0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : eprover --auto -s --tableau=1 [--tableau-equality=1] --tableau-depth=10 %s 0.11/0.32 % Computer : n024.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 07:32:30 EDT 2020 0.11/0.32 % CPUTime : 0.16/0.38 % Running in FOF/CNF-non-UEQ mode 0.37/0.61 # No SInE strategy applied 0.37/0.61 # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 0.37/0.61 # and selection function SelectNewComplexAHP. 0.37/0.61 # 0.37/0.61 # Presaturation interreduction done 0.37/0.61 # Number of axioms: 1312 Number of unprocessed: 1020 0.37/0.61 # Tableaux proof search. 0.37/0.61 # 1020 beginning clauses after preprocessing and clausification 0.37/0.61 # Creating start rules for all conjectures. 0.37/0.61 # 237 unit axioms, 1 start rules, and 783 other extension candidates. 0.37/0.61 ## Beginning tableaux proof search with 1 start rule applications. 0.56/0.81 # Beginning deep saturation check 0.56/0.81 # Saturate returned empty clause 0x2208510. 0.56/0.81 # Success 0.56/0.81 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.56/0.81 # SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.56/0.81 # Begin clausification derivation 0.56/0.81 fof(fact_233_insert__compr, axiom, ![X13, X12]:insert_fun_nat_bool(X13,X12)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X13)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_233_insert__compr)). 0.56/0.81 fof(fact_292_Collect__def, axiom, ![X22]:X22=collect_fun_nat_bool(X22), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_292_Collect__def)). 0.56/0.81 fof(fact_236_insert__compr, axiom, ![X13, X12]:insert_nat(X13,X12)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X13)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_236_insert__compr)). 0.56/0.81 fof(fact_295_Collect__def, axiom, ![X22]:X22=collect_nat(X22), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_295_Collect__def)). 0.56/0.81 fof(fact_485_singleton__conv, axiom, ![X13]:insert_fun_nat_bool(X13,bot_bo1701429464l_bool)=collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_485_singleton__conv)). 0.56/0.81 fof(fact_491_singleton__conv2, axiom, ![X13]:collect_fun_nat_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X13))=insert_fun_nat_bool(X13,bot_bo1701429464l_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_491_singleton__conv2)). 0.56/0.81 fof(fact_482_singleton__conv, axiom, ![X13]:insert_nat(X13,bot_bot_fun_nat_bool)=collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_482_singleton__conv)). 0.56/0.81 fof(fact_488_singleton__conv2, axiom, ![X13]:insert_nat(X13,bot_bot_fun_nat_bool)=collect_nat(hAPP_n1699378549t_bool(fequal_nat,X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_488_singleton__conv2)). 0.56/0.81 fof(fact_240_insert__Collect, axiom, ![X13, X22]:collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X13))),X22))=insert_fun_nat_bool(X13,collect_fun_nat_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_240_insert__Collect)). 0.56/0.81 fof(fact_453_doubleton__eq__iff, axiom, ![X13, X14, X31, X78]:(insert_nat(X13,insert_nat(X14,bot_bot_fun_nat_bool))=insert_nat(X31,insert_nat(X78,bot_bot_fun_nat_bool))<=>((X13=X78&X31=X14)|(X14=X78&X31=X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_453_doubleton__eq__iff)). 0.56/0.81 fof(fact_479_Collect__conv__if2, axiom, ![X22, X13]:((~(hBOOL(hAPP_f54304608l_bool(X22,X13)))=>bot_bo1701429464l_bool=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X13)),X22)))&(insert_fun_nat_bool(X13,bot_bo1701429464l_bool)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X13)),X22))<=hBOOL(hAPP_f54304608l_bool(X22,X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_479_Collect__conv__if2)). 0.56/0.81 fof(fact_447_singleton__inject, axiom, ![X13, X14]:(insert_nat(X14,bot_bot_fun_nat_bool)=insert_nat(X13,bot_bot_fun_nat_bool)=>X13=X14), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_447_singleton__inject)). 0.56/0.81 fof(fact_452_doubleton__eq__iff, axiom, ![X13, X14, X31, X78]:((((is_pname(X13)&is_pname(X14))&is_pname(X31))&is_pname(X78))=>(insert_pname(X13,insert_pname(X14,bot_bo844097828e_bool))=insert_pname(X31,insert_pname(X78,bot_bo844097828e_bool))<=>((X14=X78&X31=X13)|(X31=X14&X13=X78)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_452_doubleton__eq__iff)). 0.56/0.81 fof(fact_317_insert__compr__raw, axiom, ![X32, X53]:insert_pname(X32,X53)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X32)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_317_insert__compr__raw)). 0.56/0.81 fof(fact_489_singleton__conv2, axiom, ![X13]:insert_pname(X13,bot_bo844097828e_bool)=collect_pname(hAPP_p61793385e_bool(fequal_pname,X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_489_singleton__conv2)). 0.56/0.81 fof(fact_239_insert__Collect, axiom, ![X13, X22]:insert_pname(X13,collect_pname(X22))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X13))),X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_239_insert__Collect)). 0.56/0.81 fof(fact_254_insert__code, axiom, ![X6, X7, X8]:((hBOOL(hAPP_pname_bool(insert_pname(X6,X7),X8))<=>(X8=X6|hBOOL(hAPP_pname_bool(X7,X8))))<=(is_pname(X6)&is_pname(X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_254_insert__code)). 0.56/0.81 fof(fact_454_doubleton__eq__iff, axiom, ![X13, X14, X31, X78]:((((is_a(X13)&is_a(X14))&is_a(X78))&is_a(X31))=>(insert_a(X13,insert_a(X14,bot_bot_fun_a_bool))=insert_a(X31,insert_a(X78,bot_bot_fun_a_bool))<=>((X13=X78&X14=X31)|(X14=X78&X13=X31)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_454_doubleton__eq__iff)). 0.56/0.81 fof(fact_318_insert__compr__raw, axiom, ![X32, X53]:insert_a(X32,X53)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X32)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_318_insert__compr__raw)). 0.56/0.81 fof(fact_490_singleton__conv2, axiom, ![X13]:insert_a(X13,bot_bot_fun_a_bool)=collect_a(hAPP_a_fun_a_bool(fequal_a,X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_490_singleton__conv2)). 0.56/0.81 fof(fact_244_insert__Collect, axiom, ![X13, X22]:insert_a(X13,collect_a(X22))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X13))),X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_244_insert__Collect)). 0.56/0.81 fof(fact_101_finite__insert, axiom, ![X13, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(X13,X7)))<=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_101_finite__insert)). 0.56/0.81 fof(fact_456_singleton__iff, axiom, ![X14, X13]:((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X14),insert_pname(X13,bot_bo844097828e_bool)))<=>X14=X13)<=(is_pname(X13)&is_pname(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_456_singleton__iff)). 0.56/0.81 fof(fact_97_finite__insert, axiom, ![X13, X7]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(X13,X7)))<=>hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_97_finite__insert)). 0.56/0.82 fof(fact_450_singletonE, axiom, ![X14, X13]:((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X14),insert_pname(X13,bot_bo844097828e_bool)))=>X13=X14)<=(is_pname(X13)&is_pname(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_450_singletonE)). 0.56/0.82 fof(fact_455_singleton__iff, axiom, ![X14, X13]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X14),insert_nat(X13,bot_bot_fun_nat_bool)))<=>X13=X14), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_455_singleton__iff)). 0.56/0.82 fof(fact_256_insert__code, axiom, ![X6, X7, X8]:((hBOOL(hAPP_a_bool(insert_a(X6,X7),X8))<=>(hBOOL(hAPP_a_bool(X7,X8))|X6=X8))<=(is_a(X6)&is_a(X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_256_insert__code)). 0.56/0.82 fof(fact_457_singleton__iff, axiom, ![X14, X13]:((is_a(X14)&is_a(X13))=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X14),insert_a(X13,bot_bot_fun_a_bool)))<=>X13=X14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_457_singleton__iff)). 0.56/0.82 fof(fact_332_insert__mono, axiom, ![X13, X62, X63]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X62),X63))=>hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X13,X62)),insert_nat(X13,X63)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_332_insert__mono)). 0.56/0.82 fof(fact_474_Collect__conv__if, axiom, ![X22, X13]:((~(hBOOL(hAPP_f1664156314l_bool(X22,X13)))=>collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X13)),X22))=bot_bo1649642514l_bool)&(collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X13)),X22))=insert1325755072e_bool(X13,bot_bo1649642514l_bool)<=hBOOL(hAPP_f1664156314l_bool(X22,X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_474_Collect__conv__if)). 0.56/0.82 fof(fact_314_insert__compr__raw, axiom, ![X32, X53]:insert1325755072e_bool(X32,X53)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X32)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_314_insert__compr__raw)). 0.56/0.82 fof(fact_492_singleton__conv2, axiom, ![X13]:collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X13))=insert1325755072e_bool(X13,bot_bo1649642514l_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_492_singleton__conv2)). 0.56/0.82 fof(fact_257_insert__ident, axiom, ![X12, X8, X7]:(~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7)))=>(~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X12)))=>(insert_nat(X8,X7)=insert_nat(X8,X12)<=>X7=X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_257_insert__ident)). 0.56/0.82 fof(fact_471_Collect__conv__if, axiom, ![X22, X13]:((collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X13)),X22))=insert_pname(X13,bot_bo844097828e_bool)<=hBOOL(hAPP_pname_bool(X22,X13)))&(bot_bo844097828e_bool=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X13)),X22))<=~(hBOOL(hAPP_pname_bool(X22,X13))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_471_Collect__conv__if)). 0.56/0.82 fof(fact_58_card__insert__le, axiom, ![X8, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X7)),hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X8,X7))))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_58_card__insert__le)). 0.56/0.82 fof(fact_54_card__insert__le, axiom, ![X8, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X7)),hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X8,X7))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_54_card__insert__le)). 0.56/0.82 fof(fact_322_insert__subset, axiom, ![X8, X7, X12]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X8,X7)),X12))<=>(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X12))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_322_insert__subset)). 0.56/0.82 fof(fact_495_subset__singletonD, axiom, ![X7, X8]:(is_fun_pname_bool(X7)=>((X7=bot_bo844097828e_bool|X7=insert_pname(X8,bot_bo844097828e_bool))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),insert_pname(X8,bot_bo844097828e_bool))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_495_subset__singletonD)). 0.56/0.82 fof(fact_475_Collect__conv__if, axiom, ![X22, X13]:((hBOOL(hAPP_fun_a_bool_bool(X22,X13))=>insert_fun_a_bool(X13,bot_bo1389914601l_bool)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X13)),X22)))&(~(hBOOL(hAPP_fun_a_bool_bool(X22,X13)))=>bot_bo1389914601l_bool=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X13)),X22)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_475_Collect__conv__if)). 0.56/0.82 fof(fact_315_insert__compr__raw, axiom, ![X32, X53]:insert_fun_a_bool(X32,X53)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X32)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X53))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_315_insert__compr__raw)). 0.56/0.82 fof(fact_493_singleton__conv2, axiom, ![X13]:insert_fun_a_bool(X13,bot_bo1389914601l_bool)=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_493_singleton__conv2)). 0.56/0.82 fof(fact_480_Collect__conv__if2, axiom, ![X22, X13]:((insert1325755072e_bool(X13,bot_bo1649642514l_bool)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X13)),X22))<=hBOOL(hAPP_f1664156314l_bool(X22,X13)))&(collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X13)),X22))=bot_bo1649642514l_bool<=~(hBOOL(hAPP_f1664156314l_bool(X22,X13))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_480_Collect__conv__if2)). 0.56/0.82 fof(fact_494_subset__singletonD, axiom, ![X7, X8]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),insert_nat(X8,bot_bot_fun_nat_bool)))=>(X7=insert_nat(X8,bot_bot_fun_nat_bool)|X7=bot_bot_fun_nat_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_494_subset__singletonD)). 0.56/0.82 fof(fact_477_Collect__conv__if2, axiom, ![X22, X13]:((insert_pname(X13,bot_bo844097828e_bool)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X13)),X22))<=hBOOL(hAPP_pname_bool(X22,X13)))&(bot_bo844097828e_bool=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X13)),X22))<=~(hBOOL(hAPP_pname_bool(X22,X13))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_477_Collect__conv__if2)). 0.56/0.82 fof(fact_60_card__insert__if, axiom, ![X8, X7]:(((hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X8,X7))=hAPP_f696928925ol_nat(finite346522414t_bool,X7)<=hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X8),X7)))&(~(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X8),X7)))=>hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,X7))=hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X8,X7))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_60_card__insert__if)). 0.56/0.82 fof(fact_63_card__insert__if, axiom, ![X8, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))=>((hAPP_f22106695ol_nat(finite_card_nat,X7)=hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X8,X7))<=hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7)))&(~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7)))=>hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,X7))=hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X8,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_63_card__insert__if)). 0.56/0.82 fof(fact_481_Collect__conv__if2, axiom, ![X22, X13]:((collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X13)),X22))=bot_bo1389914601l_bool<=~(hBOOL(hAPP_fun_a_bool_bool(X22,X13))))&(collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X13)),X22))=insert_fun_a_bool(X13,bot_bo1389914601l_bool)<=hBOOL(hAPP_fun_a_bool_bool(X22,X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_481_Collect__conv__if2)). 0.56/0.82 fof(fact_559_finite__subset__induct, axiom, ![X22, X7, X38]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X38))=>((hBOOL(hAPP_f1637334154l_bool(X22,bot_bo1701429464l_bool))=>(hBOOL(hAPP_f1637334154l_bool(X22,X38))<=![X48, X49]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X49))=>(((hBOOL(hAPP_f1637334154l_bool(X22,insert_fun_nat_bool(X48,X49)))<=hBOOL(hAPP_f1637334154l_bool(X22,X49)))<=~(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X48),X49))))<=hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X48),X7))))))<=hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X38),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_559_finite__subset__induct)). 0.56/0.82 fof(fact_556_finite__subset__induct, axiom, ![X22, X7, X38]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X38),X7))=>(hBOOL(hAPP_f54304608l_bool(X22,bot_bot_fun_nat_bool))=>(![X48, X49]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X49))=>(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X48),X7))=>((hBOOL(hAPP_f54304608l_bool(X22,X49))=>hBOOL(hAPP_f54304608l_bool(X22,insert_nat(X48,X49))))<=~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X48),X49))))))=>hBOOL(hAPP_f54304608l_bool(X22,X38)))))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_556_finite__subset__induct)). 0.56/0.82 fof(fact_325_subset__insert, axiom, ![X12, X8, X7]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))<=>hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),insert_nat(X8,X12))))<=~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_325_subset__insert)). 0.56/0.82 fof(fact_446_singleton__inject, axiom, ![X13, X14]:((insert_pname(X14,bot_bo844097828e_bool)=insert_pname(X13,bot_bo844097828e_bool)=>X14=X13)<=(is_pname(X14)&is_pname(X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_446_singleton__inject)). 0.56/0.82 fof(fact_222_insertCI, axiom, ![X14, X13, X12]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X13),insert_nat(X14,X12)))<=(~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X13),X12)))=>X14=X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_222_insertCI)). 0.56/0.82 fof(fact_329_subset__insertI2, axiom, ![X14, X7, X12]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),insert_nat(X14,X12)))<=hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_329_subset__insertI2)). 0.56/0.82 fof(fact_341_insert__image, axiom, ![X9, X8, X7]:(insert_nat(hAPP_a_nat(X9,X8),image_a_nat(X9,X7))=image_a_nat(X9,X7)<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_341_insert__image)). 0.56/0.82 fof(fact_339_insert__image, axiom, ![X9, X8, X7]:(insert_nat(hAPP_pname_nat(X9,X8),image_pname_nat(X9,X7))=image_pname_nat(X9,X7)<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_339_insert__image)). 0.56/0.82 fof(fact_563_finite__induct, axiom, ![X22, X38]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X38))=>(hBOOL(hAPP_f1637334154l_bool(X22,bot_bo1701429464l_bool))=>(hBOOL(hAPP_f1637334154l_bool(X22,X38))<=![X32, X49]:((~(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X32),X49)))=>(hBOOL(hAPP_f1637334154l_bool(X22,X49))=>hBOOL(hAPP_f1637334154l_bool(X22,insert_fun_nat_bool(X32,X49)))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X49)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_563_finite__induct)). 0.56/0.82 fof(fact_255_insert__code, axiom, ![X6, X7, X8]:((hBOOL(hAPP_nat_bool(X7,X8))|X6=X8)<=>hBOOL(hAPP_nat_bool(insert_nat(X6,X7),X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_255_insert__code)). 0.56/0.82 fof(fact_27_finite_OinsertI, axiom, ![X13, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(X13,X7)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_27_finite_OinsertI)). 0.56/0.82 fof(fact_225_insertE, axiom, ![X13, X14, X7]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X13),X7))<=X13!=X14)<=hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X13),insert_nat(X14,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_225_insertE)). 0.56/0.82 fof(fact_373_assms_I3_J, axiom, ![X61, X31]:((![X32]:(is_pname(X32)=>(hBOOL(hAPP_fun_a_bool_bool(p(X61),insert_a(hAPP_pname_a(mgt_call,X32),bot_bot_fun_a_bool)))<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),u))))=>hBOOL(hAPP_fun_a_bool_bool(p(X61),insert_a(mgt(X31),bot_bot_fun_a_bool))))<=hBOOL(wt(X31))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_373_assms_I3_J)). 0.56/0.82 fof(fact_476_Collect__conv__if2, axiom, ![X22, X13]:((hBOOL(hAPP_nat_bool(X22,X13))=>collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X13)),X22))=insert_nat(X13,bot_bot_fun_nat_bool))&(bot_bot_fun_nat_bool=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X13)),X22))<=~(hBOOL(hAPP_nat_bool(X22,X13))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_476_Collect__conv__if2)). 0.56/0.82 fof(fact_263_insert__absorb, axiom, ![X13, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X13),X7))=>X7=insert_nat(X13,X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_263_insert__absorb)). 0.56/0.82 fof(fact_562_assms_I2_J, axiom, ![X75, X61]:(hBOOL(hAPP_fun_a_bool_bool(p(X61),insert_a(hAPP_pname_a(mgt_call,X75),bot_bot_fun_a_bool)))<=hBOOL(hAPP_fun_a_bool_bool(p(insert_a(hAPP_pname_a(mgt_call,X75),X61)),insert_a(mgt(the_com(body(X75))),bot_bot_fun_a_bool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_562_assms_I2_J)). 0.56/0.82 fof(fact_497_image__constant, axiom, ![X31, X8, X7]:(insert_a(X31,bot_bot_fun_a_bool)=image_pname_a(cOMBK_a_pname(X31),X7)<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_497_image__constant)). 0.56/0.82 fof(fact_498_image__constant__conv, axiom, ![X31, X7]:(is_fun_pname_bool(X7)=>((image_pname_a(cOMBK_a_pname(X31),X7)=insert_a(X31,bot_bot_fun_a_bool)<=X7!=bot_bo844097828e_bool)&(X7=bot_bo844097828e_bool=>bot_bot_fun_a_bool=image_pname_a(cOMBK_a_pname(X31),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_498_image__constant__conv)). 0.56/0.82 fof(fact_472_Collect__conv__if, axiom, ![X22, X13]:((collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X13)),X22))=insert_a(X13,bot_bot_fun_a_bool)<=hBOOL(hAPP_a_bool(X22,X13)))&(bot_bot_fun_a_bool=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X13)),X22))<=~(hBOOL(hAPP_a_bool(X22,X13))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_472_Collect__conv__if)). 0.56/0.82 fof(fact_478_Collect__conv__if2, axiom, ![X22, X13]:((~(hBOOL(hAPP_a_bool(X22,X13)))=>bot_bot_fun_a_bool=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X13)),X22)))&(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X13)),X22))=insert_a(X13,bot_bot_fun_a_bool)<=hBOOL(hAPP_a_bool(X22,X13)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_478_Collect__conv__if2)). 0.56/0.82 fof(fact_496_subset__singletonD, axiom, ![X7, X8]:(((X7=bot_bot_fun_a_bool|X7=insert_a(X8,bot_bot_fun_a_bool))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),insert_a(X8,bot_bot_fun_a_bool))))<=is_fun_a_bool(X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_496_subset__singletonD)). 0.56/0.82 fof(fact_448_singleton__inject, axiom, ![X13, X14]:((is_a(X14)&is_a(X13))=>(X14=X13<=insert_a(X13,bot_bot_fun_a_bool)=insert_a(X14,bot_bot_fun_a_bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_448_singleton__inject)). 0.56/0.82 fof(fact_462_empty__not__insert, axiom, ![X13, X7]:insert_nat(X13,X7)!=bot_bot_fun_nat_bool, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_462_empty__not__insert)). 0.56/0.82 fof(fact_399_Collect__empty__eq, axiom, ![X22]:(![X32]:~(hBOOL(hAPP_f54304608l_bool(X22,X32)))<=>bot_bo1701429464l_bool=collect_fun_nat_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_399_Collect__empty__eq)). 0.56/0.82 fof(fact_403_Collect__empty__eq, axiom, ![X22]:(collect_nat(X22)=bot_bot_fun_nat_bool<=>![X32]:~(hBOOL(hAPP_nat_bool(X22,X32)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_403_Collect__empty__eq)). 0.56/0.82 fof(conj_6, conjecture, hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_6)). 0.56/0.82 fof(fact_248_insert__commute, axiom, ![X8, X6, X7]:insert_pname(X8,insert_pname(X6,X7))=insert_pname(X6,insert_pname(X8,X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_248_insert__commute)). 0.56/0.82 fof(fact_249_insert__commute, axiom, ![X8, X6, X7]:insert_nat(X8,insert_nat(X6,X7))=insert_nat(X6,insert_nat(X8,X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_249_insert__commute)). 0.56/0.82 fof(fact_250_insert__commute, axiom, ![X8, X6, X7]:insert_a(X8,insert_a(X6,X7))=insert_a(X6,insert_a(X8,X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_250_insert__commute)). 0.56/0.82 fof(fact_245_insert__absorb2, axiom, ![X8, X7]:insert_pname(X8,insert_pname(X8,X7))=insert_pname(X8,X7), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_245_insert__absorb2)). 0.56/0.82 fof(fact_246_insert__absorb2, axiom, ![X8, X7]:insert_nat(X8,insert_nat(X8,X7))=insert_nat(X8,X7), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_246_insert__absorb2)). 0.56/0.82 fof(fact_335_image__insert, axiom, ![X9, X13, X12]:image_a_nat(X9,insert_a(X13,X12))=insert_nat(hAPP_a_nat(X9,X13),image_a_nat(X9,X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_335_image__insert)). 0.56/0.82 fof(fact_336_image__insert, axiom, ![X9, X13, X12]:image_nat_a(X9,insert_nat(X13,X12))=insert_a(hAPP_nat_a(X9,X13),image_nat_a(X9,X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_336_image__insert)). 0.56/0.82 fof(fact_243_insert__Collect, axiom, ![X13, X22]:insert_nat(X13,collect_nat(X22))=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X13))),X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_243_insert__Collect)). 0.56/0.82 fof(fact_230_insertI1, axiom, ![X13, X12]:hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X13),insert_nat(X13,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_230_insertI1)). 0.56/0.82 fof(fact_320_subset__insertI, axiom, ![X12, X13]:hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),insert_nat(X13,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_320_subset__insertI)). 0.56/0.82 fof(fact_483_singleton__conv, axiom, ![X13]:insert_pname(X13,bot_bo844097828e_bool)=collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_483_singleton__conv)). 0.56/0.82 fof(fact_486_singleton__conv, axiom, ![X13]:collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X13))=insert1325755072e_bool(X13,bot_bo1649642514l_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_486_singleton__conv)). 0.56/0.82 fof(fact_487_singleton__conv, axiom, ![X13]:collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X13))=insert_fun_a_bool(X13,bot_bo1389914601l_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_487_singleton__conv)). 0.56/0.82 fof(fact_247_insert__absorb2, axiom, ![X8, X7]:insert_a(X8,X7)=insert_a(X8,insert_a(X8,X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_247_insert__absorb2)). 0.56/0.82 fof(fact_484_singleton__conv, axiom, ![X13]:insert_a(X13,bot_bot_fun_a_bool)=collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_484_singleton__conv)). 0.56/0.82 fof(fact_120_not__less__eq__eq, axiom, ![X20, X21]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X21)),X20))<=>~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_120_not__less__eq__eq)). 0.56/0.82 fof(fact_670_less__eq__Suc__le__raw, axiom, ![X32]:hAPP_n1699378549t_bool(ord_less_nat,X32)=hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_670_less__eq__Suc__le__raw)). 0.56/0.82 fof(fact_331_insert__mono, axiom, ![X13, X62, X63]:(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X13,X62)),insert_pname(X13,X63)))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X62),X63))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_331_insert__mono)). 0.56/0.82 fof(fact_258_insert__ident, axiom, ![X12, X8, X7]:((((X12=X7<=>insert_pname(X8,X7)=insert_pname(X8,X12))<=~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X12))))<=~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))))<=(is_fun_pname_bool(X12)&is_fun_pname_bool(X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_258_insert__ident)). 0.56/0.82 fof(fact_70_card__insert__disjoint, axiom, ![X8, X7]:((~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7)))=>hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X8,X7))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_70_card__insert__disjoint)). 0.56/0.82 fof(fact_57_card__insert__le, axiom, ![X8, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X7)),hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X8,X7))))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_57_card__insert__le)). 0.56/0.82 fof(fact_55_card__insert__le, axiom, ![X8, X7]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X7)),hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X8,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_55_card__insert__le)). 0.56/0.82 fof(fact_62_card__insert__if, axiom, ![X8, X7]:(((~(hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X8),X7)))=>hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,X7))=hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X8,X7)))&(hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X8,X7))=hAPP_f2009550088ol_nat(finite1306199131a_bool,X7)<=hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X8),X7))))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_62_card__insert__if)). 0.56/0.82 fof(fact_67_card__insert__disjoint, axiom, ![X8, X7]:((~(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X8),X7)))=>hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X7))=hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X8,X7)))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_67_card__insert__disjoint)). 0.56/0.82 fof(fact_323_insert__subset, axiom, ![X8, X7, X12]:(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X8,X7)),X12))<=>(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X12))&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_323_insert__subset)). 0.56/0.82 fof(fact_56_card__insert__le, axiom, ![X8, X7]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X7)),hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X8,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_56_card__insert__le)). 0.56/0.82 fof(fact_64_card__insert__if, axiom, ![X8, X7]:(((hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X8,X7))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X7))<=~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))=>hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X8,X7))=hAPP_f921600141ol_nat(finite_card_pname,X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_64_card__insert__if)). 0.56/0.82 fof(fact_61_card__insert__if, axiom, ![X8, X7]:(((~(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X8),X7)))=>hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X8,X7))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X7)))&(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X8),X7))=>hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X8,X7))=hAPP_f55526627ol_nat(finite1340463720e_bool,X7)))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_61_card__insert__if)). 0.56/0.82 fof(fact_338_insert__image, axiom, ![X9, X8, X7]:(image_pname_pname(X9,X7)=insert_pname(hAPP_pname_pname(X9,X8),image_pname_pname(X9,X7))<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_338_insert__image)). 0.56/0.82 fof(fact_561_finite__subset__induct, axiom, ![X22, X7, X38]:((((![X48, X49]:((is_fun_a_bool(X48)&is_fun949378684l_bool(X49))=>(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X49))=>(((hBOOL(hAPP_f621171935l_bool(X22,insert_fun_a_bool(X48,X49)))<=hBOOL(hAPP_f621171935l_bool(X22,X49)))<=~(hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X48),X49))))<=hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X48),X7)))))=>hBOOL(hAPP_f621171935l_bool(X22,X38)))<=hBOOL(hAPP_f621171935l_bool(X22,bot_bo1389914601l_bool)))<=hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X38),X7)))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_561_finite__subset__induct)). 0.56/0.82 fof(fact_560_finite__subset__induct, axiom, ![X22, X7, X38]:((hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X38),X7))=>(hBOOL(hAPP_f1935102916l_bool(X22,bot_bo1649642514l_bool))=>(![X48, X49]:((is_fun1661590463l_bool(X49)&is_fun_pname_bool(X48))=>((hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X48),X7))=>(~(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X48),X49)))=>(hBOOL(hAPP_f1935102916l_bool(X22,insert1325755072e_bool(X48,X49)))<=hBOOL(hAPP_f1935102916l_bool(X22,X49)))))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X49))))=>hBOOL(hAPP_f1935102916l_bool(X22,X38)))))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_560_finite__subset__induct)). 0.56/0.82 fof(fact_340_insert__image, axiom, ![X9, X8, X7]:(insert_pname(hAPP_a_pname(X9,X8),image_a_pname(X9,X7))=image_a_pname(X9,X7)<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_340_insert__image)). 0.56/0.82 fof(fact_557_finite__subset__induct, axiom, ![X22, X7, X38]:(((hBOOL(hAPP_f1664156314l_bool(X22,bot_bo844097828e_bool))=>(hBOOL(hAPP_f1664156314l_bool(X22,X38))<=![X48, X49]:(((((hBOOL(hAPP_f1664156314l_bool(X22,insert_pname(X48,X49)))<=hBOOL(hAPP_f1664156314l_bool(X22,X49)))<=~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X48),X49))))<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X48),X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X49)))<=(is_fun_pname_bool(X49)&is_pname(X48)))))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X38),X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_557_finite__subset__induct)). 0.56/0.82 fof(fact_261_insertI2, axiom, ![X14, X13, X12]:(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X12))=>hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),insert_pname(X14,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_261_insertI2)). 0.56/0.82 fof(fact_328_subset__insertI2, axiom, ![X14, X7, X12]:(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12))=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),insert_pname(X14,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_328_subset__insertI2)). 0.56/0.82 fof(fact_326_subset__insert, axiom, ![X12, X8, X7]:(~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7)))=>(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12))<=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),insert_pname(X8,X12))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_326_subset__insert)). 0.56/0.82 fof(fact_252_insert__iff, axiom, ![X13, X14, X7]:((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),insert_pname(X14,X7)))<=>(X13=X14|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X7))))<=(is_pname(X13)&is_pname(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_252_insert__iff)). 0.56/0.82 fof(fact_565_finite__induct, axiom, ![X22, X38]:(((hBOOL(hAPP_f621171935l_bool(X22,X38))<=![X32, X49]:((hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X49))=>((hBOOL(hAPP_f621171935l_bool(X22,insert_fun_a_bool(X32,X49)))<=hBOOL(hAPP_f621171935l_bool(X22,X49)))<=~(hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X32),X49)))))<=(is_fun_a_bool(X32)&is_fun949378684l_bool(X49))))<=hBOOL(hAPP_f621171935l_bool(X22,bot_bo1389914601l_bool)))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_565_finite__induct)). 0.56/0.82 fof(fact_564_finite__induct, axiom, ![X22, X38]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))=>((![X32, X49]:(((~(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X32),X49)))=>(hBOOL(hAPP_f1935102916l_bool(X22,insert1325755072e_bool(X32,X49)))<=hBOOL(hAPP_f1935102916l_bool(X22,X49))))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X49)))<=(is_fun1661590463l_bool(X49)&is_fun_pname_bool(X32)))=>hBOOL(hAPP_f1935102916l_bool(X22,X38)))<=hBOOL(hAPP_f1935102916l_bool(X22,bot_bo1649642514l_bool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_564_finite__induct)). 0.56/0.82 fof(fact_196_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X9,X7)))=>?[X32]:(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X32),X7))&~(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X7)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fequal_nat,X9)),hAPP_f22106695ol_nat(X9,X32)))))))))<=~(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_196_pigeonhole__infinite)). 0.56/0.82 fof(fact_190_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7)))=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X9,X7)))=>?[X32]:(~(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X7)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fequal_pname,X9)),hAPP_f1291551745_pname(X9,X32)))))))&hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X32),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_190_pigeonhole__infinite)). 0.56/0.82 fof(fact_202_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X9,X7)))=>?[X32]:(~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X7)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,X9)),hAPP_nat_fun_a_bool(X9,X32)))))))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))))<=~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_202_pigeonhole__infinite)). 0.56/0.82 fof(fact_200_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7)))=>(?[X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))&~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X7)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,X9)),hAPP_n1699378549t_bool(X9,X32))))))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_200_pigeonhole__infinite)). 0.56/0.82 fof(fact_199_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7)))=>(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X9,X7)))=>?[X32]:(~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X7)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fequal_a,X9)),hAPP_nat_a(X9,X32)))))))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_199_pigeonhole__infinite)). 0.56/0.82 fof(fact_264_insert__absorb, axiom, ![X13, X7]:(is_fun_pname_bool(X7)=>(X7=insert_pname(X13,X7)<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_264_insert__absorb)). 0.56/0.82 fof(fact_98_finite__insert, axiom, ![X13, X7]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))<=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X13,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_98_finite__insert)). 0.56/0.82 fof(fact_100_finite__insert, axiom, ![X13, X7]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X13,X7)))<=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_100_finite__insert)). 0.56/0.82 fof(fact_201_pigeonhole__infinite, axiom, ![X9, X7]:((?[X32]:(~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X7)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,X9)),hAPP_n1025906991e_bool(X9,X32)))))))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7)))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X9,X7))))<=~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_201_pigeonhole__infinite)). 0.56/0.82 fof(fact_193_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X9,X7)))=>?[X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))&~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X7)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fequal_nat,X9)),hAPP_nat_nat(X9,X32)))))))))<=~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_193_pigeonhole__infinite)). 0.56/0.82 fof(fact_187_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7)))=>(?[X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))&~(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X7)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fequal_pname,X9)),hAPP_nat_pname(X9,X32))))))))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_187_pigeonhole__infinite)). 0.56/0.82 fof(fact_125_Nat_Odiff__diff__eq, axiom, ![X5, X27, X4]:((hAPP_nat_nat(minus_minus_nat(X4),X5)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X4),X27)),hAPP_nat_nat(minus_minus_nat(X5),X27))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X5)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_125_Nat_Odiff__diff__eq)). 0.56/0.82 fof(fact_581_diff__diff__left, axiom, ![X11, X24, X27]:hAPP_nat_nat(minus_minus_nat(X11),hAPP_nat_nat(plus_plus_nat(X24),X27))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X11),X24)),X27), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_581_diff__diff__left)). 0.56/0.82 fof(fact_25_finite_OinsertI, axiom, ![X13, X7]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))=>hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(X13,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_25_finite_OinsertI)). 0.56/0.82 fof(gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun1661590463l_bool(insert1325755072e_bool(X1,X2))<=(is_fun1661590463l_bool(X2)&is_fun_pname_bool(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_Set_Oinsert_000tc__Com__Opname, axiom, ![X1, X2]:((is_pname(X1)&is_fun_pname_bool(X2))=>is_fun_pname_bool(insert_pname(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oinsert_000tc__Com__Opname)). 0.56/0.82 fof(fact_600_le__diff__conv2, axiom, ![X34, X35, X36]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X34),hAPP_nat_nat(minus_minus_nat(X36),X35)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X34),X35)),X36)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X35),X36))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_600_le__diff__conv2)). 0.56/0.82 fof(fact_592_add__leD2, axiom, ![X4, X27, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X5))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X4),X27)),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_592_add__leD2)). 0.56/0.82 fof(gsy_c_Set_Oinsert_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:((is_fun949378684l_bool(X2)&is_fun_a_bool(X1))=>is_fun949378684l_bool(insert_fun_a_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oinsert_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(fact_59_card__insert__le, axiom, ![X8, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X7)),hAPP_fun_a_bool_nat(finite_card_a,insert_a(X8,X7))))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_59_card__insert__le)). 0.56/0.82 fof(fact_566_finite__less__ub, axiom, ![X55, X9]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,X9)),X55))))<=![X47]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X47),hAPP_nat_nat(X9,X47)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_566_finite__less__ub)). 0.56/0.82 fof(fact_259_insert__ident, axiom, ![X12, X8, X7]:((is_fun_a_bool(X12)&is_fun_a_bool(X7))=>(((X7=X12<=>insert_a(X8,X12)=insert_a(X8,X7))<=~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X12))))<=~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_259_insert__ident)). 0.56/0.82 fof(fact_71_card__insert__disjoint, axiom, ![X8, X7]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))=>(hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X7))=hAPP_fun_a_bool_nat(finite_card_a,insert_a(X8,X7))<=~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_71_card__insert__disjoint)). 0.56/0.82 fof(fact_558_finite__subset__induct, axiom, ![X22, X7, X38]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X38))=>((hBOOL(hAPP_fun_a_bool_bool(X22,bot_bot_fun_a_bool))=>(![X48, X49]:((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X49))=>((~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X48),X49)))=>(hBOOL(hAPP_fun_a_bool_bool(X22,insert_a(X48,X49)))<=hBOOL(hAPP_fun_a_bool_bool(X22,X49))))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X48),X7))))<=(is_fun_a_bool(X49)&is_a(X48)))=>hBOOL(hAPP_fun_a_bool_bool(X22,X38))))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X38),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_558_finite__subset__induct)). 0.56/0.82 fof(fact_342_insert__image, axiom, ![X9, X8, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7))=>insert_a(hAPP_nat_a(X9,X8),image_nat_a(X9,X7))=image_nat_a(X9,X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_342_insert__image)). 0.56/0.82 fof(fact_570_less__eq__nat_Osimps_I2_J, axiom, ![X20, X21]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X20)),X21))<=>hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X20)),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_570_less__eq__nat_Osimps_I2_J)). 0.56/0.82 fof(fact_99_finite__insert, axiom, ![X13, X7]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))<=>hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(X13,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_99_finite__insert)). 0.56/0.82 fof(fact_65_card__insert__if, axiom, ![X8, X7]:(((~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7)))=>hAPP_fun_a_bool_nat(finite_card_a,insert_a(X8,X7))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X7)))&(hAPP_fun_a_bool_nat(finite_card_a,insert_a(X8,X7))=hAPP_fun_a_bool_nat(finite_card_a,X7)<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7))))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_65_card__insert__if)). 0.56/0.82 fof(fact_92_finite__Collect__disjI, axiom, ![X22, X23]:((hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X22)))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X23))))<=>hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X22),X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_92_finite__Collect__disjI)). 0.56/0.82 fof(fact_96_finite__Collect__disjI, axiom, ![X22, X23]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X23)))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X22))))<=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X22),X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_96_finite__Collect__disjI)). 0.56/0.82 fof(fact_253_insert__iff, axiom, ![X13, X14, X7]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X13),insert_a(X14,X7)))<=>(X14=X13|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X13),X7))))<=(is_a(X13)&is_a(X14))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_253_insert__iff)). 0.56/0.82 fof(fact_343_insert__image, axiom, ![X9, X8, X7]:(insert_a(hAPP_pname_a(X9,X8),image_pname_a(X9,X7))=image_pname_a(X9,X7)<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_343_insert__image)). 0.56/0.82 fof(fact_73_finite__Collect__conjI, axiom, ![X23, X22]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X22),X23))))<=(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X22)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_73_finite__Collect__conjI)). 0.56/0.82 fof(fact_77_finite__Collect__conjI, axiom, ![X23, X22]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X22)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X23))))=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X22),X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_77_finite__Collect__conjI)). 0.56/0.82 fof(fact_229_Suc__le__D, axiom, ![X5, X77]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X5)),X77))=>?[X65]:X77=hAPP_nat_nat(suc,X65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_229_Suc__le__D)). 0.56/0.82 fof(fact_6_finite__Collect__subsets, axiom, ![X7]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),X7))))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_6_finite__Collect__subsets)). 0.56/0.82 fof(fact_333_insert__mono, axiom, ![X13, X62, X63]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X13,X62)),insert_a(X13,X63)))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X62),X63))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_333_insert__mono)). 0.56/0.82 fof(fact_324_insert__subset, axiom, ![X8, X7, X12]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X8,X7)),X12))<=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X12))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_324_insert__subset)). 0.56/0.82 fof(fact_327_subset__insert, axiom, ![X12, X8, X7]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),insert_a(X8,X12)))<=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12)))<=~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_327_subset__insert)). 0.56/0.82 fof(fact_262_insertI2, axiom, ![X14, X13, X12]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X13),X12))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X13),insert_a(X14,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_262_insertI2)). 0.56/0.82 fof(fact_681_add__is__1, axiom, ![X20, X21]:(((zero_zero_nat=X20&X21=hAPP_nat_nat(suc,zero_zero_nat))|(hAPP_nat_nat(suc,zero_zero_nat)=X20&zero_zero_nat=X21))<=>hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(X20),X21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_681_add__is__1)). 0.56/0.82 fof(fact_682_one__is__add, axiom, ![X20, X21]:(hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(X20),X21)<=>((hAPP_nat_nat(suc,zero_zero_nat)=X21&zero_zero_nat=X20)|(X21=zero_zero_nat&hAPP_nat_nat(suc,zero_zero_nat)=X20))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_682_one__is__add)). 0.56/0.82 fof(fact_265_insert__absorb, axiom, ![X13, X7]:((X7=insert_a(X13,X7)<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X13),X7)))<=is_fun_a_bool(X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_265_insert__absorb)). 0.56/0.82 fof(gsy_c_Set_Oinsert_000t__a, hypothesis, ![X1, X2]:(is_fun_a_bool(insert_a(X1,X2))<=(is_fun_a_bool(X2)&is_a(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oinsert_000t__a)). 0.56/0.82 fof(fact_330_subset__insertI2, axiom, ![X14, X7, X12]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),insert_a(X14,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_330_subset__insertI2)). 0.56/0.82 fof(fact_408_empty__Collect__eq, axiom, ![X22]:(![X32]:~(hBOOL(hAPP_f54304608l_bool(X22,X32)))<=>bot_bo1701429464l_bool=collect_fun_nat_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_408_empty__Collect__eq)). 0.56/0.82 fof(fact_412_empty__Collect__eq, axiom, ![X22]:(![X32]:~(hBOOL(hAPP_nat_bool(X22,X32)))<=>collect_nat(X22)=bot_bot_fun_nat_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_412_empty__Collect__eq)). 0.56/0.82 fof(fact_102_finite__insert, axiom, ![X13, X7]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))<=>hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(X13,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_102_finite__insert)). 0.56/0.82 fof(fact_435_le__bot, axiom, ![X76]:(X76=bot_bot_nat<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X76),bot_bot_nat))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_435_le__bot)). 0.56/0.82 fof(fact_458_insert__not__empty, axiom, ![X13, X7]:bot_bo844097828e_bool!=insert_pname(X13,X7), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_458_insert__not__empty)). 0.56/0.82 fof(fact_463_empty__not__insert, axiom, ![X13, X7]:bot_bot_fun_a_bool!=insert_a(X13,X7), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_463_empty__not__insert)). 0.56/0.82 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T, axiom, ![X45, X46]:(X46!=X45|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X45),X46))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T)). 0.56/0.82 fof(help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T, axiom, ![X45, X46]:(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X45),X46))|X45!=X46), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T)). 0.56/0.82 fof(help_fequal_2_1_fequal_000tc__Com__Opname_T, axiom, ![X45, X46]:(hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X45),X46))|X45!=X46), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_2_1_fequal_000tc__Com__Opname_T)). 0.56/0.82 fof(help_fequal_2_1_fequal_000tc__Nat__Onat_T, axiom, ![X45, X46]:(X45!=X46|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X45),X46))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_2_1_fequal_000tc__Nat__Onat_T)). 0.56/0.82 fof(help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T, axiom, ![X45, X46]:(X45!=X46|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X45),X46))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T)). 0.56/0.82 fof(help_fequal_2_1_fequal_000t__a_T, axiom, ![X45, X46]:(X45!=X46|hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X45),X46))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_2_1_fequal_000t__a_T)). 0.56/0.82 fof(fact_334_image__insert, axiom, ![X9, X13, X12]:image_a_pname(X9,insert_a(X13,X12))=insert_pname(hAPP_a_pname(X9,X13),image_a_pname(X9,X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_334_image__insert)). 0.56/0.82 fof(fact_241_insert__Collect, axiom, ![X13, X22]:insert1325755072e_bool(X13,collec1974731493e_bool(X22))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X13))),X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_241_insert__Collect)). 0.56/0.82 fof(fact_242_insert__Collect, axiom, ![X13, X22]:collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X13))),X22))=insert_fun_a_bool(X13,collect_fun_a_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_242_insert__Collect)). 0.56/0.82 fof(fact_231_insertI1, axiom, ![X13, X12]:hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X13),insert_pname(X13,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_231_insertI1)). 0.56/0.82 fof(fact_319_subset__insertI, axiom, ![X12, X13]:hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),insert_pname(X13,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_319_subset__insertI)). 0.56/0.82 fof(fact_337_image__insert, axiom, ![X9, X13, X12]:insert_a(hAPP_pname_a(X9,X13),image_pname_a(X9,X12))=image_pname_a(X9,insert_pname(X13,X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_337_image__insert)). 0.56/0.82 fof(fact_654_finite__M__bounded__by__nat, axiom, ![X22, X34]:hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X22),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X34))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_654_finite__M__bounded__by__nat)). 0.56/0.82 fof(fact_573_add__Suc__shift, axiom, ![X4, X5]:hAPP_nat_nat(plus_plus_nat(X4),hAPP_nat_nat(suc,X5))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,X4)),X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_573_add__Suc__shift)). 0.56/0.82 fof(fact_571_add__Suc__right, axiom, ![X4, X5]:hAPP_nat_nat(plus_plus_nat(X4),hAPP_nat_nat(suc,X5))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X4),X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_571_add__Suc__right)). 0.56/0.82 fof(fact_80_card__Collect__le__nat, axiom, ![X21]:hAPP_nat_nat(suc,X21)=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_80_card__Collect__le__nat)). 0.56/0.82 fof(fact_614_finite__Collect__less__nat, axiom, ![X35]:hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X35)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_614_finite__Collect__less__nat)). 0.56/0.82 fof(fact_79_finite__Collect__le__nat, axiom, ![X35]:hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X35)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_79_finite__Collect__le__nat)). 0.56/0.82 fof(fact_653_card__Collect__less__nat, axiom, ![X21]:hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X21)))=X21, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_653_card__Collect__less__nat)). 0.56/0.82 fof(fact_232_insertI1, axiom, ![X13, X12]:hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X13),insert_a(X13,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_232_insertI1)). 0.56/0.82 fof(fact_321_subset__insertI, axiom, ![X12, X13]:hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),insert_a(X13,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_321_subset__insertI)). 0.56/0.82 fof(fact_671_mono__nat__linear__lb, axiom, ![X20, X35, X9]:(![X65, X47]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X9,X65)),hAPP_nat_nat(X9,X47)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X65),X47)))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X9,X20)),X35)),hAPP_nat_nat(X9,hAPP_nat_nat(plus_plus_nat(X20),X35))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_671_mono__nat__linear__lb)). 0.56/0.82 fof(fact_675_less__mono__imp__le__mono, axiom, ![X34, X36, X9]:(![X50, X51]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X51))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X9,X50)),hAPP_nat_nat(X9,X51))))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X34),X36))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X9,X34)),hAPP_nat_nat(X9,X36))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_675_less__mono__imp__le__mono)). 0.56/0.82 fof(fact_184_lift__Suc__mono__le, axiom, ![X21, X54, X9]:(![X47]:hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X9,X47)),hAPP_n1699378549t_bool(X9,hAPP_nat_nat(suc,X47))))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X21),X54))=>hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X9,X21)),hAPP_n1699378549t_bool(X9,X54))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_184_lift__Suc__mono__le)). 0.56/0.82 fof(fact_182_lift__Suc__mono__le, axiom, ![X21, X54, X9]:(![X47]:hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X9,X47)),hAPP_nat_bool(X9,hAPP_nat_nat(suc,X47))))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X21),X54))=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X9,X21)),hAPP_nat_bool(X9,X54))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_182_lift__Suc__mono__le)). 0.56/0.82 fof(fact_183_lift__Suc__mono__le, axiom, ![X21, X54, X9]:((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X9,X21)),hAPP_n1025906991e_bool(X9,X54)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X21),X54)))<=![X47]:hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X9,X47)),hAPP_n1025906991e_bool(X9,hAPP_nat_nat(suc,X47))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_183_lift__Suc__mono__le)). 0.56/0.82 fof(fact_186_lift__Suc__mono__le, axiom, ![X21, X54, X9]:(![X47]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X9,X47)),hAPP_nat_nat(X9,hAPP_nat_nat(suc,X47))))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X9,X21)),hAPP_nat_nat(X9,X54)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X21),X54)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_186_lift__Suc__mono__le)). 0.56/0.82 fof(fact_198_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7)))=>(?[X32]:((hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X32),X7))&~(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X7)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fequal_nat,X9)),hAPP_fun_a_bool_nat(X9,X32))))))))&is_fun_a_bool(X32))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_198_pigeonhole__infinite)). 0.56/0.82 fof(fact_192_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7)))=>(?[X32]:((is_fun_a_bool(X32)&~(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X7)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fequal_pname,X9)),hAPP_f1128469712_pname(X9,X32))))))))&hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X32),X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_192_pigeonhole__infinite)). 0.56/0.82 fof(fact_185_lift__Suc__mono__le, axiom, ![X21, X54, X9]:(![X47]:hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X9,X47)),hAPP_nat_fun_a_bool(X9,hAPP_nat_nat(suc,X47))))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X21),X54))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X9,X21)),hAPP_nat_fun_a_bool(X9,X54))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_185_lift__Suc__mono__le)). 0.56/0.82 fof(fact_619_add__less__mono, axiom, ![X27, X3, X11, X24]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X11),X27)),hAPP_nat_nat(plus_plus_nat(X24),X3)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),X3)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X24))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_619_add__less__mono)). 0.56/0.82 fof(fact_668_diff__less__mono, axiom, ![X72, X73, X74]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X73),X74))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X72),X73))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X73),X72)),hAPP_nat_nat(minus_minus_nat(X74),X72))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_668_diff__less__mono)). 0.56/0.82 fof(fact_197_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X9,X7)))=>?[X32]:((is_fun_pname_bool(X32)&~(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X7)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fequal_nat,X9)),hAPP_f921600141ol_nat(X9,X32))))))))&hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X32),X7))))<=~(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_197_pigeonhole__infinite)). 0.56/0.82 fof(fact_191_pigeonhole__infinite, axiom, ![X9, X7]:((?[X32]:((is_fun_pname_bool(X32)&~(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X7)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fequal_pname,X9)),hAPP_f1297739591_pname(X9,X32))))))))&hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X32),X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X9,X7))))<=~(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_191_pigeonhole__infinite)). 0.56/0.82 fof(fact_205_pigeonhole__infinite, axiom, ![X9, X7]:((?[X32]:((is_pname(X32)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))&~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X7)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fequal_fun_a_bool,X9)),hAPP_p1534023578a_bool(X9,X32))))))))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X9,X7))))<=~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_205_pigeonhole__infinite)). 0.56/0.82 fof(fact_203_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7)))=>(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X9,X7)))=>?[X32]:((is_pname(X32)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))&~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X7)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fequal_fun_nat_bool,X9)),hAPP_p1499970991t_bool(X9,X32)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_203_pigeonhole__infinite)). 0.56/0.82 fof(fact_642_diff__less__mono2, axiom, ![X3, X4, X5]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X3),X5)),hAPP_nat_nat(minus_minus_nat(X3),X4)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_642_diff__less__mono2)). 0.56/0.82 fof(fact_591_add__le__mono, axiom, ![X27, X3, X11, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X11),X24))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X3))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X11),X27)),hAPP_nat_nat(plus_plus_nat(X24),X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_591_add__le__mono)). 0.56/0.82 fof(fact_210_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X9,X7)))=>?[X32]:((is_pname(X32)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))&~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X7)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,X9)),hAPP_pname_a(X9,X32)))))))))<=~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_210_pigeonhole__infinite)). 0.56/0.82 fof(fact_204_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7)))=>(?[X32]:((~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X7)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fequal533582459e_bool,X9)),hAPP_p61793385e_bool(X9,X32)))))))&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))&is_pname(X32))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_204_pigeonhole__infinite)). 0.56/0.82 fof(fact_195_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7)))=>(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X9,X7)))=>?[X32]:((is_pname(X32)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))&~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X7)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fequal_nat,X9)),hAPP_pname_nat(X9,X32)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_195_pigeonhole__infinite)). 0.56/0.82 fof(fact_189_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X9,X7)))=>?[X32]:((is_pname(X32)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))&~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X7)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fequal_pname,X9)),hAPP_pname_pname(X9,X32)))))))))<=~(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_189_pigeonhole__infinite)). 0.56/0.82 fof(fact_608_diff__Suc__diff__eq2, axiom, ![X4, X27, X24]:(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X24),X27))),X4)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X24)),hAPP_nat_nat(plus_plus_nat(X27),X4))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X24))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_608_diff__Suc__diff__eq2)). 0.56/0.82 fof(fact_177_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun1661590463l_bool(X12)=>((?[X19]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X19))&image_1655916159e_bool(X9,X19)=X12)&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X19),X7)))<=hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X12),image_1655916159e_bool(X9,X7))))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_177_finite__subset__image)). 0.56/0.82 fof(fact_178_finite__subset__image, axiom, ![X9, X7, X12]:(((hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X12),image_nat_fun_a_bool(X9,X7)))=>?[X19]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X19))&X12=image_nat_fun_a_bool(X9,X19))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X19),X7))))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12)))<=is_fun949378684l_bool(X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_178_finite__subset__image)). 0.56/0.82 fof(fact_171_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun1661590463l_bool(X12)=>((?[X19]:(((is_fun_pname_bool(X19)&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)))&image_47868345e_bool(X9,X19)=X12)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X7)))<=hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X12),image_47868345e_bool(X9,X7))))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_171_finite__subset__image)). 0.56/0.82 fof(fact_172_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun949378684l_bool(X12)=>(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12))=>(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X12),image_112932426a_bool(X9,X7)))=>?[X19]:(((is_fun_pname_bool(X19)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X7)))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)))&image_112932426a_bool(X9,X19)=X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_172_finite__subset__image)). 0.56/0.82 fof(fact_672_inc__induct, axiom, ![X22, X34, X36]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X34),X36))=>(hBOOL(hAPP_nat_bool(X22,X36))=>(hBOOL(hAPP_nat_bool(X22,X34))<=![X50]:((hBOOL(hAPP_nat_bool(X22,X50))<=hBOOL(hAPP_nat_bool(X22,hAPP_nat_nat(suc,X50))))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X50),X36)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_672_inc__induct)). 0.56/0.82 fof(fact_228_zero__induct__lemma, axiom, ![X34, X22, X35]:(hBOOL(hAPP_nat_bool(X22,X35))=>(hBOOL(hAPP_nat_bool(X22,hAPP_nat_nat(minus_minus_nat(X35),X34)))<=![X47]:(hBOOL(hAPP_nat_bool(X22,X47))<=hBOOL(hAPP_nat_bool(X22,hAPP_nat_nat(suc,X47)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_228_zero__induct__lemma)). 0.56/0.82 fof(fact_176_finite__subset__image, axiom, ![X9, X7, X12]:((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X12),image_26036933t_bool(X9,X7)))=>?[X19]:((image_26036933t_bool(X9,X19)=X12&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X19)))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X19),X7))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_176_finite__subset__image)). 0.56/0.82 fof(fact_170_finite__subset__image, axiom, ![X9, X7, X12]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12))=>(?[X19]:(((is_fun_pname_bool(X19)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X7)))&image_2129980159t_bool(X9,X19)=X12)&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)))<=hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X12),image_2129980159t_bool(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_170_finite__subset__image)). 0.56/0.82 fof(fact_609_diff__Suc__diff__eq1, axiom, ![X4, X27, X24]:(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X4),X27)),hAPP_nat_nat(suc,X24))=hAPP_nat_nat(minus_minus_nat(X4),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X24),X27)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X24))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_609_diff__Suc__diff__eq1)). 0.56/0.82 fof(fact_669_less__diff__iff, axiom, ![X21, X35, X20]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X35),X21))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X20),X35)),hAPP_nat_nat(minus_minus_nat(X21),X35)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21))))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X35),X20))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_669_less__diff__iff)). 0.56/0.82 fof(fact_124_le__diff__iff, axiom, ![X21, X35, X20]:(((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X20),X35)),hAPP_nat_nat(minus_minus_nat(X21),X35)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X35),X21)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X35),X20))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_124_le__diff__iff)). 0.56/0.82 fof(fact_603_le__add__diff, axiom, ![X4, X27, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5),X4)),X27)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_603_le__add__diff)). 0.56/0.82 fof(fact_620_add__less__mono1, axiom, ![X27, X11, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X24))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X11),X27)),hAPP_nat_nat(plus_plus_nat(X24),X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_620_add__less__mono1)). 0.56/0.82 fof(fact_623_nat__add__left__cancel__less, axiom, ![X35, X20, X21]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X35),X20)),hAPP_nat_nat(plus_plus_nat(X35),X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_623_nat__add__left__cancel__less)). 0.56/0.82 fof(fact_590_add__le__mono1, axiom, ![X27, X11, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X11),X27)),hAPP_nat_nat(plus_plus_nat(X24),X27)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X11),X24))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_590_add__le__mono1)). 0.56/0.82 fof(fact_629_less__trans__Suc, axiom, ![X27, X11, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X24))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X27))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X11)),X27)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_629_less__trans__Suc)). 0.56/0.82 fof(fact_587_nat__add__left__cancel__le, axiom, ![X35, X20, X21]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X35),X20)),hAPP_nat_nat(plus_plus_nat(X35),X21)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_587_nat__add__left__cancel__le)). 0.56/0.82 fof(fact_128_diff__le__mono, axiom, ![X3, X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X4),X3)),hAPP_nat_nat(minus_minus_nat(X5),X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_128_diff__le__mono)). 0.56/0.82 fof(fact_165_finite__subset__image, axiom, ![X9, X7, X12]:(((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_1854862208_pname(X9,X7)))=>?[X19]:(((X12=image_1854862208_pname(X9,X19)&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X19)))&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X19),X7)))&is_fun949378684l_bool(X19)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12)))<=is_fun_pname_bool(X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_165_finite__subset__image)). 0.56/0.82 fof(fact_163_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_pname_bool(X12)=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))=>(?[X19]:((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X19),X7))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X19)))&X12=image_1921560913_pname(X9,X19))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_1921560913_pname(X9,X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_163_finite__subset__image)). 0.56/0.82 fof(fact_129_diff__le__mono2, axiom, ![X3, X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X3),X5)),hAPP_nat_nat(minus_minus_nat(X3),X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_129_diff__le__mono2)). 0.56/0.82 fof(fact_207_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7)))=>(?[X32]:((is_a(X32)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7)))&~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X7)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fequal_fun_nat_bool,X9)),hAPP_a_fun_nat_bool(X9,X32))))))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_207_pigeonhole__infinite)). 0.56/0.82 fof(fact_208_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7)))=>(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X9,X7)))=>?[X32]:((~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X7)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fequal533582459e_bool,X9)),hAPP_a93125764e_bool(X9,X32)))))))&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7)))&is_a(X32)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_208_pigeonhole__infinite)). 0.56/0.82 fof(fact_194_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X9,X7)))=>?[X32]:((~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X7)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fequal_nat,X9)),hAPP_a_nat(X9,X32)))))))&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7)))&is_a(X32)))<=~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_194_pigeonhole__infinite)). 0.56/0.82 fof(fact_188_pigeonhole__infinite, axiom, ![X9, X7]:(~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7)))=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X9,X7)))=>?[X32]:((is_a(X32)&~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X7)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fequal_pname,X9)),hAPP_a_pname(X9,X32))))))))&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_188_pigeonhole__infinite)). 0.56/0.82 fof(fact_164_finite__subset__image, axiom, ![X9, X7, X12]:(((?[X19]:(((X12=image_1283814551_pname(X9,X19)&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)))&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X7)))&is_fun1661590463l_bool(X19))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_1283814551_pname(X9,X7))))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12)))<=is_fun_pname_bool(X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_164_finite__subset__image)). 0.56/0.82 fof(fact_179_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_pname_bool(X12)=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))=>(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_nat_pname(X9,X7)))=>?[X19]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X19),X7))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X19)))&X12=image_nat_pname(X9,X19))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_179_finite__subset__image)). 0.56/0.82 fof(fact_173_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_pname_bool(X12)=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))=>(?[X19]:(((is_fun_pname_bool(X19)&image_pname_pname(X9,X19)=X12)&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)))&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X7)))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_pname_pname(X9,X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_173_finite__subset__image)). 0.56/0.82 fof(fact_596_add__diff__assoc2, axiom, ![X11, X27, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X24))=>hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X24),X11)),X27)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X24),X27)),X11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_596_add__diff__assoc2)). 0.56/0.82 fof(fact_44_card__mono, axiom, ![X7, X12]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12))=>(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X7),X12))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X7)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X12))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_44_card__mono)). 0.56/0.82 fof(fact_47_card__mono, axiom, ![X7, X12]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X7)),hAPP_f22106695ol_nat(finite_card_nat,X12)))<=hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_47_card__mono)). 0.56/0.82 fof(fact_45_card__mono, axiom, ![X7, X12]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X7)),hAPP_f921600141ol_nat(finite_card_pname,X12)))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_45_card__mono)). 0.56/0.82 fof(fact_42_card__mono, axiom, ![X7, X12]:((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X7),X12))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X7)),hAPP_f696928925ol_nat(finite346522414t_bool,X12))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_42_card__mono)). 0.56/0.82 fof(fact_43_card__mono, axiom, ![X7, X12]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))=>(hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X7),X12))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X7)),hAPP_f55526627ol_nat(finite1340463720e_bool,X12))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_43_card__mono)). 0.56/0.82 fof(fact_169_finite__subset__image, axiom, ![X9, X7, X12]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))=>(?[X19]:(((is_fun949378684l_bool(X19)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X19),X7)))&image_fun_a_bool_nat(X9,X19)=X12)&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X19)))<=hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_fun_a_bool_nat(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_169_finite__subset__image)). 0.56/0.82 fof(fact_167_finite__subset__image, axiom, ![X9, X7, X12]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_496248727ol_nat(X9,X7)))=>?[X19]:((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X19),X7))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X19)))&X12=image_496248727ol_nat(X9,X19)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_167_finite__subset__image)). 0.56/0.82 fof(fact_168_finite__subset__image, axiom, ![X9, X7, X12]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_1551609309ol_nat(X9,X7)))=>?[X19]:(((hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X7))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)))&X12=image_1551609309ol_nat(X9,X19))&is_fun1661590463l_bool(X19)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_168_finite__subset__image)). 0.56/0.82 fof(fact_180_finite__subset__image, axiom, ![X9, X7, X12]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_nat_nat(X9,X7)))=>?[X19]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X19))&image_nat_nat(X9,X19)=X12)&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X19),X7))))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_180_finite__subset__image)). 0.56/0.82 fof(fact_36_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(X9,X7))),hAPP_f696928925ol_nat(finite346522414t_bool,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_36_card__image__le)). 0.56/0.82 fof(fact_38_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(X9,X7))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X7)))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_38_card__image__le)). 0.56/0.82 fof(fact_34_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(X9,X7))),hAPP_f921600141ol_nat(finite_card_pname,X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_34_card__image__le)). 0.56/0.82 fof(fact_174_finite__subset__image, axiom, ![X9, X7, X12]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_pname_nat(X9,X7)))=>?[X19]:(((is_fun_pname_bool(X19)&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X7)))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)))&image_pname_nat(X9,X19)=X12))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_174_finite__subset__image)). 0.56/0.82 fof(fact_37_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(X9,X7))),hAPP_f55526627ol_nat(finite1340463720e_bool,X7)))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_37_card__image__le)). 0.56/0.82 fof(fact_160_finite__subset__image, axiom, ![X9, X7, X12]:(((hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X12),image_819518260e_bool(X9,X7)))=>?[X19]:(((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X19))&image_819518260e_bool(X9,X19)=X12)&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X19),X7)))&is_fun_a_bool(X19)))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12)))<=is_fun1661590463l_bool(X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_160_finite__subset__image)). 0.56/0.82 fof(fact_161_finite__subset__image, axiom, ![X9, X7, X12]:((hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12))=>(?[X19]:(((is_fun_a_bool(X19)&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X19)))&X12=image_a_fun_a_bool(X9,X19))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X19),X7)))<=hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X12),image_a_fun_a_bool(X9,X7)))))<=is_fun949378684l_bool(X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_161_finite__subset__image)). 0.56/0.82 fof(fact_29_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(X9,X7))),hAPP_f921600141ol_nat(finite_card_pname,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_29_card__image__le)). 0.56/0.82 fof(fact_40_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(X9,X7))),hAPP_f22106695ol_nat(finite_card_nat,X7)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_40_card__image__le)). 0.56/0.82 fof(fact_352_imageE, axiom, ![X14, X9, X7]:(is_pname(X14)=>(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X14),image_nat_pname(X9,X7)))=>~(![X32]:(X14=hAPP_nat_pname(X9,X32)=>~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_352_imageE)). 0.56/0.82 fof(fact_157_finite__subset__image, axiom, ![X9, X7, X12]:((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_fun_a_bool_a(X9,X7)))=>?[X19]:(((is_fun949378684l_bool(X19)&hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X19),X7)))&image_fun_a_bool_a(X9,X19)=X12)&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X19)))))<=is_fun_a_bool(X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_157_finite__subset__image)). 0.56/0.82 fof(fact_155_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_a_bool(X12)=>(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))=>(?[X19]:((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X19),X7))&X12=image_fun_nat_bool_a(X9,X19))&hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X19)))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_fun_nat_bool_a(X9,X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_155_finite__subset__image)). 0.56/0.82 fof(fact_33_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(X9,X7))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_33_card__image__le)). 0.56/0.82 fof(fact_32_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(X9,X7))),hAPP_f55526627ol_nat(finite1340463720e_bool,X7)))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_32_card__image__le)). 0.56/0.82 fof(fact_605_diff__diff__right, axiom, ![X11, X27, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X24))=>hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X11),X27)),X24)=hAPP_nat_nat(minus_minus_nat(X11),hAPP_nat_nat(minus_minus_nat(X24),X27))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_605_diff__diff__right)). 0.56/0.82 fof(fact_156_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_a_bool(X12)=>((?[X19]:(((is_fun1661590463l_bool(X19)&hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X19),X7)))&image_876012084bool_a(X9,X19)=X12)&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X19)))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_876012084bool_a(X9,X7))))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_156_finite__subset__image)). 0.56/0.82 fof(fact_175_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_a_bool(X12)=>(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_nat_a(X9,X7)))=>?[X19]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X19),X7))&hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X19)))&X12=image_nat_a(X9,X19))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_175_finite__subset__image)). 0.56/0.82 fof(fact_181_finite__subset__image, axiom, ![X9, X7, X12]:(((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_pname_a(X9,X7)))=>?[X19]:(((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X19),X7))&X12=image_pname_a(X9,X19))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X19)))&is_fun_pname_bool(X19)))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12)))<=is_fun_a_bool(X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_181_finite__subset__image)). 0.56/0.82 fof(fact_31_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(X9,X7))),hAPP_f696928925ol_nat(finite346522414t_bool,X7)))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_31_card__image__le)). 0.56/0.82 fof(fact_667_less__diff__conv, axiom, ![X34, X36, X35]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X34),hAPP_nat_nat(minus_minus_nat(X36),X35)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X34),X35)),X36))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_667_less__diff__conv)). 0.56/0.82 fof(fact_604_le__diff__conv, axiom, ![X36, X35, X34]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X36),hAPP_nat_nat(plus_plus_nat(X34),X35)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X36),X35)),X34))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_604_le__diff__conv)). 0.56/0.82 fof(fact_630_Suc__lessI, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X4)),X5))<=hAPP_nat_nat(suc,X4)!=X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_630_Suc__lessI)). 0.56/0.82 fof(fact_159_finite__subset__image, axiom, ![X9, X7, X12]:((?[X19]:(((is_fun_a_bool(X19)&X12=image_a_fun_nat_bool(X9,X19))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X19)))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X19),X7)))<=hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X12),image_a_fun_nat_bool(X9,X7))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_159_finite__subset__image)). 0.56/0.82 fof(fact_278_in__mono, axiom, ![X8, X7, X12]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))=>(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X12))<=hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_278_in__mono)). 0.56/0.82 fof(fact_597_diff__add__assoc, axiom, ![X11, X27, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X27),X24))=>hAPP_nat_nat(plus_plus_nat(X11),hAPP_nat_nat(minus_minus_nat(X24),X27))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X11),X24)),X27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_597_diff__add__assoc)). 0.56/0.82 fof(fact_501_xt1_I6_J, axiom, ![X18, X6, X8]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X6),X8))=>(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X18),X6))=>hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X18),X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_501_xt1_I6_J)). 0.56/0.82 fof(fact_360_image__subsetI, axiom, ![X9, X12, X7]:(![X32]:(is_pname(X32)=>(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7))=>hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X9,X32)),X12))))=>hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X9,X7)),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_360_image__subsetI)). 0.56/0.82 fof(fact_361_image__subsetI, axiom, ![X9, X12, X7]:(![X32]:(is_pname(X32)=>(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7))=>hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(X9,X32)),X12))))=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X9,X7)),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_361_image__subsetI)). 0.56/0.82 fof(fact_500_xt1_I6_J, axiom, ![X18, X6, X8]:((hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X18),X8))<=hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X18),X6)))<=hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_500_xt1_I6_J)). 0.56/0.82 fof(fact_364_image__subsetI, axiom, ![X9, X12, X7]:(![X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))=>hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X9,X32)),X12)))=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X9,X7)),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_364_image__subsetI)). 0.56/0.82 fof(fact_35_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(X9,X7))),hAPP_fun_a_bool_nat(finite_card_a,X7)))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_35_card__image__le)). 0.56/0.82 fof(fact_220_subsetD, axiom, ![X31, X7, X12]:((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X7))=>hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),X12)))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_220_subsetD)). 0.56/0.82 fof(fact_502_xt1_I6_J, axiom, ![X18, X6, X8]:(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X6),X8))=>(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X6))=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X18),X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_502_xt1_I6_J)). 0.56/0.82 fof(fact_39_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(X9,X7))),hAPP_fun_a_bool_nat(finite_card_a,X7)))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_39_card__image__le)). 0.56/0.82 fof(fact_30_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(X9,X7))),hAPP_fun_a_bool_nat(finite_card_a,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_30_card__image__le)). 0.56/0.82 fof(fact_503_xt1_I6_J, axiom, ![X67, X68, X69]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X68),X69))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X67),X68))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X67),X69)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_503_xt1_I6_J)). 0.56/0.82 fof(fact_353_imageE, axiom, ![X14, X9, X7]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X14),image_nat_a(X9,X7)))=>~(![X32]:(X14=hAPP_nat_a(X9,X32)=>~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))))))<=is_a(X14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_353_imageE)). 0.56/0.82 fof(fact_41_card__image__le, axiom, ![X9, X7]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(X9,X7))),hAPP_f921600141ol_nat(finite_card_pname,X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_41_card__image__le)). 0.56/0.82 fof(fact_303_imageI, axiom, ![X9, X8, X7]:(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))=>hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X9,X8)),image_pname_nat(X9,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_303_imageI)). 0.56/0.82 fof(fact_354_imageE, axiom, ![X14, X9, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X14),image_pname_nat(X9,X7)))=>~(![X32]:(is_pname(X32)=>(X14=hAPP_pname_nat(X9,X32)=>~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_354_imageE)). 0.56/0.82 fof(fact_380_le__funE, axiom, ![X8, X9, X10]:(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X10))=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X9,X8)),hAPP_pname_bool(X10,X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_380_le__funE)). 0.56/0.82 fof(fact_162_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_pname_bool(X12)=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))=>(?[X19]:(((image_a_pname(X9,X19)=X12&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X19)))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X19),X7)))&is_fun_a_bool(X19))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_a_pname(X9,X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_162_finite__subset__image)). 0.56/0.82 fof(fact_46_card__mono, axiom, ![X7, X12]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X7)),hAPP_fun_a_bool_nat(finite_card_a,X12))))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_46_card__mono)). 0.56/0.82 fof(fact_209_pigeonhole__infinite, axiom, ![X9, X7]:((hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X9,X7)))=>?[X32]:((is_a(X32)&~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X7)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fequal_fun_a_bool,X9)),hAPP_a_fun_a_bool(X9,X32))))))))&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7))))<=~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_209_pigeonhole__infinite)). 0.56/0.82 fof(fact_381_le__funE, axiom, ![X8, X9, X10]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X10))=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X9,X8)),hAPP_nat_bool(X10,X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_381_le__funE)). 0.56/0.82 fof(fact_677_lessE, axiom, ![X11, X27]:((~(![X51]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X51))=>hAPP_nat_nat(suc,X51)!=X27))<=X27!=hAPP_nat_nat(suc,X11))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X27))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_677_lessE)). 0.56/0.82 fof(fact_344_subset__image__iff, axiom, ![X12, X9, X7]:(is_fun_a_bool(X12)=>(?[X33]:(X12=image_nat_a(X9,X33)&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X33),X7)))<=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_nat_a(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_344_subset__image__iff)). 0.56/0.82 fof(fact_302_image__iff, axiom, ![X18, X9, X7]:(is_a(X18)=>(?[X32]:((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7))&X18=hAPP_pname_a(X9,X32))&is_pname(X32))<=>hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X18),image_pname_a(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_302_image__iff)). 0.56/0.82 fof(fact_356_imageE, axiom, ![X14, X9, X7]:(is_a(X14)=>(~(![X32]:(is_pname(X32)=>(~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))<=hAPP_pname_a(X9,X32)=X14)))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X14),image_pname_a(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_356_imageE)). 0.56/0.82 fof(fact_305_imageI, axiom, ![X9, X8, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7))=>hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X9,X8)),image_nat_pname(X9,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_305_imageI)). 0.56/0.82 fof(fact_94_finite__Collect__disjI, axiom, ![X22, X23]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X22),X23))))<=>(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X23)))&hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X22))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_94_finite__Collect__disjI)). 0.56/0.82 fof(fact_93_finite__Collect__disjI, axiom, ![X22, X23]:((hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X23)))&hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X22))))<=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X22),X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_93_finite__Collect__disjI)). 0.56/0.82 fof(fact_95_finite__Collect__disjI, axiom, ![X22, X23]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X22),X23))))<=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X23)))&hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X22))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_95_finite__Collect__disjI)). 0.56/0.82 fof(fact_613_Suc__mono, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X4)),hAPP_nat_nat(suc,X5)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_613_Suc__mono)). 0.56/0.82 fof(fact_50_card__seteq, axiom, ![X7, X12]:((((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X12)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X7)))=>X7=X12)<=hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X7),X12)))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12)))<=(is_fun949378684l_bool(X7)&is_fun949378684l_bool(X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_50_card__seteq)). 0.56/0.82 fof(fact_52_card__seteq, axiom, ![X7, X12]:((is_fun_a_bool(X12)&is_fun_a_bool(X7))=>(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X12)),hAPP_fun_a_bool_nat(finite_card_a,X7)))=>X12=X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_52_card__seteq)). 0.56/0.82 fof(fact_49_card__seteq, axiom, ![X7, X12]:((is_fun1661590463l_bool(X12)&is_fun1661590463l_bool(X7))=>(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))=>(hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X7),X12))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X12)),hAPP_f55526627ol_nat(finite1340463720e_bool,X7)))=>X12=X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_49_card__seteq)). 0.56/0.82 fof(fact_206_pigeonhole__infinite, axiom, ![X9, X7]:((?[X32]:((is_a(X32)&hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7)))&~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X7)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fequal_a,X9)),hAPP_a_a(X9,X32))))))))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X9,X7))))<=~(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_206_pigeonhole__infinite)). 0.56/0.82 fof(fact_51_card__seteq, axiom, ![X7, X12]:((((X7=X12<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X12)),hAPP_f921600141ol_nat(finite_card_pname,X7))))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12)))<=(is_fun_pname_bool(X12)&is_fun_pname_bool(X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_51_card__seteq)). 0.56/0.82 fof(fact_375_le__fun__def, axiom, ![X9, X10]:(![X32]:hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X9,X32)),hAPP_nat_bool(X10,X32)))<=>hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X9),X10))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_375_le__fun__def)). 0.56/0.82 fof(fact_374_le__fun__def, axiom, ![X9, X10]:(![X32]:(is_pname(X32)=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X9,X32)),hAPP_pname_bool(X10,X32))))<=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X9),X10))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_374_le__fun__def)). 0.56/0.82 fof(fact_618_less__add__eq__less, axiom, ![X4, X5, X27, X3]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X27),X3))=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))<=hAPP_nat_nat(plus_plus_nat(X27),X5)=hAPP_nat_nat(plus_plus_nat(X4),X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_618_less__add__eq__less)). 0.56/0.82 fof(fact_347_subset__image__iff, axiom, ![X12, X9, X7]:(is_fun_a_bool(X12)=>(?[X33]:((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X33),X7))&X12=image_pname_a(X9,X33))&is_fun_pname_bool(X33))<=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_pname_a(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_347_subset__image__iff)). 0.56/0.82 fof(fact_365_image__subsetI, axiom, ![X9, X12, X7]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X9,X7)),X12))<=![X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X9,X32)),X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_365_image__subsetI)). 0.56/0.82 fof(fact_362_image__subsetI, axiom, ![X9, X12, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X9,X7)),X12))<=![X32]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X9,X32)),X12))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7)))<=is_a(X32))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_362_image__subsetI)). 0.56/0.82 fof(fact_158_finite__subset__image, axiom, ![X9, X7, X12]:(is_fun_a_bool(X12)=>((?[X19]:(((image_a_a(X9,X19)=X12&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X19)))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X19),X7)))&is_fun_a_bool(X19))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_a_a(X9,X7))))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_158_finite__subset__image)). 0.56/0.82 fof(fact_363_image__subsetI, axiom, ![X9, X12, X7]:(![X32]:(is_a(X32)=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7))=>hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(X9,X32)),X12))))=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X9,X7)),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_363_image__subsetI)). 0.56/0.82 fof(fact_166_finite__subset__image, axiom, ![X9, X7, X12]:((?[X19]:(((is_fun_a_bool(X19)&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X19)))&X12=image_a_nat(X9,X19))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X19),X7)))<=hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_a_nat(X9,X7))))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_166_finite__subset__image)). 0.56/0.82 fof(fact_304_imageI, axiom, ![X9, X8, X7]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7))=>hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X9,X8)),image_a_nat(X9,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_304_imageI)). 0.56/0.82 fof(fact_366_image__subsetI, axiom, ![X9, X12, X7]:(![X32]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X9,X32)),X12))<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))<=is_pname(X32))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X9,X7)),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_366_image__subsetI)). 0.56/0.82 fof(fact_376_le__fun__def, axiom, ![X9, X10]:(![X32]:(is_a(X32)=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X9,X32)),hAPP_a_bool(X10,X32))))<=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X9),X10))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_376_le__fun__def)). 0.56/0.82 fof(fact_643_less__imp__diff__less, axiom, ![X5, X24, X27]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X24),X5)),X27))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X24),X27))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_643_less__imp__diff__less)). 0.56/0.82 fof(fact_119_le__Suc__eq, axiom, ![X20, X21]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),hAPP_nat_nat(suc,X21)))<=>(X20=hAPP_nat_nat(suc,X21)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_119_le__Suc__eq)). 0.56/0.82 fof(fact_622_trans__less__add1, axiom, ![X4, X11, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X24))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),hAPP_nat_nat(plus_plus_nat(X24),X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_622_trans__less__add1)). 0.56/0.82 fof(fact_78_Suc__diff__le, axiom, ![X5, X4]:(hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X4)),X5)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X4),X5))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_78_Suc__diff__le)). 0.56/0.82 fof(fact_349_image__mono, axiom, ![X9, X7, X12]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X9,X7)),image_a_nat(X9,X12)))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_349_image__mono)). 0.56/0.82 fof(fact_379_le__funD, axiom, ![X8, X9, X10]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X9),X10))=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X9,X8)),hAPP_a_bool(X10,X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_379_le__funD)). 0.56/0.82 fof(fact_348_image__mono, axiom, ![X9, X7, X12]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12))=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X9,X7)),image_a_pname(X9,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_348_image__mono)). 0.56/0.82 fof(fact_616_termination__basic__simps_I2_J, axiom, ![X46, X45, X52]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X45),hAPP_nat_nat(plus_plus_nat(X46),X52)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X45),X52))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_616_termination__basic__simps_I2_J)). 0.56/0.82 fof(fact_588_trans__le__add1, axiom, ![X4, X11, X24]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X11),hAPP_nat_nat(plus_plus_nat(X24),X4)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X11),X24))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_588_trans__le__add1)). 0.56/0.82 fof(fact_520_xt1_I4_J, axiom, ![X31, X14, X13]:(((hBOOL(X31)<=>hBOOL(X14))=>hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X31),X13)))<=hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X14),X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_520_xt1_I4_J)). 0.56/0.82 fof(fact_530_xt1_I3_J, axiom, ![X31, X14, X13]:((hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X31),X13))<=hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X31),X14)))<=(hBOOL(X14)<=>hBOOL(X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_530_xt1_I3_J)). 0.56/0.82 fof(fact_611_termination__basic__simps_I4_J, axiom, ![X46, X45, X52]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X45),X52))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X45),hAPP_nat_nat(plus_plus_nat(X46),X52)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_611_termination__basic__simps_I4_J)). 0.56/0.82 fof(fact_657_less__iff__Suc__add, axiom, ![X20, X21]:(?[X66]:X21=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X20),X66))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_657_less__iff__Suc__add)). 0.56/0.82 fof(fact_673_less__imp__Suc__add, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))=>?[X66]:X5=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X4),X66))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_673_less__imp__Suc__add)). 0.56/0.82 fof(fact_676_Suc__lessE, axiom, ![X11, X27]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X11)),X27))=>~(![X51]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X51))=>X27!=hAPP_nat_nat(suc,X51)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_676_Suc__lessE)). 0.56/0.82 fof(fact_75_finite__Collect__conjI, axiom, ![X23, X22]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X22),X23))))<=(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X23)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X22))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_75_finite__Collect__conjI)). 0.56/0.82 fof(fact_647_linorder__neqE__nat, axiom, ![X45, X46]:(X46!=X45=>(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X46),X45))<=~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X45),X46))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_647_linorder__neqE__nat)). 0.56/0.82 fof(fact_74_finite__Collect__conjI, axiom, ![X23, X22]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X22),X23))))<=(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X23)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X22))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_74_finite__Collect__conjI)). 0.56/0.82 fof(fact_76_finite__Collect__conjI, axiom, ![X23, X22]:((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X22)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X23))))=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X22),X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_76_finite__Collect__conjI)). 0.56/0.82 fof(fact_357_subsetI, axiom, ![X12, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))<=![X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))=>hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_357_subsetI)). 0.56/0.82 fof(fact_345_subset__image__iff, axiom, ![X12, X9, X7]:(is_fun_pname_bool(X12)=>(?[X33]:((image_a_pname(X9,X33)=X12&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X33),X7)))&is_fun_a_bool(X33))<=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_a_pname(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_345_subset__image__iff)). 0.56/0.82 fof(fact_358_subsetI, axiom, ![X12, X7]:(![X32]:(is_pname(X32)=>(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X12))<=hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7))))=>hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_358_subsetI)). 0.56/0.82 fof(fact_636_not__less__eq, axiom, ![X20, X21]:(~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X21),hAPP_nat_nat(suc,X20)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_636_not__less__eq)). 0.56/0.82 fof(fact_652_finite__nat__set__iff__bounded, axiom, ![X64]:(?[X65]:![X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X64))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X65)))<=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X64))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_652_finite__nat__set__iff__bounded)). 0.56/0.82 fof(fact_372_finite__nat__set__iff__bounded__le, axiom, ![X64]:(?[X65]:![X32]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X32),X65))<=hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X64)))<=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X64))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_372_finite__nat__set__iff__bounded__le)). 0.56/0.82 fof(fact_48_card__seteq, axiom, ![X7, X12]:((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X7),X12))=>(X12=X7<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X12)),hAPP_f696928925ol_nat(finite346522414t_bool,X7)))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_48_card__seteq)). 0.56/0.82 fof(fact_53_card__seteq, axiom, ![X7, X12]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))=>(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))=>(X12=X7<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X12)),hAPP_f22106695ol_nat(finite_card_nat,X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_53_card__seteq)). 0.56/0.82 fof(fact_306_imageI, axiom, ![X9, X8, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X9,X8)),image_nat_a(X9,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_306_imageI)). 0.56/0.82 fof(fact_555_linorder__linear, axiom, ![X25, X26]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X25),X26))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X26),X25))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_555_linorder__linear)). 0.56/0.82 fof(fact_127_diff__diff__cancel, axiom, ![X11, X5]:(X11=hAPP_nat_nat(minus_minus_nat(X5),hAPP_nat_nat(minus_minus_nat(X5),X11))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X11),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_127_diff__diff__cancel)). 0.56/0.82 fof(fact_602_le__add__diff__inverse, axiom, ![X5, X4]:(X4=hAPP_nat_nat(plus_plus_nat(X5),hAPP_nat_nat(minus_minus_nat(X4),X5))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_602_le__add__diff__inverse)). 0.56/0.82 fof(fact_126_eq__diff__iff, axiom, ![X21, X35, X20]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X35),X20))=>((X20=X21<=>hAPP_nat_nat(minus_minus_nat(X21),X35)=hAPP_nat_nat(minus_minus_nat(X20),X35))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X35),X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_126_eq__diff__iff)). 0.56/0.82 fof(fact_355_imageE, axiom, ![X14, X9, X7]:(~(![X32]:(is_a(X32)=>(X14=hAPP_a_nat(X9,X32)=>~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7))))))<=hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X14),image_a_nat(X9,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_355_imageE)). 0.56/0.82 fof(fact_666_add__diff__inverse, axiom, ![X4, X5]:(~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5)))=>hAPP_nat_nat(plus_plus_nat(X5),hAPP_nat_nat(minus_minus_nat(X4),X5))=X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_666_add__diff__inverse)). 0.56/0.82 fof(fact_631_less__SucI, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),hAPP_nat_nat(suc,X5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_631_less__SucI)). 0.56/0.82 fof(fact_661_le__imp__less__Suc, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),hAPP_nat_nat(suc,X5)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_661_le__imp__less__Suc)). 0.56/0.82 fof(fact_117_le__SucI, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),hAPP_nat_nat(suc,X5)))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_117_le__SucI)). 0.56/0.82 fof(fact_346_subset__image__iff, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_a_nat(X9,X7)))<=>?[X33]:((image_a_nat(X9,X33)=X12&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X33),X7)))&is_fun_a_bool(X33))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_346_subset__image__iff)). 0.56/0.82 fof(fact_635_less__Suc__eq, axiom, ![X20, X21]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21))|X21=X20)<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),hAPP_nat_nat(suc,X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_635_less__Suc__eq)). 0.56/0.82 fof(fact_552_order__eq__iff, axiom, ![X8, X6]:((is_fun_pname_bool(X8)&is_fun_pname_bool(X6))=>((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X6),X8))&hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X8),X6)))<=>X8=X6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_552_order__eq__iff)). 0.56/0.82 fof(fact_674_bounded__nat__set__is__finite, axiom, ![X21, X64]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X64))<=![X32]:(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X64))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X32),X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_674_bounded__nat__set__is__finite)). 0.56/0.82 fof(fact_641_nat__less__le, axiom, ![X20, X21]:((X20!=X21&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_641_nat__less__le)). 0.56/0.82 fof(fact_350_image__mono, axiom, ![X9, X7, X12]:(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X9,X7)),image_nat_a(X9,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_350_image__mono)). 0.56/0.82 fof(fact_634_Suc__less__eq, axiom, ![X20, X21]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),X21))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X20)),hAPP_nat_nat(suc,X21)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_634_Suc__less__eq)). 0.56/0.82 fof(fact_586_le__iff__add, axiom, ![X20, X21]:(?[X66]:hAPP_nat_nat(plus_plus_nat(X20),X66)=X21<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_586_le__iff__add)). 0.56/0.82 fof(fact_3_finite__Collect__subsets, axiom, ![X7]:(hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),X7))))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3_finite__Collect__subsets)). 0.56/0.82 fof(fact_1_finite__Collect__subsets, axiom, ![X7]:(hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),X7))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_finite__Collect__subsets)). 0.56/0.82 fof(fact_2_finite__Collect__subsets, axiom, ![X7]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))=>hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2_finite__Collect__subsets)). 0.56/0.82 fof(fact_5_finite__Collect__subsets, axiom, ![X7]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5_finite__Collect__subsets)). 0.56/0.82 fof(fact_417_all__not__in__conv, axiom, ![X7]:((![X32]:(~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7)))<=is_pname(X32))<=>bot_bo844097828e_bool=X7)<=is_fun_pname_bool(X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_417_all__not__in__conv)). 0.56/0.82 fof(fact_617_add__lessD1, axiom, ![X11, X24, X27]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X11),X24)),X27))=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),X27))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_617_add__lessD1)). 0.56/0.82 fof(fact_414_ex__in__conv, axiom, ![X7]:((X7!=bot_bo844097828e_bool<=>?[X32]:(is_pname(X32)&hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X32),X7))))<=is_fun_pname_bool(X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_414_ex__in__conv)). 0.56/0.82 fof(fact_593_add__leD1, axiom, ![X4, X27, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X4),X27)),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_593_add__leD1)). 0.56/0.82 fof(fact_143_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))=>(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X12),image_nat_fun_a_bool(X9,X7)))=>hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_143_finite__surj)). 0.56/0.82 fof(fact_627_Suc__lessD, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X4)),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_627_Suc__lessD)). 0.56/0.82 fof(fact_137_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))=>(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X12),image_112932426a_bool(X9,X7)))=>hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_137_finite__surj)). 0.56/0.82 fof(fact_141_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))=>(hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X12),image_26036933t_bool(X9,X7)))=>hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_141_finite__surj)). 0.56/0.82 fof(fact_135_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12))<=hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X12),image_2129980159t_bool(X9,X7))))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_135_finite__surj)). 0.56/0.82 fof(fact_142_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))=>(hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X12),image_1655916159e_bool(X9,X7)))=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_142_finite__surj)). 0.56/0.82 fof(fact_136_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))=>(hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X12),image_47868345e_bool(X9,X7)))=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_136_finite__surj)). 0.56/0.82 fof(fact_153_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))=>(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))<=hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_fun_a_bool_nat(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_153_finite__surj)). 0.56/0.82 fof(fact_151_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_496248727ol_nat(X9,X7)))=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12)))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_151_finite__surj)). 0.56/0.82 fof(fact_152_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))<=hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_1551609309ol_nat(X9,X7))))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_152_finite__surj)). 0.56/0.82 fof(fact_145_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))=>(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_nat_nat(X9,X7)))=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_145_finite__surj)). 0.56/0.82 fof(fact_139_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))=>(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))<=hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_pname_nat(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_139_finite__surj)). 0.56/0.82 fof(fact_149_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))=>(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_1854862208_pname(X9,X7)))=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_149_finite__surj)). 0.56/0.82 fof(fact_147_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_1921560913_pname(X9,X7))))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_147_finite__surj)). 0.56/0.82 fof(fact_148_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_1283814551_pname(X9,X7))))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_148_finite__surj)). 0.56/0.82 fof(fact_144_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))=>(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_nat_pname(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_144_finite__surj)). 0.56/0.82 fof(fact_138_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_pname_pname(X9,X7))))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_138_finite__surj)). 0.56/0.82 fof(fact_659_less__Suc__eq__le, axiom, ![X20, X21]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X20),hAPP_nat_nat(suc,X21)))<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_659_less__Suc__eq__le)). 0.56/0.82 fof(fact_150_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),image_a_nat(X9,X7)))=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12)))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_150_finite__surj)). 0.56/0.82 fof(fact_146_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X12),image_a_pname(X9,X7))))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_146_finite__surj)). 0.56/0.82 fof(fact_505_xt1_I5_J, axiom, ![X6, X8]:(((hBOOL(X6)<=>hBOOL(X8))<=hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X6)))<=hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X6),X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_505_xt1_I5_J)). 0.56/0.82 fof(fact_307_imageI, axiom, ![X9, X8, X7]:(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X9,X8)),image_pname_a(X9,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_307_imageI)). 0.56/0.82 fof(fact_554_order__eq__iff, axiom, ![X8, X6]:((is_fun_a_bool(X8)&is_fun_a_bool(X6))=>((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X6),X8))&hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X8),X6)))<=>X8=X6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_554_order__eq__iff)). 0.56/0.82 fof(fact_286_set__mp, axiom, ![X8, X7, X12]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12))=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X12))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_286_set__mp)). 0.56/0.82 fof(fact_663_le__less__Suc__eq, axiom, ![X20, X21]:((X20=X21<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X21),hAPP_nat_nat(suc,X20))))<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_663_le__less__Suc__eq)). 0.56/0.82 fof(fact_359_subsetI, axiom, ![X12, X7]:(![X32]:(is_a(X32)=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X12))))=>hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_359_subsetI)). 0.56/0.82 fof(fact_351_image__mono, axiom, ![X9, X7, X12]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X9,X7)),image_pname_a(X9,X12)))<=hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_351_image__mono)). 0.56/0.82 fof(fact_416_all__not__in__conv, axiom, ![X7]:(bot_bot_fun_nat_bool=X7<=>![X32]:~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_416_all__not__in__conv)). 0.56/0.82 fof(fact_413_ex__in__conv, axiom, ![X7]:(?[X32]:hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X32),X7))<=>X7!=bot_bot_fun_nat_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_413_ex__in__conv)). 0.56/0.82 fof(fact_270_set__eq__subset, axiom, ![X7, X12]:(X7=X12<=>(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X12),X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_270_set__eq__subset)). 0.56/0.82 fof(fact_545_order__eq__refl, axiom, ![X6, X8]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X6))<=(hBOOL(X6)<=>hBOOL(X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_545_order__eq__refl)). 0.56/0.82 fof(fact_415_ex__in__conv, axiom, ![X7]:(is_fun_a_bool(X7)=>(X7!=bot_bot_fun_a_bool<=>?[X32]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7))&is_a(X32)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_415_ex__in__conv)). 0.56/0.82 fof(fact_418_all__not__in__conv, axiom, ![X7]:((![X32]:(~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X32),X7)))<=is_a(X32))<=>X7=bot_bot_fun_a_bool)<=is_fun_a_bool(X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_418_all__not__in__conv)). 0.56/0.82 fof(fact_85_le__antisym, axiom, ![X4, X5]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X4),X5))=>(X5=X4<=hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_85_le__antisym)). 0.56/0.82 fof(fact_287_mem__def, axiom, ![X8, X7]:(hBOOL(hAPP_nat_bool(X7,X8))<=>hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X8),X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_287_mem__def)). 0.56/0.82 fof(fact_9_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X37,X38)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_9_finite__imageI)). 0.56/0.82 fof(fact_13_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X37,X38)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_13_finite__imageI)). 0.56/0.82 fof(fact_686_One__nat__def, axiom, hAPP_nat_nat(suc,zero_zero_nat)=one_one_nat, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_686_One__nat__def)). 0.56/0.82 fof(fact_7_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X37,X38)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_7_finite__imageI)). 0.56/0.82 fof(fact_11_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X38))=>hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_11_finite__imageI)). 0.56/0.82 fof(fact_12_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X38))=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_12_finite__imageI)). 0.56/0.82 fof(fact_8_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8_finite__imageI)). 0.56/0.82 fof(fact_19_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X38))=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_19_finite__imageI)). 0.56/0.82 fof(fact_21_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X37,X38)))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_21_finite__imageI)). 0.56/0.82 fof(fact_20_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_20_finite__imageI)). 0.56/0.82 fof(fact_15_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X38))=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_15_finite__imageI)). 0.56/0.82 fof(fact_17_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X38))=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_17_finite__imageI)). 0.56/0.82 fof(fact_16_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X38))=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_16_finite__imageI)). 0.56/0.82 fof(fact_4_finite__Collect__subsets, axiom, ![X7]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))=>hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_4_finite__Collect__subsets)). 0.56/0.82 fof(help_fconj_1_1_U, axiom, ![X16, X15]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X15),X16))|~(hBOOL(X16))|~(hBOOL(X15))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fconj_1_1_U)). 0.56/0.82 fof(fact_111_rev__finite__subset, axiom, ![X7, X12]:(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X12))=>(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X7),X12))=>hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_111_rev__finite__subset)). 0.56/0.82 fof(fact_109_rev__finite__subset, axiom, ![X7, X12]:((hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))<=hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X7),X12)))<=hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_109_rev__finite__subset)). 0.56/0.82 fof(fact_110_rev__finite__subset, axiom, ![X7, X12]:((hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X7),X12))=>hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7)))<=hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_110_rev__finite__subset)). 0.56/0.82 fof(fact_114_rev__finite__subset, axiom, ![X7, X12]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X12))=>(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),X12))=>hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_114_rev__finite__subset)). 0.56/0.82 fof(fact_18_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X37,X38)))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_18_finite__imageI)). 0.56/0.82 fof(fact_14_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X38))=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X37,X38)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_14_finite__imageI)). 0.56/0.82 fof(fact_113_rev__finite__subset, axiom, ![X7, X12]:((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X12))=>hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_113_rev__finite__subset)). 0.56/0.82 fof(fact_685_diff__is__0__eq, axiom, ![X20, X21]:(zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X20),X21)<=>hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X20),X21))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_685_diff__is__0__eq)). 0.56/0.82 fof(fact_567_assms_I4_J, axiom, ![X75]:(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X75),u))=>hBOOL(wt(the_com(body(X75))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_567_assms_I4_J)). 0.56/0.82 fof(fact_134_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_fun_a_bool_a(X9,X7))))<=hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_134_finite__surj)). 0.56/0.82 fof(fact_132_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X7))=>(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_fun_nat_bool_a(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_132_finite__surj)). 0.56/0.82 fof(fact_133_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X7))=>(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_876012084bool_a(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_133_finite__surj)). 0.56/0.82 fof(help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T, axiom, ![X45, X46]:((is_fun_a_bool(X45)&is_fun_a_bool(X46))=>(X46=X45|~(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X45),X46))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T)). 0.56/0.82 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T, axiom, ![X45, X46]:((is_fun_pname_bool(X45)&is_fun_pname_bool(X46))=>(X46=X45|~(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X45),X46))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T)). 0.56/0.82 fof(fact_687_diffs0__imp__equal, axiom, ![X4, X5]:(zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X4),X5)=>(zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X5),X4)=>X4=X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_687_diffs0__imp__equal)). 0.56/0.82 fof(help_fimplies_1_1_U, axiom, ![X16, X15]:(hBOOL(X15)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X15),X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fimplies_1_1_U)). 0.56/0.82 fof(fact_140_finite__surj, axiom, ![X12, X9, X7]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_nat_a(X9,X7)))=>hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_140_finite__surj)). 0.56/0.82 fof(fact_91_finite__Collect__disjI, axiom, ![X22, X23]:((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X22)))&hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X23))))<=>hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X22),X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_91_finite__Collect__disjI)). 0.56/0.82 fof(fact_504_xt1_I6_J, axiom, ![X18, X6, X8]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X18),X8))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X18),X6)))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X6),X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_504_xt1_I6_J)). 0.56/0.82 fof(help_fimplies_2_1_U, axiom, ![X15, X16]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X15),X16))|~(hBOOL(X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fimplies_2_1_U)). 0.56/0.82 fof(fact_400_Collect__empty__eq, axiom, ![X22]:(![X32]:(~(hBOOL(hAPP_f1664156314l_bool(X22,X32)))<=is_fun_pname_bool(X32))<=>collec1974731493e_bool(X22)=bot_bo1649642514l_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_400_Collect__empty__eq)). 0.56/0.82 fof(fact_409_empty__Collect__eq, axiom, ![X22]:(bot_bo1649642514l_bool=collec1974731493e_bool(X22)<=>![X32]:(is_fun_pname_bool(X32)=>~(hBOOL(hAPP_f1664156314l_bool(X22,X32))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_409_empty__Collect__eq)). 0.56/0.82 fof(fact_10_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X37,X38)))<=hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_10_finite__imageI)). 0.56/0.82 fof(fact_72_finite__Collect__conjI, axiom, ![X23, X22]:((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X22)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X23))))=>hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X22),X23))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_72_finite__Collect__conjI)). 0.56/0.82 fof(fact_407_empty__Collect__eq, axiom, ![X22]:(bot_bo844097828e_bool=collect_pname(X22)<=>![X32]:(is_pname(X32)=>~(hBOOL(hAPP_pname_bool(X22,X32))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_407_empty__Collect__eq)). 0.56/0.82 fof(help_fequal_1_1_fequal_000tc__Com__Opname_T, axiom, ![X45, X46]:((X45=X46|~(hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X45),X46))))<=(is_pname(X45)&is_pname(X46))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_1_1_fequal_000tc__Com__Opname_T)). 0.56/0.82 fof(fact_288_mem__def, axiom, ![X8, X7]:(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X7))<=>hBOOL(hAPP_pname_bool(X7,X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_288_mem__def)). 0.56/0.82 fof(fact_574_nat__add__right__cancel, axiom, ![X20, X35, X21]:(hAPP_nat_nat(plus_plus_nat(X21),X35)=hAPP_nat_nat(plus_plus_nat(X20),X35)<=>X20=X21), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_574_nat__add__right__cancel)). 0.56/0.82 fof(fact_575_nat__add__left__cancel, axiom, ![X35, X20, X21]:(hAPP_nat_nat(plus_plus_nat(X35),X20)=hAPP_nat_nat(plus_plus_nat(X35),X21)<=>X20=X21), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_575_nat__add__left__cancel)). 0.56/0.82 fof(fact_398_Collect__empty__eq, axiom, ![X22]:(![X32]:(is_pname(X32)=>~(hBOOL(hAPP_pname_bool(X22,X32))))<=>bot_bo844097828e_bool=collect_pname(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_398_Collect__empty__eq)). 0.56/0.82 fof(fact_131_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))=>(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_a_a(X9,X7))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_131_finite__surj)). 0.56/0.82 fof(help_fequal_1_1_fequal_000t__a_T, axiom, ![X45, X46]:((~(hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X45),X46)))|X46=X45)<=(is_a(X45)&is_a(X46))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_1_1_fequal_000t__a_T)). 0.56/0.82 fof(gsy_c_hAPP_000t__a_000tc__HOL__Obool, axiom, ![X1, X2]:(is_bool(hAPP_a_bool(X1,X2))<=(is_fun_a_bool(X1)&is_a(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000t__a_000tc__HOL__Obool)). 0.56/0.82 fof(fact_402_Collect__empty__eq, axiom, ![X22]:(![X32]:(~(hBOOL(hAPP_a_bool(X22,X32)))<=is_a(X32))<=>collect_a(X22)=bot_bot_fun_a_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_402_Collect__empty__eq)). 0.56/0.82 fof(fact_411_empty__Collect__eq, axiom, ![X22]:(collect_a(X22)=bot_bot_fun_a_bool<=>![X32]:(~(hBOOL(hAPP_a_bool(X22,X32)))<=is_a(X32))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_411_empty__Collect__eq)). 0.56/0.82 fof(fact_154_finite__surj, axiom, ![X12, X9, X7]:(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X7))=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X12),image_pname_a(X9,X7)))=>hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_154_finite__surj)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool, hypothesis, ![X1, X2]:(is_bool(hAPP_f1664156314l_bool(X1,X2))<=(is_fun_pname_bool(X2)&is_fun1661590463l_bool(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool, axiom, ![X1, X2]:((is_fun_pname_bool(X1)&is_pname(X2))=>is_bool(hAPP_pname_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool)). 0.56/0.82 fof(fact_401_Collect__empty__eq, axiom, ![X22]:(![X32]:(~(hBOOL(hAPP_fun_a_bool_bool(X22,X32)))<=is_fun_a_bool(X32))<=>bot_bo1389914601l_bool=collect_fun_a_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_401_Collect__empty__eq)). 0.56/0.82 fof(fact_410_empty__Collect__eq, axiom, ![X22]:(bot_bo1389914601l_bool=collect_fun_a_bool(X22)<=>![X32]:(is_fun_a_bool(X32)=>~(hBOOL(hAPP_fun_a_bool_bool(X22,X32))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_410_empty__Collect__eq)). 0.56/0.82 fof(fact_81_Suc__inject, axiom, ![X45, X46]:(hAPP_nat_nat(suc,X45)=hAPP_nat_nat(suc,X46)=>X45=X46), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_81_Suc__inject)). 0.56/0.82 fof(fact_436_bot__unique, axiom, ![X13]:((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X13),bot_bo844097828e_bool))<=>X13=bot_bo844097828e_bool)<=is_fun_pname_bool(X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_436_bot__unique)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool, hypothesis, ![X1, X2]:(is_bool(hAPP_fun_a_bool_bool(X1,X2))<=(is_fun_a_bool(X2)&is_fun949378684l_bool(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun_pname_bool(X2)=>is_fun949378684l_bool(image_112932426a_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool, axiom, ![X1, X2]:(is_fun949378684l_bool(X2)=>is_fun949378684l_bool(cOMBB_2140588453a_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool)). 0.56/0.82 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun_a_bool(X2)=>is_fun949378684l_bool(image_a_fun_a_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__H, axiom, ![X1, X2]:(is_fun949378684l_bool(hAPP_p1824510254l_bool(X1,X2))<=is_pname(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__H)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___001, axiom, ![X1, X2]:(is_fun949378684l_bool(hAPP_f2117159681l_bool(X1,X2))<=is_fun949378684l_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___001)). 0.56/0.82 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J, hypothesis, ![X1, X2]:(is_a(X2)=>is_fun949378684l_bool(hAPP_a85458249l_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J)). 0.56/0.82 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000t__a_U, axiom, ![X15, X16]:(is_bool(X15)=>hAPP_a_bool(cOMBK_bool_a(X15),X16)=X15), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000t__a_U)). 0.56/0.82 fof(gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo, axiom, ![X1, X2]:(is_fun949378684l_bool(cOMBS_1035972772l_bool(X1,X2))<=is_fun949378684l_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__, axiom, ![X1, X2]:(is_fun949378684l_bool(X2)=>is_bool(hAPP_f621171935l_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo, axiom, ![X1, X2]:(is_fun1661590463l_bool(X2)=>is_bool(hAPP_f1935102916l_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo)). 0.56/0.82 fof(gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool, axiom, ![X1, X2]:(is_bool(X2)=>is_bool(hAPP_bool_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a, axiom, ![X1, X2]:(is_fun949378684l_bool(X2)=>is_fun_a_bool(image_fun_a_bool_a(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a)). 0.56/0.82 fof(gsy_c_Set_Oimage_000t__a_000t__a, axiom, ![X1, X2]:(is_fun_a_bool(X2)=>is_fun_a_bool(image_a_a(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000t__a_000t__a)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__H, axiom, ![X1, X2]:(is_fun_a_bool(hAPP_f1051908748a_bool(X1,X2))<=is_fun_pname_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__H)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a, axiom, ![X1, X2]:(is_fun_a_bool(image_876012084bool_a(X1,X2))<=is_fun1661590463l_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a)). 0.56/0.82 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool, axiom, ![X15, X16]:(X15=hAPP_f54304608l_bool(cOMBK_1994329625t_bool(X15),X16)<=is_bool(X15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool)). 0.56/0.82 fof(help_fdisj_1_1_U, axiom, ![X16, X15]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X15),X16))|~(hBOOL(X15))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fdisj_1_1_U)). 0.56/0.82 fof(help_fdisj_2_1_U, axiom, ![X15, X16]:(~(hBOOL(X16))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X15),X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fdisj_2_1_U)). 0.56/0.82 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a, axiom, ![X1, X2]:(is_fun_a_bool(X2)=>is_fun_a_bool(cOMBB_bool_bool_a(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun_a_bool(hAPP_p1534023578a_bool(X1,X2))<=is_pname(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_Set_Oimage_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun1661590463l_bool(image_819518260e_bool(X1,X2))<=is_fun_a_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_, axiom, ![X1, X2]:(is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2))<=is_fun1661590463l_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_)). 0.56/0.82 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo, axiom, ![X15, X16]:(is_bool(X15)=>X15=hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X15),X16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo)). 0.56/0.82 fof(help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T, axiom, ![X45, X46]:(X46=X45|~(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X45),X46)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T)). 0.56/0.82 fof(help_fequal_1_1_fequal_000tc__Nat__Onat_T, axiom, ![X45, X46]:(X46=X45|~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X45),X46)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fequal_1_1_fequal_000tc__Nat__Onat_T)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_, axiom, ![X1, X2]:(is_fun_pname_bool(X2)=>is_fun1661590463l_bool(image_47868345e_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_)). 0.56/0.82 fof(gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t, axiom, ![X1, X2]:(is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2))<=is_fun1661590463l_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_002, axiom, ![X1, X2]:(is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))<=is_fun1661590463l_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_002)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo, hypothesis, ![X1, X2]:(is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))<=is_pname(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo)). 0.56/0.82 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U, axiom, ![X15, X16]:(is_bool(X15)=>X15=hAPP_pname_bool(cOMBK_bool_pname(X15),X16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U)). 0.56/0.82 fof(fact_697_bot__nat__def, axiom, bot_bot_nat=zero_zero_nat, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_697_bot__nat__def)). 0.56/0.82 fof(fact_464_subset__empty, axiom, ![X7]:(X7=bot_bot_fun_nat_bool<=>hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X7),bot_bot_fun_nat_bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_464_subset__empty)). 0.56/0.82 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__H, axiom, ![X1, X2]:(is_a(X2)=>is_fun1661590463l_bool(hAPP_a217006258l_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__H)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc, axiom, ![X1, X2]:(is_fun_pname_bool(X2)=>is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname, axiom, ![X1, X2]:(is_fun_a_bool(X2)=>is_pname(hAPP_f1128469712_pname(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname, axiom, ![X1, X2]:(is_pname(X2)=>is_pname(hAPP_pname_pname(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname)). 0.56/0.82 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U, axiom, ![X15, X16]:(is_bool(X15)=>X15=hAPP_nat_bool(cOMBK_bool_nat(X15),X16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U)). 0.56/0.82 fof(fact_22_finite__imageI, axiom, ![X37, X38]:(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X37,X38)))<=hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X38))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_22_finite__imageI)). 0.56/0.82 fof(help_fimplies_3_1_U, axiom, ![X15, X16]:(~(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X15),X16)))|hBOOL(X16)|~(hBOOL(X15))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fimplies_3_1_U)). 0.56/0.82 fof(fact_432_le__bot, axiom, ![X13]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X13),bot_bot_bool))=>(hBOOL(bot_bot_bool)<=>hBOOL(X13))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_432_le__bot)). 0.56/0.82 fof(gsy_c_hAPP_000t__a_000tc__Com__Opname, axiom, ![X1, X2]:(is_pname(hAPP_a_pname(X1,X2))<=is_a(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000t__a_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname, axiom, ![X1, X2]:(is_fun_pname_bool(X2)=>is_pname(hAPP_f1297739591_pname(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_hAPP_000t__a_000t__a, axiom, ![X1, X2]:(is_a(X2)=>is_a(hAPP_a_a(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000t__a_000t__a)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opname_Mtc__H, axiom, ![X1, X2]:(is_fun_a_bool(X2)=>is_fun_pname_bool(hAPP_f1794073134e_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opname_Mtc__H)). 0.56/0.82 fof(fact_289_mem__def, axiom, ![X8, X7]:(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7))<=>hBOOL(hAPP_a_bool(X7,X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_289_mem__def)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname, axiom, ![X1, X2]:(is_fun_pname_bool(image_pname_pname(X1,X2))<=is_fun_pname_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_Set_Oimage_000t__a_000tc__Com__Opname, axiom, ![X1, X2]:(is_fun_a_bool(X2)=>is_fun_pname_bool(image_a_pname(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000t__a_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool, axiom, ![X1, X2]:(is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2))<=is_fun_pname_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname, axiom, ![X1, X2]:(is_fun_pname_bool(X2)=>is_fun_pname_bool(cOMBB_647938656_pname(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname)). 0.56/0.82 fof(help_fdisj_3_1_U, axiom, ![X15, X16]:(hBOOL(X16)|hBOOL(X15)|~(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X15),X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fdisj_3_1_U)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname, axiom, ![X1, X2]:(is_fun949378684l_bool(X2)=>is_fun_pname_bool(image_1854862208_pname(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op, axiom, ![X1, X2]:(is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))<=is_fun_pname_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam, axiom, ![X1, X2]:(is_fun_pname_bool(image_1283814551_pname(X1,X2))<=is_fun1661590463l_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))<=is_pname(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(help_COMBK_1_1_COMBK_000t__a_000tc__Com__Opname_U, axiom, ![X15, X16]:(X15=hAPP_pname_a(cOMBK_a_pname(X15),X16)<=is_a(X15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000t__a_000tc__Com__Opname_U)). 0.56/0.82 fof(fact_0_assms_I1_J, axiom, ![X90, X61]:(hBOOL(hAPP_fun_a_bool_bool(p(X61),X90))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X90),X61))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_assms_I1_J)). 0.56/0.82 fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J_U, axiom, ![X15, X16]:(is_bool(X15)=>X15=hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(X15),X16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J_U)). 0.56/0.82 fof(gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun_pname_bool(hAPP_a93125764e_bool(X1,X2))<=is_a(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(fact_112_rev__finite__subset, axiom, ![X7, X12]:((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X7))<=hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X7),X12)))<=hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X12))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_112_rev__finite__subset)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL, hypothesis, ![X1, X2]:(is_fun_a_bool(X2)=>is_fun949378684l_bool(hAPP_f1631501043l_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL)). 0.56/0.82 fof(help_fconj_2_1_U, axiom, ![X15, X16]:(hBOOL(X15)|~(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X15),X16)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fconj_2_1_U)). 0.56/0.82 fof(gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool, axiom, ![X1, X2]:(is_fun_a_bool(cOMBS_a_bool_bool(X1,X2))<=is_fun_a_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_fun_a_bool(X2)=>is_fun_a_bool(hAPP_f2050579477a_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:(is_a(X2)=>is_fun_a_bool(hAPP_a_fun_a_bool(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Com__Opname_000t__a, hypothesis, ![X1, X2]:(is_fun_a_bool(image_pname_a(X1,X2))<=is_fun_pname_bool(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Com__Opname_000t__a)). 0.56/0.82 fof(help_fconj_3_1_U, axiom, ![X15, X16]:(~(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X15),X16)))|hBOOL(X16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fconj_3_1_U)). 0.56/0.82 fof(fact_467_image__is__empty, axiom, ![X9, X7]:(is_fun_pname_bool(X7)=>(bot_bot_fun_a_bool=image_pname_a(X9,X7)<=>bot_bo844097828e_bool=X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_467_image__is__empty)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Com__Opname_000t__a, hypothesis, ![X1, X2]:(is_a(hAPP_pname_a(X1,X2))<=is_pname(X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Com__Opname_000t__a)). 0.56/0.82 fof(help_fNot_2_1_U, axiom, ![X15]:(hBOOL(X15)|hBOOL(hAPP_bool_bool(fNot,X15))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fNot_2_1_U)). 0.56/0.82 fof(fact_439_bot__unique, axiom, ![X13]:(is_fun_a_bool(X13)=>(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X13),bot_bot_fun_a_bool))<=>X13=bot_bot_fun_a_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_439_bot__unique)). 0.56/0.82 fof(fact_430_bot__apply, axiom, ![X8]:(hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X8))<=>hBOOL(bot_bot_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_430_bot__apply)). 0.56/0.82 fof(fact_425_bot__fun__def, axiom, ![X32]:(hBOOL(bot_bot_bool)<=>hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X32))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_425_bot__fun__def)). 0.56/0.82 fof(gsy_v_P, axiom, ![X1]:(is_fun_a_bool(X1)=>is_fun949378684l_bool(p(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_v_P)). 0.56/0.82 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1]:(is_bool(X1)=>is_fun949378684l_bool(cOMBK_324466864a_bool(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(fact_426_bot__fun__def, axiom, ![X32]:(hBOOL(bot_bot_bool)<=>hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X32))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_426_bot__fun__def)). 0.56/0.82 fof(gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1]:(is_fun949378684l_bool(collect_fun_a_bool(X1))<=is_fun949378684l_bool(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_COMBK_000tc__HOL__Obool_000t__a, axiom, ![X1]:(is_bool(X1)=>is_fun_a_bool(cOMBK_bool_a(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBK_000tc__HOL__Obool_000t__a)). 0.56/0.82 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1]:(is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))<=is_bool(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1]:(is_fun1661590463l_bool(X1)=>is_fun1661590463l_bool(collec1974731493e_bool(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname, axiom, ![X1]:(is_bool(X1)=>is_fun_pname_bool(cOMBK_bool_pname(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_Set_OCollect_000tc__Com__Opname, axiom, ![X1]:(is_fun_pname_bool(X1)=>is_fun_pname_bool(collect_pname(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_OCollect_000tc__Com__Opname)). 0.56/0.82 fof(fact_291_Collect__def, axiom, ![X22]:(X22=collect_pname(X22)<=is_fun_pname_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_291_Collect__def)). 0.56/0.82 fof(gsy_c_Set_OCollect_000t__a, axiom, ![X1]:(is_fun_a_bool(X1)=>is_fun_a_bool(collect_a(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_OCollect_000t__a)). 0.56/0.82 fof(help_fFalse_1_1_T, axiom, ![X15]:((X15=fTrue|X15=fFalse)<=is_bool(X15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fFalse_1_1_T)). 0.56/0.82 fof(fact_294_Collect__def, axiom, ![X22]:(collect_fun_a_bool(X22)=X22<=is_fun949378684l_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_294_Collect__def)). 0.56/0.82 fof(fact_293_Collect__def, axiom, ![X22]:(X22=collec1974731493e_bool(X22)<=is_fun1661590463l_bool(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_293_Collect__def)). 0.56/0.82 fof(fact_290_Collect__def, axiom, ![X22]:(is_fun_a_bool(X22)=>X22=collect_a(X22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_290_Collect__def)). 0.56/0.82 fof(help_fNot_1_1_U, axiom, ![X15]:(~(hBOOL(hAPP_bool_bool(fNot,X15)))|~(hBOOL(X15))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fNot_1_1_U)). 0.56/0.82 fof(fact_625_not__add__less1, axiom, ![X11, X24]:~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X11),X24)),X11))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_625_not__add__less1)). 0.56/0.82 fof(fact_624_not__add__less2, axiom, ![X24, X11]:~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X24),X11)),X11))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_624_not__add__less2)). 0.56/0.82 fof(fact_648_less__irrefl__nat, axiom, ![X5]:~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_648_less__irrefl__nat)). 0.56/0.82 fof(fact_404_empty__iff, axiom, ![X31]:~(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X31),bot_bot_fun_nat_bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_404_empty__iff)). 0.56/0.82 fof(fact_405_empty__iff, axiom, ![X31]:~(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X31),bot_bo844097828e_bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_405_empty__iff)). 0.56/0.82 fof(fact_678_less__zeroE, axiom, ![X5]:~(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),zero_zero_nat))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_678_less__zeroE)). 0.56/0.82 fof(fact_83_Suc__n__not__n, axiom, ![X5]:X5!=hAPP_nat_nat(suc,X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_83_Suc__n__not__n)). 0.56/0.82 fof(fact_406_empty__iff, axiom, ![X31]:~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X31),bot_bot_fun_a_bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_406_empty__iff)). 0.56/0.82 fof(fact_696_Zero__not__Suc, axiom, ![X4]:hAPP_nat_nat(suc,X4)!=zero_zero_nat, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_696_Zero__not__Suc)). 0.56/0.82 fof(conj_5, hypothesis, ~(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_5)). 0.56/0.82 fof(help_fFalse_1_1_U, axiom, ~(hBOOL(fFalse)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_fFalse_1_1_U)). 0.56/0.82 fof(fact_577_nat__add__left__commute, axiom, ![X45, X46, X52]:hAPP_nat_nat(plus_plus_nat(X46),hAPP_nat_nat(plus_plus_nat(X45),X52))=hAPP_nat_nat(plus_plus_nat(X45),hAPP_nat_nat(plus_plus_nat(X46),X52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_577_nat__add__left__commute)). 0.56/0.82 fof(fact_578_nat__add__commute, axiom, ![X4, X5]:hAPP_nat_nat(plus_plus_nat(X5),X4)=hAPP_nat_nat(plus_plus_nat(X4),X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_578_nat__add__commute)). 0.56/0.82 fof(fact_583_diff__cancel2, axiom, ![X4, X27, X5]:hAPP_nat_nat(minus_minus_nat(X4),X5)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X4),X27)),hAPP_nat_nat(plus_plus_nat(X5),X27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_583_diff__cancel2)). 0.56/0.82 fof(fact_582_diff__cancel, axiom, ![X27, X4, X5]:hAPP_nat_nat(minus_minus_nat(X4),X5)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X27),X4)),hAPP_nat_nat(plus_plus_nat(X27),X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_582_diff__cancel)). 0.56/0.82 fof(fact_576_nat__add__assoc, axiom, ![X4, X5, X27]:hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X4),X5)),X27)=hAPP_nat_nat(plus_plus_nat(X4),hAPP_nat_nat(plus_plus_nat(X5),X27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_576_nat__add__assoc)). 0.56/0.82 fof(fact_665_diff__less__Suc, axiom, ![X4, X5]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X4),X5)),hAPP_nat_nat(suc,X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_665_diff__less__Suc)). 0.56/0.82 fof(fact_655_less__add__Suc1, axiom, ![X11, X4]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X11),X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_655_less__add__Suc1)). 0.56/0.82 fof(fact_656_less__add__Suc2, axiom, ![X11, X4]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X11),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X4),X11)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_656_less__add__Suc2)). 0.56/0.82 fof(fact_123_diff__Suc__Suc, axiom, ![X4, X5]:hAPP_nat_nat(minus_minus_nat(X4),X5)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X4)),hAPP_nat_nat(suc,X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_123_diff__Suc__Suc)). 0.56/0.82 fof(help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_bool_bool(hAPP_p393069232l_bool(X15,X17),hAPP_pname_bool(X16,X17))=hAPP_pname_bool(cOMBS_568398431l_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O, axiom, ![X15, X16, X17]:hAPP_bool_bool(hAPP_f1476298914l_bool(X15,X17),hAPP_f1664156314l_bool(X16,X17))=hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O)). 0.56/0.82 fof(help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo, axiom, ![X15, X16, X17]:hAPP_f54304608l_bool(cOMBS_1187019125l_bool(X15,X16),X17)=hAPP_bool_bool(hAPP_f1748468828l_bool(X15,X17),hAPP_f54304608l_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo)). 0.56/0.82 fof(help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_nat_bool(cOMBS_nat_bool_bool(X15,X16),X17)=hAPP_bool_bool(hAPP_n1006566506l_bool(X15,X17),hAPP_nat_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_bool_bool(hAPP_a_fun_bool_bool(X15,X17),hAPP_a_bool(X16,X17))=hAPP_a_bool(cOMBS_a_bool_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_, axiom, ![X15, X16, X17]:hAPP_bool_bool(hAPP_f198738859l_bool(X15,X17),hAPP_fun_a_bool_bool(X16,X17))=hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H, axiom, ![X15, X16, X17]:hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(X15),X16),X17)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_, axiom, ![X15, X16, X17]:hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X15),X16),X17)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000t__a_000tc__Nat__Onat_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(X15),X16),X17)=hAPP_nat_bool(hAPP_a_fun_nat_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000t__a_000tc__Nat__Onat_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc, axiom, ![X15, X16, X17]:hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(X15),X16),X17)=hAPP_f1664156314l_bool(hAPP_a217006258l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__, axiom, ![X15, X16, X17]:hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(X15),X16),X17)=hAPP_f54304608l_bool(hAPP_a1392362872l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000t__a_000tc__Com__Opname_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(X15),X16),X17)=hAPP_pname_bool(hAPP_a93125764e_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000t__a_000tc__Com__Opname_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__021, axiom, ![X15, X16, X17]:hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(X15),X16),X17)=hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__021)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona, axiom, ![X15, X16, X17]:hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(X15),X16),X17)=hAPP_nat_bool(hAPP_f800510211t_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_, axiom, ![X15, X16, X17]:hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(X15),X16),X17)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_)). 0.56/0.82 fof(conj_2, hypothesis, hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,na)),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_024, axiom, ![X15, X16, X17]:hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X15),X16),X17)=hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_024)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Nat__O, axiom, ![X15, X16, X17]:hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(X15),X16),X17)=hAPP_nat_bool(hAPP_f1066163005t_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Nat__O)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Oboo, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(X15),X16),X17)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Oboo)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X15),X16),X17)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(X15),X16),X17)=hAPP_a_bool(hAPP_p1534023578a_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo, axiom, ![X15, X16, X17]:hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(X15),X16),X17)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000t__a_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(X15),X16),X17)=hAPP_a_bool(hAPP_nat_fun_a_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Nat__Onat_000t__a_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_, axiom, ![X15, X16, X17]:hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(X15),X16),X17)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool, axiom, ![X15, X16, X17]:hAPP_f621171935l_bool(hAPP_f1434722111l_bool(X15,X17),X16)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It, axiom, ![X15, X16, X17]:hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X15,X17),X16)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Com__Opname_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_n1025906991e_bool(X15,X17),X16)=hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Com__Opname_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opn, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_f654413245e_bool(X15,X17),X16)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opn)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(X15),X16),X17)=hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__, axiom, ![X15, X16, X17]:hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(X15,X17),X16)=hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_f759274231e_bool(X15,X17),X16)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O)). 0.56/0.82 fof(fact_130_diff__le__self, axiom, ![X4, X5]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X4),X5)),X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_130_diff__le__self)). 0.56/0.82 fof(fact_585_le__add1, axiom, ![X5, X4]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),hAPP_nat_nat(plus_plus_nat(X5),X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_585_le__add1)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_pname_bool(hAPP_p61793385e_bool(X15,X17),X16)=hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U)). 0.56/0.82 fof(fact_584_le__add2, axiom, ![X5, X4]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),hAPP_nat_nat(plus_plus_nat(X4),X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_584_le__add2)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname_000tc, axiom, ![X15, X16, X17]:hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(X15),X16),X17)=hAPP_pname_bool(hAPP_f1794073134e_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname_000tc)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Nat__Onat_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_nat_bool(hAPP_p1499970991t_bool(X15,X17),X16)=hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Nat__Onat_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__, axiom, ![X15, X16, X17]:hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(X15),X16),X17)=hAPP_f621171935l_bool(hAPP_f285962445l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat_000tc__, axiom, ![X15, X16, X17]:hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(X15),X16),X17)=hAPP_nat_bool(hAPP_f282463732t_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat_000tc__)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_nat_bool(hAPP_n1699378549t_bool(X15,X17),X16)=hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_013, axiom, ![X15, X16, X17]:hAPP_f1748468828l_bool(cOMBB_444170502t_bool(X15,X16),X17)=hAPP_b589554111l_bool(X15,hAPP_f54304608l_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_013)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_007, axiom, ![X15, X16, X17]:hAPP_p393069232l_bool(cOMBB_675860798_pname(X15,X16),X17)=hAPP_b589554111l_bool(X15,hAPP_pname_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_007)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_016, axiom, ![X15, X16, X17]:hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X15,X16),X17)=hAPP_b589554111l_bool(X15,hAPP_f1664156314l_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_016)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__005, axiom, ![X15, X16, X17]:hAPP_p1499970991t_bool(cOMBB_523834888_pname(X15,X16),X17)=hAPP_n1699378549t_bool(X15,hAPP_pname_nat(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__005)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__014, axiom, ![X15, X16, X17]:hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(X15,X16),X17)=hAPP_n1699378549t_bool(X15,hAPP_f921600141ol_nat(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__014)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_017, axiom, ![X15, X16, X17]:hAPP_f759274231e_bool(cOMBB_598082538e_bool(X15,X16),X17)=hAPP_p61793385e_bool(X15,hAPP_f1297739591_pname(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_017)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__009, axiom, ![X15, X16, X17]:hAPP_f282463732t_bool(cOMBB_164527437a_bool(X15,X16),X17)=hAPP_n1699378549t_bool(X15,hAPP_fun_a_bool_nat(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__009)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_, axiom, ![X15, X16, X17]:hAPP_a1392362872l_bool(cOMBB_743407885bool_a(X15,X16),X17)=hAPP_f103356543l_bool(X15,hAPP_a_fun_nat_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_, axiom, ![X15, X16, X17]:hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(X15,X16),X17)=hAPP_n1699378549t_bool(X15,hAPP_a_nat(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__012, axiom, ![X15, X16, X17]:hAPP_f800510211t_bool(cOMBB_1250273980t_bool(X15,X16),X17)=hAPP_n1699378549t_bool(X15,hAPP_f22106695ol_nat(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__012)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U, axiom, ![X15, X16, X17]:hAPP_a_bool(cOMBB_bool_bool_a(X15,X16),X17)=hAPP_bool_bool(X15,hAPP_a_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U, axiom, ![X15, X16, X17]:hAPP_pname_bool(cOMBB_647938656_pname(X15,X16),X17)=hAPP_bool_bool(X15,hAPP_pname_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob, axiom, ![X15, X16, X17]:hAPP_a93125764e_bool(cOMBB_610033911bool_a(X15,X16),X17)=hAPP_p61793385e_bool(X15,hAPP_a_pname(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_011, axiom, ![X15, X16, X17]:hAPP_p61793385e_bool(X15,hAPP_f1128469712_pname(X16,X17))=hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_011)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_008, axiom, ![X15, X16, X17]:hAPP_p61793385e_bool(X15,hAPP_pname_pname(X16,X17))=hAPP_p61793385e_bool(cOMBB_542850580_pname(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_008)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_006, axiom, ![X15, X16, X17]:hAPP_p61793385e_bool(X15,hAPP_nat_pname(X16,X17))=hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_006)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_015, axiom, ![X15, X16, X17]:hAPP_p61793385e_bool(X15,hAPP_f1291551745_pname(X16,X17))=hAPP_f654413245e_bool(cOMBB_141086128t_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_015)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__022, axiom, ![X15, X16, X17]:hAPP_f103356543l_bool(X15,hAPP_p1499970991t_bool(X16,X17))=hAPP_p130839763l_bool(cOMBB_928955006_pname(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__022)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__020, axiom, ![X15, X16, X17]:hAPP_f103356543l_bool(X15,hAPP_n1699378549t_bool(X16,X17))=hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__020)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On, axiom, ![X15, X16, X17]:hAPP_bool_bool(X15,hAPP_f54304608l_bool(X16,X17))=hAPP_f54304608l_bool(cOMBB_238756964t_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op, axiom, ![X15, X16, X17]:hAPP_bool_bool(X15,hAPP_f1664156314l_bool(X16,X17))=hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U, axiom, ![X15, X16, X17]:hAPP_bool_bool(X15,hAPP_nat_bool(X16,X17))=hAPP_nat_bool(cOMBB_bool_bool_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_004, axiom, ![X15, X16, X17]:hAPP_b589554111l_bool(X15,hAPP_nat_bool(X16,X17))=hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_004)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_023, axiom, ![X15, X16, X17]:hAPP_f434788991l_bool(X15,hAPP_n1025906991e_bool(X16,X17))=hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_023)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_025, axiom, ![X15, X16, X17]:hAPP_f434788991l_bool(X15,hAPP_p61793385e_bool(X16,X17))=hAPP_p338031245l_bool(cOMBB_408569982_pname(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_025)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It, axiom, ![X15, X16, X17]:hAPP_f434788991l_bool(X15,hAPP_a93125764e_bool(X16,X17))=hAPP_a217006258l_bool(cOMBB_1137537805bool_a(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U, axiom, ![X15, X16, X17]:hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X15),X16),X17)=hAPP_a_bool(hAPP_a_fun_a_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo, axiom, ![X15, X16, X17]:hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X15,X17),X16)=hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X15),X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__003, axiom, ![X15, X16, X17]:hAPP_n1699378549t_bool(X15,hAPP_nat_nat(X16,X17))=hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__003)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010, axiom, ![X15, X16, X17]:hAPP_f198738859l_bool(cOMBB_338059395a_bool(X15,X16),X17)=hAPP_b589554111l_bool(X15,hAPP_fun_a_bool_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___019, axiom, ![X15, X16, X17]:hAPP_p1824510254l_bool(cOMBB_392435466_pname(X15,X16),X17)=hAPP_f1631501043l_bool(X15,hAPP_p1534023578a_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___019)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat, axiom, ![X15, X16, X17]:hAPP_a_fun_a_bool(X15,hAPP_nat_a(X16,X17))=hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___018, axiom, ![X15, X16, X17]:hAPP_f1631501043l_bool(X15,hAPP_nat_fun_a_bool(X16,X17))=hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___018)). 0.56/0.82 fof(fact_612_lessI, axiom, ![X5]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X5),hAPP_nat_nat(suc,X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_612_lessI)). 0.56/0.82 fof(fact_680_zero__less__Suc, axiom, ![X5]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_680_zero__less__Suc)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo, axiom, ![X15, X16, X17]:hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(X15,X16),X17)=hAPP_b589554111l_bool(X15,hAPP_a_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo)). 0.56/0.82 fof(fact_579_diff__add__inverse2, axiom, ![X4, X5]:hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X4),X5)),X5)=X4, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_579_diff__add__inverse2)). 0.56/0.82 fof(fact_580_diff__add__inverse, axiom, ![X5, X4]:X4=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X5),X4)),X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_580_diff__add__inverse)). 0.56/0.82 fof(help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO, axiom, ![X15, X16, X17]:hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(X15),X16),X17)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(X15,X17),X16), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna, axiom, ![X15, X16, X17]:hAPP_p1534023578a_bool(cOMBB_1897541054_pname(X15,X16),X17)=hAPP_a_fun_a_bool(X15,hAPP_pname_a(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__, axiom, ![X15, X16, X17]:hAPP_f1631501043l_bool(X15,hAPP_a_fun_a_bool(X16,X17))=hAPP_a85458249l_bool(cOMBB_472261505bool_a(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__H, axiom, ![X15, X16, X17]:hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(X15,X16),X17)=hAPP_bool_bool(X15,hAPP_fun_a_bool_bool(X16,X17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__H)). 0.56/0.82 fof(help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a_U, axiom, ![X15, X16, X17]:hAPP_a_fun_a_bool(X15,hAPP_a_a(X16,X17))=hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(X15,X16),X17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a_U)). 0.56/0.82 fof(fact_683_diff__add__0, axiom, ![X5, X4]:hAPP_nat_nat(minus_minus_nat(X5),hAPP_nat_nat(plus_plus_nat(X5),X4))=zero_zero_nat, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_683_diff__add__0)). 0.56/0.82 fof(fact_569_diff__Suc__1, axiom, ![X5]:hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X5)),one_one_nat)=X5, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_569_diff__Suc__1)). 0.56/0.82 fof(fact_606_Suc__eq__plus1, axiom, ![X5]:hAPP_nat_nat(plus_plus_nat(X5),one_one_nat)=hAPP_nat_nat(suc,X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_606_Suc__eq__plus1)). 0.56/0.82 fof(fact_607_Suc__eq__plus1__left, axiom, ![X5]:hAPP_nat_nat(plus_plus_nat(one_one_nat),X5)=hAPP_nat_nat(suc,X5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_607_Suc__eq__plus1__left)). 0.56/0.82 fof(fact_369_order__refl, axiom, ![X8]:hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X8),X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_369_order__refl)). 0.56/0.82 fof(fact_367_order__refl, axiom, ![X8]:hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X8),X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_367_order__refl)). 0.56/0.82 fof(fact_266_subset__refl, axiom, ![X7]:hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X7),X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_266_subset__refl)). 0.56/0.82 fof(fact_89_le__refl, axiom, ![X5]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X5),X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_89_le__refl)). 0.56/0.82 fof(fact_443_bot__least, axiom, ![X13]:hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_443_bot__least)). 0.56/0.82 fof(fact_442_bot__least, axiom, ![X13]:hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_442_bot__least)). 0.56/0.82 fof(fact_392_empty__subsetI, axiom, ![X7]:hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_392_empty__subsetI)). 0.56/0.82 fof(fact_699_less__eq__nat_Osimps_I1_J, axiom, ![X5]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_699_less__eq__nat_Osimps_I1_J)). 0.56/0.82 fof(fact_688_diff__self__eq__0, axiom, ![X4]:zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X4),X4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_688_diff__self__eq__0)). 0.56/0.82 fof(fact_689_minus__nat_Odiff__0, axiom, ![X4]:hAPP_nat_nat(minus_minus_nat(X4),zero_zero_nat)=X4, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_689_minus__nat_Odiff__0)). 0.56/0.82 fof(fact_690_diff__0__eq__0, axiom, ![X5]:hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X5)=zero_zero_nat, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_690_diff__0__eq__0)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:is_fun949378684l_bool(image_nat_fun_a_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL, axiom, ![X1, X2]:is_fun949378684l_bool(hAPP_n1414589940l_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_, axiom, ![X1, X2]:is_bool(hAPP_f292226953l_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO, axiom, ![X1, X2]:is_bool(hAPP_f937997336l_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__, axiom, ![X1, X2]:is_bool(hAPP_f389811538l_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_, axiom, ![X1, X2]:is_bool(hAPP_f1637334154l_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool, axiom, ![X1, X2]:is_bool(hAPP_f54304608l_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool, hypothesis, ![X1, X2]:is_bool(hAPP_nat_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, ![X1, X2]:is_fun_a_bool(hAPP_nat_fun_a_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL, axiom, ![X1, X2]:is_fun_a_bool(hAPP_f1549043526a_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a, axiom, ![X1, X2]:is_fun_a_bool(image_nat_a(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a, axiom, ![X1, X2]:is_fun_a_bool(image_fun_nat_bool_a(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1, X2]:is_fun1661590463l_bool(image_1655916159e_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool, axiom, ![X1, X2]:is_fun1661590463l_bool(hAPP_n850744903l_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__Com__Opname, axiom, ![X1, X2]:is_pname(hAPP_nat_pname(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname, axiom, ![X1, X2]:is_pname(hAPP_f1291551745_pname(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Nat__Onat_000t__a, axiom, ![X1, X2]:is_a(hAPP_nat_a(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000t__a)). 0.56/0.82 fof(gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, ![X1, X2]:is_fun_pname_bool(hAPP_n1025906991e_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname, axiom, ![X1, X2]:is_fun_pname_bool(image_1921560913_pname(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opna, axiom, ![X1, X2]:is_fun_pname_bool(hAPP_f654413245e_bool(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opna)). 0.56/0.82 fof(gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname, axiom, ![X1, X2]:is_fun_pname_bool(image_nat_pname(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname)). 0.56/0.82 fof(gsy_v_wt, axiom, ![X1]:is_bool(wt(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_v_wt)). 0.56/0.82 fof(fact_370_order__refl, axiom, ![X8]:hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X8),X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_370_order__refl)). 0.56/0.82 fof(gsy_v_mgt, axiom, ![X1]:is_a(mgt(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_v_mgt)). 0.56/0.82 fof(fact_444_bot__least, axiom, ![X13]:hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),X13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_444_bot__least)). 0.56/0.82 fof(fact_468_image__empty, axiom, ![X9]:image_pname_a(X9,bot_bo844097828e_bool)=bot_bot_fun_a_bool, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_468_image__empty)). 0.56/0.82 fof(fact_420_empty__def, axiom, bot_bo1701429464l_bool=collect_fun_nat_bool(cOMBK_1994329625t_bool(fFalse)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_420_empty__def)). 0.56/0.82 fof(fact_424_empty__def, axiom, bot_bot_fun_nat_bool=collect_nat(cOMBK_bool_nat(fFalse)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_424_empty__def)). 0.56/0.82 fof(conj_3, hypothesis, hAPP_fun_a_bool_nat(finite_card_a,g)=hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_3)). 0.56/0.82 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool, axiom, is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool)). 0.56/0.82 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_, axiom, is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_)). 0.56/0.82 fof(gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(conj_4, hypothesis, hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_4)). 0.56/0.82 fof(fact_388_finite_OemptyI, axiom, hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,bot_bo1389914601l_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_388_finite_OemptyI)). 0.56/0.82 fof(fact_386_finite_OemptyI, axiom, hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,bot_bo1701429464l_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_386_finite_OemptyI)). 0.56/0.82 fof(fact_387_finite_OemptyI, axiom, hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_387_finite_OemptyI)). 0.56/0.82 fof(fact_391_finite_OemptyI, axiom, hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_391_finite_OemptyI)). 0.56/0.82 fof(fact_390_finite_OemptyI, axiom, hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_390_finite_OemptyI)). 0.56/0.82 fof(fact_422_empty__def, axiom, collect_fun_a_bool(cOMBK_324466864a_bool(fFalse))=bot_bo1389914601l_bool, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_422_empty__def)). 0.56/0.82 fof(gsy_c_HOL_Oundefined_000tc__Com__Opname, axiom, is_pname(undefined_pname(pname)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_HOL_Oundefined_000tc__Com__Opname)). 0.56/0.82 fof(fact_419_empty__def, axiom, collect_pname(cOMBK_bool_pname(fFalse))=bot_bo844097828e_bool, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_419_empty__def)). 0.56/0.82 fof(gsy_c_HOL_Oundefined_000t__a, axiom, is_a(undefined_a(x_a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_HOL_Oundefined_000t__a)). 0.56/0.82 fof(fact_421_empty__def, axiom, bot_bo1649642514l_bool=collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_421_empty__def)). 0.56/0.82 fof(fact_389_finite_OemptyI, axiom, hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_389_finite_OemptyI)). 0.56/0.82 fof(conj_0, hypothesis, hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.56/0.82 fof(fact_423_empty__def, axiom, collect_a(cOMBK_bool_a(fFalse))=bot_bot_fun_a_bool, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_423_empty__def)). 0.56/0.82 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc, axiom, is_fun949378684l_bool(bot_bo1389914601l_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc)). 0.56/0.82 fof(gsy_c_Finite__Set_Ofinite_000t__a, axiom, is_fun949378684l_bool(finite_finite_a), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Finite__Set_Ofinite_000t__a)). 0.56/0.82 fof(gsy_c_fFalse, axiom, is_bool(fFalse), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_fFalse)). 0.56/0.82 fof(gsy_c_fTrue, axiom, is_bool(fTrue), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_fTrue)). 0.56/0.82 fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool, axiom, is_bool(bot_bot_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool)). 0.56/0.82 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_It__a_Mtc__HOL__Obool_J, axiom, is_fun_a_bool(bot_bot_fun_a_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Orderings_Obot__class_Obot_000tc__fun_It__a_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__, axiom, is_fun1661590463l_bool(bot_bo1649642514l_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__)). 0.56/0.82 fof(gsy_c_Finite__Set_Ofinite_000tc__Com__Opname, hypothesis, is_fun1661590463l_bool(finite_finite_pname), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Finite__Set_Ofinite_000tc__Com__Opname)). 0.56/0.82 fof(gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J, axiom, is_fun_pname_bool(bot_bo844097828e_bool), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J)). 0.56/0.82 fof(gsy_v_G, hypothesis, is_fun_a_bool(g), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_v_G)). 0.56/0.82 fof(gsy_v_pn, hypothesis, is_pname(pn), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_v_pn)). 0.56/0.82 fof(gsy_v_U, hypothesis, is_fun_pname_bool(u), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', gsy_v_U)). 0.56/0.82 fof(conj_1, hypothesis, hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 0.56/0.82 fof(c_0_727, plain, ![X1482, X1483]:insert_fun_nat_bool(X1482,X1483)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1482)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1483))), inference(variable_rename,[status(thm)],[fact_233_insert__compr])). 0.56/0.82 fof(c_0_728, plain, ![X961]:X961=collect_fun_nat_bool(X961), inference(variable_rename,[status(thm)],[fact_292_Collect__def])). 0.56/0.82 fof(c_0_729, plain, ![X629, X630]:insert_nat(X629,X630)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X629)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X630))), inference(variable_rename,[status(thm)],[fact_236_insert__compr])). 0.56/0.82 fof(c_0_730, plain, ![X1938]:X1938=collect_nat(X1938), inference(variable_rename,[status(thm)],[fact_295_Collect__def])). 0.56/0.82 fof(c_0_731, plain, ![X1365]:insert_fun_nat_bool(X1365,bot_bo1701429464l_bool)=collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1365)), inference(variable_rename,[status(thm)],[fact_485_singleton__conv])). 0.56/0.82 cnf(c_0_732, plain, (insert_fun_nat_bool(X1,X2)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2)))), inference(split_conjunct,[status(thm)],[c_0_727])). 0.56/0.82 cnf(c_0_733, plain, (X1=collect_fun_nat_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_728])). 0.56/0.82 fof(c_0_734, plain, ![X550]:collect_fun_nat_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X550))=insert_fun_nat_bool(X550,bot_bo1701429464l_bool), inference(variable_rename,[status(thm)],[fact_491_singleton__conv2])). 0.56/0.82 fof(c_0_735, plain, ![X1249]:insert_nat(X1249,bot_bot_fun_nat_bool)=collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1249)), inference(variable_rename,[status(thm)],[fact_482_singleton__conv])). 0.56/0.82 cnf(c_0_736, plain, (insert_nat(X1,X2)=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))), inference(split_conjunct,[status(thm)],[c_0_729])). 0.56/0.82 cnf(c_0_737, plain, (X1=collect_nat(X1)), inference(split_conjunct,[status(thm)],[c_0_730])). 0.56/0.82 fof(c_0_738, plain, ![X1720]:insert_nat(X1720,bot_bot_fun_nat_bool)=collect_nat(hAPP_n1699378549t_bool(fequal_nat,X1720)), inference(variable_rename,[status(thm)],[fact_488_singleton__conv2])). 0.56/0.82 fof(c_0_739, plain, ![X1037, X1038]:collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1037))),X1038))=insert_fun_nat_bool(X1037,collect_fun_nat_bool(X1038)), inference(variable_rename,[status(thm)],[fact_240_insert__Collect])). 0.56/0.82 cnf(c_0_740, plain, (insert_fun_nat_bool(X1,bot_bo1701429464l_bool)=collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1))), inference(split_conjunct,[status(thm)],[c_0_731])). 0.56/0.82 cnf(c_0_741, plain, (insert_fun_nat_bool(X1,X2)=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2))), inference(rw,[status(thm)],[c_0_732, c_0_733])). 0.56/0.82 cnf(c_0_742, plain, (collect_fun_nat_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))=insert_fun_nat_bool(X1,bot_bo1701429464l_bool)), inference(split_conjunct,[status(thm)],[c_0_734])). 0.56/0.82 fof(c_0_743, plain, ![X1804, X1805, X1806, X1807]:((((X1805=X1807|X1804=X1807|insert_nat(X1804,insert_nat(X1805,bot_bot_fun_nat_bool))!=insert_nat(X1806,insert_nat(X1807,bot_bot_fun_nat_bool)))&(X1806=X1804|X1804=X1807|insert_nat(X1804,insert_nat(X1805,bot_bot_fun_nat_bool))!=insert_nat(X1806,insert_nat(X1807,bot_bot_fun_nat_bool))))&((X1805=X1807|X1806=X1805|insert_nat(X1804,insert_nat(X1805,bot_bot_fun_nat_bool))!=insert_nat(X1806,insert_nat(X1807,bot_bot_fun_nat_bool)))&(X1806=X1804|X1806=X1805|insert_nat(X1804,insert_nat(X1805,bot_bot_fun_nat_bool))!=insert_nat(X1806,insert_nat(X1807,bot_bot_fun_nat_bool)))))&((X1804!=X1807|X1806!=X1805|insert_nat(X1804,insert_nat(X1805,bot_bot_fun_nat_bool))=insert_nat(X1806,insert_nat(X1807,bot_bot_fun_nat_bool)))&(X1805!=X1807|X1806!=X1804|insert_nat(X1804,insert_nat(X1805,bot_bot_fun_nat_bool))=insert_nat(X1806,insert_nat(X1807,bot_bot_fun_nat_bool))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_453_doubleton__eq__iff])])])). 0.56/0.82 cnf(c_0_744, plain, (insert_nat(X1,bot_bot_fun_nat_bool)=collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1))), inference(split_conjunct,[status(thm)],[c_0_735])). 0.56/0.82 cnf(c_0_745, plain, (insert_nat(X1,X2)=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))), inference(rw,[status(thm)],[c_0_736, c_0_737])). 0.56/0.82 cnf(c_0_746, plain, (insert_nat(X1,bot_bot_fun_nat_bool)=collect_nat(hAPP_n1699378549t_bool(fequal_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_738])). 0.56/0.82 fof(c_0_747, plain, ![X999, X1000]:((hBOOL(hAPP_f54304608l_bool(X999,X1000))|bot_bo1701429464l_bool=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1000)),X999)))&(~hBOOL(hAPP_f54304608l_bool(X999,X1000))|insert_fun_nat_bool(X1000,bot_bo1701429464l_bool)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1000)),X999)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_479_Collect__conv__if2])])])). 0.56/0.82 cnf(c_0_748, plain, (collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1))),X2))=insert_fun_nat_bool(X1,collect_fun_nat_bool(X2))), inference(split_conjunct,[status(thm)],[c_0_739])). 0.56/0.82 cnf(c_0_749, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),bot_bo1701429464l_bool))=hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_740, c_0_733]), c_0_741])). 0.56/0.82 cnf(c_0_750, plain, (hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),bot_bo1701429464l_bool))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_742, c_0_733]), c_0_741])). 0.56/0.82 fof(c_0_751, plain, ![X1533, X1534]:(insert_nat(X1534,bot_bot_fun_nat_bool)!=insert_nat(X1533,bot_bot_fun_nat_bool)|X1533=X1534), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_447_singleton__inject])])). 0.56/0.82 fof(c_0_752, plain, ![X1584, X1585, X1586, X1587]:((((X1586=X1585|X1585=X1587|insert_pname(X1584,insert_pname(X1585,bot_bo844097828e_bool))!=insert_pname(X1586,insert_pname(X1587,bot_bo844097828e_bool))|(~is_pname(X1584)|~is_pname(X1585)|~is_pname(X1586)|~is_pname(X1587)))&(X1584=X1587|X1585=X1587|insert_pname(X1584,insert_pname(X1585,bot_bo844097828e_bool))!=insert_pname(X1586,insert_pname(X1587,bot_bo844097828e_bool))|(~is_pname(X1584)|~is_pname(X1585)|~is_pname(X1586)|~is_pname(X1587))))&((X1586=X1585|X1586=X1584|insert_pname(X1584,insert_pname(X1585,bot_bo844097828e_bool))!=insert_pname(X1586,insert_pname(X1587,bot_bo844097828e_bool))|(~is_pname(X1584)|~is_pname(X1585)|~is_pname(X1586)|~is_pname(X1587)))&(X1584=X1587|X1586=X1584|insert_pname(X1584,insert_pname(X1585,bot_bo844097828e_bool))!=insert_pname(X1586,insert_pname(X1587,bot_bo844097828e_bool))|(~is_pname(X1584)|~is_pname(X1585)|~is_pname(X1586)|~is_pname(X1587)))))&((X1585!=X1587|X1586!=X1584|insert_pname(X1584,insert_pname(X1585,bot_bo844097828e_bool))=insert_pname(X1586,insert_pname(X1587,bot_bo844097828e_bool))|(~is_pname(X1584)|~is_pname(X1585)|~is_pname(X1586)|~is_pname(X1587)))&(X1586!=X1585|X1584!=X1587|insert_pname(X1584,insert_pname(X1585,bot_bo844097828e_bool))=insert_pname(X1586,insert_pname(X1587,bot_bo844097828e_bool))|(~is_pname(X1584)|~is_pname(X1585)|~is_pname(X1586)|~is_pname(X1587))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_452_doubleton__eq__iff])])])). 0.56/0.82 fof(c_0_753, plain, ![X644, X645]:insert_pname(X644,X645)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X644)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X645))), inference(variable_rename,[status(thm)],[fact_317_insert__compr__raw])). 0.56/0.82 fof(c_0_754, plain, ![X477]:insert_pname(X477,bot_bo844097828e_bool)=collect_pname(hAPP_p61793385e_bool(fequal_pname,X477)), inference(variable_rename,[status(thm)],[fact_489_singleton__conv2])). 0.56/0.82 fof(c_0_755, plain, ![X391, X392]:insert_pname(X391,collect_pname(X392))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X391))),X392)), inference(variable_rename,[status(thm)],[fact_239_insert__Collect])). 0.56/0.82 cnf(c_0_756, plain, (X1=X2|X3=X1|insert_nat(X4,insert_nat(X1,bot_bot_fun_nat_bool))!=insert_nat(X3,insert_nat(X2,bot_bot_fun_nat_bool))), inference(split_conjunct,[status(thm)],[c_0_743])). 0.56/0.82 cnf(c_0_757, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))=hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_744, c_0_737]), c_0_745])). 0.56/0.82 cnf(c_0_758, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))=hAPP_n1699378549t_bool(fequal_nat,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_746, c_0_737]), c_0_745])). 0.56/0.82 cnf(c_0_759, plain, (X1=X2|X2=X3|insert_nat(X2,insert_nat(X4,bot_bot_fun_nat_bool))!=insert_nat(X1,insert_nat(X3,bot_bot_fun_nat_bool))), inference(split_conjunct,[status(thm)],[c_0_743])). 0.56/0.82 fof(c_0_760, plain, ![X100, X101, X102]:((~hBOOL(hAPP_pname_bool(insert_pname(X100,X101),X102))|(X102=X100|hBOOL(hAPP_pname_bool(X101,X102)))|(~is_pname(X100)|~is_pname(X102)))&((X102!=X100|hBOOL(hAPP_pname_bool(insert_pname(X100,X101),X102))|(~is_pname(X100)|~is_pname(X102)))&(~hBOOL(hAPP_pname_bool(X101,X102))|hBOOL(hAPP_pname_bool(insert_pname(X100,X101),X102))|(~is_pname(X100)|~is_pname(X102))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_254_insert__code])])])])). 0.56/0.82 cnf(c_0_761, plain, (insert_fun_nat_bool(X2,bot_bo1701429464l_bool)=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2)),X1))|~hBOOL(hAPP_f54304608l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_747])). 0.56/0.82 cnf(c_0_762, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1))),X2)=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_748, c_0_733]), c_0_733]), c_0_741])). 0.56/0.82 cnf(c_0_763, plain, (hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)), inference(rw,[status(thm)],[c_0_749, c_0_750]), ['final']). 0.56/0.82 fof(c_0_764, plain, ![X1840, X1841, X1842, X1843]:((((X1841=X1843|X1840=X1843|insert_a(X1840,insert_a(X1841,bot_bot_fun_a_bool))!=insert_a(X1842,insert_a(X1843,bot_bot_fun_a_bool))|(~is_a(X1840)|~is_a(X1841)|~is_a(X1843)|~is_a(X1842)))&(X1840=X1842|X1840=X1843|insert_a(X1840,insert_a(X1841,bot_bot_fun_a_bool))!=insert_a(X1842,insert_a(X1843,bot_bot_fun_a_bool))|(~is_a(X1840)|~is_a(X1841)|~is_a(X1843)|~is_a(X1842))))&((X1841=X1843|X1841=X1842|insert_a(X1840,insert_a(X1841,bot_bot_fun_a_bool))!=insert_a(X1842,insert_a(X1843,bot_bot_fun_a_bool))|(~is_a(X1840)|~is_a(X1841)|~is_a(X1843)|~is_a(X1842)))&(X1840=X1842|X1841=X1842|insert_a(X1840,insert_a(X1841,bot_bot_fun_a_bool))!=insert_a(X1842,insert_a(X1843,bot_bot_fun_a_bool))|(~is_a(X1840)|~is_a(X1841)|~is_a(X1843)|~is_a(X1842)))))&((X1840!=X1843|X1841!=X1842|insert_a(X1840,insert_a(X1841,bot_bot_fun_a_bool))=insert_a(X1842,insert_a(X1843,bot_bot_fun_a_bool))|(~is_a(X1840)|~is_a(X1841)|~is_a(X1843)|~is_a(X1842)))&(X1841!=X1843|X1840!=X1842|insert_a(X1840,insert_a(X1841,bot_bot_fun_a_bool))=insert_a(X1842,insert_a(X1843,bot_bot_fun_a_bool))|(~is_a(X1840)|~is_a(X1841)|~is_a(X1843)|~is_a(X1842))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_454_doubleton__eq__iff])])])). 0.56/0.82 fof(c_0_765, plain, ![X919, X920]:insert_a(X919,X920)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X919)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X920))), inference(variable_rename,[status(thm)],[fact_318_insert__compr__raw])). 0.56/0.82 fof(c_0_766, plain, ![X835]:insert_a(X835,bot_bot_fun_a_bool)=collect_a(hAPP_a_fun_a_bool(fequal_a,X835)), inference(variable_rename,[status(thm)],[fact_490_singleton__conv2])). 0.56/0.82 fof(c_0_767, plain, ![X1374, X1375]:insert_a(X1374,collect_a(X1375))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1374))),X1375)), inference(variable_rename,[status(thm)],[fact_244_insert__Collect])). 0.56/0.82 cnf(c_0_768, plain, (X2=X1|insert_nat(X1,bot_bot_fun_nat_bool)!=insert_nat(X2,bot_bot_fun_nat_bool)), inference(split_conjunct,[status(thm)],[c_0_751])). 0.56/0.82 fof(c_0_769, plain, ![X1291, X1292]:((~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(X1291,X1292)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1292)))&(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1292))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(X1291,X1292))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_101_finite__insert])])). 0.56/0.82 fof(c_0_770, plain, ![X1475, X1476]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1475),insert_pname(X1476,bot_bo844097828e_bool)))|X1475=X1476|(~is_pname(X1476)|~is_pname(X1475)))&(X1475!=X1476|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1475),insert_pname(X1476,bot_bo844097828e_bool)))|(~is_pname(X1476)|~is_pname(X1475)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_456_singleton__iff])])])])). 0.56/0.82 fof(c_0_771, plain, ![X846, X847]:((~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(X846,X847)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X847)))&(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X847))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(X846,X847))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_97_finite__insert])])). 0.56/0.82 fof(c_0_772, plain, ![X152, X153]:(~is_pname(X153)|~is_pname(X152)|(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X152),insert_pname(X153,bot_bo844097828e_bool)))|X153=X152)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_450_singletonE])])])). 0.56/0.82 fof(c_0_773, plain, ![X1155, X1156]:((~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1155),insert_nat(X1156,bot_bot_fun_nat_bool)))|X1156=X1155)&(X1156!=X1155|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1155),insert_nat(X1156,bot_bot_fun_nat_bool))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_455_singleton__iff])])). 0.56/0.82 fof(c_0_774, plain, ![X1602, X1603, X1604]:((~hBOOL(hAPP_a_bool(insert_a(X1602,X1603),X1604))|(hBOOL(hAPP_a_bool(X1603,X1604))|X1602=X1604)|(~is_a(X1602)|~is_a(X1604)))&((~hBOOL(hAPP_a_bool(X1603,X1604))|hBOOL(hAPP_a_bool(insert_a(X1602,X1603),X1604))|(~is_a(X1602)|~is_a(X1604)))&(X1602!=X1604|hBOOL(hAPP_a_bool(insert_a(X1602,X1603),X1604))|(~is_a(X1602)|~is_a(X1604))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_256_insert__code])])])])). 0.56/0.82 fof(c_0_775, plain, ![X393, X394]:((~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X393),insert_a(X394,bot_bot_fun_a_bool)))|X394=X393|(~is_a(X393)|~is_a(X394)))&(X394!=X393|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X393),insert_a(X394,bot_bot_fun_a_bool)))|(~is_a(X393)|~is_a(X394)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_457_singleton__iff])])])). 0.56/0.82 fof(c_0_776, plain, ![X1782, X1783, X1784]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1783),X1784))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X1782,X1783)),insert_nat(X1782,X1784)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_332_insert__mono])])). 0.56/0.82 fof(c_0_777, plain, ![X586, X587]:((hBOOL(hAPP_f1664156314l_bool(X586,X587))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X587)),X586))=bot_bo1649642514l_bool)&(~hBOOL(hAPP_f1664156314l_bool(X586,X587))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X587)),X586))=insert1325755072e_bool(X587,bot_bo1649642514l_bool))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_474_Collect__conv__if])])])). 0.56/0.82 fof(c_0_778, plain, ![X1916, X1917]:insert1325755072e_bool(X1916,X1917)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1916)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1917))), inference(variable_rename,[status(thm)],[fact_314_insert__compr__raw])). 0.56/0.82 fof(c_0_779, plain, ![X1734]:collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1734))=insert1325755072e_bool(X1734,bot_bo1649642514l_bool), inference(variable_rename,[status(thm)],[fact_492_singleton__conv2])). 0.56/0.82 fof(c_0_780, plain, ![X2096, X2097, X2098]:((insert_nat(X2097,X2098)!=insert_nat(X2097,X2096)|X2098=X2096|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2097),X2096))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2097),X2098)))&(X2098!=X2096|insert_nat(X2097,X2098)=insert_nat(X2097,X2096)|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2097),X2096))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2097),X2098)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_257_insert__ident])])])])). 0.56/0.82 fof(c_0_781, plain, ![X812, X813]:((~hBOOL(hAPP_pname_bool(X812,X813))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X813)),X812))=insert_pname(X813,bot_bo844097828e_bool))&(hBOOL(hAPP_pname_bool(X812,X813))|bot_bo844097828e_bool=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X813)),X812)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_471_Collect__conv__if])])])). 0.56/0.82 fof(c_0_782, plain, ![X488, X489]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X489))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X489)),hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X488,X489))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_58_card__insert__le])])])). 0.56/0.82 fof(c_0_783, plain, ![X1422, X1423]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1423))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1423)),hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X1422,X1423))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_54_card__insert__le])])])). 0.56/0.82 fof(c_0_784, plain, ![X2115, X2116, X2117]:(((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2115),X2117))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X2115,X2116)),X2117)))&(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2116),X2117))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X2115,X2116)),X2117))))&(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2115),X2117))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2116),X2117))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X2115,X2116)),X2117)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_322_insert__subset])])])). 0.56/0.82 fof(c_0_785, plain, ![X242, X243]:(~is_fun_pname_bool(X242)|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X242),insert_pname(X243,bot_bo844097828e_bool)))|(X242=bot_bo844097828e_bool|X242=insert_pname(X243,bot_bo844097828e_bool)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_495_subset__singletonD])])])). 0.56/0.82 fof(c_0_786, plain, ![X917, X918]:((~hBOOL(hAPP_fun_a_bool_bool(X917,X918))|insert_fun_a_bool(X918,bot_bo1389914601l_bool)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X918)),X917)))&(hBOOL(hAPP_fun_a_bool_bool(X917,X918))|bot_bo1389914601l_bool=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X918)),X917)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_475_Collect__conv__if])])])). 0.56/0.82 fof(c_0_787, plain, ![X1324, X1325]:insert_fun_a_bool(X1324,X1325)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1324)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1325))), inference(variable_rename,[status(thm)],[fact_315_insert__compr__raw])). 0.56/0.82 fof(c_0_788, plain, ![X1654]:insert_fun_a_bool(X1654,bot_bo1389914601l_bool)=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1654)), inference(variable_rename,[status(thm)],[fact_493_singleton__conv2])). 0.56/0.82 fof(c_0_789, plain, ![X782, X783]:((~hBOOL(hAPP_f1664156314l_bool(X782,X783))|insert1325755072e_bool(X783,bot_bo1649642514l_bool)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X783)),X782)))&(hBOOL(hAPP_f1664156314l_bool(X782,X783))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X783)),X782))=bot_bo1649642514l_bool)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_480_Collect__conv__if2])])])). 0.56/0.82 fof(c_0_790, plain, ![X267, X268]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X267),insert_nat(X268,bot_bot_fun_nat_bool)))|(X267=insert_nat(X268,bot_bot_fun_nat_bool)|X267=bot_bot_fun_nat_bool)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_494_subset__singletonD])])). 0.56/0.82 fof(c_0_791, plain, ![X2085, X2086]:((~hBOOL(hAPP_pname_bool(X2085,X2086))|insert_pname(X2086,bot_bo844097828e_bool)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2086)),X2085)))&(hBOOL(hAPP_pname_bool(X2085,X2086))|bot_bo844097828e_bool=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2086)),X2085)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_477_Collect__conv__if2])])])). 0.56/0.82 fof(c_0_792, plain, ![X2137, X2138]:((~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X2137),X2138))|hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X2137,X2138))=hAPP_f696928925ol_nat(finite346522414t_bool,X2138)|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2138)))&(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X2137),X2138))|hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,X2138))=hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X2137,X2138))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2138)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_60_card__insert__if])])])])). 0.56/0.82 fof(c_0_793, plain, ![X1582, X1583]:((~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1582),X1583))|hAPP_f22106695ol_nat(finite_card_nat,X1583)=hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X1582,X1583))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1583)))&(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1582),X1583))|hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,X1583))=hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X1582,X1583))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1583)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_63_card__insert__if])])])])). 0.56/0.82 fof(c_0_794, plain, ![X1203, X1204]:((hBOOL(hAPP_fun_a_bool_bool(X1203,X1204))|collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X1204)),X1203))=bot_bo1389914601l_bool)&(~hBOOL(hAPP_fun_a_bool_bool(X1203,X1204))|collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X1204)),X1203))=insert_fun_a_bool(X1204,bot_bo1389914601l_bool))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_481_Collect__conv__if2])])])). 0.56/0.82 fof(c_0_795, plain, ![X1052, X1053, X1054]:((hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk51_3(X1052,X1053,X1054)))|hBOOL(hAPP_f1637334154l_bool(X1052,X1054))|~hBOOL(hAPP_f1637334154l_bool(X1052,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1054),X1053))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1054)))&((hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk50_3(X1052,X1053,X1054)),X1053))|hBOOL(hAPP_f1637334154l_bool(X1052,X1054))|~hBOOL(hAPP_f1637334154l_bool(X1052,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1054),X1053))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1054)))&((~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk50_3(X1052,X1053,X1054)),esk51_3(X1052,X1053,X1054)))|hBOOL(hAPP_f1637334154l_bool(X1052,X1054))|~hBOOL(hAPP_f1637334154l_bool(X1052,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1054),X1053))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1054)))&((hBOOL(hAPP_f1637334154l_bool(X1052,esk51_3(X1052,X1053,X1054)))|hBOOL(hAPP_f1637334154l_bool(X1052,X1054))|~hBOOL(hAPP_f1637334154l_bool(X1052,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1054),X1053))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1054)))&(~hBOOL(hAPP_f1637334154l_bool(X1052,insert_fun_nat_bool(esk50_3(X1052,X1053,X1054),esk51_3(X1052,X1053,X1054))))|hBOOL(hAPP_f1637334154l_bool(X1052,X1054))|~hBOOL(hAPP_f1637334154l_bool(X1052,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1054),X1053))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1054))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_559_finite__subset__induct])])])])])). 0.56/0.82 fof(c_0_796, plain, ![X2224, X2225, X2226]:((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk132_3(X2224,X2225,X2226)))|hBOOL(hAPP_f54304608l_bool(X2224,X2226))|~hBOOL(hAPP_f54304608l_bool(X2224,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2226),X2225))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2226)))&((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk131_3(X2224,X2225,X2226)),X2225))|hBOOL(hAPP_f54304608l_bool(X2224,X2226))|~hBOOL(hAPP_f54304608l_bool(X2224,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2226),X2225))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2226)))&((~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk131_3(X2224,X2225,X2226)),esk132_3(X2224,X2225,X2226)))|hBOOL(hAPP_f54304608l_bool(X2224,X2226))|~hBOOL(hAPP_f54304608l_bool(X2224,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2226),X2225))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2226)))&((hBOOL(hAPP_f54304608l_bool(X2224,esk132_3(X2224,X2225,X2226)))|hBOOL(hAPP_f54304608l_bool(X2224,X2226))|~hBOOL(hAPP_f54304608l_bool(X2224,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2226),X2225))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2226)))&(~hBOOL(hAPP_f54304608l_bool(X2224,insert_nat(esk131_3(X2224,X2225,X2226),esk132_3(X2224,X2225,X2226))))|hBOOL(hAPP_f54304608l_bool(X2224,X2226))|~hBOOL(hAPP_f54304608l_bool(X2224,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2226),X2225))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2226))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_556_finite__subset__induct])])])])])). 0.56/0.82 fof(c_0_797, plain, ![X2079, X2080, X2081]:((~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2081),X2079))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2081),insert_nat(X2080,X2079)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2080),X2081)))&(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2081),insert_nat(X2080,X2079)))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2081),X2079))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2080),X2081)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_325_subset__insert])])])])). 0.56/0.82 fof(c_0_798, plain, ![X366, X367]:(~is_pname(X367)|~is_pname(X366)|(insert_pname(X367,bot_bo844097828e_bool)!=insert_pname(X366,bot_bo844097828e_bool)|X367=X366)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_446_singleton__inject])])])). 0.56/0.82 fof(c_0_799, plain, ![X497, X498, X499]:((~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X498),X499))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X498),insert_nat(X497,X499))))&(X497!=X498|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X498),insert_nat(X497,X499))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_222_insertCI])])])])). 0.56/0.82 fof(c_0_800, plain, ![X1976, X1977, X1978]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1977),X1978))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1977),insert_nat(X1976,X1978)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_329_subset__insertI2])])])). 0.56/0.82 fof(c_0_801, plain, ![X2032, X2033, X2034]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2033),X2034))|insert_nat(hAPP_a_nat(X2032,X2033),image_a_nat(X2032,X2034))=image_a_nat(X2032,X2034)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_341_insert__image])])])). 0.56/0.82 fof(c_0_802, plain, ![X1456, X1457, X1458]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1457),X1458))|insert_nat(hAPP_pname_nat(X1456,X1457),image_pname_nat(X1456,X1458))=image_pname_nat(X1456,X1458)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_339_insert__image])])])). 0.56/0.82 fof(c_0_803, plain, ![X2147, X2148]:((hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk125_2(X2147,X2148)))|hBOOL(hAPP_f1637334154l_bool(X2147,X2148))|~hBOOL(hAPP_f1637334154l_bool(X2147,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2148)))&((~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk124_2(X2147,X2148)),esk125_2(X2147,X2148)))|hBOOL(hAPP_f1637334154l_bool(X2147,X2148))|~hBOOL(hAPP_f1637334154l_bool(X2147,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2148)))&((hBOOL(hAPP_f1637334154l_bool(X2147,esk125_2(X2147,X2148)))|hBOOL(hAPP_f1637334154l_bool(X2147,X2148))|~hBOOL(hAPP_f1637334154l_bool(X2147,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2148)))&(~hBOOL(hAPP_f1637334154l_bool(X2147,insert_fun_nat_bool(esk124_2(X2147,X2148),esk125_2(X2147,X2148))))|hBOOL(hAPP_f1637334154l_bool(X2147,X2148))|~hBOOL(hAPP_f1637334154l_bool(X2147,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2148)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_563_finite__induct])])])])])). 0.56/0.82 fof(c_0_804, plain, ![X399, X400, X401]:(((~hBOOL(hAPP_nat_bool(X400,X401))|hBOOL(hAPP_nat_bool(insert_nat(X399,X400),X401)))&(X399!=X401|hBOOL(hAPP_nat_bool(insert_nat(X399,X400),X401))))&(~hBOOL(hAPP_nat_bool(insert_nat(X399,X400),X401))|(hBOOL(hAPP_nat_bool(X400,X401))|X399=X401))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_255_insert__code])])])). 0.56/0.82 fof(c_0_805, plain, ![X591, X592]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X592))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(X591,X592)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_27_finite_OinsertI])])])). 0.56/0.82 fof(c_0_806, plain, ![X112, X113, X114]:(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X112),insert_nat(X113,X114)))|(X112=X113|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X112),X114)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_225_insertE])])])). 0.56/0.82 fof(c_0_807, plain, ![X966, X967]:((is_pname(esk46_2(X966,X967))|hBOOL(hAPP_fun_a_bool_bool(p(X966),insert_a(mgt(X967),bot_bot_fun_a_bool)))|~hBOOL(wt(X967)))&((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk46_2(X966,X967)),u))|hBOOL(hAPP_fun_a_bool_bool(p(X966),insert_a(mgt(X967),bot_bot_fun_a_bool)))|~hBOOL(wt(X967)))&(~hBOOL(hAPP_fun_a_bool_bool(p(X966),insert_a(hAPP_pname_a(mgt_call,esk46_2(X966,X967)),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(p(X966),insert_a(mgt(X967),bot_bot_fun_a_bool)))|~hBOOL(wt(X967))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_373_assms_I3_J])])])])])). 0.56/0.82 fof(c_0_808, plain, ![X343, X344]:((~hBOOL(hAPP_nat_bool(X343,X344))|collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X344)),X343))=insert_nat(X344,bot_bot_fun_nat_bool))&(hBOOL(hAPP_nat_bool(X343,X344))|bot_bot_fun_nat_bool=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X344)),X343)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_476_Collect__conv__if2])])])). 0.56/0.82 fof(c_0_809, plain, ![X1468, X1469]:(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1468),X1469))|X1469=insert_nat(X1468,X1469)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_263_insert__absorb])])). 0.56/0.82 fof(c_0_810, plain, ![X1410, X1411]:(~hBOOL(hAPP_fun_a_bool_bool(p(insert_a(hAPP_pname_a(mgt_call,X1410),X1411)),insert_a(mgt(the_com(body(X1410))),bot_bot_fun_a_bool)))|hBOOL(hAPP_fun_a_bool_bool(p(X1411),insert_a(hAPP_pname_a(mgt_call,X1410),bot_bot_fun_a_bool)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_562_assms_I2_J])])])). 0.56/0.82 fof(c_0_811, plain, ![X507, X508, X509]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X508),X509))|insert_a(X507,bot_bot_fun_a_bool)=image_pname_a(cOMBK_a_pname(X507),X509)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_497_image__constant])])])). 0.56/0.82 fof(c_0_812, plain, ![X1657, X1658]:((X1658=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(X1657),X1658)=insert_a(X1657,bot_bot_fun_a_bool)|~is_fun_pname_bool(X1658))&(X1658!=bot_bo844097828e_bool|bot_bot_fun_a_bool=image_pname_a(cOMBK_a_pname(X1657),X1658)|~is_fun_pname_bool(X1658))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_498_image__constant__conv])])])])). 0.56/0.82 fof(c_0_813, plain, ![X1767, X1768]:((~hBOOL(hAPP_a_bool(X1767,X1768))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1768)),X1767))=insert_a(X1768,bot_bot_fun_a_bool))&(hBOOL(hAPP_a_bool(X1767,X1768))|bot_bot_fun_a_bool=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1768)),X1767)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_472_Collect__conv__if])])])). 0.56/0.82 fof(c_0_814, plain, ![X2263, X2264]:((hBOOL(hAPP_a_bool(X2263,X2264))|bot_bot_fun_a_bool=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X2264)),X2263)))&(~hBOOL(hAPP_a_bool(X2263,X2264))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X2264)),X2263))=insert_a(X2264,bot_bot_fun_a_bool))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_478_Collect__conv__if2])])])). 0.56/0.82 fof(c_0_815, plain, ![X1009, X1010]:(~is_fun_a_bool(X1009)|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1009),insert_a(X1010,bot_bot_fun_a_bool)))|(X1009=bot_bot_fun_a_bool|X1009=insert_a(X1010,bot_bot_fun_a_bool)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_496_subset__singletonD])])])). 0.56/0.82 fof(c_0_816, plain, ![X814, X815]:(~is_a(X815)|~is_a(X814)|(insert_a(X814,bot_bot_fun_a_bool)!=insert_a(X815,bot_bot_fun_a_bool)|X815=X814)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_448_singleton__inject])])])). 0.56/0.82 fof(c_0_817, plain, ![X575, X576]:insert_nat(X575,X576)!=bot_bot_fun_nat_bool, inference(variable_rename,[status(thm)],[fact_462_empty__not__insert])). 0.56/0.82 fof(c_0_818, plain, ![X674, X676, X677]:((hBOOL(hAPP_f54304608l_bool(X674,esk31_1(X674)))|bot_bo1701429464l_bool=collect_fun_nat_bool(X674))&(bot_bo1701429464l_bool!=collect_fun_nat_bool(X676)|~hBOOL(hAPP_f54304608l_bool(X676,X677)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_399_Collect__empty__eq])])])])])])). 0.56/0.82 fof(c_0_819, plain, ![X235, X236, X237]:((collect_nat(X235)!=bot_bot_fun_nat_bool|~hBOOL(hAPP_nat_bool(X235,X236)))&(hBOOL(hAPP_nat_bool(X237,esk5_1(X237)))|collect_nat(X237)=bot_bot_fun_nat_bool)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_403_Collect__empty__eq])])])])])])). 0.56/0.82 fof(c_0_820, negated_conjecture, ~(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), inference(assume_negation,[status(cth)],[conj_6])). 0.56/0.82 fof(c_0_821, plain, ![X542, X543, X544]:insert_pname(X542,insert_pname(X543,X544))=insert_pname(X543,insert_pname(X542,X544)), inference(variable_rename,[status(thm)],[fact_248_insert__commute])). 0.56/0.82 fof(c_0_822, plain, ![X928, X929, X930]:insert_nat(X928,insert_nat(X929,X930))=insert_nat(X929,insert_nat(X928,X930)), inference(variable_rename,[status(thm)],[fact_249_insert__commute])). 0.56/0.82 fof(c_0_823, plain, ![X161, X162, X163]:insert_a(X161,insert_a(X162,X163))=insert_a(X162,insert_a(X161,X163)), inference(variable_rename,[status(thm)],[fact_250_insert__commute])). 0.56/0.82 fof(c_0_824, plain, ![X556, X557]:insert_pname(X556,insert_pname(X556,X557))=insert_pname(X556,X557), inference(variable_rename,[status(thm)],[fact_245_insert__absorb2])). 0.56/0.82 fof(c_0_825, plain, ![X206, X207]:insert_nat(X206,insert_nat(X206,X207))=insert_nat(X206,X207), inference(variable_rename,[status(thm)],[fact_246_insert__absorb2])). 0.56/0.82 fof(c_0_826, plain, ![X2003, X2004, X2005]:image_a_nat(X2003,insert_a(X2004,X2005))=insert_nat(hAPP_a_nat(X2003,X2004),image_a_nat(X2003,X2005)), inference(variable_rename,[status(thm)],[fact_335_image__insert])). 0.56/0.82 fof(c_0_827, plain, ![X1516, X1517, X1518]:image_nat_a(X1516,insert_nat(X1517,X1518))=insert_a(hAPP_nat_a(X1516,X1517),image_nat_a(X1516,X1518)), inference(variable_rename,[status(thm)],[fact_336_image__insert])). 0.56/0.82 fof(c_0_828, plain, ![X2252, X2253]:insert_nat(X2252,collect_nat(X2253))=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2252))),X2253)), inference(variable_rename,[status(thm)],[fact_243_insert__Collect])). 0.56/0.82 fof(c_0_829, plain, ![X601, X602]:hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X601),insert_nat(X601,X602))), inference(variable_rename,[status(thm)],[fact_230_insertI1])). 0.56/0.82 fof(c_0_830, plain, ![X326, X327]:hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X326),insert_nat(X327,X326))), inference(variable_rename,[status(thm)],[fact_320_subset__insertI])). 0.56/0.82 fof(c_0_831, plain, ![X123]:insert_pname(X123,bot_bo844097828e_bool)=collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X123)), inference(variable_rename,[status(thm)],[fact_483_singleton__conv])). 0.56/0.82 fof(c_0_832, plain, ![X1676]:collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1676))=insert1325755072e_bool(X1676,bot_bo1649642514l_bool), inference(variable_rename,[status(thm)],[fact_486_singleton__conv])). 0.56/0.82 fof(c_0_833, plain, ![X1341]:collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1341))=insert_fun_a_bool(X1341,bot_bo1389914601l_bool), inference(variable_rename,[status(thm)],[fact_487_singleton__conv])). 0.56/0.82 fof(c_0_834, plain, ![X293, X294]:insert_a(X293,X294)=insert_a(X293,insert_a(X293,X294)), inference(variable_rename,[status(thm)],[fact_247_insert__absorb2])). 0.56/0.82 fof(c_0_835, plain, ![X1681]:insert_a(X1681,bot_bot_fun_a_bool)=collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1681)), inference(variable_rename,[status(thm)],[fact_484_singleton__conv])). 0.56/0.82 cnf(c_0_836, plain, (insert_pname(X3,insert_pname(X2,bot_bo844097828e_bool))=insert_pname(X1,insert_pname(X4,bot_bo844097828e_bool))|X1!=X2|X3!=X4|~is_pname(X3)|~is_pname(X2)|~is_pname(X1)|~is_pname(X4)), inference(split_conjunct,[status(thm)],[c_0_752])). 0.56/0.82 cnf(c_0_837, plain, (insert_pname(X1,X2)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))), inference(split_conjunct,[status(thm)],[c_0_753])). 0.56/0.82 cnf(c_0_838, plain, (insert_pname(X1,bot_bo844097828e_bool)=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_754])). 0.56/0.82 cnf(c_0_839, plain, (insert_pname(X1,collect_pname(X2))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2))), inference(split_conjunct,[status(thm)],[c_0_755])). 0.56/0.82 cnf(c_0_840, plain, (X1=X3|X1=X2|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X4)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_756, c_0_745]), c_0_745]), c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_841, plain, (hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)=hAPP_n1699378549t_bool(fequal_nat,X1)), inference(rw,[status(thm)],[c_0_757, c_0_758]), ['final']). 0.56/0.82 cnf(c_0_842, plain, (X2=X3|X1=X2|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X4)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_759, c_0_745]), c_0_745]), c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_843, plain, (hBOOL(hAPP_pname_bool(insert_pname(X2,X3),X1))|X1!=X2|~is_pname(X2)|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_760])). 0.56/0.82 cnf(c_0_844, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X2)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),bot_bo1701429464l_bool))=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2)),X1)|~hBOOL(hAPP_f54304608l_bool(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_761, c_0_733]), c_0_741])). 0.56/0.82 cnf(c_0_845, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2))=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_762, c_0_763]), c_0_763]), ['final']). 0.56/0.82 cnf(c_0_846, plain, (insert_a(X1,insert_a(X3,bot_bot_fun_a_bool))=insert_a(X4,insert_a(X2,bot_bot_fun_a_bool))|X1!=X2|X3!=X4|~is_a(X1)|~is_a(X3)|~is_a(X2)|~is_a(X4)), inference(split_conjunct,[status(thm)],[c_0_764])). 0.56/0.82 cnf(c_0_847, plain, (insert_a(X1,X2)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))), inference(split_conjunct,[status(thm)],[c_0_765])). 0.56/0.82 cnf(c_0_848, plain, (insert_a(X1,bot_bot_fun_a_bool)=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))), inference(split_conjunct,[status(thm)],[c_0_766])). 0.56/0.82 cnf(c_0_849, plain, (insert_a(X1,collect_a(X2))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),X2))), inference(split_conjunct,[status(thm)],[c_0_767])). 0.56/0.82 cnf(c_0_850, plain, (X1=X2|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_768, c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_851, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_769])). 0.56/0.82 cnf(c_0_852, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,bot_bo844097828e_bool)))|X1!=X2|~is_pname(X2)|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_770])). 0.56/0.82 cnf(c_0_853, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_771])). 0.56/0.82 cnf(c_0_854, plain, (X1=X2|~is_pname(X1)|~is_pname(X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),insert_pname(X1,bot_bo844097828e_bool)))), inference(split_conjunct,[status(thm)],[c_0_772])). 0.56/0.82 cnf(c_0_855, plain, (X2=X1|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),insert_nat(X2,bot_bot_fun_nat_bool)))), inference(split_conjunct,[status(thm)],[c_0_773])). 0.56/0.82 cnf(c_0_856, plain, (hBOOL(hAPP_a_bool(insert_a(X1,X3),X2))|X1!=X2|~is_a(X1)|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_774])). 0.56/0.82 fof(c_0_857, plain, ![X863, X864]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X864)),X863))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X863),X864)))&(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X863),X864))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X864)),X863)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_120_not__less__eq__eq])])])). 0.56/0.82 fof(c_0_858, plain, ![X649]:hAPP_n1699378549t_bool(ord_less_nat,X649)=hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X649)), inference(variable_rename,[status(thm)],[fact_670_less__eq__Suc__le__raw])). 0.56/0.82 cnf(c_0_859, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),insert_a(X1,bot_bot_fun_a_bool)))|X1!=X2|~is_a(X2)|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_775])). 0.56/0.82 cnf(c_0_860, plain, (X1=X2|X3=X1|insert_pname(X1,insert_pname(X4,bot_bo844097828e_bool))!=insert_pname(X3,insert_pname(X2,bot_bo844097828e_bool))|~is_pname(X1)|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)), inference(split_conjunct,[status(thm)],[c_0_752])). 0.56/0.82 cnf(c_0_861, plain, (X1=X2|X3=X2|insert_pname(X1,insert_pname(X3,bot_bo844097828e_bool))!=insert_pname(X4,insert_pname(X2,bot_bo844097828e_bool))|~is_pname(X1)|~is_pname(X3)|~is_pname(X4)|~is_pname(X2)), inference(split_conjunct,[status(thm)],[c_0_752])). 0.56/0.82 fof(c_0_862, plain, ![X1910, X1911, X1912]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1911),X1912))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1910,X1911)),insert_pname(X1910,X1912)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_331_insert__mono])])])). 0.56/0.82 cnf(c_0_863, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X3,X1)),insert_nat(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_776])). 0.56/0.82 fof(c_0_864, plain, ![X178, X179, X180]:((X178!=X180|insert_pname(X179,X180)=insert_pname(X179,X178)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X179),X178))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X179),X180))|(~is_fun_pname_bool(X178)|~is_fun_pname_bool(X180)))&(insert_pname(X179,X180)!=insert_pname(X179,X178)|X178=X180|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X179),X178))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X179),X180))|(~is_fun_pname_bool(X178)|~is_fun_pname_bool(X180)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_258_insert__ident])])])])). 0.56/0.82 fof(c_0_865, plain, ![X2222, X2223]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2223))|(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2222),X2223))|hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X2222,X2223))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X2223)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_70_card__insert__disjoint])])])). 0.56/0.82 cnf(c_0_866, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),X1))=insert1325755072e_bool(X2,bot_bo1649642514l_bool)|~hBOOL(hAPP_f1664156314l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_777])). 0.56/0.82 cnf(c_0_867, plain, (insert1325755072e_bool(X1,X2)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2)))), inference(split_conjunct,[status(thm)],[c_0_778])). 0.56/0.82 cnf(c_0_868, plain, (collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))=insert1325755072e_bool(X1,bot_bo1649642514l_bool)), inference(split_conjunct,[status(thm)],[c_0_779])). 0.56/0.82 fof(c_0_869, plain, ![X1999, X2000]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2000))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X2000)),hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X1999,X2000))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_57_card__insert__le])])])). 0.56/0.82 fof(c_0_870, plain, ![X787, X788]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X788))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X788)),hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X787,X788))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_55_card__insert__le])])). 0.56/0.82 fof(c_0_871, plain, ![X672, X673]:((hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X672),X673))|hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,X673))=hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X672,X673))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X673)))&(~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X672),X673))|hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X672,X673))=hAPP_f2009550088ol_nat(finite1306199131a_bool,X673)|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X673)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_62_card__insert__if])])])])). 0.56/0.82 fof(c_0_872, plain, ![X571, X572]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X572))|(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X571),X572))|hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X572))=hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X571,X572)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_67_card__insert__disjoint])])])). 0.56/0.82 cnf(c_0_873, plain, (X2=X3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|insert_nat(X1,X2)!=insert_nat(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_780])). 0.56/0.82 cnf(c_0_874, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),X1))=insert_pname(X2,bot_bo844097828e_bool)|~hBOOL(hAPP_pname_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_781])). 0.56/0.82 fof(c_0_875, plain, ![X328, X329, X330]:(((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X328),X330))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X328,X329)),X330)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X329),X330))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X328,X329)),X330))))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X328),X330))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X329),X330))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X328,X329)),X330)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_323_insert__subset])])])). 0.56/0.82 fof(c_0_876, plain, ![X1028, X1029]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1029))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1029)),hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X1028,X1029))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_56_card__insert__le])])). 0.56/0.82 cnf(c_0_877, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X2,X1))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_782])). 0.56/0.82 cnf(c_0_878, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X2,X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_783])). 0.56/0.82 cnf(c_0_879, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X1,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))), inference(split_conjunct,[status(thm)],[c_0_784])). 0.56/0.82 cnf(c_0_880, plain, (X1=bot_bo844097828e_bool|X1=insert_pname(X2,bot_bo844097828e_bool)|~is_fun_pname_bool(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,bot_bo844097828e_bool)))), inference(split_conjunct,[status(thm)],[c_0_785])). 0.56/0.82 cnf(c_0_881, plain, (insert_fun_a_bool(X2,bot_bo1389914601l_bool)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),X1))|~hBOOL(hAPP_fun_a_bool_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_786])). 0.56/0.82 cnf(c_0_882, plain, (insert_fun_a_bool(X1,X2)=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2)))), inference(split_conjunct,[status(thm)],[c_0_787])). 0.56/0.82 cnf(c_0_883, plain, (insert_fun_a_bool(X1,bot_bo1389914601l_bool)=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_788])). 0.56/0.82 cnf(c_0_884, plain, (insert1325755072e_bool(X2,bot_bo1649642514l_bool)=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X2)),X1))|~hBOOL(hAPP_f1664156314l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_789])). 0.56/0.82 fof(c_0_885, plain, ![X1551, X1552]:((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1551),X1552))|hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X1551,X1552))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X1552))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1552)))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1551),X1552))|hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X1551,X1552))=hAPP_f921600141ol_nat(finite_card_pname,X1552)|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1552)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_64_card__insert__if])])])])). 0.56/0.82 fof(c_0_886, plain, ![X1446, X1447]:((hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1446),X1447))|hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X1446,X1447))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X1447))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1447)))&(~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1446),X1447))|hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X1446,X1447))=hAPP_f55526627ol_nat(finite1340463720e_bool,X1447)|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1447)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_61_card__insert__if])])])])). 0.56/0.82 cnf(c_0_887, plain, (X1=insert_nat(X2,bot_bot_fun_nat_bool)|X1=bot_bot_fun_nat_bool|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),insert_nat(X2,bot_bot_fun_nat_bool)))), inference(split_conjunct,[status(thm)],[c_0_790])). 0.56/0.82 fof(c_0_888, plain, ![X1777, X1778, X1779]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1778),X1779))|image_pname_pname(X1777,X1779)=insert_pname(hAPP_pname_pname(X1777,X1778),image_pname_pname(X1777,X1779))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_338_insert__image])])])). 0.56/0.82 fof(c_0_889, plain, ![X707, X708, X709]:(((is_fun_a_bool(esk33_3(X707,X708,X709))|hBOOL(hAPP_f621171935l_bool(X707,X709))|~hBOOL(hAPP_f621171935l_bool(X707,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X709),X708))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X709)))&(is_fun949378684l_bool(esk34_3(X707,X708,X709))|hBOOL(hAPP_f621171935l_bool(X707,X709))|~hBOOL(hAPP_f621171935l_bool(X707,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X709),X708))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X709))))&((hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk34_3(X707,X708,X709)))|hBOOL(hAPP_f621171935l_bool(X707,X709))|~hBOOL(hAPP_f621171935l_bool(X707,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X709),X708))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X709)))&((hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk33_3(X707,X708,X709)),X708))|hBOOL(hAPP_f621171935l_bool(X707,X709))|~hBOOL(hAPP_f621171935l_bool(X707,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X709),X708))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X709)))&((~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk33_3(X707,X708,X709)),esk34_3(X707,X708,X709)))|hBOOL(hAPP_f621171935l_bool(X707,X709))|~hBOOL(hAPP_f621171935l_bool(X707,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X709),X708))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X709)))&((hBOOL(hAPP_f621171935l_bool(X707,esk34_3(X707,X708,X709)))|hBOOL(hAPP_f621171935l_bool(X707,X709))|~hBOOL(hAPP_f621171935l_bool(X707,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X709),X708))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X709)))&(~hBOOL(hAPP_f621171935l_bool(X707,insert_fun_a_bool(esk33_3(X707,X708,X709),esk34_3(X707,X708,X709))))|hBOOL(hAPP_f621171935l_bool(X707,X709))|~hBOOL(hAPP_f621171935l_bool(X707,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X709),X708))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X709)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_561_finite__subset__induct])])])])])). 0.56/0.82 fof(c_0_890, plain, ![X422, X423, X424]:(((is_fun1661590463l_bool(esk10_3(X422,X423,X424))|hBOOL(hAPP_f1935102916l_bool(X422,X424))|~hBOOL(hAPP_f1935102916l_bool(X422,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X424),X423))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X424)))&(is_fun_pname_bool(esk9_3(X422,X423,X424))|hBOOL(hAPP_f1935102916l_bool(X422,X424))|~hBOOL(hAPP_f1935102916l_bool(X422,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X424),X423))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X424))))&((hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk10_3(X422,X423,X424)))|hBOOL(hAPP_f1935102916l_bool(X422,X424))|~hBOOL(hAPP_f1935102916l_bool(X422,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X424),X423))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X424)))&((hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk9_3(X422,X423,X424)),X423))|hBOOL(hAPP_f1935102916l_bool(X422,X424))|~hBOOL(hAPP_f1935102916l_bool(X422,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X424),X423))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X424)))&((~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk9_3(X422,X423,X424)),esk10_3(X422,X423,X424)))|hBOOL(hAPP_f1935102916l_bool(X422,X424))|~hBOOL(hAPP_f1935102916l_bool(X422,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X424),X423))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X424)))&((hBOOL(hAPP_f1935102916l_bool(X422,esk10_3(X422,X423,X424)))|hBOOL(hAPP_f1935102916l_bool(X422,X424))|~hBOOL(hAPP_f1935102916l_bool(X422,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X424),X423))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X424)))&(~hBOOL(hAPP_f1935102916l_bool(X422,insert1325755072e_bool(esk9_3(X422,X423,X424),esk10_3(X422,X423,X424))))|hBOOL(hAPP_f1935102916l_bool(X422,X424))|~hBOOL(hAPP_f1935102916l_bool(X422,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X424),X423))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X424)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_560_finite__subset__induct])])])])])). 0.56/0.82 cnf(c_0_891, plain, (insert_pname(X2,bot_bo844097828e_bool)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2)),X1))|~hBOOL(hAPP_pname_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_791])). 0.56/0.82 cnf(c_0_892, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X1,X2))=hAPP_f696928925ol_nat(finite346522414t_bool,X2)|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_792])). 0.56/0.82 cnf(c_0_893, plain, (hAPP_f22106695ol_nat(finite_card_nat,X2)=hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X1,X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(split_conjunct,[status(thm)],[c_0_793])). 0.56/0.82 fof(c_0_894, plain, ![X1988, X1989, X1990]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1989),X1990))|insert_pname(hAPP_a_pname(X1988,X1989),image_a_pname(X1988,X1990))=image_a_pname(X1988,X1990)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_340_insert__image])])])). 0.56/0.82 fof(c_0_895, plain, ![X1278, X1279, X1280]:(((is_fun_pname_bool(esk68_3(X1278,X1279,X1280))|hBOOL(hAPP_f1664156314l_bool(X1278,X1280))|~hBOOL(hAPP_f1664156314l_bool(X1278,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1280),X1279))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1280)))&(is_pname(esk67_3(X1278,X1279,X1280))|hBOOL(hAPP_f1664156314l_bool(X1278,X1280))|~hBOOL(hAPP_f1664156314l_bool(X1278,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1280),X1279))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1280))))&((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk68_3(X1278,X1279,X1280)))|hBOOL(hAPP_f1664156314l_bool(X1278,X1280))|~hBOOL(hAPP_f1664156314l_bool(X1278,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1280),X1279))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1280)))&((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk67_3(X1278,X1279,X1280)),X1279))|hBOOL(hAPP_f1664156314l_bool(X1278,X1280))|~hBOOL(hAPP_f1664156314l_bool(X1278,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1280),X1279))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1280)))&((~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk67_3(X1278,X1279,X1280)),esk68_3(X1278,X1279,X1280)))|hBOOL(hAPP_f1664156314l_bool(X1278,X1280))|~hBOOL(hAPP_f1664156314l_bool(X1278,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1280),X1279))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1280)))&((hBOOL(hAPP_f1664156314l_bool(X1278,esk68_3(X1278,X1279,X1280)))|hBOOL(hAPP_f1664156314l_bool(X1278,X1280))|~hBOOL(hAPP_f1664156314l_bool(X1278,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1280),X1279))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1280)))&(~hBOOL(hAPP_f1664156314l_bool(X1278,insert_pname(esk67_3(X1278,X1279,X1280),esk68_3(X1278,X1279,X1280))))|hBOOL(hAPP_f1664156314l_bool(X1278,X1280))|~hBOOL(hAPP_f1664156314l_bool(X1278,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1280),X1279))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1280)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_557_finite__subset__induct])])])])])). 0.56/0.82 cnf(c_0_896, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X2)),X1))=insert_fun_a_bool(X2,bot_bo1389914601l_bool)|~hBOOL(hAPP_fun_a_bool_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_794])). 0.56/0.82 fof(c_0_897, plain, ![X1659, X1660, X1661]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1660),X1661))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1660),insert_pname(X1659,X1661)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_261_insertI2])])). 0.56/0.82 fof(c_0_898, plain, ![X348, X349, X350]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X349),X350))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X349),insert_pname(X348,X350)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_328_subset__insertI2])])). 0.56/0.82 cnf(c_0_899, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(X1,insert_fun_nat_bool(esk50_3(X1,X2,X3),esk51_3(X1,X2,X3))))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_795])). 0.56/0.82 cnf(c_0_900, plain, (hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(X1,insert_nat(esk131_3(X1,X2,X3),esk132_3(X1,X2,X3))))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_796])). 0.56/0.82 fof(c_0_901, plain, ![X732, X733, X734]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X734),X732))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X734),insert_pname(X733,X732)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X733),X734)))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X734),insert_pname(X733,X732)))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X734),X732))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X733),X734)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_326_subset__insert])])])])). 0.56/0.82 cnf(c_0_902, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),insert_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_797])). 0.56/0.82 fof(c_0_903, plain, ![X686, X687, X688]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X686),insert_pname(X687,X688)))|(X686=X687|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X686),X688)))|(~is_pname(X686)|~is_pname(X687)))&((X686!=X687|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X686),insert_pname(X687,X688)))|(~is_pname(X686)|~is_pname(X687)))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X686),X688))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X686),insert_pname(X687,X688)))|(~is_pname(X686)|~is_pname(X687))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_252_insert__iff])])])])). 0.56/0.82 cnf(c_0_904, plain, (X1=X2|~is_pname(X1)|~is_pname(X2)|insert_pname(X1,bot_bo844097828e_bool)!=insert_pname(X2,bot_bo844097828e_bool)), inference(split_conjunct,[status(thm)],[c_0_798])). 0.56/0.82 cnf(c_0_905, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,X2))=hAPP_f22106695ol_nat(finite_card_nat,insert_nat(X1,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(split_conjunct,[status(thm)],[c_0_793])). 0.56/0.82 cnf(c_0_906, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),insert_nat(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_799])). 0.56/0.82 cnf(c_0_907, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),insert_nat(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_800])). 0.56/0.82 cnf(c_0_908, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,X2))=hAPP_f696928925ol_nat(finite346522414t_bool,insert_fun_nat_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_792])). 0.56/0.82 cnf(c_0_909, plain, (insert_nat(hAPP_a_nat(X3,X1),image_a_nat(X3,X2))=image_a_nat(X3,X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_801])). 0.56/0.82 fof(c_0_910, plain, ![X1893, X1894]:(((is_fun_a_bool(esk104_2(X1893,X1894))|hBOOL(hAPP_f621171935l_bool(X1893,X1894))|~hBOOL(hAPP_f621171935l_bool(X1893,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1894)))&(is_fun949378684l_bool(esk105_2(X1893,X1894))|hBOOL(hAPP_f621171935l_bool(X1893,X1894))|~hBOOL(hAPP_f621171935l_bool(X1893,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1894))))&((hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk105_2(X1893,X1894)))|hBOOL(hAPP_f621171935l_bool(X1893,X1894))|~hBOOL(hAPP_f621171935l_bool(X1893,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1894)))&((~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk104_2(X1893,X1894)),esk105_2(X1893,X1894)))|hBOOL(hAPP_f621171935l_bool(X1893,X1894))|~hBOOL(hAPP_f621171935l_bool(X1893,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1894)))&((hBOOL(hAPP_f621171935l_bool(X1893,esk105_2(X1893,X1894)))|hBOOL(hAPP_f621171935l_bool(X1893,X1894))|~hBOOL(hAPP_f621171935l_bool(X1893,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1894)))&(~hBOOL(hAPP_f621171935l_bool(X1893,insert_fun_a_bool(esk104_2(X1893,X1894),esk105_2(X1893,X1894))))|hBOOL(hAPP_f621171935l_bool(X1893,X1894))|~hBOOL(hAPP_f621171935l_bool(X1893,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1894))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_565_finite__induct])])])])])). 0.56/0.82 fof(c_0_911, plain, ![X756, X757]:(((is_fun1661590463l_bool(esk37_2(X756,X757))|hBOOL(hAPP_f1935102916l_bool(X756,X757))|~hBOOL(hAPP_f1935102916l_bool(X756,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X757)))&(is_fun_pname_bool(esk36_2(X756,X757))|hBOOL(hAPP_f1935102916l_bool(X756,X757))|~hBOOL(hAPP_f1935102916l_bool(X756,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X757))))&((hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk37_2(X756,X757)))|hBOOL(hAPP_f1935102916l_bool(X756,X757))|~hBOOL(hAPP_f1935102916l_bool(X756,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X757)))&((~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk36_2(X756,X757)),esk37_2(X756,X757)))|hBOOL(hAPP_f1935102916l_bool(X756,X757))|~hBOOL(hAPP_f1935102916l_bool(X756,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X757)))&((hBOOL(hAPP_f1935102916l_bool(X756,esk37_2(X756,X757)))|hBOOL(hAPP_f1935102916l_bool(X756,X757))|~hBOOL(hAPP_f1935102916l_bool(X756,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X757)))&(~hBOOL(hAPP_f1935102916l_bool(X756,insert1325755072e_bool(esk36_2(X756,X757),esk37_2(X756,X757))))|hBOOL(hAPP_f1935102916l_bool(X756,X757))|~hBOOL(hAPP_f1935102916l_bool(X756,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X757))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_564_finite__induct])])])])])). 0.56/0.82 fof(c_0_912, plain, ![X442, X443]:((hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk12_2(X442,X443)),X443))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X442,X443)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X443)))&(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X443)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fequal_nat,X442)),hAPP_f22106695ol_nat(X442,esk12_2(X442,X443)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X442,X443)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X443)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_196_pigeonhole__infinite])])])])])). 0.56/0.82 cnf(c_0_913, plain, (insert_nat(hAPP_pname_nat(X3,X1),image_pname_nat(X3,X2))=image_pname_nat(X3,X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_802])). 0.56/0.82 fof(c_0_914, plain, ![X832, X833]:((~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X833)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fequal_pname,X832)),hAPP_f1291551745_pname(X832,esk40_2(X832,X833)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X832,X833)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X833)))&(hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk40_2(X832,X833)),X833))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X832,X833)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X833)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_190_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_915, plain, ![X598, X599]:((~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X599)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,X598)),hAPP_nat_fun_a_bool(X598,esk26_2(X598,X599)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X598,X599)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X599)))&(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk26_2(X598,X599)),X599))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X598,X599)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X599)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_202_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_916, plain, ![X2082, X2083]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk117_2(X2082,X2083)),X2083))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X2082,X2083)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2083)))&(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2083)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,X2082)),hAPP_n1699378549t_bool(X2082,esk117_2(X2082,X2083)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X2082,X2083)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2083)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_200_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_917, plain, ![X203, X204]:((~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X204)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fequal_a,X203)),hAPP_nat_a(X203,esk3_2(X203,X204)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X203,X204)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X204)))&(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk3_2(X203,X204)),X204))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X203,X204)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X204)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_199_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_918, plain, ![X1239, X1240]:(~is_fun_pname_bool(X1240)|(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1239),X1240))|X1240=insert_pname(X1239,X1240))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_264_insert__absorb])])])). 0.56/0.82 fof(c_0_919, plain, ![X530, X531]:((~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X531))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X530,X531))))&(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X530,X531)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X531)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_98_finite__insert])])). 0.56/0.82 fof(c_0_920, plain, ![X176, X177]:((~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X176,X177)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X177)))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X177))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X176,X177))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_100_finite__insert])])). 0.56/0.82 fof(c_0_921, plain, ![X1541, X1542]:((~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1542)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,X1541)),hAPP_n1025906991e_bool(X1541,esk83_2(X1541,X1542)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X1541,X1542)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1542)))&(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk83_2(X1541,X1542)),X1542))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X1541,X1542)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1542)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_201_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_922, plain, ![X2103, X2104]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk119_2(X2103,X2104)),X2104))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X2103,X2104)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2104)))&(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2104)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fequal_nat,X2103)),hAPP_nat_nat(X2103,esk119_2(X2103,X2104)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X2103,X2104)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2104)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_193_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_923, plain, ![X603, X604]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk27_2(X603,X604)),X604))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X603,X604)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X604)))&(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X604)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fequal_pname,X603)),hAPP_nat_pname(X603,esk27_2(X603,X604)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X603,X604)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X604)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_187_pigeonhole__infinite])])])])])). 0.56/0.82 cnf(c_0_924, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,insert_fun_nat_bool(esk124_2(X1,X2),esk125_2(X1,X2))))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_803])). 0.56/0.82 fof(c_0_925, plain, ![X1316, X1317, X1318]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1317),X1318))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1317),X1316))|hAPP_nat_nat(minus_minus_nat(X1318),X1316)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1318),X1317)),hAPP_nat_nat(minus_minus_nat(X1316),X1317)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_125_Nat_Odiff__diff__eq])])])). 0.56/0.82 fof(c_0_926, plain, ![X1470, X1471, X1472]:hAPP_nat_nat(minus_minus_nat(X1470),hAPP_nat_nat(plus_plus_nat(X1471),X1472))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1470),X1471)),X1472), inference(variable_rename,[status(thm)],[fact_581_diff__diff__left])). 0.56/0.82 fof(c_0_927, plain, ![X606, X607]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X607))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(X606,X607)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_25_finite_OinsertI])])). 0.56/0.82 fof(c_0_928, plain, ![X1407, X1408]:(~is_fun1661590463l_bool(X1408)|~is_fun_pname_bool(X1407)|is_fun1661590463l_bool(insert1325755072e_bool(X1407,X1408))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_Oinsert_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])])])). 0.56/0.82 fof(c_0_929, plain, ![X1172, X1173]:(~is_pname(X1172)|~is_fun_pname_bool(X1173)|is_fun_pname_bool(insert_pname(X1172,X1173))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oinsert_000tc__Com__Opname])])). 0.56/0.82 cnf(c_0_930, plain, (hBOOL(hAPP_nat_bool(insert_nat(X3,X1),X2))|~hBOOL(hAPP_nat_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_804])). 0.56/0.82 cnf(c_0_931, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,insert_fun_nat_bool(X2,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_771])). 0.56/0.82 fof(c_0_932, plain, ![X200, X201, X202]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(minus_minus_nat(X202),X201)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X200),X201)),X202))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X200),X201)),X202))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X200),hAPP_nat_nat(minus_minus_nat(X202),X201)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X201),X202)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_600_le__diff__conv2])])])])). 0.56/0.82 fof(c_0_933, plain, ![X1116, X1117, X1118]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1116),X1117)),X1118))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1117),X1118))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_592_add__leD2])])])). 0.56/0.82 cnf(c_0_934, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,insert_nat(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_805])). 0.56/0.82 cnf(c_0_935, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),insert_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_806])). 0.56/0.82 fof(c_0_936, plain, ![X1014, X1015]:(~is_fun949378684l_bool(X1015)|~is_fun_a_bool(X1014)|is_fun949378684l_bool(insert_fun_a_bool(X1014,X1015))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oinsert_000tc__fun_It__a_Mtc__HOL__Obool_J])])). 0.56/0.82 cnf(c_0_937, plain, (X1=X2|X3=X2|insert_a(X1,insert_a(X3,bot_bot_fun_a_bool))!=insert_a(X2,insert_a(X4,bot_bot_fun_a_bool))|~is_a(X1)|~is_a(X3)|~is_a(X4)|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_764])). 0.56/0.82 cnf(c_0_938, plain, (X1=X2|X3=X2|insert_a(X3,insert_a(X1,bot_bot_fun_a_bool))!=insert_a(X4,insert_a(X2,bot_bot_fun_a_bool))|~is_a(X3)|~is_a(X1)|~is_a(X2)|~is_a(X4)), inference(split_conjunct,[status(thm)],[c_0_764])). 0.56/0.82 fof(c_0_939, plain, ![X1073, X1074]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1074))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1074)),hAPP_fun_a_bool_nat(finite_card_a,insert_a(X1073,X1074))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_59_card__insert__le])])])). 0.56/0.82 cnf(c_0_940, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_784])). 0.56/0.82 cnf(c_0_941, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,insert_nat(X3,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_784])). 0.56/0.82 fof(c_0_942, plain, ![X791, X792]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk38_2(X791,X792)),hAPP_nat_nat(X792,esk38_2(X791,X792))))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,X792)),X791))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_566_finite__less__ub])])])])). 0.56/0.82 fof(c_0_943, plain, ![X1438, X1439, X1440]:((X1440!=X1438|insert_a(X1439,X1438)=insert_a(X1439,X1440)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1439),X1438))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1439),X1440))|(~is_fun_a_bool(X1438)|~is_fun_a_bool(X1440)))&(insert_a(X1439,X1438)!=insert_a(X1439,X1440)|X1440=X1438|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1439),X1438))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1439),X1440))|(~is_fun_a_bool(X1438)|~is_fun_a_bool(X1440)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_259_insert__ident])])])])). 0.56/0.82 fof(c_0_944, plain, ![X1153, X1154]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1154))|(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1153),X1154))|hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X1154))=hAPP_fun_a_bool_nat(finite_card_a,insert_a(X1153,X1154)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_71_card__insert__disjoint])])])). 0.56/0.82 fof(c_0_945, plain, ![X1667, X1668, X1669]:(((is_fun_a_bool(esk92_3(X1667,X1668,X1669))|hBOOL(hAPP_fun_a_bool_bool(X1667,X1669))|~hBOOL(hAPP_fun_a_bool_bool(X1667,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1669),X1668))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1669)))&(is_a(esk91_3(X1667,X1668,X1669))|hBOOL(hAPP_fun_a_bool_bool(X1667,X1669))|~hBOOL(hAPP_fun_a_bool_bool(X1667,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1669),X1668))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1669))))&((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk92_3(X1667,X1668,X1669)))|hBOOL(hAPP_fun_a_bool_bool(X1667,X1669))|~hBOOL(hAPP_fun_a_bool_bool(X1667,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1669),X1668))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1669)))&((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk91_3(X1667,X1668,X1669)),X1668))|hBOOL(hAPP_fun_a_bool_bool(X1667,X1669))|~hBOOL(hAPP_fun_a_bool_bool(X1667,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1669),X1668))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1669)))&((~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk91_3(X1667,X1668,X1669)),esk92_3(X1667,X1668,X1669)))|hBOOL(hAPP_fun_a_bool_bool(X1667,X1669))|~hBOOL(hAPP_fun_a_bool_bool(X1667,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1669),X1668))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1669)))&((hBOOL(hAPP_fun_a_bool_bool(X1667,esk92_3(X1667,X1668,X1669)))|hBOOL(hAPP_fun_a_bool_bool(X1667,X1669))|~hBOOL(hAPP_fun_a_bool_bool(X1667,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1669),X1668))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1669)))&(~hBOOL(hAPP_fun_a_bool_bool(X1667,insert_a(esk91_3(X1667,X1668,X1669),esk92_3(X1667,X1668,X1669))))|hBOOL(hAPP_fun_a_bool_bool(X1667,X1669))|~hBOOL(hAPP_fun_a_bool_bool(X1667,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1669),X1668))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1669)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_558_finite__subset__induct])])])])])). 0.56/0.82 cnf(c_0_946, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk46_2(X1,X2)),u))|hBOOL(hAPP_fun_a_bool_bool(p(X1),insert_a(mgt(X2),bot_bot_fun_a_bool)))|~hBOOL(wt(X2))), inference(split_conjunct,[status(thm)],[c_0_807])). 0.56/0.82 fof(c_0_947, plain, ![X1402, X1403, X1404]:(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1403),X1404))|insert_a(hAPP_nat_a(X1402,X1403),image_nat_a(X1402,X1404))=image_nat_a(X1402,X1404)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_342_insert__image])])). 0.56/0.82 cnf(c_0_948, plain, (hBOOL(hAPP_nat_bool(X2,X3))|X1=X3|~hBOOL(hAPP_nat_bool(insert_nat(X1,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_804])). 0.56/0.82 cnf(c_0_949, plain, (collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X2)),X1))=insert_nat(X2,bot_bot_fun_nat_bool)|~hBOOL(hAPP_nat_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_808])). 0.56/0.82 cnf(c_0_950, plain, (X2=insert_nat(X1,X2)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_809])). 0.56/0.82 cnf(c_0_951, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X2),insert_a(hAPP_pname_a(mgt_call,X1),bot_bot_fun_a_bool)))|~hBOOL(hAPP_fun_a_bool_bool(p(insert_a(hAPP_pname_a(mgt_call,X1),X2)),insert_a(mgt(the_com(body(X1))),bot_bot_fun_a_bool)))), inference(split_conjunct,[status(thm)],[c_0_810])). 0.56/0.82 cnf(c_0_952, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),insert_a(mgt(X2),bot_bot_fun_a_bool)))|~hBOOL(hAPP_fun_a_bool_bool(p(X1),insert_a(hAPP_pname_a(mgt_call,esk46_2(X1,X2)),bot_bot_fun_a_bool)))|~hBOOL(wt(X2))), inference(split_conjunct,[status(thm)],[c_0_807])). 0.56/0.82 fof(c_0_953, plain, ![X772, X773]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X772)),X773))|hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X772)),X773)))&(~hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X772)),X773))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X772)),X773)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_570_less__eq__nat_Osimps_I2_J])])). 0.56/0.82 cnf(c_0_954, plain, (is_pname(esk46_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(p(X1),insert_a(mgt(X2),bot_bot_fun_a_bool)))|~hBOOL(wt(X2))), inference(split_conjunct,[status(thm)],[c_0_807])). 0.56/0.82 fof(c_0_955, plain, ![X625, X626]:((~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X626))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(X625,X626))))&(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(X625,X626)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X626)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_99_finite__insert])])). 0.56/0.82 cnf(c_0_956, plain, (insert_a(X3,bot_bot_fun_a_bool)=image_pname_a(cOMBK_a_pname(X3),X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_811])). 0.56/0.82 fof(c_0_957, plain, ![X1677, X1678]:((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1677),X1678))|hAPP_fun_a_bool_nat(finite_card_a,insert_a(X1677,X1678))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X1678))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1678)))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1677),X1678))|hAPP_fun_a_bool_nat(finite_card_a,insert_a(X1677,X1678))=hAPP_fun_a_bool_nat(finite_card_a,X1678)|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1678)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_65_card__insert__if])])])])). 0.56/0.82 fof(c_0_958, plain, ![X166, X167]:((~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X166)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X167)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X166),X167)))))&((hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X166)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X166),X167)))))&(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X167)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X166),X167))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_92_finite__Collect__disjI])])])). 0.56/0.82 fof(c_0_959, plain, ![X522, X523]:((~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X523)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X522)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X522),X523)))))&((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X523)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X522),X523)))))&(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X522)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X522),X523))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_96_finite__Collect__disjI])])])). 0.56/0.82 fof(c_0_960, plain, ![X419, X420, X421]:((~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X419),insert_a(X420,X421)))|(X420=X419|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X419),X421)))|(~is_a(X419)|~is_a(X420)))&((X420!=X419|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X419),insert_a(X420,X421)))|(~is_a(X419)|~is_a(X420)))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X419),X421))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X419),insert_a(X420,X421)))|(~is_a(X419)|~is_a(X420))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_253_insert__iff])])])])). 0.56/0.82 fof(c_0_961, plain, ![X1209, X1210, X1211]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1210),X1211))|insert_a(hAPP_pname_a(X1209,X1210),image_pname_a(X1209,X1211))=image_pname_a(X1209,X1211)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_343_insert__image])])])). 0.56/0.82 fof(c_0_962, plain, ![X808, X809]:((~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X809)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X809),X808)))))&(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X808)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X809),X808)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_73_finite__Collect__conjI])])])])). 0.56/0.82 fof(c_0_963, plain, ![X1672, X1673]:((~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X1673)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1673),X1672)))))&(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X1672)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1673),X1672)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_77_finite__Collect__conjI])])])). 0.56/0.82 fof(c_0_964, plain, ![X1513, X1514]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1513)),X1514))|X1514=hAPP_nat_nat(suc,esk82_2(X1513,X1514))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_229_Suc__le__D])])])). 0.56/0.82 cnf(c_0_965, plain, (X1=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(X2),X1)=insert_a(X2,bot_bot_fun_a_bool)|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_812])). 0.56/0.82 cnf(c_0_966, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),X1))=insert_a(X2,bot_bot_fun_a_bool)|~hBOOL(hAPP_a_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_813])). 0.56/0.82 cnf(c_0_967, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X2)),X1))=insert_a(X2,bot_bot_fun_a_bool)|~hBOOL(hAPP_a_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_814])). 0.56/0.82 cnf(c_0_968, plain, (X1=bot_bot_fun_a_bool|X1=insert_a(X2,bot_bot_fun_a_bool)|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),insert_a(X2,bot_bot_fun_a_bool)))), inference(split_conjunct,[status(thm)],[c_0_815])). 0.56/0.82 fof(c_0_969, plain, ![X1157]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1157))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),X1157))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_6_finite__Collect__subsets])])])). 0.56/0.82 fof(c_0_970, plain, ![X1045, X1046, X1047]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1046),X1047))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1045,X1046)),insert_a(X1045,X1047)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_333_insert__mono])])])). 0.56/0.82 cnf(c_0_971, plain, (X1=X2|~is_a(X1)|~is_a(X2)|insert_a(X2,bot_bot_fun_a_bool)!=insert_a(X1,bot_bot_fun_a_bool)), inference(split_conjunct,[status(thm)],[c_0_816])). 0.56/0.82 fof(c_0_972, plain, ![X1215, X1216, X1217]:(((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1215),X1217))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1215,X1216)),X1217)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1216),X1217))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1215,X1216)),X1217))))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1215),X1217))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1216),X1217))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1215,X1216)),X1217)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_324_insert__subset])])])). 0.56/0.82 fof(c_0_973, plain, ![X434, X435, X436]:((~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X436),insert_a(X435,X434)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X436),X434))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X435),X436)))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X436),X434))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X436),insert_a(X435,X434)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X435),X436)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_327_subset__insert])])])])). 0.56/0.82 fof(c_0_974, plain, ![X641, X642, X643]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X642),X643))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X642),insert_a(X641,X643)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_262_insertI2])])). 0.56/0.82 cnf(c_0_975, plain, (X2=X1|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X2,bot_bot_fun_a_bool)))|~is_a(X1)|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_775])). 0.56/0.82 fof(c_0_976, plain, ![X135, X136]:(((zero_zero_nat!=X135|X136!=hAPP_nat_nat(suc,zero_zero_nat)|hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(X135),X136))&(hAPP_nat_nat(suc,zero_zero_nat)!=X135|zero_zero_nat!=X136|hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(X135),X136)))&(((hAPP_nat_nat(suc,zero_zero_nat)=X135|zero_zero_nat=X135|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X135),X136))&(zero_zero_nat=X136|zero_zero_nat=X135|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X135),X136)))&((hAPP_nat_nat(suc,zero_zero_nat)=X135|X136=hAPP_nat_nat(suc,zero_zero_nat)|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X135),X136))&(zero_zero_nat=X136|X136=hAPP_nat_nat(suc,zero_zero_nat)|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X135),X136))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_681_add__is__1])])])). 0.56/0.82 fof(c_0_977, plain, ![X623, X624]:((((X624=zero_zero_nat|hAPP_nat_nat(suc,zero_zero_nat)=X624|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X623),X624))&(hAPP_nat_nat(suc,zero_zero_nat)=X623|hAPP_nat_nat(suc,zero_zero_nat)=X624|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X623),X624)))&((X624=zero_zero_nat|zero_zero_nat=X623|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X623),X624))&(hAPP_nat_nat(suc,zero_zero_nat)=X623|zero_zero_nat=X623|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X623),X624))))&((hAPP_nat_nat(suc,zero_zero_nat)!=X624|zero_zero_nat!=X623|hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(X623),X624))&(X624!=zero_zero_nat|hAPP_nat_nat(suc,zero_zero_nat)!=X623|hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(plus_plus_nat(X623),X624)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_682_one__is__add])])])). 0.56/0.82 fof(c_0_978, plain, ![X548, X549]:(~is_fun_a_bool(X549)|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X548),X549))|X549=insert_a(X548,X549))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_265_insert__absorb])])])). 0.56/0.82 fof(c_0_979, hypothesis, ![X1939, X1940]:(~is_fun_a_bool(X1940)|~is_a(X1939)|is_fun_a_bool(insert_a(X1939,X1940))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_Oinsert_000t__a])])])). 0.56/0.82 fof(c_0_980, plain, ![X2164, X2165, X2166]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2165),X2166))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2165),insert_a(X2164,X2166)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_330_subset__insertI2])])). 0.56/0.82 fof(c_0_981, plain, ![X2190, X2192, X2193]:((hBOOL(hAPP_f54304608l_bool(X2190,esk128_1(X2190)))|bot_bo1701429464l_bool=collect_fun_nat_bool(X2190))&(bot_bo1701429464l_bool!=collect_fun_nat_bool(X2192)|~hBOOL(hAPP_f54304608l_bool(X2192,X2193)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_408_empty__Collect__eq])])])])])])). 0.56/0.82 fof(c_0_982, plain, ![X1853, X1855, X1856]:((hBOOL(hAPP_nat_bool(X1853,esk100_1(X1853)))|collect_nat(X1853)=bot_bot_fun_nat_bool)&(collect_nat(X1855)!=bot_bot_fun_nat_bool|~hBOOL(hAPP_nat_bool(X1855,X1856)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_412_empty__Collect__eq])])])])])])). 0.56/0.82 fof(c_0_983, plain, ![X319, X320]:((~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X320))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(X319,X320))))&(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(X319,X320)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X320)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_102_finite__insert])])). 0.56/0.82 fof(c_0_984, plain, ![X1465]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1465),bot_bot_nat))|X1465=bot_bot_nat), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_435_le__bot])])])). 0.56/0.82 cnf(c_0_985, plain, (insert_nat(X1,X2)!=bot_bot_fun_nat_bool), inference(split_conjunct,[status(thm)],[c_0_817])). 0.56/0.82 cnf(c_0_986, plain, (bot_bo1701429464l_bool!=collect_fun_nat_bool(X1)|~hBOOL(hAPP_f54304608l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_818])). 0.56/0.82 cnf(c_0_987, plain, (collect_nat(X1)!=bot_bot_fun_nat_bool|~hBOOL(hAPP_nat_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_819])). 0.56/0.82 fof(c_0_988, plain, ![X1021, X1022]:bot_bo844097828e_bool!=insert_pname(X1021,X1022), inference(variable_rename,[status(thm)],[fact_458_insert__not__empty])). 0.56/0.82 fof(c_0_989, plain, ![X299, X300]:bot_bot_fun_a_bool!=insert_a(X299,X300), inference(variable_rename,[status(thm)],[fact_463_empty__not__insert])). 0.56/0.82 fof(c_0_990, negated_conjecture, ~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))), inference(fof_simplification,[status(thm)],[c_0_820])). 0.56/0.82 cnf(c_0_991, plain, (insert_nat(X1,insert_nat(X4,bot_bot_fun_nat_bool))=insert_nat(X3,insert_nat(X2,bot_bot_fun_nat_bool))|X1!=X2|X3!=X4), inference(split_conjunct,[status(thm)],[c_0_743])). 0.56/0.82 cnf(c_0_992, plain, (insert_pname(X1,insert_pname(X2,X3))=insert_pname(X2,insert_pname(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_821])). 0.56/0.82 cnf(c_0_993, plain, (insert_nat(X1,insert_nat(X2,X3))=insert_nat(X2,insert_nat(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_822])). 0.56/0.82 cnf(c_0_994, plain, (insert_a(X1,insert_a(X2,X3))=insert_a(X2,insert_a(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_823])). 0.56/0.82 cnf(c_0_995, plain, (hBOOL(hAPP_nat_bool(insert_nat(X1,X3),X2))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_804])). 0.56/0.82 fof(c_0_996, plain, ![X1303, X1304]:(X1304!=X1303|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X1303),X1304))), inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T])). 0.56/0.82 fof(c_0_997, plain, ![X288, X289]:(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X288),X289))|X288!=X289), inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T])). 0.56/0.82 fof(c_0_998, plain, ![X1007, X1008]:(hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1007),X1008))|X1007!=X1008), inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__Com__Opname_T])). 0.56/0.82 fof(c_0_999, plain, ![X941, X942]:(X941!=X942|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X941),X942))), inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__Nat__Onat_T])). 0.56/0.82 fof(c_0_1000, plain, ![X1376, X1377]:(X1376!=X1377|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1376),X1377))), inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T])). 0.56/0.82 fof(c_0_1001, plain, ![X995, X996]:(X995!=X996|hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X995),X996))), inference(variable_rename,[status(thm)],[help_fequal_2_1_fequal_000t__a_T])). 0.56/0.82 cnf(c_0_1002, plain, (insert_pname(X1,insert_pname(X1,X2))=insert_pname(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_824])). 0.56/0.82 cnf(c_0_1003, plain, (insert_nat(X1,insert_nat(X1,X2))=insert_nat(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_825])). 0.56/0.82 fof(c_0_1004, plain, ![X462, X463, X464]:image_a_pname(X462,insert_a(X463,X464))=insert_pname(hAPP_a_pname(X462,X463),image_a_pname(X462,X464)), inference(variable_rename,[status(thm)],[fact_334_image__insert])). 0.56/0.82 cnf(c_0_1005, plain, (image_a_nat(X1,insert_a(X2,X3))=insert_nat(hAPP_a_nat(X1,X2),image_a_nat(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_826])). 0.56/0.82 fof(c_0_1006, plain, ![X933, X934]:insert1325755072e_bool(X933,collec1974731493e_bool(X934))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X933))),X934)), inference(variable_rename,[status(thm)],[fact_241_insert__Collect])). 0.56/0.82 fof(c_0_1007, plain, ![X989, X990]:collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X989))),X990))=insert_fun_a_bool(X989,collect_fun_a_bool(X990)), inference(variable_rename,[status(thm)],[fact_242_insert__Collect])). 0.56/0.82 cnf(c_0_1008, plain, (image_nat_a(X1,insert_nat(X2,X3))=insert_a(hAPP_nat_a(X1,X2),image_nat_a(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_827])). 0.56/0.82 fof(c_0_1009, plain, ![X222, X223]:hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X222),insert_pname(X222,X223))), inference(variable_rename,[status(thm)],[fact_231_insertI1])). 0.56/0.82 fof(c_0_1010, plain, ![X1075, X1076]:hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1075),insert_pname(X1076,X1075))), inference(variable_rename,[status(thm)],[fact_319_subset__insertI])). 0.56/0.82 cnf(c_0_1011, plain, (insert_nat(X1,collect_nat(X2))=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1))),X2))), inference(split_conjunct,[status(thm)],[c_0_828])). 0.56/0.82 fof(c_0_1012, plain, ![X1528, X1529, X1530]:insert_a(hAPP_pname_a(X1528,X1529),image_pname_a(X1528,X1530))=image_pname_a(X1528,insert_pname(X1529,X1530)), inference(variable_rename,[status(thm)],[fact_337_image__insert])). 0.56/0.82 cnf(c_0_1013, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),insert_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_829])). 0.56/0.82 cnf(c_0_1014, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),insert_nat(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_830])). 0.56/0.82 cnf(c_0_1015, plain, (insert_pname(X1,bot_bo844097828e_bool)=collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))), inference(split_conjunct,[status(thm)],[c_0_831])). 0.56/0.82 cnf(c_0_1016, plain, (collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))=insert1325755072e_bool(X1,bot_bo1649642514l_bool)), inference(split_conjunct,[status(thm)],[c_0_832])). 0.56/0.82 cnf(c_0_1017, plain, (collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))=insert_fun_a_bool(X1,bot_bo1389914601l_bool)), inference(split_conjunct,[status(thm)],[c_0_833])). 0.56/0.82 fof(c_0_1018, plain, ![X627, X628]:hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X627),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X628))))), inference(variable_rename,[status(thm)],[fact_654_finite__M__bounded__by__nat])). 0.56/0.82 fof(c_0_1019, plain, ![X2064, X2065]:hAPP_nat_nat(plus_plus_nat(X2064),hAPP_nat_nat(suc,X2065))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,X2064)),X2065), inference(variable_rename,[status(thm)],[fact_573_add__Suc__shift])). 0.56/0.82 fof(c_0_1020, plain, ![X1230, X1231]:hAPP_nat_nat(plus_plus_nat(X1230),hAPP_nat_nat(suc,X1231))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1230),X1231)), inference(variable_rename,[status(thm)],[fact_571_add__Suc__right])). 0.56/0.82 cnf(c_0_1021, plain, (insert_a(X1,X2)=insert_a(X1,insert_a(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_834])). 0.56/0.82 fof(c_0_1022, plain, ![X1566]:hAPP_nat_nat(suc,X1566)=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1566))), inference(variable_rename,[status(thm)],[fact_80_card__Collect__le__nat])). 0.56/0.82 fof(c_0_1023, plain, ![X1577]:hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1577)))), inference(variable_rename,[status(thm)],[fact_614_finite__Collect__less__nat])). 0.56/0.82 fof(c_0_1024, plain, ![X818]:hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X818)))), inference(variable_rename,[status(thm)],[fact_79_finite__Collect__le__nat])). 0.56/0.82 fof(c_0_1025, plain, ![X692]:hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X692)))=X692, inference(variable_rename,[status(thm)],[fact_653_card__Collect__less__nat])). 0.56/0.82 fof(c_0_1026, plain, ![X1763, X1764]:hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1763),insert_a(X1763,X1764))), inference(variable_rename,[status(thm)],[fact_232_insertI1])). 0.56/0.82 fof(c_0_1027, plain, ![X883, X884]:hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X883),insert_a(X884,X883))), inference(variable_rename,[status(thm)],[fact_321_subset__insertI])). 0.56/0.82 cnf(c_0_1028, plain, (insert_a(X1,bot_bot_fun_a_bool)=collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))), inference(split_conjunct,[status(thm)],[c_0_835])). 0.56/0.82 cnf(c_0_1029, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))|X3!=X4|X1!=X2|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_836, c_0_837]), c_0_837]), c_0_837]), c_0_837])). 0.56/0.82 cnf(c_0_1030, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))), inference(rw,[status(thm)],[c_0_838, c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1031, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(X2))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2))), inference(rw,[status(thm)],[c_0_839, c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1032, plain, (X1=X2|X1=X3|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X2)))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X4)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_840, c_0_841]), c_0_758]), c_0_841]), c_0_841])). 0.56/0.82 cnf(c_0_1033, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))=hAPP_n1699378549t_bool(fequal_nat,X1)), inference(rw,[status(thm)],[c_0_758, c_0_841]), ['final']). 0.56/0.82 cnf(c_0_1034, plain, (X1=X2|X2=X3|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X4)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_842, c_0_841]), c_0_841]), c_0_841]), c_0_841])). 0.56/0.82 cnf(c_0_1035, plain, (hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))),X1))|X1!=X2|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[c_0_843, c_0_837])). 0.56/0.82 cnf(c_0_1036, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),bot_bo1701429464l_bool))=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),X2)|~hBOOL(hAPP_f54304608l_bool(X2,X1))), inference(rw,[status(thm)],[c_0_844, c_0_763])). 0.56/0.82 cnf(c_0_1037, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),bot_bo1701429464l_bool)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_750, c_0_763]), c_0_845]), ['final']). 0.56/0.82 cnf(c_0_1038, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool))))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X4)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool))))))|X3!=X4|X1!=X2|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_846, c_0_847]), c_0_847]), c_0_847]), c_0_847])). 0.56/0.82 cnf(c_0_1039, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))), inference(rw,[status(thm)],[c_0_848, c_0_847]), ['final']). 0.56/0.82 cnf(c_0_1040, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(X2))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),X2))), inference(rw,[status(thm)],[c_0_849, c_0_847]), ['final']). 0.56/0.82 cnf(c_0_1041, plain, (X1=X2|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))!=hAPP_n1699378549t_bool(fequal_nat,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_850, c_0_841]), c_0_758])). 0.56/0.82 cnf(c_0_1042, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))), inference(rw,[status(thm)],[c_0_851, c_0_745])). 0.56/0.82 cnf(c_0_1043, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))|X1!=X2|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[c_0_852, c_0_837])). 0.56/0.82 cnf(c_0_1044, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2))))), inference(rw,[status(thm)],[c_0_853, c_0_741])). 0.56/0.82 cnf(c_0_1045, plain, (X1=X2|~is_pname(X2)|~is_pname(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))), inference(rw,[status(thm)],[c_0_854, c_0_837])). 0.56/0.82 cnf(c_0_1046, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))), inference(rw,[status(thm)],[c_0_855, c_0_745])). 0.56/0.82 cnf(c_0_1047, plain, (hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))),X2))|X1!=X2|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[c_0_856, c_0_847])). 0.56/0.82 cnf(c_0_1048, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_857])). 0.56/0.82 cnf(c_0_1049, plain, (hAPP_n1699378549t_bool(ord_less_nat,X1)=hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1))), inference(split_conjunct,[status(thm)],[c_0_858]), ['final']). 0.56/0.82 cnf(c_0_1050, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))|X1!=X2|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[c_0_859, c_0_847])). 0.56/0.82 cnf(c_0_1051, plain, (X1=X3|X1=X2|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_860, c_0_837]), c_0_837]), c_0_837]), c_0_837])). 0.56/0.82 cnf(c_0_1052, plain, (X2=X3|X1=X2|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool))))))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_861, c_0_837]), c_0_837]), c_0_837]), c_0_837])). 0.56/0.82 cnf(c_0_1053, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X3,X1)),insert_pname(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_862])). 0.56/0.82 cnf(c_0_1054, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_863, c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_1055, plain, (X3=X2|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|insert_pname(X1,X2)!=insert_pname(X1,X3)|~is_fun_pname_bool(X3)|~is_fun_pname_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_864])). 0.56/0.82 cnf(c_0_1056, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))|hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X2,X1))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_865])). 0.56/0.82 cnf(c_0_1057, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),X1))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))|~hBOOL(hAPP_f1664156314l_bool(X1,X2))), inference(rw,[status(thm)],[c_0_866, c_0_867])). 0.56/0.82 cnf(c_0_1058, plain, (collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))), inference(rw,[status(thm)],[c_0_868, c_0_867]), ['final']). 0.56/0.82 cnf(c_0_1059, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X2,X1))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_869])). 0.56/0.82 cnf(c_0_1060, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X2,X1))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_870])). 0.56/0.82 cnf(c_0_1061, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))|hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2))=hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_871])). 0.56/0.82 cnf(c_0_1062, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))|hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X1))=hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X2,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_872])). 0.56/0.82 cnf(c_0_1063, plain, (X2=X3|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_873, c_0_745]), c_0_745])). 0.56/0.82 fof(c_0_1064, plain, ![X1092, X1093, X1094]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk55_3(X1092,X1093,X1094)),esk56_3(X1092,X1093,X1094)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1094,X1092)),X1093)),hAPP_nat_nat(X1094,hAPP_nat_nat(plus_plus_nat(X1092),X1093)))))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1094,esk55_3(X1092,X1093,X1094))),hAPP_nat_nat(X1094,esk56_3(X1092,X1093,X1094))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1094,X1092)),X1093)),hAPP_nat_nat(X1094,hAPP_nat_nat(plus_plus_nat(X1092),X1093)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_671_mono__nat__linear__lb])])])])])). 0.56/0.82 cnf(c_0_1065, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),X1))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))|~hBOOL(hAPP_pname_bool(X1,X2))), inference(rw,[status(thm)],[c_0_874, c_0_837])). 0.56/0.82 cnf(c_0_1066, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))), inference(split_conjunct,[status(thm)],[c_0_875])). 0.56/0.82 cnf(c_0_1067, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X2,X1))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_876])). 0.56/0.82 cnf(c_0_1068, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(rw,[status(thm)],[c_0_877, c_0_745])). 0.56/0.82 fof(c_0_1069, plain, ![X517, X518, X519]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk20_3(X517,X518,X519)),esk21_3(X517,X518,X519)))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X517),X518))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X519,X517)),hAPP_nat_nat(X519,X518)))))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X519,esk20_3(X517,X518,X519))),hAPP_nat_nat(X519,esk21_3(X517,X518,X519))))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X517),X518))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X519,X517)),hAPP_nat_nat(X519,X518)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_675_less__mono__imp__le__mono])])])])). 0.56/0.82 cnf(c_0_1070, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X2)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(rw,[status(thm)],[c_0_878, c_0_741])). 0.56/0.82 cnf(c_0_1071, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(rw,[status(thm)],[c_0_879, c_0_745])). 0.56/0.82 cnf(c_0_1072, plain, (X1=bot_bo844097828e_bool|X1=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))|~is_fun_pname_bool(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_880, c_0_837]), c_0_837])). 0.56/0.82 cnf(c_0_1073, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),bot_bo1389914601l_bool)))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),X1))|~hBOOL(hAPP_fun_a_bool_bool(X1,X2))), inference(rw,[status(thm)],[c_0_881, c_0_882])). 0.56/0.82 cnf(c_0_1074, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),bot_bo1389914601l_bool)))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))), inference(rw,[status(thm)],[c_0_883, c_0_882]), ['final']). 0.56/0.82 cnf(c_0_1075, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X2)),X1))|~hBOOL(hAPP_f1664156314l_bool(X1,X2))), inference(rw,[status(thm)],[c_0_884, c_0_867])). 0.56/0.82 cnf(c_0_1076, plain, (hAPP_f921600141ol_nat(finite_card_pname,insert_pname(X1,X2))=hAPP_f921600141ol_nat(finite_card_pname,X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))), inference(split_conjunct,[status(thm)],[c_0_885])). 0.56/0.82 cnf(c_0_1077, plain, (hAPP_f55526627ol_nat(finite1340463720e_bool,insert1325755072e_bool(X1,X2))=hAPP_f55526627ol_nat(finite1340463720e_bool,X2)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_886])). 0.56/0.82 cnf(c_0_1078, plain, (X1=bot_bot_fun_nat_bool|X1=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_887, c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_1079, plain, (image_pname_pname(X3,X2)=insert_pname(hAPP_pname_pname(X3,X1),image_pname_pname(X3,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_888])). 0.56/0.82 cnf(c_0_1080, plain, (hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(X1,insert_fun_a_bool(esk33_3(X1,X2,X3),esk34_3(X1,X2,X3))))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_889])). 0.56/0.82 cnf(c_0_1081, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(X1,insert1325755072e_bool(esk9_3(X1,X2,X3),esk10_3(X1,X2,X3))))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_890])). 0.56/0.82 cnf(c_0_1082, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2)),X1))|~hBOOL(hAPP_pname_bool(X1,X2))), inference(rw,[status(thm)],[c_0_891, c_0_837])). 0.56/0.82 cnf(c_0_1083, plain, (hAPP_f2009550088ol_nat(finite1306199131a_bool,insert_fun_a_bool(X1,X2))=hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_871])). 0.56/0.82 cnf(c_0_1084, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2)))=hAPP_f696928925ol_nat(finite346522414t_bool,X2)|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))), inference(rw,[status(thm)],[c_0_892, c_0_741])). 0.56/0.82 cnf(c_0_1085, plain, (hAPP_f22106695ol_nat(finite_card_nat,X2)=hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(rw,[status(thm)],[c_0_893, c_0_745])). 0.56/0.82 cnf(c_0_1086, plain, (insert_pname(hAPP_a_pname(X3,X1),image_a_pname(X3,X2))=image_a_pname(X3,X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_894])). 0.56/0.82 cnf(c_0_1087, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(X1,insert_pname(esk67_3(X1,X2,X3),esk68_3(X1,X2,X3))))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))), inference(split_conjunct,[status(thm)],[c_0_895])). 0.56/0.82 fof(c_0_1088, plain, ![X728, X729, X730]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X730,esk35_3(X728,X729,X730))),hAPP_n1699378549t_bool(X730,hAPP_nat_nat(suc,esk35_3(X728,X729,X730)))))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X728),X729))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X730,X728)),hAPP_n1699378549t_bool(X730,X729))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_184_lift__Suc__mono__le])])])). 0.56/0.82 fof(c_0_1089, plain, ![X1906, X1907, X1908]:(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1908,esk107_3(X1906,X1907,X1908))),hAPP_nat_bool(X1908,hAPP_nat_nat(suc,esk107_3(X1906,X1907,X1908)))))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1906),X1907))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1908,X1906)),hAPP_nat_bool(X1908,X1907))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_182_lift__Suc__mono__le])])])). 0.56/0.82 fof(c_0_1090, plain, ![X1648, X1649, X1650]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1650,esk90_3(X1648,X1649,X1650))),hAPP_n1025906991e_bool(X1650,hAPP_nat_nat(suc,esk90_3(X1648,X1649,X1650)))))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1648),X1649))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1650,X1648)),hAPP_n1025906991e_bool(X1650,X1649))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_183_lift__Suc__mono__le])])])])). 0.56/0.82 cnf(c_0_1091, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X2)),X1))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),bot_bo1389914601l_bool)))|~hBOOL(hAPP_fun_a_bool_bool(X1,X2))), inference(rw,[status(thm)],[c_0_896, c_0_882])). 0.56/0.82 cnf(c_0_1092, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_897])). 0.56/0.82 cnf(c_0_1093, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_898])). 0.56/0.82 fof(c_0_1094, plain, ![X1503, X1504, X1505]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1505,esk81_3(X1503,X1504,X1505))),hAPP_nat_nat(X1505,hAPP_nat_nat(suc,esk81_3(X1503,X1504,X1505)))))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1503),X1504))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1505,X1503)),hAPP_nat_nat(X1505,X1504))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_186_lift__Suc__mono__le])])])])). 0.56/0.82 cnf(c_0_1095, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),esk50_3(X1,X2,X3))),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),esk51_3(X1,X2,X3)))))), inference(rw,[status(thm)],[c_0_899, c_0_741])). 0.56/0.82 cnf(c_0_1096, plain, (hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),esk131_3(X1,X2,X3))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),esk132_3(X1,X2,X3)))))), inference(rw,[status(thm)],[c_0_900, c_0_745])). 0.56/0.82 cnf(c_0_1097, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_901])). 0.56/0.82 cnf(c_0_1098, plain, (hBOOL(hAPP_pname_bool(insert_pname(X3,X1),X2))|~hBOOL(hAPP_pname_bool(X1,X2))|~is_pname(X3)|~is_pname(X2)), inference(split_conjunct,[status(thm)],[c_0_760])). 0.56/0.82 cnf(c_0_1099, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))), inference(rw,[status(thm)],[c_0_902, c_0_745])). 0.56/0.82 cnf(c_0_1100, plain, (X1=X2|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X2,X3)))|~is_pname(X1)|~is_pname(X2)), inference(split_conjunct,[status(thm)],[c_0_903])). 0.56/0.82 cnf(c_0_1101, plain, (X1=X2|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_904, c_0_837]), c_0_837])). 0.56/0.82 fof(c_0_1102, plain, ![X577, X578]:(((hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk24_2(X577,X578)),X578))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X577,X578)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X578)))&(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X578)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fequal_nat,X577)),hAPP_fun_a_bool_nat(X577,esk24_2(X577,X578)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X577,X578)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X578))))&(is_fun_a_bool(esk24_2(X577,X578))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X577,X578)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X578)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_198_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1103, plain, ![X836, X837]:(((is_fun_a_bool(esk41_2(X836,X837))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X836,X837)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X837)))&(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X837)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fequal_pname,X836)),hAPP_f1128469712_pname(X836,esk41_2(X836,X837)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X836,X837)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X837))))&(hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk41_2(X836,X837)),X837))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X836,X837)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X837)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_192_pigeonhole__infinite])])])])])). 0.56/0.82 cnf(c_0_1104, plain, (hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,X2))=hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(rw,[status(thm)],[c_0_905, c_0_745])). 0.56/0.82 fof(c_0_1105, plain, ![X2218, X2219, X2220]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X2220,esk130_3(X2218,X2219,X2220))),hAPP_nat_fun_a_bool(X2220,hAPP_nat_nat(suc,esk130_3(X2218,X2219,X2220)))))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2218),X2219))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X2220,X2218)),hAPP_nat_fun_a_bool(X2220,X2219))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_185_lift__Suc__mono__le])])])). 0.56/0.82 fof(c_0_1106, plain, ![X1833, X1834, X1835, X1836]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1835),X1836))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1833),X1834))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1835),X1833)),hAPP_nat_nat(plus_plus_nat(X1836),X1834))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_619_add__less__mono])])])). 0.56/0.82 fof(c_0_1107, plain, ![X1386, X1387, X1388]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1387),X1388))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1386),X1387))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1387),X1386)),hAPP_nat_nat(minus_minus_nat(X1388),X1386))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_668_diff__less__mono])])). 0.56/0.82 cnf(c_0_1108, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(rw,[status(thm)],[c_0_906, c_0_745])). 0.56/0.82 fof(c_0_1109, plain, ![X2177, X2178]:(((is_fun_pname_bool(esk127_2(X2177,X2178))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2177,X2178)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2178)))&(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2178)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fequal_nat,X2177)),hAPP_f921600141ol_nat(X2177,esk127_2(X2177,X2178)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2177,X2178)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2178))))&(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk127_2(X2177,X2178)),X2178))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2177,X2178)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2178)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_197_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1110, plain, ![X2259, X2260]:(((is_fun_pname_bool(esk134_2(X2259,X2260))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2259,X2260)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2260)))&(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2260)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fequal_pname,X2259)),hAPP_f1297739591_pname(X2259,esk134_2(X2259,X2260)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2259,X2260)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2260))))&(hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk134_2(X2259,X2260)),X2260))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2259,X2260)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2260)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_191_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1111, plain, ![X1359, X1360]:(((is_pname(esk75_2(X1359,X1360))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1359,X1360)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1360)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk75_2(X1359,X1360)),X1360))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1359,X1360)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1360))))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1360)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fequal_fun_a_bool,X1359)),hAPP_p1534023578a_bool(X1359,esk75_2(X1359,X1360)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1359,X1360)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1360)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_205_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1112, plain, ![X1326, X1327]:(((is_pname(esk73_2(X1326,X1327))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1326,X1327)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1327)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk73_2(X1326,X1327)),X1327))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1326,X1327)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1327))))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1327)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fequal_fun_nat_bool,X1326)),hAPP_p1499970991t_bool(X1326,esk73_2(X1326,X1327)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1326,X1327)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1327)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_203_pigeonhole__infinite])])])])])). 0.56/0.82 cnf(c_0_1113, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))), inference(rw,[status(thm)],[c_0_907, c_0_745])). 0.56/0.82 cnf(c_0_1114, plain, (hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,X2))=hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2)))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(rw,[status(thm)],[c_0_908, c_0_741])). 0.56/0.82 fof(c_0_1115, plain, ![X130, X131, X132]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X131),X132))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X131),X130))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X130),X132)),hAPP_nat_nat(minus_minus_nat(X130),X131))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_642_diff__less__mono2])])])). 0.56/0.82 fof(c_0_1116, plain, ![X2028, X2029, X2030, X2031]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2030),X2031))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2028),X2029))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X2030),X2028)),hAPP_nat_nat(plus_plus_nat(X2031),X2029))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_591_add__le__mono])])). 0.56/0.82 fof(c_0_1117, plain, ![X593, X594]:(((is_pname(esk25_2(X593,X594))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X593,X594)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X594)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_2(X593,X594)),X594))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X593,X594)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X594))))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X594)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,X593)),hAPP_pname_a(X593,esk25_2(X593,X594)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X593,X594)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X594)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_210_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1118, plain, ![X616, X617]:(((~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X617)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fequal533582459e_bool,X616)),hAPP_p61793385e_bool(X616,esk28_2(X616,X617)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X616,X617)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X617)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X616,X617)),X617))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X616,X617)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X617))))&(is_pname(esk28_2(X616,X617))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X616,X617)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X617)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_204_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1119, plain, ![X1329, X1330]:(((is_pname(esk74_2(X1329,X1330))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1329,X1330)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1330)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk74_2(X1329,X1330)),X1330))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1329,X1330)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1330))))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1330)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fequal_nat,X1329)),hAPP_pname_nat(X1329,esk74_2(X1329,X1330)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1329,X1330)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1330)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_195_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1120, plain, ![X494, X495]:(((is_pname(esk17_2(X494,X495))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X494,X495)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X495)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk17_2(X494,X495)),X495))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X494,X495)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X495))))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X495)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fequal_pname,X494)),hAPP_pname_pname(X494,esk17_2(X494,X495)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X494,X495)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X495)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_189_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1121, plain, ![X763, X764, X765]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X764),X765))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X765),X764))),X763)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X765)),hAPP_nat_nat(plus_plus_nat(X764),X763))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_608_diff__Suc__diff__eq2])])])). 0.56/0.82 cnf(c_0_1122, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),hAPP_a_nat(X3,X1))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_a_nat(X3,X2)))=image_a_nat(X3,X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(rw,[status(thm)],[c_0_909, c_0_745])). 0.56/0.82 fof(c_0_1123, plain, ![X561, X562, X563]:(((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk23_3(X561,X562,X563)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X563),image_1655916159e_bool(X561,X562)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X563))|~is_fun1661590463l_bool(X563))&(image_1655916159e_bool(X561,esk23_3(X561,X562,X563))=X563|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X563),image_1655916159e_bool(X561,X562)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X563))|~is_fun1661590463l_bool(X563)))&(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk23_3(X561,X562,X563)),X562))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X563),image_1655916159e_bool(X561,X562)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X563))|~is_fun1661590463l_bool(X563))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_177_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1124, plain, ![X456, X457, X458]:(((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk14_3(X456,X457,X458)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X458),image_nat_fun_a_bool(X456,X457)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X458))|~is_fun949378684l_bool(X458))&(X458=image_nat_fun_a_bool(X456,esk14_3(X456,X457,X458))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X458),image_nat_fun_a_bool(X456,X457)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X458))|~is_fun949378684l_bool(X458)))&(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk14_3(X456,X457,X458)),X457))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X458),image_nat_fun_a_bool(X456,X457)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X458))|~is_fun949378684l_bool(X458))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_178_finite__subset__image])])])])])). 0.56/0.82 cnf(c_0_1125, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,insert_fun_a_bool(esk104_2(X1,X2),esk105_2(X1,X2))))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_910])). 0.56/0.82 cnf(c_0_1126, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,insert1325755072e_bool(esk36_2(X1,X2),esk37_2(X1,X2))))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_911])). 0.56/0.82 cnf(c_0_1127, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fequal_nat,X2)),hAPP_f22106695ol_nat(X2,esk12_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_912])). 0.56/0.82 cnf(c_0_1128, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),hAPP_pname_nat(X3,X1))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_pname_nat(X3,X2)))=image_pname_nat(X3,X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(rw,[status(thm)],[c_0_913, c_0_745])). 0.56/0.82 fof(c_0_1129, plain, ![X1478, X1479, X1480]:((((is_fun_pname_bool(esk78_3(X1478,X1479,X1480))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1480),image_47868345e_bool(X1478,X1479)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1480))|~is_fun1661590463l_bool(X1480))&(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk78_3(X1478,X1479,X1480)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1480),image_47868345e_bool(X1478,X1479)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1480))|~is_fun1661590463l_bool(X1480)))&(image_47868345e_bool(X1478,esk78_3(X1478,X1479,X1480))=X1480|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1480),image_47868345e_bool(X1478,X1479)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1480))|~is_fun1661590463l_bool(X1480)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk78_3(X1478,X1479,X1480)),X1479))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1480),image_47868345e_bool(X1478,X1479)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1480))|~is_fun1661590463l_bool(X1480))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_171_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1130, plain, ![X1124, X1125, X1126]:((((is_fun_pname_bool(esk58_3(X1124,X1125,X1126))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1126),image_112932426a_bool(X1124,X1125)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1126))|~is_fun949378684l_bool(X1126))&(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk58_3(X1124,X1125,X1126)),X1125))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1126),image_112932426a_bool(X1124,X1125)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1126))|~is_fun949378684l_bool(X1126)))&(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk58_3(X1124,X1125,X1126)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1126),image_112932426a_bool(X1124,X1125)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1126))|~is_fun949378684l_bool(X1126)))&(image_112932426a_bool(X1124,esk58_3(X1124,X1125,X1126))=X1126|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1126),image_112932426a_bool(X1124,X1125)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1126))|~is_fun949378684l_bool(X1126))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_172_finite__subset__image])])])])). 0.56/0.82 cnf(c_0_1131, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fequal_pname,X2)),hAPP_f1291551745_pname(X2,esk40_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_914])). 0.56/0.82 cnf(c_0_1132, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,X2)),hAPP_nat_fun_a_bool(X2,esk26_2(X2,X1)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_915])). 0.56/0.82 cnf(c_0_1133, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,X2)),hAPP_n1699378549t_bool(X2,esk117_2(X2,X1)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_916])). 0.56/0.82 cnf(c_0_1134, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fequal_a,X2)),hAPP_nat_a(X2,esk3_2(X2,X1)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_917])). 0.56/0.82 cnf(c_0_1135, plain, (X1=insert_pname(X2,X1)|~is_fun_pname_bool(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_918])). 0.56/0.82 cnf(c_0_1136, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X2,X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_919])). 0.56/0.82 cnf(c_0_1137, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X2,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_920])). 0.56/0.82 cnf(c_0_1138, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,X2)),hAPP_n1025906991e_bool(X2,esk83_2(X2,X1)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_921])). 0.56/0.82 cnf(c_0_1139, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fequal_nat,X2)),hAPP_nat_nat(X2,esk119_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_922])). 0.56/0.82 cnf(c_0_1140, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fequal_pname,X2)),hAPP_nat_pname(X2,esk27_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_923])). 0.56/0.82 cnf(c_0_1141, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),esk124_2(X1,X2))),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),esk125_2(X1,X2)))))), inference(rw,[status(thm)],[c_0_924, c_0_741])). 0.56/0.82 cnf(c_0_1142, plain, (hAPP_nat_nat(minus_minus_nat(X2),X3)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),hAPP_nat_nat(minus_minus_nat(X3),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))), inference(split_conjunct,[status(thm)],[c_0_925])). 0.56/0.82 cnf(c_0_1143, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)), inference(split_conjunct,[status(thm)],[c_0_926]), ['final']). 0.56/0.82 fof(c_0_1144, plain, ![X1222, X1223, X1224]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk66_3(X1222,X1223,X1224)),X1224))|hBOOL(hAPP_nat_bool(X1222,X1223))|~hBOOL(hAPP_nat_bool(X1222,X1224))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1223),X1224)))&((hBOOL(hAPP_nat_bool(X1222,hAPP_nat_nat(suc,esk66_3(X1222,X1223,X1224))))|hBOOL(hAPP_nat_bool(X1222,X1223))|~hBOOL(hAPP_nat_bool(X1222,X1224))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1223),X1224)))&(~hBOOL(hAPP_nat_bool(X1222,esk66_3(X1222,X1223,X1224)))|hBOOL(hAPP_nat_bool(X1222,X1223))|~hBOOL(hAPP_nat_bool(X1222,X1224))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1223),X1224))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_672_inc__induct])])])])])). 0.56/0.82 cnf(c_0_1145, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(X2,X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_927])). 0.56/0.82 fof(c_0_1146, plain, ![X312, X313, X314]:((hBOOL(hAPP_nat_bool(X313,hAPP_nat_nat(suc,esk7_3(X312,X313,X314))))|hBOOL(hAPP_nat_bool(X313,hAPP_nat_nat(minus_minus_nat(X314),X312)))|~hBOOL(hAPP_nat_bool(X313,X314)))&(~hBOOL(hAPP_nat_bool(X313,esk7_3(X312,X313,X314)))|hBOOL(hAPP_nat_bool(X313,hAPP_nat_nat(minus_minus_nat(X314),X312)))|~hBOOL(hAPP_nat_bool(X313,X314)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_228_zero__induct__lemma])])])])])). 0.56/0.82 fof(c_0_1147, plain, ![X452, X453, X454]:(((image_26036933t_bool(X452,esk13_3(X452,X453,X454))=X454|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X454),image_26036933t_bool(X452,X453)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X454)))&(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk13_3(X452,X453,X454)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X454),image_26036933t_bool(X452,X453)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X454))))&(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk13_3(X452,X453,X454)),X453))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X454),image_26036933t_bool(X452,X453)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X454)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_176_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1148, plain, ![X1293, X1294, X1295]:((((is_fun_pname_bool(esk71_3(X1293,X1294,X1295))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1295),image_2129980159t_bool(X1293,X1294)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1295)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk71_3(X1293,X1294,X1295)),X1294))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1295),image_2129980159t_bool(X1293,X1294)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1295))))&(image_2129980159t_bool(X1293,esk71_3(X1293,X1294,X1295))=X1295|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1295),image_2129980159t_bool(X1293,X1294)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1295))))&(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk71_3(X1293,X1294,X1295)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1295),image_2129980159t_bool(X1293,X1294)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1295)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_170_finite__subset__image])])])])])). 0.56/0.82 cnf(c_0_1149, plain, (is_fun1661590463l_bool(insert1325755072e_bool(X2,X1))|~is_fun1661590463l_bool(X1)|~is_fun_pname_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_928])). 0.56/0.82 cnf(c_0_1150, plain, (is_fun_pname_bool(insert_pname(X1,X2))|~is_pname(X1)|~is_fun_pname_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_929])). 0.56/0.82 cnf(c_0_1151, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),X2))|~hBOOL(hAPP_nat_bool(X1,X2))), inference(rw,[status(thm)],[c_0_930, c_0_745])). 0.56/0.82 fof(c_0_1152, plain, ![X631, X632, X633]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X632),X633))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X631),X632)),hAPP_nat_nat(suc,X633))=hAPP_nat_nat(minus_minus_nat(X631),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X633),X632)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_609_diff__Suc__diff__eq1])])])). 0.56/0.82 cnf(c_0_1153, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X2)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(rw,[status(thm)],[c_0_931, c_0_741])). 0.56/0.82 fof(c_0_1154, plain, ![X1266, X1267, X1268]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1268),X1267)),hAPP_nat_nat(minus_minus_nat(X1266),X1267)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1268),X1266))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1267),X1266))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1267),X1268)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1268),X1266))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1268),X1267)),hAPP_nat_nat(minus_minus_nat(X1266),X1267)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1267),X1266))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1267),X1268)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_669_less__diff__iff])])])])). 0.56/0.82 fof(c_0_1155, plain, ![X874, X875, X876]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X876),X875)),hAPP_nat_nat(minus_minus_nat(X874),X875)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X876),X874))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X875),X874))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X875),X876)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X876),X874))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X876),X875)),hAPP_nat_nat(minus_minus_nat(X874),X875)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X875),X874))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X875),X876)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_124_le__diff__iff])])])])). 0.56/0.82 cnf(c_0_1156, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_932])). 0.56/0.82 cnf(c_0_1157, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))), inference(split_conjunct,[status(thm)],[c_0_933]), ['final']). 0.56/0.82 cnf(c_0_1158, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(rw,[status(thm)],[c_0_934, c_0_745])). 0.56/0.82 fof(c_0_1159, plain, ![X678, X679, X680]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X679),X680))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X678),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X680),X678)),X679)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_603_le__add__diff])])])). 0.56/0.82 fof(c_0_1160, plain, ![X1042, X1043, X1044]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1043),X1044))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1043),X1042)),hAPP_nat_nat(plus_plus_nat(X1044),X1042)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_620_add__less__mono1])])). 0.56/0.82 fof(c_0_1161, plain, ![X1813, X1814, X1815]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1814),X1815))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1813),X1814)),hAPP_nat_nat(plus_plus_nat(X1813),X1815))))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1813),X1814)),hAPP_nat_nat(plus_plus_nat(X1813),X1815)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1814),X1815)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_623_nat__add__left__cancel__less])])). 0.56/0.82 fof(c_0_1162, plain, ![X1753, X1754, X1755]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1754),X1755))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1754),X1753)),hAPP_nat_nat(plus_plus_nat(X1755),X1753)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_590_add__le__mono1])])])). 0.56/0.82 fof(c_0_1163, plain, ![X301, X302, X303]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X302),X303))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X303),X301))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X302)),X301)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_629_less__trans__Suc])])). 0.56/0.82 fof(c_0_1164, plain, ![X1721, X1722, X1723]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1721),X1722)),hAPP_nat_nat(plus_plus_nat(X1721),X1723)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1722),X1723)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1722),X1723))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1721),X1722)),hAPP_nat_nat(plus_plus_nat(X1721),X1723))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_587_nat__add__left__cancel__le])])). 0.56/0.82 fof(c_0_1165, plain, ![X97, X98, X99]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X98),X99))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X98),X97)),hAPP_nat_nat(minus_minus_nat(X99),X97)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_128_diff__le__mono])])). 0.56/0.82 cnf(c_0_1166, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))), inference(rw,[status(thm)],[c_0_935, c_0_745])). 0.56/0.82 fof(c_0_1167, plain, ![X478, X479, X480]:((((X480=image_1854862208_pname(X478,esk16_3(X478,X479,X480))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X480),image_1854862208_pname(X478,X479)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X480))|~is_fun_pname_bool(X480))&(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk16_3(X478,X479,X480)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X480),image_1854862208_pname(X478,X479)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X480))|~is_fun_pname_bool(X480)))&(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk16_3(X478,X479,X480)),X479))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X480),image_1854862208_pname(X478,X479)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X480))|~is_fun_pname_bool(X480)))&(is_fun949378684l_bool(esk16_3(X478,X479,X480))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X480),image_1854862208_pname(X478,X479)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X480))|~is_fun_pname_bool(X480))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_165_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1168, plain, ![X513, X514, X515]:(((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk19_3(X513,X514,X515)),X514))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X515),image_1921560913_pname(X513,X514)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X515))|~is_fun_pname_bool(X515))&(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk19_3(X513,X514,X515)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X515),image_1921560913_pname(X513,X514)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X515))|~is_fun_pname_bool(X515)))&(X515=image_1921560913_pname(X513,esk19_3(X513,X514,X515))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X515),image_1921560913_pname(X513,X514)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X515))|~is_fun_pname_bool(X515))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_163_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1169, plain, ![X2073, X2074, X2075]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2074),X2075))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X2073),X2075)),hAPP_nat_nat(minus_minus_nat(X2073),X2074)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_129_diff__le__mono2])])). 0.56/0.82 fof(c_0_1170, plain, ![X1205, X1206]:(((is_a(esk65_2(X1205,X1206))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X1205,X1206)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1206)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk65_2(X1205,X1206)),X1206))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X1205,X1206)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1206))))&(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1206)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fequal_fun_nat_bool,X1205)),hAPP_a_fun_nat_bool(X1205,esk65_2(X1205,X1206)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X1205,X1206)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1206)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_207_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1171, plain, ![X1418, X1419]:(((~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1419)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fequal533582459e_bool,X1418)),hAPP_a93125764e_bool(X1418,esk76_2(X1418,X1419)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X1418,X1419)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1419)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk76_2(X1418,X1419)),X1419))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X1418,X1419)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1419))))&(is_a(esk76_2(X1418,X1419))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X1418,X1419)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1419)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_208_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1172, plain, ![X893, X894]:(((~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X894)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fequal_nat,X893)),hAPP_a_nat(X893,esk43_2(X893,X894)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X893,X894)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X894)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk43_2(X893,X894)),X894))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X893,X894)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X894))))&(is_a(esk43_2(X893,X894))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X893,X894)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X894)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_194_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1173, plain, ![X665, X666]:(((is_a(esk30_2(X665,X666))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X665,X666)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X666)))&(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X666)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fequal_pname,X665)),hAPP_a_pname(X665,esk30_2(X665,X666)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X665,X666)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X666))))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk30_2(X665,X666)),X666))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X665,X666)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X666)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_188_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1174, plain, ![X1149, X1150, X1151]:((((X1151=image_1283814551_pname(X1149,esk60_3(X1149,X1150,X1151))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1151),image_1283814551_pname(X1149,X1150)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1151))|~is_fun_pname_bool(X1151))&(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk60_3(X1149,X1150,X1151)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1151),image_1283814551_pname(X1149,X1150)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1151))|~is_fun_pname_bool(X1151)))&(hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk60_3(X1149,X1150,X1151)),X1150))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1151),image_1283814551_pname(X1149,X1150)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1151))|~is_fun_pname_bool(X1151)))&(is_fun1661590463l_bool(esk60_3(X1149,X1150,X1151))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1151),image_1283814551_pname(X1149,X1150)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1151))|~is_fun_pname_bool(X1151))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_164_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1175, plain, ![X1863, X1864, X1865]:(((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk101_3(X1863,X1864,X1865)),X1864))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1865),image_nat_pname(X1863,X1864)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1865))|~is_fun_pname_bool(X1865))&(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk101_3(X1863,X1864,X1865)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1865),image_nat_pname(X1863,X1864)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1865))|~is_fun_pname_bool(X1865)))&(X1865=image_nat_pname(X1863,esk101_3(X1863,X1864,X1865))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1865),image_nat_pname(X1863,X1864)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1865))|~is_fun_pname_bool(X1865))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_179_finite__subset__image])])])])). 0.56/0.82 fof(c_0_1176, plain, ![X1133, X1134, X1135]:((((is_fun_pname_bool(esk59_3(X1133,X1134,X1135))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1135),image_pname_pname(X1133,X1134)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1135))|~is_fun_pname_bool(X1135))&(image_pname_pname(X1133,esk59_3(X1133,X1134,X1135))=X1135|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1135),image_pname_pname(X1133,X1134)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1135))|~is_fun_pname_bool(X1135)))&(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk59_3(X1133,X1134,X1135)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1135),image_pname_pname(X1133,X1134)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1135))|~is_fun_pname_bool(X1135)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk59_3(X1133,X1134,X1135)),X1134))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1135),image_pname_pname(X1133,X1134)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1135))|~is_fun_pname_bool(X1135))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_173_finite__subset__image])])])])])). 0.56/0.82 cnf(c_0_1177, plain, (is_fun949378684l_bool(insert_fun_a_bool(X2,X1))|~is_fun949378684l_bool(X1)|~is_fun_a_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_936])). 0.56/0.82 fof(c_0_1178, plain, ![X911, X912, X913]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X912),X913))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X913),X911)),X912)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X913),X912)),X911)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_596_add__diff__assoc2])])). 0.56/0.82 cnf(c_0_1179, plain, (X2=X3|X1=X2|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool))))))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X4)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool))))))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_937, c_0_847]), c_0_847]), c_0_847]), c_0_847])). 0.56/0.82 cnf(c_0_1180, plain, (X2=X3|X1=X2|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool))))))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X4)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool))))))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_938, c_0_847]), c_0_847]), c_0_847]), c_0_847])). 0.56/0.82 fof(c_0_1181, plain, ![X1674, X1675]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1675))|(~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1674),X1675))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1674)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1675))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_44_card__mono])])). 0.56/0.82 fof(c_0_1182, plain, ![X1679, X1680]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1680))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1679),X1680))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1679)),hAPP_f22106695ol_nat(finite_card_nat,X1680))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_47_card__mono])])])). 0.56/0.82 fof(c_0_1183, plain, ![X898, X899]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X899))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X898),X899))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X898)),hAPP_f921600141ol_nat(finite_card_pname,X899))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_45_card__mono])])])). 0.56/0.82 fof(c_0_1184, plain, ![X133, X134]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X134))|(~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X133),X134))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X133)),hAPP_f696928925ol_nat(finite346522414t_bool,X134))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_42_card__mono])])])). 0.56/0.82 fof(c_0_1185, plain, ![X258, X259]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X259))|(~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X258),X259))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X258)),hAPP_f55526627ol_nat(finite1340463720e_bool,X259))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_43_card__mono])])). 0.56/0.82 cnf(c_0_1186, plain, (X3=X1|hBOOL(hAPP_pname_bool(X2,X3))|~hBOOL(hAPP_pname_bool(insert_pname(X1,X2),X3))|~is_pname(X1)|~is_pname(X3)), inference(split_conjunct,[status(thm)],[c_0_760])). 0.56/0.82 fof(c_0_1187, plain, ![X271, X272, X273]:((((is_fun949378684l_bool(esk6_3(X271,X272,X273))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X273),image_fun_a_bool_nat(X271,X272)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X273)))&(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk6_3(X271,X272,X273)),X272))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X273),image_fun_a_bool_nat(X271,X272)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X273))))&(image_fun_a_bool_nat(X271,esk6_3(X271,X272,X273))=X273|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X273),image_fun_a_bool_nat(X271,X272)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X273))))&(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk6_3(X271,X272,X273)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X273),image_fun_a_bool_nat(X271,X272)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X273)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_169_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1188, plain, ![X1818, X1819, X1820]:(((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk97_3(X1818,X1819,X1820)),X1819))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1820),image_496248727ol_nat(X1818,X1819)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1820)))&(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk97_3(X1818,X1819,X1820)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1820),image_496248727ol_nat(X1818,X1819)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1820))))&(X1820=image_496248727ol_nat(X1818,esk97_3(X1818,X1819,X1820))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1820),image_496248727ol_nat(X1818,X1819)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1820)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_167_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1189, plain, ![X954, X955, X956]:((((hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk45_3(X954,X955,X956)),X955))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X956),image_1551609309ol_nat(X954,X955)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X956)))&(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk45_3(X954,X955,X956)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X956),image_1551609309ol_nat(X954,X955)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X956))))&(X956=image_1551609309ol_nat(X954,esk45_3(X954,X955,X956))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X956),image_1551609309ol_nat(X954,X955)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X956))))&(is_fun1661590463l_bool(esk45_3(X954,X955,X956))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X956),image_1551609309ol_nat(X954,X955)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X956)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_168_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1190, plain, ![X1612, X1613, X1614]:(((hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk87_3(X1612,X1613,X1614)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1614),image_nat_nat(X1612,X1613)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1614)))&(image_nat_nat(X1612,esk87_3(X1612,X1613,X1614))=X1614|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1614),image_nat_nat(X1612,X1613)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1614))))&(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk87_3(X1612,X1613,X1614)),X1613))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1614),image_nat_nat(X1612,X1613)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1614)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_180_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1191, plain, ![X1220, X1221]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1221))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(X1220,X1221))),hAPP_f696928925ol_nat(finite346522414t_bool,X1221)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_36_card__image__le])])). 0.56/0.82 fof(c_0_1192, plain, ![X2161, X2162]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2162))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(X2161,X2162))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2162)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_38_card__image__le])])])). 0.56/0.82 fof(c_0_1193, plain, ![X1682, X1683]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1683))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(X1682,X1683))),hAPP_f921600141ol_nat(finite_card_pname,X1683)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_34_card__image__le])])])). 0.56/0.82 fof(c_0_1194, plain, ![X502, X503, X504]:((((is_fun_pname_bool(esk18_3(X502,X503,X504))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X504),image_pname_nat(X502,X503)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X504)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk18_3(X502,X503,X504)),X503))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X504),image_pname_nat(X502,X503)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X504))))&(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk18_3(X502,X503,X504)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X504),image_pname_nat(X502,X503)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X504))))&(image_pname_nat(X502,esk18_3(X502,X503,X504))=X504|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X504),image_pname_nat(X502,X503)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X504)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_174_finite__subset__image])])])])])). 0.56/0.82 cnf(c_0_1195, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_875])). 0.56/0.82 cnf(c_0_1196, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,insert_pname(X3,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_875])). 0.56/0.82 fof(c_0_1197, plain, ![X156, X157]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X157))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(X156,X157))),hAPP_f55526627ol_nat(finite1340463720e_bool,X157)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_37_card__image__le])])])). 0.56/0.82 fof(c_0_1198, plain, ![X1984, X1985, X1986]:((((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk112_3(X1984,X1985,X1986)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1986),image_819518260e_bool(X1984,X1985)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1986))|~is_fun1661590463l_bool(X1986))&(image_819518260e_bool(X1984,esk112_3(X1984,X1985,X1986))=X1986|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1986),image_819518260e_bool(X1984,X1985)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1986))|~is_fun1661590463l_bool(X1986)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk112_3(X1984,X1985,X1986)),X1985))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1986),image_819518260e_bool(X1984,X1985)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1986))|~is_fun1661590463l_bool(X1986)))&(is_fun_a_bool(esk112_3(X1984,X1985,X1986))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1986),image_819518260e_bool(X1984,X1985)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1986))|~is_fun1661590463l_bool(X1986))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_160_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1199, plain, ![X1727, X1728, X1729]:((((is_fun_a_bool(esk95_3(X1727,X1728,X1729))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1729),image_a_fun_a_bool(X1727,X1728)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1729))|~is_fun949378684l_bool(X1729))&(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk95_3(X1727,X1728,X1729)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1729),image_a_fun_a_bool(X1727,X1728)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1729))|~is_fun949378684l_bool(X1729)))&(X1729=image_a_fun_a_bool(X1727,esk95_3(X1727,X1728,X1729))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1729),image_a_fun_a_bool(X1727,X1728)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1729))|~is_fun949378684l_bool(X1729)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk95_3(X1727,X1728,X1729)),X1728))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1729),image_a_fun_a_bool(X1727,X1728)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1729))|~is_fun949378684l_bool(X1729))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_161_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1200, plain, ![X1158, X1159]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1159))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(X1158,X1159))),hAPP_f921600141ol_nat(finite_card_pname,X1159)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_29_card__image__le])])). 0.56/0.82 fof(c_0_1201, plain, ![X760, X761]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X761))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(X760,X761))),hAPP_f22106695ol_nat(finite_card_nat,X761)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_40_card__image__le])])])). 0.56/0.82 fof(c_0_1202, plain, ![X991, X992, X993]:((X991=hAPP_nat_pname(X992,esk47_3(X991,X992,X993))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X991),image_nat_pname(X992,X993)))|~is_pname(X991))&(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk47_3(X991,X992,X993)),X993))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X991),image_nat_pname(X992,X993)))|~is_pname(X991))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_352_imageE])])])])])])])). 0.56/0.82 cnf(c_0_1203, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,insert_a(X2,X1))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_939])). 0.56/0.82 fof(c_0_1204, plain, ![X1844, X1845, X1846]:((((is_fun949378684l_bool(esk98_3(X1844,X1845,X1846))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1846),image_fun_a_bool_a(X1844,X1845)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1846))|~is_fun_a_bool(X1846))&(hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk98_3(X1844,X1845,X1846)),X1845))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1846),image_fun_a_bool_a(X1844,X1845)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1846))|~is_fun_a_bool(X1846)))&(image_fun_a_bool_a(X1844,esk98_3(X1844,X1845,X1846))=X1846|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1846),image_fun_a_bool_a(X1844,X1845)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1846))|~is_fun_a_bool(X1846)))&(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk98_3(X1844,X1845,X1846)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1846),image_fun_a_bool_a(X1844,X1845)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1846))|~is_fun_a_bool(X1846))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_157_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1205, plain, ![X126, X127, X128]:(((hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk1_3(X126,X127,X128)),X127))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X128),image_fun_nat_bool_a(X126,X127)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X128))|~is_fun_a_bool(X128))&(X128=image_fun_nat_bool_a(X126,esk1_3(X126,X127,X128))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X128),image_fun_nat_bool_a(X126,X127)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X128))|~is_fun_a_bool(X128)))&(hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk1_3(X126,X127,X128)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X128),image_fun_nat_bool_a(X126,X127)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X128))|~is_fun_a_bool(X128))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_155_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1206, plain, ![X2257, X2258]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2258))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(X2257,X2258))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2258)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_33_card__image__le])])). 0.56/0.82 cnf(c_0_1207, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))),X2))), inference(rw,[status(thm)],[c_0_940, c_0_745])). 0.56/0.82 fof(c_0_1208, plain, ![X1466, X1467]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1467))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(X1466,X1467))),hAPP_f55526627ol_nat(finite1340463720e_bool,X1467)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_32_card__image__le])])])). 0.56/0.82 fof(c_0_1209, plain, ![X376, X377, X378]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X377),X378))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X376),X377)),X378)=hAPP_nat_nat(minus_minus_nat(X376),hAPP_nat_nat(minus_minus_nat(X378),X377))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_605_diff__diff__right])])). 0.56/0.82 fof(c_0_1210, plain, ![X537, X538, X539]:((((is_fun1661590463l_bool(esk22_3(X537,X538,X539))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X539),image_876012084bool_a(X537,X538)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X539))|~is_fun_a_bool(X539))&(hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk22_3(X537,X538,X539)),X538))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X539),image_876012084bool_a(X537,X538)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X539))|~is_fun_a_bool(X539)))&(image_876012084bool_a(X537,esk22_3(X537,X538,X539))=X539|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X539),image_876012084bool_a(X537,X538)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X539))|~is_fun_a_bool(X539)))&(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk22_3(X537,X538,X539)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X539),image_876012084bool_a(X537,X538)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X539))|~is_fun_a_bool(X539))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_156_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1211, plain, ![X2128, X2129, X2130]:(((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk123_3(X2128,X2129,X2130)),X2129))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2130),image_nat_a(X2128,X2129)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2130))|~is_fun_a_bool(X2130))&(hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk123_3(X2128,X2129,X2130)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2130),image_nat_a(X2128,X2129)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2130))|~is_fun_a_bool(X2130)))&(X2130=image_nat_a(X2128,esk123_3(X2128,X2129,X2130))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2130),image_nat_a(X2128,X2129)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2130))|~is_fun_a_bool(X2130))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_175_finite__subset__image])])])])). 0.56/0.82 fof(c_0_1212, plain, ![X923, X924, X925]:((((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk44_3(X923,X924,X925)),X924))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X925),image_pname_a(X923,X924)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X925))|~is_fun_a_bool(X925))&(X925=image_pname_a(X923,esk44_3(X923,X924,X925))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X925),image_pname_a(X923,X924)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X925))|~is_fun_a_bool(X925)))&(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk44_3(X923,X924,X925)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X925),image_pname_a(X923,X924)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X925))|~is_fun_a_bool(X925)))&(is_fun_pname_bool(esk44_3(X923,X924,X925))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X925),image_pname_a(X923,X924)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X925))|~is_fun_a_bool(X925))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_181_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1213, plain, ![X2106, X2107]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2107))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(X2106,X2107))),hAPP_f696928925ol_nat(finite346522414t_bool,X2107)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_31_card__image__le])])])). 0.56/0.82 cnf(c_0_1214, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))),X2))), inference(rw,[status(thm)],[c_0_941, c_0_745])). 0.56/0.82 cnf(c_0_1215, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,X2)),X1))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk38_2(X1,X2)),hAPP_nat_nat(X2,esk38_2(X1,X2))))), inference(split_conjunct,[status(thm)],[c_0_942])). 0.56/0.82 fof(c_0_1216, plain, ![X412, X413, X414]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X412),hAPP_nat_nat(minus_minus_nat(X413),X414)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X412),X414)),X413)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X412),X414)),X413))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X412),hAPP_nat_nat(minus_minus_nat(X413),X414))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_667_less__diff__conv])])). 0.56/0.82 fof(c_0_1217, plain, ![X1523, X1524, X1525]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1523),hAPP_nat_nat(plus_plus_nat(X1525),X1524)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1523),X1524)),X1525)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1523),X1524)),X1525))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1523),hAPP_nat_nat(plus_plus_nat(X1525),X1524))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_604_le__diff__conv])])). 0.56/0.82 fof(c_0_1218, plain, ![X278, X279]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X278),X279))|(hAPP_nat_nat(suc,X278)=X279|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X278)),X279)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_630_Suc__lessI])])])). 0.56/0.82 cnf(c_0_1219, plain, (X3=X2|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|insert_a(X1,X2)!=insert_a(X1,X3)|~is_fun_a_bool(X2)|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_943])). 0.56/0.82 fof(c_0_1220, plain, ![X2015, X2016, X2017]:((((is_fun_a_bool(esk114_3(X2015,X2016,X2017))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2017),image_a_fun_nat_bool(X2015,X2016)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2017)))&(X2017=image_a_fun_nat_bool(X2015,esk114_3(X2015,X2016,X2017))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2017),image_a_fun_nat_bool(X2015,X2016)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2017))))&(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk114_3(X2015,X2016,X2017)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2017),image_a_fun_nat_bool(X2015,X2016)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2017))))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk114_3(X2015,X2016,X2017)),X2016))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2017),image_a_fun_nat_bool(X2015,X2016)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2017)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_159_finite__subset__image])])])])])). 0.56/0.82 cnf(c_0_1221, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))|hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X1))=hAPP_fun_a_bool_nat(finite_card_a,insert_a(X2,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_944])). 0.56/0.82 fof(c_0_1222, plain, ![X908, X909, X910]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X909),X910))|(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X908),X909))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X908),X910)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_278_in__mono])])])). 0.56/0.82 fof(c_0_1223, plain, ![X949, X950, X951]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X950),X951))|hAPP_nat_nat(plus_plus_nat(X949),hAPP_nat_nat(minus_minus_nat(X951),X950))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X949),X951)),X950)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_597_diff__add__assoc])])). 0.56/0.82 fof(c_0_1224, plain, ![X1174, X1175, X1176]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1175),X1176))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1174),X1175))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1174),X1176)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_501_xt1_I6_J])])). 0.56/0.82 fof(c_0_1225, plain, ![X2056, X2057, X2058]:((is_pname(esk115_3(X2056,X2057,X2058))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X2056,X2058)),X2057)))&((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk115_3(X2056,X2057,X2058)),X2058))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X2056,X2058)),X2057)))&(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X2056,esk115_3(X2056,X2057,X2058))),X2057))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X2056,X2058)),X2057))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_360_image__subsetI])])])])). 0.56/0.82 fof(c_0_1226, plain, ![X1431, X1432, X1433]:((is_pname(esk77_3(X1431,X1432,X1433))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1431,X1433)),X1432)))&((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk77_3(X1431,X1432,X1433)),X1433))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1431,X1433)),X1432)))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(X1431,esk77_3(X1431,X1432,X1433))),X1432))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1431,X1433)),X1432))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_361_image__subsetI])])])])). 0.56/0.82 fof(c_0_1227, plain, ![X1969, X1970, X1971]:(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1970),X1971))|(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1969),X1970))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1969),X1971)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_500_xt1_I6_J])])])). 0.56/0.82 fof(c_0_1228, plain, ![X382, X383, X384]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk8_3(X382,X383,X384)),X384))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X382,X384)),X383)))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X382,esk8_3(X382,X383,X384))),X383))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X382,X384)),X383)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_364_image__subsetI])])])])). 0.56/0.82 fof(c_0_1229, plain, ![X1112, X1113]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1113))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(X1112,X1113))),hAPP_fun_a_bool_nat(finite_card_a,X1113)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_35_card__image__le])])])). 0.56/0.82 fof(c_0_1230, plain, ![X510, X511, X512]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X511),X512))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X510),X511))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X510),X512)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_220_subsetD])])])). 0.56/0.82 fof(c_0_1231, plain, ![X1415, X1416, X1417]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1416),X1417))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1415),X1416))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1415),X1417)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_502_xt1_I6_J])])). 0.56/0.82 fof(c_0_1232, plain, ![X1837, X1838]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1838))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(X1837,X1838))),hAPP_fun_a_bool_nat(finite_card_a,X1838)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_39_card__image__le])])])). 0.56/0.82 fof(c_0_1233, plain, ![X842, X843]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X843))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(X842,X843))),hAPP_fun_a_bool_nat(finite_card_a,X843)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_30_card__image__le])])). 0.56/0.82 fof(c_0_1234, plain, ![X1254, X1255, X1256]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1255),X1256))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1254),X1255))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1254),X1256)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_503_xt1_I6_J])])). 0.56/0.82 fof(c_0_1235, plain, ![X1088, X1089, X1090]:((X1088=hAPP_nat_a(X1089,esk54_3(X1088,X1089,X1090))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1088),image_nat_a(X1089,X1090)))|~is_a(X1088))&(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk54_3(X1088,X1089,X1090)),X1090))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1088),image_nat_a(X1089,X1090)))|~is_a(X1088))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_353_imageE])])])])])])])). 0.56/0.82 cnf(c_0_1236, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,insert_a(esk91_3(X1,X2,X3),esk92_3(X1,X2,X3))))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))), inference(split_conjunct,[status(thm)],[c_0_945])). 0.56/0.82 fof(c_0_1237, plain, ![X140, X141]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X141))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(X140,X141))),hAPP_f921600141ol_nat(finite_card_pname,X141)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_41_card__image__le])])])). 0.56/0.82 fof(c_0_1238, plain, ![X1958, X1959, X1960]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1959),X1960))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X1958,X1959)),image_pname_nat(X1958,X1960)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_303_imageI])])). 0.56/0.82 cnf(c_0_1239, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk46_2(X1,X2)),u))|hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),mgt(X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))|~hBOOL(wt(X2))), inference(rw,[status(thm)],[c_0_946, c_0_847])). 0.56/0.82 fof(c_0_1240, plain, ![X1626, X1627, X1628]:((is_pname(esk89_3(X1626,X1627,X1628))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1626),image_pname_nat(X1627,X1628))))&((X1626=hAPP_pname_nat(X1627,esk89_3(X1626,X1627,X1628))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1626),image_pname_nat(X1627,X1628))))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk89_3(X1626,X1627,X1628)),X1628))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1626),image_pname_nat(X1627,X1628)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_354_imageE])])])])])). 0.56/0.82 cnf(c_0_1241, plain, (insert_a(hAPP_nat_a(X3,X1),image_nat_a(X3,X2))=image_nat_a(X3,X2)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_947])). 0.56/0.82 fof(c_0_1242, plain, ![X103, X104, X105]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X104),X105))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X104,X103)),hAPP_pname_bool(X105,X103)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_380_le__funE])])). 0.56/0.82 fof(c_0_1243, plain, ![X1946, X1947, X1948]:((((image_a_pname(X1946,esk109_3(X1946,X1947,X1948))=X1948|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1948),image_a_pname(X1946,X1947)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1948))|~is_fun_pname_bool(X1948))&(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk109_3(X1946,X1947,X1948)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1948),image_a_pname(X1946,X1947)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1948))|~is_fun_pname_bool(X1948)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk109_3(X1946,X1947,X1948)),X1947))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1948),image_a_pname(X1946,X1947)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1948))|~is_fun_pname_bool(X1948)))&(is_fun_a_bool(esk109_3(X1946,X1947,X1948))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1948),image_a_pname(X1946,X1947)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1948))|~is_fun_pname_bool(X1948))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_162_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1244, plain, ![X1357, X1358]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1358))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1357),X1358))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1357)),hAPP_fun_a_bool_nat(finite_card_a,X1358))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_46_card__mono])])])). 0.56/0.82 fof(c_0_1245, plain, ![X1164, X1165]:(((is_a(esk61_2(X1164,X1165))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X1164,X1165)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1165)))&(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1165)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fequal_fun_a_bool,X1164)),hAPP_a_fun_a_bool(X1164,esk61_2(X1164,X1165)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X1164,X1165)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1165))))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk61_2(X1164,X1165)),X1165))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X1164,X1165)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1165)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_209_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1246, plain, ![X1066, X1067, X1068]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1067),X1068))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1067,X1066)),hAPP_nat_bool(X1068,X1066)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_381_le__funE])])). 0.56/0.82 fof(c_0_1247, plain, ![X1321, X1322]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1321),esk72_2(X1321,X1322)))|X1322=hAPP_nat_nat(suc,X1321)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1321),X1322)))&(hAPP_nat_nat(suc,esk72_2(X1321,X1322))=X1322|X1322=hAPP_nat_nat(suc,X1321)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1321),X1322)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_677_lessE])])])])])). 0.56/0.82 fof(c_0_1248, plain, ![X193, X194, X195, X196, X197, X198]:((X193!=image_nat_a(X194,X196)|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X196),X195))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X193),image_nat_a(X194,X195)))|~is_fun_a_bool(X193))&((X193=image_nat_a(X197,esk2_3(X193,X197,X198))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X193),image_nat_a(X197,X198)))|~is_fun_a_bool(X193))&(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk2_3(X193,X197,X198)),X198))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X193),image_nat_a(X197,X198)))|~is_fun_a_bool(X193)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_344_subset__image__iff])])])])])])). 0.56/0.82 fof(c_0_1249, plain, ![X1487, X1488, X1489, X1490, X1491, X1492]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1490),X1489))|X1487!=hAPP_pname_a(X1488,X1490)|~is_pname(X1490)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1487),image_pname_a(X1488,X1489)))|~is_a(X1487))&(((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk79_3(X1487,X1491,X1492)),X1492))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1487),image_pname_a(X1491,X1492)))|~is_a(X1487))&(X1487=hAPP_pname_a(X1491,esk79_3(X1487,X1491,X1492))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1487),image_pname_a(X1491,X1492)))|~is_a(X1487)))&(is_pname(esk79_3(X1487,X1491,X1492))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1487),image_pname_a(X1491,X1492)))|~is_a(X1487)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_302_image__iff])])])])])])). 0.56/0.82 fof(c_0_1250, plain, ![X1283, X1284, X1285]:((is_pname(esk69_3(X1283,X1284,X1285))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1283),image_pname_a(X1284,X1285)))|~is_a(X1283))&((hAPP_pname_a(X1284,esk69_3(X1283,X1284,X1285))=X1283|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1283),image_pname_a(X1284,X1285)))|~is_a(X1283))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk69_3(X1283,X1284,X1285)),X1285))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1283),image_pname_a(X1284,X1285)))|~is_a(X1283)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_356_imageE])])])])])])])). 0.56/0.82 fof(c_0_1251, plain, ![X753, X754, X755]:(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X754),X755))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X753,X754)),image_nat_pname(X753,X755)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_305_imageI])])). 0.56/0.82 fof(c_0_1252, plain, ![X137, X138]:(((hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X138)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X137),X138)))))&(hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X137)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X137),X138))))))&(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X138)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X137)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X137),X138)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_94_finite__Collect__disjI])])])). 0.56/0.82 fof(c_0_1253, plain, ![X1083, X1084]:((~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1084)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1083)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1083),X1084)))))&((hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1084)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1083),X1084)))))&(hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1083)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1083),X1084))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_93_finite__Collect__disjI])])])). 0.56/0.82 fof(c_0_1254, plain, ![X1991, X1992]:(((hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1992)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1991),X1992)))))&(hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1991)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1991),X1992))))))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1992)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1991)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1991),X1992)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_95_finite__Collect__disjI])])])). 0.56/0.82 fof(c_0_1255, plain, ![X1314, X1315]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1314),X1315))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1314)),hAPP_nat_nat(suc,X1315)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_613_Suc__mono])])])). 0.56/0.82 cnf(c_0_1256, plain, (X1=X3|hBOOL(hAPP_nat_bool(X2,X3))|~hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)),X3))), inference(rw,[status(thm)],[c_0_948, c_0_745])). 0.56/0.82 fof(c_0_1257, plain, ![X1350, X1351]:(~is_fun949378684l_bool(X1350)|~is_fun949378684l_bool(X1351)|(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1351))|(~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1350),X1351))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1351)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1350)))|X1350=X1351)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_50_card__seteq])])])). 0.56/0.82 fof(c_0_1258, plain, ![X1883, X1884]:(~is_fun_a_bool(X1884)|~is_fun_a_bool(X1883)|(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1884))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1883),X1884))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1884)),hAPP_fun_a_bool_nat(finite_card_a,X1883)))|X1884=X1883)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_52_card__seteq])])). 0.56/0.82 fof(c_0_1259, plain, ![X118, X119]:(~is_fun1661590463l_bool(X119)|~is_fun1661590463l_bool(X118)|(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X119))|(~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X118),X119))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X119)),hAPP_f55526627ol_nat(finite1340463720e_bool,X118)))|X119=X118)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_49_card__seteq])])). 0.56/0.82 cnf(c_0_1260, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X2)),X1)=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))|~hBOOL(hAPP_nat_bool(X1,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_949, c_0_737]), c_0_745])). 0.56/0.82 fof(c_0_1261, plain, ![X2118, X2119]:(((is_a(esk120_2(X2118,X2119))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2118,X2119)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2119)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk120_2(X2118,X2119)),X2119))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2118,X2119)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2119))))&(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2119)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fequal_a,X2118)),hAPP_a_a(X2118,esk120_2(X2118,X2119)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2118,X2119)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2119)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_206_pigeonhole__infinite])])])])])). 0.56/0.82 fof(c_0_1262, plain, ![X1188, X1189]:(~is_fun_pname_bool(X1189)|~is_fun_pname_bool(X1188)|(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1189))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1188),X1189))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1189)),hAPP_f921600141ol_nat(finite_card_pname,X1188)))|X1188=X1189)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_51_card__seteq])])])). 0.56/0.82 fof(c_0_1263, plain, ![X1497, X1498, X1500, X1501, X1502]:((~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1497,esk80_2(X1497,X1498))),hAPP_nat_bool(X1498,esk80_2(X1497,X1498))))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1497),X1498)))&(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1500),X1501))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1500,X1502)),hAPP_nat_bool(X1501,X1502))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_375_le__fun__def])])])])])). 0.56/0.82 fof(c_0_1264, plain, ![X695, X696, X698, X699, X700]:(((is_pname(esk32_2(X695,X696))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X695),X696)))&(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X695,esk32_2(X695,X696))),hAPP_pname_bool(X696,esk32_2(X695,X696))))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X695),X696))))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X698),X699))|(~is_pname(X700)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X698,X700)),hAPP_pname_bool(X699,X700)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_374_le__fun__def])])])])])])). 0.56/0.82 fof(c_0_1265, plain, ![X778, X779, X780, X781]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X780),X781))|(hAPP_nat_nat(plus_plus_nat(X780),X779)!=hAPP_nat_nat(plus_plus_nat(X778),X781)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X778),X779)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_618_less__add__eq__less])])])). 0.56/0.82 fof(c_0_1266, plain, ![X2211, X2212, X2213, X2214, X2215, X2216]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2214),X2213))|X2211!=image_pname_a(X2212,X2214)|~is_fun_pname_bool(X2214)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2211),image_pname_a(X2212,X2213)))|~is_fun_a_bool(X2211))&(((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk129_3(X2211,X2215,X2216)),X2216))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2211),image_pname_a(X2215,X2216)))|~is_fun_a_bool(X2211))&(X2211=image_pname_a(X2215,esk129_3(X2211,X2215,X2216))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2211),image_pname_a(X2215,X2216)))|~is_fun_a_bool(X2211)))&(is_fun_pname_bool(esk129_3(X2211,X2215,X2216))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2211),image_pname_a(X2215,X2216)))|~is_fun_a_bool(X2211)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_347_subset__image__iff])])])])])])). 0.56/0.82 fof(c_0_1267, plain, ![X1578, X1579, X1580]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk85_3(X1578,X1579,X1580)),X1580))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1578,X1580)),X1579)))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X1578,esk85_3(X1578,X1579,X1580))),X1579))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1578,X1580)),X1579)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_365_image__subsetI])])])])])). 0.56/0.82 fof(c_0_1268, plain, ![X1608, X1609, X1610]:((is_a(esk86_3(X1608,X1609,X1610))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1608,X1610)),X1609)))&((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk86_3(X1608,X1609,X1610)),X1610))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1608,X1610)),X1609)))&(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X1608,esk86_3(X1608,X1609,X1610))),X1609))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1608,X1610)),X1609))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_362_image__subsetI])])])])])). 0.56/0.82 cnf(c_0_1269, plain, (X2=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(rw,[status(thm)],[c_0_950, c_0_745])). 0.56/0.82 cnf(c_0_1270, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X2),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,X1))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))|~hBOOL(hAPP_fun_a_bool_bool(p(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,X1))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),mgt(the_com(body(X1))))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_951, c_0_847]), c_0_847]), c_0_847])). 0.56/0.82 fof(c_0_1271, plain, ![X804, X805, X806]:((((image_a_a(X804,esk39_3(X804,X805,X806))=X806|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X806),image_a_a(X804,X805)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X806))|~is_fun_a_bool(X806))&(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk39_3(X804,X805,X806)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X806),image_a_a(X804,X805)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X806))|~is_fun_a_bool(X806)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk39_3(X804,X805,X806)),X805))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X806),image_a_a(X804,X805)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X806))|~is_fun_a_bool(X806)))&(is_fun_a_bool(esk39_3(X804,X805,X806))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X806),image_a_a(X804,X805)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X806))|~is_fun_a_bool(X806))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_158_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1272, plain, ![X2060, X2061, X2062]:((is_a(esk116_3(X2060,X2061,X2062))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X2060,X2062)),X2061)))&((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk116_3(X2060,X2061,X2062)),X2062))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X2060,X2062)),X2061)))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(X2060,esk116_3(X2060,X2061,X2062))),X2061))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X2060,X2062)),X2061))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_363_image__subsetI])])])])). 0.56/0.82 fof(c_0_1273, plain, ![X1287, X1288, X1289]:((((is_fun_a_bool(esk70_3(X1287,X1288,X1289))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1289),image_a_nat(X1287,X1288)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1289)))&(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk70_3(X1287,X1288,X1289)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1289),image_a_nat(X1287,X1288)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1289))))&(X1289=image_a_nat(X1287,esk70_3(X1287,X1288,X1289))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1289),image_a_nat(X1287,X1288)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1289))))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk70_3(X1287,X1288,X1289)),X1288))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1289),image_a_nat(X1287,X1288)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1289)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_166_finite__subset__image])])])])])). 0.56/0.82 fof(c_0_1274, plain, ![X701, X702, X703]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X702),X703))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X701,X702)),image_a_nat(X701,X703)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_304_imageI])])). 0.56/0.82 fof(c_0_1275, plain, ![X1001, X1002, X1003]:((is_pname(esk48_3(X1001,X1002,X1003))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1001,X1003)),X1002)))&((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk48_3(X1001,X1002,X1003)),X1003))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1001,X1003)),X1002)))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1001,esk48_3(X1001,X1002,X1003))),X1002))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1001,X1003)),X1002))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_366_image__subsetI])])])])])). 0.56/0.82 fof(c_0_1276, plain, ![X229, X230, X232, X233, X234]:(((is_a(esk4_2(X229,X230))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X229),X230)))&(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X229,esk4_2(X229,X230))),hAPP_a_bool(X230,esk4_2(X229,X230))))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X229),X230))))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X232),X233))|(~is_a(X234)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X232,X234)),hAPP_a_bool(X233,X234)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_376_le__fun__def])])])])])])). 0.56/0.82 fof(c_0_1277, plain, ![X1713, X1714, X1715]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1714),X1715))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1714),X1713)),X1715))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_643_less__imp__diff__less])])])). 0.56/0.82 fof(c_0_1278, plain, ![X2206, X2207]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2206),hAPP_nat_nat(suc,X2207)))|(X2206=hAPP_nat_nat(suc,X2207)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2206),X2207))))&((X2206!=hAPP_nat_nat(suc,X2207)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2206),hAPP_nat_nat(suc,X2207))))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2206),X2207))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2206),hAPP_nat_nat(suc,X2207)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_119_le__Suc__eq])])])). 0.56/0.82 fof(c_0_1279, plain, ![X144, X145, X146]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X145),X146))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X145),hAPP_nat_nat(plus_plus_nat(X146),X144)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_622_trans__less__add1])])). 0.56/0.82 fof(c_0_1280, plain, ![X535, X536]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X535),X536))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X536)),X535)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X536),X535))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_78_Suc__diff__le])])])). 0.56/0.82 fof(c_0_1281, plain, ![X1197, X1198, X1199]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1198),X1199))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1197,X1198)),image_a_nat(X1197,X1199)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_349_image__mono])])])). 0.56/0.82 fof(c_0_1282, plain, ![X986, X987, X988]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X987),X988))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X987,X986)),hAPP_a_bool(X988,X986)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_379_le__funD])])). 0.56/0.82 fof(c_0_1283, plain, ![X1275, X1276, X1277]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1276),X1277))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1275,X1276)),image_a_pname(X1275,X1277)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_348_image__mono])])). 0.56/0.82 fof(c_0_1284, plain, ![X532, X533, X534]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X533),X534))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X533),hAPP_nat_nat(plus_plus_nat(X532),X534)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_616_termination__basic__simps_I2_J])])])). 0.56/0.82 fof(c_0_1285, plain, ![X610, X611, X612]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X611),X612))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X611),hAPP_nat_nat(plus_plus_nat(X612),X610)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_588_trans__le__add1])])])). 0.56/0.82 fof(c_0_1286, plain, ![X662, X663, X664]:((~hBOOL(X662)|~hBOOL(X663)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X662),X664))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X663),X664)))&(hBOOL(X662)|hBOOL(X663)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X662),X664))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X663),X664)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_520_xt1_I4_J])])])])). 0.56/0.82 fof(c_0_1287, plain, ![X735, X736, X737]:((~hBOOL(X736)|~hBOOL(X737)|(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X735),X736))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X735),X737))))&(hBOOL(X736)|hBOOL(X737)|(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X735),X736))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X735),X737))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_530_xt1_I3_J])])])])). 0.56/0.82 fof(c_0_1288, plain, ![X580, X581, X582]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X581),X582))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X581),hAPP_nat_nat(plus_plus_nat(X580),X582)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_611_termination__basic__simps_I4_J])])). 0.56/0.82 cnf(c_0_1289, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),mgt(X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))|~hBOOL(wt(X2))|~hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,esk46_2(X1,X2)))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_952, c_0_847]), c_0_847])). 0.56/0.82 fof(c_0_1290, plain, ![X2009, X2010, X2011, X2012, X2013]:((X2010!=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X2009),X2011))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2009),X2010)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2012),X2013))|X2013=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X2012),esk113_2(X2012,X2013))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_657_less__iff__Suc__add])])])])])). 0.56/0.82 fof(c_0_1291, plain, ![X1693, X1694]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1693),X1694))|X1694=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1693),esk93_2(X1693,X1694)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_673_less__imp__Suc__add])])])). 0.56/0.82 cnf(c_0_1292, plain, (hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_953])). 0.56/0.82 fof(c_0_1293, plain, ![X1953, X1954]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1953),esk110_2(X1953,X1954)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1953)),X1954)))&(X1954=hAPP_nat_nat(suc,esk110_2(X1953,X1954))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1953)),X1954)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_676_Suc__lessE])])])])). 0.56/0.82 fof(c_0_1294, plain, ![X1511, X1512]:((~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1511)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X1512),X1511)))))&(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1512)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X1512),X1511)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_75_finite__Collect__conjI])])])])). 0.56/0.82 fof(c_0_1295, plain, ![X654, X655]:(X655=X654|(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X654),X655))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X655),X654)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_647_linorder__neqE__nat])])])). 0.56/0.82 fof(c_0_1296, plain, ![X1761, X1762]:((~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1761)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1762),X1761)))))&(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1762)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1762),X1761)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_74_finite__Collect__conjI])])])])). 0.56/0.82 fof(c_0_1297, plain, ![X397, X398]:((~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X398)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X398),X397)))))&(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X397)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X398),X397)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_76_finite__Collect__conjI])])])). 0.56/0.82 fof(c_0_1298, plain, ![X439, X440]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk11_2(X439,X440)),X440))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X440),X439)))&(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk11_2(X439,X440)),X439))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X440),X439)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_357_subsetI])])])])])). 0.56/0.82 fof(c_0_1299, plain, ![X1553, X1554, X1555, X1556, X1557, X1558]:((image_a_pname(X1554,X1556)!=X1553|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1556),X1555))|~is_fun_a_bool(X1556)|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1553),image_a_pname(X1554,X1555)))|~is_fun_pname_bool(X1553))&(((image_a_pname(X1557,esk84_3(X1553,X1557,X1558))=X1553|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1553),image_a_pname(X1557,X1558)))|~is_fun_pname_bool(X1553))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk84_3(X1553,X1557,X1558)),X1558))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1553),image_a_pname(X1557,X1558)))|~is_fun_pname_bool(X1553)))&(is_fun_a_bool(esk84_3(X1553,X1557,X1558))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1553),image_a_pname(X1557,X1558)))|~is_fun_pname_bool(X1553)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_345_subset__image__iff])])])])])])). 0.56/0.82 fof(c_0_1300, plain, ![X1101, X1102]:((is_pname(esk57_2(X1101,X1102))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1102),X1101)))&((hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X1101,X1102)),X1102))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1102),X1101)))&(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X1101,X1102)),X1101))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1102),X1101))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_358_subsetI])])])])])). 0.56/0.82 cnf(c_0_1301, plain, (is_pname(esk46_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),mgt(X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))|~hBOOL(wt(X2))), inference(rw,[status(thm)],[c_0_954, c_0_847])). 0.56/0.82 cnf(c_0_1302, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_857])). 0.56/0.82 fof(c_0_1303, plain, ![X1461, X1462]:((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1461),X1462))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1462),hAPP_nat_nat(suc,X1461))))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1462),hAPP_nat_nat(suc,X1461)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1461),X1462)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_636_not__less__eq])])])). 0.56/0.82 fof(c_0_1304, plain, ![X1877, X1878, X1880, X1882]:(((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk102_2(X1877,X1878)),X1877))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1877)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk102_2(X1877,X1878)),X1878))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1877))))&(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1880))|(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1882),X1880))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1882),esk103_1(X1880)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_652_finite__nat__set__iff__bounded])])])])])])). 0.56/0.82 fof(c_0_1305, plain, ![X2122, X2123, X2125, X2127]:(((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk121_2(X2122,X2123)),X2122))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2122)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk121_2(X2122,X2123)),X2123))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2122))))&(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2125))|(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2127),X2125))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2127),esk122_1(X2125)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_372_finite__nat__set__iff__bounded__le])])])])])])])). 0.56/0.82 cnf(c_0_1306, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,insert_fun_a_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_955])). 0.56/0.82 cnf(c_0_1307, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,insert1325755072e_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_919])). 0.56/0.82 cnf(c_0_1308, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,insert_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_920])). 0.56/0.82 fof(c_0_1309, plain, ![X1509, X1510]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1510))|(~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1509),X1510))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1510)),hAPP_f696928925ol_nat(finite346522414t_bool,X1509)))|X1510=X1509))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_48_card__seteq])])])). 0.56/0.82 fof(c_0_1310, plain, ![X1600, X1601]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1601))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1600),X1601))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1601)),hAPP_f22106695ol_nat(finite_card_nat,X1600)))|X1601=X1600))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_53_card__seteq])])])). 0.56/0.82 fof(c_0_1311, plain, ![X2076, X2077, X2078]:(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2077),X2078))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X2076,X2077)),image_nat_a(X2076,X2078)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_306_imageI])])). 0.56/0.82 fof(c_0_1312, plain, ![X164, X165]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X164),X165))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X165),X164))), inference(variable_rename,[status(thm)],[fact_555_linorder__linear])). 0.56/0.82 fof(c_0_1313, plain, ![X1035, X1036]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1035),X1036))|X1035=hAPP_nat_nat(minus_minus_nat(X1036),hAPP_nat_nat(minus_minus_nat(X1036),X1035))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_127_diff__diff__cancel])])])). 0.56/0.82 fof(c_0_1314, plain, ![X715, X716]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X715),X716))|X716=hAPP_nat_nat(plus_plus_nat(X715),hAPP_nat_nat(minus_minus_nat(X716),X715))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_602_le__add__diff__inverse])])])). 0.56/0.82 fof(c_0_1315, plain, ![X1702, X1703, X1704]:((X1704!=X1702|hAPP_nat_nat(minus_minus_nat(X1702),X1703)=hAPP_nat_nat(minus_minus_nat(X1704),X1703)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1703),X1702))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1703),X1704)))&(hAPP_nat_nat(minus_minus_nat(X1702),X1703)!=hAPP_nat_nat(minus_minus_nat(X1704),X1703)|X1704=X1702|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1703),X1702))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1703),X1704)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_126_eq__diff__iff])])])])). 0.56/0.82 fof(c_0_1316, plain, ![X1972, X1973, X1974]:((is_a(esk111_3(X1972,X1973,X1974))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1972),image_a_nat(X1973,X1974))))&((X1972=hAPP_a_nat(X1973,esk111_3(X1972,X1973,X1974))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1972),image_a_nat(X1973,X1974))))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk111_3(X1972,X1973,X1974)),X1974))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1972),image_a_nat(X1973,X1974)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_355_imageE])])])])])). 0.56/0.82 cnf(c_0_1317, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))=image_pname_a(cOMBK_a_pname(X3),X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(rw,[status(thm)],[c_0_956, c_0_847])). 0.56/0.82 cnf(c_0_1318, plain, (hAPP_fun_a_bool_nat(finite_card_a,insert_a(X1,X2))=hAPP_fun_a_bool_nat(finite_card_a,X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))), inference(split_conjunct,[status(thm)],[c_0_957])). 0.56/0.82 fof(c_0_1319, plain, ![X1918, X1919]:(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1918),X1919))|hAPP_nat_nat(plus_plus_nat(X1919),hAPP_nat_nat(minus_minus_nat(X1918),X1919))=X1918), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_666_add__diff__inverse])])])). 0.56/0.82 fof(c_0_1320, plain, ![X227, X228]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X227),X228))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X227),hAPP_nat_nat(suc,X228)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_631_less__SucI])])). 0.56/0.82 fof(c_0_1321, plain, ![X1546, X1547]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1546),X1547))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1546),hAPP_nat_nat(suc,X1547)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_661_le__imp__less__Suc])])])). 0.56/0.82 fof(c_0_1322, plain, ![X490, X491]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X490),X491))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X490),hAPP_nat_nat(suc,X491)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_117_le__SucI])])])). 0.56/0.82 fof(c_0_1323, plain, ![X1796, X1797, X1798, X1800, X1801, X1802, X1803]:((((image_a_nat(X1797,esk96_3(X1796,X1797,X1798))=X1796|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1796),image_a_nat(X1797,X1798))))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk96_3(X1796,X1797,X1798)),X1798))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1796),image_a_nat(X1797,X1798)))))&(is_fun_a_bool(esk96_3(X1796,X1797,X1798))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1796),image_a_nat(X1797,X1798)))))&(image_a_nat(X1801,X1803)!=X1800|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1803),X1802))|~is_fun_a_bool(X1803)|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1800),image_a_nat(X1801,X1802))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_346_subset__image__iff])])])])])])). 0.56/0.82 fof(c_0_1324, plain, ![X305, X306]:(((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X305),X306))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X305),hAPP_nat_nat(suc,X306))))&(X306!=X305|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X305),hAPP_nat_nat(suc,X306)))))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X305),hAPP_nat_nat(suc,X306)))|(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X305),X306))|X306=X305))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_635_less__Suc__eq])])])). 0.56/0.82 cnf(c_0_1325, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X2)))), inference(split_conjunct,[status(thm)],[c_0_958])). 0.56/0.82 cnf(c_0_1326, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X2),X1))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X2)))), inference(split_conjunct,[status(thm)],[c_0_959])). 0.56/0.82 cnf(c_0_1327, plain, (X2=X1|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X2,X3)))|~is_a(X1)|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_960])). 0.56/0.82 fof(c_0_1328, plain, ![X362, X363]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X363),X362))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X362),X363))|X362=X363|(~is_fun_pname_bool(X362)|~is_fun_pname_bool(X363)))&((hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X363),X362))|X362!=X363|(~is_fun_pname_bool(X362)|~is_fun_pname_bool(X363)))&(hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X362),X363))|X362!=X363|(~is_fun_pname_bool(X362)|~is_fun_pname_bool(X363))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_552_order__eq__iff])])])). 0.56/0.82 cnf(c_0_1329, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))|~hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_953])). 0.56/0.82 fof(c_0_1330, plain, ![X1085, X1086]:((hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk53_2(X1085,X1086)),X1086))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1086)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk53_2(X1085,X1086)),X1085))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1086)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_674_bounded__nat__set__is__finite])])])])])). 0.56/0.82 cnf(c_0_1331, plain, (insert_a(hAPP_pname_a(X3,X1),image_pname_a(X3,X2))=image_pname_a(X3,X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_961])). 0.56/0.82 fof(c_0_1332, plain, ![X371, X372]:((X371=X372|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X371),X372))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X371),X372)))&((X371!=X372|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X371),X372)))&(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X371),X372))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X371),X372))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_641_nat__less__le])])])). 0.56/0.82 cnf(c_0_1333, plain, (hBOOL(hAPP_f54304608l_bool(X1,X2))|bot_bo1701429464l_bool=collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_747])). 0.56/0.82 cnf(c_0_1334, plain, (hBOOL(hAPP_nat_bool(X1,X2))|bot_bot_fun_nat_bool=collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_808])). 0.56/0.82 fof(c_0_1335, plain, ![X1758, X1759, X1760]:(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1759),X1760))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1758,X1759)),image_nat_a(X1758,X1760)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_350_image__mono])])). 0.56/0.82 cnf(c_0_1336, plain, (hBOOL(hAPP_a_bool(X2,X3))|X1=X3|~hBOOL(hAPP_a_bool(insert_a(X1,X2),X3))|~is_a(X1)|~is_a(X3)), inference(split_conjunct,[status(thm)],[c_0_774])). 0.56/0.82 fof(c_0_1337, plain, ![X1993, X1994]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1993),X1994))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1993)),hAPP_nat_nat(suc,X1994))))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1993)),hAPP_nat_nat(suc,X1994)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1993),X1994)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_634_Suc__less__eq])])). 0.56/0.82 fof(c_0_1338, plain, ![X1180, X1181, X1182, X1183, X1184]:((hAPP_nat_nat(plus_plus_nat(X1180),X1182)!=X1181|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1180),X1181)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1183),X1184))|hAPP_nat_nat(plus_plus_nat(X1183),esk63_2(X1183,X1184))=X1184)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_586_le__iff__add])])])])])). 0.56/0.82 cnf(c_0_1339, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X1),X2))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X1)))), inference(split_conjunct,[status(thm)],[c_0_962])). 0.56/0.82 cnf(c_0_1340, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X2),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X1)))), inference(split_conjunct,[status(thm)],[c_0_962])). 0.56/0.82 cnf(c_0_1341, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),X2))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X1)))), inference(split_conjunct,[status(thm)],[c_0_963])). 0.56/0.82 cnf(c_0_1342, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X2),X1))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X1)))), inference(split_conjunct,[status(thm)],[c_0_963])). 0.56/0.82 fof(c_0_1343, plain, ![X1963]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1963))|hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),X1963))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_3_finite__Collect__subsets])])])). 0.56/0.82 fof(c_0_1344, plain, ![X528]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X528))|hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),X528))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_1_finite__Collect__subsets])])])). 0.56/0.82 fof(c_0_1345, plain, ![X351]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X351))|hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X351))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_finite__Collect__subsets])])). 0.56/0.82 fof(c_0_1346, plain, ![X1362]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1362))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1362))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_5_finite__Collect__subsets])])). 0.56/0.82 cnf(c_0_1347, plain, (X2=hAPP_nat_nat(suc,esk82_2(X1,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_964])). 0.56/0.82 fof(c_0_1348, plain, ![X1699, X1701]:(((is_pname(esk94_1(X1699))|bot_bo844097828e_bool=X1699|~is_fun_pname_bool(X1699))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk94_1(X1699)),X1699))|bot_bo844097828e_bool=X1699|~is_fun_pname_bool(X1699)))&(bot_bo844097828e_bool!=X1699|(~is_pname(X1701)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1701),X1699)))|~is_fun_pname_bool(X1699))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_417_all__not__in__conv])])])])])])). 0.56/0.82 fof(c_0_1349, plain, ![X723, X724, X725]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X723),X724)),X725))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X723),X725))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_617_add__lessD1])])). 0.56/0.82 fof(c_0_1350, plain, ![X1850, X1852]:(((is_pname(esk99_1(X1850))|X1850=bot_bo844097828e_bool|~is_fun_pname_bool(X1850))&(hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk99_1(X1850)),X1850))|X1850=bot_bo844097828e_bool|~is_fun_pname_bool(X1850)))&(~is_pname(X1852)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1852),X1850))|X1850!=bot_bo844097828e_bool|~is_fun_pname_bool(X1850))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_414_ex__in__conv])])])])])])). 0.56/0.82 cnf(c_0_1351, plain, (hBOOL(hAPP_a_bool(insert_a(X3,X1),X2))|~hBOOL(hAPP_a_bool(X1,X2))|~is_a(X3)|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_774])). 0.56/0.82 cnf(c_0_1352, plain, (X1=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(X2),X1)=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))|~is_fun_pname_bool(X1)), inference(rw,[status(thm)],[c_0_965, c_0_847])). 0.56/0.82 fof(c_0_1353, plain, ![X1633, X1634, X1635]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1633),X1634)),X1635))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1633),X1635))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_593_add__leD1])])])). 0.56/0.82 fof(c_0_1354, plain, ![X373, X374, X375]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X375))|(~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X373),image_nat_fun_a_bool(X374,X375)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X373)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_143_finite__surj])])). 0.56/0.82 fof(c_0_1355, plain, ![X1232, X1233]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1232)),X1233))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1232),X1233))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_627_Suc__lessD])])])). 0.56/0.82 fof(c_0_1356, plain, ![X1537, X1538, X1539]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1539))|(~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1537),image_112932426a_bool(X1538,X1539)))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1537)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_137_finite__surj])])). 0.56/0.82 fof(c_0_1357, plain, ![X1594, X1595, X1596]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1596))|(~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1594),image_26036933t_bool(X1595,X1596)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1594)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_141_finite__surj])])). 0.56/0.82 fof(c_0_1358, plain, ![X613, X614, X615]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X615))|(~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X613),image_2129980159t_bool(X614,X615)))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X613)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_135_finite__surj])])])). 0.56/0.82 fof(c_0_1359, plain, ![X1616, X1617, X1618]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1618))|(~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1616),image_1655916159e_bool(X1617,X1618)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1616)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_142_finite__surj])])). 0.56/0.82 fof(c_0_1360, plain, ![X1194, X1195, X1196]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1196))|(~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1194),image_47868345e_bool(X1195,X1196)))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1194)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_136_finite__surj])])). 0.56/0.82 fof(c_0_1361, plain, ![X2021, X2022, X2023]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2023))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2021),image_fun_a_bool_nat(X2022,X2023)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2021)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_153_finite__surj])])])). 0.56/0.82 fof(c_0_1362, plain, ![X352, X353, X354]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X354))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X352),image_496248727ol_nat(X353,X354)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X352)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_151_finite__surj])])])). 0.56/0.82 fof(c_0_1363, plain, ![X280, X281, X282]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X282))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X280),image_1551609309ol_nat(X281,X282)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X280)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_152_finite__surj])])])). 0.56/0.82 cnf(c_0_1364, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),X1))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))|~hBOOL(hAPP_a_bool(X1,X2))), inference(rw,[status(thm)],[c_0_966, c_0_847])). 0.56/0.82 fof(c_0_1365, plain, ![X407, X408, X409]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X409))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X407),image_nat_nat(X408,X409)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X407)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_145_finite__surj])])). 0.56/0.82 fof(c_0_1366, plain, ![X2053, X2054, X2055]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2055))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2053),image_pname_nat(X2054,X2055)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2053)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_139_finite__surj])])])). 0.56/0.82 fof(c_0_1367, plain, ![X1060, X1061, X1062]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1062))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1060),image_1854862208_pname(X1061,X1062)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1060)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_149_finite__surj])])). 0.56/0.82 fof(c_0_1368, plain, ![X856, X857, X858]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X858))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X856),image_1921560913_pname(X857,X858)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X856)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_147_finite__surj])])])). 0.56/0.82 cnf(c_0_1369, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X2)),X1))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))|~hBOOL(hAPP_a_bool(X1,X2))), inference(rw,[status(thm)],[c_0_967, c_0_847])). 0.56/0.82 cnf(c_0_1370, plain, (X1=bot_bot_fun_a_bool|X1=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_968, c_0_847]), c_0_847])). 0.56/0.82 fof(c_0_1371, plain, ![X973, X974, X975]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X975))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X973),image_1283814551_pname(X974,X975)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X973)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_148_finite__surj])])])). 0.56/0.82 fof(c_0_1372, plain, ![X1744, X1745, X1746]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1746))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1744),image_nat_pname(X1745,X1746)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1744)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_144_finite__surj])])])). 0.56/0.82 fof(c_0_1373, plain, ![X1640, X1641, X1642]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1642))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1640),image_pname_pname(X1641,X1642)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1640)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_138_finite__surj])])])). 0.56/0.82 fof(c_0_1374, plain, ![X2159, X2160]:((~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2159),hAPP_nat_nat(suc,X2160)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2159),X2160)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2159),X2160))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2159),hAPP_nat_nat(suc,X2160))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_659_less__Suc__eq__le])])). 0.56/0.82 fof(c_0_1375, plain, ![X184, X185, X186]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X186))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X184),image_a_nat(X185,X186)))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X184)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_150_finite__surj])])])). 0.56/0.82 fof(c_0_1376, plain, ![X2239, X2240, X2241]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2241))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2239),image_a_pname(X2240,X2241)))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2239)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_146_finite__surj])])])). 0.56/0.82 fof(c_0_1377, plain, ![X310, X311]:((~hBOOL(X310)|hBOOL(X311)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X311),X310))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X310),X311)))&(~hBOOL(X311)|hBOOL(X310)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X311),X310))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X310),X311)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_505_xt1_I5_J])])])])). 0.56/0.82 fof(c_0_1378, plain, ![X1272, X1273, X1274]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1273),X1274))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1272,X1273)),image_pname_a(X1272,X1274)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_imageI])])). 0.56/0.82 cnf(c_0_1379, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),X1))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_969])). 0.56/0.82 cnf(c_0_1380, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X3,X1)),insert_a(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_970])). 0.56/0.82 fof(c_0_1381, plain, ![X190, X191]:((~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X191),X190))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X190),X191))|X190=X191|(~is_fun_a_bool(X190)|~is_fun_a_bool(X191)))&((hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X191),X190))|X190!=X191|(~is_fun_a_bool(X190)|~is_fun_a_bool(X191)))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X190),X191))|X190!=X191|(~is_fun_a_bool(X190)|~is_fun_a_bool(X191))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_554_order__eq__iff])])])). 0.56/0.82 fof(c_0_1382, plain, ![X474, X475, X476]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X475),X476))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X474),X475))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X474),X476)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_286_set__mp])])])). 0.56/0.82 cnf(c_0_1383, plain, (X1=X2|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_971, c_0_847]), c_0_847])). 0.56/0.82 fof(c_0_1384, plain, ![X324, X325]:((X324!=X325|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X325),hAPP_nat_nat(suc,X324)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X324),X325)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X325),hAPP_nat_nat(suc,X324)))|X324=X325|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X324),X325)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_663_le__less__Suc__eq])])])])). 0.56/0.82 cnf(c_0_1385, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))), inference(split_conjunct,[status(thm)],[c_0_972])). 0.56/0.82 fof(c_0_1386, plain, ![X471, X472]:((is_a(esk15_2(X471,X472))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X472),X471)))&((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk15_2(X471,X472)),X472))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X472),X471)))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk15_2(X471,X472)),X471))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X472),X471))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_359_subsetI])])])])). 0.56/0.82 fof(c_0_1387, plain, ![X447, X448, X449]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X448),X449))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X447,X448)),image_pname_a(X447,X449)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_351_image__mono])])])). 0.56/0.82 fof(c_0_1388, plain, ![X2099, X2100, X2101]:((bot_bot_fun_nat_bool!=X2099|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2100),X2099)))&(hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk118_1(X2101)),X2101))|bot_bot_fun_nat_bool=X2101)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_416_all__not__in__conv])])])])])])). 0.56/0.82 fof(c_0_1389, plain, ![X1077, X1078, X1079]:((~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1078),X1077))|X1077!=bot_bot_fun_nat_bool)&(X1079=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk52_1(X1079)),X1079)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_413_ex__in__conv])])])])])). 0.56/0.82 cnf(c_0_1390, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),insert_a(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_973])). 0.56/0.82 cnf(c_0_1391, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_974])). 0.56/0.82 fof(c_0_1392, plain, ![X142, X143]:(((hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X142),X143))|X142!=X143)&(hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X143),X142))|X142!=X143))&(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X142),X143))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X143),X142))|X142=X143)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_270_set__eq__subset])])])). 0.56/0.82 cnf(c_0_1393, plain, (X1=X2|~is_a(X2)|~is_a(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))))), inference(rw,[status(thm)],[c_0_975, c_0_847])). 0.56/0.82 fof(c_0_1394, plain, ![X596, X597]:((~hBOOL(X596)|~hBOOL(X597)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X597),X596)))&(hBOOL(X596)|hBOOL(X597)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X597),X596)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_545_order__eq__refl])])])])). 0.56/0.82 fof(c_0_1395, plain, ![X2236, X2238]:(((hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk133_1(X2236)),X2236))|X2236=bot_bot_fun_a_bool|~is_fun_a_bool(X2236))&(is_a(esk133_1(X2236))|X2236=bot_bot_fun_a_bool|~is_fun_a_bool(X2236)))&(~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2238),X2236))|~is_a(X2238)|X2236!=bot_bot_fun_a_bool|~is_fun_a_bool(X2236))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_415_ex__in__conv])])])])])). 0.56/0.82 fof(c_0_1396, plain, ![X1177, X1179]:(((is_a(esk62_1(X1177))|X1177=bot_bot_fun_a_bool|~is_fun_a_bool(X1177))&(hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk62_1(X1177)),X1177))|X1177=bot_bot_fun_a_bool|~is_fun_a_bool(X1177)))&(X1177!=bot_bot_fun_a_bool|(~is_a(X1179)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1179),X1177)))|~is_fun_a_bool(X1177))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_418_all__not__in__conv])])])])])])). 0.56/0.82 fof(c_0_1397, plain, ![X336, X337]:(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X336),X337))|(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X337),X336))|X337=X336)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_85_le__antisym])])])). 0.56/0.82 fof(c_0_1398, plain, ![X1531, X1532]:((~hBOOL(hAPP_nat_bool(X1532,X1531))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1531),X1532)))&(~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1531),X1532))|hBOOL(hAPP_nat_bool(X1532,X1531)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_287_mem__def])])). 0.56/0.82 fof(c_0_1399, plain, ![X1390, X1391]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1391))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1390,X1391)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_9_finite__imageI])])])). 0.56/0.82 fof(c_0_1400, plain, ![X1005, X1006]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1006))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X1005,X1006)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_13_finite__imageI])])])). 0.56/0.82 cnf(c_0_1401, plain, (hAPP_nat_nat(suc,zero_zero_nat)=X1|X2=hAPP_nat_nat(suc,zero_zero_nat)|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X1),X2)), inference(split_conjunct,[status(thm)],[c_0_976])). 0.56/0.82 cnf(c_0_1402, plain, (hAPP_nat_nat(suc,zero_zero_nat)=one_one_nat), inference(split_conjunct,[status(thm)],[fact_686_One__nat__def]), ['final']). 0.56/0.82 fof(c_0_1403, plain, ![X1869, X1870]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1870))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1869,X1870)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_7_finite__imageI])])])). 0.56/0.82 fof(c_0_1404, plain, ![X1859, X1860]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1860))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X1859,X1860)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_11_finite__imageI])])). 0.56/0.82 fof(c_0_1405, plain, ![X355, X356]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X356))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X355,X356)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_12_finite__imageI])])). 0.56/0.82 fof(c_0_1406, plain, ![X794, X795]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X795))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X794,X795)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_finite__imageI])])). 0.56/0.82 fof(c_0_1407, plain, ![X380, X381]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X381))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X380,X381)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_19_finite__imageI])])). 0.56/0.82 fof(c_0_1408, plain, ![X1708, X1709]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1709))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1708,X1709)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_21_finite__imageI])])])). 0.56/0.82 fof(c_0_1409, plain, ![X1944, X1945]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1945))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X1944,X1945)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_20_finite__imageI])])). 0.56/0.82 fof(c_0_1410, plain, ![X1689, X1690]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1690))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X1689,X1690)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_15_finite__imageI])])). 0.56/0.82 fof(c_0_1411, plain, ![X297, X298]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X298))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X297,X298)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_17_finite__imageI])])). 0.56/0.82 fof(c_0_1412, plain, ![X219, X220]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X220))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X219,X220)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_16_finite__imageI])])). 0.56/0.82 cnf(c_0_1413, plain, (hAPP_nat_nat(suc,zero_zero_nat)=X1|zero_zero_nat=X1|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X1),X2)), inference(split_conjunct,[status(thm)],[c_0_976])). 0.56/0.82 fof(c_0_1414, plain, ![X547]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X547))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),X547))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_finite__Collect__subsets])])). 0.56/0.82 fof(c_0_1415, plain, ![X945, X946]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X946),X945))|~hBOOL(X945)|~hBOOL(X946)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fconj_1_1_U])])). 0.56/0.82 fof(c_0_1416, plain, ![X1956, X1957]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1957))|(~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1956),X1957))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1956)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_111_rev__finite__subset])])). 0.56/0.82 fof(c_0_1417, plain, ![X2019, X2020]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2020))|(~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2019),X2020))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2019)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_109_rev__finite__subset])])])). 0.56/0.82 fof(c_0_1418, plain, ![X1567, X1568]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1568))|(~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1567),X1568))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1567)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_110_rev__finite__subset])])])). 0.56/0.82 fof(c_0_1419, plain, ![X154, X155]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X155))|(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X154),X155))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X154)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_114_rev__finite__subset])])). 0.56/0.82 cnf(c_0_1420, plain, (X1=zero_zero_nat|hAPP_nat_nat(suc,zero_zero_nat)=X1|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_977])). 0.56/0.82 fof(c_0_1421, plain, ![X404, X405]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X405))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X404,X405)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_18_finite__imageI])])])). 0.56/0.82 fof(c_0_1422, plain, ![X1507, X1508]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1508))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X1507,X1508)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_finite__imageI])])). 0.56/0.82 fof(c_0_1423, plain, ![X1071, X1072]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1072))|(~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1071),X1072))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1071)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_113_rev__finite__subset])])])). 0.56/0.82 fof(c_0_1424, plain, ![X338, X339]:((zero_zero_nat!=hAPP_nat_nat(minus_minus_nat(X338),X339)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X338),X339)))&(~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X338),X339))|zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X338),X339))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_685_diff__is__0__eq])])). 0.56/0.82 cnf(c_0_1425, plain, (X1=insert_a(X2,X1)|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_978])). 0.56/0.82 fof(c_0_1426, plain, ![X2189]:(~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2189),u))|hBOOL(wt(the_com(body(X2189))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_567_assms_I4_J])])). 0.56/0.82 cnf(c_0_1427, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_958])). 0.56/0.82 cnf(c_0_1428, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,collect_fun_nat_bool(cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X2),X1))))), inference(split_conjunct,[status(thm)],[c_0_958])). 0.56/0.82 cnf(c_0_1429, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_959])). 0.56/0.82 cnf(c_0_1430, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X2),X1))))), inference(split_conjunct,[status(thm)],[c_0_959])). 0.56/0.82 cnf(c_0_1431, hypothesis, (is_fun_a_bool(insert_a(X2,X1))|~is_fun_a_bool(X1)|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_979])). 0.56/0.82 fof(c_0_1432, plain, ![X1664, X1665, X1666]:(~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1666))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1664),image_fun_a_bool_a(X1665,X1666)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1664)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_134_finite__surj])])])). 0.56/0.82 fof(c_0_1433, plain, ![X1366, X1367, X1368]:(~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1368))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1366),image_fun_nat_bool_a(X1367,X1368)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1366)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_132_finite__surj])])])). 0.56/0.82 fof(c_0_1434, plain, ![X1740, X1741, X1742]:(~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1742))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1740),image_876012084bool_a(X1741,X1742)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1740)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_133_finite__surj])])])). 0.56/0.82 fof(c_0_1435, plain, ![X1097, X1098]:(~is_fun_a_bool(X1097)|~is_fun_a_bool(X1098)|(X1098=X1097|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1097),X1098)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__fun_It__a_Mtc__HOL__Obool_J_T])])])). 0.56/0.82 fof(c_0_1436, plain, ![X2204, X2205]:(~is_fun_pname_bool(X2204)|~is_fun_pname_bool(X2205)|(X2205=X2204|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X2204),X2205)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_T])])])). 0.56/0.82 fof(c_0_1437, plain, ![X670, X671]:(zero_zero_nat!=hAPP_nat_nat(minus_minus_nat(X670),X671)|(zero_zero_nat!=hAPP_nat_nat(minus_minus_nat(X671),X670)|X670=X671)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_687_diffs0__imp__equal])])). 0.56/0.82 fof(c_0_1438, plain, ![X1519, X1520]:(hBOOL(X1520)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1520),X1519))), inference(variable_rename,[status(thm)],[help_fimplies_1_1_U])). 0.56/0.82 fof(c_0_1439, plain, ![X2140, X2141, X2142]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2142))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2140),image_nat_a(X2141,X2142)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2140)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_140_finite__surj])])])). 0.56/0.82 fof(c_0_1440, plain, ![X1564, X1565]:((~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1564)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1565)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1564),X1565)))))&((hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1564)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1564),X1565)))))&(hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1565)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1564),X1565))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_91_finite__Collect__disjI])])])). 0.56/0.82 cnf(c_0_1441, plain, (X1=zero_zero_nat|zero_zero_nat=X2|hAPP_nat_nat(suc,zero_zero_nat)!=hAPP_nat_nat(plus_plus_nat(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_977])). 0.56/0.82 fof(c_0_1442, plain, ![X1057, X1058, X1059]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1058),X1059))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1057),X1058))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1057),X1059)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_504_xt1_I6_J])])])). 0.56/0.82 fof(c_0_1443, plain, ![X364, X365]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X364),X365))|~hBOOL(X365)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fimplies_2_1_U])])). 0.56/0.82 fof(c_0_1444, plain, ![X2171, X2173, X2174]:(((is_fun_pname_bool(esk126_1(X2171))|collec1974731493e_bool(X2171)=bot_bo1649642514l_bool)&(hBOOL(hAPP_f1664156314l_bool(X2171,esk126_1(X2171)))|collec1974731493e_bool(X2171)=bot_bo1649642514l_bool))&(collec1974731493e_bool(X2173)!=bot_bo1649642514l_bool|(~is_fun_pname_bool(X2174)|~hBOOL(hAPP_f1664156314l_bool(X2173,X2174))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_400_Collect__empty__eq])])])])])])])). 0.56/0.82 fof(c_0_1445, plain, ![X1931, X1932, X1933]:((bot_bo1649642514l_bool!=collec1974731493e_bool(X1931)|(~is_fun_pname_bool(X1932)|~hBOOL(hAPP_f1664156314l_bool(X1931,X1932))))&((is_fun_pname_bool(esk108_1(X1933))|bot_bo1649642514l_bool=collec1974731493e_bool(X1933))&(hBOOL(hAPP_f1664156314l_bool(X1933,esk108_1(X1933)))|bot_bo1649642514l_bool=collec1974731493e_bool(X1933)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_409_empty__Collect__eq])])])])])])])). 0.56/0.82 fof(c_0_1446, plain, ![X1441, X1442]:(~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1442))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X1441,X1442)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_10_finite__imageI])])])). 0.56/0.82 fof(c_0_1447, plain, ![X943, X944]:((~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X944)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X944),X943)))))&(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X943)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X944),X943)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_72_finite__Collect__conjI])])])). 0.56/0.82 cnf(c_0_1448, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),insert_a(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_980])). 0.56/0.82 fof(c_0_1449, plain, ![X1620, X1621, X1622]:((bot_bo844097828e_bool!=collect_pname(X1620)|(~is_pname(X1621)|~hBOOL(hAPP_pname_bool(X1620,X1621))))&((is_pname(esk88_1(X1622))|bot_bo844097828e_bool=collect_pname(X1622))&(hBOOL(hAPP_pname_bool(X1622,esk88_1(X1622)))|bot_bo844097828e_bool=collect_pname(X1622)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_407_empty__Collect__eq])])])])])])])). 0.56/0.82 fof(c_0_1450, plain, ![X902, X903]:(~is_pname(X902)|~is_pname(X903)|(X902=X903|~hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X902),X903)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__Com__Opname_T])])])). 0.56/0.82 fof(c_0_1451, plain, ![X1063, X1064]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1063),X1064))|hBOOL(hAPP_pname_bool(X1064,X1063)))&(~hBOOL(hAPP_pname_bool(X1064,X1063))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1063),X1064)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_mem__def])])). 0.56/0.82 fof(c_0_1452, plain, ![X290, X291, X292]:((hAPP_nat_nat(plus_plus_nat(X292),X291)!=hAPP_nat_nat(plus_plus_nat(X290),X291)|X290=X292)&(X290!=X292|hAPP_nat_nat(plus_plus_nat(X292),X291)=hAPP_nat_nat(plus_plus_nat(X290),X291))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_574_nat__add__right__cancel])])). 0.56/0.82 fof(c_0_1453, plain, ![X865, X866, X867]:((hAPP_nat_nat(plus_plus_nat(X865),X866)!=hAPP_nat_nat(plus_plus_nat(X865),X867)|X866=X867)&(X866!=X867|hAPP_nat_nat(plus_plus_nat(X865),X866)=hAPP_nat_nat(plus_plus_nat(X865),X867))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_575_nat__add__left__cancel])])). 0.56/0.82 fof(c_0_1454, plain, ![X1048, X1050, X1051]:(((is_pname(esk49_1(X1048))|bot_bo844097828e_bool=collect_pname(X1048))&(hBOOL(hAPP_pname_bool(X1048,esk49_1(X1048)))|bot_bo844097828e_bool=collect_pname(X1048)))&(bot_bo844097828e_bool!=collect_pname(X1050)|(~is_pname(X1051)|~hBOOL(hAPP_pname_bool(X1050,X1051))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_398_Collect__empty__eq])])])])])])])). 0.56/0.82 fof(c_0_1455, plain, ![X638, X639, X640]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X640))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X638),image_a_a(X639,X640)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X638)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_131_finite__surj])])])). 0.56/0.82 fof(c_0_1456, plain, ![X1822, X1823]:(~is_a(X1822)|~is_a(X1823)|(~hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1822),X1823))|X1823=X1822)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000t__a_T])])])). 0.56/0.82 cnf(c_0_1457, plain, (hBOOL(hAPP_f54304608l_bool(X1,esk128_1(X1)))|bot_bo1701429464l_bool=collect_fun_nat_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_981])). 0.56/0.82 fof(c_0_1458, plain, ![X819, X820]:(~is_fun_a_bool(X819)|~is_a(X820)|is_bool(hAPP_a_bool(X819,X820))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000t__a_000tc__HOL__Obool])])])). 0.56/0.82 cnf(c_0_1459, plain, (hBOOL(hAPP_f54304608l_bool(X1,esk31_1(X1)))|bot_bo1701429464l_bool=collect_fun_nat_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_818])). 0.56/0.82 fof(c_0_1460, plain, ![X1190, X1192, X1193]:(((is_a(esk64_1(X1190))|collect_a(X1190)=bot_bot_fun_a_bool)&(hBOOL(hAPP_a_bool(X1190,esk64_1(X1190)))|collect_a(X1190)=bot_bot_fun_a_bool))&(collect_a(X1192)!=bot_bot_fun_a_bool|(~is_a(X1193)|~hBOOL(hAPP_a_bool(X1192,X1193))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_402_Collect__empty__eq])])])])])])])). 0.56/0.82 fof(c_0_1461, plain, ![X634, X635, X636]:((collect_a(X634)!=bot_bot_fun_a_bool|(~is_a(X635)|~hBOOL(hAPP_a_bool(X634,X635))))&((is_a(esk29_1(X636))|collect_a(X636)=bot_bot_fun_a_bool)&(hBOOL(hAPP_a_bool(X636,esk29_1(X636)))|collect_a(X636)=bot_bot_fun_a_bool))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_411_empty__Collect__eq])])])])])])])). 0.56/0.82 fof(c_0_1462, plain, ![X1448, X1449, X1450]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1450))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1448),image_pname_a(X1449,X1450)))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1448)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_154_finite__surj])])). 0.56/0.82 cnf(c_0_1463, plain, (hBOOL(hAPP_nat_bool(X1,esk100_1(X1)))|collect_nat(X1)=bot_bot_fun_nat_bool), inference(split_conjunct,[status(thm)],[c_0_982])). 0.56/0.82 fof(c_0_1464, hypothesis, ![X1735, X1736]:(~is_fun_pname_bool(X1736)|~is_fun1661590463l_bool(X1735)|is_bool(hAPP_f1664156314l_bool(X1735,X1736))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool])])])). 0.56/0.82 fof(c_0_1465, plain, ![X1305, X1306]:(~is_fun_pname_bool(X1305)|~is_pname(X1306)|is_bool(hAPP_pname_bool(X1305,X1306))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__HOL__Obool])])). 0.56/0.82 cnf(c_0_1466, plain, (hBOOL(hAPP_nat_bool(X1,esk5_1(X1)))|collect_nat(X1)=bot_bot_fun_nat_bool), inference(split_conjunct,[status(thm)],[c_0_819])). 0.56/0.82 cnf(c_0_1467, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(X2,X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_983])). 0.56/0.82 cnf(c_0_1468, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_972])). 0.56/0.82 fof(c_0_1469, plain, ![X1897, X1899, X1900]:(((is_fun_a_bool(esk106_1(X1897))|bot_bo1389914601l_bool=collect_fun_a_bool(X1897))&(hBOOL(hAPP_fun_a_bool_bool(X1897,esk106_1(X1897)))|bot_bo1389914601l_bool=collect_fun_a_bool(X1897)))&(bot_bo1389914601l_bool!=collect_fun_a_bool(X1899)|(~is_fun_a_bool(X1900)|~hBOOL(hAPP_fun_a_bool_bool(X1899,X1900))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_401_Collect__empty__eq])])])])])])])). 0.56/0.82 fof(c_0_1470, plain, ![X868, X869, X870]:((bot_bo1389914601l_bool!=collect_fun_a_bool(X868)|(~is_fun_a_bool(X869)|~hBOOL(hAPP_fun_a_bool_bool(X868,X869))))&((is_fun_a_bool(esk42_1(X870))|bot_bo1389914601l_bool=collect_fun_a_bool(X870))&(hBOOL(hAPP_fun_a_bool_bool(X870,esk42_1(X870)))|bot_bo1389914601l_bool=collect_fun_a_bool(X870)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_410_empty__Collect__eq])])])])])])])). 0.56/0.82 fof(c_0_1471, plain, ![X608, X609]:(hAPP_nat_nat(suc,X608)!=hAPP_nat_nat(suc,X609)|X608=X609), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_81_Suc__inject])])). 0.56/0.82 fof(c_0_1472, plain, ![X506]:((~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X506),bot_bo844097828e_bool))|X506=bot_bo844097828e_bool|~is_fun_pname_bool(X506))&(X506!=bot_bo844097828e_bool|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X506),bot_bo844097828e_bool))|~is_fun_pname_bool(X506))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_436_bot__unique])])])])). 0.56/0.82 fof(c_0_1473, hypothesis, ![X1405, X1406]:(~is_fun_a_bool(X1406)|~is_fun949378684l_bool(X1405)|is_bool(hAPP_fun_a_bool_bool(X1405,X1406))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool])])])). 0.56/0.82 fof(c_0_1474, plain, ![X885, X886]:(~is_fun_pname_bool(X886)|is_fun949378684l_bool(image_112932426a_bool(X885,X886))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J])])). 0.56/0.82 fof(c_0_1475, plain, ![X766, X767]:(~is_fun949378684l_bool(X767)|is_fun949378684l_bool(cOMBB_2140588453a_bool(X766,X767))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool])])). 0.56/0.82 fof(c_0_1476, plain, ![X738, X739]:(~is_fun_a_bool(X739)|is_fun949378684l_bool(image_a_fun_a_bool(X738,X739))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J])])). 0.56/0.82 fof(c_0_1477, plain, ![X1137, X1138]:(~is_pname(X1138)|is_fun949378684l_bool(hAPP_p1824510254l_bool(X1137,X1138))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__H])])])). 0.56/0.82 fof(c_0_1478, plain, ![X1521, X1522]:(~is_fun949378684l_bool(X1522)|is_fun949378684l_bool(hAPP_f2117159681l_bool(X1521,X1522))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc___001])])])). 0.56/0.82 fof(c_0_1479, hypothesis, ![X1857, X1858]:(~is_a(X1858)|is_fun949378684l_bool(hAPP_a85458249l_bool(X1857,X1858))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J])])). 0.56/0.82 fof(c_0_1480, plain, ![X1643, X1644]:(~is_bool(X1643)|hAPP_a_bool(cOMBK_bool_a(X1643),X1644)=X1643), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000t__a_U])])). 0.56/0.82 fof(c_0_1481, plain, ![X1107, X1108]:(~is_fun949378684l_bool(X1108)|is_fun949378684l_bool(cOMBS_1035972772l_bool(X1107,X1108))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc__HOL__Obo])])])). 0.56/0.82 fof(c_0_1482, plain, ![X1756, X1757]:(~is_fun949378684l_bool(X1757)|is_bool(hAPP_f621171935l_bool(X1756,X1757))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_J_000tc__])])). 0.56/0.82 fof(c_0_1483, plain, ![X150, X151]:(~is_fun1661590463l_bool(X151)|is_bool(hAPP_f1935102916l_bool(X150,X151))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo])])). 0.56/0.82 fof(c_0_1484, plain, ![X2151, X2152]:(~is_bool(X2152)|is_bool(hAPP_bool_bool(X2151,X2152))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool])])). 0.56/0.82 fof(c_0_1485, plain, ![X1392, X1393]:(~is_fun949378684l_bool(X1393)|is_fun_a_bool(image_fun_a_bool_a(X1392,X1393))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a])])). 0.56/0.82 fof(c_0_1486, plain, ![X2242, X2243]:(~is_fun_a_bool(X2243)|is_fun_a_bool(image_a_a(X2242,X2243))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000t__a_000t__a])])). 0.56/0.82 fof(c_0_1487, plain, ![X1867, X1868]:(~is_fun_pname_bool(X1868)|is_fun_a_bool(hAPP_f1051908748a_bool(X1867,X1868))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__H])])])). 0.56/0.82 fof(c_0_1488, plain, ![X1382, X1383]:(~is_fun1661590463l_bool(X1383)|is_fun_a_bool(image_876012084bool_a(X1382,X1383))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000t__a])])])). 0.56/0.82 fof(c_0_1489, plain, ![X1459, X1460]:(~is_bool(X1459)|X1459=hAPP_f54304608l_bool(cOMBK_1994329625t_bool(X1459),X1460)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool])])])). 0.56/0.82 fof(c_0_1490, plain, ![X1848, X1849]:(hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1849),X1848))|~hBOOL(X1849)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fdisj_1_1_U])])). 0.56/0.82 fof(c_0_1491, plain, ![X1019, X1020]:(~hBOOL(X1020)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1019),X1020))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fdisj_2_1_U])])). 0.56/0.82 fof(c_0_1492, plain, ![X492, X493]:(~is_fun_a_bool(X493)|is_fun_a_bool(cOMBB_bool_bool_a(X492,X493))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a])])). 0.56/0.82 fof(c_0_1493, plain, ![X1816, X1817]:(~is_pname(X1817)|is_fun_a_bool(hAPP_p1534023578a_bool(X1816,X1817))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J])])])). 0.56/0.82 fof(c_0_1494, plain, ![X976, X977]:(~is_fun_a_bool(X977)|is_fun1661590463l_bool(image_819518260e_bool(X976,X977))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_Oimage_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])])])). 0.56/0.82 fof(c_0_1495, plain, ![X2042, X2043]:(~is_fun1661590463l_bool(X2043)|is_fun1661590463l_bool(cOMBB_307249310e_bool(X2042,X2043))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc_])])])). 0.56/0.82 fof(c_0_1496, plain, ![X269, X270]:(~is_bool(X269)|X269=hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X269),X270)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obo])])). 0.56/0.82 fof(c_0_1497, plain, ![X334, X335]:(X335=X334|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X334),X335))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_T])])). 0.56/0.82 fof(c_0_1498, plain, ![X1573, X1574]:(X1574=X1573|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1573),X1574))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fequal_1_1_fequal_000tc__Nat__Onat_T])])). 0.56/0.82 fof(c_0_1499, plain, ![X283, X284]:(~is_fun_pname_bool(X284)|is_fun1661590463l_bool(image_47868345e_bool(X283,X284))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_])])). 0.56/0.82 fof(c_0_1500, plain, ![X2088, X2089]:(~is_fun1661590463l_bool(X2089)|is_fun1661590463l_bool(cOMBS_350070575l_bool(X2088,X2089))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__Obool_000t])])])). 0.56/0.82 fof(c_0_1501, plain, ![X395, X396]:(~is_fun1661590463l_bool(X396)|is_fun1661590463l_bool(hAPP_f559147733l_bool(X395,X396))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__HOL__Oboo_002])])])). 0.56/0.82 fof(c_0_1502, hypothesis, ![X1451, X1452]:(~is_pname(X1452)|is_fun1661590463l_bool(hAPP_p338031245l_bool(X1451,X1452))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obo])])])). 0.56/0.82 fof(c_0_1503, plain, ![X1069, X1070]:(~is_bool(X1069)|X1069=hAPP_pname_bool(cOMBK_bool_pname(X1069),X1070)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Opname_U])])). 0.56/0.82 cnf(c_0_1504, plain, (X1=bot_bot_nat|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),bot_bot_nat))), inference(split_conjunct,[status(thm)],[c_0_984])). 0.56/0.82 cnf(c_0_1505, plain, (bot_bot_nat=zero_zero_nat), inference(split_conjunct,[status(thm)],[fact_697_bot__nat__def]), ['final']). 0.56/0.82 fof(c_0_1506, plain, ![X451]:((X451!=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X451),bot_bot_fun_nat_bool)))&(~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X451),bot_bot_fun_nat_bool))|X451=bot_bot_fun_nat_bool)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_464_subset__empty])])). 0.56/0.82 fof(c_0_1507, plain, ![X1780, X1781]:(~is_a(X1781)|is_fun1661590463l_bool(hAPP_a217006258l_bool(X1780,X1781))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000t__a_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__H])])). 0.56/0.82 fof(c_0_1508, plain, ![X1081, X1082]:(~is_fun_pname_bool(X1082)|is_fun1661590463l_bool(hAPP_f434788991l_bool(X1081,X1082))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_Itc])])). 0.56/0.82 fof(c_0_1509, plain, ![X1829, X1830]:(~is_fun_a_bool(X1830)|is_pname(hAPP_f1128469712_pname(X1829,X1830))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1510, plain, ![X1725, X1726]:(~is_pname(X1726)|is_pname(hAPP_pname_pname(X1725,X1726))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1511, plain, ![X958, X959]:(~is_bool(X958)|X958=hAPP_nat_bool(cOMBK_bool_nat(X958),X959)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U])])). 0.56/0.82 fof(c_0_1512, plain, ![X2229, X2230]:(~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2230))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X2229,X2230)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_22_finite__imageI])])])). 0.56/0.82 fof(c_0_1513, plain, ![X213, X214]:(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X213),X214))|hBOOL(X214)|~hBOOL(X213)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fimplies_3_1_U])])). 0.56/0.82 fof(c_0_1514, plain, ![X139]:((~hBOOL(bot_bot_bool)|hBOOL(X139)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X139),bot_bot_bool)))&(~hBOOL(X139)|hBOOL(bot_bot_bool)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X139),bot_bot_bool)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_432_le__bot])])])). 0.56/0.82 fof(c_0_1515, plain, ![X2199, X2200]:(~is_a(X2200)|is_pname(hAPP_a_pname(X2199,X2200))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000t__a_000tc__Com__Opname])])])). 0.56/0.82 fof(c_0_1516, plain, ![X174, X175]:(~is_fun_pname_bool(X175)|is_pname(hAPP_f1297739591_pname(X174,X175))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1517, plain, ![X1831, X1832]:(~is_a(X1832)|is_a(hAPP_a_a(X1831,X1832))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000t__a_000t__a])])). 0.56/0.82 fof(c_0_1518, plain, ![X2132, X2133]:(~is_fun_a_bool(X2133)|is_fun_pname_bool(hAPP_f1794073134e_bool(X2132,X2133))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opname_Mtc__H])])). 0.56/0.82 fof(c_0_1519, plain, ![X208, X209]:((~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X208),X209))|hBOOL(hAPP_a_bool(X209,X208)))&(~hBOOL(hAPP_a_bool(X209,X208))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X208),X209)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_289_mem__def])])). 0.56/0.82 cnf(c_0_1520, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X3,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_972])). 0.56/0.82 fof(c_0_1521, plain, ![X2187, X2188]:(~is_fun_pname_bool(X2188)|is_fun_pname_bool(image_pname_pname(X2187,X2188))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname])])])). 0.56/0.82 fof(c_0_1522, plain, ![X1260, X1261]:(~is_fun_a_bool(X1261)|is_fun_pname_bool(image_a_pname(X1260,X1261))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000t__a_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1523, plain, ![X566, X567]:(~is_fun_pname_bool(X567)|is_fun_pname_bool(cOMBS_568398431l_bool(X566,X567))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool])])])). 0.56/0.82 fof(c_0_1524, plain, ![X1186, X1187]:(~is_fun_pname_bool(X1187)|is_fun_pname_bool(cOMBB_647938656_pname(X1186,X1187))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1525, plain, ![X1691, X1692]:(hBOOL(X1692)|hBOOL(X1691)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1691),X1692))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fdisj_3_1_U])])). 0.56/0.82 fof(c_0_1526, plain, ![X851, X852]:(~is_fun949378684l_bool(X852)|is_fun_pname_bool(image_1854862208_pname(X851,X852))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1527, plain, ![X1372, X1373]:(~is_fun_pname_bool(X1373)|is_fun_pname_bool(hAPP_f759274231e_bool(X1372,X1373))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Op])])])). 0.56/0.82 fof(c_0_1528, plain, ![X844, X845]:(~is_fun1661590463l_bool(X845)|is_fun_pname_bool(image_1283814551_pname(X844,X845))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__Opnam])])])). 0.56/0.82 fof(c_0_1529, plain, ![X2069, X2070]:(~is_pname(X2070)|is_fun_pname_bool(hAPP_p61793385e_bool(X2069,X2070))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])])])). 0.56/0.82 fof(c_0_1530, plain, ![X1463, X1464]:(~is_a(X1463)|X1463=hAPP_pname_a(cOMBK_a_pname(X1463),X1464)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_COMBK_1_1_COMBK_000t__a_000tc__Com__Opname_U])])])). 0.56/0.82 fof(c_0_1531, plain, ![X2001, X2002]:(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2001),X2002))|hBOOL(hAPP_fun_a_bool_bool(p(X2002),X2001))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_0_assms_I1_J])])])). 0.56/0.82 cnf(c_0_1532, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,insert_a(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_983])). 0.56/0.82 fof(c_0_1533, plain, ![X952, X953]:(~is_bool(X952)|X952=hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(X952),X953)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J_U])])). 0.56/0.82 fof(c_0_1534, plain, ![X95, X96]:(~is_a(X96)|is_fun_pname_bool(hAPP_a93125764e_bool(X95,X96))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])])])). 0.56/0.82 fof(c_0_1535, plain, ![X1319, X1320]:(~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1320))|(~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1319),X1320))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1319)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_112_rev__finite__subset])])])). 0.56/0.82 fof(c_0_1536, hypothesis, ![X437, X438]:(~is_fun_a_bool(X438)|is_fun949378684l_bool(hAPP_f1631501043l_bool(X437,X438))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__a_Mtc__HOL])])). 0.56/0.82 fof(c_0_1537, plain, ![X1535, X1536]:(hBOOL(X1535)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1535),X1536))), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fconj_2_1_U])])). 0.56/0.82 fof(c_0_1538, plain, ![X740, X741]:(~is_fun_a_bool(X741)|is_fun_a_bool(cOMBS_a_bool_bool(X740,X741))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool])])])). 0.56/0.82 fof(c_0_1539, plain, ![X1569, X1570]:(~is_fun_a_bool(X1570)|is_fun_a_bool(hAPP_f2050579477a_bool(X1569,X1570))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL__Obool_J])])). 0.56/0.82 fof(c_0_1540, plain, ![X1243, X1244]:(~is_a(X1244)|is_fun_a_bool(hAPP_a_fun_a_bool(X1243,X1244))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_hAPP_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J])])). 0.56/0.82 fof(c_0_1541, hypothesis, ![X2035, X2036]:(~is_fun_pname_bool(X2036)|is_fun_a_bool(image_pname_a(X2035,X2036))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_Oimage_000tc__Com__Opname_000t__a])])])). 0.56/0.82 fof(c_0_1542, plain, ![X2167, X2168]:(~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2167),X2168))|hBOOL(X2168)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fconj_3_1_U])])). 0.56/0.82 fof(c_0_1543, plain, ![X402, X403]:((bot_bot_fun_a_bool!=image_pname_a(X402,X403)|bot_bo844097828e_bool=X403|~is_fun_pname_bool(X403))&(bot_bo844097828e_bool!=X403|bot_bot_fun_a_bool=image_pname_a(X402,X403)|~is_fun_pname_bool(X403))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_467_image__is__empty])])])). 0.56/0.82 fof(c_0_1544, hypothesis, ![X484, X485]:(~is_pname(X485)|is_a(hAPP_pname_a(X484,X485))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_hAPP_000tc__Com__Opname_000t__a])])])). 0.56/0.82 fof(c_0_1545, plain, ![X803]:(hBOOL(X803)|hBOOL(hAPP_bool_bool(fNot,X803))), inference(variable_rename,[status(thm)],[help_fNot_2_1_U])). 0.56/0.82 fof(c_0_1546, plain, ![X2041]:((~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2041),bot_bot_fun_a_bool))|X2041=bot_bot_fun_a_bool|~is_fun_a_bool(X2041))&(X2041!=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2041),bot_bot_fun_a_bool))|~is_fun_a_bool(X2041))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_439_bot__unique])])])). 0.56/0.82 fof(c_0_1547, plain, ![X244]:((~hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X244))|hBOOL(bot_bot_bool))&(~hBOOL(bot_bot_bool)|hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X244)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_430_bot__apply])])). 0.56/0.82 fof(c_0_1548, plain, ![X192]:((~hBOOL(bot_bot_bool)|hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X192)))&(~hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X192))|hBOOL(bot_bot_bool))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_425_bot__fun__def])])). 0.56/0.82 fof(c_0_1549, plain, ![X1839]:(~is_fun_a_bool(X1839)|is_fun949378684l_bool(p(X1839))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_v_P])])). 0.56/0.82 fof(c_0_1550, plain, ![X1950]:(~is_bool(X1950)|is_fun949378684l_bool(cOMBK_324466864a_bool(X1950))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_It__a_Mtc__HOL__Obool_J])])). 0.56/0.82 fof(c_0_1551, plain, ![X927]:((~hBOOL(bot_bot_bool)|hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X927)))&(~hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X927))|hBOOL(bot_bot_bool))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_426_bot__fun__def])])). 0.56/0.82 fof(c_0_1552, plain, ![X1399]:(~is_fun949378684l_bool(X1399)|is_fun949378684l_bool(collect_fun_a_bool(X1399))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_It__a_Mtc__HOL__Obool_J])])])). 0.56/0.82 fof(c_0_1553, plain, ![X450]:(~is_bool(X450)|is_fun_a_bool(cOMBK_bool_a(X450))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBK_000tc__HOL__Obool_000t__a])])). 0.56/0.82 fof(c_0_1554, plain, ![X1995]:(~is_bool(X1995)|is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1995))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[gsy_c_COMBK_000tc__HOL__Obool_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])])])). 0.56/0.82 fof(c_0_1555, plain, ![X2208]:(~is_fun1661590463l_bool(X2208)|is_fun1661590463l_bool(collec1974731493e_bool(X2208))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])])). 0.56/0.82 fof(c_0_1556, plain, ![X427]:(~is_bool(X427)|is_fun_pname_bool(cOMBK_bool_pname(X427))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_COMBK_000tc__HOL__Obool_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1557, plain, ![X2087]:(~is_fun_pname_bool(X2087)|is_fun_pname_bool(collect_pname(X2087))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000tc__Com__Opname])])). 0.56/0.82 fof(c_0_1558, plain, ![X831]:(~is_fun_pname_bool(X831)|X831=collect_pname(X831)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_291_Collect__def])])])). 0.56/0.82 fof(c_0_1559, plain, ![X1747]:(~is_fun_a_bool(X1747)|is_fun_a_bool(collect_a(X1747))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[gsy_c_Set_OCollect_000t__a])])). 0.56/0.82 fof(c_0_1560, plain, ![X221]:(~is_bool(X221)|(X221=fTrue|X221=fFalse)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fFalse_1_1_T])])])). 0.56/0.82 fof(c_0_1561, plain, ![X551]:(~is_fun949378684l_bool(X551)|collect_fun_a_bool(X551)=X551), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_294_Collect__def])])])). 0.56/0.82 fof(c_0_1562, plain, ![X2066]:(~is_fun1661590463l_bool(X2066)|X2066=collec1974731493e_bool(X2066)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_293_Collect__def])])])). 0.56/0.82 fof(c_0_1563, plain, ![X1712]:(~is_fun_a_bool(X1712)|X1712=collect_a(X1712)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_290_Collect__def])])). 0.56/0.82 fof(c_0_1564, plain, ![X1167]:(~hBOOL(hAPP_bool_bool(fNot,X1167))|~hBOOL(X1167)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_fNot_1_1_U])])). 0.56/0.82 cnf(c_0_1565, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))!=bot_bot_fun_nat_bool), inference(rw,[status(thm)],[c_0_985, c_0_745])). 0.56/0.82 cnf(c_0_1566, plain, (bot_bo1701429464l_bool!=X1|~hBOOL(hAPP_f54304608l_bool(X1,X2))), inference(rw,[status(thm)],[c_0_986, c_0_733])). 0.56/0.82 cnf(c_0_1567, plain, (X1!=bot_bot_fun_nat_bool|~hBOOL(hAPP_nat_bool(X1,X2))), inference(rw,[status(thm)],[c_0_987, c_0_737])). 0.56/0.82 cnf(c_0_1568, plain, (bot_bo844097828e_bool!=insert_pname(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_988])). 0.56/0.82 fof(c_0_1569, plain, ![X1765, X1766]:~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1765),X1766)),X1765)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_625_not__add__less1])])). 0.56/0.82 fof(c_0_1570, plain, ![X2051, X2052]:~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X2051),X2052)),X2052)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_624_not__add__less2])])). 0.56/0.82 fof(c_0_1571, plain, ![X558]:~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X558),X558)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_648_less__irrefl__nat])])). 0.56/0.82 fof(c_0_1572, plain, ![X555]:~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X555),bot_bot_fun_nat_bool)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_404_empty__iff])])). 0.56/0.82 fof(c_0_1573, plain, ![X1208]:~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1208),bot_bo844097828e_bool)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_405_empty__iff])])). 0.56/0.82 fof(c_0_1574, plain, ![X853]:~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X853),zero_zero_nat)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_678_less__zeroE])])). 0.56/0.82 cnf(c_0_1575, plain, (bot_bot_fun_a_bool!=insert_a(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_989])). 0.56/0.82 fof(c_0_1576, plain, ![X160]:X160!=hAPP_nat_nat(suc,X160), inference(variable_rename,[status(thm)],[fact_83_Suc__n__not__n])). 0.56/0.82 fof(c_0_1577, plain, ![X574]:~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X574),bot_bot_fun_a_bool)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_406_empty__iff])])). 0.56/0.82 fof(c_0_1578, plain, ![X431]:hAPP_nat_nat(suc,X431)!=zero_zero_nat, inference(variable_rename,[status(thm)],[fact_696_Zero__not__Suc])). 0.56/0.82 cnf(c_0_1579, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u)))), inference(split_conjunct,[status(thm)],[c_0_990])). 0.56/0.82 fof(c_0_1580, hypothesis, ~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)), inference(fof_simplification,[status(thm)],[conj_5])). 0.56/0.82 fof(c_0_1581, plain, ~hBOOL(fFalse), inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U])). 0.56/0.82 cnf(c_0_1582, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X4)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))))|X3!=X4|X1!=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_991, c_0_745]), c_0_745]), c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_1583, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_992, c_0_837]), c_0_837]), c_0_837]), c_0_837])). 0.56/0.82 cnf(c_0_1584, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_993, c_0_745]), c_0_745]), c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_1585, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_994, c_0_847]), c_0_847]), c_0_847]), c_0_847])). 0.56/0.82 fof(c_0_1586, plain, ![X1212, X1213, X1214]:hAPP_nat_nat(plus_plus_nat(X1213),hAPP_nat_nat(plus_plus_nat(X1212),X1214))=hAPP_nat_nat(plus_plus_nat(X1212),hAPP_nat_nat(plus_plus_nat(X1213),X1214)), inference(variable_rename,[status(thm)],[fact_577_nat__add__left__commute])). 0.56/0.82 fof(c_0_1587, plain, ![X896, X897]:hAPP_nat_nat(plus_plus_nat(X897),X896)=hAPP_nat_nat(plus_plus_nat(X896),X897), inference(variable_rename,[status(thm)],[fact_578_nat__add__commute])). 0.56/0.82 cnf(c_0_1588, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)),X2))|X1!=X2), inference(rw,[status(thm)],[c_0_995, c_0_745])). 0.56/0.82 cnf(c_0_1589, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X2),X1))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_996])). 0.56/0.82 cnf(c_0_1590, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_997])). 0.56/0.82 cnf(c_0_1591, plain, (hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_998])). 0.56/0.82 cnf(c_0_1592, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_999])). 0.56/0.82 cnf(c_0_1593, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1),X2))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_1000])). 0.56/0.82 cnf(c_0_1594, plain, (hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X2))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_1001])). 0.56/0.82 cnf(c_0_1595, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1002, c_0_837]), c_0_837]), c_0_837])). 0.56/0.82 cnf(c_0_1596, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1003, c_0_745]), c_0_745]), c_0_745])). 0.56/0.82 cnf(c_0_1597, plain, (image_a_pname(X1,insert_a(X2,X3))=insert_pname(hAPP_a_pname(X1,X2),image_a_pname(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_1004])). 0.56/0.82 cnf(c_0_1598, plain, (image_a_nat(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),hAPP_a_nat(X1,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_a_nat(X1,X3)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1005, c_0_745]), c_0_847])). 0.56/0.82 cnf(c_0_1599, plain, (insert1325755072e_bool(X1,collec1974731493e_bool(X2))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2))), inference(split_conjunct,[status(thm)],[c_0_1006])). 0.56/0.82 cnf(c_0_1600, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))),X2))=insert_fun_a_bool(X1,collect_fun_a_bool(X2))), inference(split_conjunct,[status(thm)],[c_0_1007])). 0.56/0.82 cnf(c_0_1601, plain, (image_nat_a(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_nat_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_nat_a(X1,X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1008, c_0_745]), c_0_847])). 0.56/0.82 cnf(c_0_1602, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),insert_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1009])). 0.56/0.82 cnf(c_0_1603, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),insert_pname(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1010])). 0.56/0.82 cnf(c_0_1604, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1))),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1011, c_0_737]), c_0_737]), c_0_745])). 0.56/0.82 cnf(c_0_1605, plain, (insert_a(hAPP_pname_a(X1,X2),image_pname_a(X1,X3))=image_pname_a(X1,insert_pname(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1012])). 0.56/0.82 cnf(c_0_1606, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))), inference(rw,[status(thm)],[c_0_1013, c_0_745])). 0.56/0.82 cnf(c_0_1607, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))))), inference(rw,[status(thm)],[c_0_1014, c_0_745])). 0.56/0.82 cnf(c_0_1608, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))=collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))), inference(rw,[status(thm)],[c_0_1015, c_0_837])). 0.56/0.82 cnf(c_0_1609, plain, (collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))), inference(rw,[status(thm)],[c_0_1016, c_0_867])). 0.56/0.82 cnf(c_0_1610, plain, (collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),bot_bo1389914601l_bool)))), inference(rw,[status(thm)],[c_0_1017, c_0_882])). 0.56/0.82 fof(c_0_1611, plain, ![X983, X984, X985]:hAPP_nat_nat(minus_minus_nat(X983),X985)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X983),X984)),hAPP_nat_nat(plus_plus_nat(X985),X984)), inference(variable_rename,[status(thm)],[fact_583_diff__cancel2])). 0.56/0.82 fof(c_0_1612, plain, ![X1226, X1227, X1228]:hAPP_nat_nat(minus_minus_nat(X1227),X1228)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1226),X1227)),hAPP_nat_nat(plus_plus_nat(X1226),X1228)), inference(variable_rename,[status(thm)],[fact_582_diff__cancel])). 0.56/0.82 fof(c_0_1613, plain, ![X796, X797, X798]:hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X796),X797)),X798)=hAPP_nat_nat(plus_plus_nat(X796),hAPP_nat_nat(plus_plus_nat(X797),X798)), inference(variable_rename,[status(thm)],[fact_576_nat__add__assoc])). 0.56/0.82 cnf(c_0_1614, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X2)))))), inference(split_conjunct,[status(thm)],[c_0_1018])). 0.56/0.82 fof(c_0_1615, plain, ![X2246, X2247]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X2246),X2247)),hAPP_nat_nat(suc,X2246))), inference(variable_rename,[status(thm)],[fact_665_diff__less__Suc])). 0.56/0.82 fof(c_0_1616, plain, ![X106, X107]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X106),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X106),X107)))), inference(variable_rename,[status(thm)],[fact_655_less__add__Suc1])). 0.56/0.82 fof(c_0_1617, plain, ![X2194, X2195]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2194),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X2195),X2194)))), inference(variable_rename,[status(thm)],[fact_656_less__add__Suc2])). 0.56/0.82 fof(c_0_1618, plain, ![X981, X982]:hAPP_nat_nat(minus_minus_nat(X981),X982)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X981)),hAPP_nat_nat(suc,X982)), inference(variable_rename,[status(thm)],[fact_123_diff__Suc__Suc])). 0.56/0.82 fof(c_0_1619, plain, ![X1161, X1162, X1163]:hAPP_bool_bool(hAPP_p393069232l_bool(X1161,X1163),hAPP_pname_bool(X1162,X1163))=hAPP_pname_bool(cOMBS_568398431l_bool(X1161,X1162),X1163), inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Com__Opname_000tc__HOL__Obool_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1620, plain, ![X1981, X1982, X1983]:hAPP_bool_bool(hAPP_f1476298914l_bool(X1981,X1983),hAPP_f1664156314l_bool(X1982,X1983))=hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1981,X1982),X1983), inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__HOL__O])). 0.56/0.82 fof(c_0_1621, plain, ![X1785, X1786, X1787]:hAPP_f54304608l_bool(cOMBS_1187019125l_bool(X1785,X1786),X1787)=hAPP_bool_bool(hAPP_f1748468828l_bool(X1785,X1787),hAPP_f54304608l_bool(X1786,X1787)), inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obo])). 0.56/0.82 cnf(c_0_1622, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(suc,X2))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,X1)),X2)), inference(split_conjunct,[status(thm)],[c_0_1019])). 0.56/0.82 cnf(c_0_1623, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(suc,X2))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1020]), ['final']). 0.56/0.82 fof(c_0_1624, plain, ![X1016, X1017, X1018]:hAPP_nat_bool(cOMBS_nat_bool_bool(X1016,X1017),X1018)=hAPP_bool_bool(hAPP_n1006566506l_bool(X1016,X1018),hAPP_nat_bool(X1017,X1018)), inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__Nat__Onat_000tc__HOL__Obool_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1625, plain, ![X651, X652, X653]:hAPP_bool_bool(hAPP_a_fun_bool_bool(X651,X653),hAPP_a_bool(X652,X653))=hAPP_a_bool(cOMBS_a_bool_bool(X651,X652),X653), inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000t__a_000tc__HOL__Obool_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1626, plain, ![X978, X979, X980]:hAPP_bool_bool(hAPP_f198738859l_bool(X978,X980),hAPP_fun_a_bool_bool(X979,X980))=hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(X978,X979),X980), inference(variable_rename,[status(thm)],[help_COMBS_1_1_COMBS_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Obool_000tc_])). 0.56/0.82 fof(c_0_1627, plain, ![X263, X264, X265]:hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(X263),X264),X265)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(X263,X265),X264), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__H])). 0.56/0.82 fof(c_0_1628, plain, ![X839, X840, X841]:hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X839),X840),X841)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X839,X841),X840), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_])). 0.56/0.82 fof(c_0_1629, plain, ![X656, X657, X658]:hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(X656),X657),X658)=hAPP_nat_bool(hAPP_a_fun_nat_bool(X656,X658),X657), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000t__a_000tc__Nat__Onat_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1630, plain, ![X568, X569, X570]:hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(X568),X569),X570)=hAPP_f1664156314l_bool(hAPP_a217006258l_bool(X568,X570),X569), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc])). 0.56/0.82 fof(c_0_1631, plain, ![X210, X211, X212]:hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(X210),X211),X212)=hAPP_f54304608l_bool(hAPP_a1392362872l_bool(X210,X212),X211), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000t__a_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__])). 0.56/0.82 fof(c_0_1632, plain, ![X115, X116, X117]:hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(X115),X116),X117)=hAPP_pname_bool(hAPP_a93125764e_bool(X115,X117),X116), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000t__a_000tc__Com__Opname_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1633, plain, ![X1257, X1258, X1259]:hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(X1257),X1258),X1259)=hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(X1257,X1259),X1258), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__021])). 0.56/0.82 fof(c_0_1634, plain, ![X1935, X1936, X1937]:hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(X1935),X1936),X1937)=hAPP_nat_bool(hAPP_f800510211t_bool(X1935,X1937),X1936), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Nat__Ona])). 0.56/0.82 fof(c_0_1635, plain, ![X1143, X1144, X1145]:hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(X1143),X1144),X1145)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(X1143,X1145),X1144), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_])). 0.56/0.82 cnf(c_0_1636, hypothesis, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,na)),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))))), inference(split_conjunct,[status(thm)],[conj_2])). 0.56/0.82 fof(c_0_1637, plain, ![X428, X429, X430]:hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X428),X429),X430)=hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X428,X430),X429), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_024])). 0.56/0.82 fof(c_0_1638, plain, ![X2153, X2154, X2155]:hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(X2153),X2154),X2155)=hAPP_nat_bool(hAPP_f1066163005t_bool(X2153,X2155),X2154), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Nat__O])). 0.56/0.82 fof(c_0_1639, plain, ![X2201, X2202, X2203]:hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(X2201),X2202),X2203)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(X2201,X2203),X2202), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Oboo])). 0.56/0.82 fof(c_0_1640, plain, ![X468, X469, X470]:hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X468),X469),X470)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X468,X470),X469), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob])). 0.56/0.82 fof(c_0_1641, plain, ![X1791, X1792, X1793]:hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(X1791),X1792),X1793)=hAPP_a_bool(hAPP_p1534023578a_bool(X1791,X1793),X1792), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000t__a_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1642, plain, ![X340, X341, X342]:hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(X340),X341),X342)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(X340,X342),X341), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Oboo])). 0.56/0.82 fof(c_0_1643, plain, ![X747, X748, X749]:hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(X747),X748),X749)=hAPP_a_bool(hAPP_nat_fun_a_bool(X747,X749),X748), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000t__a_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1644, plain, ![X2093, X2094, X2095]:hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(X2093),X2094),X2095)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(X2093,X2095),X2094), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_])). 0.56/0.82 fof(c_0_1645, plain, ![X1771, X1772, X1773]:hAPP_f621171935l_bool(hAPP_f1434722111l_bool(X1771,X1773),X1772)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(X1771),X1772),X1773), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool])). 0.56/0.82 fof(c_0_1646, plain, ![X1605, X1606, X1607]:hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1605,X1607),X1606)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1605),X1606),X1607), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It])). 0.56/0.82 fof(c_0_1647, plain, ![X1928, X1929, X1930]:hAPP_pname_bool(hAPP_n1025906991e_bool(X1928,X1930),X1929)=hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(X1928),X1929),X1930), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Com__Opname_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1648, plain, ![X316, X317, X318]:hAPP_pname_bool(hAPP_f654413245e_bool(X316,X318),X317)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(X316),X317),X318), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opn])). 0.56/0.82 fof(c_0_1649, plain, ![X1234, X1235, X1236]:hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(X1234),X1235),X1236)=hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(X1234,X1236),X1235), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc])). 0.56/0.82 fof(c_0_1650, plain, ![X1901, X1902, X1903]:hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(X1901,X1903),X1902)=hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(X1901),X1902),X1903), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__])). 0.56/0.82 fof(c_0_1651, plain, ![X1996, X1997, X1998]:hAPP_pname_bool(hAPP_f759274231e_bool(X1996,X1998),X1997)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(X1996),X1997),X1998), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__Com__O])). 0.56/0.82 fof(c_0_1652, plain, ![X124, X125]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X124),X125)),X124)), inference(variable_rename,[status(thm)],[fact_130_diff__le__self])). 0.56/0.82 fof(c_0_1653, plain, ![X1424, X1425]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1424),hAPP_nat_nat(plus_plus_nat(X1424),X1425))), inference(variable_rename,[status(thm)],[fact_585_le__add1])). 0.56/0.82 fof(c_0_1654, plain, ![X1378, X1379, X1380]:hAPP_pname_bool(hAPP_p61793385e_bool(X1378,X1380),X1379)=hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1378),X1379),X1380), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Com__Opname_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1655, plain, ![X2209, X2210]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2209),hAPP_nat_nat(plus_plus_nat(X2210),X2209))), inference(variable_rename,[status(thm)],[fact_584_le__add2])). 0.56/0.82 fof(c_0_1656, plain, ![X890, X891, X892]:hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(X890),X891),X892)=hAPP_pname_bool(hAPP_f1794073134e_bool(X890,X892),X891), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opname_000tc])). 0.56/0.82 fof(c_0_1657, plain, ![X1342, X1343, X1344]:hAPP_nat_bool(hAPP_p1499970991t_bool(X1342,X1344),X1343)=hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(X1342),X1343),X1344), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Com__Opname_000tc__Nat__Onat_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1658, plain, ![X1645, X1646, X1647]:hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(X1645),X1646),X1647)=hAPP_f621171935l_bool(hAPP_f285962445l_bool(X1645,X1647),X1646), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__])). 0.56/0.82 fof(c_0_1659, plain, ![X245, X246, X247]:hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(X245),X246),X247)=hAPP_nat_bool(hAPP_f282463732t_bool(X245,X247),X246), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat_000tc__])). 0.56/0.82 fof(c_0_1660, plain, ![X1435, X1436, X1437]:hAPP_nat_bool(hAPP_n1699378549t_bool(X1435,X1437),X1436)=hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(X1435),X1436),X1437), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__Nat__Onat_000tc__Nat__Onat_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1661, plain, ![X1922, X1923, X1924]:hAPP_f1748468828l_bool(cOMBB_444170502t_bool(X1922,X1923),X1924)=hAPP_b589554111l_bool(X1922,hAPP_f54304608l_bool(X1923,X1924)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_013])). 0.56/0.82 fof(c_0_1662, plain, ![X2006, X2007, X2008]:hAPP_p393069232l_bool(cOMBB_675860798_pname(X2006,X2007),X2008)=hAPP_b589554111l_bool(X2006,hAPP_pname_bool(X2007,X2008)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_007])). 0.56/0.82 fof(c_0_1663, plain, ![X1109, X1110, X1111]:hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1109,X1110),X1111)=hAPP_b589554111l_bool(X1109,hAPP_f1664156314l_bool(X1110,X1111)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_016])). 0.56/0.82 fof(c_0_1664, plain, ![X784, X785, X786]:hAPP_p1499970991t_bool(cOMBB_523834888_pname(X784,X785),X786)=hAPP_n1699378549t_bool(X784,hAPP_pname_nat(X785,X786)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__005])). 0.56/0.82 fof(c_0_1665, plain, ![X307, X308, X309]:hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(X307,X308),X309)=hAPP_n1699378549t_bool(X307,hAPP_f921600141ol_nat(X308,X309)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__014])). 0.56/0.82 fof(c_0_1666, plain, ![X252, X253, X254]:hAPP_f759274231e_bool(cOMBB_598082538e_bool(X252,X253),X254)=hAPP_p61793385e_bool(X252,hAPP_f1297739591_pname(X253,X254)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_017])). 0.56/0.82 fof(c_0_1667, plain, ![X860, X861, X862]:hAPP_f282463732t_bool(cOMBB_164527437a_bool(X860,X861),X862)=hAPP_n1699378549t_bool(X860,hAPP_fun_a_bool_nat(X861,X862)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__009])). 0.56/0.82 fof(c_0_1668, plain, ![X1748, X1749, X1750]:hAPP_a1392362872l_bool(cOMBB_743407885bool_a(X1748,X1749),X1750)=hAPP_f103356543l_bool(X1748,hAPP_a_fun_nat_bool(X1749,X1750)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc_])). 0.56/0.82 fof(c_0_1669, plain, ![X1311, X1312, X1313]:hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(X1311,X1312),X1313)=hAPP_n1699378549t_bool(X1311,hAPP_a_nat(X1312,X1313)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_])). 0.56/0.82 fof(c_0_1670, plain, ![X1941, X1942, X1943]:hAPP_f800510211t_bool(cOMBB_1250273980t_bool(X1941,X1942),X1943)=hAPP_n1699378549t_bool(X1941,hAPP_f22106695ol_nat(X1942,X1943)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__012])). 0.56/0.82 fof(c_0_1671, plain, ![X1737, X1738, X1739]:hAPP_a_bool(cOMBB_bool_bool_a(X1737,X1738),X1739)=hAPP_bool_bool(X1737,hAPP_a_bool(X1738,X1739)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000t__a_U])). 0.56/0.82 fof(c_0_1672, plain, ![X1890, X1891, X1892]:hAPP_pname_bool(cOMBB_647938656_pname(X1890,X1891),X1892)=hAPP_bool_bool(X1890,hAPP_pname_bool(X1891,X1892)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Opname_U])). 0.56/0.82 fof(c_0_1673, plain, ![X880, X881, X882]:hAPP_a93125764e_bool(cOMBB_610033911bool_a(X880,X881),X882)=hAPP_p61793385e_bool(X880,hAPP_a_pname(X881,X882)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob])). 0.56/0.82 fof(c_0_1674, plain, ![X2134, X2135, X2136]:hAPP_p61793385e_bool(X2134,hAPP_f1128469712_pname(X2135,X2136))=hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(X2134,X2135),X2136), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_011])). 0.56/0.82 fof(c_0_1675, plain, ![X1338, X1339, X1340]:hAPP_p61793385e_bool(X1338,hAPP_pname_pname(X1339,X1340))=hAPP_p61793385e_bool(cOMBB_542850580_pname(X1338,X1339),X1340), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_008])). 0.56/0.82 fof(c_0_1676, plain, ![X935, X936, X937]:hAPP_p61793385e_bool(X935,hAPP_nat_pname(X936,X937))=hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(X935,X936),X937), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_006])). 0.56/0.82 fof(c_0_1677, plain, ![X331, X332, X333]:hAPP_p61793385e_bool(X331,hAPP_f1291551745_pname(X332,X333))=hAPP_f654413245e_bool(cOMBB_141086128t_bool(X331,X332),X333), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Com__Opname_000tc__fun_Itc__Com__Opname_Mtc__HOL__Ob_015])). 0.56/0.82 fof(c_0_1678, plain, ![X689, X690, X691]:hAPP_f103356543l_bool(X689,hAPP_p1499970991t_bool(X690,X691))=hAPP_p130839763l_bool(cOMBB_928955006_pname(X689,X690),X691), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__022])). 0.56/0.82 fof(c_0_1679, plain, ![X224, X225, X226]:hAPP_f103356543l_bool(X224,hAPP_n1699378549t_bool(X225,X226))=hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(X224,X225),X226), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__020])). 0.56/0.82 fof(c_0_1680, plain, ![X1025, X1026, X1027]:hAPP_bool_bool(X1025,hAPP_f54304608l_bool(X1026,X1027))=hAPP_f54304608l_bool(cOMBB_238756964t_bool(X1025,X1026),X1027), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Nat__On])). 0.56/0.82 fof(c_0_1681, plain, ![X1548, X1549, X1550]:hAPP_bool_bool(X1548,hAPP_f1664156314l_bool(X1549,X1550))=hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1548,X1549),X1550), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__Com__Op])). 0.56/0.82 fof(c_0_1682, plain, ![X1332, X1333, X1334]:hAPP_bool_bool(X1332,hAPP_nat_bool(X1333,X1334))=hAPP_nat_bool(cOMBB_bool_bool_nat(X1332,X1333),X1334), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Nat__Onat_U])). 0.56/0.82 fof(c_0_1683, plain, ![X1453, X1454, X1455]:hAPP_b589554111l_bool(X1453,hAPP_nat_bool(X1454,X1455))=hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(X1453,X1454),X1455), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_004])). 0.56/0.82 fof(c_0_1684, plain, ![X1369, X1370, X1371]:hAPP_f434788991l_bool(X1369,hAPP_n1025906991e_bool(X1370,X1371))=hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(X1369,X1370),X1371), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_023])). 0.56/0.82 fof(c_0_1685, plain, ![X1352, X1353, X1354]:hAPP_f434788991l_bool(X1352,hAPP_p61793385e_bool(X1353,X1354))=hAPP_p338031245l_bool(cOMBB_408569982_pname(X1352,X1353),X1354), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It_025])). 0.56/0.82 cnf(c_0_1686, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1021, c_0_847]), c_0_847]), c_0_847])). 0.56/0.82 fof(c_0_1687, plain, ![X147, X148, X149]:hAPP_f434788991l_bool(X147,hAPP_a93125764e_bool(X148,X149))=hAPP_a217006258l_bool(cOMBB_1137537805bool_a(X147,X148),X149), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_000tc__fun_It])). 0.56/0.82 fof(c_0_1688, plain, ![X1032, X1033, X1034]:hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X1032),X1033),X1034)=hAPP_a_bool(hAPP_a_fun_a_bool(X1032,X1034),X1033), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000t__a_000t__a_000tc__HOL__Obool_U])). 0.56/0.82 fof(c_0_1689, plain, ![X1412, X1413, X1414]:hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X1412,X1414),X1413)=hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X1412),X1413),X1414), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__HOL__Oboo])). 0.56/0.82 fof(c_0_1690, plain, ![X260, X261, X262]:hAPP_n1699378549t_bool(X260,hAPP_nat_nat(X261,X262))=hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(X260,X261),X262), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__Nat__Onat_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool__003])). 0.56/0.82 fof(c_0_1691, plain, ![X1269, X1270, X1271]:hAPP_f198738859l_bool(cOMBB_338059395a_bool(X1269,X1270),X1271)=hAPP_b589554111l_bool(X1269,hAPP_fun_a_bool_bool(X1270,X1271)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo_010])). 0.56/0.82 fof(c_0_1692, plain, ![X683, X684, X685]:hAPP_p1824510254l_bool(cOMBB_392435466_pname(X683,X684),X685)=hAPP_f1631501043l_bool(X683,hAPP_p1534023578a_bool(X684,X685)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___019])). 0.56/0.82 fof(c_0_1693, plain, ![X1347, X1348, X1349]:hAPP_a_fun_a_bool(X1347,hAPP_nat_a(X1348,X1349))=hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(X1347,X1348),X1349), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Nat__Onat])). 0.56/0.82 fof(c_0_1694, plain, ![X2046, X2047, X2048]:hAPP_f1631501043l_bool(X2046,hAPP_nat_fun_a_bool(X2047,X2048))=hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(X2046,X2047),X2048), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It___018])). 0.56/0.82 fof(c_0_1695, plain, ![X1443]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1443),hAPP_nat_nat(suc,X1443))), inference(variable_rename,[status(thm)],[fact_612_lessI])). 0.56/0.82 fof(c_0_1696, plain, ![X1065]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1065))), inference(variable_rename,[status(thm)],[fact_680_zero__less__Suc])). 0.56/0.82 fof(c_0_1697, plain, ![X1871, X1872, X1873]:hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(X1871,X1872),X1873)=hAPP_b589554111l_bool(X1871,hAPP_a_bool(X1872,X1873)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo])). 0.56/0.82 fof(c_0_1698, plain, ![X2049, X2050]:hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2049),X2050)),X2050)=X2049, inference(variable_rename,[status(thm)],[fact_579_diff__add__inverse2])). 0.56/0.82 fof(c_0_1699, plain, ![X681, X682]:X682=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X681),X682)),X681), inference(variable_rename,[status(thm)],[fact_580_diff__add__inverse])). 0.56/0.82 fof(c_0_1700, plain, ![X1484, X1485, X1486]:hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(X1484),X1485),X1486)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(X1484,X1486),X1485), inference(variable_rename,[status(thm)],[help_COMBC_1_1_COMBC_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HO])). 0.56/0.82 fof(c_0_1701, plain, ![X646, X647, X648]:hAPP_p1534023578a_bool(cOMBB_1897541054_pname(X646,X647),X648)=hAPP_a_fun_a_bool(X646,hAPP_pname_a(X647,X648)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__Com__Opna])). 0.56/0.82 fof(c_0_1702, plain, ![X1011, X1012, X1013]:hAPP_f1631501043l_bool(X1011,hAPP_a_fun_a_bool(X1012,X1013))=hAPP_a85458249l_bool(cOMBB_472261505bool_a(X1011,X1012),X1013), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__fun_It__a_Mtc__HOL__Obool_J_000tc__fun_Itc__fun_It__])). 0.56/0.82 fof(c_0_1703, plain, ![X828, X829, X830]:hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(X828,X829),X830)=hAPP_bool_bool(X828,hAPP_fun_a_bool_bool(X829,X830)), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_It__a_Mtc__H])). 0.56/0.82 fof(c_0_1704, plain, ![X887, X888, X889]:hAPP_a_fun_a_bool(X887,hAPP_a_a(X888,X889))=hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(X887,X888),X889), inference(variable_rename,[status(thm)],[help_COMBB_1_1_COMBB_000t__a_000tc__fun_It__a_Mtc__HOL__Obool_J_000t__a_U])). 0.56/0.82 fof(c_0_1705, plain, ![X1885, X1886]:hAPP_nat_nat(minus_minus_nat(X1885),hAPP_nat_nat(plus_plus_nat(X1885),X1886))=zero_zero_nat, inference(variable_rename,[status(thm)],[fact_683_diff__add__0])). 0.56/0.82 cnf(c_0_1706, plain, (hAPP_nat_nat(suc,X1)=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1)))), inference(split_conjunct,[status(thm)],[c_0_1022])). 0.56/0.82 cnf(c_0_1707, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1))))), inference(split_conjunct,[status(thm)],[c_0_1023])). 0.56/0.82 cnf(c_0_1708, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1))))), inference(split_conjunct,[status(thm)],[c_0_1024])). 0.56/0.82 fof(c_0_1709, plain, ![X2256]:hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X2256)),one_one_nat)=X2256, inference(variable_rename,[status(thm)],[fact_569_diff__Suc__1])). 0.56/0.82 cnf(c_0_1710, plain, (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1)))=X1), inference(split_conjunct,[status(thm)],[c_0_1025])). 0.56/0.82 cnf(c_0_1711, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),insert_a(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1026])). 0.56/0.82 fof(c_0_1712, plain, ![X1389]:hAPP_nat_nat(plus_plus_nat(X1389),one_one_nat)=hAPP_nat_nat(suc,X1389), inference(variable_rename,[status(thm)],[fact_606_Suc__eq__plus1])). 0.56/0.82 fof(c_0_1713, plain, ![X746]:hAPP_nat_nat(plus_plus_nat(one_one_nat),X746)=hAPP_nat_nat(suc,X746), inference(variable_rename,[status(thm)],[fact_607_Suc__eq__plus1__left])). 0.56/0.82 fof(c_0_1714, plain, ![X406]:hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X406),X406)), inference(variable_rename,[status(thm)],[fact_369_order__refl])). 0.56/0.82 fof(c_0_1715, plain, ![X1421]:hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1421),X1421)), inference(variable_rename,[status(thm)],[fact_367_order__refl])). 0.56/0.82 fof(c_0_1716, plain, ![X650]:hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X650),X650)), inference(variable_rename,[status(thm)],[fact_266_subset__refl])). 0.56/0.82 fof(c_0_1717, plain, ![X379]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X379),X379)), inference(variable_rename,[status(thm)],[fact_89_le__refl])). 0.56/0.82 fof(c_0_1718, plain, ![X1477]:hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),X1477)), inference(variable_rename,[status(thm)],[fact_443_bot__least])). 0.56/0.82 fof(c_0_1719, plain, ![X1588]:hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),X1588)), inference(variable_rename,[status(thm)],[fact_442_bot__least])). 0.56/0.82 fof(c_0_1720, plain, ![X573]:hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X573)), inference(variable_rename,[status(thm)],[fact_392_empty__subsetI])). 0.56/0.82 cnf(c_0_1721, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),insert_a(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1027])). 0.56/0.82 fof(c_0_1722, plain, ![X774]:hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X774)), inference(variable_rename,[status(thm)],[fact_699_less__eq__nat_Osimps_I1_J])). 0.56/0.82 fof(c_0_1723, plain, ![X529]:zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X529),X529), inference(variable_rename,[status(thm)],[fact_688_diff__self__eq__0])). 0.56/0.82 fof(c_0_1724, plain, ![X2176]:hAPP_nat_nat(minus_minus_nat(X2176),zero_zero_nat)=X2176, inference(variable_rename,[status(thm)],[fact_689_minus__nat_Odiff__0])). 0.56/0.82 fof(c_0_1725, plain, ![X972]:hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X972)=zero_zero_nat, inference(variable_rename,[status(thm)],[fact_690_diff__0__eq__0])). 0.56/0.82 fof(c_0_1726, plain, ![X1696, X1697]:is_fun949378684l_bool(image_nat_fun_a_bool(X1696,X1697)), inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J])). 0.56/0.82 fof(c_0_1727, plain, ![X1710, X1711]:is_fun949378684l_bool(hAPP_n1414589940l_bool(X1710,X1711)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL])). 0.56/0.82 fof(c_0_1728, plain, ![X1575, X1576]:is_bool(hAPP_f292226953l_bool(X1575,X1576)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool_])). 0.56/0.82 fof(c_0_1729, plain, ![X1363, X1364]:is_bool(hAPP_f937997336l_bool(X1363,X1364)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HO])). 0.56/0.82 fof(c_0_1730, plain, ![X1170, X1171]:is_bool(hAPP_f389811538l_bool(X1170,X1171)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc__])). 0.56/0.82 fof(c_0_1731, plain, ![X621, X622]:is_bool(hAPP_f1637334154l_bool(X621,X622)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_Mtc__HOL__Obool_])). 0.56/0.82 fof(c_0_1732, plain, ![X1961, X1962]:is_bool(hAPP_f54304608l_bool(X1961,X1962)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__HOL__Obool])). 0.56/0.82 fof(c_0_1733, hypothesis, ![X2111, X2112]:is_bool(hAPP_nat_bool(X2111,X2112)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__HOL__Obool])). 0.56/0.82 fof(c_0_1734, plain, ![X1114, X1115]:is_fun_a_bool(hAPP_nat_fun_a_bool(X1114,X1115)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_It__a_Mtc__HOL__Obool_J])). 0.56/0.82 fof(c_0_1735, plain, ![X816, X817]:is_fun_a_bool(hAPP_f1549043526a_bool(X816,X817)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_It__a_Mtc__HOL])). 0.56/0.82 fof(c_0_1736, plain, ![X1426, X1427]:is_fun_a_bool(image_nat_a(X1426,X1427)), inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__Nat__Onat_000t__a])). 0.56/0.82 fof(c_0_1737, plain, ![X410, X411]:is_fun_a_bool(image_fun_nat_bool_a(X410,X411)), inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000t__a])). 0.56/0.82 fof(c_0_1738, plain, ![X668, X669]:is_fun1661590463l_bool(image_1655916159e_bool(X668,X669)), inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])). 0.56/0.82 cnf(c_0_1739, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))=collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))), inference(rw,[status(thm)],[c_0_1028, c_0_847])). 0.56/0.82 fof(c_0_1740, plain, ![X250, X251]:is_fun1661590463l_bool(hAPP_n850744903l_bool(X250,X251)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool])). 0.56/0.82 fof(c_0_1741, plain, ![X2071, X2072]:is_pname(hAPP_nat_pname(X2071,X2072)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__Com__Opname])). 0.56/0.82 fof(c_0_1742, plain, ![X2231, X2232]:is_pname(hAPP_f1291551745_pname(X2231,X2232)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname])). 0.56/0.82 fof(c_0_1743, plain, ![X110, X111]:is_a(hAPP_nat_a(X110,X111)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000t__a])). 0.56/0.82 fof(c_0_1744, plain, ![X947, X948]:is_fun_pname_bool(hAPP_n1025906991e_bool(X947,X948)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__Nat__Onat_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J])). 0.56/0.82 fof(c_0_1745, plain, ![X1808, X1809]:is_fun_pname_bool(image_1921560913_pname(X1808,X1809)), inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__Com__Opname])). 0.56/0.82 fof(c_0_1746, plain, ![X2044, X2045]:is_fun_pname_bool(hAPP_f654413245e_bool(X2044,X2045)), inference(variable_rename,[status(thm)],[gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__HOL__Obool_J_000tc__fun_Itc__Com__Opna])). 0.56/0.82 fof(c_0_1747, plain, ![X169, X170]:is_fun_pname_bool(image_nat_pname(X169,X170)), inference(variable_rename,[status(thm)],[gsy_c_Set_Oimage_000tc__Nat__Onat_000tc__Com__Opname])). 0.56/0.82 fof(c_0_1748, plain, ![X304]:is_bool(wt(X304)), inference(variable_rename,[status(thm)],[gsy_v_wt])). 0.56/0.82 fof(c_0_1749, plain, ![X1200]:hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1200),X1200)), inference(variable_rename,[status(thm)],[fact_370_order__refl])). 0.56/0.82 fof(c_0_1750, plain, ![X565]:is_a(mgt(X565)), inference(variable_rename,[status(thm)],[gsy_v_mgt])). 0.56/0.82 fof(c_0_1751, plain, ![X168]:hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),X168)), inference(variable_rename,[status(thm)],[fact_444_bot__least])). 0.56/0.82 fof(c_0_1752, plain, ![X255]:image_pname_a(X255,bot_bo844097828e_bool)=bot_bot_fun_a_bool, inference(variable_rename,[status(thm)],[fact_468_image__empty])). 0.56/0.82 cnf(c_0_1753, plain, (bot_bo1701429464l_bool=collect_fun_nat_bool(cOMBK_1994329625t_bool(fFalse))), inference(split_conjunct,[status(thm)],[fact_420_empty__def])). 0.56/0.82 cnf(c_0_1754, plain, (bot_bot_fun_nat_bool=collect_nat(cOMBK_bool_nat(fFalse))), inference(split_conjunct,[status(thm)],[fact_424_empty__def])). 0.56/0.82 cnf(c_0_1755, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X2)))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2))),hAPP_p61793385e_bool(fequal_pname,X1)))|~is_pname(X2)|~is_pname(X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1029, c_0_1030]), c_0_1031]), c_0_1030]), c_0_1031])])]), ['final']). 0.56/0.82 cnf(c_0_1756, plain, (X1=X2|X1=X3|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X3)))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X4)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X1)))), inference(rw,[status(thm)],[c_0_1032, c_0_1033]), ['final']). 0.56/0.82 cnf(c_0_1757, plain, (X1=X2|X3=X1|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X2)))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X4)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1034, c_0_1033]), c_0_1033]), ['final']). 0.56/0.82 cnf(c_0_1758, plain, (hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X1))|~is_pname(X1)), inference(er,[status(thm)],[c_0_1035]), ['final']). 0.56/0.82 cnf(c_0_1759, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),X2)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)|~hBOOL(hAPP_f54304608l_bool(X2,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1036, c_0_845]), c_0_1037]), ['final']). 0.56/0.82 cnf(c_0_1760, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),hAPP_a_fun_a_bool(fequal_a,X2)))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),hAPP_a_fun_a_bool(fequal_a,X1)))|~is_a(X2)|~is_a(X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1038, c_0_1039]), c_0_1040]), c_0_1039]), c_0_1040])])]), ['final']). 0.56/0.82 cnf(c_0_1761, plain, (X1=X2|hAPP_n1699378549t_bool(fequal_nat,X1)!=hAPP_n1699378549t_bool(fequal_nat,X2)), inference(rw,[status(thm)],[c_0_1041, c_0_1033]), ['final']). 0.56/0.82 cnf(c_0_1762, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))))), inference(rw,[status(thm)],[c_0_1042, c_0_841]), ['final']). 0.56/0.82 cnf(c_0_1763, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))))|~is_pname(X1)), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_1043, c_0_1030])]), ['final']). 0.56/0.82 cnf(c_0_1764, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2))),X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1044, c_0_763]), c_0_845]), ['final']). 0.56/0.82 cnf(c_0_1765, plain, (X1=X2|~is_pname(X2)|~is_pname(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))))), inference(rw,[status(thm)],[c_0_1045, c_0_1030]), ['final']). 0.56/0.82 cnf(c_0_1766, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),hAPP_n1699378549t_bool(fequal_nat,X2)))), inference(rw,[status(thm)],[c_0_1046, c_0_758]), ['final']). 0.56/0.82 cnf(c_0_1767, plain, (hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))),X1))|~is_a(X1)), inference(er,[status(thm)],[c_0_1047]), ['final']). 0.56/0.82 cnf(c_0_1768, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(rw,[status(thm)],[c_0_1048, c_0_1049]), ['final']). 0.56/0.82 cnf(c_0_1769, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X1))))|~is_a(X1)), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_1050, c_0_1039])]), ['final']). 0.56/0.82 cnf(c_0_1770, plain, (X1=X2|X1=X3|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X4)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3))),hAPP_p61793385e_bool(fequal_pname,X2)))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1051, c_0_1030]), c_0_1031]), c_0_1030]), c_0_1031]), ['final']). 0.56/0.82 cnf(c_0_1771, plain, (X1=X2|X2=X3|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X3)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4))),hAPP_p61793385e_bool(fequal_pname,X2)))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1052, c_0_1030]), c_0_1031]), c_0_1030]), c_0_1031]), ['final']). 0.56/0.82 cnf(c_0_1772, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1053, c_0_837]), c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1773, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1054, c_0_841]), c_0_841]), ['final']). 0.56/0.82 cnf(c_0_1774, plain, (X2=X3|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))|~is_fun_pname_bool(X3)|~is_fun_pname_bool(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1055, c_0_837]), c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1775, plain, (hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(rw,[status(thm)],[c_0_1056, c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1776, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1057, c_0_1058]), ['final']). 0.56/0.82 cnf(c_0_1777, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(rw,[status(thm)],[c_0_1059, c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1778, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(rw,[status(thm)],[c_0_1060, c_0_867]), ['final']). 0.56/0.82 cnf(c_0_1779, plain, (hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2))=hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(rw,[status(thm)],[c_0_1061, c_0_882]), ['final']). 0.56/0.82 cnf(c_0_1780, plain, (hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X1))=hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X2),X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(rw,[status(thm)],[c_0_1062, c_0_867]), ['final']). 0.56/0.82 cnf(c_0_1781, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1063, c_0_841]), c_0_841]), ['final']). 0.56/0.82 cnf(c_0_1782, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk55_3(X1,X2,X3)),esk56_3(X1,X2,X3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X3,X1)),X2)),hAPP_nat_nat(X3,hAPP_nat_nat(plus_plus_nat(X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_1064]), ['final']). 0.56/0.82 cnf(c_0_1783, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))|~hBOOL(hAPP_pname_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1065, c_0_1030]), ['final']). 0.56/0.82 cnf(c_0_1784, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(rw,[status(thm)],[c_0_1066, c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1785, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(rw,[status(thm)],[c_0_1067, c_0_882]), ['final']). 0.56/0.82 cnf(c_0_1786, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(rw,[status(thm)],[c_0_1068, c_0_841]), ['final']). 0.56/0.82 cnf(c_0_1787, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk20_3(X1,X2,X3)),esk21_3(X1,X2,X3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X3,X1)),hAPP_nat_nat(X3,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1069]), ['final']). 0.56/0.82 cnf(c_0_1788, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2))),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1070, c_0_763]), c_0_845]), ['final']). 0.56/0.82 cnf(c_0_1789, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))), inference(rw,[status(thm)],[c_0_1071, c_0_841]), ['final']). 0.56/0.82 cnf(c_0_1790, plain, (X1=collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))|X1=bot_bo844097828e_bool|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))))|~is_fun_pname_bool(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1072, c_0_1030]), c_0_1030]), ['final']). 0.56/0.82 cnf(c_0_1791, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk55_3(X2,X3,X1))),hAPP_nat_nat(X1,esk56_3(X2,X3,X1))))), inference(split_conjunct,[status(thm)],[c_0_1064]), ['final']). 0.56/0.82 cnf(c_0_1792, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),X2))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1073, c_0_1074]), ['final']). 0.56/0.82 cnf(c_0_1793, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1075, c_0_1058]), ['final']). 0.56/0.82 cnf(c_0_1794, plain, (hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=hAPP_f921600141ol_nat(finite_card_pname,X2)|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(rw,[status(thm)],[c_0_1076, c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1795, plain, (hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))=hAPP_f55526627ol_nat(finite1340463720e_bool,X2)|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))), inference(rw,[status(thm)],[c_0_1077, c_0_867]), ['final']). 0.56/0.82 cnf(c_0_1796, plain, (X1=hAPP_n1699378549t_bool(fequal_nat,X2)|X1=bot_bot_fun_nat_bool|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(fequal_nat,X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1078, c_0_758]), c_0_758]), ['final']). 0.56/0.82 cnf(c_0_1797, plain, (image_pname_pname(X3,X2)=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_pname_pname(X3,X1))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_pname_pname(X3,X2))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(rw,[status(thm)],[c_0_1079, c_0_837]), ['final']). 0.56/0.82 cnf(c_0_1798, plain, (hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),esk33_3(X1,X2,X3))),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),esk34_3(X1,X2,X3))))))), inference(rw,[status(thm)],[c_0_1080, c_0_882]), ['final']). 0.56/0.82 cnf(c_0_1799, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),esk9_3(X1,X2,X3))),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),esk10_3(X1,X2,X3))))))), inference(rw,[status(thm)],[c_0_1081, c_0_867]), ['final']). 0.56/0.82 cnf(c_0_1800, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))|~hBOOL(hAPP_pname_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1082, c_0_1030]), ['final']). 0.56/0.82 cnf(c_0_1801, plain, (hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))=hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))), inference(rw,[status(thm)],[c_0_1083, c_0_882]), ['final']). 0.56/0.82 cnf(c_0_1802, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))=hAPP_f696928925ol_nat(finite346522414t_bool,X2)|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1084, c_0_763]), c_0_845]), ['final']). 0.56/0.83 cnf(c_0_1803, plain, (hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))=hAPP_f22106695ol_nat(finite_card_nat,X2)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(rw,[status(thm)],[c_0_1085, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1804, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_a_pname(X3,X1))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_a_pname(X3,X2))))=image_a_pname(X3,X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(rw,[status(thm)],[c_0_1086, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1805, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),esk67_3(X1,X2,X3))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),esk68_3(X1,X2,X3))))))), inference(rw,[status(thm)],[c_0_1087, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1806, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X1,X2)),hAPP_n1699378549t_bool(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X1,esk35_3(X2,X3,X1))),hAPP_n1699378549t_bool(X1,hAPP_nat_nat(suc,esk35_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1088]), ['final']). 0.56/0.83 cnf(c_0_1807, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X1,X3)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk107_3(X2,X3,X1))),hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk107_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1089]), ['final']). 0.56/0.83 cnf(c_0_1808, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1,X2)),hAPP_n1025906991e_bool(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1,esk90_3(X2,X3,X1))),hAPP_n1025906991e_bool(X1,hAPP_nat_nat(suc,esk90_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1090]), ['final']). 0.56/0.83 cnf(c_0_1809, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)),X2))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1091, c_0_1074]), ['final']). 0.56/0.83 cnf(c_0_1810, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(rw,[status(thm)],[c_0_1092, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1811, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))), inference(rw,[status(thm)],[c_0_1093, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1812, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,esk81_3(X2,X3,X1))),hAPP_nat_nat(X1,hAPP_nat_nat(suc,esk81_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1094]), ['final']). 0.56/0.83 cnf(c_0_1813, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,esk50_3(X1,X3,X2)))),esk51_3(X1,X3,X2))))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1095, c_0_763]), c_0_845]), ['final']). 0.56/0.83 cnf(c_0_1814, plain, (hBOOL(hAPP_f54304608l_bool(X1,X2))|~hBOOL(hAPP_f54304608l_bool(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,esk131_3(X1,X3,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),esk132_3(X1,X3,X2)))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(rw,[status(thm)],[c_0_1096, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1815, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk20_3(X2,X3,X1))),hAPP_nat_nat(X1,esk21_3(X2,X3,X1))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1069]), ['final']). 0.56/0.83 cnf(c_0_1816, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))), inference(rw,[status(thm)],[c_0_1097, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1817, plain, (hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))),X2))|~is_pname(X3)|~is_pname(X2)|~hBOOL(hAPP_pname_bool(X1,X2))), inference(rw,[status(thm)],[c_0_1098, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1818, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))), inference(rw,[status(thm)],[c_0_1099, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1819, plain, (X1=X2|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|~is_pname(X2)|~is_pname(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))), inference(rw,[status(thm)],[c_0_1100, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1820, plain, (X1=X2|collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))!=collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))|~is_pname(X2)|~is_pname(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1101, c_0_1030]), c_0_1030]), ['final']). 0.56/0.83 cnf(c_0_1821, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fequal_nat,X2)),hAPP_fun_a_bool_nat(X2,esk24_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1102]), ['final']). 0.56/0.83 cnf(c_0_1822, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fequal_pname,X2)),hAPP_f1128469712_pname(X2,esk41_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1103]), ['final']). 0.56/0.83 cnf(c_0_1823, plain, (hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,X2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(rw,[status(thm)],[c_0_1104, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1824, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X1,X2)),hAPP_nat_fun_a_bool(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X1,esk130_3(X2,X3,X1))),hAPP_nat_fun_a_bool(X1,hAPP_nat_nat(suc,esk130_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1105]), ['final']). 0.56/0.83 cnf(c_0_1825, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4))), inference(split_conjunct,[status(thm)],[c_0_1106]), ['final']). 0.56/0.83 cnf(c_0_1826, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1107]), ['final']). 0.56/0.83 cnf(c_0_1827, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))), inference(rw,[status(thm)],[c_0_1108, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1828, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fequal_nat,X2)),hAPP_f921600141ol_nat(X2,esk127_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1109]), ['final']). 0.56/0.83 cnf(c_0_1829, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fequal_pname,X2)),hAPP_f1297739591_pname(X2,esk134_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1110]), ['final']). 0.56/0.83 cnf(c_0_1830, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fequal_fun_a_bool,X2)),hAPP_p1534023578a_bool(X2,esk75_2(X2,X1)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1111]), ['final']). 0.56/0.83 cnf(c_0_1831, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fequal_fun_nat_bool,X2)),hAPP_p1499970991t_bool(X2,esk73_2(X2,X1)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1112]), ['final']). 0.56/0.83 cnf(c_0_1832, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))), inference(rw,[status(thm)],[c_0_1113, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1833, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,X2))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1114, c_0_763]), c_0_845]), ['final']). 0.56/0.83 cnf(c_0_1834, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X3),X2)),hAPP_nat_nat(minus_minus_nat(X3),X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))), inference(split_conjunct,[status(thm)],[c_0_1115]), ['final']). 0.56/0.83 cnf(c_0_1835, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X4))), inference(split_conjunct,[status(thm)],[c_0_1116]), ['final']). 0.56/0.83 cnf(c_0_1836, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk33_3(X1,X2,X3)),X2))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_889]), ['final']). 0.56/0.83 cnf(c_0_1837, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk50_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_795]), ['final']). 0.56/0.83 cnf(c_0_1838, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,X2)),hAPP_pname_a(X2,esk25_2(X2,X1)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1117]), ['final']). 0.56/0.83 cnf(c_0_1839, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fequal533582459e_bool,X2)),hAPP_p61793385e_bool(X2,esk28_2(X2,X1)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1118]), ['final']). 0.56/0.83 cnf(c_0_1840, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fequal_nat,X2)),hAPP_pname_nat(X2,esk74_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1119]), ['final']). 0.56/0.83 cnf(c_0_1841, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fequal_pname,X2)),hAPP_pname_pname(X2,esk17_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1120]), ['final']). 0.56/0.83 cnf(c_0_1842, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X2),X1))),X3)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X2)),hAPP_nat_nat(plus_plus_nat(X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1121]), ['final']). 0.56/0.83 cnf(c_0_1843, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,hAPP_a_nat(X1,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_a_nat(X1,X3)))=image_a_nat(X1,X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X3))), inference(rw,[status(thm)],[c_0_1122, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1844, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk9_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_890]), ['final']). 0.56/0.83 cnf(c_0_1845, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk131_3(X1,X2,X3)),X2))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_796]), ['final']). 0.56/0.83 cnf(c_0_1846, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk67_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))), inference(split_conjunct,[status(thm)],[c_0_895]), ['final']). 0.56/0.83 cnf(c_0_1847, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk23_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1123]), ['final']). 0.56/0.83 cnf(c_0_1848, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk14_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1124]), ['final']). 0.56/0.83 cnf(c_0_1849, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f621171935l_bool(X1,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),esk104_2(X1,X2))),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),esk105_2(X1,X2))))))), inference(rw,[status(thm)],[c_0_1125, c_0_882]), ['final']). 0.56/0.83 cnf(c_0_1850, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),esk36_2(X1,X2))),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),esk37_2(X1,X2))))))), inference(rw,[status(thm)],[c_0_1126, c_0_867]), ['final']). 0.56/0.83 cnf(c_0_1851, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X2,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fequal_nat,X2)),hAPP_f22106695ol_nat(X2,esk12_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1127, c_0_733]), ['final']). 0.56/0.83 cnf(c_0_1852, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,hAPP_pname_nat(X1,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_pname_nat(X1,X3)))=image_pname_nat(X1,X3)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))), inference(rw,[status(thm)],[c_0_1128, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1853, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk78_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1129]), ['final']). 0.56/0.83 cnf(c_0_1854, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk58_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1130]), ['final']). 0.56/0.83 cnf(c_0_1855, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X2,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fequal_pname,X2)),hAPP_f1291551745_pname(X2,esk40_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1131, c_0_733]), ['final']). 0.56/0.83 cnf(c_0_1856, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,X2)),hAPP_nat_fun_a_bool(X2,esk26_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1132, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_1857, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,X2)),hAPP_n1699378549t_bool(X2,esk117_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1133, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_1858, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fequal_a,X2)),hAPP_nat_a(X2,esk3_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1134, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_1859, plain, (X1=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))|~is_fun_pname_bool(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))), inference(rw,[status(thm)],[c_0_1135, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1860, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(rw,[status(thm)],[c_0_1136, c_0_867]), ['final']). 0.56/0.83 cnf(c_0_1861, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(rw,[status(thm)],[c_0_1137, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1862, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,X2)),hAPP_n1025906991e_bool(X2,esk83_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1138, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_1863, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fequal_nat,X2)),hAPP_nat_nat(X2,esk119_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1139, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_1864, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fequal_pname,X2)),hAPP_nat_pname(X2,esk27_2(X2,X1))))))), inference(rw,[status(thm)],[c_0_1140, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_1865, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,esk124_2(X1,X2)))),esk125_2(X1,X2))))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1141, c_0_763]), c_0_845]), ['final']). 0.56/0.83 cnf(c_0_1866, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X3),X2)))=hAPP_nat_nat(minus_minus_nat(X1),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(rw,[status(thm)],[c_0_1142, c_0_1143]), ['final']). 0.56/0.83 cnf(c_0_1867, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk66_3(X1,X2,X3)),X3))|hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(X1,X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1144]), ['final']). 0.56/0.83 cnf(c_0_1868, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk66_3(X1,X2,X3))))|hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(X1,X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1144]), ['final']). 0.56/0.83 cnf(c_0_1869, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1)))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(rw,[status(thm)],[c_0_1145, c_0_882]), ['final']). 0.56/0.83 cnf(c_0_1870, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk7_3(X2,X1,X3))))|hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_1146]), ['final']). 0.56/0.83 cnf(c_0_1871, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk13_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1147]), ['final']). 0.56/0.83 cnf(c_0_1872, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk71_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1148]), ['final']). 0.56/0.83 cnf(c_0_1873, plain, (is_fun1661590463l_bool(collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))))|~is_fun_pname_bool(X2)|~is_fun1661590463l_bool(X1)), inference(rw,[status(thm)],[c_0_1149, c_0_867]), ['final']). 0.56/0.83 cnf(c_0_1874, plain, (is_fun_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))|~is_fun_pname_bool(X2)|~is_pname(X1)), inference(rw,[status(thm)],[c_0_1150, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1875, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)),X3))|~hBOOL(hAPP_nat_bool(X2,X3))), inference(rw,[status(thm)],[c_0_1151, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1876, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(suc,X2))=hAPP_nat_nat(minus_minus_nat(X3),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X2),X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1152]), ['final']). 0.56/0.83 cnf(c_0_1877, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1153, c_0_763]), c_0_845]), ['final']). 0.56/0.83 cnf(c_0_1878, plain, (hBOOL(hAPP_f621171935l_bool(X1,esk34_3(X1,X2,X3)))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_889]), ['final']). 0.56/0.83 cnf(c_0_1879, plain, (hBOOL(hAPP_f1637334154l_bool(X1,esk51_3(X1,X2,X3)))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_795]), ['final']). 0.56/0.83 cnf(c_0_1880, plain, (hBOOL(hAPP_f1935102916l_bool(X1,esk10_3(X1,X2,X3)))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_890]), ['final']). 0.56/0.83 cnf(c_0_1881, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1154]), ['final']). 0.56/0.83 cnf(c_0_1882, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1155]), ['final']). 0.56/0.83 cnf(c_0_1883, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2))), inference(csr,[status(thm)],[c_0_1156, c_0_1157]), ['final']). 0.56/0.83 cnf(c_0_1884, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(rw,[status(thm)],[c_0_1158, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1885, plain, (hBOOL(hAPP_f54304608l_bool(X1,esk132_3(X1,X2,X3)))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_796]), ['final']). 0.56/0.83 cnf(c_0_1886, plain, (hBOOL(hAPP_f1664156314l_bool(X1,esk68_3(X1,X2,X3)))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))), inference(split_conjunct,[status(thm)],[c_0_895]), ['final']). 0.56/0.83 cnf(c_0_1887, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk34_3(X1,X2,X3)))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_889]), ['final']). 0.56/0.83 cnf(c_0_1888, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk51_3(X1,X2,X3)))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_795]), ['final']). 0.56/0.83 cnf(c_0_1889, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1159]), ['final']). 0.56/0.83 cnf(c_0_1890, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1160]), ['final']). 0.56/0.83 cnf(c_0_1891, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1161]), ['final']). 0.56/0.83 cnf(c_0_1892, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1162]), ['final']). 0.56/0.83 cnf(c_0_1893, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1163]), ['final']). 0.56/0.83 cnf(c_0_1894, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1164]), ['final']). 0.56/0.83 cnf(c_0_1895, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk10_3(X1,X2,X3)))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_890]), ['final']). 0.56/0.83 cnf(c_0_1896, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk132_3(X1,X2,X3)))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_796]), ['final']). 0.56/0.83 cnf(c_0_1897, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk68_3(X1,X2,X3)))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))), inference(split_conjunct,[status(thm)],[c_0_895]), ['final']). 0.56/0.83 cnf(c_0_1898, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1165]), ['final']). 0.56/0.83 cnf(c_0_1899, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))), inference(rw,[status(thm)],[c_0_1166, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1900, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk16_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1167]), ['final']). 0.56/0.83 cnf(c_0_1901, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk19_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1168]), ['final']). 0.56/0.83 cnf(c_0_1902, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X3),X2)),hAPP_nat_nat(minus_minus_nat(X3),X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1169]), ['final']). 0.56/0.83 cnf(c_0_1903, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fequal_fun_nat_bool,X2)),hAPP_a_fun_nat_bool(X2,esk65_2(X2,X1)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1170]), ['final']). 0.56/0.83 cnf(c_0_1904, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fequal533582459e_bool,X2)),hAPP_a93125764e_bool(X2,esk76_2(X2,X1)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1171]), ['final']). 0.56/0.83 cnf(c_0_1905, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fequal_nat,X2)),hAPP_a_nat(X2,esk43_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1172]), ['final']). 0.56/0.83 cnf(c_0_1906, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fequal_pname,X2)),hAPP_a_pname(X2,esk30_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1173]), ['final']). 0.56/0.83 cnf(c_0_1907, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk60_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1174]), ['final']). 0.56/0.83 cnf(c_0_1908, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk101_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1175]), ['final']). 0.56/0.83 cnf(c_0_1909, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk59_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1176]), ['final']). 0.56/0.83 cnf(c_0_1910, plain, (hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk33_3(X1,X2,X3)),esk34_3(X1,X2,X3)))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_889]), ['final']). 0.56/0.83 cnf(c_0_1911, plain, (is_fun949378684l_bool(collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1))))|~is_fun_a_bool(X2)|~is_fun949378684l_bool(X1)), inference(rw,[status(thm)],[c_0_1177, c_0_882]), ['final']). 0.56/0.83 cnf(c_0_1912, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X3)),X1)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X2),X1)),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1178]), ['final']). 0.56/0.83 cnf(c_0_1913, plain, (X1=X2|X2=X3|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),hAPP_a_fun_a_bool(fequal_a,X3)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),hAPP_a_fun_a_bool(fequal_a,X4)))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1179, c_0_1039]), c_0_1040]), c_0_1039]), c_0_1040]), ['final']). 0.56/0.83 cnf(c_0_1914, plain, (X1=X2|X2=X3|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3))),hAPP_a_fun_a_bool(fequal_a,X1)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X4))),hAPP_a_fun_a_bool(fequal_a,X2)))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1180, c_0_1039]), c_0_1040]), c_0_1039]), c_0_1040]), ['final']). 0.56/0.83 cnf(c_0_1915, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk50_3(X1,X2,X3)),esk51_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_795]), ['final']). 0.56/0.83 cnf(c_0_1916, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk9_3(X1,X2,X3)),esk10_3(X1,X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_890]), ['final']). 0.56/0.83 cnf(c_0_1917, plain, (hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk131_3(X1,X2,X3)),esk132_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_796]), ['final']). 0.56/0.83 cnf(c_0_1918, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk67_3(X1,X2,X3)),esk68_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))), inference(split_conjunct,[status(thm)],[c_0_895]), ['final']). 0.56/0.83 cnf(c_0_1919, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1181]), ['final']). 0.56/0.83 cnf(c_0_1920, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X2)),hAPP_f22106695ol_nat(finite_card_nat,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1182]), ['final']). 0.56/0.83 cnf(c_0_1921, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X2)),hAPP_f921600141ol_nat(finite_card_pname,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1183]), ['final']). 0.56/0.83 cnf(c_0_1922, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X2)),hAPP_f696928925ol_nat(finite346522414t_bool,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1184]), ['final']). 0.56/0.83 cnf(c_0_1923, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X2)),hAPP_f55526627ol_nat(finite1340463720e_bool,X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1185]), ['final']). 0.56/0.83 cnf(c_0_1924, plain, (X1=X3|hBOOL(hAPP_pname_bool(X2,X3))|~is_pname(X3)|~is_pname(X1)|~hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X3))), inference(rw,[status(thm)],[c_0_1186, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1925, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk6_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1187]), ['final']). 0.56/0.83 cnf(c_0_1926, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk97_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1188]), ['final']). 0.56/0.83 cnf(c_0_1927, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk45_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1189]), ['final']). 0.56/0.83 cnf(c_0_1928, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk87_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1190]), ['final']). 0.56/0.83 cnf(c_0_1929, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(X2,X1))),hAPP_f696928925ol_nat(finite346522414t_bool,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1191]), ['final']). 0.56/0.83 cnf(c_0_1930, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(X2,X1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1192]), ['final']). 0.56/0.83 cnf(c_0_1931, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(X2,X1))),hAPP_f921600141ol_nat(finite_card_pname,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1193]), ['final']). 0.56/0.83 cnf(c_0_1932, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk18_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1194]), ['final']). 0.56/0.83 cnf(c_0_1933, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))),X2))), inference(rw,[status(thm)],[c_0_1195, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1934, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))),X2))), inference(rw,[status(thm)],[c_0_1196, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_1935, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(X2,X1))),hAPP_f55526627ol_nat(finite1340463720e_bool,X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1197]), ['final']). 0.56/0.83 cnf(c_0_1936, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk112_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1198]), ['final']). 0.56/0.83 cnf(c_0_1937, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk95_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1199]), ['final']). 0.56/0.83 cnf(c_0_1938, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(X2,X1))),hAPP_f921600141ol_nat(finite_card_pname,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1200]), ['final']). 0.56/0.83 cnf(c_0_1939, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))), inference(split_conjunct,[status(thm)],[c_0_932]), ['final']). 0.56/0.83 cnf(c_0_1940, plain, (is_fun949378684l_bool(esk34_3(X1,X2,X3))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_889]), ['final']). 0.56/0.83 cnf(c_0_1941, plain, (is_fun_a_bool(esk33_3(X1,X2,X3))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_889]), ['final']). 0.56/0.83 cnf(c_0_1942, plain, (is_fun1661590463l_bool(esk10_3(X1,X2,X3))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_890]), ['final']). 0.56/0.83 cnf(c_0_1943, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(X2,X1))),hAPP_f22106695ol_nat(finite_card_nat,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1201]), ['final']). 0.56/0.83 cnf(c_0_1944, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk47_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_nat_pname(X2,X3)))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1202]), ['final']). 0.56/0.83 cnf(c_0_1945, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(rw,[status(thm)],[c_0_1203, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_1946, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk98_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1204]), ['final']). 0.56/0.83 cnf(c_0_1947, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk1_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1205]), ['final']). 0.56/0.83 cnf(c_0_1948, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(X2,X1))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1206]), ['final']). 0.56/0.83 cnf(c_0_1949, plain, (is_fun_pname_bool(esk9_3(X1,X2,X3))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_890]), ['final']). 0.56/0.83 cnf(c_0_1950, plain, (is_pname(esk67_3(X1,X2,X3))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))), inference(split_conjunct,[status(thm)],[c_0_895]), ['final']). 0.56/0.83 cnf(c_0_1951, plain, (is_fun_pname_bool(esk68_3(X1,X2,X3))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))), inference(split_conjunct,[status(thm)],[c_0_895]), ['final']). 0.56/0.83 cnf(c_0_1952, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))),X2))), inference(rw,[status(thm)],[c_0_1207, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1953, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(X2,X1))),hAPP_f55526627ol_nat(finite1340463720e_bool,X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1208]), ['final']). 0.56/0.83 cnf(c_0_1954, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),X2)=hAPP_nat_nat(minus_minus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1209]), ['final']). 0.56/0.83 cnf(c_0_1955, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk22_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1210]), ['final']). 0.56/0.83 cnf(c_0_1956, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk123_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1211]), ['final']). 0.56/0.83 cnf(c_0_1957, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk44_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1212]), ['final']). 0.56/0.83 cnf(c_0_1958, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(X2,X1))),hAPP_f696928925ol_nat(finite346522414t_bool,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1213]), ['final']). 0.56/0.83 cnf(c_0_1959, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))),X2))), inference(rw,[status(thm)],[c_0_1214, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_1960, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,X2)),X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk38_2(X1,X2)),hAPP_nat_nat(X2,esk38_2(X1,X2))))), inference(rw,[status(thm)],[c_0_1215, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_1961, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))), inference(split_conjunct,[status(thm)],[c_0_1216]), ['final']). 0.56/0.83 cnf(c_0_1962, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))), inference(split_conjunct,[status(thm)],[c_0_1217]), ['final']). 0.56/0.83 cnf(c_0_1963, plain, (hAPP_nat_nat(suc,X1)=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1218]), ['final']). 0.56/0.83 cnf(c_0_1964, plain, (X2=X3|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))|~is_fun_a_bool(X3)|~is_fun_a_bool(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1219, c_0_847]), c_0_847]), ['final']). 0.56/0.83 cnf(c_0_1965, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk114_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1220]), ['final']). 0.56/0.83 cnf(c_0_1966, plain, (hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X1))=hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(rw,[status(thm)],[c_0_1221, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_1967, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk41_2(X1,X2)),X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1103]), ['final']). 0.56/0.83 cnf(c_0_1968, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1222]), ['final']). 0.56/0.83 cnf(c_0_1969, plain, (hAPP_nat_nat(plus_plus_nat(X3),hAPP_nat_nat(minus_minus_nat(X2),X1))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X2)),X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1223]), ['final']). 0.56/0.83 cnf(c_0_1970, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk24_2(X1,X2)),X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1102]), ['final']). 0.56/0.83 cnf(c_0_1971, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk40_2(X1,X2)),X2))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_914]), ['final']). 0.56/0.83 cnf(c_0_1972, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk12_2(X1,X2)),X2))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_912]), ['final']). 0.56/0.83 cnf(c_0_1973, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk134_2(X1,X2)),X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1110]), ['final']). 0.56/0.83 cnf(c_0_1974, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1224]), ['final']). 0.56/0.83 cnf(c_0_1975, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk115_3(X1,X2,X3)),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1225]), ['final']). 0.56/0.83 cnf(c_0_1976, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk127_2(X1,X2)),X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1109]), ['final']). 0.56/0.83 cnf(c_0_1977, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk119_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_922]), ['final']). 0.56/0.83 cnf(c_0_1978, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk117_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_916]), ['final']). 0.56/0.83 cnf(c_0_1979, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk83_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_921]), ['final']). 0.56/0.83 cnf(c_0_1980, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk77_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1226]), ['final']). 0.56/0.83 cnf(c_0_1981, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1227]), ['final']). 0.56/0.83 cnf(c_0_1982, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk8_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1228]), ['final']). 0.56/0.83 cnf(c_0_1983, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk27_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_923]), ['final']). 0.56/0.83 cnf(c_0_1984, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk26_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_915]), ['final']). 0.56/0.83 cnf(c_0_1985, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk75_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1111]), ['final']). 0.56/0.83 cnf(c_0_1986, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk74_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1119]), ['final']). 0.56/0.83 cnf(c_0_1987, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(X2,X1))),hAPP_fun_a_bool_nat(finite_card_a,X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_1229]), ['final']). 0.56/0.83 cnf(c_0_1988, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1230]), ['final']). 0.56/0.83 cnf(c_0_1989, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1231]), ['final']). 0.56/0.83 cnf(c_0_1990, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(X2,X1))),hAPP_fun_a_bool_nat(finite_card_a,X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_1232]), ['final']). 0.56/0.83 cnf(c_0_1991, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk73_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1112]), ['final']). 0.56/0.83 cnf(c_0_1992, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1118]), ['final']). 0.56/0.83 cnf(c_0_1993, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk17_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1120]), ['final']). 0.56/0.83 cnf(c_0_1994, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(X2,X1))),hAPP_fun_a_bool_nat(finite_card_a,X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_1233]), ['final']). 0.56/0.83 cnf(c_0_1995, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1234]), ['final']). 0.56/0.83 cnf(c_0_1996, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk16_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1167]), ['final']). 0.56/0.83 cnf(c_0_1997, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk54_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_nat_a(X2,X3)))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1235]), ['final']). 0.56/0.83 cnf(c_0_1998, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),esk91_3(X1,X2,X3))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),esk92_3(X1,X2,X3))))))), inference(rw,[status(thm)],[c_0_1236, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_1999, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(X2,X1))),hAPP_f921600141ol_nat(finite_card_pname,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1237]), ['final']). 0.56/0.83 cnf(c_0_2000, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk19_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1168]), ['final']). 0.56/0.83 cnf(c_0_2001, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk60_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1174]), ['final']). 0.56/0.83 cnf(c_0_2002, plain, (image_819518260e_bool(X1,esk112_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1198]), ['final']). 0.56/0.83 cnf(c_0_2003, plain, (image_112932426a_bool(X1,esk58_3(X1,X2,X3))=X3|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1130]), ['final']). 0.56/0.83 cnf(c_0_2004, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X3,X1)),image_pname_nat(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1238]), ['final']). 0.56/0.83 cnf(c_0_2005, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk46_2(X1,X2)),u))|~hBOOL(wt(X2))), inference(rw,[status(thm)],[c_0_1239, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2006, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk89_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_pname_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1240]), ['final']). 0.56/0.83 cnf(c_0_2007, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_nat_a(X3,X1))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_nat_a(X3,X2))))=image_nat_a(X3,X2)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(rw,[status(thm)],[c_0_1241, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2008, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X3)),hAPP_pname_bool(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1242]), ['final']). 0.56/0.83 cnf(c_0_2009, plain, (image_pname_pname(X1,esk59_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1176]), ['final']). 0.56/0.83 cnf(c_0_2010, plain, (image_a_pname(X1,esk109_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1243]), ['final']). 0.56/0.83 cnf(c_0_2011, plain, (image_1655916159e_bool(X1,esk23_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1123]), ['final']). 0.56/0.83 cnf(c_0_2012, plain, (image_47868345e_bool(X1,esk78_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1129]), ['final']). 0.56/0.83 cnf(c_0_2013, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X2)),hAPP_fun_a_bool_nat(finite_card_a,X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1244]), ['final']). 0.56/0.83 cnf(c_0_2014, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fequal_fun_a_bool,X2)),hAPP_a_fun_a_bool(X2,esk61_2(X2,X1)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1245]), ['final']). 0.56/0.83 cnf(c_0_2015, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk3_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_917]), ['final']). 0.56/0.83 cnf(c_0_2016, plain, (X1=image_a_fun_a_bool(X2,esk95_3(X2,X3,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),image_a_fun_a_bool(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1199]), ['final']). 0.56/0.83 cnf(c_0_2017, plain, (X1=image_1921560913_pname(X2,esk19_3(X2,X3,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1921560913_pname(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1168]), ['final']). 0.56/0.83 cnf(c_0_2018, plain, (X1=image_nat_fun_a_bool(X2,esk14_3(X2,X3,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),image_nat_fun_a_bool(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1124]), ['final']). 0.56/0.83 cnf(c_0_2019, plain, (X1=image_1854862208_pname(X2,esk16_3(X2,X3,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1854862208_pname(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1167]), ['final']). 0.56/0.83 cnf(c_0_2020, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X3)),hAPP_nat_bool(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1246]), ['final']). 0.56/0.83 cnf(c_0_2021, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk72_2(X1,X2)))|X2=hAPP_nat_nat(suc,X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1247]), ['final']). 0.56/0.83 cnf(c_0_2022, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk2_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_nat_a(X2,X3)))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1248]), ['final']). 0.56/0.83 cnf(c_0_2023, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk79_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1249]), ['final']). 0.56/0.83 cnf(c_0_2024, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk69_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1250]), ['final']). 0.56/0.83 cnf(c_0_2025, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk91_3(X1,X2,X3)),X2))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))), inference(split_conjunct,[status(thm)],[c_0_945]), ['final']). 0.56/0.83 cnf(c_0_2026, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X3,X1)),image_nat_pname(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1251]), ['final']). 0.56/0.83 cnf(c_0_2027, plain, (X1=image_1283814551_pname(X2,esk60_3(X2,X3,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1174]), ['final']). 0.56/0.83 cnf(c_0_2028, plain, (X1=image_nat_pname(X2,esk101_3(X2,X3,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_nat_pname(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1175]), ['final']). 0.56/0.83 cnf(c_0_2029, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk109_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1243]), ['final']). 0.56/0.83 cnf(c_0_2030, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X2),X1))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X2)))), inference(split_conjunct,[status(thm)],[c_0_1252]), ['final']). 0.56/0.83 cnf(c_0_2031, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X2),X1))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))), inference(split_conjunct,[status(thm)],[c_0_1253]), ['final']). 0.56/0.83 cnf(c_0_2032, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X2),X1))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))), inference(split_conjunct,[status(thm)],[c_0_1254]), ['final']). 0.56/0.83 cnf(c_0_2033, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1255]), ['final']). 0.56/0.83 cnf(c_0_2034, plain, (X1=X2|hBOOL(hAPP_nat_bool(X3,X2))|~hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)),X2))), inference(rw,[status(thm)],[c_0_1256, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2035, plain, (X1=X2|~is_fun949378684l_bool(X1)|~is_fun949378684l_bool(X2)|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)))), inference(split_conjunct,[status(thm)],[c_0_1257]), ['final']). 0.56/0.83 cnf(c_0_2036, plain, (X1=X2|~is_fun_a_bool(X1)|~is_fun_a_bool(X2)|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,X2)))), inference(split_conjunct,[status(thm)],[c_0_1258]), ['final']). 0.56/0.83 cnf(c_0_2037, plain, (X1=X2|~is_fun1661590463l_bool(X1)|~is_fun1661590463l_bool(X2)|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))), inference(split_conjunct,[status(thm)],[c_0_1259]), ['final']). 0.56/0.83 cnf(c_0_2038, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X1)),X2)=hAPP_n1699378549t_bool(fequal_nat,X1)|~hBOOL(hAPP_nat_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1260, c_0_758]), ['final']). 0.56/0.83 cnf(c_0_2039, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk91_3(X1,X2,X3)),esk92_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))), inference(split_conjunct,[status(thm)],[c_0_945]), ['final']). 0.56/0.83 cnf(c_0_2040, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fequal_a,X2)),hAPP_a_a(X2,esk120_2(X2,X1)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_1261]), ['final']). 0.56/0.83 cnf(c_0_2041, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk109_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1243]), ['final']). 0.56/0.83 cnf(c_0_2042, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1117]), ['final']). 0.56/0.83 cnf(c_0_2043, plain, (X2=X1|~is_fun_pname_bool(X1)|~is_fun_pname_bool(X2)|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,X2)))), inference(split_conjunct,[status(thm)],[c_0_1262]), ['final']). 0.56/0.83 cnf(c_0_2044, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk80_2(X1,X2))),hAPP_nat_bool(X2,esk80_2(X1,X2))))), inference(split_conjunct,[status(thm)],[c_0_1263]), ['final']). 0.56/0.83 cnf(c_0_2045, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,esk32_2(X1,X2))),hAPP_pname_bool(X2,esk32_2(X1,X2))))), inference(split_conjunct,[status(thm)],[c_0_1264]), ['final']). 0.56/0.83 cnf(c_0_2046, plain, (image_2129980159t_bool(X1,esk71_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1148]), ['final']). 0.56/0.83 cnf(c_0_2047, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hAPP_nat_nat(plus_plus_nat(X1),X3)!=hAPP_nat_nat(plus_plus_nat(X4),X2)), inference(split_conjunct,[status(thm)],[c_0_1265]), ['final']). 0.56/0.83 cnf(c_0_2048, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk6_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1187]), ['final']). 0.56/0.83 cnf(c_0_2049, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk97_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1188]), ['final']). 0.56/0.83 cnf(c_0_2050, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk45_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1189]), ['final']). 0.56/0.83 cnf(c_0_2051, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk129_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1266]), ['final']). 0.56/0.83 cnf(c_0_2052, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk85_3(X1,X2,X3)),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1267]), ['final']). 0.56/0.83 cnf(c_0_2053, plain, (image_26036933t_bool(X1,esk13_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1147]), ['final']). 0.56/0.83 cnf(c_0_2054, plain, (image_nat_nat(X1,esk87_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1190]), ['final']). 0.56/0.83 cnf(c_0_2055, plain, (image_fun_a_bool_nat(X1,esk6_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1187]), ['final']). 0.56/0.83 cnf(c_0_2056, plain, (image_pname_nat(X1,esk18_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1194]), ['final']). 0.56/0.83 cnf(c_0_2057, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk86_3(X1,X2,X3)),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1268]), ['final']). 0.56/0.83 cnf(c_0_2058, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(rw,[status(thm)],[c_0_1269, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2059, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,hAPP_pname_a(mgt_call,X2)))))|~hBOOL(hAPP_fun_a_bool_bool(p(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(the_com(body(X2)))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1270, c_0_1039]), c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2060, plain, (image_fun_a_bool_a(X1,esk98_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1204]), ['final']). 0.56/0.83 cnf(c_0_2061, plain, (image_a_a(X1,esk39_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1271]), ['final']). 0.56/0.83 cnf(c_0_2062, plain, (image_876012084bool_a(X1,esk22_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1210]), ['final']). 0.56/0.83 cnf(c_0_2063, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk116_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1272]), ['final']). 0.56/0.83 cnf(c_0_2064, plain, (X1=image_a_fun_nat_bool(X2,esk114_3(X2,X3,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),image_a_fun_nat_bool(X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1220]), ['final']). 0.56/0.83 cnf(c_0_2065, plain, (X1=image_496248727ol_nat(X2,esk97_3(X2,X3,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_496248727ol_nat(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1188]), ['final']). 0.56/0.83 cnf(c_0_2066, plain, (X1=image_a_nat(X2,esk70_3(X2,X3,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1273]), ['final']). 0.56/0.83 cnf(c_0_2067, plain, (X1=image_1551609309ol_nat(X2,esk45_3(X2,X3,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_1551609309ol_nat(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1189]), ['final']). 0.56/0.83 cnf(c_0_2068, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X3,X1)),image_a_nat(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1274]), ['final']). 0.56/0.83 cnf(c_0_2069, plain, (X1=image_nat_a(X2,esk123_3(X2,X3,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_nat_a(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1211]), ['final']). 0.56/0.83 cnf(c_0_2070, plain, (X1=image_fun_nat_bool_a(X2,esk1_3(X2,X3,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_fun_nat_bool_a(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1205]), ['final']). 0.56/0.83 cnf(c_0_2071, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk48_3(X1,X2,X3)),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1275]), ['final']). 0.56/0.83 cnf(c_0_2072, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X1,esk4_2(X1,X2))),hAPP_a_bool(X2,esk4_2(X1,X2))))), inference(split_conjunct,[status(thm)],[c_0_1276]), ['final']). 0.56/0.83 cnf(c_0_2073, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1277]), ['final']). 0.56/0.83 cnf(c_0_2074, plain, (X1=hAPP_nat_nat(suc,X2)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))), inference(split_conjunct,[status(thm)],[c_0_1278]), ['final']). 0.56/0.83 cnf(c_0_2075, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1279]), ['final']). 0.56/0.83 cnf(c_0_2076, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X2)),X1)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1280]), ['final']). 0.56/0.83 cnf(c_0_2077, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X3,X1)),image_a_nat(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1281]), ['final']). 0.56/0.83 cnf(c_0_2078, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X1,X3)),hAPP_a_bool(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1282]), ['final']). 0.56/0.83 cnf(c_0_2079, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X3,X1)),image_a_pname(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1283]), ['final']). 0.56/0.83 cnf(c_0_2080, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1284]), ['final']). 0.56/0.83 cnf(c_0_2081, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X1,esk115_3(X1,X2,X3))),X2))), inference(split_conjunct,[status(thm)],[c_0_1225]), ['final']). 0.56/0.83 cnf(c_0_2082, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X1,esk86_3(X1,X2,X3))),X2))), inference(split_conjunct,[status(thm)],[c_0_1268]), ['final']). 0.56/0.83 cnf(c_0_2083, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(X1,esk77_3(X1,X2,X3))),X2))), inference(split_conjunct,[status(thm)],[c_0_1226]), ['final']). 0.56/0.83 cnf(c_0_2084, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1285]), ['final']). 0.56/0.83 cnf(c_0_2085, plain, (hBOOL(X1)|hBOOL(X2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1286]), ['final']). 0.56/0.83 cnf(c_0_2086, plain, (hBOOL(X1)|hBOOL(X2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1287]), ['final']). 0.56/0.83 cnf(c_0_2087, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(X1,esk116_3(X1,X2,X3))),X2))), inference(split_conjunct,[status(thm)],[c_0_1272]), ['final']). 0.56/0.83 cnf(c_0_2088, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X1,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X1,esk8_3(X1,X2,X3))),X2))), inference(split_conjunct,[status(thm)],[c_0_1228]), ['final']). 0.56/0.83 cnf(c_0_2089, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk112_3(X1,X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1198]), ['final']). 0.56/0.83 cnf(c_0_2090, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1288]), ['final']). 0.56/0.83 cnf(c_0_2091, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|~hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,hAPP_pname_a(mgt_call,esk46_2(X1,X2))))))|~hBOOL(wt(X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1289, c_0_1039]), c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2092, plain, (hBOOL(hAPP_f621171935l_bool(X1,esk105_2(X1,X2)))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_910]), ['final']). 0.56/0.83 cnf(c_0_2093, plain, (hBOOL(hAPP_f1637334154l_bool(X1,esk125_2(X1,X2)))|hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_803]), ['final']). 0.56/0.83 cnf(c_0_2094, plain, (hBOOL(hAPP_f1935102916l_bool(X1,esk37_2(X1,X2)))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_911]), ['final']). 0.56/0.83 cnf(c_0_2095, plain, (X2=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),esk113_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1290]), ['final']). 0.56/0.83 cnf(c_0_2096, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk95_3(X1,X2,X3)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1199]), ['final']). 0.56/0.83 cnf(c_0_2097, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk101_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1175]), ['final']). 0.56/0.83 cnf(c_0_2098, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk23_3(X1,X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1123]), ['final']). 0.56/0.83 cnf(c_0_2099, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk14_3(X1,X2,X3)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1124]), ['final']). 0.56/0.83 cnf(c_0_2100, plain, (X2=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),esk93_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1291]), ['final']). 0.56/0.83 cnf(c_0_2101, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk105_2(X1,X2)))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_910]), ['final']). 0.56/0.83 cnf(c_0_2102, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk125_2(X1,X2)))|hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_803]), ['final']). 0.56/0.83 cnf(c_0_2103, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk37_2(X1,X2)))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_911]), ['final']). 0.56/0.83 cnf(c_0_2104, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk98_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1204]), ['final']). 0.56/0.83 cnf(c_0_2105, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),X1))=bot_bo1649642514l_bool), inference(split_conjunct,[status(thm)],[c_0_777]), ['final']). 0.56/0.83 cnf(c_0_2106, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk78_3(X1,X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1129]), ['final']). 0.56/0.83 cnf(c_0_2107, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk59_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1176]), ['final']). 0.56/0.83 cnf(c_0_2108, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk58_3(X1,X2,X3)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1130]), ['final']). 0.56/0.83 cnf(c_0_2109, plain, (hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(rw,[status(thm)],[c_0_1292, c_0_1049]), ['final']). 0.56/0.83 cnf(c_0_2110, plain, (hBOOL(hAPP_pname_bool(X1,X2))|bot_bo844097828e_bool=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_781]), ['final']). 0.56/0.83 cnf(c_0_2111, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk1_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1205]), ['final']). 0.56/0.83 cnf(c_0_2112, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk22_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1210]), ['final']). 0.56/0.83 cnf(c_0_2113, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk123_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1211]), ['final']). 0.56/0.83 cnf(c_0_2114, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk70_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1273]), ['final']). 0.56/0.83 cnf(c_0_2115, plain, (hAPP_nat_nat(suc,esk72_2(X1,X2))=X2|X2=hAPP_nat_nat(suc,X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1247]), ['final']). 0.56/0.83 cnf(c_0_2116, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk110_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_1293]), ['final']). 0.56/0.83 cnf(c_0_2117, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X1),X2))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))), inference(split_conjunct,[status(thm)],[c_0_1294]), ['final']). 0.56/0.83 cnf(c_0_2118, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))), inference(split_conjunct,[status(thm)],[c_0_1217]), ['final']). 0.56/0.83 cnf(c_0_2119, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))), inference(split_conjunct,[status(thm)],[c_0_1216]), ['final']). 0.56/0.83 cnf(c_0_2120, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X2),X1))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))), inference(split_conjunct,[status(thm)],[c_0_1294]), ['final']). 0.56/0.83 cnf(c_0_2121, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1295]), ['final']). 0.56/0.83 cnf(c_0_2122, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))), inference(split_conjunct,[status(thm)],[c_0_1296]), ['final']). 0.56/0.83 cnf(c_0_2123, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X2),X1))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))), inference(split_conjunct,[status(thm)],[c_0_1296]), ['final']). 0.56/0.83 cnf(c_0_2124, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))), inference(split_conjunct,[status(thm)],[c_0_1297]), ['final']). 0.56/0.83 cnf(c_0_2125, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X2),X1))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))), inference(split_conjunct,[status(thm)],[c_0_1297]), ['final']). 0.56/0.83 cnf(c_0_2126, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk11_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1298]), ['final']). 0.56/0.83 cnf(c_0_2127, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk104_2(X1,X2)),esk105_2(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_910]), ['final']). 0.56/0.83 cnf(c_0_2128, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk124_2(X1,X2)),esk125_2(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_803]), ['final']). 0.56/0.83 cnf(c_0_2129, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk36_2(X1,X2)),esk37_2(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_911]), ['final']). 0.56/0.83 cnf(c_0_2130, plain, (image_a_pname(X1,esk84_3(X2,X1,X3))=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_a_pname(X1,X3)))|~is_fun_pname_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_1299]), ['final']). 0.56/0.83 cnf(c_0_2131, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1300]), ['final']). 0.56/0.83 cnf(c_0_2132, plain, (is_pname(esk46_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|~hBOOL(wt(X2))), inference(rw,[status(thm)],[c_0_1301, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2133, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(rw,[status(thm)],[c_0_1302, c_0_1049]), ['final']). 0.56/0.83 cnf(c_0_2134, plain, (X1=hAPP_nat_pname(X2,esk47_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_nat_pname(X2,X3)))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1202]), ['final']). 0.56/0.83 cnf(c_0_2135, plain, (X1=hAPP_nat_a(X2,esk54_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_nat_a(X2,X3)))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1235]), ['final']). 0.56/0.83 cnf(c_0_2136, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),hAPP_nat_nat(suc,X1)))), inference(split_conjunct,[status(thm)],[c_0_1303]), ['final']). 0.56/0.83 cnf(c_0_2137, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,esk92_3(X1,X2,X3)))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))), inference(split_conjunct,[status(thm)],[c_0_945]), ['final']). 0.56/0.83 cnf(c_0_2138, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk92_3(X1,X2,X3)))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))), inference(split_conjunct,[status(thm)],[c_0_945]), ['final']). 0.56/0.83 cnf(c_0_2139, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),esk103_1(X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1304]), ['final']). 0.56/0.83 cnf(c_0_2140, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),esk122_1(X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1305]), ['final']). 0.56/0.83 cnf(c_0_2141, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2)))))), inference(rw,[status(thm)],[c_0_1306, c_0_882]), ['final']). 0.56/0.83 cnf(c_0_2142, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2)))))), inference(rw,[status(thm)],[c_0_1307, c_0_867]), ['final']). 0.56/0.83 cnf(c_0_2143, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))), inference(rw,[status(thm)],[c_0_1308, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_2144, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))), inference(split_conjunct,[status(thm)],[c_0_1161]), ['final']). 0.56/0.83 cnf(c_0_2145, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk70_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1273]), ['final']). 0.56/0.83 cnf(c_0_2146, plain, (is_fun_a_bool(esk92_3(X1,X2,X3))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))), inference(split_conjunct,[status(thm)],[c_0_945]), ['final']). 0.56/0.83 cnf(c_0_2147, plain, (is_a(esk91_3(X1,X2,X3))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))), inference(split_conjunct,[status(thm)],[c_0_945]), ['final']). 0.56/0.83 cnf(c_0_2148, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk44_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1212]), ['final']). 0.56/0.83 cnf(c_0_2149, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))), inference(split_conjunct,[status(thm)],[c_0_1164]), ['final']). 0.56/0.83 cnf(c_0_2150, plain, (X1=X2|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))), inference(split_conjunct,[status(thm)],[c_0_1309]), ['final']). 0.56/0.83 cnf(c_0_2151, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,X2)))), inference(split_conjunct,[status(thm)],[c_0_1310]), ['final']). 0.56/0.83 cnf(c_0_2152, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk114_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1220]), ['final']). 0.56/0.83 cnf(c_0_2153, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X3,X1)),image_nat_a(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1311]), ['final']). 0.56/0.83 cnf(c_0_2154, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))|~hBOOL(X1)|~hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1286]), ['final']). 0.56/0.83 cnf(c_0_2155, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1312]), ['final']). 0.56/0.83 cnf(c_0_2156, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk87_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1190]), ['final']). 0.56/0.83 cnf(c_0_2157, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk13_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1147]), ['final']). 0.56/0.83 cnf(c_0_2158, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk71_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1148]), ['final']). 0.56/0.83 cnf(c_0_2159, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk18_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1194]), ['final']). 0.56/0.83 cnf(c_0_2160, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))|~hBOOL(X1)|~hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1287]), ['final']). 0.56/0.83 cnf(c_0_2161, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk84_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1299]), ['final']). 0.56/0.83 cnf(c_0_2162, plain, (X1=image_nat_a(X2,esk2_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_nat_a(X2,X3)))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1248]), ['final']). 0.56/0.83 cnf(c_0_2163, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|bot_bo1389914601l_bool=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_786]), ['final']). 0.56/0.83 cnf(c_0_2164, plain, (X1=hAPP_nat_nat(minus_minus_nat(X2),hAPP_nat_nat(minus_minus_nat(X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1313]), ['final']). 0.56/0.83 cnf(c_0_2165, plain, (X2=hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1314]), ['final']). 0.56/0.83 cnf(c_0_2166, plain, (X3=X1|hAPP_nat_nat(minus_minus_nat(X1),X2)!=hAPP_nat_nat(minus_minus_nat(X3),X2)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1315]), ['final']). 0.56/0.83 cnf(c_0_2167, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X2)),X1))=bot_bo1649642514l_bool), inference(split_conjunct,[status(thm)],[c_0_789]), ['final']). 0.56/0.83 cnf(c_0_2168, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk111_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_a_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1316]), ['final']). 0.56/0.83 cnf(c_0_2169, plain, (image_pname_a(cOMBK_a_pname(X1),X2)=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))), inference(rw,[status(thm)],[c_0_1317, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2170, plain, (hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=hAPP_fun_a_bool_nat(finite_card_a,X2)|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(rw,[status(thm)],[c_0_1318, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2171, plain, (hBOOL(hAPP_pname_bool(X1,X2))|bot_bo844097828e_bool=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_791]), ['final']). 0.56/0.83 cnf(c_0_2172, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X1),X2))=X1), inference(split_conjunct,[status(thm)],[c_0_1319]), ['final']). 0.56/0.83 cnf(c_0_2173, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1320]), ['final']). 0.56/0.83 cnf(c_0_2174, plain, (is_fun949378684l_bool(esk16_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1167]), ['final']). 0.56/0.83 cnf(c_0_2175, plain, (is_fun_a_bool(esk109_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1243]), ['final']). 0.56/0.83 cnf(c_0_2176, plain, (is_fun1661590463l_bool(esk60_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1174]), ['final']). 0.56/0.83 cnf(c_0_2177, plain, (is_fun_pname_bool(esk59_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1176]), ['final']). 0.56/0.83 cnf(c_0_2178, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1321]), ['final']). 0.56/0.83 cnf(c_0_2179, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1322]), ['final']). 0.56/0.83 cnf(c_0_2180, plain, (image_a_nat(X1,esk96_3(X2,X1,X3))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_a_nat(X1,X3)))), inference(split_conjunct,[status(thm)],[c_0_1323]), ['final']). 0.56/0.83 cnf(c_0_2181, plain, (X1=hAPP_a_nat(X2,esk111_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_a_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1316]), ['final']). 0.56/0.83 cnf(c_0_2182, plain, (X1=hAPP_pname_nat(X2,esk89_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_pname_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1240]), ['final']). 0.56/0.83 cnf(c_0_2183, plain, (is_pname(esk115_3(X1,X2,X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1225]), ['final']). 0.56/0.83 cnf(c_0_2184, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk39_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1271]), ['final']). 0.56/0.83 cnf(c_0_2185, plain, (X1=image_pname_a(X2,esk44_3(X2,X3,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1212]), ['final']). 0.56/0.83 cnf(c_0_2186, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk76_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1171]), ['final']). 0.56/0.83 cnf(c_0_2187, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk65_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1170]), ['final']). 0.56/0.83 cnf(c_0_2188, plain, (is_pname(esk77_3(X1,X2,X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1226]), ['final']). 0.56/0.83 cnf(c_0_2189, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|X2=X1|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))), inference(split_conjunct,[status(thm)],[c_0_1324]), ['final']). 0.56/0.83 cnf(c_0_2190, plain, (is_a(esk116_3(X1,X2,X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1272]), ['final']). 0.56/0.83 cnf(c_0_2191, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk61_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1245]), ['final']). 0.56/0.83 cnf(c_0_2192, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk43_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1172]), ['final']). 0.56/0.83 cnf(c_0_2193, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk30_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1173]), ['final']). 0.56/0.83 cnf(c_0_2194, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1325, c_0_733]), c_0_733]), c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2195, plain, (is_a(esk86_3(X1,X2,X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1268]), ['final']). 0.56/0.83 cnf(c_0_2196, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk121_2(X1,X2)),X1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1305]), ['final']). 0.56/0.83 cnf(c_0_2197, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X2),X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1326, c_0_737]), c_0_737]), c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2198, plain, (X1=X2|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|~is_a(X2)|~is_a(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))), inference(rw,[status(thm)],[c_0_1327, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2199, plain, (is_fun949378684l_bool(esk98_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1204]), ['final']). 0.56/0.83 cnf(c_0_2200, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk102_2(X1,X2)),X1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1304]), ['final']). 0.56/0.83 cnf(c_0_2201, plain, (X2=X1|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1328]), ['final']). 0.56/0.83 cnf(c_0_2202, plain, (hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(X1,esk66_3(X1,X2,X3)))|~hBOOL(hAPP_nat_bool(X1,X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1144]), ['final']). 0.56/0.83 cnf(c_0_2203, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(X1,esk7_3(X2,X1,X3)))|~hBOOL(hAPP_nat_bool(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_1146]), ['final']). 0.56/0.83 cnf(c_0_2204, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2))), inference(rw,[status(thm)],[c_0_1329, c_0_1049]), ['final']). 0.56/0.83 cnf(c_0_2205, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk53_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))), inference(split_conjunct,[status(thm)],[c_0_1330]), ['final']). 0.56/0.83 cnf(c_0_2206, plain, (is_fun_a_bool(esk39_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1271]), ['final']). 0.56/0.83 cnf(c_0_2207, plain, (is_fun1661590463l_bool(esk22_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1210]), ['final']). 0.56/0.83 cnf(c_0_2208, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X3,X1))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X3,X2))))=image_pname_a(X3,X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(rw,[status(thm)],[c_0_1331, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2209, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X2)),X1))=bot_bo1389914601l_bool), inference(split_conjunct,[status(thm)],[c_0_794]), ['final']). 0.56/0.83 cnf(c_0_2210, plain, (is_fun_a_bool(esk112_3(X1,X2,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1198]), ['final']). 0.56/0.83 cnf(c_0_2211, plain, (is_fun_a_bool(esk95_3(X1,X2,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1199]), ['final']). 0.56/0.83 cnf(c_0_2212, plain, (is_fun_pname_bool(esk78_3(X1,X2,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1129]), ['final']). 0.56/0.83 cnf(c_0_2213, plain, (is_fun_pname_bool(esk58_3(X1,X2,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1130]), ['final']). 0.56/0.83 cnf(c_0_2214, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1332]), ['final']). 0.56/0.83 cnf(c_0_2215, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk120_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1261]), ['final']). 0.56/0.83 cnf(c_0_2216, plain, (bot_bo1701429464l_bool=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2)),X1)|hBOOL(hAPP_f54304608l_bool(X1,X2))), inference(rw,[status(thm)],[c_0_1333, c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2217, plain, (is_fun949378684l_bool(esk105_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_910]), ['final']). 0.56/0.83 cnf(c_0_2218, plain, (is_fun_a_bool(esk104_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_910]), ['final']). 0.56/0.83 cnf(c_0_2219, plain, (is_fun1661590463l_bool(esk37_2(X1,X2))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_911]), ['final']). 0.56/0.83 cnf(c_0_2220, plain, (is_fun_pname_bool(esk36_2(X1,X2))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))), inference(split_conjunct,[status(thm)],[c_0_911]), ['final']). 0.56/0.83 cnf(c_0_2221, plain, (bot_bot_fun_nat_bool=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X2)),X1)|hBOOL(hAPP_nat_bool(X1,X2))), inference(rw,[status(thm)],[c_0_1334, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2222, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X3,X1)),image_nat_a(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1335]), ['final']). 0.56/0.83 cnf(c_0_2223, plain, (X1=X3|hBOOL(hAPP_a_bool(X2,X3))|~is_a(X3)|~is_a(X1)|~hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))),X3))), inference(rw,[status(thm)],[c_0_1336, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2224, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))), inference(split_conjunct,[status(thm)],[c_0_1337]), ['final']). 0.56/0.83 cnf(c_0_2225, plain, (is_fun949378684l_bool(esk6_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1187]), ['final']). 0.56/0.83 cnf(c_0_2226, plain, (hAPP_pname_a(X1,esk69_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X1,X3)))|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_1250]), ['final']). 0.56/0.83 cnf(c_0_2227, plain, (X1=hAPP_pname_a(X2,esk79_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1249]), ['final']). 0.56/0.83 cnf(c_0_2228, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk96_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1323]), ['final']). 0.56/0.83 cnf(c_0_2229, plain, (is_fun_pname_bool(esk44_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1212]), ['final']). 0.56/0.83 cnf(c_0_2230, plain, (is_fun_a_bool(esk70_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1273]), ['final']). 0.56/0.83 cnf(c_0_2231, plain, (is_fun1661590463l_bool(esk45_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1189]), ['final']). 0.56/0.83 cnf(c_0_2232, plain, (is_fun_pname_bool(esk18_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3))), inference(split_conjunct,[status(thm)],[c_0_1194]), ['final']). 0.56/0.83 cnf(c_0_2233, plain, (hAPP_nat_nat(plus_plus_nat(X1),esk63_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1338]), ['final']). 0.56/0.83 cnf(c_0_2234, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1339, c_0_733]), c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2235, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X2),X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1340, c_0_733]), c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2236, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1341, c_0_737]), c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2237, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X2),X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1342, c_0_737]), c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2238, plain, (hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),X1))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1343]), ['final']). 0.56/0.83 cnf(c_0_2239, plain, (hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1344]), ['final']). 0.56/0.83 cnf(c_0_2240, plain, (hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1345]), ['final']). 0.56/0.83 cnf(c_0_2241, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1346]), ['final']). 0.56/0.83 cnf(c_0_2242, plain, (is_fun_a_bool(esk114_3(X1,X2,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1220]), ['final']). 0.56/0.83 cnf(c_0_2243, plain, (is_fun_pname_bool(esk71_3(X1,X2,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3))), inference(split_conjunct,[status(thm)],[c_0_1148]), ['final']). 0.56/0.83 cnf(c_0_2244, plain, (X1=hAPP_nat_nat(suc,esk110_2(X2,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_1293]), ['final']). 0.56/0.83 cnf(c_0_2245, plain, (hAPP_nat_nat(suc,esk82_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(rw,[status(thm)],[c_0_1347, c_0_1049]), ['final']). 0.56/0.83 cnf(c_0_2246, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X1,esk85_3(X1,X2,X3))),X2))), inference(split_conjunct,[status(thm)],[c_0_1267]), ['final']). 0.56/0.83 cnf(c_0_2247, plain, (is_fun_a_bool(esk41_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1103]), ['final']). 0.56/0.83 cnf(c_0_2248, plain, (is_fun_a_bool(esk24_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1102]), ['final']). 0.56/0.83 cnf(c_0_2249, plain, (is_pname(esk75_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1111]), ['final']). 0.56/0.83 cnf(c_0_2250, plain, (is_pname(esk74_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1119]), ['final']). 0.56/0.83 cnf(c_0_2251, plain, (is_pname(esk73_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1112]), ['final']). 0.56/0.83 cnf(c_0_2252, plain, (is_pname(esk28_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1118]), ['final']). 0.56/0.83 cnf(c_0_2253, plain, (is_pname(esk17_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1120]), ['final']). 0.56/0.83 cnf(c_0_2254, plain, (is_fun_pname_bool(esk134_2(X1,X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1110]), ['final']). 0.56/0.83 cnf(c_0_2255, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk94_1(X1)),X1))|bot_bo844097828e_bool=X1|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1348]), ['final']). 0.56/0.83 cnf(c_0_2256, plain, (is_fun_pname_bool(esk127_2(X1,X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1109]), ['final']). 0.56/0.83 cnf(c_0_2257, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))), inference(split_conjunct,[status(thm)],[c_0_1349]), ['final']). 0.56/0.83 cnf(c_0_2258, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk99_1(X1)),X1))|X1=bot_bo844097828e_bool|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1350]), ['final']). 0.56/0.83 cnf(c_0_2259, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk39_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3)), inference(split_conjunct,[status(thm)],[c_0_1271]), ['final']). 0.56/0.83 cnf(c_0_2260, plain, (hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))),X2))|~is_a(X3)|~is_a(X2)|~hBOOL(hAPP_a_bool(X1,X2))), inference(rw,[status(thm)],[c_0_1351, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2261, plain, (image_pname_a(cOMBK_a_pname(X1),X2)=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|X2=bot_bo844097828e_bool|~is_fun_pname_bool(X2)), inference(rw,[status(thm)],[c_0_1352, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2262, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))), inference(split_conjunct,[status(thm)],[c_0_1353]), ['final']). 0.56/0.83 cnf(c_0_2263, plain, (is_fun_a_bool(esk84_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1299]), ['final']). 0.56/0.83 cnf(c_0_2264, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),image_nat_fun_a_bool(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1354]), ['final']). 0.56/0.83 cnf(c_0_2265, plain, (X1=image_pname_a(X2,esk129_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1266]), ['final']). 0.56/0.83 cnf(c_0_2266, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk11_2(X1,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_1298]), ['final']). 0.56/0.83 cnf(c_0_2267, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X1,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_1300]), ['final']). 0.56/0.83 cnf(c_0_2268, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))), inference(split_conjunct,[status(thm)],[c_0_1355]), ['final']). 0.56/0.83 cnf(c_0_2269, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),image_112932426a_bool(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1356]), ['final']). 0.56/0.83 cnf(c_0_2270, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),image_26036933t_bool(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1357]), ['final']). 0.56/0.83 cnf(c_0_2271, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),image_2129980159t_bool(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1358]), ['final']). 0.56/0.83 cnf(c_0_2272, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),image_1655916159e_bool(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1359]), ['final']). 0.56/0.83 cnf(c_0_2273, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),image_47868345e_bool(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1360]), ['final']). 0.56/0.83 cnf(c_0_2274, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_fun_a_bool_nat(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1361]), ['final']). 0.56/0.83 cnf(c_0_2275, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_496248727ol_nat(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1362]), ['final']). 0.56/0.83 cnf(c_0_2276, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_1551609309ol_nat(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1363]), ['final']). 0.56/0.83 cnf(c_0_2277, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),X2))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_a_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1364, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2278, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_nat_nat(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1365]), ['final']). 0.56/0.83 cnf(c_0_2279, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_pname_nat(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1366]), ['final']). 0.56/0.83 cnf(c_0_2280, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_1854862208_pname(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1367]), ['final']). 0.56/0.83 cnf(c_0_2281, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_1921560913_pname(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1368]), ['final']). 0.56/0.83 cnf(c_0_2282, plain, (is_pname(esk79_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1249]), ['final']). 0.56/0.83 cnf(c_0_2283, plain, (is_pname(esk69_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1250]), ['final']). 0.56/0.83 cnf(c_0_2284, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X1)),X2))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_a_bool(X2,X1))), inference(rw,[status(thm)],[c_0_1369, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2285, plain, (X1=collect_a(hAPP_a_fun_a_bool(fequal_a,X2))|X1=bot_bot_fun_a_bool|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X2))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1370, c_0_1039]), c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2286, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_1283814551_pname(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1371]), ['final']). 0.56/0.83 cnf(c_0_2287, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_nat_pname(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1372]), ['final']). 0.56/0.83 cnf(c_0_2288, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_pname_pname(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1373]), ['final']). 0.56/0.83 cnf(c_0_2289, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))), inference(split_conjunct,[status(thm)],[c_0_1374]), ['final']). 0.56/0.83 cnf(c_0_2290, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_a_nat(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1375]), ['final']). 0.56/0.83 cnf(c_0_2291, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_a_pname(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1376]), ['final']). 0.56/0.83 cnf(c_0_2292, plain, (is_a(esk76_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1171]), ['final']). 0.56/0.83 cnf(c_0_2293, plain, (is_a(esk65_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1170]), ['final']). 0.56/0.83 cnf(c_0_2294, plain, (is_a(esk61_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1245]), ['final']). 0.56/0.83 cnf(c_0_2295, plain, (is_a(esk43_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1172]), ['final']). 0.56/0.83 cnf(c_0_2296, plain, (is_a(esk30_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1173]), ['final']). 0.56/0.83 cnf(c_0_2297, plain, (hBOOL(X2)|~hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1377]), ['final']). 0.56/0.83 cnf(c_0_2298, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X3,X1)),image_pname_a(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1378]), ['final']). 0.56/0.83 cnf(c_0_2299, plain, (is_pname(esk25_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1117]), ['final']). 0.56/0.83 cnf(c_0_2300, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(rw,[status(thm)],[c_0_1379, c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2301, plain, (is_fun_pname_bool(esk129_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1266]), ['final']). 0.56/0.83 cnf(c_0_2302, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1380, c_0_847]), c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2303, plain, (is_a(esk120_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_1261]), ['final']). 0.56/0.83 cnf(c_0_2304, plain, (is_pname(esk48_3(X1,X2,X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X3)),X2))), inference(split_conjunct,[status(thm)],[c_0_1275]), ['final']). 0.56/0.83 cnf(c_0_2305, plain, (X2=X1|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))|~is_fun_a_bool(X2)|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1381]), ['final']). 0.56/0.83 cnf(c_0_2306, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,esk48_3(X1,X2,X3))),X2))), inference(split_conjunct,[status(thm)],[c_0_1275]), ['final']). 0.56/0.83 cnf(c_0_2307, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_1252]), ['final']). 0.56/0.83 cnf(c_0_2308, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X2),X1))))), inference(split_conjunct,[status(thm)],[c_0_1252]), ['final']). 0.56/0.83 cnf(c_0_2309, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_1253]), ['final']). 0.56/0.83 cnf(c_0_2310, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X2),X1))))), inference(split_conjunct,[status(thm)],[c_0_1253]), ['final']). 0.56/0.83 cnf(c_0_2311, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1382]), ['final']). 0.56/0.83 cnf(c_0_2312, plain, (X1=X2|collect_a(hAPP_a_fun_a_bool(fequal_a,X1))!=collect_a(hAPP_a_fun_a_bool(fequal_a,X2))|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1383, c_0_1039]), c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2313, plain, (is_pname(esk57_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1300]), ['final']). 0.56/0.83 cnf(c_0_2314, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_1254]), ['final']). 0.56/0.83 cnf(c_0_2315, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X2),X1))))), inference(split_conjunct,[status(thm)],[c_0_1254]), ['final']). 0.56/0.83 cnf(c_0_2316, plain, (X2=X1|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1384]), ['final']). 0.56/0.83 cnf(c_0_2317, plain, (is_fun_a_bool(esk96_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1323]), ['final']). 0.56/0.83 cnf(c_0_2318, plain, (is_pname(esk32_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1264]), ['final']). 0.56/0.83 cnf(c_0_2319, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(rw,[status(thm)],[c_0_1385, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2320, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk15_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1386]), ['final']). 0.56/0.83 cnf(c_0_2321, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X3,X1)),image_pname_a(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1387]), ['final']). 0.56/0.83 cnf(c_0_2322, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk118_1(X1)),X1))|bot_bot_fun_nat_bool=X1), inference(split_conjunct,[status(thm)],[c_0_1388]), ['final']). 0.56/0.83 cnf(c_0_2323, plain, (is_pname(esk89_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_pname_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1240]), ['final']). 0.56/0.83 cnf(c_0_2324, plain, (is_a(esk111_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_a_nat(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_1316]), ['final']). 0.56/0.83 cnf(c_0_2325, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk52_1(X1)),X1))), inference(split_conjunct,[status(thm)],[c_0_1389]), ['final']). 0.56/0.83 cnf(c_0_2326, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))), inference(rw,[status(thm)],[c_0_1390, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2327, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(rw,[status(thm)],[c_0_1391, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2328, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1392]), ['final']). 0.56/0.83 cnf(c_0_2329, plain, (X1=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X2))))|~is_a(X2)|~is_a(X1)), inference(rw,[status(thm)],[c_0_1393, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2330, plain, (hBOOL(X1)|hBOOL(X2)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1394]), ['final']). 0.56/0.83 cnf(c_0_2331, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk133_1(X1)),X1))|X1=bot_bot_fun_a_bool|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1395]), ['final']). 0.56/0.83 cnf(c_0_2332, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk62_1(X1)),X1))|X1=bot_bot_fun_a_bool|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1396]), ['final']). 0.56/0.83 cnf(c_0_2333, plain, (X2=X1|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1397]), ['final']). 0.56/0.83 cnf(c_0_2334, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1))|~hBOOL(hAPP_nat_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1398]), ['final']). 0.56/0.83 cnf(c_0_2335, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X2,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1399]), ['final']). 0.56/0.83 cnf(c_0_2336, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1400]), ['final']). 0.56/0.83 cnf(c_0_2337, plain, (one_one_nat=X1|X2=one_one_nat|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1401, c_0_1402]), c_0_1402]), c_0_1402]), ['final']). 0.56/0.83 cnf(c_0_2338, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X2,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1403]), ['final']). 0.56/0.83 cnf(c_0_2339, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1404]), ['final']). 0.56/0.83 cnf(c_0_2340, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1405]), ['final']). 0.56/0.83 cnf(c_0_2341, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X2,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1406]), ['final']). 0.56/0.83 cnf(c_0_2342, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X2,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1407]), ['final']). 0.56/0.83 cnf(c_0_2343, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X2,X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1408]), ['final']). 0.56/0.83 cnf(c_0_2344, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2,X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1409]), ['final']). 0.56/0.83 cnf(c_0_2345, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X2,X1)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1410]), ['final']). 0.56/0.83 cnf(c_0_2346, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X2,X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1411]), ['final']). 0.56/0.83 cnf(c_0_2347, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2,X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1412]), ['final']). 0.56/0.83 cnf(c_0_2348, plain, (hBOOL(hAPP_a_bool(X1,X2))|bot_bot_fun_a_bool=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_813]), ['final']). 0.56/0.83 cnf(c_0_2349, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1332]), ['final']). 0.56/0.83 cnf(c_0_2350, plain, (one_one_nat=X1|zero_zero_nat=X1|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1413, c_0_1402]), c_0_1402]), ['final']). 0.56/0.83 cnf(c_0_2351, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),X1))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_1414]), ['final']). 0.56/0.83 cnf(c_0_2352, plain, (hBOOL(hAPP_a_bool(X1,X2))|bot_bot_fun_a_bool=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_814]), ['final']). 0.56/0.83 cnf(c_0_2353, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1)), inference(split_conjunct,[status(thm)],[c_0_1415]), ['final']). 0.56/0.83 cnf(c_0_2354, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1416]), ['final']). 0.56/0.83 cnf(c_0_2355, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1417]), ['final']). 0.56/0.83 cnf(c_0_2356, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))|~hBOOL(X1)|~hBOOL(X2)), inference(split_conjunct,[status(thm)],[c_0_1394]), ['final']). 0.56/0.83 cnf(c_0_2357, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1418]), ['final']). 0.56/0.83 cnf(c_0_2358, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1419]), ['final']). 0.56/0.83 cnf(c_0_2359, plain, (one_one_nat=X1|X1=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X2),X1)!=one_one_nat), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1420, c_0_1402]), c_0_1402]), ['final']). 0.56/0.83 cnf(c_0_2360, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X2,X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_1421]), ['final']). 0.56/0.83 cnf(c_0_2361, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X2,X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(split_conjunct,[status(thm)],[c_0_1422]), ['final']). 0.56/0.83 cnf(c_0_2362, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1423]), ['final']). 0.56/0.83 cnf(c_0_2363, plain, (zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X1),X2)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1424]), ['final']). 0.56/0.83 cnf(c_0_2364, plain, (X1=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))), inference(rw,[status(thm)],[c_0_1425, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2365, plain, (hBOOL(wt(the_com(body(X1))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),u))), inference(split_conjunct,[status(thm)],[c_0_1426]), ['final']). 0.56/0.83 cnf(c_0_2366, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk102_2(X1,X2)),X2))), inference(split_conjunct,[status(thm)],[c_0_1304]), ['final']). 0.56/0.83 cnf(c_0_2367, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk121_2(X1,X2)),X2))), inference(split_conjunct,[status(thm)],[c_0_1305]), ['final']). 0.56/0.83 cnf(c_0_2368, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk53_2(X1,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_1330]), ['final']). 0.56/0.83 cnf(c_0_2369, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1427, c_0_733]), c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2370, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X2),X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1428, c_0_733]), c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2371, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X1),X2)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1429, c_0_737]), c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2372, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X2),X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1430, c_0_737]), c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2373, hypothesis, (is_fun_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))|~is_a(X2)|~is_fun_a_bool(X1)), inference(rw,[status(thm)],[c_0_1431, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2374, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_fun_a_bool_a(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1432]), ['final']). 0.56/0.83 cnf(c_0_2375, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_fun_nat_bool_a(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1433]), ['final']). 0.56/0.83 cnf(c_0_2376, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_876012084bool_a(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1434]), ['final']). 0.56/0.83 cnf(c_0_2377, plain, (X2=X1|~is_fun_a_bool(X1)|~is_fun_a_bool(X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1435]), ['final']). 0.56/0.83 cnf(c_0_2378, plain, (X2=X1|~is_fun_pname_bool(X1)|~is_fun_pname_bool(X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1436]), ['final']). 0.56/0.83 cnf(c_0_2379, plain, (X1=X2|zero_zero_nat!=hAPP_nat_nat(minus_minus_nat(X1),X2)|zero_zero_nat!=hAPP_nat_nat(minus_minus_nat(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_1437]), ['final']). 0.56/0.83 cnf(c_0_2380, plain, (hBOOL(X1)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1438]), ['final']). 0.56/0.83 cnf(c_0_2381, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_nat_a(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1439]), ['final']). 0.56/0.83 cnf(c_0_2382, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X2)))), inference(split_conjunct,[status(thm)],[c_0_1440]), ['final']). 0.56/0.83 cnf(c_0_2383, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|zero_zero_nat!=hAPP_nat_nat(minus_minus_nat(X1),X2)), inference(split_conjunct,[status(thm)],[c_0_1424]), ['final']). 0.56/0.83 cnf(c_0_2384, plain, (zero_zero_nat=X1|X2=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat), inference(rw,[status(thm)],[c_0_1441, c_0_1402]), ['final']). 0.56/0.83 cnf(c_0_2385, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X1))), inference(split_conjunct,[status(thm)],[c_0_1442]), ['final']). 0.56/0.83 cnf(c_0_2386, plain, (is_a(esk15_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1386]), ['final']). 0.56/0.83 cnf(c_0_2387, plain, (is_a(esk4_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1276]), ['final']). 0.56/0.83 cnf(c_0_2388, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))|~hBOOL(X2)), inference(split_conjunct,[status(thm)],[c_0_1443]), ['final']). 0.56/0.83 cnf(c_0_2389, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1303]), ['final']). 0.56/0.83 cnf(c_0_2390, plain, (hBOOL(hAPP_f1664156314l_bool(X1,esk126_1(X1)))|collec1974731493e_bool(X1)=bot_bo1649642514l_bool), inference(split_conjunct,[status(thm)],[c_0_1444]), ['final']). 0.56/0.83 cnf(c_0_2391, plain, (hBOOL(hAPP_f1664156314l_bool(X1,esk108_1(X1)))|bot_bo1649642514l_bool=collec1974731493e_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1445]), ['final']). 0.56/0.83 cnf(c_0_2392, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X2,X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))), inference(split_conjunct,[status(thm)],[c_0_1446]), ['final']). 0.56/0.83 cnf(c_0_2393, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))), inference(split_conjunct,[status(thm)],[c_0_1447]), ['final']). 0.56/0.83 cnf(c_0_2394, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X2),X1))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))), inference(split_conjunct,[status(thm)],[c_0_1447]), ['final']). 0.56/0.83 cnf(c_0_2395, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(rw,[status(thm)],[c_0_1448, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2396, plain, (hBOOL(hAPP_pname_bool(X1,esk88_1(X1)))|bot_bo844097828e_bool=collect_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1449]), ['final']). 0.56/0.83 cnf(c_0_2397, plain, (X1=X2|~is_pname(X1)|~is_pname(X2)|~hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1450]), ['final']). 0.56/0.83 cnf(c_0_2398, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1))|~hBOOL(hAPP_pname_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1451]), ['final']). 0.56/0.83 cnf(c_0_2399, plain, (X3=X1|hAPP_nat_nat(plus_plus_nat(X1),X2)!=hAPP_nat_nat(plus_plus_nat(X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1452]), ['final']). 0.56/0.83 cnf(c_0_2400, plain, (X2=X3|hAPP_nat_nat(plus_plus_nat(X1),X2)!=hAPP_nat_nat(plus_plus_nat(X1),X3)), inference(split_conjunct,[status(thm)],[c_0_1453]), ['final']). 0.56/0.83 cnf(c_0_2401, plain, (hBOOL(hAPP_pname_bool(X1,esk49_1(X1)))|bot_bo844097828e_bool=collect_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1454]), ['final']). 0.56/0.83 cnf(c_0_2402, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_a_a(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1455]), ['final']). 0.56/0.83 cnf(c_0_2403, plain, (hBOOL(hAPP_pname_bool(X2,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1451]), ['final']). 0.56/0.83 cnf(c_0_2404, plain, (X2=X1|~is_a(X1)|~is_a(X2)|~hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1456]), ['final']). 0.56/0.83 cnf(c_0_2405, plain, (bot_bo1701429464l_bool=X1|hBOOL(hAPP_f54304608l_bool(X1,esk128_1(X1)))), inference(rw,[status(thm)],[c_0_1457, c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2406, plain, (hBOOL(hAPP_nat_bool(X2,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1398]), ['final']). 0.56/0.83 cnf(c_0_2407, plain, (is_bool(hAPP_a_bool(X1,X2))|~is_fun_a_bool(X1)|~is_a(X2)), inference(split_conjunct,[status(thm)],[c_0_1458]), ['final']). 0.56/0.83 cnf(c_0_2408, plain, (bot_bo1701429464l_bool=X1|hBOOL(hAPP_f54304608l_bool(X1,esk31_1(X1)))), inference(rw,[status(thm)],[c_0_1459, c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2409, plain, (hBOOL(hAPP_a_bool(X1,esk64_1(X1)))|collect_a(X1)=bot_bot_fun_a_bool), inference(split_conjunct,[status(thm)],[c_0_1460]), ['final']). 0.56/0.83 cnf(c_0_2410, plain, (hBOOL(hAPP_a_bool(X1,esk29_1(X1)))|collect_a(X1)=bot_bot_fun_a_bool), inference(split_conjunct,[status(thm)],[c_0_1461]), ['final']). 0.56/0.83 cnf(c_0_2411, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_pname_a(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_1462]), ['final']). 0.56/0.83 cnf(c_0_2412, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(X1,esk100_1(X1)))), inference(rw,[status(thm)],[c_0_1463, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2413, hypothesis, (is_bool(hAPP_f1664156314l_bool(X2,X1))|~is_fun_pname_bool(X1)|~is_fun1661590463l_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_1464]), ['final']). 0.56/0.83 cnf(c_0_2414, plain, (is_bool(hAPP_pname_bool(X1,X2))|~is_fun_pname_bool(X1)|~is_pname(X2)), inference(split_conjunct,[status(thm)],[c_0_1465]), ['final']). 0.56/0.83 cnf(c_0_2415, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(X1,esk5_1(X1)))), inference(rw,[status(thm)],[c_0_1466, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2416, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))), inference(rw,[status(thm)],[c_0_1467, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2417, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))),X2))), inference(rw,[status(thm)],[c_0_1468, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2418, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk15_2(X1,X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_1386]), ['final']). 0.56/0.83 cnf(c_0_2419, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,esk106_1(X1)))|bot_bo1389914601l_bool=collect_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1469]), ['final']). 0.56/0.83 cnf(c_0_2420, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,esk42_1(X1)))|bot_bo1389914601l_bool=collect_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1470]), ['final']). 0.56/0.83 cnf(c_0_2421, plain, (X1=X2|hAPP_nat_nat(suc,X1)!=hAPP_nat_nat(suc,X2)), inference(split_conjunct,[status(thm)],[c_0_1471]), ['final']). 0.56/0.83 cnf(c_0_2422, plain, (X1=bot_bo844097828e_bool|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1472]), ['final']). 0.56/0.83 cnf(c_0_2423, hypothesis, (is_bool(hAPP_fun_a_bool_bool(X2,X1))|~is_fun_a_bool(X1)|~is_fun949378684l_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_1473]), ['final']). 0.56/0.83 cnf(c_0_2424, plain, (is_fun949378684l_bool(image_112932426a_bool(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1474]), ['final']). 0.56/0.83 cnf(c_0_2425, plain, (is_fun949378684l_bool(cOMBB_2140588453a_bool(X2,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1475]), ['final']). 0.56/0.83 cnf(c_0_2426, plain, (is_fun949378684l_bool(image_a_fun_a_bool(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1476]), ['final']). 0.56/0.83 cnf(c_0_2427, plain, (is_fun949378684l_bool(hAPP_p1824510254l_bool(X2,X1))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1477]), ['final']). 0.56/0.83 cnf(c_0_2428, plain, (is_fun949378684l_bool(hAPP_f2117159681l_bool(X2,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1478]), ['final']). 0.56/0.83 cnf(c_0_2429, hypothesis, (is_fun949378684l_bool(hAPP_a85458249l_bool(X2,X1))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1479]), ['final']). 0.56/0.83 cnf(c_0_2430, plain, (hAPP_a_bool(cOMBK_bool_a(X1),X2)=X1|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1480]), ['final']). 0.56/0.83 cnf(c_0_2431, plain, (is_fun949378684l_bool(cOMBS_1035972772l_bool(X2,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1481]), ['final']). 0.56/0.83 cnf(c_0_2432, plain, (is_bool(hAPP_f621171935l_bool(X2,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1482]), ['final']). 0.56/0.83 cnf(c_0_2433, plain, (is_bool(hAPP_f1935102916l_bool(X2,X1))|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1483]), ['final']). 0.56/0.83 cnf(c_0_2434, plain, (is_bool(hAPP_bool_bool(X2,X1))|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1484]), ['final']). 0.56/0.83 cnf(c_0_2435, plain, (is_fun_a_bool(image_fun_a_bool_a(X2,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1485]), ['final']). 0.56/0.83 cnf(c_0_2436, plain, (is_fun_a_bool(image_a_a(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1486]), ['final']). 0.56/0.83 cnf(c_0_2437, plain, (is_fun_a_bool(hAPP_f1051908748a_bool(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1487]), ['final']). 0.56/0.83 cnf(c_0_2438, plain, (is_fun_a_bool(image_876012084bool_a(X2,X1))|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1488]), ['final']). 0.56/0.83 cnf(c_0_2439, plain, (X1=hAPP_f54304608l_bool(cOMBK_1994329625t_bool(X1),X2)|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1489]), ['final']). 0.56/0.83 cnf(c_0_2440, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))|~hBOOL(X1)), inference(split_conjunct,[status(thm)],[c_0_1490]), ['final']). 0.56/0.83 cnf(c_0_2441, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1))|~hBOOL(X1)), inference(split_conjunct,[status(thm)],[c_0_1491]), ['final']). 0.56/0.83 cnf(c_0_2442, plain, (is_fun_a_bool(cOMBB_bool_bool_a(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1492]), ['final']). 0.56/0.83 cnf(c_0_2443, plain, (is_fun_a_bool(hAPP_p1534023578a_bool(X2,X1))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1493]), ['final']). 0.56/0.83 cnf(c_0_2444, plain, (is_fun1661590463l_bool(image_819518260e_bool(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1494]), ['final']). 0.56/0.83 cnf(c_0_2445, plain, (is_fun1661590463l_bool(cOMBB_307249310e_bool(X2,X1))|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1495]), ['final']). 0.56/0.83 cnf(c_0_2446, plain, (X1=hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2)|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1496]), ['final']). 0.56/0.83 cnf(c_0_2447, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1497]), ['final']). 0.56/0.83 cnf(c_0_2448, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1498]), ['final']). 0.56/0.83 cnf(c_0_2449, plain, (is_fun1661590463l_bool(image_47868345e_bool(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1499]), ['final']). 0.56/0.83 cnf(c_0_2450, plain, (is_fun1661590463l_bool(cOMBS_350070575l_bool(X2,X1))|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1500]), ['final']). 0.56/0.83 cnf(c_0_2451, plain, (is_fun1661590463l_bool(hAPP_f559147733l_bool(X2,X1))|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1501]), ['final']). 0.56/0.83 cnf(c_0_2452, hypothesis, (is_fun1661590463l_bool(hAPP_p338031245l_bool(X2,X1))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1502]), ['final']). 0.56/0.83 cnf(c_0_2453, plain, (X1=hAPP_pname_bool(cOMBK_bool_pname(X1),X2)|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1503]), ['final']). 0.56/0.83 cnf(c_0_2454, plain, (X1=zero_zero_nat|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1504, c_0_1505]), c_0_1505]), ['final']). 0.56/0.83 cnf(c_0_2455, plain, (X1=bot_bot_fun_nat_bool|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),bot_bot_fun_nat_bool))), inference(split_conjunct,[status(thm)],[c_0_1506]), ['final']). 0.56/0.83 cnf(c_0_2456, plain, (is_fun1661590463l_bool(hAPP_a217006258l_bool(X2,X1))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1507]), ['final']). 0.56/0.83 cnf(c_0_2457, plain, (is_fun1661590463l_bool(hAPP_f434788991l_bool(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1508]), ['final']). 0.56/0.83 cnf(c_0_2458, plain, (is_pname(hAPP_f1128469712_pname(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1509]), ['final']). 0.56/0.83 cnf(c_0_2459, plain, (is_pname(hAPP_pname_pname(X2,X1))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1510]), ['final']). 0.56/0.83 cnf(c_0_2460, plain, (X1=hAPP_nat_bool(cOMBK_bool_nat(X1),X2)|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1511]), ['final']). 0.56/0.83 cnf(c_0_2461, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X2,X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))), inference(split_conjunct,[status(thm)],[c_0_1512]), ['final']). 0.56/0.83 cnf(c_0_2462, plain, (hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))|~hBOOL(X1)), inference(split_conjunct,[status(thm)],[c_0_1513]), ['final']). 0.56/0.83 cnf(c_0_2463, plain, (hBOOL(bot_bot_bool)|~hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),bot_bot_bool))), inference(split_conjunct,[status(thm)],[c_0_1514]), ['final']). 0.56/0.83 cnf(c_0_2464, plain, (is_pname(hAPP_a_pname(X2,X1))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1515]), ['final']). 0.56/0.83 cnf(c_0_2465, plain, (is_pname(hAPP_f1297739591_pname(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1516]), ['final']). 0.56/0.83 cnf(c_0_2466, plain, (is_a(hAPP_a_a(X2,X1))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1517]), ['final']). 0.56/0.83 cnf(c_0_2467, plain, (is_fun_pname_bool(hAPP_f1794073134e_bool(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1518]), ['final']). 0.56/0.83 cnf(c_0_2468, plain, (is_pname(esk94_1(X1))|bot_bo844097828e_bool=X1|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1348]), ['final']). 0.56/0.83 cnf(c_0_2469, plain, (hBOOL(X1)|~hBOOL(bot_bot_bool)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),bot_bot_bool))), inference(split_conjunct,[status(thm)],[c_0_1514]), ['final']). 0.56/0.83 cnf(c_0_2470, plain, (hBOOL(hAPP_a_bool(X2,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1519]), ['final']). 0.56/0.83 cnf(c_0_2471, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2))), inference(rw,[status(thm)],[c_0_1520, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2472, plain, (is_fun_pname_bool(image_pname_pname(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1521]), ['final']). 0.56/0.83 cnf(c_0_2473, plain, (is_fun_pname_bool(image_a_pname(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1522]), ['final']). 0.56/0.83 cnf(c_0_2474, plain, (is_fun_pname_bool(cOMBS_568398431l_bool(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1523]), ['final']). 0.56/0.83 cnf(c_0_2475, plain, (is_fun_pname_bool(cOMBB_647938656_pname(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1524]), ['final']). 0.56/0.83 cnf(c_0_2476, plain, (is_a(esk133_1(X1))|X1=bot_bot_fun_a_bool|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1395]), ['final']). 0.56/0.83 cnf(c_0_2477, plain, (hBOOL(X1)|hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1525]), ['final']). 0.56/0.83 cnf(c_0_2478, plain, (is_fun_pname_bool(image_1854862208_pname(X2,X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1526]), ['final']). 0.56/0.83 cnf(c_0_2479, plain, (is_fun_pname_bool(hAPP_f759274231e_bool(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1527]), ['final']). 0.56/0.83 cnf(c_0_2480, plain, (is_fun_pname_bool(image_1283814551_pname(X2,X1))|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1528]), ['final']). 0.56/0.83 cnf(c_0_2481, plain, (is_fun_pname_bool(hAPP_p61793385e_bool(X2,X1))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1529]), ['final']). 0.56/0.83 cnf(c_0_2482, plain, (X1=hAPP_pname_a(cOMBK_a_pname(X1),X2)|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1530]), ['final']). 0.56/0.83 cnf(c_0_2483, plain, (is_a(esk62_1(X1))|X1=bot_bot_fun_a_bool|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1396]), ['final']). 0.56/0.83 cnf(c_0_2484, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1531]), ['final']). 0.56/0.83 cnf(c_0_2485, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))))), inference(rw,[status(thm)],[c_0_1532, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2486, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1))|~hBOOL(hAPP_a_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1519]), ['final']). 0.56/0.83 cnf(c_0_2487, plain, (X1=hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(X1),X2)|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1533]), ['final']). 0.56/0.83 cnf(c_0_2488, plain, (is_fun_pname_bool(hAPP_a93125764e_bool(X2,X1))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1534]), ['final']). 0.56/0.83 cnf(c_0_2489, plain, (is_pname(esk99_1(X1))|X1=bot_bo844097828e_bool|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1350]), ['final']). 0.56/0.83 cnf(c_0_2490, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))), inference(split_conjunct,[status(thm)],[c_0_1535]), ['final']). 0.56/0.83 cnf(c_0_2491, hypothesis, (is_fun949378684l_bool(hAPP_f1631501043l_bool(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1536]), ['final']). 0.56/0.83 cnf(c_0_2492, plain, (bot_bo1389914601l_bool!=collect_fun_a_bool(X1)|~is_fun_a_bool(X2)|~hBOOL(hAPP_fun_a_bool_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1470]), ['final']). 0.56/0.83 cnf(c_0_2493, plain, (bot_bo1649642514l_bool!=collec1974731493e_bool(X1)|~is_fun_pname_bool(X2)|~hBOOL(hAPP_f1664156314l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1445]), ['final']). 0.56/0.83 cnf(c_0_2494, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1537]), ['final']). 0.56/0.83 cnf(c_0_2495, plain, (is_fun_pname_bool(esk126_1(X1))|collec1974731493e_bool(X1)=bot_bo1649642514l_bool), inference(split_conjunct,[status(thm)],[c_0_1444]), ['final']). 0.56/0.83 cnf(c_0_2496, plain, (is_fun_a_bool(cOMBS_a_bool_bool(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1538]), ['final']). 0.56/0.83 cnf(c_0_2497, plain, (is_fun_a_bool(hAPP_f2050579477a_bool(X2,X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1539]), ['final']). 0.56/0.83 cnf(c_0_2498, plain, (is_fun_a_bool(hAPP_a_fun_a_bool(X2,X1))|~is_a(X1)), inference(split_conjunct,[status(thm)],[c_0_1540]), ['final']). 0.56/0.83 cnf(c_0_2499, hypothesis, (is_fun_a_bool(image_pname_a(X2,X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1541]), ['final']). 0.56/0.83 cnf(c_0_2500, plain, (hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))), inference(split_conjunct,[status(thm)],[c_0_1542]), ['final']). 0.56/0.83 cnf(c_0_2501, plain, (bot_bo844097828e_bool=X2|bot_bot_fun_a_bool!=image_pname_a(X1,X2)|~is_fun_pname_bool(X2)), inference(split_conjunct,[status(thm)],[c_0_1543]), ['final']). 0.56/0.83 cnf(c_0_2502, plain, (is_a(esk64_1(X1))|collect_a(X1)=bot_bot_fun_a_bool), inference(split_conjunct,[status(thm)],[c_0_1460]), ['final']). 0.56/0.83 cnf(c_0_2503, hypothesis, (is_a(hAPP_pname_a(X2,X1))|~is_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1544]), ['final']). 0.56/0.83 cnf(c_0_2504, plain, (is_a(esk29_1(X1))|collect_a(X1)=bot_bot_fun_a_bool), inference(split_conjunct,[status(thm)],[c_0_1461]), ['final']). 0.56/0.83 cnf(c_0_2505, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_1440]), ['final']). 0.56/0.83 cnf(c_0_2506, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X2),X1))))), inference(split_conjunct,[status(thm)],[c_0_1440]), ['final']). 0.56/0.83 cnf(c_0_2507, plain, (hBOOL(X1)|hBOOL(hAPP_bool_bool(fNot,X1))), inference(split_conjunct,[status(thm)],[c_0_1545]), ['final']). 0.56/0.83 cnf(c_0_2508, plain, (is_fun_a_bool(esk106_1(X1))|bot_bo1389914601l_bool=collect_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1469]), ['final']). 0.56/0.83 cnf(c_0_2509, plain, (is_fun_a_bool(esk42_1(X1))|bot_bo1389914601l_bool=collect_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1470]), ['final']). 0.56/0.83 cnf(c_0_2510, plain, (X1=bot_bot_fun_a_bool|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),bot_bot_fun_a_bool))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1546]), ['final']). 0.56/0.83 cnf(c_0_2511, plain, (collect_a(X1)!=bot_bot_fun_a_bool|~is_a(X2)|~hBOOL(hAPP_a_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1461]), ['final']). 0.56/0.83 cnf(c_0_2512, plain, (is_fun_pname_bool(esk108_1(X1))|bot_bo1649642514l_bool=collec1974731493e_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1445]), ['final']). 0.56/0.83 cnf(c_0_2513, plain, (hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X1))|~hBOOL(bot_bot_bool)), inference(split_conjunct,[status(thm)],[c_0_1547]), ['final']). 0.56/0.83 cnf(c_0_2514, plain, (hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))|~hBOOL(bot_bot_bool)), inference(split_conjunct,[status(thm)],[c_0_1548]), ['final']). 0.56/0.83 cnf(c_0_2515, plain, (bot_bo844097828e_bool!=collect_pname(X1)|~is_pname(X2)|~hBOOL(hAPP_pname_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1454]), ['final']). 0.56/0.83 cnf(c_0_2516, plain, (is_fun949378684l_bool(p(X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1549]), ['final']). 0.56/0.83 cnf(c_0_2517, plain, (is_fun949378684l_bool(cOMBK_324466864a_bool(X1))|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1550]), ['final']). 0.56/0.83 cnf(c_0_2518, plain, (is_pname(esk88_1(X1))|bot_bo844097828e_bool=collect_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1449]), ['final']). 0.56/0.83 cnf(c_0_2519, plain, (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X1))|~hBOOL(bot_bot_bool)), inference(split_conjunct,[status(thm)],[c_0_1551]), ['final']). 0.56/0.83 cnf(c_0_2520, plain, (is_fun949378684l_bool(collect_fun_a_bool(X1))|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1552]), ['final']). 0.56/0.83 cnf(c_0_2521, plain, (is_fun_a_bool(cOMBK_bool_a(X1))|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1553]), ['final']). 0.56/0.83 cnf(c_0_2522, plain, (is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1554]), ['final']). 0.56/0.83 cnf(c_0_2523, plain, (is_fun1661590463l_bool(collec1974731493e_bool(X1))|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1555]), ['final']). 0.56/0.83 cnf(c_0_2524, plain, (is_pname(esk49_1(X1))|bot_bo844097828e_bool=collect_pname(X1)), inference(split_conjunct,[status(thm)],[c_0_1454]), ['final']). 0.56/0.83 cnf(c_0_2525, plain, (is_fun_pname_bool(cOMBK_bool_pname(X1))|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1556]), ['final']). 0.56/0.83 cnf(c_0_2526, plain, (is_fun_pname_bool(collect_pname(X1))|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1557]), ['final']). 0.56/0.83 cnf(c_0_2527, plain, (X1=collect_pname(X1)|~is_fun_pname_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1558]), ['final']). 0.56/0.83 cnf(c_0_2528, plain, (is_fun_a_bool(collect_a(X1))|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1559]), ['final']). 0.56/0.83 cnf(c_0_2529, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1547]), ['final']). 0.56/0.83 cnf(c_0_2530, plain, (X1=fTrue|X1=fFalse|~is_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1560]), ['final']). 0.56/0.83 cnf(c_0_2531, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1548]), ['final']). 0.56/0.83 cnf(c_0_2532, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X1))), inference(split_conjunct,[status(thm)],[c_0_1551]), ['final']). 0.56/0.83 cnf(c_0_2533, plain, (collect_fun_a_bool(X1)=X1|~is_fun949378684l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1561]), ['final']). 0.56/0.83 cnf(c_0_2534, plain, (X1=collec1974731493e_bool(X1)|~is_fun1661590463l_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1562]), ['final']). 0.56/0.83 cnf(c_0_2535, plain, (X1=collect_a(X1)|~is_fun_a_bool(X1)), inference(split_conjunct,[status(thm)],[c_0_1563]), ['final']). 0.56/0.83 cnf(c_0_2536, plain, (~hBOOL(hAPP_bool_bool(fNot,X1))|~hBOOL(X1)), inference(split_conjunct,[status(thm)],[c_0_1564]), ['final']). 0.56/0.83 cnf(c_0_2537, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))!=bot_bot_fun_nat_bool), inference(rw,[status(thm)],[c_0_1565, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2538, plain, (~hBOOL(hAPP_f54304608l_bool(bot_bo1701429464l_bool,X1))), inference(er,[status(thm)],[c_0_1566]), ['final']). 0.56/0.83 cnf(c_0_2539, plain, (~hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X1))), inference(er,[status(thm)],[c_0_1567]), ['final']). 0.56/0.83 cnf(c_0_2540, plain, (bot_bo844097828e_bool!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))), inference(rw,[status(thm)],[c_0_1568, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_2541, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_1569]), ['final']). 0.56/0.83 cnf(c_0_2542, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X2))), inference(split_conjunct,[status(thm)],[c_0_1570]), ['final']). 0.56/0.83 cnf(c_0_2543, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1))), inference(split_conjunct,[status(thm)],[c_0_1571]), ['final']). 0.56/0.83 cnf(c_0_2544, plain, (~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),bot_bot_fun_nat_bool))), inference(split_conjunct,[status(thm)],[c_0_1572]), ['final']). 0.56/0.83 cnf(c_0_2545, plain, (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool))), inference(split_conjunct,[status(thm)],[c_0_1573]), ['final']). 0.56/0.83 cnf(c_0_2546, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat))), inference(split_conjunct,[status(thm)],[c_0_1574]), ['final']). 0.56/0.83 cnf(c_0_2547, plain, (bot_bot_fun_a_bool!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))), inference(rw,[status(thm)],[c_0_1575, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2548, plain, (X1!=hAPP_nat_nat(suc,X1)), inference(split_conjunct,[status(thm)],[c_0_1576]), ['final']). 0.56/0.83 cnf(c_0_2549, plain, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),bot_bot_fun_a_bool))), inference(split_conjunct,[status(thm)],[c_0_1577]), ['final']). 0.56/0.83 cnf(c_0_2550, plain, (hAPP_nat_nat(suc,X1)!=zero_zero_nat), inference(split_conjunct,[status(thm)],[c_0_1578]), ['final']). 0.56/0.83 cnf(c_0_2551, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))), inference(rw,[status(thm)],[c_0_1579, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2552, hypothesis, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g))), inference(split_conjunct,[status(thm)],[c_0_1580]), ['final']). 0.56/0.83 cnf(c_0_2553, plain, (~hBOOL(fFalse)), inference(split_conjunct,[status(thm)],[c_0_1581]), ['final']). 0.56/0.83 cnf(c_0_2554, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X2)))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X1)))), inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1582, c_0_841]), c_0_841]), c_0_841]), c_0_758])])]), c_0_1033]), ['final']). 0.56/0.83 cnf(c_0_2555, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1583, c_0_1031]), c_0_1031]), ['final']). 0.56/0.83 cnf(c_0_2556, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1584, c_0_841]), c_0_841]), c_0_841]), c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2557, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1585, c_0_1040]), c_0_1040]), ['final']). 0.56/0.83 cnf(c_0_2558, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))=hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X3))), inference(split_conjunct,[status(thm)],[c_0_1586]), ['final']). 0.56/0.83 cnf(c_0_2559, plain, (hAPP_nat_nat(plus_plus_nat(X1),X2)=hAPP_nat_nat(plus_plus_nat(X2),X1)), inference(split_conjunct,[status(thm)],[c_0_1587]), ['final']). 0.56/0.83 cnf(c_0_2560, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)),X1))), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_1588, c_0_841])]), ['final']). 0.56/0.83 cnf(c_0_2561, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X1),X1))), inference(er,[status(thm)],[c_0_1589]), ['final']). 0.56/0.83 cnf(c_0_2562, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X1))), inference(er,[status(thm)],[c_0_1590]), ['final']). 0.56/0.83 cnf(c_0_2563, plain, (hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1))), inference(er,[status(thm)],[c_0_1591]), ['final']). 0.56/0.83 cnf(c_0_2564, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X1))), inference(er,[status(thm)],[c_0_1592]), ['final']). 0.56/0.83 cnf(c_0_2565, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1),X1))), inference(er,[status(thm)],[c_0_1593]), ['final']). 0.56/0.83 cnf(c_0_2566, plain, (hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X1))), inference(er,[status(thm)],[c_0_1594]), ['final']). 0.56/0.83 cnf(c_0_2567, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))), inference(rw,[status(thm)],[c_0_1595, c_0_1031]), ['final']). 0.56/0.83 cnf(c_0_2568, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1596, c_0_841]), c_0_841]), c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2569, plain, (image_a_pname(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_a_pname(X1,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_a_pname(X1,X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1597, c_0_837]), c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2570, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,hAPP_a_nat(X1,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_a_nat(X1,X3)))=image_a_nat(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))), inference(rw,[status(thm)],[c_0_1598, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2571, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),collec1974731493e_bool(X2))))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2))), inference(rw,[status(thm)],[c_0_1599, c_0_867]), ['final']). 0.56/0.83 cnf(c_0_2572, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))),X2))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),collect_fun_a_bool(X2))))), inference(rw,[status(thm)],[c_0_1600, c_0_882]), ['final']). 0.56/0.83 cnf(c_0_2573, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_nat_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_nat_a(X1,X3))))=image_nat_a(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)))), inference(rw,[status(thm)],[c_0_1601, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2574, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))), inference(rw,[status(thm)],[c_0_1602, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_2575, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))))), inference(rw,[status(thm)],[c_0_1603, c_0_837]), ['final']). 0.56/0.83 cnf(c_0_2576, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2)=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1604, c_0_841]), c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2577, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X1,X3))))=image_pname_a(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1605, c_0_837]), c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2578, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))), inference(rw,[status(thm)],[c_0_1606, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2579, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))))), inference(rw,[status(thm)],[c_0_1607, c_0_841]), ['final']). 0.56/0.83 cnf(c_0_2580, plain, (collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))), inference(rw,[status(thm)],[c_0_1608, c_0_1030]), ['final']). 0.56/0.83 cnf(c_0_2581, plain, (collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))), inference(rw,[status(thm)],[c_0_1609, c_0_1058]), ['final']). 0.56/0.83 cnf(c_0_2582, plain, (collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))), inference(rw,[status(thm)],[c_0_1610, c_0_1074]), ['final']). 0.56/0.83 cnf(c_0_2583, plain, (hAPP_nat_nat(minus_minus_nat(X1),X2)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1611]), ['final']). 0.56/0.83 cnf(c_0_2584, plain, (hAPP_nat_nat(minus_minus_nat(X1),X2)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2))), inference(split_conjunct,[status(thm)],[c_0_1612]), ['final']). 0.56/0.83 cnf(c_0_2585, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)=hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))), inference(split_conjunct,[status(thm)],[c_0_1613]), ['final']). 0.56/0.83 cnf(c_0_2586, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X2))))), inference(rw,[status(thm)],[c_0_1614, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2587, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(suc,X1)))), inference(split_conjunct,[status(thm)],[c_0_1615]), ['final']). 0.56/0.83 cnf(c_0_2588, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2))))), inference(split_conjunct,[status(thm)],[c_0_1616]), ['final']). 0.56/0.83 cnf(c_0_2589, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X2),X1))))), inference(split_conjunct,[status(thm)],[c_0_1617]), ['final']). 0.56/0.83 cnf(c_0_2590, plain, (hAPP_nat_nat(minus_minus_nat(X1),X2)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))), inference(split_conjunct,[status(thm)],[c_0_1618]), ['final']). 0.56/0.83 cnf(c_0_2591, plain, (hAPP_bool_bool(hAPP_p393069232l_bool(X1,X2),hAPP_pname_bool(X3,X2))=hAPP_pname_bool(cOMBS_568398431l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1619]), ['final']). 0.56/0.83 cnf(c_0_2592, plain, (hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X2),hAPP_f1664156314l_bool(X3,X2))=hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1620]), ['final']). 0.56/0.83 cnf(c_0_2593, plain, (hAPP_f54304608l_bool(cOMBS_1187019125l_bool(X1,X2),X3)=hAPP_bool_bool(hAPP_f1748468828l_bool(X1,X3),hAPP_f54304608l_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1621]), ['final']). 0.56/0.83 cnf(c_0_2594, hypothesis, (hAPP_fun_a_bool_nat(finite_card_a,g)=hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na))), inference(split_conjunct,[status(thm)],[conj_3]), ['final']). 0.56/0.83 cnf(c_0_2595, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,X1)),X2)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2))), inference(rw,[status(thm)],[c_0_1622, c_0_1623]), ['final']). 0.56/0.83 cnf(c_0_2596, plain, (hAPP_nat_bool(cOMBS_nat_bool_bool(X1,X2),X3)=hAPP_bool_bool(hAPP_n1006566506l_bool(X1,X3),hAPP_nat_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1624]), ['final']). 0.56/0.83 cnf(c_0_2597, plain, (hAPP_bool_bool(hAPP_a_fun_bool_bool(X1,X2),hAPP_a_bool(X3,X2))=hAPP_a_bool(cOMBS_a_bool_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1625]), ['final']). 0.56/0.83 cnf(c_0_2598, plain, (hAPP_bool_bool(hAPP_f198738859l_bool(X1,X2),hAPP_fun_a_bool_bool(X3,X2))=hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1626]), ['final']). 0.56/0.83 cnf(c_0_2599, plain, (hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(X1),X2),X3)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1627]), ['final']). 0.56/0.83 cnf(c_0_2600, plain, (hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1),X2),X3)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1628]), ['final']). 0.56/0.83 cnf(c_0_2601, plain, (hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_a_fun_nat_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1629]), ['final']). 0.56/0.83 cnf(c_0_2602, plain, (hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_a217006258l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1630]), ['final']). 0.56/0.83 cnf(c_0_2603, plain, (hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_a1392362872l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1631]), ['final']). 0.56/0.83 cnf(c_0_2604, plain, (hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_a93125764e_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1632]), ['final']). 0.56/0.83 cnf(c_0_2605, plain, (hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(X1),X2),X3)=hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1633]), ['final']). 0.56/0.83 cnf(c_0_2606, plain, (hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f800510211t_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1634]), ['final']). 0.56/0.83 cnf(c_0_2607, plain, (hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1635]), ['final']). 0.56/0.83 cnf(c_0_2608, hypothesis, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,na),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))))), inference(rw,[status(thm)],[c_0_1636, c_0_1049]), ['final']). 0.56/0.83 cnf(c_0_2609, plain, (hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1),X2),X3)=hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1637]), ['final']). 0.56/0.83 cnf(c_0_2610, plain, (hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f1066163005t_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1638]), ['final']). 0.56/0.83 cnf(c_0_2611, plain, (hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1639]), ['final']). 0.56/0.83 cnf(c_0_2612, plain, (hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1640]), ['final']). 0.56/0.83 cnf(c_0_2613, plain, (hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_p1534023578a_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1641]), ['final']). 0.56/0.83 cnf(c_0_2614, plain, (hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1642]), ['final']). 0.56/0.83 cnf(c_0_2615, plain, (hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_nat_fun_a_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1643]), ['final']). 0.56/0.83 cnf(c_0_2616, plain, (hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1644]), ['final']). 0.56/0.83 cnf(c_0_2617, plain, (hAPP_f621171935l_bool(hAPP_f1434722111l_bool(X1,X2),X3)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1645]), ['final']). 0.56/0.83 cnf(c_0_2618, plain, (hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X2),X3)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1646]), ['final']). 0.56/0.83 cnf(c_0_2619, plain, (hAPP_pname_bool(hAPP_n1025906991e_bool(X1,X2),X3)=hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1647]), ['final']). 0.56/0.83 cnf(c_0_2620, plain, (hAPP_pname_bool(hAPP_f654413245e_bool(X1,X2),X3)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1648]), ['final']). 0.56/0.83 cnf(c_0_2621, plain, (hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1649]), ['final']). 0.56/0.83 cnf(c_0_2622, plain, (hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(X1,X2),X3)=hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1650]), ['final']). 0.56/0.83 cnf(c_0_2623, plain, (hAPP_pname_bool(hAPP_f759274231e_bool(X1,X2),X3)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1651]), ['final']). 0.56/0.83 cnf(c_0_2624, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1))), inference(split_conjunct,[status(thm)],[c_0_1652]), ['final']). 0.56/0.83 cnf(c_0_2625, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2)))), inference(split_conjunct,[status(thm)],[c_0_1653]), ['final']). 0.56/0.83 cnf(c_0_2626, plain, (hAPP_pname_bool(hAPP_p61793385e_bool(X1,X2),X3)=hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1654]), ['final']). 0.56/0.83 cnf(c_0_2627, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1)))), inference(split_conjunct,[status(thm)],[c_0_1655]), ['final']). 0.56/0.83 cnf(c_0_2628, plain, (hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_f1794073134e_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1656]), ['final']). 0.56/0.83 cnf(c_0_2629, plain, (hAPP_nat_bool(hAPP_p1499970991t_bool(X1,X2),X3)=hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1657]), ['final']). 0.56/0.83 cnf(c_0_2630, plain, (hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(X1),X2),X3)=hAPP_f621171935l_bool(hAPP_f285962445l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1658]), ['final']). 0.56/0.83 cnf(c_0_2631, plain, (hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f282463732t_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1659]), ['final']). 0.56/0.83 cnf(c_0_2632, plain, (hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X2),X3)=hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1660]), ['final']). 0.56/0.83 cnf(c_0_2633, plain, (hAPP_f1748468828l_bool(cOMBB_444170502t_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_f54304608l_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1661]), ['final']). 0.56/0.83 cnf(c_0_2634, plain, (hAPP_p393069232l_bool(cOMBB_675860798_pname(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1662]), ['final']). 0.56/0.83 cnf(c_0_2635, plain, (hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1663]), ['final']). 0.56/0.83 cnf(c_0_2636, plain, (hAPP_p1499970991t_bool(cOMBB_523834888_pname(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_pname_nat(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1664]), ['final']). 0.56/0.83 cnf(c_0_2637, plain, (hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_f921600141ol_nat(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1665]), ['final']). 0.56/0.83 cnf(c_0_2638, plain, (hAPP_f759274231e_bool(cOMBB_598082538e_bool(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_f1297739591_pname(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1666]), ['final']). 0.56/0.83 cnf(c_0_2639, plain, (hAPP_f282463732t_bool(cOMBB_164527437a_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_fun_a_bool_nat(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1667]), ['final']). 0.56/0.83 cnf(c_0_2640, plain, (hAPP_a1392362872l_bool(cOMBB_743407885bool_a(X1,X2),X3)=hAPP_f103356543l_bool(X1,hAPP_a_fun_nat_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1668]), ['final']). 0.56/0.83 cnf(c_0_2641, plain, (hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_a_nat(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1669]), ['final']). 0.56/0.83 cnf(c_0_2642, plain, (hAPP_f800510211t_bool(cOMBB_1250273980t_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_f22106695ol_nat(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1670]), ['final']). 0.56/0.83 cnf(c_0_2643, plain, (hAPP_a_bool(cOMBB_bool_bool_a(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_a_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1671]), ['final']). 0.56/0.83 cnf(c_0_2644, plain, (hAPP_pname_bool(cOMBB_647938656_pname(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1672]), ['final']). 0.56/0.83 cnf(c_0_2645, plain, (hAPP_a93125764e_bool(cOMBB_610033911bool_a(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_a_pname(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1673]), ['final']). 0.56/0.83 cnf(c_0_2646, plain, (hAPP_p61793385e_bool(X1,hAPP_f1128469712_pname(X2,X3))=hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1674]), ['final']). 0.56/0.83 cnf(c_0_2647, plain, (hAPP_p61793385e_bool(X1,hAPP_pname_pname(X2,X3))=hAPP_p61793385e_bool(cOMBB_542850580_pname(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1675]), ['final']). 0.56/0.83 cnf(c_0_2648, plain, (hAPP_p61793385e_bool(X1,hAPP_nat_pname(X2,X3))=hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1676]), ['final']). 0.56/0.83 cnf(c_0_2649, plain, (hAPP_p61793385e_bool(X1,hAPP_f1291551745_pname(X2,X3))=hAPP_f654413245e_bool(cOMBB_141086128t_bool(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1677]), ['final']). 0.56/0.83 cnf(c_0_2650, plain, (hAPP_f103356543l_bool(X1,hAPP_p1499970991t_bool(X2,X3))=hAPP_p130839763l_bool(cOMBB_928955006_pname(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1678]), ['final']). 0.56/0.83 cnf(c_0_2651, plain, (hAPP_f103356543l_bool(X1,hAPP_n1699378549t_bool(X2,X3))=hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1679]), ['final']). 0.56/0.83 cnf(c_0_2652, plain, (hAPP_bool_bool(X1,hAPP_f54304608l_bool(X2,X3))=hAPP_f54304608l_bool(cOMBB_238756964t_bool(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1680]), ['final']). 0.56/0.83 cnf(c_0_2653, plain, (hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3))=hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1681]), ['final']). 0.56/0.83 cnf(c_0_2654, plain, (hAPP_bool_bool(X1,hAPP_nat_bool(X2,X3))=hAPP_nat_bool(cOMBB_bool_bool_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1682]), ['final']). 0.56/0.83 cnf(c_0_2655, plain, (hAPP_b589554111l_bool(X1,hAPP_nat_bool(X2,X3))=hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1683]), ['final']). 0.56/0.83 cnf(c_0_2656, plain, (hAPP_f434788991l_bool(X1,hAPP_n1025906991e_bool(X2,X3))=hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1684]), ['final']). 0.56/0.83 cnf(c_0_2657, plain, (hAPP_f434788991l_bool(X1,hAPP_p61793385e_bool(X2,X3))=hAPP_p338031245l_bool(cOMBB_408569982_pname(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1685]), ['final']). 0.56/0.83 cnf(c_0_2658, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))), inference(rw,[status(thm)],[c_0_1686, c_0_1040]), ['final']). 0.56/0.83 cnf(c_0_2659, plain, (hAPP_f434788991l_bool(X1,hAPP_a93125764e_bool(X2,X3))=hAPP_a217006258l_bool(cOMBB_1137537805bool_a(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1687]), ['final']). 0.56/0.83 cnf(c_0_2660, plain, (hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_a_fun_a_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1688]), ['final']). 0.56/0.83 cnf(c_0_2661, plain, (hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X1,X2),X3)=hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X1),X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1689]), ['final']). 0.56/0.83 cnf(c_0_2662, plain, (hAPP_n1699378549t_bool(X1,hAPP_nat_nat(X2,X3))=hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1690]), ['final']). 0.56/0.83 cnf(c_0_2663, plain, (hAPP_f198738859l_bool(cOMBB_338059395a_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_fun_a_bool_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1691]), ['final']). 0.56/0.83 cnf(c_0_2664, plain, (hAPP_p1824510254l_bool(cOMBB_392435466_pname(X1,X2),X3)=hAPP_f1631501043l_bool(X1,hAPP_p1534023578a_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1692]), ['final']). 0.56/0.83 cnf(c_0_2665, plain, (hAPP_a_fun_a_bool(X1,hAPP_nat_a(X2,X3))=hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1693]), ['final']). 0.56/0.83 cnf(c_0_2666, plain, (hAPP_f1631501043l_bool(X1,hAPP_nat_fun_a_bool(X2,X3))=hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1694]), ['final']). 0.56/0.83 cnf(c_0_2667, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1)))), inference(split_conjunct,[status(thm)],[c_0_1695]), ['final']). 0.56/0.83 cnf(c_0_2668, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1)))), inference(split_conjunct,[status(thm)],[c_0_1696]), ['final']). 0.56/0.83 cnf(c_0_2669, plain, (hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_a_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1697]), ['final']). 0.56/0.83 cnf(c_0_2670, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)=X1), inference(split_conjunct,[status(thm)],[c_0_1698]), ['final']). 0.56/0.83 cnf(c_0_2671, plain, (X1=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),X2)), inference(split_conjunct,[status(thm)],[c_0_1699]), ['final']). 0.56/0.83 cnf(c_0_2672, plain, (hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_1700]), ['final']). 0.56/0.83 cnf(c_0_2673, plain, (hAPP_p1534023578a_bool(cOMBB_1897541054_pname(X1,X2),X3)=hAPP_a_fun_a_bool(X1,hAPP_pname_a(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1701]), ['final']). 0.56/0.83 cnf(c_0_2674, plain, (hAPP_f1631501043l_bool(X1,hAPP_a_fun_a_bool(X2,X3))=hAPP_a85458249l_bool(cOMBB_472261505bool_a(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1702]), ['final']). 0.56/0.83 cnf(c_0_2675, plain, (hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_fun_a_bool_bool(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_1703]), ['final']). 0.56/0.83 cnf(c_0_2676, plain, (hAPP_a_fun_a_bool(X1,hAPP_a_a(X2,X3))=hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_1704]), ['final']). 0.56/0.83 cnf(c_0_2677, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X1),X2))=zero_zero_nat), inference(split_conjunct,[status(thm)],[c_0_1705]), ['final']). 0.56/0.83 cnf(c_0_2678, plain, (is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool)))), inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc__HOL__Obool]), ['final']). 0.56/0.83 cnf(c_0_2679, plain, (is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool)))), inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J_Mtc_]), ['final']). 0.56/0.83 cnf(c_0_2680, plain, (hAPP_nat_nat(suc,X1)=hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1))), inference(rw,[status(thm)],[c_0_1706, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2681, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1)))), inference(rw,[status(thm)],[c_0_1707, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2682, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1)))), inference(rw,[status(thm)],[c_0_1708, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2683, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),one_one_nat)=X1), inference(split_conjunct,[status(thm)],[c_0_1709]), ['final']). 0.56/0.83 cnf(c_0_2684, plain, (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1))=X1), inference(rw,[status(thm)],[c_0_1710, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2685, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))))), inference(rw,[status(thm)],[c_0_1711, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2686, plain, (hAPP_nat_nat(plus_plus_nat(X1),one_one_nat)=hAPP_nat_nat(suc,X1)), inference(split_conjunct,[status(thm)],[c_0_1712]), ['final']). 0.56/0.83 cnf(c_0_2687, plain, (hAPP_nat_nat(plus_plus_nat(one_one_nat),X1)=hAPP_nat_nat(suc,X1)), inference(split_conjunct,[status(thm)],[c_0_1713]), ['final']). 0.56/0.83 cnf(c_0_2688, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1))), inference(split_conjunct,[status(thm)],[c_0_1714]), ['final']). 0.56/0.83 cnf(c_0_2689, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X1))), inference(split_conjunct,[status(thm)],[c_0_1715]), ['final']). 0.56/0.83 cnf(c_0_2690, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1))), inference(split_conjunct,[status(thm)],[c_0_1716]), ['final']). 0.56/0.83 cnf(c_0_2691, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1))), inference(split_conjunct,[status(thm)],[c_0_1717]), ['final']). 0.56/0.83 cnf(c_0_2692, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),X1))), inference(split_conjunct,[status(thm)],[c_0_1718]), ['final']). 0.56/0.83 cnf(c_0_2693, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),X1))), inference(split_conjunct,[status(thm)],[c_0_1719]), ['final']). 0.56/0.83 cnf(c_0_2694, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1))), inference(split_conjunct,[status(thm)],[c_0_1720]), ['final']). 0.56/0.83 cnf(c_0_2695, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))))), inference(rw,[status(thm)],[c_0_1721, c_0_847]), ['final']). 0.56/0.83 cnf(c_0_2696, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1))), inference(split_conjunct,[status(thm)],[c_0_1722]), ['final']). 0.56/0.83 cnf(c_0_2697, plain, (is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool)))), inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_It__a_Mtc__HOL__Obool_J]), ['final']). 0.56/0.83 cnf(c_0_2698, plain, (is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool)))), inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J]), ['final']). 0.56/0.83 cnf(c_0_2699, plain, (zero_zero_nat=hAPP_nat_nat(minus_minus_nat(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_1723]), ['final']). 0.56/0.83 cnf(c_0_2700, plain, (hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)=X1), inference(split_conjunct,[status(thm)],[c_0_1724]), ['final']). 0.56/0.83 cnf(c_0_2701, plain, (hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X1)=zero_zero_nat), inference(split_conjunct,[status(thm)],[c_0_1725]), ['final']). 0.56/0.83 cnf(c_0_2702, plain, (is_fun949378684l_bool(image_nat_fun_a_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1726]), ['final']). 0.56/0.83 cnf(c_0_2703, plain, (is_fun949378684l_bool(hAPP_n1414589940l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1727]), ['final']). 0.56/0.83 cnf(c_0_2704, plain, (is_bool(hAPP_f292226953l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1728]), ['final']). 0.56/0.83 cnf(c_0_2705, plain, (is_bool(hAPP_f937997336l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1729]), ['final']). 0.56/0.83 cnf(c_0_2706, plain, (is_bool(hAPP_f389811538l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1730]), ['final']). 0.56/0.83 cnf(c_0_2707, plain, (is_bool(hAPP_f1637334154l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1731]), ['final']). 0.56/0.83 cnf(c_0_2708, plain, (is_bool(hAPP_f54304608l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1732]), ['final']). 0.56/0.83 cnf(c_0_2709, hypothesis, (is_bool(hAPP_nat_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1733]), ['final']). 0.56/0.83 cnf(c_0_2710, plain, (is_fun_a_bool(hAPP_nat_fun_a_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1734]), ['final']). 0.56/0.83 cnf(c_0_2711, plain, (is_fun_a_bool(hAPP_f1549043526a_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1735]), ['final']). 0.56/0.83 cnf(c_0_2712, plain, (is_fun_a_bool(image_nat_a(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1736]), ['final']). 0.56/0.83 cnf(c_0_2713, plain, (is_fun_a_bool(image_fun_nat_bool_a(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1737]), ['final']). 0.56/0.83 cnf(c_0_2714, plain, (is_fun1661590463l_bool(image_1655916159e_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1738]), ['final']). 0.56/0.83 cnf(c_0_2715, plain, (collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))), inference(rw,[status(thm)],[c_0_1739, c_0_1039]), ['final']). 0.56/0.83 cnf(c_0_2716, plain, (is_fun1661590463l_bool(hAPP_n850744903l_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1740]), ['final']). 0.56/0.83 cnf(c_0_2717, plain, (is_pname(hAPP_nat_pname(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1741]), ['final']). 0.56/0.83 cnf(c_0_2718, plain, (is_pname(hAPP_f1291551745_pname(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1742]), ['final']). 0.56/0.83 cnf(c_0_2719, plain, (is_a(hAPP_nat_a(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1743]), ['final']). 0.56/0.83 cnf(c_0_2720, plain, (is_fun_pname_bool(hAPP_n1025906991e_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1744]), ['final']). 0.56/0.83 cnf(c_0_2721, plain, (is_fun_pname_bool(image_1921560913_pname(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1745]), ['final']). 0.56/0.83 cnf(c_0_2722, hypothesis, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u))), inference(split_conjunct,[status(thm)],[conj_4]), ['final']). 0.56/0.83 cnf(c_0_2723, plain, (is_fun_pname_bool(hAPP_f654413245e_bool(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1746]), ['final']). 0.56/0.83 cnf(c_0_2724, plain, (is_fun_pname_bool(image_nat_pname(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_1747]), ['final']). 0.56/0.83 cnf(c_0_2725, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,bot_bo1389914601l_bool))), inference(split_conjunct,[status(thm)],[fact_388_finite_OemptyI]), ['final']). 0.56/0.83 cnf(c_0_2726, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,bot_bo1701429464l_bool))), inference(split_conjunct,[status(thm)],[fact_386_finite_OemptyI]), ['final']). 0.56/0.83 cnf(c_0_2727, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool))), inference(split_conjunct,[status(thm)],[fact_387_finite_OemptyI]), ['final']). 0.56/0.83 cnf(c_0_2728, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool))), inference(split_conjunct,[status(thm)],[fact_391_finite_OemptyI]), ['final']). 0.56/0.83 cnf(c_0_2729, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool))), inference(split_conjunct,[status(thm)],[fact_390_finite_OemptyI]), ['final']). 0.56/0.83 cnf(c_0_2730, plain, (is_bool(wt(X1))), inference(split_conjunct,[status(thm)],[c_0_1748]), ['final']). 0.56/0.83 cnf(c_0_2731, plain, (collect_fun_a_bool(cOMBK_324466864a_bool(fFalse))=bot_bo1389914601l_bool), inference(split_conjunct,[status(thm)],[fact_422_empty__def]), ['final']). 0.56/0.83 cnf(c_0_2732, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X1))), inference(split_conjunct,[status(thm)],[c_0_1749]), ['final']). 0.56/0.83 cnf(c_0_2733, plain, (is_a(mgt(X1))), inference(split_conjunct,[status(thm)],[c_0_1750]), ['final']). 0.56/0.83 cnf(c_0_2734, plain, (is_pname(undefined_pname(pname))), inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000tc__Com__Opname]), ['final']). 0.56/0.83 cnf(c_0_2735, plain, (collect_pname(cOMBK_bool_pname(fFalse))=bot_bo844097828e_bool), inference(split_conjunct,[status(thm)],[fact_419_empty__def]), ['final']). 0.56/0.83 cnf(c_0_2736, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),X1))), inference(split_conjunct,[status(thm)],[c_0_1751]), ['final']). 0.56/0.83 cnf(c_0_2737, plain, (is_a(undefined_a(x_a))), inference(split_conjunct,[status(thm)],[gsy_c_HOL_Oundefined_000t__a]), ['final']). 0.56/0.83 cnf(c_0_2738, plain, (image_pname_a(X1,bot_bo844097828e_bool)=bot_bot_fun_a_bool), inference(split_conjunct,[status(thm)],[c_0_1752]), ['final']). 0.56/0.83 cnf(c_0_2739, plain, (bot_bo1649642514l_bool=collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse))), inference(split_conjunct,[status(thm)],[fact_421_empty__def]), ['final']). 0.56/0.83 cnf(c_0_2740, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool))), inference(split_conjunct,[status(thm)],[fact_389_finite_OemptyI]), ['final']). 0.56/0.83 cnf(c_0_2741, hypothesis, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u))), inference(split_conjunct,[status(thm)],[conj_0]), ['final']). 0.56/0.83 cnf(c_0_2742, plain, (collect_a(cOMBK_bool_a(fFalse))=bot_bot_fun_a_bool), inference(split_conjunct,[status(thm)],[fact_423_empty__def]), ['final']). 0.56/0.83 cnf(c_0_2743, plain, (is_fun949378684l_bool(bot_bo1389914601l_bool)), inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_It__a_Mtc__HOL__Obool_J_Mtc]), ['final']). 0.56/0.83 cnf(c_0_2744, plain, (is_fun949378684l_bool(finite_finite_a)), inference(split_conjunct,[status(thm)],[gsy_c_Finite__Set_Ofinite_000t__a]), ['final']). 0.56/0.83 cnf(c_0_2745, plain, (bot_bo1701429464l_bool=cOMBK_1994329625t_bool(fFalse)), inference(rw,[status(thm)],[c_0_1753, c_0_733]), ['final']). 0.56/0.83 cnf(c_0_2746, plain, (is_bool(fFalse)), inference(split_conjunct,[status(thm)],[gsy_c_fFalse]), ['final']). 0.56/0.83 cnf(c_0_2747, plain, (is_bool(fTrue)), inference(split_conjunct,[status(thm)],[gsy_c_fTrue]), ['final']). 0.56/0.83 cnf(c_0_2748, plain, (is_bool(bot_bot_bool)), inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool]), ['final']). 0.56/0.83 cnf(c_0_2749, plain, (is_fun_a_bool(bot_bot_fun_a_bool)), inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__fun_It__a_Mtc__HOL__Obool_J]), ['final']). 0.56/0.83 cnf(c_0_2750, plain, (is_fun1661590463l_bool(bot_bo1649642514l_bool)), inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__fun_Itc__Com__Opname_Mtc__HOL__]), ['final']). 0.56/0.83 cnf(c_0_2751, hypothesis, (is_fun1661590463l_bool(finite_finite_pname)), inference(split_conjunct,[status(thm)],[gsy_c_Finite__Set_Ofinite_000tc__Com__Opname]), ['final']). 0.56/0.83 cnf(c_0_2752, plain, (is_fun_pname_bool(bot_bo844097828e_bool)), inference(split_conjunct,[status(thm)],[gsy_c_Orderings_Obot__class_Obot_000tc__fun_Itc__Com__Opname_Mtc__HOL__Obool_J]), ['final']). 0.56/0.83 cnf(c_0_2753, hypothesis, (is_fun_a_bool(g)), inference(split_conjunct,[status(thm)],[gsy_v_G]), ['final']). 0.56/0.83 cnf(c_0_2754, plain, (bot_bot_fun_nat_bool=cOMBK_bool_nat(fFalse)), inference(rw,[status(thm)],[c_0_1754, c_0_737]), ['final']). 0.56/0.83 cnf(c_0_2755, hypothesis, (is_pname(pn)), inference(split_conjunct,[status(thm)],[gsy_v_pn]), ['final']). 0.56/0.83 cnf(c_0_2756, hypothesis, (is_fun_pname_bool(u)), inference(split_conjunct,[status(thm)],[gsy_v_U]), ['final']). 0.56/0.83 cnf(c_0_2757, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))), inference(split_conjunct,[status(thm)],[conj_1]), ['final']). 0.56/0.83 0.56/0.83 # End clausification derivation 0.56/0.83 # Begin listing active clauses obtained from FOF to CNF conversion 0.56/0.83 cnf(i_0_813, plain, (bot_bot_nat=zero_zero_nat)). 0.56/0.83 cnf(i_0_510, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))))). 0.56/0.83 cnf(i_0_1118, hypothesis, (is_fun_pname_bool(u))). 0.56/0.83 cnf(i_0_60, hypothesis, (is_pname(pn))). 0.56/0.83 cnf(i_0_1261, plain, (cOMBK_bool_nat(fFalse)=bot_bot_fun_nat_bool)). 0.56/0.83 cnf(i_0_943, hypothesis, (is_fun_a_bool(g))). 0.56/0.83 cnf(i_0_1314, plain, (is_fun_pname_bool(bot_bo844097828e_bool))). 0.56/0.83 cnf(i_0_1122, hypothesis, (is_fun1661590463l_bool(finite_finite_pname))). 0.56/0.83 cnf(i_0_637, plain, (is_fun1661590463l_bool(bot_bo1649642514l_bool))). 0.56/0.83 cnf(i_0_503, plain, (is_fun_a_bool(bot_bot_fun_a_bool))). 0.56/0.83 cnf(i_0_1019, plain, (is_bool(bot_bot_bool))). 0.56/0.83 cnf(i_0_768, plain, (is_bool(fTrue))). 0.56/0.83 cnf(i_0_355, plain, (is_bool(fFalse))). 0.56/0.83 cnf(i_0_392, plain, (cOMBK_1994329625t_bool(fFalse)=bot_bo1701429464l_bool)). 0.56/0.83 cnf(i_0_1313, plain, (is_fun949378684l_bool(finite_finite_a))). 0.56/0.83 cnf(i_0_642, plain, (is_fun949378684l_bool(bot_bo1389914601l_bool))). 0.56/0.83 cnf(i_0_845, plain, (collect_a(cOMBK_bool_a(fFalse))=bot_bot_fun_a_bool)). 0.56/0.83 cnf(i_0_357, hypothesis, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)))). 0.56/0.83 cnf(i_0_594, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)))). 0.56/0.83 cnf(i_0_634, plain, (collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse))=bot_bo1649642514l_bool)). 0.56/0.83 cnf(i_0_99, plain, (image_pname_a(X1,bot_bo844097828e_bool)=bot_bot_fun_a_bool)). 0.56/0.83 cnf(i_0_831, plain, (is_a(undefined_a(x_a)))). 0.56/0.83 cnf(i_0_50, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),X1)))). 0.56/0.83 cnf(i_0_380, plain, (collect_pname(cOMBK_bool_pname(fFalse))=bot_bo844097828e_bool)). 0.56/0.83 cnf(i_0_854, plain, (is_pname(undefined_pname(pname)))). 0.56/0.83 cnf(i_0_311, plain, (is_a(mgt(X1)))). 0.56/0.83 cnf(i_0_707, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X1)))). 0.56/0.83 cnf(i_0_774, plain, (collect_fun_a_bool(cOMBK_324466864a_bool(fFalse))=bot_bo1389914601l_bool)). 0.56/0.83 cnf(i_0_126, plain, (is_bool(wt(X1)))). 0.56/0.83 cnf(i_0_688, plain, (hAPP_nat_nat(suc,zero_zero_nat)=one_one_nat)). 0.56/0.83 cnf(i_0_1277, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)))). 0.56/0.83 cnf(i_0_1218, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)))). 0.56/0.83 cnf(i_0_936, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)))). 0.56/0.83 cnf(i_0_95, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,bot_bo1701429464l_bool)))). 0.56/0.83 cnf(i_0_1031, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,bot_bo1389914601l_bool)))). 0.56/0.83 cnf(i_0_51, plain, (is_fun_pname_bool(image_nat_pname(X1,X2)))). 0.56/0.83 cnf(i_0_1220, plain, (is_fun_pname_bool(hAPP_f654413245e_bool(X1,X2)))). 0.56/0.83 cnf(i_0_1052, hypothesis, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)))). 0.56/0.83 cnf(i_0_1081, plain, (is_fun_pname_bool(image_1921560913_pname(X1,X2)))). 0.56/0.83 cnf(i_0_549, plain, (is_fun_pname_bool(hAPP_n1025906991e_bool(X1,X2)))). 0.56/0.83 cnf(i_0_10, plain, (is_a(hAPP_nat_a(X1,X2)))). 0.56/0.83 cnf(i_0_1342, plain, (is_pname(hAPP_f1291551745_pname(X1,X2)))). 0.56/0.83 cnf(i_0_1237, plain, (is_pname(hAPP_nat_pname(X1,X2)))). 0.56/0.83 cnf(i_0_97, plain, (is_fun1661590463l_bool(hAPP_n850744903l_bool(X1,X2)))). 0.56/0.83 cnf(i_0_479, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1)))). 0.56/0.83 cnf(i_0_1005, plain, (collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1)))). 0.56/0.83 cnf(i_0_378, plain, (is_fun1661590463l_bool(image_1655916159e_bool(X1,X2)))). 0.56/0.83 cnf(i_0_201, plain, (is_fun_a_bool(image_fun_nat_bool_a(X1,X2)))). 0.56/0.83 cnf(i_0_844, plain, (is_fun_a_bool(image_nat_a(X1,X2)))). 0.56/0.83 cnf(i_0_469, plain, (is_fun_a_bool(hAPP_f1549043526a_bool(X1,X2)))). 0.56/0.83 cnf(i_0_650, plain, (is_fun_a_bool(hAPP_nat_fun_a_bool(X1,X2)))). 0.56/0.83 cnf(i_0_1260, hypothesis, (is_bool(hAPP_nat_bool(X1,X2)))). 0.56/0.83 cnf(i_0_1174, plain, (is_bool(hAPP_f54304608l_bool(X1,X2)))). 0.56/0.83 cnf(i_0_345, plain, (is_bool(hAPP_f1637334154l_bool(X1,X2)))). 0.56/0.83 cnf(i_0_691, plain, (is_bool(hAPP_f389811538l_bool(X1,X2)))). 0.56/0.83 cnf(i_0_805, plain, (is_bool(hAPP_f937997336l_bool(X1,X2)))). 0.56/0.83 cnf(i_0_930, plain, (is_bool(hAPP_f292226953l_bool(X1,X2)))). 0.56/0.83 cnf(i_0_1022, plain, (is_fun949378684l_bool(hAPP_n1414589940l_bool(X1,X2)))). 0.56/0.83 cnf(i_0_1012, plain, (is_fun949378684l_bool(image_nat_fun_a_bool(X1,X2)))). 0.56/0.83 cnf(i_0_570, plain, (hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X1)=zero_zero_nat)). 0.56/0.83 cnf(i_0_1304, plain, (hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)=X1)). 0.56/0.83 cnf(i_0_284, plain, (hAPP_nat_nat(minus_minus_nat(X1),X1)=zero_zero_nat)). 0.56/0.83 cnf(i_0_298, plain, (is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))))). 0.56/0.83 cnf(i_0_706, plain, (is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))))). 0.56/0.83 cnf(i_0_441, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)))). 0.56/0.83 cnf(i_0_508, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))))). 0.56/0.83 cnf(i_0_315, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)))). 0.56/0.83 cnf(i_0_944, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),X1)))). 0.56/0.83 cnf(i_0_876, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),X1)))). 0.56/0.83 cnf(i_0_180, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)))). 0.56/0.83 cnf(i_0_367, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)))). 0.56/0.83 cnf(i_0_841, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X1)))). 0.56/0.83 cnf(i_0_199, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)))). 0.56/0.83 cnf(i_0_423, plain, (hAPP_nat_nat(plus_plus_nat(one_one_nat),X1)=hAPP_nat_nat(suc,X1))). 0.56/0.83 cnf(i_0_821, plain, (hAPP_nat_nat(plus_plus_nat(X1),one_one_nat)=hAPP_nat_nat(suc,X1))). 0.56/0.83 cnf(i_0_1056, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))))). 0.56/0.83 cnf(i_0_393, plain, (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1))=X1)). 0.56/0.83 cnf(i_0_1356, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),one_one_nat)=X1)). 0.56/0.83 cnf(i_0_366, plain, (hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1))=hAPP_n1699378549t_bool(ord_less_nat,X1))). 0.56/0.83 cnf(i_0_470, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1))))). 0.56/0.83 cnf(i_0_931, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1))))). 0.56/0.83 cnf(i_0_925, plain, (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1))=hAPP_nat_nat(suc,X1))). 0.56/0.83 cnf(i_0_653, plain, (is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))))). 0.56/0.83 cnf(i_0_948, plain, (is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))))). 0.56/0.83 cnf(i_0_1131, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X1),X2))=zero_zero_nat)). 0.56/0.83 cnf(i_0_511, plain, (hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(X1,X2),X3)=hAPP_a_fun_a_bool(X1,hAPP_a_a(X2,X3)))). 0.56/0.83 cnf(i_0_475, plain, (hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_fun_a_bool_bool(X2,X3)))). 0.56/0.83 cnf(i_0_590, plain, (hAPP_a85458249l_bool(cOMBB_472261505bool_a(X1,X2),X3)=hAPP_f1631501043l_bool(X1,hAPP_a_fun_a_bool(X2,X3)))). 0.56/0.83 cnf(i_0_365, plain, (hAPP_p1534023578a_bool(cOMBB_1897541054_pname(X1,X2),X3)=hAPP_a_fun_a_bool(X1,hAPP_pname_a(X2,X3)))). 0.56/0.83 cnf(i_0_882, plain, (hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_386, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)=X2)). 0.56/0.83 cnf(i_0_1222, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)=X1)). 0.56/0.83 cnf(i_0_1125, plain, (hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_a_bool(X2,X3)))). 0.56/0.83 cnf(i_0_620, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))))). 0.56/0.83 cnf(i_0_855, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1))))). 0.56/0.83 cnf(i_0_1221, plain, (hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(X1,X2),X3)=hAPP_f1631501043l_bool(X1,hAPP_nat_fun_a_bool(X2,X3)))). 0.56/0.83 cnf(i_0_796, plain, (hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(X1,X2),X3)=hAPP_a_fun_a_bool(X1,hAPP_nat_a(X2,X3)))). 0.56/0.83 cnf(i_0_387, plain, (hAPP_p1824510254l_bool(cOMBB_392435466_pname(X1,X2),X3)=hAPP_f1631501043l_bool(X1,hAPP_p1534023578a_bool(X2,X3)))). 0.56/0.83 cnf(i_0_745, plain, (hAPP_f198738859l_bool(cOMBB_338059395a_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_fun_a_bool_bool(X2,X3)))). 0.56/0.83 cnf(i_0_102, plain, (hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_nat_nat(X2,X3)))). 0.56/0.83 cnf(i_0_836, plain, (hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_601, plain, (hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_a_fun_a_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_810, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(X2))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),X2)))). 0.56/0.83 cnf(i_0_38, plain, (hAPP_a217006258l_bool(cOMBB_1137537805bool_a(X1,X2),X3)=hAPP_f434788991l_bool(X1,hAPP_a93125764e_bool(X2,X3)))). 0.56/0.83 cnf(i_0_121, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))). 0.56/0.83 cnf(i_0_798, plain, (hAPP_p338031245l_bool(cOMBB_408569982_pname(X1,X2),X3)=hAPP_f434788991l_bool(X1,hAPP_p61793385e_bool(X2,X3)))). 0.56/0.83 cnf(i_0_808, plain, (hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(X1,X2),X3)=hAPP_f434788991l_bool(X1,hAPP_n1025906991e_bool(X2,X3)))). 0.56/0.83 cnf(i_0_863, plain, (hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_nat_bool(X2,X3)))). 0.56/0.83 cnf(i_0_789, plain, (hAPP_nat_bool(cOMBB_bool_bool_nat(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_nat_bool(X2,X3)))). 0.56/0.83 cnf(i_0_913, plain, (hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)))). 0.56/0.83 cnf(i_0_598, plain, (hAPP_f54304608l_bool(cOMBB_238756964t_bool(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_f54304608l_bool(X2,X3)))). 0.56/0.83 cnf(i_0_83, plain, (hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(X1,X2),X3)=hAPP_f103356543l_bool(X1,hAPP_n1699378549t_bool(X2,X3)))). 0.56/0.83 cnf(i_0_391, plain, (hAPP_p130839763l_bool(cOMBB_928955006_pname(X1,X2),X3)=hAPP_f103356543l_bool(X1,hAPP_p1499970991t_bool(X2,X3)))). 0.56/0.83 cnf(i_0_152, plain, (hAPP_f654413245e_bool(cOMBB_141086128t_bool(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_f1291551745_pname(X2,X3)))). 0.56/0.83 cnf(i_0_543, plain, (hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_nat_pname(X2,X3)))). 0.56/0.83 cnf(i_0_792, plain, (hAPP_p61793385e_bool(cOMBB_542850580_pname(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_pname_pname(X2,X3)))). 0.56/0.83 cnf(i_0_1278, plain, (hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_f1128469712_pname(X2,X3)))). 0.56/0.83 cnf(i_0_507, plain, (hAPP_a93125764e_bool(cOMBB_610033911bool_a(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_a_pname(X2,X3)))). 0.56/0.83 cnf(i_0_1134, plain, (hAPP_pname_bool(cOMBB_647938656_pname(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)))). 0.56/0.83 cnf(i_0_1042, plain, (hAPP_a_bool(cOMBB_bool_bool_a(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_a_bool(X2,X3)))). 0.56/0.83 cnf(i_0_1162, plain, (hAPP_f800510211t_bool(cOMBB_1250273980t_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_f22106695ol_nat(X2,X3)))). 0.56/0.83 cnf(i_0_776, plain, (hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_a_nat(X2,X3)))). 0.56/0.83 cnf(i_0_1048, plain, (hAPP_a1392362872l_bool(cOMBB_743407885bool_a(X1,X2),X3)=hAPP_f103356543l_bool(X1,hAPP_a_fun_nat_bool(X2,X3)))). 0.56/0.83 cnf(i_0_494, plain, (hAPP_f282463732t_bool(cOMBB_164527437a_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_fun_a_bool_nat(X2,X3)))). 0.56/0.83 cnf(i_0_98, plain, (hAPP_f759274231e_bool(cOMBB_598082538e_bool(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_f1297739591_pname(X2,X3)))). 0.56/0.83 cnf(i_0_130, plain, (hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_f921600141ol_nat(X2,X3)))). 0.56/0.83 cnf(i_0_446, plain, (hAPP_p1499970991t_bool(cOMBB_523834888_pname(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_pname_nat(X2,X3)))). 0.56/0.83 cnf(i_0_648, plain, (hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)))). 0.56/0.83 cnf(i_0_1201, plain, (hAPP_p393069232l_bool(cOMBB_675860798_pname(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)))). 0.56/0.83 cnf(i_0_1153, plain, (hAPP_f1748468828l_bool(cOMBB_444170502t_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_f54304608l_bool(X2,X3)))). 0.56/0.83 cnf(i_0_850, plain, (hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_94, plain, (hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f282463732t_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_978, plain, (hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(X1),X2),X3)=hAPP_f621171935l_bool(hAPP_f285962445l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_794, plain, (hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_p1499970991t_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_512, plain, (hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_f1794073134e_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1329, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))))). 0.56/0.83 cnf(i_0_812, plain, (hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_843, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))))). 0.56/0.83 cnf(i_0_16, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1)))). 0.56/0.83 cnf(i_0_1197, plain, (hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_f759274231e_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1144, plain, (hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_729, plain, (hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_135, plain, (hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_f654413245e_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1155, plain, (hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_n1025906991e_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_954, plain, (hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1061, plain, (hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(X1),X2),X3)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1249, plain, (hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_424, plain, (hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_nat_fun_a_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_157, plain, (hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1068, plain, (hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_p1534023578a_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_241, plain, (hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1323, plain, (hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1291, plain, (hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f1066163005t_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_216, plain, (hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1),X2),X3)=hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1224, hypothesis, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,na),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))))). 0.56/0.83 cnf(i_0_669, plain, (hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1159, plain, (hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f800510211t_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_740, plain, (hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(X1),X2),X3)=hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_12, plain, (hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_a93125764e_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_77, plain, (hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_a1392362872l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_313, plain, (hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_a217006258l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_370, plain, (hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_a_fun_nat_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_483, plain, (hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1),X2),X3)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_103, plain, (hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(X1),X2),X3)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_727, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(suc,X2))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2)))). 0.56/0.83 cnf(i_0_573, plain, (hAPP_bool_bool(hAPP_f198738859l_bool(X1,X2),hAPP_fun_a_bool_bool(X3,X2))=hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_368, plain, (hAPP_bool_bool(hAPP_a_fun_bool_bool(X1,X2),hAPP_a_bool(X3,X2))=hAPP_a_bool(cOMBS_a_bool_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_592, plain, (hAPP_bool_bool(hAPP_n1006566506l_bool(X1,X2),hAPP_nat_bool(X3,X2))=hAPP_nat_bool(cOMBS_nat_bool_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1232, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,X1)),X2)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2)))). 0.56/0.83 cnf(i_0_116, hypothesis, (hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na))=hAPP_fun_a_bool_nat(finite_card_a,g))). 0.56/0.83 cnf(i_0_1066, plain, (hAPP_bool_bool(hAPP_f1748468828l_bool(X1,X2),hAPP_f54304608l_bool(X3,X2))=hAPP_f54304608l_bool(cOMBS_1187019125l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_1185, plain, (hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X2),hAPP_f1664156314l_bool(X3,X2))=hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_684, plain, (hAPP_bool_bool(hAPP_p393069232l_bool(X1,X2),hAPP_pname_bool(X3,X2))=hAPP_pname_bool(cOMBS_568398431l_bool(X1,X3),X2))). 0.56/0.83 cnf(i_0_574, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))=hAPP_nat_nat(minus_minus_nat(X1),X2))). 0.56/0.83 cnf(i_0_1318, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X2),X1)))))). 0.56/0.83 cnf(i_0_7, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2)))))). 0.56/0.83 cnf(i_0_1351, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(suc,X1))))). 0.56/0.83 cnf(i_0_354, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X2)))))). 0.56/0.83 cnf(i_0_806, plain, (hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))). 0.56/0.83 cnf(i_0_736, plain, (hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)=hAPP_n1699378549t_bool(fequal_nat,X1))). 0.56/0.83 cnf(i_0_872, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)=hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))). 0.56/0.83 cnf(i_0_456, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)=hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))). 0.56/0.83 cnf(i_0_725, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3))=hAPP_nat_nat(minus_minus_nat(X2),X3))). 0.56/0.83 cnf(i_0_575, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2))=hAPP_nat_nat(minus_minus_nat(X1),X3))). 0.56/0.83 cnf(i_0_982, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),bot_bo1389914601l_bool)))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)))). 0.56/0.83 cnf(i_0_793, plain, (collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)))). 0.56/0.83 cnf(i_0_1040, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)))). 0.56/0.83 cnf(i_0_246, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)))). 0.56/0.83 cnf(i_0_1001, plain, (collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)))). 0.56/0.83 cnf(i_0_15, plain, (collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)))). 0.56/0.83 cnf(i_0_148, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)))))). 0.56/0.83 cnf(i_0_334, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))))). 0.56/0.83 cnf(i_0_902, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X1,X3))))=image_pname_a(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))). 0.56/0.83 cnf(i_0_603, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2))=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))). 0.56/0.83 cnf(i_0_1354, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2)=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))). 0.56/0.83 cnf(i_0_625, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))))). 0.56/0.83 cnf(i_0_82, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))))). 0.56/0.83 cnf(i_0_896, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_nat_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_nat_a(X1,X3))))=image_nat_a(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))). 0.56/0.83 cnf(i_0_577, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),collect_fun_a_bool(X2))))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))),X2)))). 0.56/0.83 cnf(i_0_187, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(X2))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2)))). 0.56/0.83 cnf(i_0_542, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),collec1974731493e_bool(X2))))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2)))). 0.56/0.83 cnf(i_0_1200, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,hAPP_a_nat(X1,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_a_nat(X1,X3)))=image_a_nat(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))). 0.56/0.83 cnf(i_0_239, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_a_pname(X1,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_a_pname(X1,X3))))=image_a_pname(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))). 0.56/0.83 cnf(i_0_74, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))). 0.56/0.83 cnf(i_0_305, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))). 0.56/0.83 cnf(i_0_580, plain, (hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X1)))). 0.56/0.83 cnf(i_0_811, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1),X1)))). 0.56/0.83 cnf(i_0_545, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X1)))). 0.56/0.83 cnf(i_0_588, plain, (hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1)))). 0.56/0.83 cnf(i_0_118, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X1)))). 0.56/0.83 cnf(i_0_772, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X1),X1)))). 0.56/0.83 cnf(i_0_301, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),bot_bo1701429464l_bool)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))). 0.56/0.83 cnf(i_0_1028, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),bot_bot_fun_nat_bool))=hAPP_n1699378549t_bool(fequal_nat,X1))). 0.56/0.83 cnf(i_0_194, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)),X1)))). 0.56/0.83 cnf(i_0_516, plain, (hAPP_nat_nat(plus_plus_nat(X1),X2)=hAPP_nat_nat(plus_plus_nat(X2),X1))). 0.56/0.83 cnf(i_0_716, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))=hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X3)))). 0.56/0.83 cnf(i_0_45, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))). 0.56/0.83 cnf(i_0_538, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)))))). 0.56/0.83 cnf(i_0_294, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))). 0.56/0.83 cnf(i_0_1076, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X2)))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X1))))). 0.56/0.83 cnf(i_0_165, plain, (~hBOOL(fFalse))). 0.56/0.83 cnf(i_0_558, hypothesis, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)))). 0.56/0.83 cnf(i_0_1305, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))). 0.56/0.83 cnf(i_0_217, plain, (hAPP_nat_nat(suc,X1)!=zero_zero_nat)). 0.56/0.83 cnf(i_0_316, plain, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),bot_bot_fun_a_bool)))). 0.56/0.83 cnf(i_0_44, plain, (hAPP_nat_nat(suc,X1)!=X1)). 0.56/0.83 cnf(i_0_124, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))!=bot_bot_fun_a_bool)). 0.56/0.83 cnf(i_0_490, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)))). 0.56/0.83 cnf(i_0_714, plain, (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)))). 0.56/0.83 cnf(i_0_304, plain, (~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),bot_bot_fun_nat_bool)))). 0.56/0.83 cnf(i_0_306, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)))). 0.56/0.83 cnf(i_0_1223, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)))). 0.56/0.83 cnf(i_0_1057, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)))). 0.56/0.83 cnf(i_0_595, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))!=bot_bo844097828e_bool)). 0.56/0.83 cnf(i_0_89, plain, (~hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X1)))). 0.56/0.83 cnf(i_0_383, plain, (~hBOOL(hAPP_f54304608l_bool(bot_bo1701429464l_bool,X1)))). 0.56/0.83 cnf(i_0_317, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))!=bot_bot_fun_nat_bool)). 0.56/0.83 cnf(i_0_689, plain, (~hBOOL(hAPP_bool_bool(fNot,X1))|~hBOOL(X1))). 0.56/0.83 cnf(i_0_1023, plain, (collect_a(X1)=X1|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_1233, plain, (collec1974731493e_bool(X1)=X1|~is_fun1661590463l_bool(X1))). 0.56/0.83 cnf(i_0_302, plain, (collect_fun_a_bool(X1)=X1|~is_fun949378684l_bool(X1))). 0.56/0.83 cnf(i_0_536, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X1)))). 0.56/0.83 cnf(i_0_65, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)))). 0.56/0.83 cnf(i_0_81, plain, (X1=fFalse|X1=fTrue|~is_bool(X1))). 0.56/0.83 cnf(i_0_93, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X1)))). 0.56/0.83 cnf(i_0_1047, plain, (is_fun_a_bool(collect_a(X1))|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_476, plain, (collect_pname(X1)=X1|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1246, plain, (is_fun_pname_bool(collect_pname(X1))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_215, plain, (is_fun_pname_bool(cOMBK_bool_pname(X1))|~is_bool(X1))). 0.56/0.83 cnf(i_0_610, plain, (collect_pname(X1)=bot_bo844097828e_bool|is_pname(esk49_1(X1)))). 0.56/0.83 cnf(i_0_1328, plain, (is_fun1661590463l_bool(collec1974731493e_bool(X1))|~is_fun1661590463l_bool(X1))). 0.56/0.83 cnf(i_0_1196, plain, (is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))|~is_bool(X1))). 0.56/0.83 cnf(i_0_228, plain, (is_fun_a_bool(cOMBK_bool_a(X1))|~is_bool(X1))). 0.56/0.83 cnf(i_0_827, plain, (is_fun949378684l_bool(collect_fun_a_bool(X1))|~is_fun949378684l_bool(X1))). 0.56/0.83 cnf(i_0_537, plain, (hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X1))|~hBOOL(bot_bot_bool))). 0.56/0.83 cnf(i_0_964, plain, (collect_pname(X1)=bot_bo844097828e_bool|is_pname(esk88_1(X1)))). 0.56/0.83 cnf(i_0_1168, plain, (is_fun949378684l_bool(cOMBK_324466864a_bool(X1))|~is_bool(X1))). 0.56/0.83 cnf(i_0_1098, plain, (is_fun949378684l_bool(p(X1))|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_608, plain, (collect_pname(X1)!=bot_bo844097828e_bool|~is_pname(X2)|~hBOOL(hAPP_pname_bool(X1,X2)))). 0.56/0.83 cnf(i_0_66, plain, (hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))|~hBOOL(bot_bot_bool))). 0.56/0.83 cnf(i_0_92, plain, (hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X1))|~hBOOL(bot_bot_bool))). 0.56/0.83 cnf(i_0_1157, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|is_fun_pname_bool(esk108_1(X1)))). 0.56/0.83 cnf(i_0_361, plain, (collect_a(X1)!=bot_bot_fun_a_bool|~hBOOL(hAPP_a_bool(X1,X2))|~is_a(X2))). 0.56/0.83 cnf(i_0_1217, plain, (X1=bot_bot_fun_a_bool|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),bot_bot_fun_a_bool)))). 0.56/0.83 cnf(i_0_500, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|is_fun_a_bool(esk42_1(X1)))). 0.56/0.83 cnf(i_0_1143, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|is_fun_a_bool(esk106_1(X1)))). 0.56/0.83 cnf(i_0_458, plain, (hBOOL(hAPP_bool_bool(fNot,X1))|hBOOL(X1))). 0.56/0.83 cnf(i_0_922, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X2),X1)))))). 0.56/0.83 cnf(i_0_923, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1),X2)))))). 0.56/0.83 cnf(i_0_360, plain, (collect_a(X1)=bot_bot_fun_a_bool|is_a(esk29_1(X1)))). 0.56/0.83 cnf(i_0_252, hypothesis, (is_a(hAPP_pname_a(X1,X2))|~is_pname(X2))). 0.56/0.83 cnf(i_0_703, plain, (collect_a(X1)=bot_bot_fun_a_bool|is_a(esk64_1(X1)))). 0.56/0.83 cnf(i_0_197, plain, (bot_bo844097828e_bool=X1|image_pname_a(X2,X1)!=bot_bot_fun_a_bool|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1298, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)))). 0.56/0.83 cnf(i_0_1214, hypothesis, (is_fun_a_bool(image_pname_a(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_733, plain, (is_fun_a_bool(hAPP_a_fun_a_bool(X1,X2))|~is_a(X2))). 0.56/0.83 cnf(i_0_927, plain, (is_fun_a_bool(hAPP_f2050579477a_bool(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_421, plain, (is_fun_a_bool(cOMBS_a_bool_bool(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_1302, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|is_fun_pname_bool(esk126_1(X1)))). 0.56/0.83 cnf(i_0_906, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)))). 0.56/0.83 cnf(i_0_1158, plain, (collec1974731493e_bool(X1)!=bot_bo1649642514l_bool|~hBOOL(hAPP_f1664156314l_bool(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_501, plain, (collect_fun_a_bool(X1)!=bot_bo1389914601l_bool|~is_fun_a_bool(X2)|~hBOOL(hAPP_fun_a_bool_bool(X1,X2)))). 0.56/0.83 cnf(i_0_221, hypothesis, (is_fun949378684l_bool(hAPP_f1631501043l_bool(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_779, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_1112, plain, (X1=bot_bo844097828e_bool|is_pname(esk99_1(X1))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1, plain, (is_fun_pname_bool(hAPP_a93125764e_bool(X1,X2))|~is_a(X2))). 0.56/0.83 cnf(i_0_551, plain, (hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(X1),X2)=X1|~is_bool(X1))). 0.56/0.83 cnf(i_0_75, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_a_bool(X2,X1)))). 0.56/0.83 cnf(i_0_136, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))))). 0.56/0.83 cnf(i_0_1199, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)))). 0.56/0.83 cnf(i_0_696, plain, (X1=bot_bot_fun_a_bool|is_a(esk62_1(X1))|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_868, plain, (hAPP_pname_a(cOMBK_a_pname(X1),X2)=X1|~is_a(X1))). 0.56/0.83 cnf(i_0_1236, plain, (is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))|~is_pname(X2))). 0.56/0.83 cnf(i_0_485, plain, (is_fun_pname_bool(image_1283814551_pname(X1,X2))|~is_fun1661590463l_bool(X2))). 0.56/0.83 cnf(i_0_809, plain, (is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_489, plain, (is_fun_pname_bool(image_1854862208_pname(X1,X2))|~is_fun949378684l_bool(X2))). 0.56/0.83 cnf(i_0_1010, plain, (hBOOL(X1)|hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X2),X1)))). 0.56/0.83 cnf(i_0_1345, plain, (X1=bot_bot_fun_a_bool|is_a(esk133_1(X1))|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_699, plain, (is_fun_pname_bool(cOMBB_647938656_pname(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_312, plain, (is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_741, plain, (is_fun_pname_bool(image_a_pname(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_1312, plain, (is_fun_pname_bool(image_pname_pname(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_718, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2)))). 0.56/0.83 cnf(i_0_76, plain, (hBOOL(hAPP_a_bool(X1,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)))). 0.56/0.83 cnf(i_0_32, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),bot_bot_bool))|~hBOOL(bot_bot_bool))). 0.56/0.83 cnf(i_0_1016, plain, (bot_bo844097828e_bool=X1|is_pname(esk94_1(X1))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1276, plain, (is_fun_pname_bool(hAPP_f1794073134e_bool(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_1095, plain, (is_a(hAPP_a_a(X1,X2))|~is_a(X2))). 0.56/0.83 cnf(i_0_53, plain, (is_pname(hAPP_f1297739591_pname(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_1322, plain, (is_pname(hAPP_a_pname(X1,X2))|~is_a(X2))). 0.56/0.83 cnf(i_0_31, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),bot_bot_bool))|~hBOOL(X1))). 0.56/0.83 cnf(i_0_78, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1))|~hBOOL(X2))). 0.56/0.83 cnf(i_0_1341, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_556, plain, (hAPP_nat_bool(cOMBK_bool_nat(X1),X2)=X1|~is_bool(X1))). 0.56/0.83 cnf(i_0_1033, plain, (is_pname(hAPP_pname_pname(X1,X2))|~is_pname(X2))). 0.56/0.83 cnf(i_0_1094, plain, (is_pname(hAPP_f1128469712_pname(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_628, plain, (is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_1064, plain, (is_fun1661590463l_bool(hAPP_a217006258l_bool(X1,X2))|~is_a(X2))). 0.56/0.83 cnf(i_0_229, plain, (X1=bot_bot_fun_nat_bool|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),bot_bot_fun_nat_bool)))). 0.56/0.83 cnf(i_0_869, plain, (X1=zero_zero_nat|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)))). 0.56/0.83 cnf(i_0_622, plain, (hAPP_pname_bool(cOMBK_bool_pname(X1),X2)=X1|~is_bool(X1))). 0.56/0.83 cnf(i_0_862, hypothesis, (is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))|~is_pname(X2))). 0.56/0.83 cnf(i_0_190, plain, (is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))|~is_fun1661590463l_bool(X2))). 0.56/0.83 cnf(i_0_1247, plain, (is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2))|~is_fun1661590463l_bool(X2))). 0.56/0.83 cnf(i_0_115, plain, (is_fun1661590463l_bool(image_47868345e_bool(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_929, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X2),X1)))). 0.56/0.83 cnf(i_0_153, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X2),X1)))). 0.56/0.83 cnf(i_0_107, plain, (hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2)=X1|~is_bool(X1))). 0.56/0.83 cnf(i_0_1219, plain, (is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2))|~is_fun1661590463l_bool(X2))). 0.56/0.83 cnf(i_0_572, plain, (is_fun1661590463l_bool(image_819518260e_bool(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_1087, plain, (is_fun_a_bool(hAPP_p1534023578a_bool(X1,X2))|~is_pname(X2))). 0.56/0.83 cnf(i_0_256, plain, (is_fun_a_bool(cOMBB_bool_bool_a(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_593, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))|~hBOOL(X2))). 0.56/0.83 cnf(i_0_1109, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))|~hBOOL(X1))). 0.56/0.83 cnf(i_0_865, plain, (hAPP_f54304608l_bool(cOMBK_1994329625t_bool(X1),X2)=X1|~is_bool(X1))). 0.56/0.83 cnf(i_0_816, plain, (is_fun_a_bool(image_876012084bool_a(X1,X2))|~is_fun1661590463l_bool(X2))). 0.56/0.83 cnf(i_0_1123, plain, (is_fun_a_bool(hAPP_f1051908748a_bool(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_1348, plain, (is_fun_a_bool(image_a_a(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_823, plain, (is_fun_a_bool(image_fun_a_bool_a(X1,X2))|~is_fun949378684l_bool(X2))). 0.56/0.83 cnf(i_0_1290, plain, (is_bool(hAPP_bool_bool(X1,X2))|~is_bool(X2))). 0.56/0.83 cnf(i_0_39, plain, (is_bool(hAPP_f1935102916l_bool(X1,X2))|~is_fun1661590463l_bool(X2))). 0.56/0.83 cnf(i_0_1051, plain, (is_bool(hAPP_f621171935l_bool(X1,X2))|~is_fun949378684l_bool(X2))). 0.56/0.83 cnf(i_0_647, plain, (is_fun949378684l_bool(cOMBS_1035972772l_bool(X1,X2))|~is_fun949378684l_bool(X2))). 0.56/0.83 cnf(i_0_977, plain, (hAPP_a_bool(cOMBK_bool_a(X1),X2)=X1|~is_bool(X1))). 0.56/0.83 cnf(i_0_1115, hypothesis, (is_fun949378684l_bool(hAPP_a85458249l_bool(X1,X2))|~is_a(X2))). 0.56/0.83 cnf(i_0_898, plain, (is_fun949378684l_bool(hAPP_f2117159681l_bool(X1,X2))|~is_fun949378684l_bool(X2))). 0.56/0.83 cnf(i_0_666, plain, (is_fun949378684l_bool(hAPP_p1824510254l_bool(X1,X2))|~is_pname(X2))). 0.56/0.83 cnf(i_0_420, plain, (is_fun949378684l_bool(image_a_fun_a_bool(X1,X2))|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_436, plain, (is_fun949378684l_bool(cOMBB_2140588453a_bool(X1,X2))|~is_fun949378684l_bool(X2))). 0.56/0.83 cnf(i_0_509, plain, (is_fun949378684l_bool(image_112932426a_bool(X1,X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_830, hypothesis, (is_bool(hAPP_fun_a_bool_bool(X1,X2))|~is_fun949378684l_bool(X1)|~is_fun_a_bool(X2))). 0.56/0.83 cnf(i_0_269, plain, (X1=bot_bo844097828e_bool|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_338, plain, (X1=X2|hAPP_nat_nat(suc,X1)!=hAPP_nat_nat(suc,X2))). 0.56/0.83 cnf(i_0_499, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X1,esk42_1(X1))))). 0.56/0.83 cnf(i_0_1142, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X1,esk106_1(X1))))). 0.56/0.83 cnf(i_0_242, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk15_2(X2,X1)),X2)))). 0.56/0.83 cnf(i_0_719, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))),X2)))). 0.56/0.83 cnf(i_0_137, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_88, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(X1,esk5_1(X1))))). 0.56/0.83 cnf(i_0_773, plain, (is_bool(hAPP_pname_bool(X1,X2))|~is_pname(X2)|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1041, hypothesis, (is_bool(hAPP_f1664156314l_bool(X1,X2))|~is_fun1661590463l_bool(X1)|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_1114, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(X1,esk100_1(X1))))). 0.56/0.83 cnf(i_0_861, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_359, plain, (collect_a(X1)=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X1,esk29_1(X1))))). 0.56/0.83 cnf(i_0_702, plain, (collect_a(X1)=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X1,esk64_1(X1))))). 0.56/0.83 cnf(i_0_384, plain, (bot_bo1701429464l_bool=X1|hBOOL(hAPP_f54304608l_bool(X1,esk31_1(X1))))). 0.56/0.83 cnf(i_0_471, plain, (is_bool(hAPP_a_bool(X1,X2))|~is_fun_a_bool(X1)|~is_a(X2))). 0.56/0.83 cnf(i_0_903, plain, (hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1)))). 0.56/0.83 cnf(i_0_1317, plain, (bot_bo1701429464l_bool=X1|hBOOL(hAPP_f54304608l_bool(X1,esk128_1(X1))))). 0.56/0.83 cnf(i_0_1091, plain, (X1=X2|~hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X2))|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_619, plain, (hBOOL(hAPP_pname_bool(X1,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)))). 0.56/0.83 cnf(i_0_362, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_a_a(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_609, plain, (collect_pname(X1)=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X1,esk49_1(X1))))). 0.56/0.83 cnf(i_0_498, plain, (X1=X2|hAPP_nat_nat(plus_plus_nat(X3),X1)!=hAPP_nat_nat(plus_plus_nat(X3),X2))). 0.56/0.83 cnf(i_0_120, plain, (X1=X2|hAPP_nat_nat(plus_plus_nat(X1),X3)!=hAPP_nat_nat(plus_plus_nat(X2),X3))). 0.56/0.83 cnf(i_0_618, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_pname_bool(X2,X1)))). 0.56/0.83 cnf(i_0_519, plain, (X1=X2|~is_pname(X2)|~is_pname(X1)|~hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2)))). 0.56/0.83 cnf(i_0_963, plain, (collect_pname(X1)=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X1,esk88_1(X1))))). 0.56/0.83 cnf(i_0_1297, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3)))). 0.56/0.83 cnf(i_0_546, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X2))))). 0.56/0.83 cnf(i_0_547, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1))))). 0.56/0.83 cnf(i_0_853, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_1156, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X1,esk108_1(X1))))). 0.56/0.83 cnf(i_0_1301, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X1,esk126_1(X1))))). 0.56/0.83 cnf(i_0_866, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))). 0.56/0.83 cnf(i_0_172, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))|~hBOOL(X2))). 0.56/0.83 cnf(i_0_87, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|is_a(esk4_2(X1,X2)))). 0.56/0.83 cnf(i_0_244, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|is_a(esk15_2(X2,X1)))). 0.56/0.83 cnf(i_0_616, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2)))). 0.56/0.83 cnf(i_0_349, plain, (zero_zero_nat=X1|X2=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat)). 0.56/0.83 cnf(i_0_156, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|hAPP_nat_nat(minus_minus_nat(X1),X2)!=zero_zero_nat)). 0.56/0.83 cnf(i_0_924, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1))))). 0.56/0.83 cnf(i_0_1283, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_nat_a(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_897, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))|hBOOL(X1))). 0.56/0.83 cnf(i_0_379, plain, (X1=X2|hAPP_nat_nat(minus_minus_nat(X2),X1)!=zero_zero_nat|hAPP_nat_nat(minus_minus_nat(X1),X2)!=zero_zero_nat)). 0.56/0.83 cnf(i_0_1324, plain, (X1=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_640, plain, (X1=X2|~is_fun_a_bool(X2)|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1),X2)))). 0.56/0.83 cnf(i_0_1043, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_876012084bool_a(X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_807, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_fun_nat_bool_a(X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_990, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_fun_a_bool_a(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_1161, hypothesis, (is_fun_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))|~is_fun_a_bool(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_278, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X2),X1))))). 0.56/0.83 cnf(i_0_277, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X1),X2))))). 0.56/0.83 cnf(i_0_47, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X2),X1))))). 0.56/0.83 cnf(i_0_48, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2))))). 0.56/0.83 cnf(i_0_632, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk53_2(X2,X1)),X2)))). 0.56/0.83 cnf(i_0_1271, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk121_2(X1,X2)),X2)))). 0.56/0.83 cnf(i_0_1128, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk102_2(X1,X2)),X2)))). 0.56/0.83 cnf(i_0_1315, plain, (hBOOL(wt(the_com(body(X1))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),u)))). 0.56/0.83 cnf(i_0_300, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))=X2|~is_fun_a_bool(X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2)))). 0.56/0.83 cnf(i_0_155, plain, (hAPP_nat_nat(minus_minus_nat(X1),X2)=zero_zero_nat|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_623, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_891, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_198, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_351, plain, (one_one_nat=X1|X1=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X2),X1)!=one_one_nat)). 0.56/0.83 cnf(i_0_41, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_926, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_331, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(X1)|~hBOOL(X2))). 0.56/0.83 cnf(i_0_1208, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_1172, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_548, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))). 0.56/0.83 cnf(i_0_1363, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X1)),X2))=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X2,X1)))). 0.56/0.83 cnf(i_0_299, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),X1))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1)))). 0.56/0.83 cnf(i_0_25, plain, (one_one_nat=X1|zero_zero_nat=X1|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat)). 0.56/0.83 cnf(i_0_175, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_1058, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),X2))=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X2,X1)))). 0.56/0.83 cnf(i_0_80, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_123, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_1009, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_1163, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1021, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_181, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_455, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_164, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_1116, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_1124, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_23, plain, (one_one_nat=X1|X2=one_one_nat|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat)). 0.56/0.83 cnf(i_0_587, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_822, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_904, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_nat_bool(X2,X1)))). 0.56/0.83 cnf(i_0_154, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_695, plain, (X1=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk62_1(X1)),X1))|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_1346, plain, (X1=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk133_1(X1)),X1))|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_330, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|hBOOL(X2)|hBOOL(X1))). 0.56/0.83 cnf(i_0_189, plain, (X1=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X2))))|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_34, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)))). 0.56/0.83 cnf(i_0_363, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3)))). 0.56/0.83 cnf(i_0_220, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))))). 0.56/0.83 cnf(i_0_626, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk52_1(X1)),X1)))). 0.56/0.83 cnf(i_0_1181, plain, (is_a(esk111_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_a_nat(X2,X3))))). 0.56/0.83 cnf(i_0_969, plain, (is_pname(esk89_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_pname_nat(X2,X3))))). 0.56/0.83 cnf(i_0_1252, plain, (bot_bot_fun_nat_bool=X1|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk118_1(X1)),X1)))). 0.56/0.83 cnf(i_0_227, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X2)),image_pname_a(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)))). 0.56/0.83 cnf(i_0_243, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk15_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)))). 0.56/0.83 cnf(i_0_717, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3)))). 0.56/0.83 cnf(i_0_397, plain, (is_pname(esk32_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2)))). 0.56/0.83 cnf(i_0_1072, plain, (is_fun_a_bool(esk96_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3))))). 0.56/0.83 cnf(i_0_146, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_1193, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X2),X1)))))). 0.56/0.83 cnf(i_0_1192, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))))). 0.56/0.83 cnf(i_0_645, plain, (is_pname(esk57_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)))). 0.56/0.83 cnf(i_0_468, plain, (X1=X2|collect_a(hAPP_a_fun_a_bool(fequal_a,X1))!=collect_a(hAPP_a_fun_a_bool(fequal_a,X2))|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_245, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3)))). 0.56/0.83 cnf(i_0_630, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X2),X1)))))). 0.56/0.83 cnf(i_0_629, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))))). 0.56/0.83 cnf(i_0_30, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X2),X1)))))). 0.56/0.83 cnf(i_0_29, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X1),X2)))))). 0.56/0.83 cnf(i_0_584, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X2)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,esk48_3(X1,X3,X2))),X3)))). 0.56/0.83 cnf(i_0_64, plain, (X1=X2|~is_fun_a_bool(X2)|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)))). 0.56/0.83 cnf(i_0_586, plain, (is_pname(esk48_3(X1,X2,X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_1268, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk120_2(X2,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2,X1))))). 0.56/0.83 cnf(i_0_607, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))). 0.56/0.83 cnf(i_0_1330, plain, (is_fun_pname_bool(esk129_3(X1,X2,X3))|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3))))). 0.56/0.83 cnf(i_0_678, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))). 0.56/0.83 cnf(i_0_329, plain, (is_pname(esk25_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X1,X2))))). 0.56/0.83 cnf(i_0_746, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X2)),image_pname_a(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))). 0.56/0.83 cnf(i_0_131, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))|~hBOOL(X2))). 0.56/0.83 cnf(i_0_377, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk30_2(X2,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X2,X1))))). 0.56/0.83 cnf(i_0_513, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk43_2(X2,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X2,X1))))). 0.56/0.83 cnf(i_0_687, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk61_2(X2,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X2,X1))))). 0.56/0.83 cnf(i_0_713, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk65_2(X2,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X2,X1))))). 0.56/0.83 cnf(i_0_838, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk76_2(X2,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X2,X1))))). 0.56/0.83 cnf(i_0_1347, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_59, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1294, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))))). 0.56/0.83 cnf(i_0_976, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_1046, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_nat_pname(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_571, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_589, plain, (X1=collect_a(hAPP_a_fun_a_bool(fequal_a,X2))|X1=bot_bot_fun_a_bool|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X2)))))). 0.56/0.83 cnf(i_0_1362, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X1)),X2))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_a_bool(X2,X1)))). 0.56/0.83 cnf(i_0_757, plain, (is_pname(esk69_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))). 0.56/0.83 cnf(i_0_883, plain, (is_pname(esk79_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))). 0.56/0.83 cnf(i_0_492, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1921560913_pname(X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_617, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1854862208_pname(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_1225, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_pname_nat(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_200, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_nat_nat(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1059, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),X2))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_a_bool(X2,X1)))). 0.56/0.83 cnf(i_0_114, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_1551609309ol_nat(X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_163, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_496248727ol_nat(X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_1209, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_fun_a_bool_nat(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_704, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_47868345e_bool(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_961, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_1655916159e_bool(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_340, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),image_2129980159t_bool(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_947, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),image_26036933t_bool(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_907, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),image_112932426a_bool(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_728, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)))). 0.56/0.83 cnf(i_0_643, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X2,X1)),X2)))). 0.56/0.83 cnf(i_0_222, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk11_2(X2,X1)),X2)))). 0.56/0.83 cnf(i_0_1331, plain, (image_pname_a(X1,esk129_3(X2,X1,X3))=X2|~is_fun_a_bool(X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_pname_a(X1,X3))))). 0.56/0.83 cnf(i_0_178, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),image_nat_fun_a_bool(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_916, plain, (is_fun_a_bool(esk84_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_651, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),X2)))). 0.56/0.83 cnf(i_0_971, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))). 0.56/0.83 cnf(i_0_985, plain, (image_pname_a(cOMBK_a_pname(X1),X2)=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|X2=bot_bo844097828e_bool|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_952, plain, (hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))),X3))|~hBOOL(hAPP_a_bool(X2,X3))|~is_a(X1)|~is_a(X3))). 0.56/0.83 cnf(i_0_461, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk39_3(X1,X2,X3)))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1111, plain, (X1=bot_bo844097828e_bool|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk99_1(X1)),X1))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_413, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))). 0.56/0.83 cnf(i_0_1308, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|is_fun_pname_bool(esk127_2(X2,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2,X1))))). 0.56/0.83 cnf(i_0_1015, plain, (bot_bo844097828e_bool=X1|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk94_1(X1)),X1))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1360, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|is_fun_pname_bool(esk134_2(X2,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2,X1))))). 0.56/0.83 cnf(i_0_259, plain, (is_pname(esk17_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2))))). 0.56/0.83 cnf(i_0_341, plain, (is_pname(esk28_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2))))). 0.56/0.83 cnf(i_0_785, plain, (is_pname(esk73_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1,X2))))). 0.56/0.83 cnf(i_0_788, plain, (is_pname(esk74_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1,X2))))). 0.56/0.83 cnf(i_0_803, plain, (is_pname(esk75_2(X1,X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1,X2))))). 0.56/0.83 cnf(i_0_318, plain, (is_fun_a_bool(esk24_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1,X2))))). 0.56/0.83 cnf(i_0_482, plain, (is_fun_a_bool(esk41_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X1,X2))))). 0.56/0.83 cnf(i_0_932, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X2)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X1,esk85_3(X1,X3,X2))),X3)))). 0.56/0.83 cnf(i_0_895, plain, (hAPP_nat_nat(suc,esk82_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_1170, plain, (hAPP_nat_nat(suc,esk110_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)))). 0.56/0.83 cnf(i_0_767, plain, (is_fun_pname_bool(esk71_3(X1,X2,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_1207, plain, (is_fun_a_bool(esk114_3(X1,X2,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_804, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)))). 0.56/0.83 cnf(i_0_162, plain, (hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)))). 0.56/0.83 cnf(i_0_283, plain, (hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))). 0.56/0.83 cnf(i_0_1175, plain, (hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),X1))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1)))). 0.56/0.83 cnf(i_0_998, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_999, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))). 0.56/0.83 cnf(i_0_463, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_464, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))). 0.56/0.83 cnf(i_0_697, plain, (hAPP_nat_nat(plus_plus_nat(X1),esk63_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_267, plain, (is_fun_pname_bool(esk18_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_552, plain, (is_fun1661590463l_bool(esk45_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_761, plain, (is_fun_a_bool(esk70_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_532, plain, (is_fun_pname_bool(esk44_3(X1,X2,X3))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1073, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk96_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3))))). 0.56/0.83 cnf(i_0_884, plain, (hAPP_pname_a(X1,esk79_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X1,X3)))|~is_a(X2))). 0.56/0.83 cnf(i_0_756, plain, (hAPP_pname_a(X1,esk69_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X1,X3)))|~is_a(X2))). 0.56/0.83 cnf(i_0_111, plain, (is_fun949378684l_bool(esk6_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1194, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))))). 0.56/0.83 cnf(i_0_953, plain, (X1=X2|hBOOL(hAPP_a_bool(X3,X2))|~hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))),X2))|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_1053, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X2)),image_nat_a(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)))). 0.56/0.83 cnf(i_0_158, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X1)),X2)=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(X2,X1)))). 0.56/0.83 cnf(i_0_431, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|is_fun_pname_bool(esk36_2(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_432, plain, (is_fun1661590463l_bool(esk37_2(X1,X2))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1140, plain, (is_fun_a_bool(esk104_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_1139, plain, (is_fun949378684l_bool(esk105_2(X1,X2))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_583, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),X2)=bot_bo1701429464l_bool|hBOOL(hAPP_f54304608l_bool(X2,X1)))). 0.56/0.83 cnf(i_0_1267, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk120_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X1,X2))))). 0.56/0.83 cnf(i_0_177, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_658, plain, (is_fun_pname_bool(esk58_3(X1,X2,X3))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_880, plain, (is_fun_pname_bool(esk78_3(X1,X2,X3))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_1037, plain, (is_fun_a_bool(esk95_3(X1,X2,X3))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_1186, plain, (is_fun_a_bool(esk112_3(X1,X2,X3))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_710, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)),X2))=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X2,X1)))). 0.56/0.83 cnf(i_0_715, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X1,X3))))=image_pname_a(X1,X3)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))). 0.56/0.83 cnf(i_0_292, plain, (is_fun1661590463l_bool(esk22_3(X1,X2,X3))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_459, plain, (is_fun_a_bool(esk39_3(X1,X2,X3))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_633, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk53_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_439, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2)))). 0.56/0.83 cnf(i_0_133, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(X1,esk7_3(X3,X1,X2)))|~hBOOL(hAPP_nat_bool(X1,X2)))). 0.56/0.83 cnf(i_0_722, plain, (hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(X1,esk66_3(X1,X2,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(X1,X3)))). 0.56/0.83 cnf(i_0_171, plain, (X1=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1129, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk102_2(X1,X2)),X1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))). 0.56/0.83 cnf(i_0_1108, plain, (is_fun949378684l_bool(esk98_3(X1,X2,X3))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_207, plain, (X1=X2|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_279, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X1),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_1272, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk121_2(X1,X2)),X1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))). 0.56/0.83 cnf(i_0_957, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X2)),X3))|is_a(esk86_3(X1,X3,X2)))). 0.56/0.83 cnf(i_0_49, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))). 0.56/0.83 cnf(i_0_375, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk30_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X1,X2))))). 0.56/0.83 cnf(i_0_514, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk43_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X1,X2))))). 0.56/0.83 cnf(i_0_685, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk61_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X1,X2))))). 0.56/0.83 cnf(i_0_1231, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X2)),X3))|is_a(esk116_3(X1,X3,X2)))). 0.56/0.83 cnf(i_0_127, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))))). 0.56/0.83 cnf(i_0_849, plain, (is_pname(esk77_3(X1,X2,X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_712, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk65_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X1,X2))))). 0.56/0.83 cnf(i_0_839, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk76_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X1,X2))))). 0.56/0.83 cnf(i_0_534, plain, (image_pname_a(X1,esk44_3(X1,X2,X3))=X3|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_460, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk39_3(X1,X2,X3)),X2))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1228, plain, (is_pname(esk115_3(X1,X2,X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_968, plain, (hAPP_pname_nat(X1,esk89_3(X2,X1,X3))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),image_pname_nat(X1,X3))))). 0.56/0.83 cnf(i_0_1180, plain, (hAPP_a_nat(X1,esk111_3(X2,X1,X3))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),image_a_nat(X1,X3))))). 0.56/0.83 cnf(i_0_1074, plain, (image_a_nat(X1,esk96_3(X2,X1,X3))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_a_nat(X1,X3))))). 0.56/0.83 cnf(i_0_255, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_912, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_665, plain, (is_fun_pname_bool(esk59_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_671, plain, (is_fun1661590463l_bool(esk60_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_1164, plain, (is_fun_a_bool(esk109_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_247, plain, (is_fun949378684l_bool(esk16_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_84, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_1151, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1))=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))). 0.56/0.83 cnf(i_0_1244, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2))=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X2,X1)))). 0.56/0.83 cnf(i_0_1002, plain, (hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=hAPP_fun_a_bool_nat(finite_card_a,X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_270, plain, (image_pname_a(cOMBK_a_pname(X1),X2)=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)))). 0.56/0.83 cnf(i_0_1179, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk111_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_a_nat(X2,X3))))). 0.56/0.83 cnf(i_0_444, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2))=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X2,X1)))). 0.56/0.83 cnf(i_0_1017, plain, (X1=X2|hAPP_nat_nat(minus_minus_nat(X1),X3)!=hAPP_nat_nat(minus_minus_nat(X2),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)))). 0.56/0.83 cnf(i_0_408, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_602, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X1),X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_528, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),X2))=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X2,X1)))). 0.56/0.83 cnf(i_0_68, plain, (image_nat_a(X1,esk2_3(X2,X1,X3))=X2|~is_fun_a_bool(X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_nat_a(X1,X3))))). 0.56/0.83 cnf(i_0_917, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk84_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_419, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))|~hBOOL(X2)|~hBOOL(X3))). 0.56/0.83 cnf(i_0_265, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk18_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_764, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk71_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_232, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk13_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_960, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk87_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_46, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_374, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))|~hBOOL(X3)|~hBOOL(X1))). 0.56/0.83 cnf(i_0_1239, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X1,X2)),image_nat_a(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3)))). 0.56/0.83 cnf(i_0_1205, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk114_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_950, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))). 0.56/0.83 cnf(i_0_892, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))). 0.56/0.83 cnf(i_0_1030, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2))))). 0.56/0.83 cnf(i_0_533, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk44_3(X1,X2,X3)))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_996, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|is_a(esk91_3(X1,X3,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_997, plain, (is_fun_a_bool(esk92_3(X1,X2,X3))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_760, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk70_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1085, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2))))). 0.56/0.83 cnf(i_0_55, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))))). 0.56/0.83 cnf(i_0_285, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))))))). 0.56/0.83 cnf(i_0_352, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1))))))). 0.56/0.83 cnf(i_0_1270, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk122_1(X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_1127, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk103_1(X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_995, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk92_3(X1,X2,X3)))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_992, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,esk92_3(X1,X2,X3)))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_867, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))). 0.56/0.83 cnf(i_0_636, plain, (hAPP_nat_a(X1,esk54_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_nat_a(X1,X3)))|~is_a(X2))). 0.56/0.83 cnf(i_0_579, plain, (hAPP_nat_pname(X1,esk47_3(X2,X1,X3))=X2|~is_pname(X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),image_nat_pname(X1,X3))))). 0.56/0.83 cnf(i_0_495, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_567, plain, (is_pname(esk46_2(X1,X2))|hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|~hBOOL(wt(X2)))). 0.56/0.83 cnf(i_0_644, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk57_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)))). 0.56/0.83 cnf(i_0_918, plain, (image_a_pname(X1,esk84_3(X2,X1,X3))=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_a_pname(X1,X3)))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_429, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk36_2(X1,X2)),esk37_2(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1288, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk124_2(X1,X2)),esk125_2(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_1137, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk104_2(X1,X2)),esk105_2(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_223, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk11_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)))). 0.56/0.83 cnf(i_0_191, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))))). 0.56/0.83 cnf(i_0_192, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))))). 0.56/0.83 cnf(i_0_1055, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))))). 0.56/0.83 cnf(i_0_1054, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))))). 0.56/0.83 cnf(i_0_369, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))). 0.56/0.83 cnf(i_0_894, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X1),X2))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X2))))). 0.56/0.83 cnf(i_0_203, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2))))). 0.56/0.83 cnf(i_0_899, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),X2)))). 0.56/0.83 cnf(i_0_893, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X1),X2))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1))))). 0.56/0.83 cnf(i_0_1171, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk110_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)))). 0.56/0.83 cnf(i_0_780, plain, (hAPP_nat_nat(suc,esk72_2(X1,X2))=X2|X2=hAPP_nat_nat(suc,X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_758, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk70_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1274, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk123_3(X1,X2,X3)))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_289, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk22_3(X1,X2,X3)))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_17, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk1_3(X1,X2,X3)))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_466, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2))=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X2,X1)))). 0.56/0.83 cnf(i_0_440, plain, (hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_656, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk58_3(X1,X2,X3)))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_663, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk59_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_879, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk78_3(X1,X2,X3)))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_324, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2))=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X2,X1)))). 0.56/0.83 cnf(i_0_1105, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk98_3(X1,X2,X3)))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_430, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk37_2(X1,X2)))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1289, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk125_2(X1,X2)))|hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_1138, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk105_2(X1,X2)))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_1011, plain, (hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),esk93_2(X1,X2)))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_236, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk14_3(X1,X2,X3)))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_310, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk23_3(X1,X2,X3)))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_1120, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk101_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_1036, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk95_3(X1,X2,X3)))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_1202, plain, (hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),esk113_2(X1,X2)))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_428, plain, (hBOOL(hAPP_f1935102916l_bool(X1,esk37_2(X1,X2)))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1287, plain, (hBOOL(hAPP_f1637334154l_bool(X1,esk125_2(X1,X2)))|hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_1136, plain, (hBOOL(hAPP_f621171935l_bool(X1,esk105_2(X1,X2)))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_565, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|~hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,hAPP_pname_a(mgt_call,esk46_2(X1,X2))))))|~hBOOL(wt(X2)))). 0.56/0.83 cnf(i_0_321, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))). 0.56/0.83 cnf(i_0_1189, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk112_3(X1,X2,X3)))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_182, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X1,X2)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X1,esk8_3(X1,X3,X2))),X3)))). 0.56/0.83 cnf(i_0_1229, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X2)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(X1,esk116_3(X1,X3,X2))),X3)))). 0.56/0.83 cnf(i_0_418, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|hBOOL(X3)|hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)))). 0.56/0.83 cnf(i_0_373, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|hBOOL(X1)|hBOOL(X3)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)))). 0.56/0.83 cnf(i_0_339, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_847, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X2)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(X1,esk77_3(X1,X3,X2))),X3)))). 0.56/0.83 cnf(i_0_955, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X2)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X1,esk86_3(X1,X3,X2))),X3)))). 0.56/0.83 cnf(i_0_1226, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X2)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X1,esk115_3(X1,X3,X2))),X3)))). 0.56/0.83 cnf(i_0_287, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))). 0.56/0.83 cnf(i_0_747, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X2)),image_a_pname(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))). 0.56/0.83 cnf(i_0_576, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X1,X2)),hAPP_a_bool(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3)))). 0.56/0.83 cnf(i_0_705, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X2)),image_a_nat(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))). 0.56/0.83 cnf(i_0_288, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),X2)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_37, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_1327, plain, (X1=hAPP_nat_nat(suc,X2)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))))). 0.56/0.83 cnf(i_0_1024, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))). 0.56/0.83 cnf(i_0_86, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X1,esk4_2(X1,X2))),hAPP_a_bool(X2,esk4_2(X1,X2)))))). 0.56/0.83 cnf(i_0_585, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk48_3(X1,X2,X3)),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_18, plain, (image_fun_nat_bool_a(X1,esk1_3(X1,X2,X3))=X3|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1273, plain, (image_nat_a(X1,esk123_3(X1,X2,X3))=X3|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_398, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X1,X2)),image_a_nat(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X3)))). 0.56/0.83 cnf(i_0_553, plain, (image_1551609309ol_nat(X1,esk45_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_759, plain, (image_a_nat(X1,esk70_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1088, plain, (image_496248727ol_nat(X1,esk97_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1206, plain, (image_a_fun_nat_bool(X1,esk114_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_1230, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk116_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_290, plain, (image_876012084bool_a(X1,esk22_3(X1,X2,X3))=X3|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_462, plain, (image_a_a(X1,esk39_3(X1,X2,X3))=X3|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1106, plain, (image_fun_a_bool_a(X1,esk98_3(X1,X2,X3))=X3|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_835, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,hAPP_pname_a(mgt_call,X2)))))|~hBOOL(hAPP_fun_a_bool_bool(p(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(the_com(body(X2))))))))). 0.56/0.83 cnf(i_0_871, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)))). 0.56/0.83 cnf(i_0_956, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk86_3(X1,X2,X3)),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_264, plain, (image_pname_nat(X1,esk18_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_109, plain, (image_fun_a_bool_nat(X1,esk6_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_959, plain, (image_nat_nat(X1,esk87_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_233, plain, (image_26036933t_bool(X1,esk13_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_933, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk85_3(X1,X2,X3)),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_1332, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk129_3(X1,X2,X3)),X3))|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3))))). 0.56/0.83 cnf(i_0_554, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk45_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1089, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk97_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_108, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk6_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_443, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hAPP_nat_nat(plus_plus_nat(X3),X2)!=hAPP_nat_nat(plus_plus_nat(X1),X4)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4)))). 0.56/0.83 cnf(i_0_765, plain, (image_2129980159t_bool(X1,esk71_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_396, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,esk32_2(X1,X2))),hAPP_pname_bool(X2,esk32_2(X1,X2)))))). 0.56/0.83 cnf(i_0_889, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk80_2(X1,X2))),hAPP_nat_bool(X2,esk80_2(X1,X2)))))). 0.56/0.83 cnf(i_0_700, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_328, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk25_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X1,X2))))). 0.56/0.83 cnf(i_0_1166, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk109_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_1266, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fequal_a,X2)),hAPP_a_a(X2,esk120_2(X2,X1)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2,X1))))). 0.56/0.83 cnf(i_0_993, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk91_3(X1,X3,X2)),esk92_3(X1,X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_159, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X1)),X2)=hAPP_n1699378549t_bool(fequal_nat,X1)|~hBOOL(hAPP_nat_bool(X2,X1)))). 0.56/0.83 cnf(i_0_13, plain, (X1=X2|~is_fun1661590463l_bool(X2)|~is_fun1661590463l_bool(X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)))). 0.56/0.83 cnf(i_0_1130, plain, (X1=X2|~is_fun_a_bool(X2)|~is_fun_a_bool(X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1)))). 0.56/0.83 cnf(i_0_797, plain, (X1=X2|~is_fun949378684l_bool(X2)|~is_fun949378684l_bool(X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_193, plain, (X1=X2|hBOOL(hAPP_nat_bool(X3,X2))|~hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)),X2)))). 0.56/0.83 cnf(i_0_777, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_1191, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))))). 0.56/0.83 cnf(i_0_631, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))))). 0.56/0.83 cnf(i_0_28, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X1),X2))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X2))))). 0.56/0.83 cnf(i_0_1165, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk109_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_1119, plain, (image_nat_pname(X1,esk101_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_674, plain, (image_1283814551_pname(X1,esk60_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_426, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X1,X2)),image_nat_pname(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3)))). 0.56/0.83 cnf(i_0_994, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk91_3(X1,X2,X3)),X2))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_755, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk69_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))). 0.56/0.83 cnf(i_0_885, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk79_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))). 0.56/0.83 cnf(i_0_67, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk2_3(X1,X2,X3)),X3))|~is_fun_a_bool(X1)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_nat_a(X2,X3))))). 0.56/0.83 cnf(i_0_781, plain, (X1=hAPP_nat_nat(suc,X2)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),esk72_2(X2,X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))). 0.56/0.83 cnf(i_0_621, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)))). 0.56/0.83 cnf(i_0_250, plain, (image_1854862208_pname(X1,esk16_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_235, plain, (image_nat_fun_a_bool(X1,esk14_3(X1,X2,X3))=X3|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_272, plain, (image_1921560913_pname(X1,esk19_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_1035, plain, (image_a_fun_a_bool(X1,esk95_3(X1,X2,X3))=X3|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_72, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk3_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X1,X2))))). 0.56/0.83 cnf(i_0_686, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fequal_fun_a_bool,X2)),hAPP_a_fun_a_bool(X2,esk61_2(X2,X1)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X2,X1))))). 0.56/0.83 cnf(i_0_800, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_878, plain, (image_47868345e_bool(X1,esk78_3(X1,X2,X3))=X3|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_309, plain, (image_1655916159e_bool(X1,esk23_3(X1,X2,X3))=X3|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_1167, plain, (image_a_pname(X1,esk109_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_664, plain, (image_pname_pname(X1,esk59_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_6, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)))). 0.56/0.83 cnf(i_0_829, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_nat_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_nat_a(X1,X3))))=image_nat_a(X1,X3)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3)))). 0.56/0.83 cnf(i_0_967, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk89_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_pname_nat(X2,X3))))). 0.56/0.83 cnf(i_0_566, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk46_2(X1,X2)),u))|~hBOOL(wt(X2)))). 0.56/0.83 cnf(i_0_1173, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X1,X2)),image_pname_nat(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))). 0.56/0.83 cnf(i_0_655, plain, (image_112932426a_bool(X1,esk58_3(X1,X2,X3))=X3|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_1188, plain, (image_819518260e_bool(X1,esk112_3(X1,X2,X3))=X3|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_673, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk60_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_273, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk19_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_33, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(X1,X2))),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_991, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),esk91_3(X1,X3,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),esk92_3(X1,X3,X2))))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_635, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk54_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_nat_a(X2,X3)))|~is_a(X1))). 0.56/0.83 cnf(i_0_249, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk16_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_739, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))). 0.56/0.83 cnf(i_0_484, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(X1,X2))),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_258, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk17_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2))))). 0.56/0.83 cnf(i_0_342, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk28_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2))))). 0.56/0.83 cnf(i_0_784, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk73_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1,X2))))). 0.56/0.83 cnf(i_0_1097, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(X1,X2))),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_837, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)))). 0.56/0.83 cnf(i_0_271, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)))). 0.56/0.83 cnf(i_0_649, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(X1,X2))),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_787, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk74_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1,X2))))). 0.56/0.83 cnf(i_0_802, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk75_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1,X2))))). 0.56/0.83 cnf(i_0_332, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk26_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X1,X2))))). 0.56/0.83 cnf(i_0_336, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk27_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X1,X2))))). 0.56/0.83 cnf(i_0_183, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk8_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_1178, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)))). 0.56/0.83 cnf(i_0_848, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk77_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_909, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk83_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X1,X2))))). 0.56/0.83 cnf(i_0_1243, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk117_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X1,X2))))). 0.56/0.83 cnf(i_0_1255, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk119_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X1,X2))))). 0.56/0.83 cnf(i_0_1306, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk127_2(X1,X2)),X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X1,X2))))). 0.56/0.83 cnf(i_0_1227, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk115_3(X1,X2,X3)),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X3)),X2)))). 0.56/0.83 cnf(i_0_693, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)))). 0.56/0.83 cnf(i_0_1358, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk134_2(X1,X2)),X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2))))). 0.56/0.83 cnf(i_0_225, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk12_2(X1,X2)),X2))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X1,X2))))). 0.56/0.83 cnf(i_0_477, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk40_2(X1,X2)),X2))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X1,X2))))). 0.56/0.83 cnf(i_0_320, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk24_2(X1,X2)),X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1,X2))))). 0.56/0.83 cnf(i_0_550, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)=hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))). 0.56/0.83 cnf(i_0_521, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)))). 0.56/0.83 cnf(i_0_480, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk41_2(X1,X2)),X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X1,X2))))). 0.56/0.83 cnf(i_0_675, plain, (hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))). 0.56/0.83 cnf(i_0_1204, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk114_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_851, plain, (X1=X2|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X3),X1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X3),X2))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))|~is_fun_a_bool(X2)|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_113, plain, (hAPP_nat_nat(suc,X1)=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))). 0.56/0.83 cnf(i_0_900, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2))))). 0.56/0.83 cnf(i_0_202, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))). 0.56/0.83 cnf(i_0_454, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,X1)),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk38_2(X2,X1)),hAPP_nat_nat(X1,esk38_2(X2,X1)))))). 0.56/0.83 cnf(i_0_1264, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))),X2)))). 0.56/0.83 cnf(i_0_1256, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(X1,X2))),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_535, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk44_3(X1,X2,X3)),X2))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1275, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk123_3(X1,X2,X3)),X2))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_291, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk22_3(X1,X2,X3)),X2))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_179, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X3))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))). 0.56/0.83 cnf(i_0_870, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(X1,X2))),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1265, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))),X2)))). 0.56/0.83 cnf(i_0_754, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|is_fun_pname_bool(esk68_3(X1,X3,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_753, plain, (is_pname(esk67_3(X1,X2,X3))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_213, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|is_fun_pname_bool(esk9_3(X1,X3,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1357, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(X1,X2))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_19, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk1_3(X1,X2,X3)),X2))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_1107, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk98_3(X1,X2,X3)),X2))|~is_fun_a_bool(X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))). 0.56/0.83 cnf(i_0_624, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1)))). 0.56/0.83 cnf(i_0_578, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk47_3(X1,X2,X3)),X3))|~is_pname(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_nat_pname(X2,X3))))). 0.56/0.83 cnf(i_0_433, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(X1,X2))),hAPP_f22106695ol_nat(finite_card_nat,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_214, plain, (is_fun1661590463l_bool(esk10_3(X1,X2,X3))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_406, plain, (is_fun_a_bool(esk33_3(X1,X2,X3))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_405, plain, (is_fun949378684l_bool(esk34_3(X1,X2,X3))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_71, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_679, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(X1,X2))),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_1034, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk95_3(X1,X2,X3)),X2))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_1187, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk112_3(X1,X2,X3)),X2))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_42, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(X1,X2))),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_150, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))),X2)))). 0.56/0.83 cnf(i_0_151, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))),X2)))). 0.56/0.83 cnf(i_0_266, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk18_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1006, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(X1,X2))),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_1295, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(X1,X2))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_721, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(X1,X2))),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_958, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk87_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_555, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk45_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_1090, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk97_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_110, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk6_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_5, plain, (X1=X2|hBOOL(hAPP_pname_bool(X3,X2))|~is_pname(X2)|~is_pname(X1)|~hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))),X2)))). 0.56/0.83 cnf(i_0_101, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_21, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_517, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_1004, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_1000, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_750, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk67_3(X1,X3,X2)),esk68_3(X1,X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_1338, plain, (hBOOL(hAPP_f54304608l_bool(X1,X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk131_3(X1,X3,X2)),esk132_3(X1,X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_210, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk9_3(X1,X3,X2)),esk10_3(X1,X3,X2)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_613, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk50_3(X1,X3,X2)),esk51_3(X1,X3,X2)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_1104, plain, (X1=X2|X2=X3|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3))),hAPP_a_fun_a_bool(fequal_a,X1)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X4))),hAPP_a_fun_a_bool(fequal_a,X2)))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_1101, plain, (X1=X2|X2=X3|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),hAPP_a_fun_a_bool(fequal_a,X3)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),hAPP_a_fun_a_bool(fequal_a,X4)))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_522, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_591, plain, (is_fun949378684l_bool(collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))|~is_fun949378684l_bool(X2)|~is_fun_a_bool(X1))). 0.56/0.83 cnf(i_0_402, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk33_3(X1,X3,X2)),esk34_3(X1,X3,X2)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_662, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk59_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_1121, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk101_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_672, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk60_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_376, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fequal_pname,X2)),hAPP_a_pname(X2,esk30_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X2,X1))))). 0.56/0.83 cnf(i_0_515, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fequal_nat,X2)),hAPP_a_nat(X2,esk43_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X2,X1))))). 0.56/0.83 cnf(i_0_840, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fequal533582459e_bool,X2)),hAPP_a93125764e_bool(X2,esk76_2(X2,X1)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X2,X1))))). 0.56/0.83 cnf(i_0_711, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fequal_fun_nat_bool,X2)),hAPP_a_fun_nat_bool(X2,esk65_2(X2,X1)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X2,X1))))). 0.56/0.83 cnf(i_0_1238, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))). 0.56/0.83 cnf(i_0_274, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk19_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_248, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk16_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))). 0.56/0.83 cnf(i_0_11, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)))))). 0.56/0.83 cnf(i_0_2, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))). 0.56/0.83 cnf(i_0_752, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk68_3(X1,X2,X3)))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_1340, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk132_3(X1,X2,X3)))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_212, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk10_3(X1,X2,X3)))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_1029, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_125, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))). 0.56/0.83 cnf(i_0_1050, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))). 0.56/0.83 cnf(i_0_1086, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)))). 0.56/0.83 cnf(i_0_606, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))). 0.56/0.83 cnf(i_0_385, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))). 0.56/0.83 cnf(i_0_615, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk51_3(X1,X2,X3)))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_404, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk34_3(X1,X2,X3)))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_749, plain, (hBOOL(hAPP_f1664156314l_bool(X1,esk68_3(X1,X2,X3)))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_1337, plain, (hBOOL(hAPP_f54304608l_bool(X1,esk132_3(X1,X2,X3)))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_326, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_70, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))). 0.56/0.83 cnf(i_0_505, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)))). 0.56/0.83 cnf(i_0_744, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)))). 0.56/0.83 cnf(i_0_209, plain, (hBOOL(hAPP_f1935102916l_bool(X1,esk10_3(X1,X2,X3)))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_612, plain, (hBOOL(hAPP_f1637334154l_bool(X1,esk51_3(X1,X2,X3)))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_401, plain, (hBOOL(hAPP_f621171935l_bool(X1,esk34_3(X1,X2,X3)))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_486, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_358, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X2),X3)))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(suc,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))). 0.56/0.83 cnf(i_0_195, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)),X3))|~hBOOL(hAPP_nat_bool(X2,X3)))). 0.56/0.83 cnf(i_0_692, plain, (is_fun_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))|~is_pname(X1)|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_832, plain, (is_fun1661590463l_bool(collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))|~is_fun1661590463l_bool(X2)|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_766, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk71_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_231, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk13_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_134, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk7_3(X2,X1,X3))))|hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(X1,X3)))). 0.56/0.83 cnf(i_0_337, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2)))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_723, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk66_3(X1,X2,X3))))|hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(X1,X3)))). 0.56/0.83 cnf(i_0_724, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk66_3(X1,X2,X3)),X3))|hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(X1,X3)))). 0.56/0.83 cnf(i_0_778, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X3),X2)))=hAPP_nat_nat(minus_minus_nat(X1),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_1286, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,esk124_2(X1,X2)))),esk125_2(X1,X2))))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_335, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fequal_pname,X2)),hAPP_nat_pname(X2,esk27_2(X2,X1))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X2,X1))))). 0.56/0.83 cnf(i_0_1254, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fequal_nat,X2)),hAPP_nat_nat(X2,esk119_2(X2,X1))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X2,X1))))). 0.56/0.83 cnf(i_0_910, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,X2)),hAPP_n1025906991e_bool(X2,esk83_2(X2,X1))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X2,X1))))). 0.56/0.83 cnf(i_0_54, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_286, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2)))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_731, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~is_fun_pname_bool(X2))). 0.56/0.83 cnf(i_0_73, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fequal_a,X2)),hAPP_nat_a(X2,esk3_2(X2,X1))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X2,X1))))). 0.56/0.83 cnf(i_0_1242, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,X2)),hAPP_n1699378549t_bool(X2,esk117_2(X2,X1))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X2,X1))))). 0.56/0.83 cnf(i_0_333, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,X2)),hAPP_nat_fun_a_bool(X2,esk26_2(X2,X1))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X2,X1))))). 0.56/0.83 cnf(i_0_478, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fequal_pname,X2)),hAPP_f1291551745_pname(X2,esk40_2(X2,X1))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X2,X1))))). 0.56/0.83 cnf(i_0_657, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk58_3(X1,X2,X3)),X2))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_877, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk78_3(X1,X2,X3)),X2))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_864, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,hAPP_pname_nat(X1,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_pname_nat(X1,X3)))=image_pname_nat(X1,X3)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))). 0.56/0.83 cnf(i_0_224, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fequal_nat,X2)),hAPP_f22106695ol_nat(X2,esk12_2(X2,X1))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X2,X1))))). 0.56/0.83 cnf(i_0_427, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),esk36_2(X1,X2))),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),esk37_2(X1,X2))))))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_1135, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),esk104_2(X1,X2))),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),esk105_2(X1,X2))))))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_234, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk14_3(X1,X2,X3)),X2))|~is_fun949378684l_bool(X3)|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_308, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk23_3(X1,X2,X3)),X2))|~is_fun1661590463l_bool(X3)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_751, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk67_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))). 0.56/0.83 cnf(i_0_1339, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk131_3(X1,X2,X3)),X2))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))). 0.56/0.83 cnf(i_0_211, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk9_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))). 0.56/0.83 cnf(i_0_1213, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,hAPP_a_nat(X1,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),image_a_nat(X1,X3)))=image_a_nat(X1,X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X3)))). 0.56/0.83 cnf(i_0_435, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X1),X2))),X3)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),hAPP_nat_nat(plus_plus_nat(X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_257, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fequal_pname,X2)),hAPP_pname_pname(X2,esk17_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X2,X1))))). 0.56/0.83 cnf(i_0_786, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fequal_nat,X2)),hAPP_pname_nat(X2,esk74_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X2,X1))))). 0.56/0.83 cnf(i_0_343, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fequal533582459e_bool,X2)),hAPP_p61793385e_bool(X2,esk28_2(X2,X1)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X2,X1))))). 0.56/0.83 cnf(i_0_327, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,X2)),hAPP_pname_a(X2,esk25_2(X2,X1)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X2,X1))))). 0.56/0.83 cnf(i_0_614, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk50_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))). 0.56/0.83 cnf(i_0_403, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk33_3(X1,X2,X3)),X2))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))). 0.56/0.83 cnf(i_0_1212, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))). 0.56/0.83 cnf(i_0_20, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)))). 0.56/0.83 cnf(i_0_1279, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,X2))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_1182, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)))). 0.56/0.83 cnf(i_0_783, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fequal_fun_nat_bool,X2)),hAPP_p1499970991t_bool(X2,esk73_2(X2,X1)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X2,X1))))). 0.56/0.83 cnf(i_0_801, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fequal_fun_a_bool,X2)),hAPP_p1534023578a_bool(X2,esk75_2(X2,X1)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X2,X1))))). 0.56/0.83 cnf(i_0_1359, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fequal_pname,X2)),hAPP_f1297739591_pname(X2,esk134_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2,X1))))). 0.56/0.83 cnf(i_0_1307, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fequal_nat,X2)),hAPP_f921600141ol_nat(X2,esk127_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2,X1))))). 0.56/0.83 cnf(i_0_261, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)))). 0.56/0.83 cnf(i_0_820, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))). 0.56/0.83 cnf(i_0_1096, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))). 0.56/0.83 cnf(i_0_1334, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X1,X2)),hAPP_nat_fun_a_bool(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X1,esk130_3(X2,X3,X1))),hAPP_nat_fun_a_bool(X1,hAPP_nat_nat(suc,esk130_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_934, plain, (hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,X2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_481, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fequal_pname,X2)),hAPP_f1128469712_pname(X2,esk41_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X2,X1))))). 0.56/0.83 cnf(i_0_319, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fequal_nat,X2)),hAPP_fun_a_bool_nat(X2,esk24_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X2,X1))))). 0.56/0.83 cnf(i_0_173, plain, (X1=X2|collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))!=collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))|~is_pname(X2)|~is_pname(X1))). 0.56/0.83 cnf(i_0_390, plain, (X1=X2|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|~is_pname(X2)|~is_pname(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))))). 0.56/0.83 cnf(i_0_1240, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3)))))). 0.56/0.83 cnf(i_0_3, plain, (hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X3))|~is_pname(X1)|~is_pname(X3)|~hBOOL(hAPP_pname_bool(X2,X3)))). 0.56/0.83 cnf(i_0_416, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))))). 0.56/0.83 cnf(i_0_275, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk20_3(X2,X3,X1))),hAPP_nat_nat(X1,esk21_3(X2,X3,X1))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_1336, plain, (hBOOL(hAPP_f54304608l_bool(X1,X2))|~hBOOL(hAPP_f54304608l_bool(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,esk131_3(X1,X3,X2))),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),esk132_3(X1,X3,X2)))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_611, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,esk50_3(X1,X3,X2)))),esk51_3(X1,X3,X2))))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_890, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,esk81_3(X2,X3,X1))),hAPP_nat_nat(X1,hAPP_nat_nat(suc,esk81_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_161, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)))). 0.56/0.83 cnf(i_0_986, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)))). 0.56/0.83 cnf(i_0_709, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)),X2))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(X2,X1)))). 0.56/0.83 cnf(i_0_979, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1,X2)),hAPP_n1025906991e_bool(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1,esk90_3(X2,X3,X1))),hAPP_n1025906991e_bool(X1,hAPP_nat_nat(suc,esk90_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_1146, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X1,X3)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk107_3(X2,X3,X1))),hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk107_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_415, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X1,X2)),hAPP_n1699378549t_bool(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X1,esk35_3(X2,X3,X1))),hAPP_n1699378549t_bool(X1,hAPP_nat_nat(suc,esk35_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))). 0.56/0.83 cnf(i_0_748, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|~hBOOL(hAPP_f1664156314l_bool(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),esk67_3(X1,X3,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),esk68_3(X1,X3,X2))))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_1190, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_a_pname(X1,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_a_pname(X1,X3))))=image_a_pname(X1,X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X3)))). 0.56/0.83 cnf(i_0_935, plain, (hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))=hAPP_f22106695ol_nat(finite_card_nat,X2)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))). 0.56/0.83 cnf(i_0_1280, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))=hAPP_f696928925ol_nat(finite346522414t_bool,X2)|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))). 0.56/0.83 cnf(i_0_381, plain, (hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))=hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_1245, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))|~hBOOL(hAPP_pname_bool(X2,X1)))). 0.56/0.83 cnf(i_0_208, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),esk9_3(X1,X3,X2))),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),esk10_3(X1,X3,X2))))))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_400, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),esk33_3(X1,X3,X2))),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),esk34_3(X1,X3,X2))))))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_1063, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_pname_pname(X1,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_pname_pname(X1,X3))))=image_pname_pname(X1,X3)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))). 0.56/0.83 cnf(i_0_106, plain, (X1=hAPP_n1699378549t_bool(fequal_nat,X2)|X1=bot_bot_fun_nat_bool|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(fequal_nat,X2))))). 0.56/0.83 cnf(i_0_859, plain, (hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))=hAPP_f55526627ol_nat(finite1340463720e_bool,X2)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_914, plain, (hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=hAPP_f921600141ol_nat(finite_card_pname,X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_445, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(X2,X1)))). 0.56/0.83 cnf(i_0_529, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),X2))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(X2,X1)))). 0.56/0.83 cnf(i_0_638, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk55_3(X2,X3,X1))),hAPP_nat_nat(X1,esk56_3(X2,X3,X1)))))). 0.56/0.83 cnf(i_0_91, plain, (X1=collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))|X1=bot_bo844097828e_bool|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))))|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1263, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)))). 0.56/0.83 cnf(i_0_842, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2))),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))). 0.56/0.83 cnf(i_0_276, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk20_3(X1,X2,X3)),esk21_3(X1,X2,X3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X3,X1)),hAPP_nat_nat(X3,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))). 0.56/0.83 cnf(i_0_254, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))). 0.56/0.83 cnf(i_0_599, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1)))). 0.56/0.83 cnf(i_0_149, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)))). 0.56/0.83 cnf(i_0_467, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))|~hBOOL(hAPP_pname_bool(X2,X1)))). 0.56/0.83 cnf(i_0_639, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk55_3(X2,X3,X1)),esk56_3(X2,X3,X1))))). 0.56/0.83 cnf(i_0_1251, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2)))). 0.56/0.83 cnf(i_0_314, plain, (hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X2))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))). 0.56/0.83 cnf(i_0_382, plain, (hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))). 0.56/0.83 cnf(i_0_447, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)))). 0.56/0.83 cnf(i_0_1198, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)))). 0.56/0.83 cnf(i_0_323, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(X2,X1)))). 0.56/0.83 cnf(i_0_1335, plain, (hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))). 0.56/0.83 cnf(i_0_56, plain, (X1=X2|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))). 0.56/0.83 cnf(i_0_1065, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X3))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)))). 0.56/0.83 cnf(i_0_1147, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)))). 0.56/0.83 cnf(i_0_941, plain, (X1=X2|X2=X3|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X3)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4))),hAPP_p61793385e_bool(fequal_pname,X2)))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1))). 0.56/0.83 cnf(i_0_939, plain, (X1=X2|X1=X3|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X4)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3))),hAPP_p61793385e_bool(fequal_pname,X2)))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1))). 0.56/0.83 cnf(i_0_188, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X1))))|~is_a(X1))). 0.56/0.83 cnf(i_0_496, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))). 0.56/0.83 cnf(i_0_951, plain, (hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))),X1))|~is_a(X1))). 0.56/0.83 cnf(i_0_677, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),hAPP_n1699378549t_bool(fequal_nat,X2))))). 0.56/0.83 cnf(i_0_40, plain, (X1=X2|~is_pname(X2)|~is_pname(X1)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)))))). 0.56/0.83 cnf(i_0_487, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2))),X1))))). 0.56/0.83 cnf(i_0_874, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))))|~is_pname(X1))). 0.56/0.83 cnf(i_0_763, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)))))). 0.56/0.83 cnf(i_0_905, plain, (X1=X2|hAPP_n1699378549t_bool(fequal_nat,X1)!=hAPP_n1699378549t_bool(fequal_nat,X2))). 0.56/0.83 cnf(i_0_1100, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),hAPP_a_fun_a_bool(fequal_a,X2)))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),hAPP_a_fun_a_bool(fequal_a,X1)))|~is_a(X2)|~is_a(X1))). 0.56/0.83 cnf(i_0_582, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),X2)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)|~hBOOL(hAPP_f54304608l_bool(X2,X1)))). 0.56/0.83 cnf(i_0_4, plain, (hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X1))|~is_pname(X1))). 0.56/0.83 cnf(i_0_1079, plain, (X1=X2|X3=X1|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X3)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X2)))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X4))))). 0.56/0.83 cnf(i_0_1078, plain, (X1=X2|X1=X3|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X2)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X3)))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X4)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),hAPP_n1699378549t_bool(fequal_nat,X1))))). 0.56/0.83 cnf(i_0_937, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X2)))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2))),hAPP_p61793385e_bool(fequal_pname,X1)))|~is_pname(X2)|~is_pname(X1))). 0.56/0.83 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.56/0.83 # Begin printing tableau 0.56/0.83 # 2,0,0,0 c s 0.56/0.83 cnf(i_0_1544, plain, (hBOOL(hAPP_bool_bool(fNot,hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))))). 0.56/0.83 # 1,2,458,0 0.56/0.83 cnf(i_0_1481, plain, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))). 0.56/0.83 # 0,1,1305,0 0.56/0.83 cnf(i_0_1305, watchlist, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))). 0.56/0.83 0.56/0.83 # 2,0,0,1 x c 0.56/0.83 cnf(i_0_1545, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))). 0.56/0.83 # 1,2,458,0 0.56/0.83 cnf(i_0_1481, plain, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))). 0.56/0.83 # 0,1,1305,0 0.56/0.83 cnf(i_0_1305, watchlist, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))). 0.56/0.83 0.56/0.83 # End printing tableau 0.56/0.83 # SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.56/0.83 # Branches closed with saturation will be marked with an "s" 0.56/0.83 # Proof search success! 0.56/0.83 # Exiting... 0.56/0.84 EOF