0.11/0.33 % Problem : SLH0431^1 : TPTP v8.2.0. Released v8.2.0. 0.11/0.34 % Command : run_E %s %d THM 0.34/0.55 % Computer : n018.cluster.edu 0.34/0.55 % Model : x86_64 x86_64 0.34/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.34/0.55 % Memory : 8042.1875MB 0.34/0.55 % OS : Linux 3.10.0-693.el7.x86_64 0.34/0.55 % CPULimit : 30 0.34/0.55 % WCLimit : 30 0.34/0.55 % DateTime : Mon Jul 3 08:48:46 EDT 2023 0.34/0.55 % CPUTime : 0.47/0.67 The problem SPC is TH0_THM_EQU_NAR 0.47/0.68 Running higher-order on 1 cores theorem proving 0.47/0.68 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770 0.47/0.68 # Version: 3.0pre003-ho 9.83/10.12 # partial match(1): HMLMSMSMSSLNHSA 9.83/10.12 # Preprocessing class: HMLMSMSMSSLNSSA. 9.83/10.12 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 9.83/10.12 # Starting sh2lt with 30s (1) cores 9.83/10.12 # sh2lt with pid 8950 completed with status 0 9.83/10.12 # Result found by sh2lt 9.83/10.12 # partial match(1): HMLMSMSMSSLNHSA 9.83/10.12 # Preprocessing class: HMLMSMSMSSLNSSA. 9.83/10.12 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 9.83/10.12 # Starting sh2lt with 30s (1) cores 9.83/10.12 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 9.83/10.12 # ...ProofStateSinE()=988/1601 9.83/10.12 # Search class: HGHSM-SMLM31-MSSFFSBN 9.83/10.12 # partial match(1): HGHSM-SMLM31-MHSFFSBN 9.83/10.12 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 9.83/10.12 # Starting new_ho_10 with 17s (1) cores 9.83/10.12 # new_ho_10 with pid 8951 completed with status 0 9.83/10.12 # Result found by new_ho_10 9.83/10.12 # partial match(1): HMLMSMSMSSLNHSA 9.83/10.12 # Preprocessing class: HMLMSMSMSSLNSSA. 9.83/10.12 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 9.83/10.12 # Starting sh2lt with 30s (1) cores 9.83/10.12 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 9.83/10.12 # ...ProofStateSinE()=988/1601 9.83/10.12 # Search class: HGHSM-SMLM31-MSSFFSBN 9.83/10.12 # partial match(1): HGHSM-SMLM31-MHSFFSBN 9.83/10.12 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 9.83/10.12 # Starting new_ho_10 with 17s (1) cores 9.83/10.12 # Preprocessing time : 0.029 s 9.83/10.12 # Presaturation interreduction done 9.83/10.12 9.83/10.12 # Proof found! 9.83/10.12 # SZS status Theorem 9.83/10.12 # SZS output start CNFRefutation 9.83/10.12 thf(decl_22, type, complete_Sup_Sup_nat: set_nat > nat). 9.83/10.12 thf(decl_23, type, equiv_equiv_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_24, type, equiv_5407799809235660215at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o). 9.83/10.12 thf(decl_25, type, equiv_4747025764091581168at_nat: set_Pr7717912310451564380at_nat > set_Pr575275573428919693at_nat > $o). 9.83/10.12 thf(decl_26, type, equiv_1794508434705381718at_nat: set_Pr1625285437083415874at_nat > set_Pr3682919485507723993at_nat > $o). 9.83/10.12 thf(decl_27, type, equiv_5872512748058882250at_nat: set_Pr2539167527615954998at_nat > set_Pr7116486347545156417at_nat > $o). 9.83/10.12 thf(decl_28, type, equiv_8513503626403384349at_nat: set_Pr8693737435421807431at_nat > set_Pr553994874890374343at_nat > $o). 9.83/10.12 thf(decl_29, type, equiv_4443766944827089949at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 9.83/10.12 thf(decl_30, type, equiv_6458487239543531287at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_31, type, equiv_6391399584077209341at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o). 9.83/10.12 thf(decl_32, type, equiv_proj_nat_nat: set_Pr1261947904930325089at_nat > nat > set_nat). 9.83/10.12 thf(decl_33, type, equiv_4368763690022510885at_nat: set_Pr7717912310451564380at_nat > nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_34, type, equiv_6105157251339149963at_nat: set_Pr938417207581201730at_nat > nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_35, type, equiv_1339744770630322827at_nat: set_Pr1625285437083415874at_nat > nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_36, type, equiv_4785085088318667978at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_37, type, equiv_8664554612503799882at_nat: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat). 9.83/10.12 thf(decl_38, type, equiva50036288466687814et_nat: list_set_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_39, type, fun_max_strict: set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_40, type, fun_max_weak: set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_41, type, fun_min_strict: set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_42, type, fun_min_weak: set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_43, type, fun_pair_leq: set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_44, type, fun_pair_less: set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_45, type, fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o). 9.83/10.12 thf(decl_46, type, zero_zero_nat: nat). 9.83/10.12 thf(decl_47, type, inf_inf_set_nat: set_nat > set_nat > set_nat). 9.83/10.12 thf(decl_48, type, inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_49, type, inf_in2614571422801645294at_nat: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_50, type, inf_in5770378768804602324at_nat: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_51, type, inf_in6659198676820811720at_nat: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat). 9.83/10.12 thf(decl_52, type, inf_in4302113700860409141at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_53, type, inf_in7913087082777306421at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_54, type, inf_in767997467307849391at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_55, type, inf_in535663156852456469at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat). 9.83/10.12 thf(decl_56, type, sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_57, type, map_nat_set_nat: (nat > set_nat) > list_nat > list_set_nat). 9.83/10.12 thf(decl_58, type, upt: nat > nat > list_nat). 9.83/10.12 thf(decl_59, type, bot_bot_nat_nat_o: nat > nat > $o). 9.83/10.12 thf(decl_60, type, bot_bo299098150252063679_nat_o: nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_61, type, bot_bo3503142175085418329_nat_o: nat > produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_62, type, bot_bo3222956657441118041_nat_o: nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_63, type, bot_bot_nat_o: nat > $o). 9.83/10.12 thf(decl_64, type, bot_bo7684020171302999095_nat_o: product_prod_nat_nat > nat > $o). 9.83/10.12 thf(decl_65, type, bot_bo4898103413517107610_nat_o: product_prod_nat_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_66, type, bot_bo7400528067505707188_nat_o: product_prod_nat_nat > produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_67, type, bot_bo1560422897245274292_nat_o: product_prod_nat_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_68, type, bot_bo482883023278783056_nat_o: product_prod_nat_nat > $o). 9.83/10.12 thf(decl_69, type, bot_bo3097435115971076757_nat_o: produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_70, type, bot_bo7375885832553651247_nat_o: produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_71, type, bot_bo4775950191775228475_nat_o: produc8373899037510109440at_nat > $o). 9.83/10.12 thf(decl_72, type, bot_bo7573314457883560170_nat_o: produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_73, type, bot_bo6829958733157050602_nat_o: produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_74, type, bot_bo394778441745866138_nat_o: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_75, type, bot_bo218339565480256752_nat_o: set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_76, type, bot_bo3364206721330744218_nat_o: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_77, type, bot_bo4554916838760116746_nat_o: set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_78, type, bot_bot_nat: nat). 9.83/10.12 thf(decl_79, type, bot_bot_set_nat: set_nat). 9.83/10.12 thf(decl_80, type, bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_81, type, bot_bo7383041282903587824at_nat: set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_82, type, bot_bo8377026480103158742at_nat: set_Pr938417207581201730at_nat). 9.83/10.12 thf(decl_83, type, bot_bo5447686749407507414at_nat: set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_84, type, bot_bo2204296500067978442at_nat: set_Pr2539167527615954998at_nat). 9.83/10.12 thf(decl_85, type, bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_86, type, bot_bo5736928626829813017at_nat: set_Pr9129816769188007085at_nat). 9.83/10.12 thf(decl_87, type, bot_bo3433114129128967449at_nat: set_Pr6615861603993638061at_nat). 9.83/10.12 thf(decl_88, type, bot_bo4375304446311108656at_nat: set_Pr552903133987017116at_nat). 9.83/10.12 thf(decl_89, type, bot_bo7908653319349560013at_nat: set_Pr1868028757359454817at_nat). 9.83/10.12 thf(decl_90, type, bot_bo7193250159860175667at_nat: set_Pr5564308138774400199at_nat). 9.83/10.12 thf(decl_91, type, bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_92, type, bot_bo4948859079157340979at_nat: set_Pr7459493094073627847at_nat). 9.83/10.12 thf(decl_93, type, bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_94, type, bot_bo1534825418459847827at_nat: set_se5479201105039950375at_nat). 9.83/10.12 thf(decl_95, type, ord_less_nat: nat > nat > $o). 9.83/10.12 thf(decl_96, type, ord_less_eq_nat: nat > nat > $o). 9.83/10.12 thf(decl_97, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 9.83/10.12 thf(decl_98, type, ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_99, type, ord_le3050193496395145148at_nat: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > $o). 9.83/10.12 thf(decl_100, type, ord_le8134918805017736610at_nat: set_Pr938417207581201730at_nat > set_Pr938417207581201730at_nat > $o). 9.83/10.12 thf(decl_101, type, ord_le3218026494883419554at_nat: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > $o). 9.83/10.12 thf(decl_102, type, ord_le7094820750414311574at_nat: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > $o). 9.83/10.12 thf(decl_103, type, ord_le3000389064537975527at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > $o). 9.83/10.12 thf(decl_104, type, ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_105, type, ord_le5997549366648089703at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > $o). 9.83/10.12 thf(decl_106, type, ord_le2077887516847798113at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o). 9.83/10.12 thf(decl_107, type, ord_le7966958417815640519at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > $o). 9.83/10.12 thf(decl_108, type, ordering_top_nat: (nat > nat > $o) > (nat > nat > $o) > nat > $o). 9.83/10.12 thf(decl_109, type, produc3209952032786966637at_nat: (nat > nat > nat) > produc7248412053542808358at_nat > produc4471711990508489141at_nat). 9.83/10.12 thf(decl_110, type, produc5613187191137109610at_nat: (nat > product_prod_nat_nat > product_prod_nat_nat) > produc8642769642335960151at_nat > produc1006187107752334136at_nat). 9.83/10.12 thf(decl_111, type, produc6946095096907300048at_nat: (nat > produc859450856879609959at_nat > produc859450856879609959at_nat) > produc5141700283184782781at_nat > produc5495936902713991454at_nat). 9.83/10.12 thf(decl_112, type, produc5312547457228651728at_nat: (nat > produc3843707927480180839at_nat > produc3843707927480180839at_nat) > produc8250271340724839869at_nat > produc2512742060442720542at_nat). 9.83/10.12 thf(decl_113, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 9.83/10.12 thf(decl_114, type, produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_115, type, produc6385450045882626063at_nat: nat > produc7248412053542808358at_nat > produc8642769642335960151at_nat). 9.83/10.12 thf(decl_116, type, produc6506279576108884981at_nat: nat > produc2487518378626728076at_nat > produc5141700283184782781at_nat). 9.83/10.12 thf(decl_117, type, produc4501533817385751541at_nat: nat > produc4916430405095635084at_nat > produc8250271340724839869at_nat). 9.83/10.12 thf(decl_118, type, produc7482930922861554750at_nat: nat > produc859450856879609959at_nat > produc2487518378626728076at_nat). 9.83/10.12 thf(decl_119, type, produc9088519535381019710at_nat: nat > produc3843707927480180839at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_120, type, produc5463602008962177208at_nat: nat > set_Pr1261947904930325089at_nat > produc3313772616054891654at_nat). 9.83/10.12 thf(decl_121, type, produc6350711070570205562at_nat: product_prod_nat_nat > nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_122, type, produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_123, type, produc5496787636967163197at_nat: product_prod_nat_nat > produc859450856879609959at_nat > produc39072733474941005at_nat). 9.83/10.12 thf(decl_124, type, produc8594291983450332477at_nat: product_prod_nat_nat > produc3843707927480180839at_nat > produc8430705068416227405at_nat). 9.83/10.12 thf(decl_125, type, produc5966227314700062775at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > produc7192094812858977735at_nat). 9.83/10.12 thf(decl_126, type, produc3953386439817274767at_nat: produc7248412053542808358at_nat > nat > produc3136521670814078679at_nat). 9.83/10.12 thf(decl_127, type, produc2653010282673554021at_nat: produc7248412053542808358at_nat > produc7248412053542808358at_nat > produc6277219514840344877at_nat). 9.83/10.12 thf(decl_128, type, produc6937405043687451825at_nat: produc4916430405095635084at_nat > produc4916430405095635084at_nat > produc2408494643003009913at_nat). 9.83/10.12 thf(decl_129, type, produc2764595351488142185at_nat: produc8373899037510109440at_nat > nat > produc1947730582484946097at_nat). 9.83/10.12 thf(decl_130, type, produc3352399374197622312at_nat: produc8373899037510109440at_nat > product_prod_nat_nat > produc9102564260010038134at_nat). 9.83/10.12 thf(decl_131, type, produc7904928797850150681at_nat: produc8373899037510109440at_nat > produc8373899037510109440at_nat > produc5224906263214031073at_nat). 9.83/10.12 thf(decl_132, type, produc1860397064299428849at_nat: produc859450856879609959at_nat > product_prod_nat_nat > produc7148259590854449153at_nat). 9.83/10.12 thf(decl_133, type, produc4662710985925991255at_nat: produc859450856879609959at_nat > produc859450856879609959at_nat > produc349518998152878311at_nat). 9.83/10.12 thf(decl_134, type, produc636707851812660055at_nat: produc859450856879609959at_nat > produc3843707927480180839at_nat > produc1034191653824608487at_nat). 9.83/10.12 thf(decl_135, type, produc5023393015413421041at_nat: produc3843707927480180839at_nat > product_prod_nat_nat > produc560747048475658241at_nat). 9.83/10.12 thf(decl_136, type, produc7876194928227783511at_nat: produc3843707927480180839at_nat > produc859450856879609959at_nat > produc2452414285143607527at_nat). 9.83/10.12 thf(decl_137, type, produc2335810615602371415at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc1906917888121415911at_nat). 9.83/10.12 thf(decl_138, type, produc3149970401713881818at_nat: set_Pr1261947904930325089at_nat > nat > produc366245978424229472at_nat). 9.83/10.12 thf(decl_139, type, produc4320700058201173367at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat > produc427138148967705351at_nat). 9.83/10.12 thf(decl_140, type, produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_141, type, produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat). 9.83/10.12 thf(decl_142, type, produc457027306803732586at_nat: set_nat > (nat > set_nat) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_143, type, produc1809337555817847783at_nat: set_nat > (nat > set_Pr1261947904930325089at_nat) > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_144, type, produc2984991792756730048at_nat: set_nat > (nat > set_Pr7717912310451564380at_nat) > set_Pr58315729134567223at_nat). 9.83/10.12 thf(decl_145, type, produc4110478776724031130at_nat: set_nat > (nat > set_Pr2539167527615954998at_nat) > set_Pr6678725858470953745at_nat). 9.83/10.12 thf(decl_146, type, produc5822243379040957005at_nat: set_nat > (nat > set_Pr8693737435421807431at_nat) > set_Pr938417207581201730at_nat). 9.83/10.12 thf(decl_147, type, produc396409126344608333at_nat: set_nat > (nat > set_Pr4329608150637261639at_nat) > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_148, type, produc8990678298794333511at_nat: set_nat > (nat > set_se7855581050983116737at_nat) > set_Pr6942101444853779644at_nat). 9.83/10.12 thf(decl_149, type, produc7672662199629908489at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > set_Pr2539167527615954998at_nat). 9.83/10.12 thf(decl_150, type, produc2761391749766926216at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_151, type, produc7465995907834253422at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr8693737435421807431at_nat) > set_Pr9129816769188007085at_nat). 9.83/10.12 thf(decl_152, type, produc3090783324798197870at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr4329608150637261639at_nat) > set_Pr6615861603993638061at_nat). 9.83/10.12 thf(decl_153, type, produc8474570680334910696at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_se7855581050983116737at_nat) > set_Pr3940057448221492391at_nat). 9.83/10.12 thf(decl_154, type, produc552928186691378752at_nat: set_Pr7717912310451564380at_nat > (produc7248412053542808358at_nat > set_nat) > set_Pr343651834943379895at_nat). 9.83/10.12 thf(decl_155, type, produc8587509135217021978at_nat: set_Pr2539167527615954998at_nat > (produc8373899037510109440at_nat > set_nat) > set_Pr4488514390280290961at_nat). 9.83/10.12 thf(decl_156, type, produc1095920968030776047at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_nat) > set_Pr552903133987017116at_nat). 9.83/10.12 thf(decl_157, type, produc8743256393616062242at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > set_Pr1868028757359454817at_nat). 9.83/10.12 thf(decl_158, type, produc4441300235185154312at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat) > set_Pr5564308138774400199at_nat). 9.83/10.12 thf(decl_159, type, produc6677046691546038121at_nat: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_nat) > set_Pr8606114833604991382at_nat). 9.83/10.12 thf(decl_160, type, produc6829043423836021288at_nat: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > set_Pr1994009446650380775at_nat). 9.83/10.12 thf(decl_161, type, produc7726050920695093128at_nat: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_162, type, produc6258361011560675592at_nat: set_se5479201105039950375at_nat > (set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat) > set_Pr7459493094073627847at_nat). 9.83/10.12 thf(decl_163, type, produc929334515565554804at_nat: set_nat > set_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_164, type, produc4489636895214803805at_nat: set_nat > set_Pr1261947904930325089at_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_165, type, produc197860983732965571at_nat: set_nat > set_Pr4329608150637261639at_nat > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_166, type, produc1129589502172088703at_nat: set_Pr1261947904930325089at_nat > set_nat > set_Pr2539167527615954998at_nat). 9.83/10.12 thf(decl_167, type, produc6773009516019950738at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_168, type, produc3241716407206042770at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_169, type, image_nat_nat: set_Pr1261947904930325089at_nat > set_nat > set_nat). 9.83/10.12 thf(decl_170, type, image_8130187405840929308at_nat: set_Pr7717912310451564380at_nat > set_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_171, type, image_2707938158059076683at_nat: set_Pr58315729134567223at_nat > set_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_172, type, image_7798130008508065026at_nat: set_Pr938417207581201730at_nat > set_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_173, type, image_6013338411296380162at_nat: set_Pr1625285437083415874at_nat > set_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_174, type, image_6519660115594622844at_nat: set_Pr6942101444853779644at_nat > set_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_175, type, image_4770140012798214206at_nat: set_Pr2539167527615954998at_nat > set_Pr1261947904930325089at_nat > set_nat). 9.83/10.12 thf(decl_176, type, image_2484338115069272851at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_177, type, image_8438546471840335737at_nat: set_Pr9129816769188007085at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_178, type, image_2324999400750382969at_nat: set_Pr6615861603993638061at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_179, type, image_1450435508483091571at_nat: set_Pr3940057448221492391at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_180, type, image_275874551993725387at_nat: set_Pr343651834943379895at_nat > set_Pr7717912310451564380at_nat > set_nat). 9.83/10.12 thf(decl_181, type, image_5594769117546726561at_nat: set_Pr575275573428919693at_nat > set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_182, type, image_3200835292354943725at_nat: set_Pr3682919485507723993at_nat > set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_183, type, image_8310455500519368613at_nat: set_Pr4488514390280290961at_nat > set_Pr2539167527615954998at_nat > set_nat). 9.83/10.12 thf(decl_184, type, image_3667598459844132588at_nat: set_Pr1264548681541112620at_nat > set_Pr2539167527615954998at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_185, type, image_1623315595868547413at_nat: set_Pr7116486347545156417at_nat > set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat). 9.83/10.12 thf(decl_186, type, image_4802155899172601389at_nat: set_Pr846279711151727201at_nat > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_187, type, image_2092125385209402259at_nat: set_Pr553994874890374343at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_188, type, image_6139368385878604691at_nat: set_Pr2541250129553540295at_nat > set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_189, type, image_6712850252982547876at_nat: set_Pr552903133987017116at_nat > set_Pr4329608150637261639at_nat > set_nat). 9.83/10.12 thf(decl_190, type, image_7977472469568247341at_nat: set_Pr1868028757359454817at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_191, type, image_4155483425438952339at_nat: set_Pr5231384780926129351at_nat > set_Pr4329608150637261639at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_192, type, image_3736809421353964435at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_193, type, image_4206028508346327454at_nat: set_Pr8606114833604991382at_nat > set_se7855581050983116737at_nat > set_nat). 9.83/10.12 thf(decl_194, type, image_9028280288838977971at_nat: set_Pr1994009446650380775at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_195, type, image_3892192845344445203at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_196, type, image_5662281817830198163at_nat: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat). 9.83/10.12 thf(decl_197, type, total_3592101749530773125at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o). 9.83/10.12 thf(decl_198, type, collect_nat: (nat > $o) > set_nat). 9.83/10.12 thf(decl_199, type, collec3392354462482085612at_nat: (product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_200, type, collec5903703980526211963at_nat: (produc7248412053542808358at_nat > $o) > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_201, type, collec81509321944532321at_nat: (produc4916430405095635084at_nat > $o) > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_202, type, collec7029190964493513045at_nat: (produc8373899037510109440at_nat > $o) > set_Pr2539167527615954998at_nat). 9.83/10.12 thf(decl_203, type, collec7088162979684241874at_nat: (produc859450856879609959at_nat > $o) > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_204, type, collec6321179662152712658at_nat: (produc3843707927480180839at_nat > $o) > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_205, type, collec5514110066124741708at_nat: (set_Pr1261947904930325089at_nat > $o) > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_206, type, collec4573900263915890866at_nat: (set_Pr4329608150637261639at_nat > $o) > set_se5479201105039950375at_nat). 9.83/10.12 thf(decl_207, type, disjnt_nat: set_nat > set_nat > $o). 9.83/10.12 thf(decl_208, type, disjnt2713546992526078024at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_209, type, disjnt3922803791469180703at_nat: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > $o). 9.83/10.12 thf(decl_210, type, disjnt6745707391641436933at_nat: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > $o). 9.83/10.12 thf(decl_211, type, disjnt5048290775436481785at_nat: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > $o). 9.83/10.12 thf(decl_212, type, disjnt5307706243525792046at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > $o). 9.83/10.12 thf(decl_213, type, disjnt7512751716740456750at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_214, type, disjnt2544082741087298984at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o). 9.83/10.12 thf(decl_215, type, disjnt8392056708997208078at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > $o). 9.83/10.12 thf(decl_216, type, insert_nat: nat > set_nat > set_nat). 9.83/10.12 thf(decl_217, type, insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_218, type, insert956419464969404758at_nat: produc7248412053542808358at_nat > set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_219, type, insert8586428792710317756at_nat: produc4916430405095635084at_nat > set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_220, type, insert2081906448936705840at_nat: produc8373899037510109440at_nat > set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat). 9.83/10.12 thf(decl_221, type, insert5050368324300391991at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_222, type, insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_223, type, insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_224, type, insert2290795007606087959at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat). 9.83/10.12 thf(decl_225, type, is_empty_nat: set_nat > $o). 9.83/10.12 thf(decl_226, type, is_emp1662574758705540307at_nat: set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_227, type, is_emp7010549773332283604at_nat: set_Pr7717912310451564380at_nat > $o). 9.83/10.12 thf(decl_228, type, is_emp5720338239738913082at_nat: set_Pr1625285437083415874at_nat > $o). 9.83/10.12 thf(decl_229, type, is_emp8136036757299584686at_nat: set_Pr2539167527615954998at_nat > $o). 9.83/10.12 thf(decl_230, type, is_emp7572232645145209145at_nat: set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_231, type, is_emp2435511341578597939at_nat: set_se7855581050983116737at_nat > $o). 9.83/10.12 thf(decl_232, type, is_emp2602543174009386009at_nat: set_se5479201105039950375at_nat > $o). 9.83/10.12 thf(decl_233, type, is_singleton_nat: set_nat > $o). 9.83/10.12 thf(decl_234, type, is_sin2850979758926227957at_nat: set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_235, type, is_sin2139852388697575730at_nat: set_Pr7717912310451564380at_nat > $o). 9.83/10.12 thf(decl_236, type, is_sin3803928952502320280at_nat: set_Pr1625285437083415874at_nat > $o). 9.83/10.12 thf(decl_237, type, is_sin3265339372664876812at_nat: set_Pr2539167527615954998at_nat > $o). 9.83/10.12 thf(decl_238, type, is_sin3461952106595595099at_nat: set_Pr8693737435421807431at_nat > $o). 9.83/10.12 thf(decl_239, type, is_sin2937591304547752795at_nat: set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_240, type, is_sin6602551457450847061at_nat: set_se7855581050983116737at_nat > $o). 9.83/10.12 thf(decl_241, type, is_sin6410723906220596795at_nat: set_se5479201105039950375at_nat > $o). 9.83/10.12 thf(decl_242, type, the_elem_nat: set_nat > nat). 9.83/10.12 thf(decl_243, type, the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_244, type, the_el7194336947321039217at_nat: set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_245, type, the_el8568272890417619543at_nat: set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_246, type, the_el8319823931288340299at_nat: set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_247, type, the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_248, type, the_el5855243865888688598at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_249, type, the_el608315491024097084at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_250, type, set_ord_lessThan_nat: nat > set_nat). 9.83/10.12 thf(decl_251, type, max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_252, type, min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_253, type, member_nat: nat > set_nat > $o). 9.83/10.12 thf(decl_254, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_255, type, member2223272150424702269at_nat: produc7248412053542808358at_nat > set_Pr7717912310451564380at_nat > $o). 9.83/10.12 thf(decl_256, type, member6766774627807740288at_nat: produc8642769642335960151at_nat > set_Pr58315729134567223at_nat > $o). 9.83/10.12 thf(decl_257, type, member5754182594613576739at_nat: produc2487518378626728076at_nat > set_Pr938417207581201730at_nat > $o). 9.83/10.12 thf(decl_258, type, member604331659597464611at_nat: produc4916430405095635084at_nat > set_Pr1625285437083415874at_nat > $o). 9.83/10.12 thf(decl_259, type, member387914604272134813at_nat: produc3313772616054891654at_nat > set_Pr6942101444853779644at_nat > $o). 9.83/10.12 thf(decl_260, type, member3348759134392003351at_nat: produc8373899037510109440at_nat > set_Pr2539167527615954998at_nat > $o). 9.83/10.12 thf(decl_261, type, member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o). 9.83/10.12 thf(decl_262, type, member6033505038158179318at_nat: produc39072733474941005at_nat > set_Pr9129816769188007085at_nat > $o). 9.83/10.12 thf(decl_263, type, member600271025443689462at_nat: produc8430705068416227405at_nat > set_Pr6615861603993638061at_nat > $o). 9.83/10.12 thf(decl_264, type, member1748360196341018352at_nat: produc7192094812858977735at_nat > set_Pr3940057448221492391at_nat > $o). 9.83/10.12 thf(decl_265, type, member1260526656285858816at_nat: produc3136521670814078679at_nat > set_Pr343651834943379895at_nat > $o). 9.83/10.12 thf(decl_266, type, member3048279782668807382at_nat: produc6277219514840344877at_nat > set_Pr575275573428919693at_nat > $o). 9.83/10.12 thf(decl_267, type, member5461688064492674082at_nat: produc2408494643003009913at_nat > set_Pr3682919485507723993at_nat > $o). 9.83/10.12 thf(decl_268, type, member71735567956726234at_nat: produc1947730582484946097at_nat > set_Pr4488514390280290961at_nat > $o). 9.83/10.12 thf(decl_269, type, member3145856439142110989at_nat: produc9102564260010038134at_nat > set_Pr1264548681541112620at_nat > $o). 9.83/10.12 thf(decl_270, type, member1995966531042493578at_nat: produc5224906263214031073at_nat > set_Pr7116486347545156417at_nat > $o). 9.83/10.12 thf(decl_271, type, member3919319858682911658at_nat: produc7148259590854449153at_nat > set_Pr846279711151727201at_nat > $o). 9.83/10.12 thf(decl_272, type, member8062223511168850704at_nat: produc349518998152878311at_nat > set_Pr553994874890374343at_nat > $o). 9.83/10.12 thf(decl_273, type, member402237021265326864at_nat: produc1034191653824608487at_nat > set_Pr2541250129553540295at_nat > $o). 9.83/10.12 thf(decl_274, type, member1953685042357896106at_nat: produc560747048475658241at_nat > set_Pr1868028757359454817at_nat > $o). 9.83/10.12 thf(decl_275, type, member1820459652584325904at_nat: produc2452414285143607527at_nat > set_Pr5231384780926129351at_nat > $o). 9.83/10.12 thf(decl_276, type, member6009668390874684176at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > $o). 9.83/10.12 thf(decl_277, type, member6663760003496248439at_nat: produc366245978424229472at_nat > set_Pr8606114833604991382at_nat > $o). 9.83/10.12 thf(decl_278, type, member4206775569304521776at_nat: produc427138148967705351at_nat > set_Pr1994009446650380775at_nat > $o). 9.83/10.12 thf(decl_279, type, member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o). 9.83/10.12 thf(decl_280, type, member1466754251312161552at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > $o). 9.83/10.12 thf(decl_281, type, member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o). 9.83/10.12 thf(decl_282, type, member6273874620674182256at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > $o). 9.83/10.12 thf(decl_283, type, n: nat). 9.83/10.12 thf(decl_284, type, p: set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_285, type, r: list_set_nat). 9.83/10.12 thf(decl_286, type, u: nat). 9.83/10.12 thf(decl_287, type, v: nat). 9.83/10.12 thf(decl_288, type, esk1_1: set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_289, type, esk2_1: set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_290, type, esk3_1: set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_291, type, esk4_2: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_292, type, esk5_4: product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_293, type, esk6_2: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_294, type, esk7_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat). 9.83/10.12 thf(decl_295, type, esk8_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat). 9.83/10.12 thf(decl_296, type, esk9_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_297, type, esk10_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_298, type, esk11_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_299, type, esk12_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_300, type, esk13_1: (produc39072733474941005at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_301, type, esk14_1: (produc39072733474941005at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_302, type, esk15_1: (produc39072733474941005at_nat > $o) > nat). 9.83/10.12 thf(decl_303, type, esk16_1: (produc39072733474941005at_nat > $o) > nat). 9.83/10.12 thf(decl_304, type, esk17_1: (produc2487518378626728076at_nat > $o) > nat). 9.83/10.12 thf(decl_305, type, esk18_1: (produc2487518378626728076at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_306, type, esk19_1: (produc2487518378626728076at_nat > $o) > nat). 9.83/10.12 thf(decl_307, type, esk20_1: (produc2487518378626728076at_nat > $o) > nat). 9.83/10.12 thf(decl_308, type, esk21_1: (produc859450856879609959at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_309, type, esk22_1: (produc859450856879609959at_nat > $o) > nat). 9.83/10.12 thf(decl_310, type, esk23_1: (produc859450856879609959at_nat > $o) > nat). 9.83/10.12 thf(decl_311, type, esk24_1: (produc7248412053542808358at_nat > $o) > nat). 9.83/10.12 thf(decl_312, type, esk25_1: (produc7248412053542808358at_nat > $o) > nat). 9.83/10.12 thf(decl_313, type, esk26_1: (produc7248412053542808358at_nat > $o) > nat). 9.83/10.12 thf(decl_314, type, esk27_1: produc39072733474941005at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_315, type, esk28_1: produc39072733474941005at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_316, type, esk29_1: produc39072733474941005at_nat > nat). 9.83/10.12 thf(decl_317, type, esk30_1: produc39072733474941005at_nat > nat). 9.83/10.12 thf(decl_318, type, esk31_1: produc2487518378626728076at_nat > nat). 9.83/10.12 thf(decl_319, type, esk32_1: produc2487518378626728076at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_320, type, esk33_1: produc2487518378626728076at_nat > nat). 9.83/10.12 thf(decl_321, type, esk34_1: produc2487518378626728076at_nat > nat). 9.83/10.12 thf(decl_322, type, esk35_1: produc859450856879609959at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_323, type, esk36_1: produc859450856879609959at_nat > nat). 9.83/10.12 thf(decl_324, type, esk37_1: produc859450856879609959at_nat > nat). 9.83/10.12 thf(decl_325, type, esk38_1: produc7248412053542808358at_nat > nat). 9.83/10.12 thf(decl_326, type, esk39_1: produc7248412053542808358at_nat > nat). 9.83/10.12 thf(decl_327, type, esk40_1: produc7248412053542808358at_nat > nat). 9.83/10.12 thf(decl_328, type, esk41_1: (product_prod_nat_nat > $o) > nat). 9.83/10.12 thf(decl_329, type, esk42_1: (product_prod_nat_nat > $o) > nat). 9.83/10.12 thf(decl_330, type, esk43_1: product_prod_nat_nat > nat). 9.83/10.12 thf(decl_331, type, esk44_1: product_prod_nat_nat > nat). 9.83/10.12 thf(decl_332, type, esk45_1: product_prod_nat_nat > nat). 9.83/10.12 thf(decl_333, type, esk46_1: product_prod_nat_nat > nat). 9.83/10.12 thf(decl_334, type, esk47_3: product_prod_nat_nat > set_nat > (nat > set_nat) > nat). 9.83/10.12 thf(decl_335, type, esk48_3: product_prod_nat_nat > set_nat > (nat > set_nat) > nat). 9.83/10.12 thf(decl_336, type, esk49_3: nat > set_Pr1261947904930325089at_nat > set_nat > nat). 9.83/10.12 thf(decl_337, type, esk50_3: nat > set_Pr1261947904930325089at_nat > set_nat > nat). 9.83/10.12 thf(decl_338, type, esk51_2: nat > set_nat > set_nat). 9.83/10.12 thf(decl_339, type, esk52_4: nat > set_nat > nat > set_nat > set_nat). 9.83/10.12 thf(decl_340, type, esk53_2: nat > set_nat > set_nat). 9.83/10.12 thf(decl_341, type, esk54_1: (nat > $o) > nat). 9.83/10.12 thf(decl_342, type, esk55_1: (nat > $o) > nat). 9.83/10.12 thf(decl_343, type, esk56_1: set_nat > nat). 9.83/10.12 thf(decl_344, type, esk57_1: set_nat > nat). 9.83/10.12 thf(decl_345, type, esk58_1: set_nat > nat). 9.83/10.12 thf(decl_346, type, esk59_2: set_nat > (nat > set_nat) > nat). 9.83/10.12 thf(decl_347, type, esk60_2: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_348, type, esk61_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_349, type, esk62_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_350, type, esk63_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_351, type, esk64_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_352, type, esk65_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat). 9.83/10.12 thf(decl_353, type, esk66_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat). 9.83/10.12 thf(decl_354, type, esk67_3: set_nat > (nat > set_nat) > set_nat > nat). 9.83/10.12 thf(decl_355, type, esk68_1: (product_prod_nat_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_356, type, esk69_1: (product_prod_nat_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_357, type, esk70_2: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_358, type, esk71_2: set_nat > (nat > set_Pr1261947904930325089at_nat) > nat). 9.83/10.12 thf(decl_359, type, esk72_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_360, type, esk73_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_361, type, esk74_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_362, type, esk75_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_363, type, esk76_1: (nat > $o) > nat). 9.83/10.12 thf(decl_364, type, esk77_2: (nat > $o) > nat > nat). 9.83/10.12 thf(decl_365, type, esk78_1: (produc39072733474941005at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_366, type, esk79_1: (produc39072733474941005at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_367, type, esk80_1: (produc39072733474941005at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_368, type, esk81_1: produc39072733474941005at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_369, type, esk82_1: produc39072733474941005at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_370, type, esk83_1: produc39072733474941005at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_371, type, esk84_1: (produc39072733474941005at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_372, type, esk85_1: (produc39072733474941005at_nat > $o) > produc859450856879609959at_nat). 9.83/10.12 thf(decl_373, type, esk86_1: produc39072733474941005at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_374, type, esk87_1: produc39072733474941005at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_375, type, esk88_1: produc39072733474941005at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_376, type, esk89_1: produc39072733474941005at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_377, type, esk90_2: set_Pr9129816769188007085at_nat > set_Pr9129816769188007085at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_378, type, esk91_2: set_Pr9129816769188007085at_nat > set_Pr9129816769188007085at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_379, type, esk92_1: (produc2487518378626728076at_nat > $o) > nat). 9.83/10.12 thf(decl_380, type, esk93_1: (produc2487518378626728076at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_381, type, esk94_1: (produc2487518378626728076at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_382, type, esk95_1: produc2487518378626728076at_nat > nat). 9.83/10.12 thf(decl_383, type, esk96_1: produc2487518378626728076at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_384, type, esk97_1: produc2487518378626728076at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_385, type, esk98_1: (produc859450856879609959at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_386, type, esk99_1: (produc859450856879609959at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_387, type, esk100_1: produc859450856879609959at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_388, type, esk101_1: produc859450856879609959at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_389, type, esk102_1: produc859450856879609959at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_390, type, esk103_1: produc859450856879609959at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_391, type, esk104_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_392, type, esk105_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_393, type, esk106_3: produc859450856879609959at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_394, type, esk107_3: produc859450856879609959at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_395, type, esk108_3: product_prod_nat_nat > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_396, type, esk109_3: product_prod_nat_nat > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_397, type, esk110_1: (produc2487518378626728076at_nat > $o) > nat). 9.83/10.12 thf(decl_398, type, esk111_1: (produc2487518378626728076at_nat > $o) > produc859450856879609959at_nat). 9.83/10.12 thf(decl_399, type, esk112_1: produc2487518378626728076at_nat > nat). 9.83/10.12 thf(decl_400, type, esk113_1: produc2487518378626728076at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_401, type, esk114_1: produc2487518378626728076at_nat > nat). 9.83/10.12 thf(decl_402, type, esk115_1: produc2487518378626728076at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_403, type, esk116_2: set_Pr938417207581201730at_nat > set_Pr938417207581201730at_nat > nat). 9.83/10.12 thf(decl_404, type, esk117_2: set_Pr938417207581201730at_nat > set_Pr938417207581201730at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_405, type, esk118_3: produc859450856879609959at_nat > set_Pr938417207581201730at_nat > set_nat > nat). 9.83/10.12 thf(decl_406, type, esk119_1: (produc7248412053542808358at_nat > $o) > nat). 9.83/10.12 thf(decl_407, type, esk120_1: (produc7248412053542808358at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_408, type, esk121_1: produc7248412053542808358at_nat > nat). 9.83/10.12 thf(decl_409, type, esk122_1: produc7248412053542808358at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_410, type, esk123_1: produc7248412053542808358at_nat > nat). 9.83/10.12 thf(decl_411, type, esk124_1: produc7248412053542808358at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_412, type, esk125_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > nat). 9.83/10.12 thf(decl_413, type, esk126_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_414, type, esk127_3: produc7248412053542808358at_nat > set_nat > (nat > set_Pr1261947904930325089at_nat) > nat). 9.83/10.12 thf(decl_415, type, esk128_3: produc7248412053542808358at_nat > set_nat > (nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_416, type, esk129_3: product_prod_nat_nat > set_Pr7717912310451564380at_nat > set_nat > nat). 9.83/10.12 thf(decl_417, type, esk130_3: product_prod_nat_nat > set_Pr7717912310451564380at_nat > set_nat > nat). 9.83/10.12 thf(decl_418, type, esk131_2: (nat > $o) > (nat > $o) > nat). 9.83/10.12 thf(decl_419, type, esk132_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat). 9.83/10.12 thf(decl_420, type, esk133_2: (nat > $o) > (nat > $o) > nat). 9.83/10.12 thf(decl_421, type, esk134_2: (nat > $o) > (nat > $o) > nat). 9.83/10.12 thf(decl_422, type, esk135_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > (product_prod_nat_nat > set_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_423, type, esk136_4: set_nat > set_nat > (nat > set_Pr4329608150637261639at_nat) > (nat > set_Pr4329608150637261639at_nat) > nat). 9.83/10.12 thf(decl_424, type, esk137_4: set_nat > set_nat > (nat > set_Pr1261947904930325089at_nat) > (nat > set_Pr1261947904930325089at_nat) > nat). 9.83/10.12 thf(decl_425, type, esk138_3: set_nat > (nat > set_Pr1261947904930325089at_nat) > set_nat > nat). 9.83/10.12 thf(decl_426, type, esk139_3: set_nat > (nat > set_Pr4329608150637261639at_nat) > set_nat > nat). 9.83/10.12 thf(decl_427, type, esk140_2: set_nat > set_nat > nat). 9.83/10.12 thf(decl_428, type, esk141_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_429, type, esk142_2: (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_430, type, esk143_2: (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_431, type, esk144_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_432, type, esk145_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_433, type, esk146_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_434, type, esk147_1: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_435, type, esk148_1: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_436, type, esk149_1: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_437, type, esk150_2: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_438, type, esk151_4: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_439, type, esk152_2: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_440, type, esk153_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_441, type, esk154_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_442, type, esk155_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_443, type, esk156_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_444, type, esk157_1: (set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_445, type, esk158_1: (set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_446, type, esk159_2: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_447, type, esk160_1: set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_448, type, esk161_1: set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_449, type, esk162_1: set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_450, type, esk163_3: produc8373899037510109440at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_451, type, esk164_3: produc8373899037510109440at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > nat). 9.83/10.12 thf(decl_452, type, esk165_2: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_453, type, esk166_2: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_454, type, esk167_2: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_455, type, esk168_2: set_Pr2539167527615954998at_nat > set_Pr2539167527615954998at_nat > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_456, type, esk169_1: set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_457, type, esk170_1: set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_458, type, esk171_1: set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_459, type, esk172_2: produc7248412053542808358at_nat > set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_460, type, esk173_4: produc7248412053542808358at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat > set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_461, type, esk174_2: produc7248412053542808358at_nat > set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat). 9.83/10.12 thf(decl_462, type, esk175_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_463, type, esk176_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_464, type, esk177_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_465, type, esk178_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_466, type, esk179_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_467, type, esk180_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_468, type, esk181_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_469, type, esk182_1: (produc7248412053542808358at_nat > $o) > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_470, type, esk183_1: (produc7248412053542808358at_nat > $o) > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_471, type, esk184_4: set_nat > set_nat > (nat > set_Pr1261947904930325089at_nat) > (nat > set_Pr1261947904930325089at_nat) > nat). 9.83/10.12 thf(decl_472, type, esk185_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > (product_prod_nat_nat > set_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_473, type, esk186_3: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_474, type, esk187_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_475, type, esk188_3: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_476, type, esk189_4: nat > nat > (nat > nat) > nat > nat). 9.83/10.12 thf(decl_477, type, esk190_4: nat > nat > (nat > nat) > nat > nat). 9.83/10.12 thf(decl_478, type, esk191_4: nat > (nat > nat) > nat > nat > nat). 9.83/10.12 thf(decl_479, type, esk192_4: nat > (nat > nat) > nat > nat > nat). 9.83/10.12 thf(decl_480, type, esk193_4: nat > nat > (nat > nat) > nat > nat). 9.83/10.12 thf(decl_481, type, esk194_4: nat > nat > (nat > nat) > nat > nat). 9.83/10.12 thf(decl_482, type, esk195_4: nat > (nat > nat) > nat > nat > nat). 9.83/10.12 thf(decl_483, type, esk196_4: nat > (nat > nat) > nat > nat > nat). 9.83/10.12 thf(decl_484, type, esk197_1: (nat > nat > $o) > nat). 9.83/10.12 thf(decl_485, type, esk198_1: (nat > nat > $o) > nat). 9.83/10.12 thf(decl_486, type, esk199_1: (nat > nat > $o) > nat). 9.83/10.12 thf(decl_487, type, esk200_1: (nat > nat > $o) > nat). 9.83/10.12 thf(decl_488, type, esk201_2: (nat > $o) > nat > nat). 9.83/10.12 thf(decl_489, type, esk202_1: (nat > $o) > nat). 9.83/10.12 thf(decl_490, type, esk203_2: (nat > $o) > nat > nat). 9.83/10.12 thf(decl_491, type, esk204_1: (nat > $o) > nat). 9.83/10.12 thf(decl_492, type, esk205_1: (nat > nat) > nat). 9.83/10.12 thf(decl_493, type, esk206_1: (nat > nat) > nat). 9.83/10.12 thf(decl_494, type, esk207_2: nat > (nat > $o) > nat). 9.83/10.12 thf(decl_495, type, esk208_2: nat > (nat > $o) > nat). 9.83/10.12 thf(decl_496, type, esk209_1: set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_497, type, esk210_1: set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_498, type, esk211_1: set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_499, type, esk212_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_500, type, esk213_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_501, type, esk214_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat). 9.83/10.12 thf(decl_502, type, esk215_2: (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_503, type, esk216_2: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_504, type, esk217_4: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_505, type, esk218_2: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat). 9.83/10.12 thf(decl_506, type, esk219_4: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > $o) > (produc859450856879609959at_nat > $o) > produc859450856879609959at_nat). 9.83/10.12 thf(decl_507, type, esk220_4: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > (produc7248412053542808358at_nat > $o) > (produc7248412053542808358at_nat > $o) > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_508, type, esk221_1: (nat > $o) > nat). 9.83/10.12 thf(decl_509, type, esk222_1: (nat > $o) > nat). 9.83/10.12 thf(decl_510, type, esk223_3: produc859450856879609959at_nat > set_Pr9129816769188007085at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_511, type, esk224_3: nat > set_Pr2539167527615954998at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_512, type, esk225_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_513, type, esk226_4: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > (produc4916430405095635084at_nat > $o) > (produc4916430405095635084at_nat > $o) > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_514, type, esk227_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_515, type, esk228_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_516, type, esk229_4: set_nat > set_nat > (nat > set_Pr4329608150637261639at_nat) > (nat > set_Pr4329608150637261639at_nat) > nat). 9.83/10.12 thf(decl_517, type, esk230_2: set_nat > (nat > set_Pr4329608150637261639at_nat) > nat). 9.83/10.12 thf(decl_518, type, esk231_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_519, type, esk232_4: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > $o) > (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_520, type, esk233_2: (produc3843707927480180839at_nat > $o) > (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_521, type, esk234_2: (produc3843707927480180839at_nat > $o) > (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_522, type, esk235_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_523, type, esk236_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_524, type, esk237_4: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_525, type, esk238_3: produc3843707927480180839at_nat > set_Pr1625285437083415874at_nat > set_nat > nat). 9.83/10.12 thf(decl_526, type, esk239_1: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_527, type, esk240_1: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_528, type, esk241_1: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_529, type, esk242_2: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_530, type, esk243_4: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_531, type, esk244_2: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_532, type, esk245_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_533, type, esk246_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_534, type, esk247_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_535, type, esk248_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_536, type, esk249_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_537, type, esk250_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_538, type, esk251_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_539, type, esk252_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_540, type, esk253_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_541, type, esk254_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_542, type, esk255_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat). 9.83/10.12 thf(decl_543, type, esk256_1: (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_544, type, esk257_1: (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_545, type, esk258_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_546, type, esk259_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_547, type, esk260_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_548, type, esk261_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_549, type, esk262_4: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_550, type, esk263_3: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_551, type, esk264_1: (produc8430705068416227405at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_552, type, esk265_1: (produc8430705068416227405at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_553, type, esk266_1: (produc8430705068416227405at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_554, type, esk267_1: (produc4916430405095635084at_nat > $o) > nat). 9.83/10.12 thf(decl_555, type, esk268_1: (produc4916430405095635084at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_556, type, esk269_1: (produc4916430405095635084at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_557, type, esk270_1: produc8430705068416227405at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_558, type, esk271_1: produc8430705068416227405at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_559, type, esk272_1: produc8430705068416227405at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_560, type, esk273_1: produc4916430405095635084at_nat > nat). 9.83/10.12 thf(decl_561, type, esk274_1: produc4916430405095635084at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_562, type, esk275_1: produc4916430405095635084at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_563, type, esk276_1: (produc3843707927480180839at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_564, type, esk277_1: (produc3843707927480180839at_nat > $o) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_565, type, esk278_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_566, type, esk279_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_567, type, esk280_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_568, type, esk281_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_569, type, esk282_3: set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_570, type, esk283_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_571, type, esk284_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_572, type, esk285_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_573, type, esk286_4: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_574, type, esk287_1: (produc8373899037510109440at_nat > $o) > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_575, type, esk288_1: (produc8373899037510109440at_nat > $o) > produc8373899037510109440at_nat). 9.83/10.12 thf(decl_576, type, esk289_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat). 9.83/10.12 thf(decl_577, type, esk290_2: produc4916430405095635084at_nat > set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_578, type, esk291_4: produc4916430405095635084at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat > set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_579, type, esk292_2: produc4916430405095635084at_nat > set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat). 9.83/10.12 thf(decl_580, type, esk293_1: (produc4916430405095635084at_nat > $o) > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_581, type, esk294_1: (produc4916430405095635084at_nat > $o) > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_582, type, esk295_1: set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_583, type, esk296_1: set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_584, type, esk297_1: set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat). 9.83/10.12 thf(decl_585, type, esk298_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > nat). 9.83/10.12 thf(decl_586, type, esk299_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_587, type, esk300_1: (produc4916430405095635084at_nat > $o) > nat). 9.83/10.12 thf(decl_588, type, esk301_1: (produc4916430405095635084at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_589, type, esk302_1: produc4916430405095635084at_nat > nat). 9.83/10.12 thf(decl_590, type, esk303_1: produc4916430405095635084at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_591, type, esk304_1: produc4916430405095635084at_nat > nat). 9.83/10.12 thf(decl_592, type, esk305_1: produc4916430405095635084at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_593, type, esk306_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_594, type, esk307_2: (produc3843707927480180839at_nat > $o) > (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_595, type, esk308_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_596, type, esk309_1: (produc8430705068416227405at_nat > $o) > product_prod_nat_nat). 9.83/10.12 thf(decl_597, type, esk310_1: (produc8430705068416227405at_nat > $o) > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_598, type, esk311_1: produc8430705068416227405at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_599, type, esk312_1: produc8430705068416227405at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_600, type, esk313_1: produc8430705068416227405at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_601, type, esk314_1: produc8430705068416227405at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_602, type, esk315_2: set_Pr6615861603993638061at_nat > set_Pr6615861603993638061at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_603, type, esk316_2: set_Pr6615861603993638061at_nat > set_Pr6615861603993638061at_nat > produc3843707927480180839at_nat). 9.83/10.12 thf(decl_604, type, esk317_3: produc3843707927480180839at_nat > set_Pr6615861603993638061at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat). 9.83/10.12 thf(decl_605, type, esk318_0: nat > set_nat). 9.83/10.12 thf(decl_606, type, esk319_0: nat > set_nat). 9.83/10.12 thf(decl_607, type, epred1_2: set_Pr1261947904930325089at_nat > nat > nat > $o). 9.83/10.12 thf(decl_608, type, epred2_1: nat > nat > $o). 9.83/10.12 thf(decl_609, type, epred3_2: (nat > $o) > nat > nat > $o). 9.83/10.12 thf(decl_610, type, epred4_2: set_nat > nat > nat > $o). 9.83/10.12 thf(decl_611, type, epred5_2: (nat > $o) > nat > nat > $o). 9.83/10.12 thf(decl_612, type, epred6_2: (nat > $o) > nat > nat > $o). 9.83/10.12 thf(decl_613, type, esk320_1: set_nat > nat > set_nat). 9.83/10.12 thf(decl_614, type, esk321_1: set_Pr1261947904930325089at_nat > nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_615, type, esk322_1: set_nat > product_prod_nat_nat > set_nat). 9.83/10.12 thf(decl_616, type, epred7_0: nat > $o). 9.83/10.12 thf(decl_617, type, esk323_2: (nat > set_nat) > (nat > set_nat) > nat > set_nat). 9.83/10.12 thf(decl_618, type, esk324_1: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_619, type, epred8_1: product_prod_nat_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_620, type, epred9_0: product_prod_nat_nat > $o). 9.83/10.12 thf(decl_621, type, epred10_2: (product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_622, type, epred11_2: (product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_623, type, epred12_2: (product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_624, type, epred13_2: set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_625, type, epred14_2: set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_626, type, epred15_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_627, type, epred16_2: (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_628, type, esk325_2: (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_629, type, esk326_2: (nat > set_Pr1261947904930325089at_nat) > (nat > set_Pr1261947904930325089at_nat) > nat > set_Pr1261947904930325089at_nat). 9.83/10.12 thf(decl_630, type, epred17_2: set_Pr938417207581201730at_nat > nat > produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_631, type, epred18_2: set_Pr7717912310451564380at_nat > nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_632, type, epred19_1: set_nat > nat > $o). 9.83/10.12 thf(decl_633, type, epred20_2: set_Pr2539167527615954998at_nat > product_prod_nat_nat > nat > $o). 9.83/10.12 thf(decl_634, type, epred21_2: set_nat > set_nat > nat > $o). 9.83/10.12 thf(decl_635, type, epred22_2: (nat > $o) > (nat > $o) > nat > $o). 9.83/10.12 thf(decl_636, type, epred23_2: (nat > $o) > set_nat > nat > $o). 9.83/10.12 thf(decl_637, type, esk327_1: set_Pr4329608150637261639at_nat > nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_638, type, esk328_2: (product_prod_nat_nat > set_nat) > (product_prod_nat_nat > set_nat) > product_prod_nat_nat > set_nat). 9.83/10.12 thf(decl_639, type, epred24_2: (product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_640, type, epred25_1: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_641, type, epred26_2: (set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_642, type, epred27_2: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_643, type, epred28_2: (set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_644, type, epred29_2: (set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_645, type, esk329_1: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_646, type, epred30_0: set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_647, type, epred31_1: produc8373899037510109440at_nat > produc8373899037510109440at_nat > $o). 9.83/10.12 thf(decl_648, type, epred32_2: (produc8373899037510109440at_nat > $o) > produc8373899037510109440at_nat > produc8373899037510109440at_nat > $o). 9.83/10.12 thf(decl_649, type, epred33_2: (produc8373899037510109440at_nat > $o) > produc8373899037510109440at_nat > produc8373899037510109440at_nat > $o). 9.83/10.12 thf(decl_650, type, epred34_1: produc7248412053542808358at_nat > produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_651, type, epred35_2: set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat > produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_652, type, epred36_2: (produc7248412053542808358at_nat > $o) > produc7248412053542808358at_nat > produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_653, type, epred37_2: (produc7248412053542808358at_nat > $o) > produc7248412053542808358at_nat > produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_654, type, epred38_0: produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_655, type, epred39_1: set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o). 9.83/10.12 thf(decl_656, type, epred40_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_657, type, epred41_2: set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_658, type, epred42_1: set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_659, type, epred43_2: set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_660, type, epred44_2: (produc859450856879609959at_nat > $o) > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > $o). 9.83/10.12 thf(decl_661, type, epred45_2: (produc4916430405095635084at_nat > $o) > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_662, type, esk330_2: (nat > set_Pr4329608150637261639at_nat) > (nat > set_Pr4329608150637261639at_nat) > nat > set_Pr4329608150637261639at_nat). 9.83/10.12 thf(decl_663, type, epred46_2: (produc3843707927480180839at_nat > $o) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_664, type, epred47_2: (produc7248412053542808358at_nat > $o) > set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_665, type, epred48_1: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_666, type, epred49_2: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_667, type, epred50_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_668, type, epred51_2: set_Pr1625285437083415874at_nat > set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_669, type, epred52_1: produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_670, type, epred53_0: produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_671, type, epred54_2: (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_672, type, epred55_2: (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_673, type, epred56_2: (produc3843707927480180839at_nat > $o) > (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(decl_674, type, esk331_2: (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat). 9.83/10.12 thf(decl_675, type, epred57_2: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_676, type, epred58_1: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_677, type, epred59_2: (set_Pr1261947904930325089at_nat > $o) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > $o). 9.83/10.12 thf(decl_678, type, epred60_0: produc8373899037510109440at_nat > $o). 9.83/10.12 thf(decl_679, type, epred61_1: set_Pr7717912310451564380at_nat > produc7248412053542808358at_nat > $o). 9.83/10.12 thf(decl_680, type, epred62_1: produc4916430405095635084at_nat > produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_681, type, epred63_2: set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat > produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_682, type, epred64_2: (produc4916430405095635084at_nat > $o) > produc4916430405095635084at_nat > produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_683, type, epred65_2: (produc4916430405095635084at_nat > $o) > produc4916430405095635084at_nat > produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_684, type, epred66_0: produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_685, type, epred67_1: set_Pr1625285437083415874at_nat > produc4916430405095635084at_nat > $o). 9.83/10.12 thf(decl_686, type, epred68_2: (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o). 9.83/10.12 thf(fact_115_empty__Collect__eq, axiom, ![X266:nat > $o]:((((bot_bot_set_nat)=(collect_nat @ X266))<=>![X267:nat]:(~((X266 @ X267))))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_115_empty__Collect__eq)). 9.83/10.12 thf(fact_541_Image__singleton, axiom, ![X3:set_Pr1261947904930325089at_nat, X4:nat]:(((image_nat_nat @ X3 @ (insert_nat @ X4 @ bot_bot_set_nat))=(collect_nat @ (^[X1353:nat]:((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X4 @ X1353) @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_541_Image__singleton)). 9.83/10.12 thf(conj_0, conjecture, (((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (set_ord_lessThan_nat @ n) @ (^[X1:nat]:(set_ord_lessThan_nat @ n))))&((image_nat_nat @ p @ (insert_nat @ u @ bot_bot_set_nat))=(image_nat_nat @ p @ (insert_nat @ v @ bot_bot_set_nat))))<=>(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p)), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', conj_0)). 9.83/10.12 thf(fact_552_equiv__class__eq__iff, axiom, ![X29:set_nat, X3:set_Pr1261947904930325089at_nat, X320:nat, X1379:nat]:(((equiv_equiv_nat @ X29 @ X3)=>((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X320 @ X1379) @ X3)<=>((((image_nat_nat @ X3 @ (insert_nat @ X320 @ bot_bot_set_nat))=(image_nat_nat @ X3 @ (insert_nat @ X1379 @ bot_bot_set_nat)))&(member_nat @ X320 @ X29))&(member_nat @ X1379 @ X29))))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_552_equiv__class__eq__iff)). 9.83/10.12 thf(fact_0_assms, axiom, (equiv_equiv_nat @ (set_ord_lessThan_nat @ n) @ p), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_0_assms)). 9.83/10.12 thf(fact_454_SigmaD2, axiom, ![X4:nat, X2:nat, X29:set_nat, X1078:nat > set_nat]:(((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X4 @ X2) @ (produc457027306803732586at_nat @ X29 @ X1078))=>(member_nat @ X2 @ (X1078 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_454_SigmaD2)). 9.83/10.12 thf(fact_288_mem__Collect__eq, axiom, ![X4:nat, X266:nat > $o]:(((member_nat @ X4 @ (collect_nat @ X266))<=>(X266 @ X4))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_288_mem__Collect__eq)). 9.83/10.12 thf(fact_242_equals0I, axiom, ![X29:set_nat]:((![X490:nat]:(~((member_nat @ X490 @ X29)))=>((X29)=(bot_bot_set_nat)))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_242_equals0I)). 9.83/10.12 thf(fact_2_Image__singleton__iff, axiom, ![X2:nat, X3:set_Pr1261947904930325089at_nat, X4:nat]:(((member_nat @ X2 @ (image_nat_nat @ X3 @ (insert_nat @ X4 @ bot_bot_set_nat)))<=>(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X4 @ X2) @ X3))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_2_Image__singleton__iff)). 9.83/10.12 thf(fact_587_equiv__class__self, axiom, ![X29:set_nat, X3:set_Pr1261947904930325089at_nat, X4:nat]:(((equiv_equiv_nat @ X29 @ X3)=>((member_nat @ X4 @ X29)=>(member_nat @ X4 @ (image_nat_nat @ X3 @ (insert_nat @ X4 @ bot_bot_set_nat)))))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_587_equiv__class__self)). 9.83/10.12 thf(fact_77_SigmaI, axiom, ![X4:nat, X29:set_nat, X2:nat, X152:nat > set_nat]:(((member_nat @ X4 @ X29)=>((member_nat @ X2 @ (X152 @ X4))=>(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X4 @ X2) @ (produc457027306803732586at_nat @ X29 @ X152))))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_77_SigmaI)). 9.83/10.12 thf(fact_214_surj__pair, axiom, ![X488:product_prod_nat_nat]:(?[X489:nat, X490:nat]:(((X488)=(product_Pair_nat_nat @ X489 @ X490)))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_214_surj__pair)). 9.83/10.12 thf(fact_97_old_Oprod_Oinject, axiom, ![X4:nat, X2:nat, X208:nat, X209:nat]:((((product_Pair_nat_nat @ X4 @ X2)=(product_Pair_nat_nat @ X208 @ X209))<=>(((X4)=(X208))&((X2)=(X209))))), file('/export/starexec/sandbox2/tmp/tmp.Kq9QurF4i4/Vampire---4.8_8770', fact_97_old_Oprod_Oinject)). 9.83/10.12 thf(c_0_13, plain, ![X266:nat > $o]:((((bot_bot_set_nat)=(collect_nat @ X266))<=>![X267:nat]:(~(X266 @ X267)))), inference(fof_simplification,[status(thm)],[fact_115_empty__Collect__eq])). 9.83/10.12 thf(c_0_14, plain, ![X3:set_Pr1261947904930325089at_nat, X4:nat]:(((image_nat_nat @ X3 @ (insert_nat @ X4 @ bot_bot_set_nat))=(collect_nat @ (^[Z0:nat]:((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X4 @ Z0) @ X3)))))), inference(fof_simplification,[status(thm)],[fact_541_Image__singleton])). 9.83/10.12 thf(c_0_15, negated_conjecture, ~((((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (set_ord_lessThan_nat @ n) @ (^[Z0:nat]:(set_ord_lessThan_nat @ n))))&((image_nat_nat @ p @ (insert_nat @ u @ bot_bot_set_nat))=(image_nat_nat @ p @ (insert_nat @ v @ bot_bot_set_nat))))<=>(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 9.83/10.12 thf(c_0_16, plain, ![X9179:nat]:(((esk318_0 @ X9179)=(set_ord_lessThan_nat @ n))), inference(variable_rename,[status(thm)],[])). 9.83/10.12 thf(c_0_17, plain, ![X6161:nat > $o, X6162:nat, X6163:nat > $o]:(((((bot_bot_set_nat)!=(collect_nat @ X6161))|~(X6161 @ X6162))&((X6163 @ (esk54_1 @ X6163))|((bot_bot_set_nat)=(collect_nat @ X6163))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])). 9.83/10.12 thf(c_0_18, plain, ![X5966:set_Pr1261947904930325089at_nat, X5967:nat]:(((image_nat_nat @ X5966 @ (insert_nat @ X5967 @ bot_bot_set_nat))=(collect_nat @ (^[Z0:nat]:((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5967 @ Z0) @ X5966)))))), inference(variable_rename,[status(thm)],[c_0_14])). 9.83/10.12 thf(c_0_19, plain, ![X8812:nat, X1:nat, X3:set_Pr1261947904930325089at_nat]:(((epred1_2 @ X3 @ X1 @ X8812)<=>(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X8812) @ X3))), introduced(definition)). 9.83/10.12 thf(c_0_20, negated_conjecture, ((~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (set_ord_lessThan_nat @ n) @ (^[Z0:nat]:(set_ord_lessThan_nat @ n))))|((image_nat_nat @ p @ (insert_nat @ u @ bot_bot_set_nat))!=(image_nat_nat @ p @ (insert_nat @ v @ bot_bot_set_nat)))|~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))&(((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (set_ord_lessThan_nat @ n) @ (^[Z0:nat]:(set_ord_lessThan_nat @ n))))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))&(((image_nat_nat @ p @ (insert_nat @ u @ bot_bot_set_nat))=(image_nat_nat @ p @ (insert_nat @ v @ bot_bot_set_nat)))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])). 9.83/10.12 thf(c_0_21, plain, ![X9180:nat]:(((esk319_0 @ X9180)=(image_nat_nat @ p @ (insert_nat @ X9180 @ bot_bot_set_nat)))), inference(variable_rename,[status(thm)],[])). 9.83/10.12 thf(c_0_22, plain, ![X1:nat]:(((esk318_0 @ X1)=(set_ord_lessThan_nat @ n))), inference(split_conjunct,[status(thm)],[c_0_16])). 9.83/10.12 thf(c_0_23, plain, ![X266:nat > $o, X1:nat]:((((bot_bot_set_nat)!=(collect_nat @ X266))|~((X266 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_17])). 9.83/10.12 thf(c_0_24, plain, ![X3:set_Pr1261947904930325089at_nat, X1:nat]:(((image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat))=(collect_nat @ (epred1_2 @ X3 @ X1)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18]), c_0_19])). 9.83/10.12 thf(c_0_25, plain, ![X9181:nat, X9182:nat, X9183:set_Pr1261947904930325089at_nat]:(((~(epred1_2 @ X9183 @ X9182 @ X9181)|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X9182 @ X9181) @ X9183))&(~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X9182 @ X9181) @ X9183)|(epred1_2 @ X9183 @ X9182 @ X9181)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])). 9.83/10.12 thf(c_0_26, plain, ![X8807:nat]:(((esk318_0 @ X8807)=(set_ord_lessThan_nat @ n))), introduced(definition)). 9.83/10.12 thf(c_0_27, plain, ![X5968:set_nat, X5969:set_Pr1261947904930325089at_nat, X5970:nat, X5971:nat]:(((((((image_nat_nat @ X5969 @ (insert_nat @ X5970 @ bot_bot_set_nat))=(image_nat_nat @ X5969 @ (insert_nat @ X5971 @ bot_bot_set_nat)))|~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5970 @ X5971) @ X5969)|~(equiv_equiv_nat @ X5968 @ X5969))&((member_nat @ X5970 @ X5968)|~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5970 @ X5971) @ X5969)|~(equiv_equiv_nat @ X5968 @ X5969)))&((member_nat @ X5971 @ X5968)|~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5970 @ X5971) @ X5969)|~(equiv_equiv_nat @ X5968 @ X5969)))&(((image_nat_nat @ X5969 @ (insert_nat @ X5970 @ bot_bot_set_nat))!=(image_nat_nat @ X5969 @ (insert_nat @ X5971 @ bot_bot_set_nat)))|~(member_nat @ X5970 @ X5968)|~(member_nat @ X5971 @ X5968)|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5970 @ X5971) @ X5969)|~(equiv_equiv_nat @ X5968 @ X5969)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_552_equiv__class__eq__iff])])])). 9.83/10.12 thf(c_0_28, negated_conjecture, (((image_nat_nat @ p @ (insert_nat @ u @ bot_bot_set_nat))=(image_nat_nat @ p @ (insert_nat @ v @ bot_bot_set_nat)))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p)), inference(split_conjunct,[status(thm)],[c_0_20])). 9.83/10.12 thf(c_0_29, plain, ![X1:nat]:(((esk319_0 @ X1)=(image_nat_nat @ p @ (insert_nat @ X1 @ bot_bot_set_nat)))), inference(split_conjunct,[status(thm)],[c_0_21])). 9.83/10.12 thf(c_0_30, plain, (equiv_equiv_nat @ (set_ord_lessThan_nat @ n) @ p), inference(split_conjunct,[status(thm)],[fact_0_assms])). 9.83/10.12 thf(c_0_31, plain, ![X1:nat]:(((esk318_0 @ X1)=(esk318_0 @ zero_zero_nat))), inference(rw,[status(thm)],[c_0_22, c_0_22])). 9.83/10.12 thf(c_0_32, plain, ![X1:nat, X3:set_Pr1261947904930325089at_nat, X2:nat]:((((image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat))!=(bot_bot_set_nat))|~((epred1_2 @ X3 @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 9.83/10.12 thf(c_0_33, plain, ![X1:nat, X2:nat, X3:set_Pr1261947904930325089at_nat]:(((epred1_2 @ X3 @ X1 @ X2)|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_25])). 9.83/10.12 thf(c_0_34, plain, ![X5937:nat, X5938:nat, X5939:set_nat, X5940:nat > set_nat]:((~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5937 @ X5938) @ (produc457027306803732586at_nat @ X5939 @ X5940))|(member_nat @ X5938 @ (X5940 @ X5937)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_454_SigmaD2])])). 9.83/10.12 thf(c_0_35, negated_conjecture, ((((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (set_ord_lessThan_nat @ n) @ esk318_0)))=(($true)))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p)), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20]), c_0_26])). 9.83/10.12 thf(c_0_36, plain, ![X1:nat, X2:nat, X29:set_nat, X3:set_Pr1261947904930325089at_nat]:((((image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat))=(image_nat_nat @ X3 @ (insert_nat @ X2 @ bot_bot_set_nat)))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ X3))|~((equiv_equiv_nat @ X29 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_27])). 9.83/10.12 thf(c_0_37, negated_conjecture, (((esk319_0 @ u)=(esk319_0 @ v))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29]), c_0_29])). 9.83/10.12 thf(c_0_38, plain, (equiv_equiv_nat @ (esk318_0 @ zero_zero_nat) @ p), inference(rw,[status(thm)],[c_0_30, c_0_22])). 9.83/10.12 thf(c_0_39, plain, ![X1:nat, X2:nat]:(((esk318_0 @ X1)=(esk318_0 @ X2))), inference(spm,[status(thm)],[c_0_31, c_0_31])). 9.83/10.12 thf(c_0_40, plain, ![X6729:nat, X6730:nat > $o]:(((~(member_nat @ X6729 @ (collect_nat @ X6730))|(X6730 @ X6729))&(~(X6730 @ X6729)|(member_nat @ X6729 @ (collect_nat @ X6730))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_mem__Collect__eq])])). 9.83/10.12 thf(c_0_41, plain, ![X29:set_nat]:((![X490:nat]:(~(member_nat @ X490 @ X29))=>((X29)=(bot_bot_set_nat)))), inference(fof_simplification,[status(thm)],[fact_242_equals0I])). 9.83/10.12 thf(c_0_42, plain, ![X1:nat, X2:nat, X3:set_Pr1261947904930325089at_nat]:((((image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat))!=(bot_bot_set_nat))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ X3)))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 9.83/10.12 thf(c_0_43, plain, ![X1:nat, X2:nat, X29:set_nat, X146:nat > set_nat]:(((member_nat @ X2 @ (X146 @ X1))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ (produc457027306803732586at_nat @ X29 @ X146))))), inference(split_conjunct,[status(thm)],[c_0_34])). 9.83/10.12 thf(c_0_44, negated_conjecture, ((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (esk318_0 @ zero_zero_nat) @ esk318_0))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_35]), c_0_22])). 9.83/10.12 thf(c_0_45, negated_conjecture, ![X29:set_nat]:((((esk319_0 @ u)=(esk319_0 @ v))|~((equiv_equiv_nat @ X29 @ p)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_29]), c_0_29])])). 9.83/10.12 thf(c_0_46, plain, ![X1:nat]:((equiv_equiv_nat @ (esk318_0 @ X1) @ p)), inference(spm,[status(thm)],[c_0_38, c_0_39])). 9.83/10.12 thf(c_0_47, plain, ![X1:nat, X266:nat > $o]:(((X266 @ X1)|~((member_nat @ X1 @ (collect_nat @ X266))))), inference(split_conjunct,[status(thm)],[c_0_40])). 9.83/10.12 thf(c_0_48, plain, ![X5856:nat, X5857:set_Pr1261947904930325089at_nat, X5858:nat]:(((~(member_nat @ X5856 @ (image_nat_nat @ X5857 @ (insert_nat @ X5858 @ bot_bot_set_nat)))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5858 @ X5856) @ X5857))&(~(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5858 @ X5856) @ X5857)|(member_nat @ X5856 @ (image_nat_nat @ X5857 @ (insert_nat @ X5858 @ bot_bot_set_nat)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_Image__singleton__iff])])). 9.83/10.12 thf(c_0_49, plain, ![X6178:set_nat]:(((member_nat @ (esk58_1 @ X6178) @ X6178)|((X6178)=(bot_bot_set_nat)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])). 9.83/10.12 thf(c_0_50, plain, ![X6003:set_nat, X6004:set_Pr1261947904930325089at_nat, X6005:nat]:((~(equiv_equiv_nat @ X6003 @ X6004)|(~(member_nat @ X6005 @ X6003)|(member_nat @ X6005 @ (image_nat_nat @ X6004 @ (insert_nat @ X6005 @ bot_bot_set_nat)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_587_equiv__class__self])])). 9.83/10.12 thf(c_0_51, plain, ![X1:nat, X2:nat]:((((esk319_0 @ X1)!=(bot_bot_set_nat))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ p)))), inference(spm,[status(thm)],[c_0_42, c_0_29])). 9.83/10.12 thf(c_0_52, negated_conjecture, ((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p)|(member_nat @ v @ (esk318_0 @ zero_zero_nat))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_39])). 9.83/10.12 thf(c_0_53, plain, ((esk319_0 @ u)=(esk319_0 @ v)), inference(spm,[status(thm)],[c_0_45, c_0_46])). 9.83/10.12 thf(c_0_54, plain, ![X3:set_Pr1261947904930325089at_nat, X2:nat, X1:nat]:(((epred1_2 @ X3 @ X1 @ X2)|~((member_nat @ X2 @ (image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat)))))), inference(spm,[status(thm)],[c_0_47, c_0_24])). 9.83/10.12 thf(c_0_55, negated_conjecture, (~((((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (set_ord_lessThan_nat @ n) @ esk318_0)))=(($true))))|((image_nat_nat @ p @ (insert_nat @ u @ bot_bot_set_nat))!=(image_nat_nat @ p @ (insert_nat @ v @ bot_bot_set_nat)))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20]), c_0_26])). 9.83/10.12 thf(c_0_56, plain, ![X1:nat, X3:set_Pr1261947904930325089at_nat, X2:nat]:(((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X2 @ X1) @ X3)|~((member_nat @ X1 @ (image_nat_nat @ X3 @ (insert_nat @ X2 @ bot_bot_set_nat)))))), inference(split_conjunct,[status(thm)],[c_0_48])). 9.83/10.12 thf(c_0_57, plain, ![X29:set_nat]:(((member_nat @ (esk58_1 @ X29) @ X29)|((X29)=(bot_bot_set_nat)))), inference(split_conjunct,[status(thm)],[c_0_49])). 9.83/10.12 thf(c_0_58, plain, ![X1:nat, X3:set_Pr1261947904930325089at_nat, X29:set_nat]:(((member_nat @ X1 @ (image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat)))|~((equiv_equiv_nat @ X29 @ X3))|~((member_nat @ X1 @ X29)))), inference(split_conjunct,[status(thm)],[c_0_50])). 9.83/10.12 thf(c_0_59, negated_conjecture, ((member_nat @ v @ (esk318_0 @ zero_zero_nat))|((esk319_0 @ v)!=(bot_bot_set_nat))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])). 9.83/10.12 thf(c_0_60, plain, ![X3:set_Pr1261947904930325089at_nat, X2:nat, X1:nat]:((((image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat))!=(bot_bot_set_nat))|~((member_nat @ X2 @ (image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat)))))), inference(spm,[status(thm)],[c_0_32, c_0_54])). 9.83/10.12 thf(c_0_61, negated_conjecture, (((image_nat_nat @ p @ (insert_nat @ u @ bot_bot_set_nat))!=(image_nat_nat @ p @ (insert_nat @ v @ bot_bot_set_nat)))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (esk318_0 @ zero_zero_nat) @ esk318_0)))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_55]), c_0_22])). 9.83/10.12 thf(c_0_62, plain, ![X5863:nat, X5864:set_nat, X5865:nat, X5866:nat > set_nat]:((~(member_nat @ X5863 @ X5864)|(~(member_nat @ X5865 @ (X5866 @ X5863))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X5863 @ X5865) @ (produc457027306803732586at_nat @ X5864 @ X5866))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_77_SigmaI])])). 9.83/10.12 thf(c_0_63, plain, ![X5927:product_prod_nat_nat]:(((X5927)=(product_Pair_nat_nat @ (esk43_1 @ X5927) @ (esk44_1 @ X5927)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_214_surj__pair])])). 9.83/10.12 thf(c_0_64, plain, ![X1:nat, X3:set_Pr1261947904930325089at_nat]:((((image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat))=(bot_bot_set_nat))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ (esk58_1 @ (image_nat_nat @ X3 @ (insert_nat @ X1 @ bot_bot_set_nat)))) @ X3))), inference(spm,[status(thm)],[c_0_56, c_0_57])). 9.83/10.12 thf(c_0_65, plain, ![X1:nat, X2:nat]:(((member_nat @ X1 @ (esk319_0 @ X1))|~((member_nat @ X1 @ (esk318_0 @ X2))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_46]), c_0_29])). 9.83/10.12 thf(c_0_66, plain, ![X1:nat]:(((member_nat @ v @ (esk318_0 @ X1))|((esk319_0 @ v)!=(bot_bot_set_nat)))), inference(spm,[status(thm)],[c_0_59, c_0_39])). 9.83/10.12 thf(c_0_67, plain, ![X2:nat, X1:nat]:((((esk319_0 @ X1)!=(bot_bot_set_nat))|~((member_nat @ X2 @ (esk319_0 @ X1))))), inference(spm,[status(thm)],[c_0_60, c_0_29])). 9.83/10.12 thf(c_0_68, plain, ![X5871:nat, X5872:nat, X5873:nat, X5874:nat]:((((((X5871)=(X5873))|((product_Pair_nat_nat @ X5871 @ X5872)!=(product_Pair_nat_nat @ X5873 @ X5874)))&(((X5872)=(X5874))|((product_Pair_nat_nat @ X5871 @ X5872)!=(product_Pair_nat_nat @ X5873 @ X5874))))&(((X5871)!=(X5873))|((X5872)!=(X5874))|((product_Pair_nat_nat @ X5871 @ X5872)=(product_Pair_nat_nat @ X5873 @ X5874))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_97_old_Oprod_Oinject])])])). 9.83/10.12 thf(c_0_69, negated_conjecture, (((esk319_0 @ u)!=(esk319_0 @ v))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ (produc457027306803732586at_nat @ (esk318_0 @ zero_zero_nat) @ esk318_0)))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_29]), c_0_29])). 9.83/10.12 thf(c_0_70, plain, ![X2:nat, X146:nat > set_nat, X29:set_nat, X1:nat]:(((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ (produc457027306803732586at_nat @ X29 @ X146))|~((member_nat @ X1 @ X29))|~((member_nat @ X2 @ (X146 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_62])). 9.83/10.12 thf(c_0_71, plain, ![X1:nat, X2:nat, X29:set_nat, X3:set_Pr1261947904930325089at_nat]:(((member_nat @ X1 @ X29)|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ X3))|~((equiv_equiv_nat @ X29 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_27])). 9.83/10.12 thf(c_0_72, plain, ![X5:product_prod_nat_nat]:(((X5)=(product_Pair_nat_nat @ (esk43_1 @ X5) @ (esk44_1 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_63])). 9.83/10.12 thf(c_0_73, plain, ![X1:nat]:((((esk319_0 @ X1)=(bot_bot_set_nat))|(member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ (esk58_1 @ (esk319_0 @ X1))) @ p))), inference(spm,[status(thm)],[c_0_64, c_0_29])). 9.83/10.12 thf(c_0_74, plain, ((esk319_0 @ v)!=(bot_bot_set_nat)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67])). 9.83/10.12 thf(c_0_75, plain, ![X1:nat, X2:nat, X4:nat, X68:nat]:((((X1)=(X2))|((product_Pair_nat_nat @ X1 @ X4)!=(product_Pair_nat_nat @ X2 @ X68)))), inference(split_conjunct,[status(thm)],[c_0_68])). 9.83/10.12 thf(c_0_76, negated_conjecture, (((esk319_0 @ u)!=(esk319_0 @ v))|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))|~((member_nat @ v @ (esk318_0 @ zero_zero_nat)))|~((member_nat @ u @ (esk318_0 @ zero_zero_nat)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_39])). 9.83/10.12 thf(c_0_77, plain, ![X5:product_prod_nat_nat, X29:set_nat, X3:set_Pr1261947904930325089at_nat]:(((member_nat @ (esk43_1 @ X5) @ X29)|~((member8440522571783428010at_nat @ X5 @ X3))|~((equiv_equiv_nat @ X29 @ X3)))), inference(spm,[status(thm)],[c_0_71, c_0_72])). 9.83/10.12 thf(c_0_78, plain, (member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ (esk58_1 @ (esk319_0 @ v))) @ p), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_53]), c_0_74])). 9.83/10.12 thf(c_0_79, plain, ![X2:nat, X1:nat]:(((esk43_1 @ (product_Pair_nat_nat @ X1 @ X2))=(X1))), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_72])])). 9.83/10.12 thf(c_0_80, negated_conjecture, (~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p))|~((member_nat @ v @ (esk318_0 @ zero_zero_nat)))|~((member_nat @ u @ (esk318_0 @ zero_zero_nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_53])])). 9.83/10.12 thf(c_0_81, plain, ![X2:nat, X1:nat]:(((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X1 @ X2) @ p)|~((member_nat @ X2 @ (esk319_0 @ X1))))), inference(spm,[status(thm)],[c_0_56, c_0_29])). 9.83/10.12 thf(c_0_82, plain, ![X29:set_nat]:(((member_nat @ u @ X29)|~((equiv_equiv_nat @ X29 @ p)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_79])). 9.83/10.12 thf(c_0_83, negated_conjecture, (~((member_nat @ v @ (esk318_0 @ zero_zero_nat)))|~((member_nat @ u @ (esk318_0 @ zero_zero_nat)))|~((member_nat @ v @ (esk319_0 @ v)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_53])). 9.83/10.12 thf(c_0_84, plain, ![X1:nat]:((member_nat @ u @ (esk318_0 @ X1))), inference(spm,[status(thm)],[c_0_82, c_0_46])). 9.83/10.12 thf(c_0_85, plain, ![X1:nat, X2:nat, X29:set_nat, X3:set_Pr1261947904930325089at_nat]:(((member_nat @ X1 @ X29)|~((member8440522571783428010at_nat @ (product_Pair_nat_nat @ X2 @ X1) @ X3))|~((equiv_equiv_nat @ X29 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_27])). 9.83/10.12 thf(c_0_86, negated_conjecture, ~((member_nat @ v @ (esk318_0 @ zero_zero_nat))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84])]), c_0_65])). 9.83/10.12 thf(c_0_87, plain, ![X1:nat, X68:nat, X4:nat, X2:nat]:((((X1)=(X2))|((product_Pair_nat_nat @ X4 @ X1)!=(product_Pair_nat_nat @ X68 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_68])). 9.83/10.12 thf(c_0_88, plain, ![X5:product_prod_nat_nat, X29:set_nat, X3:set_Pr1261947904930325089at_nat]:(((member_nat @ (esk44_1 @ X5) @ X29)|~((member8440522571783428010at_nat @ X5 @ X3))|~((equiv_equiv_nat @ X29 @ X3)))), inference(spm,[status(thm)],[c_0_85, c_0_72])). 9.83/10.12 thf(c_0_89, negated_conjecture, (member8440522571783428010at_nat @ (product_Pair_nat_nat @ u @ v) @ p), inference(sr,[status(thm)],[c_0_52, c_0_86])). 9.83/10.12 thf(c_0_90, plain, ![X1:nat, X2:nat]:(((esk44_1 @ (product_Pair_nat_nat @ X1 @ X2))=(X2))), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_72])])). 9.83/10.12 thf(c_0_91, negated_conjecture, ![X29:set_nat]:(((member_nat @ v @ X29)|~((equiv_equiv_nat @ X29 @ p)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90])). 9.83/10.12 thf(c_0_92, plain, ![X1:nat]:((member_nat @ v @ (esk318_0 @ X1))), inference(spm,[status(thm)],[c_0_91, c_0_46])). 9.83/10.12 thf(c_0_93, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_92])]), ['proof']). 9.83/10.12 # SZS output end CNFRefutation 9.83/10.12 # Parsed axioms : 1601 9.83/10.12 # Removed by relevancy pruning/SinE : 613 9.83/10.12 # Initial clauses : 2099 9.83/10.12 # Removed in clause preprocessing : 81 9.83/10.12 # Initial clauses in saturation : 2018 9.83/10.12 # Processed clauses : 17902 9.83/10.12 # ...of these trivial : 192 9.83/10.12 # ...subsumed : 8544 9.83/10.12 # ...remaining for further processing : 9166 9.83/10.12 # Other redundant clauses eliminated : 1062 9.83/10.12 # Clauses deleted for lack of memory : 0 9.83/10.12 # Backward-subsumed : 110 9.83/10.12 # Backward-rewritten : 142 9.83/10.12 # Generated clauses : 406797 9.83/10.12 # ...of the previous two non-redundant : 376892 9.83/10.12 # ...aggressively subsumed : 0 9.83/10.12 # Contextual simplify-reflections : 94 9.83/10.12 # Paramodulations : 405299 9.83/10.12 # Factorizations : 218 9.83/10.12 # NegExts : 0 9.83/10.12 # Equation resolutions : 1248 9.83/10.12 # Propositional unsat checks : 0 9.83/10.12 # Propositional check models : 0 9.83/10.12 # Propositional check unsatisfiable : 0 9.83/10.12 # Propositional clauses : 0 9.83/10.12 # Propositional clauses after purity: 0 9.83/10.12 # Propositional unsat core size : 0 9.83/10.12 # Propositional preprocessing time : 0.000 9.83/10.12 # Propositional encoding time : 0.000 9.83/10.12 # Propositional solver time : 0.000 9.83/10.12 # Success case prop preproc time : 0.000 9.83/10.12 # Success case prop encoding time : 0.000 9.83/10.12 # Success case prop solver time : 0.000 9.83/10.12 # Current number of processed clauses : 7284 9.83/10.12 # Positive orientable unit clauses : 661 9.83/10.12 # Positive unorientable unit clauses: 62 9.83/10.12 # Negative unit clauses : 145 9.83/10.12 # Non-unit-clauses : 6416 9.83/10.12 # Current number of unprocessed clauses: 361954 9.83/10.12 # ...number of literals in the above : 1379391 9.83/10.12 # Current number of archived formulas : 0 9.83/10.12 # Current number of archived clauses : 1661 9.83/10.12 # Clause-clause subsumption calls (NU) : 6455723 9.83/10.12 # Rec. Clause-clause subsumption calls : 3932199 9.83/10.12 # Non-unit clause-clause subsumptions : 3867 9.83/10.12 # Unit Clause-clause subsumption calls : 237785 9.83/10.12 # Rewrite failures with RHS unbound : 0 9.83/10.12 # BW rewrite match attempts : 633 9.83/10.12 # BW rewrite match successes : 173 9.83/10.12 # Condensation attempts : 17902 9.83/10.12 # Condensation successes : 364 9.83/10.12 # Termbank termtop insertions : 6644919 9.83/10.12 9.83/10.12 # ------------------------------------------------- 9.83/10.12 # User time : 9.134 s 9.83/10.12 # System time : 0.234 s 9.83/10.12 # Total time : 9.368 s 9.83/10.12 # Maximum resident set size: 13192 pages 9.83/10.12 9.83/10.12 # ------------------------------------------------- 9.83/10.12 # User time : 9.199 s 9.83/10.12 # System time : 0.243 s 9.83/10.12 # Total time : 9.443 s 9.83/10.12 # Maximum resident set size: 5384 pages 9.83/10.12 EOF