0.53/0.61 % Problem : SLH0511^1 : TPTP v8.2.0. Released v8.2.0. 0.53/0.62 % Command : run_E %s %d THM 0.61/0.82 % Computer : n002.cluster.edu 0.61/0.82 % Model : x86_64 x86_64 0.61/0.82 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.61/0.82 % Memory : 8042.1875MB 0.61/0.82 % OS : Linux 3.10.0-693.el7.x86_64 0.61/0.82 % CPULimit : 30 0.61/0.82 % WCLimit : 30 0.61/0.82 % DateTime : Mon Jul 3 10:01:07 EDT 2023 0.61/0.82 % CPUTime : 0.66/0.93 The problem SPC is TH0_THM_EQU_NAR 0.66/0.93 Running higher-order on 1 cores theorem proving 0.66/0.93 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679 0.66/0.93 # Version: 3.0pre003-ho 0.88/1.36 # partial match(2): HSLMSMSMSSMNHFA 0.88/1.36 # Preprocessing class: HMLMSMSLSSMNHFA. 0.88/1.36 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.88/1.36 # Starting full_lambda_6 with 30s (1) cores 0.88/1.36 # full_lambda_6 with pid 6859 completed with status 0 0.88/1.36 # Result found by full_lambda_6 0.88/1.36 # partial match(2): HSLMSMSMSSMNHFA 0.88/1.36 # Preprocessing class: HMLMSMSLSSMNHFA. 0.88/1.36 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.88/1.36 # Starting full_lambda_6 with 30s (1) cores 0.88/1.36 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.88/1.36 # ...ProofStateSinE()=158/2191 0.88/1.36 # Search class: HGHSM-FSLM33-DHFFFSBN 0.88/1.36 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.88/1.36 # Starting new_ho_10 with 17s (1) cores 0.88/1.36 # new_ho_10 with pid 6860 completed with status 0 0.88/1.36 # Result found by new_ho_10 0.88/1.36 # partial match(2): HSLMSMSMSSMNHFA 0.88/1.36 # Preprocessing class: HMLMSMSLSSMNHFA. 0.88/1.36 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.88/1.36 # Starting full_lambda_6 with 30s (1) cores 0.88/1.36 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.88/1.36 # ...ProofStateSinE()=158/2191 0.88/1.36 # Search class: HGHSM-FSLM33-DHFFFSBN 0.88/1.36 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.88/1.36 # Starting new_ho_10 with 17s (1) cores 0.88/1.36 # Preprocessing time : 0.008 s 0.88/1.36 # Presaturation interreduction done 0.88/1.36 0.88/1.36 # Proof found! 0.88/1.36 # SZS status Theorem 0.88/1.36 # SZS output start CNFRefutation 0.88/1.36 thf(decl_22, type, bNF_Ca4027112139517550525nite_o: set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_23, type, bNF_Ca6649290325350769387te_nat: set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_24, type, bNF_Ca7082918126634695480nite_o: set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_25, type, bNF_Ca7751713578713111600te_nat: set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_26, type, bNF_Ca9205897942416659591od_o_o: set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_27, type, bNF_Ca6670480423259178337at_nat: set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_28, type, bNF_Ca8759257893432750087at_nat: set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_29, type, bNF_Ca140147938854208935od_o_o: set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_30, type, bNF_Ca4089899758288986625at_nat: set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_31, type, bNF_Ca8659498892590988930od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Pr7011910401827753159od_o_o). 0.88/1.36 thf(decl_32, type, bNF_Ca669077093115854694_o_nat: set_Product_prod_o_o > set_Pr1261947904930325089at_nat > set_Pr6607724941775425903_o_nat). 0.88/1.36 thf(decl_33, type, bNF_Ca3771748454224040004_nat_o: set_Pr1261947904930325089at_nat > set_Product_prod_o_o > set_Pr1799381062826258619_nat_o). 0.88/1.36 thf(decl_34, type, bNF_Ca5918273672090100260at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat). 0.88/1.36 thf(decl_35, type, bNF_Cardinal_ctwo: set_Product_prod_o_o). 0.88/1.36 thf(decl_36, type, bNF_Cardinal_czero_o: set_Product_prod_o_o). 0.88/1.36 thf(decl_37, type, bNF_Ca3172636760949973492d_of_o: set_o > set_Product_prod_o_o). 0.88/1.36 thf(decl_38, type, bNF_Ca3793111618940312692of_nat: set_nat > set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_39, type, bNF_Ca6121500631330824515od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o). 0.88/1.36 thf(decl_40, type, bNF_Ca8664924986033767453at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat). 0.88/1.36 thf(decl_41, type, bNF_Ca9194600574093320387at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat). 0.88/1.36 thf(decl_42, type, bNF_Ca5391278176305430217um_o_o: set_Sum_sum_o_o > set_Pr2429666174773179787um_o_o). 0.88/1.36 thf(decl_43, type, bNF_Ca1325121287712659829_o_nat: set_Sum_sum_o_nat > set_Pr63822404152778311_o_nat). 0.88/1.36 thf(decl_44, type, bNF_Ca4833655811768152859_nat_o: set_Sum_sum_nat_o > set_Pr5101254089914283719_nat_o). 0.88/1.36 thf(decl_45, type, bNF_Ca786952496063569315at_nat: set_Sum_sum_nat_nat > set_Pr1076074158304066111at_nat). 0.88/1.36 thf(decl_46, type, bNF_Ca8331644756375544342r_on_o: set_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_47, type, bNF_Ca1281551314933786834on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_48, type, bNF_Ca4198200952365436517od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_49, type, bNF_Ca7438713789483989055at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_50, type, bNF_Ca8230877790521596901at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_51, type, bNF_Ca4526578624105657733od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_52, type, bNF_Ca4062989147270679263at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_53, type, bNF_Ca4363140458462388713inal_o: set_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_54, type, bNF_Ca5159621140400407487al_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_55, type, bNF_Ca3407573850950408152od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_56, type, bNF_Ca8448034394003515314at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_57, type, bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_58, type, bNF_Gr5731841836078664636rd_o_o: set_o > set_Product_prod_o_o > $o > $o). 0.88/1.36 thf(decl_59, type, bNF_Gr6736587135095141548_o_nat: set_o > set_Pr1261947904930325089at_nat > nat > $o). 0.88/1.36 thf(decl_60, type, bNF_Gr615886459348551050_nat_o: set_nat > set_Product_prod_o_o > $o > nat). 0.88/1.36 thf(decl_61, type, bNF_Gr6953169559552526942at_nat: set_nat > set_Pr1261947904930325089at_nat > nat > nat). 0.88/1.36 thf(decl_62, type, bNF_Gr3541370040355373357_o_o_o: set_Pr1932065953672099015od_o_o > set_Product_prod_o_o > $o > produc2934264451710624999od_o_o). 0.88/1.36 thf(decl_63, type, bNF_Gr6179234852794809723_o_nat: set_Pr1932065953672099015od_o_o > set_Pr1261947904930325089at_nat > nat > produc2934264451710624999od_o_o). 0.88/1.36 thf(decl_64, type, bNF_Gr2632823273528503123_nat_o: set_Pr457366540195662369at_nat > set_Product_prod_o_o > $o > produc732395585841259969at_nat). 0.88/1.36 thf(decl_65, type, bNF_Gr6550272361737169109at_nat: set_Pr457366540195662369at_nat > set_Pr1261947904930325089at_nat > nat > produc732395585841259969at_nat). 0.88/1.36 thf(decl_66, type, bNF_Gr5397592485871042733_nat_o: set_Pr4329608150637261639at_nat > set_Product_prod_o_o > $o > produc3843707927480180839at_nat). 0.88/1.36 thf(decl_67, type, bNF_Gr2810406598121987579at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > nat > produc3843707927480180839at_nat). 0.88/1.36 thf(decl_68, type, bNF_Gr1939940824387609677od_o_o: set_Pr1932065953672099015od_o_o > (produc2934264451710624999od_o_o > set_Product_prod_o_o) > (produc2934264451710624999od_o_o > set_Product_prod_o_o) > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_69, type, bNF_Gr9251090155517351at_nat: set_Pr1932065953672099015od_o_o > (produc2934264451710624999od_o_o > set_Product_prod_o_o) > (produc2934264451710624999od_o_o > set_Pr1261947904930325089at_nat) > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_70, type, bNF_Gr3579140021203399117at_nat: set_Pr1932065953672099015od_o_o > (produc2934264451710624999od_o_o > set_Pr1261947904930325089at_nat) > (produc2934264451710624999od_o_o > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_71, type, bNF_Gr4234126200300082471od_o_o: set_Pr457366540195662369at_nat > (produc732395585841259969at_nat > set_Product_prod_o_o) > (produc732395585841259969at_nat > set_Product_prod_o_o) > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_72, type, bNF_Gr3107587960415891841at_nat: set_Pr457366540195662369at_nat > (produc732395585841259969at_nat > set_Product_prod_o_o) > (produc732395585841259969at_nat > set_Pr1261947904930325089at_nat) > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_73, type, bNF_Gr1969212064759494823at_nat: set_Pr457366540195662369at_nat > (produc732395585841259969at_nat > set_Pr1261947904930325089at_nat) > (produc732395585841259969at_nat > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_74, type, bNF_Gr325834636694211021od_o_o: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Product_prod_o_o) > (produc3843707927480180839at_nat > set_Product_prod_o_o) > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_75, type, bNF_Gr6396972118715063079at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Product_prod_o_o) > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_76, type, bNF_Gr1057879175231919949at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_77, type, bNF_Gr748490023993654765rd_o_o: set_o > set_Product_prod_o_o > $o > $o). 0.88/1.36 thf(decl_78, type, bNF_Gr1235702096034787515_o_nat: set_o > set_Pr1261947904930325089at_nat > $o > nat). 0.88/1.36 thf(decl_79, type, bNF_Gr4338373457142972825_nat_o: set_nat > set_Product_prod_o_o > nat > $o). 0.88/1.36 thf(decl_80, type, bNF_Gr5321390424033619983at_nat: set_nat > set_Pr1261947904930325089at_nat > nat > nat). 0.88/1.36 thf(decl_81, type, bNF_Gr1716226591470254558_o_o_o: set_Pr1932065953672099015od_o_o > set_Product_prod_o_o > produc2934264451710624999od_o_o > $o). 0.88/1.36 thf(decl_82, type, bNF_Gr2687907518133588746_o_nat: set_Pr1932065953672099015od_o_o > set_Pr1261947904930325089at_nat > produc2934264451710624999od_o_o > nat). 0.88/1.36 thf(decl_83, type, bNF_Gr7020601193219610500_nat_o: set_Pr457366540195662369at_nat > set_Product_prod_o_o > produc732395585841259969at_nat > $o). 0.88/1.36 thf(decl_84, type, bNF_Gr859799933468256996at_nat: set_Pr457366540195662369at_nat > set_Pr1261947904930325089at_nat > produc732395585841259969at_nat > nat). 0.88/1.36 thf(decl_85, type, bNF_Gr9013816254238203998_nat_o: set_Pr4329608150637261639at_nat > set_Product_prod_o_o > produc3843707927480180839at_nat > $o). 0.88/1.36 thf(decl_86, type, bNF_Gr8319706499545975946at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat > nat). 0.88/1.36 thf(decl_87, type, bNF_Gr3194703283472089838ed_o_o: set_o > set_Product_prod_o_o > ($o > $o) > $o). 0.88/1.36 thf(decl_88, type, bNF_Gr988296774780055034_o_nat: set_o > set_Pr1261947904930325089at_nat > ($o > nat) > $o). 0.88/1.36 thf(decl_89, type, bNF_Gr4090968135888240344_nat_o: set_nat > set_Product_prod_o_o > (nat > $o) > $o). 0.88/1.36 thf(decl_90, type, bNF_Gr4367463400984379536at_nat: set_nat > set_Pr1261947904930325089at_nat > (nat > nat) > $o). 0.88/1.36 thf(decl_91, type, bNF_Wellorder_bsqr_o: set_Product_prod_o_o > set_Pr7011910401827753159od_o_o). 0.88/1.36 thf(decl_92, type, bNF_We1732890022510290291qr_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat). 0.88/1.36 thf(decl_93, type, bNF_We3935152771354962724od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o). 0.88/1.36 thf(decl_94, type, bNF_We6127972852007642366at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat). 0.88/1.36 thf(decl_95, type, bNF_We2654380646378065620so_o_o: set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_96, type, bNF_We4116350175183677332_o_nat: set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_97, type, bNF_We7219021536291862642_nat_o: set_Pr8055703017043224813od_o_o). 0.88/1.36 thf(decl_98, type, bNF_We5258908940166488438at_nat: set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_99, type, bNF_We3478797130297825300od_o_o: set_Pr8269993260027997383od_o_o). 0.88/1.36 thf(decl_100, type, bNF_We2927691233937746154_o_nat: set_Pr2083485662371163247_o_nat). 0.88/1.36 thf(decl_101, type, bNF_We6436225757993239184_nat_o: set_Pr6689048260218027963_nat_o). 0.88/1.36 thf(decl_102, type, bNF_We4425979316902024558at_nat: set_Pr8788114079658965319at_nat). 0.88/1.36 thf(decl_103, type, bNF_We2916028399495512580_o_nat: set_Pr6149578361169461959_o_nat). 0.88/1.36 thf(decl_104, type, bNF_We5155846448255121108at_nat: set_Pr2070915713504248735at_nat). 0.88/1.36 thf(decl_105, type, bNF_We2682271528455076432_nat_o: set_Pr2690992919715838407_nat_o). 0.88/1.36 thf(decl_106, type, bNF_We7873800260583935406at_nat: set_Pr6357112501083536723at_nat). 0.88/1.36 thf(decl_107, type, bNF_We4319090096570846868at_nat: set_Pr5297940549829899463at_nat). 0.88/1.36 thf(decl_108, type, bNF_We5455623833347018717_o_o_o: set_Pr5465339146700379459od_o_o). 0.88/1.36 thf(decl_109, type, bNF_We2736418005100055072um_o_o: set_Pr9037604441019230663um_o_o). 0.88/1.36 thf(decl_110, type, bNF_We8588234828047454686_o_nat: set_Pr8614431393250552707_o_nat). 0.88/1.36 thf(decl_111, type, bNF_We2873397315248171908_nat_o: set_Pr1345543789004997635_nat_o). 0.88/1.36 thf(decl_112, type, bNF_We7027991437926027642at_nat: set_Pr4168889959610442875at_nat). 0.88/1.36 thf(decl_113, type, bNF_We8455499808419870611_nat_o: set_Pr5192616823003386503od_o_o). 0.88/1.36 thf(decl_114, type, bNF_We1461007947729398933at_nat: set_Pr2243238557815556065at_nat). 0.88/1.36 thf(decl_115, type, bNF_We4487549725514025450um_o_o: set_Pr6890301357480955147um_o_o). 0.88/1.36 thf(decl_116, type, bNF_We4748241943506032788_o_nat: set_Pr5706656237632445639_o_nat). 0.88/1.36 thf(decl_117, type, bNF_We8256776467561525818_nat_o: set_Pr7661140670241666375_nat_o). 0.88/1.36 thf(decl_118, type, bNF_We6373243813402207300at_nat: set_Pr3469353857373938623at_nat). 0.88/1.36 thf(decl_119, type, bNF_We7828181885127712877at_o_o: set_Pr6419213211702811143od_o_o). 0.88/1.36 thf(decl_120, type, bNF_We5202279374879649339_o_nat: set_Pr8020157162464038753at_nat). 0.88/1.36 thf(decl_121, type, bNF_We5813203082145254800um_o_o: set_Pr4885524344002532491um_o_o). 0.88/1.36 thf(decl_122, type, bNF_We7792784937475852910_o_nat: set_Pr6004696033780540487_o_nat). 0.88/1.36 thf(decl_123, type, bNF_We2077947424676570132_nat_o: set_Pr7959180466389761223_nat_o). 0.88/1.36 thf(decl_124, type, bNF_We8460142929841839338at_nat: set_Pr6710357650329316159at_nat). 0.88/1.36 thf(decl_125, type, bNF_We4717344193235055909at_nat: set_Pr1627845231345427177at_nat). 0.88/1.36 thf(decl_126, type, bNF_We3692099834942423674um_o_o: set_Pr9196163270038067219um_o_o). 0.88/1.36 thf(decl_127, type, bNF_We6180393435421844484_o_nat: set_Pr6274769524298744783_o_nat). 0.88/1.36 thf(decl_128, type, bNF_We3455965832816432340at_nat: set_Pr8921550766394648263at_nat). 0.88/1.36 thf(decl_129, type, bNF_We8115293805659342695eq_o_o: set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_130, type, bNF_We3435943820185352641_o_nat: set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_131, type, bNF_We6538615181293537951_nat_o: set_Pr8055703017043224813od_o_o). 0.88/1.36 thf(decl_132, type, bNF_We2031159114419172489at_nat: set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_133, type, bNF_We673172386197207406od_o_o: set_Pr3239150657641179053od_o_o). 0.88/1.36 thf(decl_134, type, bNF_We8887675783599934152at_nat: set_Pr6581084586331850797at_nat). 0.88/1.36 thf(decl_135, type, bNF_We7685085753668031982at_nat: set_Pr4581046465826484141at_nat). 0.88/1.36 thf(decl_136, type, bNF_We4444846861891280440at_nat: set_Pr8695894162071895333at_nat). 0.88/1.36 thf(decl_137, type, bNF_We5263191010062085543od_o_o: set_Pr8269993260027997383od_o_o). 0.88/1.36 thf(decl_138, type, bNF_We5526594851599572503_o_nat: set_Pr2083485662371163247_o_nat). 0.88/1.36 thf(decl_139, type, bNF_We9035129375655065533_nat_o: set_Pr6689048260218027963_nat_o). 0.88/1.36 thf(decl_140, type, bNF_We7027591586743403905at_nat: set_Pr8788114079658965319at_nat). 0.88/1.36 thf(decl_141, type, bNF_We5517640669336891927_o_nat: set_Pr6149578361169461959_o_nat). 0.88/1.36 thf(decl_142, type, bNF_We1398974386449396097at_nat: set_Pr2070915713504248735at_nat). 0.88/1.36 thf(decl_143, type, bNF_We5283883798296455779_nat_o: set_Pr2690992919715838407_nat_o). 0.88/1.36 thf(decl_144, type, bNF_We4116928198778210395at_nat: set_Pr6357112501083536723at_nat). 0.88/1.36 thf(decl_145, type, bNF_We145940432564263207at_nat: set_Pr5297940549829899463at_nat). 0.88/1.36 thf(decl_146, type, bNF_We5212295730361461848_o_o_o: set_Pr1292856356524837895od_o_o). 0.88/1.36 thf(decl_147, type, bNF_We7173072801150825232_o_nat: set_Pr8072821036331221345at_nat). 0.88/1.36 thf(decl_148, type, bNF_We8627497140504843687od_o_o: set_Pr6429226126823767239od_o_o). 0.88/1.36 thf(decl_149, type, bNF_We6477715483879687422_nat_o: set_Pr3623577098722237831od_o_o). 0.88/1.36 thf(decl_150, type, bNF_We8470213457150283754at_nat: set_Pr6894797015334228705at_nat). 0.88/1.36 thf(decl_151, type, bNF_We3095294111201691864_nat_o: set_Pr6965126757148485639od_o_o). 0.88/1.36 thf(decl_152, type, bNF_We8384597595354199696at_nat: set_Pr4375867511396588897at_nat). 0.88/1.36 thf(decl_153, type, bNF_We3513324756044439818_o_o_o: set_Pr5465339146700379459od_o_o). 0.88/1.36 thf(decl_154, type, bNF_We3900823710022635230_o_nat: set_Pr308927743835700381at_nat). 0.88/1.36 thf(decl_155, type, bNF_We8987810345020088115um_o_o: set_Pr9037604441019230663um_o_o). 0.88/1.36 thf(decl_156, type, bNF_We3854041083340105611_o_nat: set_Pr8614431393250552707_o_nat). 0.88/1.36 thf(decl_157, type, bNF_We7362575607395598641_nat_o: set_Pr1345543789004997635_nat_o). 0.88/1.36 thf(decl_158, type, bNF_We1329699954732187917at_nat: set_Pr4168889959610442875at_nat). 0.88/1.36 thf(decl_159, type, bNF_We8188024427803757478_nat_o: set_Pr5192616823003386503od_o_o). 0.88/1.36 thf(decl_160, type, bNF_We7395407223230661442at_nat: set_Pr2243238557815556065at_nat). 0.88/1.36 thf(decl_161, type, bNF_We8976728017661452183um_o_o: set_Pr6890301357480955147um_o_o). 0.88/1.36 thf(decl_162, type, bNF_We8273322497166968871_o_nat: set_Pr5706656237632445639_o_nat). 0.88/1.36 thf(decl_163, type, bNF_We2558484984367686093_nat_o: set_Pr7661140670241666375_nat_o). 0.88/1.36 thf(decl_164, type, bNF_We7431878391334027121at_nat: set_Pr3469353857373938623at_nat). 0.88/1.36 thf(decl_165, type, bNF_We7560706504511599744at_o_o: set_Pr6419213211702811143od_o_o). 0.88/1.36 thf(decl_166, type, bNF_We1913306613526136040_o_nat: set_Pr8020157162464038753at_nat). 0.88/1.36 thf(decl_167, type, bNF_We1079009337437905725um_o_o: set_Pr4885524344002532491um_o_o). 0.88/1.36 thf(decl_168, type, bNF_We2094493454282013185_o_nat: set_Pr6004696033780540487_o_nat). 0.88/1.36 thf(decl_169, type, bNF_We5603027978337506215_nat_o: set_Pr7959180466389761223_nat_o). 0.88/1.36 thf(decl_170, type, bNF_We295405470918883351at_nat: set_Pr6710357650329316159at_nat). 0.88/1.36 thf(decl_171, type, bNF_We6200507331307258288_nat_o: set_Pr2990377294110839183od_o_o). 0.88/1.36 thf(decl_172, type, bNF_We5086521355153908664at_nat: set_Pr1627845231345427177at_nat). 0.88/1.36 thf(decl_173, type, bNF_We7217180388603359757um_o_o: set_Pr9196163270038067219um_o_o). 0.88/1.36 thf(decl_174, type, bNF_We7239028013353664305_o_nat: set_Pr6274769524298744783_o_nat). 0.88/1.36 thf(decl_175, type, bNF_We5082115074515246823at_nat: set_Pr8921550766394648263at_nat). 0.88/1.36 thf(decl_176, type, bNF_We2568191115274586186ss_o_o: set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_177, type, bNF_We8182288985678559134_o_nat: set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_178, type, bNF_We2061588309931968636_nat_o: set_Pr8055703017043224813od_o_o). 0.88/1.36 thf(decl_179, type, bNF_We3448473429330749420at_nat: set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_180, type, bNF_We9142809693765176714od_o_o: set_Pr6429226126823767239od_o_o). 0.88/1.36 thf(decl_181, type, bNF_We1318246335796365322at_nat: set_Pr1064757066610246855at_nat). 0.88/1.36 thf(decl_182, type, bNF_We2594139806602030986at_nat: set_Pr4654484256145968327at_nat). 0.88/1.36 thf(decl_183, type, bNF_We7847786823715778023_o_o_o: set_Pr5465339146700379459od_o_o). 0.88/1.36 thf(decl_184, type, bNF_We7066948511106741057_o_nat: set_Pr308927743835700381at_nat). 0.88/1.36 thf(decl_185, type, bNF_We2130777192033087497_nat_o: set_Pr5192616823003386503od_o_o). 0.88/1.36 thf(decl_186, type, bNF_We1194315142955236767at_nat: set_Pr2243238557815556065at_nat). 0.88/1.36 thf(decl_187, type, bNF_We1503459268740929763at_o_o: set_Pr6419213211702811143od_o_o). 0.88/1.36 thf(decl_188, type, bNF_We4935586570105487173_o_nat: set_Pr8020157162464038753at_nat). 0.88/1.36 thf(decl_189, type, bNF_We9222787287886609421_nat_o: set_Pr2990377294110839183od_o_o). 0.88/1.36 thf(decl_190, type, bNF_We7041958966232365723at_nat: set_Pr1627845231345427177at_nat). 0.88/1.36 thf(decl_191, type, bNF_We6437023980930612612_rel_o: set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_192, type, bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_193, type, bNF_We8581212502267700435od_o_o: set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_194, type, bNF_We1688423684019388333at_nat: set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_195, type, bNF_We4027175587370390611at_nat: set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_196, type, bNF_We6243063140137587187od_o_o: set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_197, type, bNF_We5602466822260561997at_nat: set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_198, type, bNF_We6886001019485585053od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o > produc2934264451710624999od_o_o > $o). 0.88/1.36 thf(decl_199, type, bNF_We6170040095471856759at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat > produc732395585841259969at_nat > $o). 0.88/1.36 thf(decl_200, type, bNF_We2939539520719410205at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o). 0.88/1.36 thf(decl_201, type, bNF_We794377122088811965od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_202, type, bNF_We943883530777384727at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_203, type, bNF_We3104086342435940326max2_o: set_Product_prod_o_o > $o > $o > $o). 0.88/1.36 thf(decl_204, type, bNF_We2380939065524664066x2_nat: set_Pr1261947904930325089at_nat > nat > nat > nat). 0.88/1.36 thf(decl_205, type, bNF_We5307229915971165237od_o_o: set_Pr1013884327308616903od_o_o > produc2934264451710624999od_o_o > produc2934264451710624999od_o_o > produc2934264451710624999od_o_o). 0.88/1.36 thf(decl_206, type, bNF_We7253295970193759759at_nat: set_Pr4427867301352232263at_nat > produc732395585841259969at_nat > produc732395585841259969at_nat > produc732395585841259969at_nat). 0.88/1.36 thf(decl_207, type, bNF_We1807050579049552309at_nat: set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc3843707927480180839at_nat). 0.88/1.36 thf(decl_208, type, bNF_We9141258785624724309od_o_o: set_Pr1932065953672099015od_o_o > set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o). 0.88/1.36 thf(decl_209, type, bNF_We6094461251688579247at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_210, type, bNF_We537455116209922916inim_o: set_Product_prod_o_o > set_o > $o). 0.88/1.36 thf(decl_211, type, bNF_We3275124272252294916im_nat: set_Pr1261947904930325089at_nat > set_nat > nat). 0.88/1.36 thf(decl_212, type, bNF_We4719373430050929331od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o > produc2934264451710624999od_o_o). 0.88/1.36 thf(decl_213, type, bNF_We6249471513304245645at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat > produc732395585841259969at_nat). 0.88/1.36 thf(decl_214, type, bNF_We7473068394052389427at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 0.88/1.36 thf(decl_215, type, bNF_We6151898823597705171od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o > set_Product_prod_o_o). 0.88/1.36 thf(decl_216, type, bNF_We6832956061294468653at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_217, type, bNF_We8594000642646999417_suc_o: set_Product_prod_o_o > set_o > $o). 0.88/1.36 thf(decl_218, type, bNF_We6243639482952820783uc_nat: set_Pr1261947904930325089at_nat > set_nat > nat). 0.88/1.36 thf(decl_219, type, bNF_We7386194254115604808od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o > produc2934264451710624999od_o_o). 0.88/1.36 thf(decl_220, type, bNF_We5419384366696408482at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat > produc732395585841259969at_nat). 0.88/1.36 thf(decl_221, type, bNF_We2397293392365222856at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat). 0.88/1.36 thf(decl_222, type, bNF_We1257987224342916968od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o > set_Product_prod_o_o). 0.88/1.36 thf(decl_223, type, bNF_We3445218718054152002at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_224, type, basic_3307925540671692871od_o_o: produc2934264451710624999od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_225, type, basic_3533134110227475617at_nat: produc732395585841259969at_nat > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_226, type, basic_3661821009137050567at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_227, type, basic_2174982398181630341od_o_o: produc2934264451710624999od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_228, type, basic_7607750056555722463at_nat: produc732395585841259969at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_229, type, basic_484852565060450053at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_230, type, equiv_3398664326906728093od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_231, type, equiv_2520666332425567351at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_232, type, equiv_4443766944827089949at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_233, type, equiv_4332955795722587581od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_234, type, equiv_6458487239543531287at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_235, type, equiv_6719278489894859850od_o_o: set_Pr1932065953672099015od_o_o > set_Product_prod_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_236, type, equiv_4785085088318667978at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_237, type, equiv_1831625524721748142od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > set_se9147984907235033255od_o_o). 0.88/1.36 thf(decl_238, type, equiv_2323626691971332616at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > set_se5885513654436145793at_nat). 0.88/1.36 thf(decl_239, type, equiv_8408515162552411438at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > set_se5479201105039950375at_nat). 0.88/1.36 thf(decl_240, type, equiv_3134926782319234254od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > set_se5342866143169225671od_o_o). 0.88/1.36 thf(decl_241, type, equiv_7923377459618294184at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_se5158245632345848097at_nat). 0.88/1.36 thf(decl_242, type, finite_finite_o: set_o > $o). 0.88/1.36 thf(decl_243, type, finite_finite_nat: set_nat > $o). 0.88/1.36 thf(decl_244, type, finite5523153139673422903on_nat: set_option_nat > $o). 0.88/1.36 thf(decl_245, type, finite1674126218327898605tion_a: set_option_a > $o). 0.88/1.36 thf(decl_246, type, finite6120865539452801872od_o_o: set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_247, type, finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_248, type, finite820925532130942480od_o_o: set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_249, type, finite8072506237346428522at_nat: set_Pr457366540195662369at_nat > $o). 0.88/1.36 thf(decl_250, type, finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_251, type, finite9011636195296603184od_o_o: set_se491199571785101031od_o_o > $o). 0.88/1.36 thf(decl_252, type, finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o). 0.88/1.36 thf(decl_253, type, finite_finite_a: set_a > $o). 0.88/1.36 thf(decl_254, type, comp_option_a_a_a: (option_a > a) > (a > option_a) > a > a). 0.88/1.36 thf(decl_255, type, fun_upd_nat_option_a: (nat > option_a) > nat > option_a > nat > option_a). 0.88/1.36 thf(decl_256, type, fun_up7252388491999432090tion_a: (produc2934264451710624999od_o_o > option_a) > produc2934264451710624999od_o_o > option_a > produc2934264451710624999od_o_o > option_a). 0.88/1.36 thf(decl_257, type, fun_up564627978254483264tion_a: (produc732395585841259969at_nat > option_a) > produc732395585841259969at_nat > option_a > produc732395585841259969at_nat > option_a). 0.88/1.36 thf(decl_258, type, fun_up7579534627831735322tion_a: (produc3843707927480180839at_nat > option_a) > produc3843707927480180839at_nat > option_a > produc3843707927480180839at_nat > option_a). 0.88/1.36 thf(decl_259, type, fun_up3230021793924660483od_o_o: (set_Product_prod_o_o > option956769437226787789od_o_o) > set_Product_prod_o_o > option956769437226787789od_o_o > set_Product_prod_o_o > option956769437226787789od_o_o). 0.88/1.36 thf(decl_260, type, fun_up3688893386320429021at_nat: (set_Product_prod_o_o > option8963830502488799655at_nat) > set_Product_prod_o_o > option8963830502488799655at_nat > set_Product_prod_o_o > option8963830502488799655at_nat). 0.88/1.36 thf(decl_261, type, fun_up1071884767227745027at_nat: (set_Pr1261947904930325089at_nat > option8963830502488799655at_nat) > set_Pr1261947904930325089at_nat > option8963830502488799655at_nat > set_Pr1261947904930325089at_nat > option8963830502488799655at_nat). 0.88/1.36 thf(decl_262, type, fun_upd_d_c: (d > c) > d > c > d > c). 0.88/1.36 thf(decl_263, type, id_a: a > a). 0.88/1.36 thf(decl_264, type, inj_on_o_o: ($o > $o) > set_o > $o). 0.88/1.36 thf(decl_265, type, inj_on_o_nat: ($o > nat) > set_o > $o). 0.88/1.36 thf(decl_266, type, inj_on_nat_o: (nat > $o) > set_nat > $o). 0.88/1.36 thf(decl_267, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 0.88/1.36 thf(decl_268, type, inj_on2663835283014092644od_o_o: (nat > produc2934264451710624999od_o_o) > set_nat > $o). 0.88/1.36 thf(decl_269, type, inj_on400939309715711422at_nat: (nat > produc732395585841259969at_nat) > set_nat > $o). 0.88/1.36 thf(decl_270, type, inj_on7264072676751113700at_nat: (nat > produc3843707927480180839at_nat) > set_nat > $o). 0.88/1.36 thf(decl_271, type, inj_on9163735697967710470_o_nat: (produc2934264451710624999od_o_o > nat) > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_272, type, inj_on7682168121028333361od_o_o: (produc2934264451710624999od_o_o > produc2934264451710624999od_o_o) > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_273, type, inj_on9206849020120836832at_nat: (produc732395585841259969at_nat > nat) > set_Pr457366540195662369at_nat > $o). 0.88/1.36 thf(decl_274, type, inj_on7963584518437281414at_nat: (produc3843707927480180839at_nat > nat) > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_275, type, inj_on_a_option_a: (a > option_a) > set_a > $o). 0.88/1.36 thf(decl_276, type, minus_7052513330764642158od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o). 0.88/1.36 thf(decl_277, type, minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_278, type, minus_5063024033727795502od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1013884327308616903od_o_o > set_Pr1013884327308616903od_o_o). 0.88/1.36 thf(decl_279, type, minus_2318593706003940014at_nat: set_Pr4427867301352232263at_nat > set_Pr4427867301352232263at_nat > set_Pr4427867301352232263at_nat). 0.88/1.36 thf(decl_280, type, minus_8235382265540049710at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat). 0.88/1.36 thf(decl_281, type, minus_5704166846132356910od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_282, type, minus_1608234471674494216at_nat: set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_283, type, minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_284, type, if_option_a: $o > option_a > option_a > option_a). 0.88/1.36 thf(decl_285, type, inf_in6630186493572433077od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_286, type, inf_in3075509010647812879at_nat: set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_287, type, inf_in7913087082777306421at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_288, type, inf_in8747346010413679829od_o_o: set_se491199571785101031od_o_o > set_se491199571785101031od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_289, type, inf_in767997467307849391at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_290, type, sup_sup_set_o: set_o > set_o > set_o). 0.88/1.36 thf(decl_291, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 0.88/1.36 thf(decl_292, type, sup_su5769328420594410459od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o). 0.88/1.36 thf(decl_293, type, sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_294, type, sup_su4078869789063261851od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_295, type, sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_296, type, sup_su1477959037604056251od_o_o: set_se491199571785101031od_o_o > set_se491199571785101031od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_297, type, sup_su3642409539654194069at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_298, type, dom_nat_a: (nat > option_a) > set_nat). 0.88/1.36 thf(decl_299, type, dom_Pr3509670420972068777_o_o_a: (produc2934264451710624999od_o_o > option_a) > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_300, type, dom_Pr8042991038213739471_nat_a: (produc732395585841259969at_nat > option_a) > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_301, type, dom_Pr1957410074072848681_nat_a: (produc3843707927480180839at_nat > option_a) > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_302, type, graph_5719763352399009470od_o_o: (set_Product_prod_o_o > option956769437226787789od_o_o) > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_303, type, graph_2163970799110208408at_nat: (set_Product_prod_o_o > option8963830502488799655at_nat) > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_304, type, graph_2380648924068268862at_nat: (set_Pr1261947904930325089at_nat > option8963830502488799655at_nat) > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_305, type, map_ad9054432547132481292_o_o_a: (produc2934264451710624999od_o_o > option_a) > (produc2934264451710624999od_o_o > option_a) > produc2934264451710624999od_o_o > option_a). 0.88/1.36 thf(decl_306, type, map_ad4947507604491699634_nat_a: (produc732395585841259969at_nat > option_a) > (produc732395585841259969at_nat > option_a) > produc732395585841259969at_nat > option_a). 0.88/1.36 thf(decl_307, type, map_ad6003791139528408460_nat_a: (produc3843707927480180839at_nat > option_a) > (produc3843707927480180839at_nat > option_a) > produc3843707927480180839at_nat > option_a). 0.88/1.36 thf(decl_308, type, restri4233077244345833607_o_o_a: (produc2934264451710624999od_o_o > option_a) > set_Pr1932065953672099015od_o_o > produc2934264451710624999od_o_o > option_a). 0.88/1.36 thf(decl_309, type, restri896928924502181293_nat_a: (produc732395585841259969at_nat > option_a) > set_Pr457366540195662369at_nat > produc732395585841259969at_nat > option_a). 0.88/1.36 thf(decl_310, type, restri4040463761431659527_nat_a: (produc3843707927480180839at_nat > option_a) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > option_a). 0.88/1.36 thf(decl_311, type, restri2278710580326071152od_o_o: (set_Product_prod_o_o > option956769437226787789od_o_o) > set_se491199571785101031od_o_o > set_Product_prod_o_o > option956769437226787789od_o_o). 0.88/1.36 thf(decl_312, type, restri2174721201111129930at_nat: (set_Product_prod_o_o > option8963830502488799655at_nat) > set_se491199571785101031od_o_o > set_Product_prod_o_o > option8963830502488799655at_nat). 0.88/1.36 thf(decl_313, type, restri512981303736921584at_nat: (set_Pr1261947904930325089at_nat > option8963830502488799655at_nat) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > option8963830502488799655at_nat). 0.88/1.36 thf(decl_314, type, bind_a_a: option_a > (a > option_a) > option_a). 0.88/1.36 thf(decl_315, type, is_none_a: option_a > $o). 0.88/1.36 thf(decl_316, type, none_nat: option_nat). 0.88/1.36 thf(decl_317, type, none_P8254367833036352840od_o_o: option8293164206536526765od_o_o). 0.88/1.36 thf(decl_318, type, none_P5828533823149705634at_nat: option7754883786268931591at_nat). 0.88/1.36 thf(decl_319, type, none_P5811896708078067656at_nat: option8699557107911914541at_nat). 0.88/1.36 thf(decl_320, type, none_s7246968996079588200od_o_o: option956769437226787789od_o_o). 0.88/1.36 thf(decl_321, type, none_s625347054029921090at_nat: option8963830502488799655at_nat). 0.88/1.36 thf(decl_322, type, none_a: option_a). 0.88/1.36 thf(decl_323, type, some_nat: nat > option_nat). 0.88/1.36 thf(decl_324, type, some_P7068320699308846284od_o_o: produc2934264451710624999od_o_o > option8293164206536526765od_o_o). 0.88/1.36 thf(decl_325, type, some_P123625206269196070at_nat: produc732395585841259969at_nat > option7754883786268931591at_nat). 0.88/1.36 thf(decl_326, type, some_P131194445498448716at_nat: produc3843707927480180839at_nat > option8699557107911914541at_nat). 0.88/1.36 thf(decl_327, type, some_P377817780860425132_a_d_c: product_prod_a_d_c > option2362401199305441953_a_d_c). 0.88/1.36 thf(decl_328, type, some_s1360601300120069868od_o_o: set_Product_prod_o_o > option956769437226787789od_o_o). 0.88/1.36 thf(decl_329, type, some_s147305329494351046at_nat: set_Pr1261947904930325089at_nat > option8963830502488799655at_nat). 0.88/1.36 thf(decl_330, type, some_a: a > option_a). 0.88/1.36 thf(decl_331, type, map_op2750206784353119307od_o_o: (produc2934264451710624999od_o_o > produc2934264451710624999od_o_o) > option8293164206536526765od_o_o > option8293164206536526765od_o_o). 0.88/1.36 thf(decl_332, type, map_op8542782130795478475at_nat: (produc732395585841259969at_nat > produc732395585841259969at_nat) > option7754883786268931591at_nat > option7754883786268931591at_nat). 0.88/1.36 thf(decl_333, type, map_op4646528093940530251at_nat: (produc3843707927480180839at_nat > produc3843707927480180839at_nat) > option8699557107911914541at_nat > option8699557107911914541at_nat). 0.88/1.36 thf(decl_334, type, map_option_a_a: (a > a) > option_a > option_a). 0.88/1.36 thf(decl_335, type, set_op3337521775309186165od_o_o: option8293164206536526765od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_336, type, set_op8338180575893423695at_nat: option7754883786268931591at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_337, type, set_op5866586666149159413at_nat: option8699557107911914541at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_338, type, set_option_a2: option_a > set_a). 0.88/1.36 thf(decl_339, type, the_Pr7254245475272632699od_o_o: option8293164206536526765od_o_o > produc2934264451710624999od_o_o). 0.88/1.36 thf(decl_340, type, the_Pr9097376869753557077at_nat: option7754883786268931591at_nat > produc732395585841259969at_nat). 0.88/1.36 thf(decl_341, type, the_Pr6298817542474494203at_nat: option8699557107911914541at_nat > produc3843707927480180839at_nat). 0.88/1.36 thf(decl_342, type, the_a: option_a > a). 0.88/1.36 thf(decl_343, type, these_2277756779245414180od_o_o: set_op3605315081486705933od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_344, type, these_663420305483081086at_nat: set_op7555165197759865831at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_345, type, these_1872268174106123684at_nat: set_op989438649584373901at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_346, type, these_a: set_option_a > set_a). 0.88/1.36 thf(decl_347, type, order_AboveS_o: set_Product_prod_o_o > set_o > set_o). 0.88/1.36 thf(decl_348, type, order_AboveS_nat: set_Pr1261947904930325089at_nat > set_nat > set_nat). 0.88/1.36 thf(decl_349, type, order_909087248044410034od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_350, type, order_3539579856470909964at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_351, type, order_5334716200017444146at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_352, type, order_5655281162628242642od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_353, type, order_9095727932502173612at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_354, type, order_6238756238976269133r_on_o: set_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_355, type, order_4473980167227706203on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_356, type, order_91209724698019100od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_357, type, order_9086815480479278966at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_358, type, order_2711500226769404828at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_359, type, order_2625247082195685180od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_360, type, order_5942792088423767318at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_361, type, order_543634532542674813od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_362, type, order_3205064739578148183at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat > $o). 0.88/1.36 thf(decl_363, type, order_3142731893281451261at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_364, type, order_136921456694023837od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o > $o). 0.88/1.36 thf(decl_365, type, order_6860593127430111223at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > $o). 0.88/1.36 thf(decl_366, type, order_preorder_on_o: set_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_367, type, order_4861654808422542329on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_368, type, order_3482285145583873534od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_369, type, order_8058285401901086552at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_370, type, order_4077073789452270206at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_371, type, order_6208692358724846110od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_372, type, order_7173764778206869240at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_373, type, order_underS_o: set_Product_prod_o_o > $o > set_o). 0.88/1.36 thf(decl_374, type, order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat). 0.88/1.36 thf(decl_375, type, order_1929855754104155309od_o_o: set_Pr1013884327308616903od_o_o > produc2934264451710624999od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_376, type, order_6745690092771398279at_nat: set_Pr4427867301352232263at_nat > produc732395585841259969at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_377, type, order_3736018788886245933at_nat: set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_378, type, order_3915675016455977933od_o_o: set_Pr1932065953672099015od_o_o > set_Product_prod_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_379, type, order_2644262826035875111at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_380, type, order_under_nat: set_Pr1261947904930325089at_nat > nat > set_nat). 0.88/1.36 thf(decl_381, type, order_8825441150112336748od_o_o: set_Pr1932065953672099015od_o_o > set_Product_prod_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_382, type, order_8557040927991152966at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_383, type, order_2615775362358406454r_on_o: set_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_384, type, order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_385, type, order_2783320356396525957od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_386, type, order_1951249980326167391at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_387, type, order_2339240034117818117at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_388, type, order_3767514495197212837od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_389, type, order_1968183844437341695at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_390, type, bot_bot_set_o: set_o). 0.88/1.36 thf(decl_391, type, bot_bot_set_nat: set_nat). 0.88/1.36 thf(decl_392, type, bot_bot_set_option_a: set_option_a). 0.88/1.36 thf(decl_393, type, bot_bo7073875226086086771od_o_o: set_Product_prod_o_o). 0.88/1.36 thf(decl_394, type, bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_395, type, bot_bo498831808395348787od_o_o: set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_396, type, bot_bo1676454896636820109at_nat: set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_397, type, bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_398, type, bot_bo8006819982598807891od_o_o: set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_399, type, bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_400, type, bot_bot_set_a: set_a). 0.88/1.36 thf(decl_401, type, ord_less_nat: nat > nat > $o). 0.88/1.36 thf(decl_402, type, ord_le3253702748690112691od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_403, type, ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_404, type, ord_less_eq_nat: nat > nat > $o). 0.88/1.36 thf(decl_405, type, ord_less_eq_set_o: set_o > set_o > $o). 0.88/1.36 thf(decl_406, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.88/1.36 thf(decl_407, type, ord_le192195778054999463od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_408, type, ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_409, type, ord_le7586318239878589543od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_410, type, ord_le4841768313324958145at_nat: set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat > $o). 0.88/1.36 thf(decl_411, type, ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_412, type, ord_le2654036014095304327od_o_o: set_se491199571785101031od_o_o > set_se491199571785101031od_o_o > $o). 0.88/1.36 thf(decl_413, type, ord_le2077887516847798113at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o). 0.88/1.36 thf(decl_414, type, top_top_set_nat: set_nat). 0.88/1.36 thf(decl_415, type, top_to8920198386146353926on_nat: set_option_nat). 0.88/1.36 thf(decl_416, type, top_top_set_option_a: set_option_a). 0.88/1.36 thf(decl_417, type, top_to1478448522960722999od_o_o: set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_418, type, top_to7629004291339433233at_nat: set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_419, type, top_top_set_a: set_a). 0.88/1.36 thf(decl_420, type, product_Pair_o_o: $o > $o > product_prod_o_o). 0.88/1.36 thf(decl_421, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 0.88/1.36 thf(decl_422, type, produc3331439552374987607od_o_o: product_prod_o_o > product_prod_o_o > produc4465838814804890855od_o_o). 0.88/1.36 thf(decl_423, type, produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat). 0.88/1.36 thf(decl_424, type, produc6658621592305443671od_o_o: produc2934264451710624999od_o_o > produc2934264451710624999od_o_o > produc2245965095621756647od_o_o). 0.88/1.36 thf(decl_425, type, produc5280317629174639665at_nat: produc2934264451710624999od_o_o > produc732395585841259969at_nat > produc1849724168463518785at_nat). 0.88/1.36 thf(decl_426, type, produc2313366179012357847at_nat: produc2934264451710624999od_o_o > produc3843707927480180839at_nat > produc7958968832500770151at_nat). 0.88/1.36 thf(decl_427, type, produc7608918879087053565od_o_o: produc732395585841259969at_nat > produc2934264451710624999od_o_o > produc7802444359731182093od_o_o). 0.88/1.36 thf(decl_428, type, produc4785852428192286935at_nat: produc732395585841259969at_nat > produc732395585841259969at_nat > produc266773502759220327at_nat). 0.88/1.36 thf(decl_429, type, produc1020012403072254077at_nat: produc732395585841259969at_nat > produc3843707927480180839at_nat > produc3693384098587476621at_nat). 0.88/1.36 thf(decl_430, type, produc4770972565181134295od_o_o: produc7898102162437433997od_o_o > produc7898102162437433997od_o_o > produc684523539999456103od_o_o). 0.88/1.36 thf(decl_431, type, produc9157239275352149975od_o_o: produc3843707927480180839at_nat > produc2934264451710624999od_o_o > produc8262279291274332775od_o_o). 0.88/1.36 thf(decl_432, type, produc1947060375374649521at_nat: produc3843707927480180839at_nat > produc732395585841259969at_nat > produc3679122528823168961at_nat). 0.88/1.36 thf(decl_433, type, produc2335810615602371415at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc1906917888121415911at_nat). 0.88/1.36 thf(decl_434, type, produc5208860900648697099_a_d_c: product_prod_a_d_c > option2362401199305441953_a_d_c > produc6150846815813599699_a_d_c). 0.88/1.36 thf(decl_435, type, produc763777882069021527od_o_o: set_Product_prod_o_o > set_Product_prod_o_o > produc2934264451710624999od_o_o). 0.88/1.36 thf(decl_436, type, produc8517790099723286449at_nat: set_Product_prod_o_o > set_Pr1261947904930325089at_nat > produc732395585841259969at_nat). 0.88/1.36 thf(decl_437, type, produc2070086378307464573od_o_o: set_Pr1261947904930325089at_nat > set_Product_prod_o_o > produc7898102162437433997od_o_o). 0.88/1.36 thf(decl_438, type, produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat). 0.88/1.36 thf(decl_439, type, produc3027304428310723133od_o_o: set_Pr1261947904930325089at_nat > set_Pr1013884327308616903od_o_o > produc6596275273598666829od_o_o). 0.88/1.36 thf(decl_440, type, produc5313346920894465213at_nat: set_Pr1261947904930325089at_nat > set_Pr4427867301352232263at_nat > produc3968438819159352781at_nat). 0.88/1.36 thf(decl_441, type, produc5916770540428940861at_nat: set_Pr1261947904930325089at_nat > set_Pr5564308138774400199at_nat > produc8974053812830014029at_nat). 0.88/1.36 thf(decl_442, type, produc7668796723872103605at_nat: set_Pr1261947904930325089at_nat > set_Pr1076074158304066111at_nat > produc3770297804798658629at_nat). 0.88/1.36 thf(decl_443, type, produc189021232855538519od_o_o: set_Pr7011910401827753159od_o_o > set_Pr7011910401827753159od_o_o > produc6176228915706226407od_o_o). 0.88/1.36 thf(decl_444, type, produc8026554252588472319_o_nat: set_Pr7011910401827753159od_o_o > set_Pr6607724941775425903_o_nat > produc3814013152794810639_o_nat). 0.88/1.36 thf(decl_445, type, produc3218210373639305035_nat_o: set_Pr7011910401827753159od_o_o > set_Pr1799381062826258619_nat_o > produc1771412367706247771_nat_o). 0.88/1.36 thf(decl_446, type, produc6996284652319478231at_nat: set_Pr7011910401827753159od_o_o > set_Pr8693737435421807431at_nat > produc743030839026790503at_nat). 0.88/1.36 thf(decl_447, type, produc5910034646884183383_o_nat: set_Pr6607724941775425903_o_nat > set_Pr6607724941775425903_o_nat > produc7379504648073755111_o_nat). 0.88/1.36 thf(decl_448, type, produc6295173111627586351at_nat: set_Pr6607724941775425903_o_nat > set_Pr8693737435421807431at_nat > produc8421973624431248703at_nat). 0.88/1.36 thf(decl_449, type, produc3222486542081100375_nat_o: set_Pr1799381062826258619_nat_o > set_Pr1799381062826258619_nat_o > produc7457699637131276519_nat_o). 0.88/1.36 thf(decl_450, type, produc5773396518915747555at_nat: set_Pr1799381062826258619_nat_o > set_Pr8693737435421807431at_nat > produc7900197031719409907at_nat). 0.88/1.36 thf(decl_451, type, produc3236233026405413719at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > produc6487378988399798503at_nat). 0.88/1.36 thf(decl_452, type, produc8369371535328480407od_o_o: set_Pr1013884327308616903od_o_o > set_Product_prod_o_o > produc1960492347614157607od_o_o). 0.88/1.36 thf(decl_453, type, produc1598809612926693617at_nat: set_Pr1013884327308616903od_o_o > set_Pr1261947904930325089at_nat > produc3355805666032155649at_nat). 0.88/1.36 thf(decl_454, type, produc23025780167396183od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1013884327308616903od_o_o > produc467843052564343527od_o_o). 0.88/1.36 thf(decl_455, type, produc8102740133251482647od_o_o: set_Pr4427867301352232263at_nat > set_Product_prod_o_o > produc6064032768986720679od_o_o). 0.88/1.36 thf(decl_456, type, produc4982878492540823665at_nat: set_Pr4427867301352232263at_nat > set_Pr1261947904930325089at_nat > produc3003658523197049473at_nat). 0.88/1.36 thf(decl_457, type, produc8612946581105484631at_nat: set_Pr4427867301352232263at_nat > set_Pr4427867301352232263at_nat > produc1903999119065525479at_nat). 0.88/1.36 thf(decl_458, type, produc3565432567573771415od_o_o: set_Pr5564308138774400199at_nat > set_Product_prod_o_o > produc2372601289563533607od_o_o). 0.88/1.36 thf(decl_459, type, produc5407148829662812401at_nat: set_Pr5564308138774400199at_nat > set_Pr1261947904930325089at_nat > produc8039618346972058113at_nat). 0.88/1.36 thf(decl_460, type, produc7545183385222921047at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > produc5052769453400272615at_nat). 0.88/1.36 thf(decl_461, type, produc2282539314773629783od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o > produc8963987812249958119od_o_o). 0.88/1.36 thf(decl_462, type, produc4325049062531119319at_nat: set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat > produc5306847434115292263at_nat). 0.88/1.36 thf(decl_463, type, produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat). 0.88/1.36 thf(decl_464, type, produc5317466613051064531od_o_o: set_Pr2429666174773179787um_o_o > set_Product_prod_o_o > produc3217940817873794019od_o_o). 0.88/1.36 thf(decl_465, type, produc4966347635449911085at_nat: set_Pr2429666174773179787um_o_o > set_Pr1261947904930325089at_nat > produc6319085873323607741at_nat). 0.88/1.36 thf(decl_466, type, produc1030987845608174167um_o_o: set_Pr2429666174773179787um_o_o > set_Pr2429666174773179787um_o_o > produc5974065977577044711um_o_o). 0.88/1.36 thf(decl_467, type, produc3782849074957862163_o_nat: set_Pr2429666174773179787um_o_o > set_Pr63822404152778311_o_nat > produc395215368487385379_o_nat). 0.88/1.36 thf(decl_468, type, produc8820280760719367571_nat_o: set_Pr2429666174773179787um_o_o > set_Pr5101254089914283719_nat_o > produc4474022258528981411_nat_o). 0.88/1.36 thf(decl_469, type, produc6767169964153735947at_nat: set_Pr2429666174773179787um_o_o > set_Pr1076074158304066111at_nat > produc5153585639972752539at_nat). 0.88/1.36 thf(decl_470, type, produc8931464078238085911od_o_o: set_Pr63822404152778311_o_nat > set_Product_prod_o_o > produc5450868540414226855od_o_o). 0.88/1.36 thf(decl_471, type, produc7234148943500302193at_nat: set_Pr63822404152778311_o_nat > set_Pr1261947904930325089at_nat > produc299292417334301313at_nat). 0.88/1.36 thf(decl_472, type, produc5149556716212013723um_o_o: set_Pr63822404152778311_o_nat > set_Pr2429666174773179787um_o_o > produc5855907259854397099um_o_o). 0.88/1.36 thf(decl_473, type, produc728317944619019095_o_nat: set_Pr63822404152778311_o_nat > set_Pr63822404152778311_o_nat > produc8342863555562253031_o_nat). 0.88/1.36 thf(decl_474, type, produc5765749630380524503_nat_o: set_Pr63822404152778311_o_nat > set_Pr5101254089914283719_nat_o > produc3198298408749073255_nat_o). 0.88/1.36 thf(decl_475, type, produc5352410120312684367at_nat: set_Pr63822404152778311_o_nat > set_Pr1076074158304066111at_nat > produc4017409457303293023at_nat). 0.88/1.36 thf(decl_476, type, produc4177515836422716055od_o_o: set_Pr5101254089914283719_nat_o > set_Product_prod_o_o > produc696920298598856999od_o_o). 0.88/1.36 thf(decl_477, type, produc5868257188881964785at_nat: set_Pr5101254089914283719_nat_o > set_Pr1261947904930325089at_nat > produc8156772699570739713at_nat). 0.88/1.36 thf(decl_478, type, produc4585484280506290715um_o_o: set_Pr5101254089914283719_nat_o > set_Pr2429666174773179787um_o_o > produc5291834824148674091um_o_o). 0.88/1.36 thf(decl_479, type, produc4410791399313715927_o_nat: set_Pr5101254089914283719_nat_o > set_Pr63822404152778311_o_nat > produc2801964973402174055_o_nat). 0.88/1.36 thf(decl_480, type, produc224851048220445527_nat_o: set_Pr5101254089914283719_nat_o > set_Pr5101254089914283719_nat_o > produc6880771863443770087_nat_o). 0.88/1.36 thf(decl_481, type, produc3548793344679855823at_nat: set_Pr5101254089914283719_nat_o > set_Pr1076074158304066111at_nat > produc2213792681670464479at_nat). 0.88/1.36 thf(decl_482, type, produc9174727453167716639od_o_o: set_Pr1076074158304066111at_nat > set_Product_prod_o_o > produc6629909188158935855od_o_o). 0.88/1.36 thf(decl_483, type, produc6460772959230282105at_nat: set_Pr1076074158304066111at_nat > set_Pr1261947904930325089at_nat > produc8434689566910009353at_nat). 0.88/1.36 thf(decl_484, type, produc3837620720005901475um_o_o: set_Pr1076074158304066111at_nat > set_Pr2429666174773179787um_o_o > produc6322778544207219763um_o_o). 0.88/1.36 thf(decl_485, type, produc2864506647045777759_o_nat: set_Pr1076074158304066111at_nat > set_Pr63822404152778311_o_nat > produc1534263882305827951_o_nat). 0.88/1.36 thf(decl_486, type, produc2112825387572549975at_nat: set_Pr1076074158304066111at_nat > set_Pr1076074158304066111at_nat > produc6206612473762214375at_nat). 0.88/1.36 thf(decl_487, type, produc4478624491032480599od_o_o: set_se491199571785101031od_o_o > set_se491199571785101031od_o_o > produc7004997421203748071od_o_o). 0.88/1.36 thf(decl_488, type, produc7462898802507495127at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > produc7299876168958306407at_nat). 0.88/1.36 thf(decl_489, type, product_Pair_a_d_c: a > (d > c) > product_prod_a_d_c). 0.88/1.36 thf(decl_490, type, produc4861507100678042957_o_o_o: (produc2934264451710624999od_o_o > $o) > set_Product_prod_o_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_491, type, produc5440495499350717427_nat_o: (produc732395585841259969at_nat > $o) > set_Product_prod_o_o > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_492, type, produc7820828192191229133_nat_o: (produc3843707927480180839at_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_493, type, domain2187190646820045772od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_494, type, domain8659765193365367884at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_495, type, domain1102310642530566604at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_496, type, domain8908270702770587084od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_497, type, domain8494901049294654374at_nat: set_Pr457366540195662369at_nat > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_498, type, domain8802589944165416012at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_499, type, field_o: set_Product_prod_o_o > set_o). 0.88/1.36 thf(decl_500, type, field_nat: set_Pr1261947904930325089at_nat > set_nat). 0.88/1.36 thf(decl_501, type, field_5121862139100741428od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_502, type, field_7361900449976055182at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_503, type, field_2862844103579723188at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_504, type, field_6101175518749917524od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_505, type, field_3145993188331922222at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_506, type, id_o: set_Product_prod_o_o). 0.88/1.36 thf(decl_507, type, id_nat: set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_508, type, id_Pro5927853813057311299od_o_o: set_Pr1013884327308616903od_o_o). 0.88/1.36 thf(decl_509, type, id_Pro6320881530060322077at_nat: set_Pr4427867301352232263at_nat). 0.88/1.36 thf(decl_510, type, id_Pro5428700290092274115at_nat: set_Pr5564308138774400199at_nat). 0.88/1.36 thf(decl_511, type, id_set2647307015711338339od_o_o: set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_512, type, id_set1796276052702428605at_nat: set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_513, type, image_o_o: set_Product_prod_o_o > set_o > set_o). 0.88/1.36 thf(decl_514, type, image_nat_nat: set_Pr1261947904930325089at_nat > set_nat > set_nat). 0.88/1.36 thf(decl_515, type, image_1313870842500862867od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_516, type, image_8289932575384915565at_nat: set_Pr6579314390632234657at_nat > set_Pr1932065953672099015od_o_o > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_517, type, image_8716920961790427923at_nat: set_Pr2596487125543962183at_nat > set_Pr1932065953672099015od_o_o > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_518, type, image_1395161788442553657od_o_o: set_Pr7090123087317550701od_o_o > set_Pr457366540195662369at_nat > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_519, type, image_1966035174115581203at_nat: set_Pr4427867301352232263at_nat > set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_520, type, image_8447118000439789241at_nat: set_Pr6877924626643063277at_nat > set_Pr457366540195662369at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_521, type, image_6337422021275444243od_o_o: set_Pr4084129990900558663od_o_o > set_Pr4329608150637261639at_nat > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_522, type, image_150793935887408877at_nat: set_Pr4797530719494571297at_nat > set_Pr4329608150637261639at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_523, type, image_3736809421353964435at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_524, type, image_3256184292080368531od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_525, type, image_2461788823225053677at_nat: set_Pr457366540195662369at_nat > set_se491199571785101031od_o_o > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_526, type, image_3892192845344445203at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_527, type, range_1318165146934585909od_o_o: set_Pr1932065953672099015od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_528, type, range_8412904782085253007at_nat: set_Pr457366540195662369at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_529, type, range_880292732526890933at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_530, type, antisym_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_531, type, antisy2259881126919591626od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_532, type, antisy1857962754316978724at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_533, type, antisy6856624793204979530at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_534, type, antisy777991898044409578od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_535, type, antisy1130263102092445124at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_536, type, asym_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_537, type, asym_o7797749731265203737od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_538, type, asym_o194845430079802867at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_539, type, asym_o9101232109321078681at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_540, type, asym_o8381145231034218809od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_541, type, asym_o5033339280856310931at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_542, type, refl_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_543, type, refl_o8365827894042769382od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_544, type, refl_o3078925143892389184at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_545, type, refl_o7446464703481863270at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_546, type, refl_o935183656833700870od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_547, type, refl_o6955724340487615712at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_548, type, single7370670047157432131od_o_o: set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_549, type, single7212042597521132957at_nat: set_Pr457366540195662369at_nat > $o). 0.88/1.36 thf(decl_550, type, single6503460853754975939at_nat: set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_551, type, total_on_o: set_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_552, type, total_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_553, type, total_3055748755304958059od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_554, type, total_8996415722781341509at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_555, type, total_1513685709984341995at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_556, type, total_5784220159268842891od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_557, type, total_7212417256332265445at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_558, type, trans_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_559, type, trans_2549647969203962503od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_560, type, trans_3798871764278489953at_nat: set_Pr457366540195662369at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_561, type, trans_4802246114490097159at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_562, type, trans_7029024365671003047od_o_o: set_se491199571785101031od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_563, type, trans_3732288485672914945at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_564, type, collec3302784863738620242od_o_o: (produc2934264451710624999od_o_o > $o) > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_565, type, collec1729919521702017196at_nat: (produc732395585841259969at_nat > $o) > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_566, type, collec6321179662152712658at_nat: (produc3843707927480180839at_nat > $o) > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_567, type, disjnt556417628418099406od_o_o: set_se491199571785101031od_o_o > set_se491199571785101031od_o_o > $o). 0.88/1.36 thf(decl_568, type, disjnt2544082741087298984at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o). 0.88/1.36 thf(decl_569, type, image_o_o2: ($o > $o) > set_o > set_o). 0.88/1.36 thf(decl_570, type, image_o_nat: ($o > nat) > set_o > set_nat). 0.88/1.36 thf(decl_571, type, image_nat_o: (nat > $o) > set_nat > set_o). 0.88/1.36 thf(decl_572, type, image_nat_nat2: (nat > nat) > set_nat > set_nat). 0.88/1.36 thf(decl_573, type, image_nat_option_nat: (nat > option_nat) > set_nat > set_option_nat). 0.88/1.36 thf(decl_574, type, image_nat_option_a: (nat > option_a) > set_nat > set_option_a). 0.88/1.36 thf(decl_575, type, image_1441591353514620194tion_a: (produc2934264451710624999od_o_o > option_a) > set_Pr1932065953672099015od_o_o > set_option_a). 0.88/1.36 thf(decl_576, type, image_6589722576923083464tion_a: (produc732395585841259969at_nat > option_a) > set_Pr457366540195662369at_nat > set_option_a). 0.88/1.36 thf(decl_577, type, image_7626837539197272994tion_a: (produc3843707927480180839at_nat > option_a) > set_Pr4329608150637261639at_nat > set_option_a). 0.88/1.36 thf(decl_578, type, image_a_option_a: (a > option_a) > set_a > set_option_a). 0.88/1.36 thf(decl_579, type, insert_o: $o > set_o > set_o). 0.88/1.36 thf(decl_580, type, insert_nat: nat > set_nat > set_nat). 0.88/1.36 thf(decl_581, type, insert_option_nat: option_nat > set_option_nat > set_option_nat). 0.88/1.36 thf(decl_582, type, insert_option_a: option_a > set_option_a > set_option_a). 0.88/1.36 thf(decl_583, type, insert6201435330877294327od_o_o: product_prod_o_o > set_Product_prod_o_o > set_Product_prod_o_o). 0.88/1.36 thf(decl_584, type, insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat). 0.88/1.36 thf(decl_585, type, insert3855699742481506999od_o_o: produc2934264451710624999od_o_o > set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_586, type, insert8109617542356073361at_nat: produc732395585841259969at_nat > set_Pr457366540195662369at_nat > set_Pr457366540195662369at_nat). 0.88/1.36 thf(decl_587, type, insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_588, type, insert3817420688681518039od_o_o: set_Product_prod_o_o > set_se491199571785101031od_o_o > set_se491199571785101031od_o_o). 0.88/1.36 thf(decl_589, type, insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat). 0.88/1.36 thf(decl_590, type, insert_a: a > set_a > set_a). 0.88/1.36 thf(decl_591, type, sum_Plus_o_o: set_o > set_o > set_Sum_sum_o_o). 0.88/1.36 thf(decl_592, type, sum_Plus_o_nat: set_o > set_nat > set_Sum_sum_o_nat). 0.88/1.36 thf(decl_593, type, sum_Plus_nat_o: set_nat > set_o > set_Sum_sum_nat_o). 0.88/1.36 thf(decl_594, type, sum_Plus_nat_nat: set_nat > set_nat > set_Sum_sum_nat_nat). 0.88/1.36 thf(decl_595, type, transi6732886088652640214od_o_o: set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_596, type, transi5940216143853766832at_nat: set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_597, type, transi3610599525415160810od_o_o: set_Pr1013884327308616903od_o_o > set_Pr1013884327308616903od_o_o). 0.88/1.36 thf(decl_598, type, transi4536970581772660548at_nat: set_Pr4427867301352232263at_nat > set_Pr4427867301352232263at_nat). 0.88/1.36 thf(decl_599, type, transi5049001397978532970at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat). 0.88/1.36 thf(decl_600, type, transi8975321201238539274od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_601, type, transi6170703685534862052at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_602, type, and_a_b_c_d: assertion_a_b_c_d > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_603, type, bounded_a_b_c_d: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_604, type, exists_d_a_b_c: d > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_605, type, forall_d_a_b_c: d > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_606, type, imp_a_b_c_d: assertion_a_b_c_d > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_607, type, mult_b_a_c_d: b > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_608, type, or_a_b_c_d: assertion_a_b_c_d > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_609, type, pred_a_b_c_d: assertion_a_b_c_d). 0.88/1.36 thf(decl_610, type, sem_d_c_a_b: ((d > c) > a > $o) > assertion_a_b_c_d). 0.88/1.36 thf(decl_611, type, star_a_b_c_d: assertion_a_b_c_d > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_612, type, wand_a_b_c_d: assertion_a_b_c_d > assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_613, type, wildcard_a_b_c_d: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_614, type, logic_a_b: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > $o). 0.88/1.36 thf(decl_615, type, entails_a_b_c_d: (a > a > option_a) > (b > a > a) > (a > $o) > assertion_a_b_c_d > ((d > c) > set_a) > assertion_a_b_c_d > $o). 0.88/1.36 thf(decl_616, type, equal_outside_d_c: (d > c) > (d > c) > set_d > $o). 0.88/1.36 thf(decl_617, type, equivalent_a_b_c_d: (a > a > option_a) > (b > a > a) > (a > $o) > assertion_a_b_c_d > ((d > c) > set_a) > assertion_a_b_c_d > $o). 0.88/1.36 thf(decl_618, type, intuit4720955538653295669_b_d_c: (a > a > option_a) > (b > a > a) > (a > $o) > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > $o). 0.88/1.36 thf(decl_619, type, modified_a_d_c: set_Pr7868159745199425715_a_d_c > set_d). 0.88/1.36 thf(decl_620, type, not_in_fv_a_b_c_d: (a > a > option_a) > (b > a > a) > (a > $o) > assertion_a_b_c_d > set_d > $o). 0.88/1.36 thf(decl_621, type, pure_a_b_c_d: (a > a > option_a) > (b > a > a) > (a > $o) > assertion_a_b_c_d > $o). 0.88/1.36 thf(decl_622, type, safe_a_d_c: set_Pr7868159745199425715_a_d_c > product_prod_a_d_c > $o). 0.88/1.36 thf(decl_623, type, sat_a_b_d_c: (a > a > option_a) > (b > a > a) > (a > $o) > a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > $o). 0.88/1.36 thf(decl_624, type, valid_8824771084768397689_b_c_d: (a > a > option_a) > (b > a > a) > (a > $o) > assertion_a_b_c_d > set_Pr7868159745199425715_a_d_c > assertion_a_b_c_d > ((d > c) > set_a) > $o). 0.88/1.36 thf(decl_625, type, pre_compatible_a: (a > a > option_a) > a > a > $o). 0.88/1.36 thf(decl_626, type, pre_larger_a: (a > a > option_a) > a > a > $o). 0.88/1.36 thf(decl_627, type, finite1053609180499918954od_o_o: set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_628, type, finite469560695537375940at_nat: set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_629, type, lex_pr2209867684007004015od_o_o: set_Pr1932065953672099015od_o_o > set_Pr1932065953672099015od_o_o > set_Pr1013884327308616903od_o_o). 0.88/1.36 thf(decl_630, type, lex_pr568118237913915337at_nat: set_Pr1932065953672099015od_o_o > set_Pr4329608150637261639at_nat > set_Pr4427867301352232263at_nat). 0.88/1.36 thf(decl_631, type, lex_pr3343786553352869269od_o_o: set_Pr4329608150637261639at_nat > set_Pr1932065953672099015od_o_o > set_Pr2036461669354544199od_o_o). 0.88/1.36 thf(decl_632, type, lex_pr8000699672184251119at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat). 0.88/1.36 thf(decl_633, type, max_ex7572203241849361634od_o_o: set_Pr7011910401827753159od_o_o > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_634, type, max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_635, type, max_ex9141845325704764834od_o_o: set_Pr1013884327308616903od_o_o > set_Pr5368513128717298887od_o_o). 0.88/1.36 thf(decl_636, type, max_ex1111939896555521276at_nat: set_Pr4427867301352232263at_nat > set_Pr4391781608169641287at_nat). 0.88/1.36 thf(decl_637, type, max_ex8833738776070432290at_nat: set_Pr5564308138774400199at_nat > set_Pr7459493094073627847at_nat). 0.88/1.36 thf(decl_638, type, max_ex5401630698724402626od_o_o: set_Pr1932065953672099015od_o_o > set_Pr7077720281583819975od_o_o). 0.88/1.36 thf(decl_639, type, max_ex4535816423174879388at_nat: set_Pr4329608150637261639at_nat > set_Pr1604112560894399303at_nat). 0.88/1.36 thf(decl_640, type, measur5705974739304014543od_o_o: (set_Product_prod_o_o > nat) > set_Pr1932065953672099015od_o_o). 0.88/1.36 thf(decl_641, type, measur1827424007717751593at_nat: (set_Pr1261947904930325089at_nat > nat) > set_Pr4329608150637261639at_nat). 0.88/1.36 thf(decl_642, type, wf_o: set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_643, type, wf_nat: set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_644, type, wf_Pro3213319136295691984od_o_o: set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_645, type, wf_Pro661967360799104810at_nat: set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_646, type, wf_Pro2357547232388600144at_nat: set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_647, type, wf_set2384217916178216176od_o_o: set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_648, type, wf_set7675013139414177994at_nat: set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_649, type, same_f884114232143252012od_o_o: (set_Product_prod_o_o > $o) > (set_Product_prod_o_o > set_Pr1932065953672099015od_o_o) > set_Pr1013884327308616903od_o_o). 0.88/1.36 thf(decl_650, type, same_f6937299433074352134at_nat: (set_Product_prod_o_o > $o) > (set_Product_prod_o_o > set_Pr4329608150637261639at_nat) > set_Pr4427867301352232263at_nat). 0.88/1.36 thf(decl_651, type, same_f1460074399991292076at_nat: (set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > set_Pr5564308138774400199at_nat). 0.88/1.36 thf(decl_652, type, member_o: $o > set_o > $o). 0.88/1.36 thf(decl_653, type, member_nat: nat > set_nat > $o). 0.88/1.36 thf(decl_654, type, member_option_nat: option_nat > set_option_nat > $o). 0.88/1.36 thf(decl_655, type, member3623239300863961174od_o_o: option8293164206536526765od_o_o > set_op3605315081486705933od_o_o > $o). 0.88/1.36 thf(decl_656, type, member8056002749114821168at_nat: option7754883786268931591at_nat > set_op7555165197759865831at_nat > $o). 0.88/1.36 thf(decl_657, type, member4288423094740844502at_nat: option8699557107911914541at_nat > set_op989438649584373901at_nat > $o). 0.88/1.36 thf(decl_658, type, member_option_a: option_a > set_option_a > $o). 0.88/1.36 thf(decl_659, type, member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o). 0.88/1.36 thf(decl_660, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o). 0.88/1.36 thf(decl_661, type, member3169104723136097040od_o_o: produc4465838814804890855od_o_o > set_Pr7011910401827753159od_o_o > $o). 0.88/1.36 thf(decl_662, type, member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o). 0.88/1.36 thf(decl_663, type, member5560047953027865360od_o_o: produc2245965095621756647od_o_o > set_Pr1013884327308616903od_o_o > $o). 0.88/1.36 thf(decl_664, type, member3940829983276759018at_nat: produc1849724168463518785at_nat > set_Pr6579314390632234657at_nat > $o). 0.88/1.36 thf(decl_665, type, member7900332092847368336at_nat: produc7958968832500770151at_nat > set_Pr2596487125543962183at_nat > $o). 0.88/1.36 thf(decl_666, type, member670178137689646518od_o_o: produc7802444359731182093od_o_o > set_Pr7090123087317550701od_o_o > $o). 0.88/1.36 thf(decl_667, type, member208136763105818512at_nat: produc266773502759220327at_nat > set_Pr4427867301352232263at_nat > $o). 0.88/1.36 thf(decl_668, type, member3999834080665787702at_nat: produc3693384098587476621at_nat > set_Pr6877924626643063277at_nat > $o). 0.88/1.36 thf(decl_669, type, member625886800346054288od_o_o: produc684523539999456103od_o_o > set_Pr2036461669354544199od_o_o > $o). 0.88/1.36 thf(decl_670, type, member8203642551620930960od_o_o: produc8262279291274332775od_o_o > set_Pr4084129990900558663od_o_o > $o). 0.88/1.36 thf(decl_671, type, member3985572510901480042at_nat: produc3679122528823168961at_nat > set_Pr4797530719494571297at_nat > $o). 0.88/1.36 thf(decl_672, type, member6009668390874684176at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > $o). 0.88/1.36 thf(decl_673, type, member2052822272342364412_a_d_c: produc6150846815813599699_a_d_c > set_Pr7868159745199425715_a_d_c > $o). 0.88/1.36 thf(decl_674, type, member444158400953824016od_o_o: produc2934264451710624999od_o_o > set_Pr1932065953672099015od_o_o > $o). 0.88/1.36 thf(decl_675, type, member4095101504841534314at_nat: produc732395585841259969at_nat > set_Pr457366540195662369at_nat > $o). 0.88/1.36 thf(decl_676, type, member2037436044582932534od_o_o: produc7898102162437433997od_o_o > set_Pr8055703017043224813od_o_o > $o). 0.88/1.36 thf(decl_677, type, member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o). 0.88/1.36 thf(decl_678, type, member1944519956519572214od_o_o: produc6596275273598666829od_o_o > set_Pr3239150657641179053od_o_o > $o). 0.88/1.36 thf(decl_679, type, member156447988302929782at_nat: produc3968438819159352781at_nat > set_Pr6581084586331850797at_nat > $o). 0.88/1.36 thf(decl_680, type, member8293877710313108214at_nat: produc8974053812830014029at_nat > set_Pr4581046465826484141at_nat > $o). 0.88/1.36 thf(decl_681, type, member7606898804734335598at_nat: produc3770297804798658629at_nat > set_Pr8695894162071895333at_nat > $o). 0.88/1.36 thf(decl_682, type, member7930742895388902160od_o_o: produc6176228915706226407od_o_o > set_Pr8269993260027997383od_o_o > $o). 0.88/1.36 thf(decl_683, type, member1643650677906951352_o_nat: produc3814013152794810639_o_nat > set_Pr2083485662371163247_o_nat > $o). 0.88/1.36 thf(decl_684, type, member8824421929673164292_nat_o: produc1771412367706247771_nat_o > set_Pr6689048260218027963_nat_o > $o). 0.88/1.36 thf(decl_685, type, member8717407822839053200at_nat: produc743030839026790503at_nat > set_Pr8788114079658965319at_nat > $o). 0.88/1.36 thf(decl_686, type, member6130509595031242000_o_nat: produc7379504648073755111_o_nat > set_Pr6149578361169461959_o_nat > $o). 0.88/1.36 thf(decl_687, type, member2414491960730527720at_nat: produc8421973624431248703at_nat > set_Pr2070915713504248735at_nat > $o). 0.88/1.36 thf(decl_688, type, member6208704584088763408_nat_o: produc7457699637131276519_nat_o > set_Pr2690992919715838407_nat_o > $o). 0.88/1.36 thf(decl_689, type, member1892715368018688924at_nat: produc7900197031719409907at_nat > set_Pr6357112501083536723at_nat > $o). 0.88/1.36 thf(decl_690, type, member5855424355840516880at_nat: produc6487378988399798503at_nat > set_Pr5297940549829899463at_nat > $o). 0.88/1.36 thf(decl_691, type, member5998968164356017744od_o_o: produc1960492347614157607od_o_o > set_Pr1292856356524837895od_o_o > $o). 0.88/1.36 thf(decl_692, type, member7927422385807836842at_nat: produc3355805666032155649at_nat > set_Pr8072821036331221345at_nat > $o). 0.88/1.36 thf(decl_693, type, member2182030262393914128od_o_o: produc467843052564343527od_o_o > set_Pr6429226126823767239od_o_o > $o). 0.88/1.36 thf(decl_694, type, member1980351565637979088od_o_o: produc6064032768986720679od_o_o > set_Pr3623577098722237831od_o_o > $o). 0.88/1.36 thf(decl_695, type, member8415039729195402282at_nat: produc3003658523197049473at_nat > set_Pr6894797015334228705at_nat > $o). 0.88/1.36 thf(decl_696, type, member4079835277323035408at_nat: produc1903999119065525479at_nat > set_Pr1064757066610246855at_nat > $o). 0.88/1.36 thf(decl_697, type, member8532720315100152400od_o_o: produc2372601289563533607od_o_o > set_Pr6965126757148485639od_o_o > $o). 0.88/1.36 thf(decl_698, type, member7359442244455152298at_nat: produc8039618346972058113at_nat > set_Pr4375867511396588897at_nat > $o). 0.88/1.36 thf(decl_699, type, member2845199937591886608at_nat: produc5052769453400272615at_nat > set_Pr4654484256145968327at_nat > $o). 0.88/1.36 thf(decl_700, type, member3740103928775426832od_o_o: produc8963987812249958119od_o_o > set_Pr5368513128717298887od_o_o > $o). 0.88/1.36 thf(decl_701, type, member7768518508883498896at_nat: produc5306847434115292263at_nat > set_Pr4391781608169641287at_nat > $o). 0.88/1.36 thf(decl_702, type, member1466754251312161552at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > $o). 0.88/1.36 thf(decl_703, type, member8030178841557499788od_o_o: produc3217940817873794019od_o_o > set_Pr5465339146700379459od_o_o > $o). 0.88/1.36 thf(decl_704, type, member989342599902505446at_nat: produc6319085873323607741at_nat > set_Pr308927743835700381at_nat > $o). 0.88/1.36 thf(decl_705, type, member3483138326940501008um_o_o: produc5974065977577044711um_o_o > set_Pr9037604441019230663um_o_o > $o). 0.88/1.36 thf(decl_706, type, member3365704633057040844_o_nat: produc395215368487385379_o_nat > set_Pr8614431393250552707_o_nat > $o). 0.88/1.36 thf(decl_707, type, member7444511523098636876_nat_o: produc4474022258528981411_nat_o > set_Pr1345543789004997635_nat_o > $o). 0.88/1.36 thf(decl_708, type, member9006821182645044420at_nat: produc5153585639972752539at_nat > set_Pr4168889959610442875at_nat > $o). 0.88/1.36 thf(decl_709, type, member121125266993124560od_o_o: produc5450868540414226855od_o_o > set_Pr5192616823003386503od_o_o > $o). 0.88/1.36 thf(decl_710, type, member6178483945413987626at_nat: produc299292417334301313at_nat > set_Pr2243238557815556065at_nat > $o). 0.88/1.36 thf(decl_711, type, member8826396524424052564um_o_o: produc5855907259854397099um_o_o > set_Pr6890301357480955147um_o_o > $o). 0.88/1.36 thf(decl_712, type, member2972727061379769104_o_nat: produc8342863555562253031_o_nat > set_Pr5706656237632445639_o_nat > $o). 0.88/1.36 thf(decl_713, type, member7051533951421365136_nat_o: produc3198298408749073255_nat_o > set_Pr7661140670241666375_nat_o > $o). 0.88/1.36 thf(decl_714, type, member234890756356643848at_nat: produc4017409457303293023at_nat > set_Pr3469353857373938623at_nat > $o). 0.88/1.36 thf(decl_715, type, member4590549062032530512od_o_o: produc696920298598856999od_o_o > set_Pr6419213211702811143od_o_o > $o). 0.88/1.36 thf(decl_716, type, member4812592190795650218at_nat: produc8156772699570739713at_nat > set_Pr8020157162464038753at_nat > $o). 0.88/1.36 thf(decl_717, type, member8262324088718329556um_o_o: produc5291834824148674091um_o_o > set_Pr4885524344002532491um_o_o > $o). 0.88/1.36 thf(decl_718, type, member6655200516074465936_o_nat: produc2801964973402174055_o_nat > set_Pr6004696033780540487_o_nat > $o). 0.88/1.36 thf(decl_719, type, member1510635369261286160_nat_o: produc6880771863443770087_nat_o > set_Pr7959180466389761223_nat_o > $o). 0.88/1.36 thf(decl_720, type, member7654646017578591112at_nat: produc2213792681670464479at_nat > set_Pr6710357650329316159at_nat > $o). 0.88/1.36 thf(decl_721, type, member3285728679383846360od_o_o: produc6629909188158935855od_o_o > set_Pr2990377294110839183od_o_o > $o). 0.88/1.36 thf(decl_722, type, member3047918529990910514at_nat: produc8434689566910009353at_nat > set_Pr1627845231345427177at_nat > $o). 0.88/1.36 thf(decl_723, type, member952642050024735836um_o_o: produc6322778544207219763um_o_o > set_Pr9196163270038067219um_o_o > $o). 0.88/1.36 thf(decl_724, type, member6975117218213954584_o_nat: produc1534263882305827951_o_nat > set_Pr6274769524298744783_o_nat > $o). 0.88/1.36 thf(decl_725, type, member3674313732307032336at_nat: produc6206612473762214375at_nat > set_Pr8921550766394648263at_nat > $o). 0.88/1.36 thf(decl_726, type, member9169340693537962768od_o_o: produc7004997421203748071od_o_o > set_Pr7077720281583819975od_o_o > $o). 0.88/1.36 thf(decl_727, type, member4300370950623927696at_nat: produc7299876168958306407at_nat > set_Pr1604112560894399303at_nat > $o). 0.88/1.36 thf(decl_728, type, member3157015407008874800od_o_o: set_Product_prod_o_o > set_se491199571785101031od_o_o > $o). 0.88/1.36 thf(decl_729, type, member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o). 0.88/1.36 thf(decl_730, type, member4387393612980313840od_o_o: set_Pr1932065953672099015od_o_o > set_se9147984907235033255od_o_o > $o). 0.88/1.36 thf(decl_731, type, member3243375828287704010at_nat: set_Pr457366540195662369at_nat > set_se5885513654436145793at_nat > $o). 0.88/1.36 thf(decl_732, type, member6273874620674182256at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > $o). 0.88/1.36 thf(decl_733, type, member2239101972932892176od_o_o: set_se491199571785101031od_o_o > set_se5342866143169225671od_o_o > $o). 0.88/1.36 thf(decl_734, type, member8313122109188517482at_nat: set_se7855581050983116737at_nat > set_se5158245632345848097at_nat > $o). 0.88/1.36 thf(decl_735, type, member_a: a > set_a > $o). 0.88/1.36 thf(decl_736, type, a2: assertion_a_b_c_d). 0.88/1.36 thf(decl_737, type, b2: assertion_a_b_c_d). 0.88/1.36 thf(decl_738, type, delta: (d > c) > set_a). 0.88/1.36 thf(decl_739, type, sigma: a). 0.88/1.36 thf(decl_740, type, sigma2: a). 0.88/1.36 thf(decl_741, type, a3: a). 0.88/1.36 thf(decl_742, type, aa: a). 0.88/1.36 thf(decl_743, type, mult: b > a > a). 0.88/1.36 thf(decl_744, type, one: b). 0.88/1.36 thf(decl_745, type, p: b). 0.88/1.36 thf(decl_746, type, plus: a > a > option_a). 0.88/1.36 thf(decl_747, type, s: d > c). 0.88/1.36 thf(decl_748, type, sadd: b > b > b). 0.88/1.36 thf(decl_749, type, sinv: b > b). 0.88/1.36 thf(decl_750, type, smult: b > b > b). 0.88/1.36 thf(decl_751, type, thesis: $o). 0.88/1.36 thf(decl_752, type, valid: a > $o). 0.88/1.36 thf(decl_753, type, x: a). 0.88/1.36 thf(decl_754, type, esk1_5: a > (d > c) > ((d > c) > set_a) > b > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_755, type, esk2_5: a > b > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_756, type, esk3_2: a > a > a). 0.88/1.36 thf(decl_757, type, esk4_4: a > a > a > a > a). 0.88/1.36 thf(decl_758, type, esk5_5: (a > a > option_a) > a > a > a > a > a). 0.88/1.36 thf(decl_759, type, esk6_1: option_a > a). 0.88/1.36 thf(decl_760, type, esk7_1: option_a > a). 0.88/1.36 thf(decl_761, type, esk8_3: option_a > (option_a > option_a > $o) > option_a > a). 0.88/1.36 thf(decl_762, type, esk9_3: option_a > (option_a > option_a > $o) > option_a > a). 0.88/1.36 thf(decl_763, type, esk10_1: option_a > a). 0.88/1.36 thf(decl_764, type, esk11_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > b > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_765, type, esk12_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > b > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_766, type, esk13_0: a). 0.88/1.36 thf(decl_767, type, esk14_0: a). 0.88/1.36 thf(decl_768, type, esk15_5: (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_769, type, esk16_5: (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_770, type, esk17_5: a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_771, type, esk18_5: a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_772, type, esk19_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_773, type, esk20_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_774, type, esk21_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_775, type, esk22_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_776, type, esk23_5: (a > a > option_a) > (b > a > a) > (b > b > b) > b > b > b). 0.88/1.36 thf(decl_777, type, esk24_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_778, type, esk25_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_779, type, esk26_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > assertion_a_b_c_d > ((d > c) > set_a) > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_780, type, esk27_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > assertion_a_b_c_d > ((d > c) > set_a) > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_781, type, esk28_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_782, type, esk29_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_783, type, esk30_3: assertion_a_b_c_d > ((d > c) > set_a) > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_784, type, esk31_3: assertion_a_b_c_d > ((d > c) > set_a) > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_785, type, esk32_3: ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_786, type, esk33_3: ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_787, type, esk34_5: a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_788, type, esk35_5: a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_789, type, epred1_1: assertion_a_b_c_d > (d > c) > a > $o). 0.88/1.36 thf(decl_790, type, esk36_1: assertion_a_b_c_d > b). 0.88/1.36 thf(decl_791, type, esk37_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_792, type, esk38_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_793, type, esk39_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_794, type, esk40_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_795, type, esk41_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_796, type, esk42_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_797, type, esk43_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_798, type, esk44_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_799, type, esk45_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_800, type, esk46_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_801, type, esk47_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_802, type, esk48_1: assertion_a_b_c_d > d). 0.88/1.36 thf(decl_803, type, esk49_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_804, type, esk50_1: assertion_a_b_c_d > d). 0.88/1.36 thf(decl_805, type, esk51_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_806, type, esk52_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_807, type, esk53_1: assertion_a_b_c_d > assertion_a_b_c_d). 0.88/1.36 thf(decl_808, type, esk54_2: b > b > b). 0.88/1.36 thf(decl_809, type, esk55_4: a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_810, type, esk56_4: a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > b). 0.88/1.36 thf(decl_811, type, esk57_11: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_812, type, esk58_11: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > assertion_a_b_c_d > b). 0.88/1.36 thf(decl_813, type, esk59_5: a > (d > c) > ((d > c) > set_a) > d > assertion_a_b_c_d > c). 0.88/1.36 thf(decl_814, type, esk60_5: a > (d > c) > d > ((d > c) > set_a) > assertion_a_b_c_d > c). 0.88/1.36 thf(decl_815, type, esk61_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > d > assertion_a_b_c_d > c). 0.88/1.36 thf(decl_816, type, esk62_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > d > ((d > c) > set_a) > assertion_a_b_c_d > c). 0.88/1.36 thf(decl_817, type, esk63_3: ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_818, type, esk64_3: ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_819, type, esk65_3: ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_820, type, esk66_3: ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_821, type, esk67_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_822, type, esk68_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_823, type, esk69_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > a). 0.88/1.36 thf(decl_824, type, esk70_10: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > ((d > c) > set_a) > assertion_a_b_c_d > assertion_a_b_c_d > d > c). 0.88/1.36 thf(decl_825, type, esk71_5: a > (d > c) > ((d > c) > set_a) > d > assertion_a_b_c_d > c). 0.88/1.36 thf(decl_826, type, esk72_12: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > a > (d > c) > ((d > c) > set_a) > d > assertion_a_b_c_d > c). 0.88/1.36 thf(decl_827, type, esk73_3: (a > a > option_a) > a > a > a). 0.88/1.36 thf(decl_828, type, esk74_1: (option_a > $o) > option_a). 0.88/1.36 thf(decl_829, type, esk75_1: (option_a > $o) > a). 0.88/1.36 thf(decl_830, type, esk76_1: (option_a > $o) > a). 0.88/1.36 thf(decl_831, type, esk77_1: (option_a > $o) > option_a). 0.88/1.36 thf(decl_832, type, esk78_3: a > (a > a > option_a) > a > a). 0.88/1.36 thf(decl_833, type, esk79_3: (a > a > option_a) > a > a > a). 0.88/1.36 thf(decl_834, type, epred2_7: (a > $o) > b > (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b) > (b > b > b) > $o). 0.88/1.36 thf(decl_835, type, esk80_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_836, type, esk81_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_837, type, esk82_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_838, type, esk83_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_839, type, esk84_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_840, type, esk85_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_841, type, esk86_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_842, type, esk87_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_843, type, esk88_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_844, type, esk89_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_845, type, esk90_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_846, type, esk91_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_847, type, esk92_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_848, type, esk93_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_849, type, esk94_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_850, type, esk95_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_851, type, esk96_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_852, type, esk97_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_853, type, esk98_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_854, type, esk99_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_855, type, esk100_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_856, type, esk101_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_857, type, esk102_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_858, type, esk103_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_859, type, esk104_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_860, type, esk105_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_861, type, esk106_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_862, type, esk107_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_863, type, esk108_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_864, type, esk109_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_865, type, esk110_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_866, type, esk111_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 0.88/1.36 thf(decl_867, type, esk112_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_868, type, esk113_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_869, type, esk114_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(decl_870, type, esk115_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 0.88/1.36 thf(fact_172_pre__logic_Ocompatible__def, axiom, ((pre_compatible_a)=(^[X79:a > a > option_a, X31:a, X32:a]:(((X79 @ X31 @ X32)!=(none_a))))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_172_pre__logic_Ocompatible__def)). 0.88/1.36 thf(fact_82_logic_Ounique__inv, axiom, ![X68:a > a > option_a, X69:b > a > a, X70:b > b > b, X71:b > b > b, X72:b > b, X73:b, X74:a > $o, X2:a, X1:b, X3:a]:(((logic_a_b @ X68 @ X69 @ X70 @ X71 @ X72 @ X73 @ X74)=>(((X2)=(X69 @ X1 @ X3))<=>((X3)=(X69 @ (X72 @ X1) @ X2))))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_82_logic_Ounique__inv)). 0.88/1.36 thf(fact_18_compatible__iff, axiom, ![X2:a, X3:a, X1:b]:(((pre_compatible_a @ plus @ X2 @ X3)<=>(pre_compatible_a @ plus @ (mult @ X1 @ X2) @ (mult @ X1 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_18_compatible__iff)). 0.88/1.36 thf(fact_0_can__divide, axiom, ![X1:b, X2:a, X3:a]:((((mult @ X1 @ X2)=(mult @ X1 @ X3))=>((X2)=(X3)))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_0_can__divide)). 0.88/1.36 thf(fact_1_commutative, axiom, ![X2:a, X3:a]:(((plus @ X2 @ X3)=(plus @ X3 @ X2))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_1_commutative)). 0.88/1.36 thf(fact_2__092_060open_062a_A_061_Ap_A_092_060odot_062_Aaa_092_060close_062, axiom, ((a3)=(mult @ p @ aa)), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_2__092_060open_062a_A_061_Ap_A_092_060odot_062_Aaa_092_060close_062)). 0.88/1.36 thf(fact_70_logic__axioms, axiom, (logic_a_b @ plus @ mult @ smult @ sadd @ sinv @ one @ valid), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_70_logic__axioms)). 0.88/1.36 thf(conj_0, hypothesis, ![X3534:a]:((((some_a @ X3534)=(plus @ x @ aa))=>(thesis))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', conj_0)). 0.88/1.36 thf(conj_1, conjecture, (thesis), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', conj_1)). 0.88/1.36 thf(fact_6__092_060open_062_092_060sigma_062_A_061_Ap_A_092_060odot_062_Ax_092_060close_062, axiom, ((sigma2)=(mult @ p @ x)), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_6__092_060open_062_092_060sigma_062_A_061_Ap_A_092_060odot_062_Ax_092_060close_062)). 0.88/1.36 thf(fact_159_not__Some__eq, axiom, ![X128:option_a]:((![X129:a]:(((X128)!=(some_a @ X129)))<=>((X128)=(none_a)))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_159_not__Some__eq)). 0.88/1.36 thf(fact_169_option_Odistinct_I1_J, axiom, ![X13:a]:(((none_a)!=(some_a @ X13))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_169_option_Odistinct_I1_J)). 0.88/1.36 thf(fact_30__092_060open_062a_M_As_M_A_092_060Delta_062_A_092_060Turnstile_062_AMult_Ap_AA_A_092_060and_062_ASome_A_092_060sigma_062_H_A_061_A_092_060sigma_062_A_092_060oplus_062_Aa_092_060close_062, axiom, ((sat_a_b_d_c @ plus @ mult @ valid @ a3 @ s @ delta @ (mult_b_a_c_d @ p @ a2))&((some_a @ sigma)=(plus @ sigma2 @ a3))), file('/export/starexec/sandbox/tmp/tmp.9o4hThs6W8/Vampire---4.8_6679', fact_30__092_060open_062a_M_As_M_A_092_060Delta_062_A_092_060Turnstile_062_AMult_Ap_AA_A_092_060and_062_ASome_A_092_060sigma_062_H_A_061_A_092_060sigma_062_A_092_060oplus_062_Aa_092_060close_062)). 0.88/1.36 thf(c_0_13, plain, ((pre_compatible_a)=(^[Z0:a > a > option_a, Z1:a, Z2:a]:(((Z0 @ Z1 @ Z2)!=(none_a))))), inference(fof_simplification,[status(thm)],[fact_172_pre__logic_Ocompatible__def])). 0.88/1.36 thf(c_0_14, plain, ((pre_compatible_a)=(^[Z0:a > a > option_a, Z1:a, Z2:a]:(((Z0 @ Z1 @ Z2)!=(none_a))))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.88/1.36 thf(c_0_15, plain, ![X5025:a > a > option_a, X5026:b > a > a, X5027:b > b > b, X5028:b > b > b, X5029:b > b, X5030:b, X5031:a > $o, X5032:a, X5033:b, X5034:a]:(((((X5032)!=(X5026 @ X5033 @ X5034))|((X5034)=(X5026 @ (X5029 @ X5033) @ X5032))|~(logic_a_b @ X5025 @ X5026 @ X5027 @ X5028 @ X5029 @ X5030 @ X5031))&(((X5034)!=(X5026 @ (X5029 @ X5033) @ X5032))|((X5032)=(X5026 @ X5033 @ X5034))|~(logic_a_b @ X5025 @ X5026 @ X5027 @ X5028 @ X5029 @ X5030 @ X5031)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_82_logic_Ounique__inv])])])). 0.88/1.36 thf(c_0_16, plain, ![X5543:a, X5542:a > a > option_a, X5544:a]:((((X5542 @ X5543 @ X5544)!=(none_a))<=>(pre_compatible_a @ X5542 @ X5543 @ X5544))), inference(arg_cong,[status(thm)],[c_0_14])). 0.88/1.36 thf(c_0_17, plain, ![X4678:a, X4679:a, X4680:b]:(((~(pre_compatible_a @ plus @ X4678 @ X4679)|(pre_compatible_a @ plus @ (mult @ X4680 @ X4678) @ (mult @ X4680 @ X4679)))&(~(pre_compatible_a @ plus @ (mult @ X4680 @ X4678) @ (mult @ X4680 @ X4679))|(pre_compatible_a @ plus @ X4678 @ X4679)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_18_compatible__iff])])). 0.88/1.36 thf(c_0_18, plain, ![X4672:b, X4673:a, X4674:a]:((((mult @ X4672 @ X4673)!=(mult @ X4672 @ X4674))|((X4673)=(X4674)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_can__divide])])). 0.88/1.36 thf(c_0_19, plain, ![X2:a, X1:b, X3:a, X68:a > a > option_a, X70:b > b > b, X69:b > a > a, X21:b, X71:b > b > b, X72:b > b, X74:a > $o]:((((X3)=(X69 @ X1 @ X2))|((X2)!=(X69 @ (X72 @ X1) @ X3))|~((logic_a_b @ X68 @ X69 @ X70 @ X71 @ X72 @ X21 @ X74)))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.88/1.36 thf(c_0_20, plain, ![X2:a, X68:a > a > option_a, X3:a]:((((X68 @ X2 @ X3)!=(none_a))|~((pre_compatible_a @ X68 @ X2 @ X3)))), inference(dynamic cnf,[status(thm)],[c_0_16])). 0.88/1.36 thf(c_0_21, plain, ![X1:b, X2:a, X3:a]:(((pre_compatible_a @ plus @ (mult @ X1 @ X2) @ (mult @ X1 @ X3))|~((pre_compatible_a @ plus @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.88/1.36 thf(c_0_22, plain, ![X4493:a, X4494:a]:(((plus @ X4493 @ X4494)=(plus @ X4494 @ X4493))), inference(variable_rename,[status(thm)],[fact_1_commutative])). 0.88/1.36 thf(c_0_23, plain, ![X1:b, X2:a, X3:a]:((((X2)=(X3))|((mult @ X1 @ X2)!=(mult @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.88/1.36 thf(c_0_24, plain, ((a3)=(mult @ p @ aa)), inference(split_conjunct,[status(thm)],[fact_2__092_060open_062a_A_061_Ap_A_092_060odot_062_Aaa_092_060close_062])). 0.88/1.36 thf(c_0_25, plain, ![X1:b, X2:a, X68:a > a > option_a, X70:b > b > b, X69:b > a > a, X21:b, X71:b > b > b, X72:b > b, X74:a > $o]:((((X69 @ X1 @ (X69 @ (X72 @ X1) @ X2))=(X2))|~((logic_a_b @ X68 @ X69 @ X70 @ X71 @ X72 @ X21 @ X74)))), inference(er,[status(thm)],[c_0_19])). 0.88/1.36 thf(c_0_26, plain, (logic_a_b @ plus @ mult @ smult @ sadd @ sinv @ one @ valid), inference(split_conjunct,[status(thm)],[fact_70_logic__axioms])). 0.88/1.36 thf(c_0_27, hypothesis, ![X4492:a]:((((some_a @ X4492)!=(plus @ x @ aa))|(thesis))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])). 0.88/1.36 thf(c_0_28, negated_conjecture, ~(thesis), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])). 0.88/1.36 thf(c_0_29, plain, ![X1:b, X2:a, X3:a]:((((plus @ (mult @ X1 @ X2) @ (mult @ X1 @ X3))!=(none_a))|~((pre_compatible_a @ plus @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.88/1.36 thf(c_0_30, plain, ![X3:a, X2:a]:(((plus @ X2 @ X3)=(plus @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.88/1.36 thf(c_0_31, plain, ![X2:a]:((((X2)=(aa))|((mult @ p @ X2)!=(a3)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.88/1.36 thf(c_0_32, plain, ![X1:b, X2:a]:(((mult @ X1 @ (mult @ (sinv @ X1) @ X2))=(X2))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.88/1.36 thf(c_0_33, plain, ((sigma2)=(mult @ p @ x)), inference(split_conjunct,[status(thm)],[fact_6__092_060open_062_092_060sigma_062_A_061_Ap_A_092_060odot_062_Ax_092_060close_062])). 0.88/1.36 thf(c_0_34, hypothesis, ![X2:a]:(((thesis)|((some_a @ X2)!=(plus @ x @ aa)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.88/1.36 thf(c_0_35, negated_conjecture, ~((thesis)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.88/1.36 thf(c_0_36, plain, ![X4654:option_a, X4656:option_a, X4657:a]:(((((X4654)=(some_a @ (esk6_1 @ X4654)))|((X4654)=(none_a)))&(((X4656)!=(none_a))|((X4656)!=(some_a @ X4657))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_159_not__Some__eq])])])])])). 0.88/1.36 thf(c_0_37, plain, ![X1:b, X3:a, X2:a]:((((plus @ (mult @ X1 @ X2) @ (mult @ X1 @ X3))!=(none_a))|~((pre_compatible_a @ plus @ X3 @ X2)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.88/1.36 thf(c_0_38, plain, ((mult @ (sinv @ p) @ a3)=(aa)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32])])). 0.88/1.36 thf(c_0_39, plain, ![X2:a]:((((X2)=(x))|((mult @ p @ X2)!=(sigma2)))), inference(spm,[status(thm)],[c_0_23, c_0_33])). 0.88/1.36 thf(c_0_40, hypothesis, ![X2:a]:(((some_a @ X2)!=(plus @ x @ aa))), inference(sr,[status(thm)],[c_0_34, c_0_35])). 0.88/1.36 thf(c_0_41, plain, ![X128:option_a]:((((X128)=(some_a @ (esk6_1 @ X128)))|((X128)=(none_a)))), inference(split_conjunct,[status(thm)],[c_0_36])). 0.88/1.36 thf(c_0_42, plain, ![X2:a]:((((plus @ aa @ (mult @ (sinv @ p) @ X2))!=(none_a))|~((pre_compatible_a @ plus @ X2 @ a3)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.88/1.36 thf(c_0_43, plain, ((mult @ (sinv @ p) @ sigma2)=(x)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_32])])). 0.88/1.36 thf(c_0_44, hypothesis, ((plus @ x @ aa)=(none_a)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41])])). 0.88/1.36 thf(c_0_45, plain, ![X4671:a]:(((none_a)!=(some_a @ X4671))), inference(variable_rename,[status(thm)],[fact_169_option_Odistinct_I1_J])). 0.88/1.36 thf(c_0_46, plain, ~((pre_compatible_a @ plus @ sigma2 @ a3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_30]), c_0_44])])). 0.88/1.36 thf(c_0_47, plain, ![X2:a, X68:a > a > option_a, X3:a]:((((X68 @ X2 @ X3)=(none_a))|(pre_compatible_a @ X68 @ X2 @ X3))), inference(dynamic cnf,[status(thm)],[c_0_16])). 0.88/1.36 thf(c_0_48, plain, ((some_a @ sigma)=(plus @ sigma2 @ a3)), inference(split_conjunct,[status(thm)],[fact_30__092_060open_062a_M_As_M_A_092_060Delta_062_A_092_060Turnstile_062_AMult_Ap_AA_A_092_060and_062_ASome_A_092_060sigma_062_H_A_061_A_092_060sigma_062_A_092_060oplus_062_Aa_092_060close_062])). 0.88/1.36 thf(c_0_49, plain, ![X2:a]:(((none_a)!=(some_a @ X2))), inference(split_conjunct,[status(thm)],[c_0_45])). 0.88/1.36 thf(c_0_50, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49]), ['proof']). 0.88/1.36 # SZS output end CNFRefutation 0.88/1.36 # Parsed axioms : 2191 0.88/1.36 # Removed by relevancy pruning/SinE : 2033 0.88/1.36 # Initial clauses : 254 0.88/1.36 # Removed in clause preprocessing : 16 0.88/1.36 # Initial clauses in saturation : 238 0.88/1.36 # Processed clauses : 769 0.88/1.36 # ...of these trivial : 16 0.88/1.36 # ...subsumed : 121 0.88/1.36 # ...remaining for further processing : 632 0.88/1.36 # Other redundant clauses eliminated : 69 0.88/1.36 # Clauses deleted for lack of memory : 0 0.88/1.36 # Backward-subsumed : 6 0.88/1.36 # Backward-rewritten : 12 0.88/1.36 # Generated clauses : 2570 0.88/1.36 # ...of the previous two non-redundant : 2316 0.88/1.36 # ...aggressively subsumed : 0 0.88/1.36 # Contextual simplify-reflections : 0 0.88/1.36 # Paramodulations : 2363 0.88/1.36 # Factorizations : 0 0.88/1.36 # NegExts : 0 0.88/1.36 # Equation resolutions : 76 0.88/1.36 # Propositional unsat checks : 0 0.88/1.36 # Propositional check models : 0 0.88/1.36 # Propositional check unsatisfiable : 0 0.88/1.36 # Propositional clauses : 0 0.88/1.36 # Propositional clauses after purity: 0 0.88/1.36 # Propositional unsat core size : 0 0.88/1.36 # Propositional preprocessing time : 0.000 0.88/1.36 # Propositional encoding time : 0.000 0.88/1.36 # Propositional solver time : 0.000 0.88/1.36 # Success case prop preproc time : 0.000 0.88/1.36 # Success case prop encoding time : 0.000 0.88/1.36 # Success case prop solver time : 0.000 0.88/1.36 # Current number of processed clauses : 369 0.88/1.36 # Positive orientable unit clauses : 67 0.88/1.36 # Positive unorientable unit clauses: 4 0.88/1.36 # Negative unit clauses : 26 0.88/1.36 # Non-unit-clauses : 272 0.88/1.36 # Current number of unprocessed clauses: 1990 0.88/1.36 # ...number of literals in the above : 9802 0.88/1.36 # Current number of archived formulas : 0 0.88/1.36 # Current number of archived clauses : 254 0.88/1.36 # Clause-clause subsumption calls (NU) : 87062 0.88/1.36 # Rec. Clause-clause subsumption calls : 19449 0.88/1.36 # Non-unit clause-clause subsumptions : 90 0.88/1.36 # Unit Clause-clause subsumption calls : 1636 0.88/1.36 # Rewrite failures with RHS unbound : 0 0.88/1.36 # BW rewrite match attempts : 142 0.88/1.36 # BW rewrite match successes : 33 0.88/1.36 # Condensation attempts : 769 0.88/1.36 # Condensation successes : 0 0.88/1.36 # Termbank termtop insertions : 173589 0.88/1.36 0.88/1.36 # ------------------------------------------------- 0.88/1.36 # User time : 0.303 s 0.88/1.36 # System time : 0.022 s 0.88/1.36 # Total time : 0.325 s 0.88/1.36 # Maximum resident set size: 9748 pages 0.88/1.36 0.88/1.36 # ------------------------------------------------- 0.88/1.36 # User time : 0.397 s 0.88/1.36 # System time : 0.029 s 0.88/1.36 # Total time : 0.426 s 0.88/1.36 # Maximum resident set size: 7088 pages 0.88/1.36 EOF