0.10/0.25 % Problem : SLH0098^1 : TPTP v8.2.0. Released v8.2.0. 0.10/0.26 % Command : run_E %s %d THM 0.25/0.47 % Computer : n026.cluster.edu 0.25/0.47 % Model : x86_64 x86_64 0.25/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.25/0.47 % Memory : 8042.1875MB 0.25/0.47 % OS : Linux 3.10.0-693.el7.x86_64 0.25/0.47 % CPULimit : 30 0.25/0.47 % WCLimit : 30 0.25/0.47 % DateTime : Mon Jul 3 08:45:52 EDT 2023 0.25/0.47 % CPUTime : 0.42/0.60 The problem SPC is TH0_THM_EQU_NAR 0.42/0.60 Running higher-order on 1 cores theorem proving 0.42/0.60 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.9FRtoctowQ/Vampire---4.8_10756 0.45/0.60 # Version: 3.0pre003-ho 1.13/1.37 # Preprocessing class: HMLMSMSMSSLCHSA. 1.13/1.37 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.13/1.37 # Starting new_ho_10 with 30s (1) cores 1.13/1.37 # new_ho_10 with pid 10935 completed with status 0 1.13/1.37 # Result found by new_ho_10 1.13/1.37 # Preprocessing class: HMLMSMSMSSLCHSA. 1.13/1.37 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.13/1.37 # Starting new_ho_10 with 30s (1) cores 1.13/1.37 # No SInE strategy applied 1.13/1.37 # Search class: HGHSM-SMLM32-MHSFFSBN 1.13/1.37 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 1.13/1.37 # Starting sh2 with 13s (1) cores 1.13/1.37 # sh2 with pid 10936 completed with status 0 1.13/1.37 # Result found by sh2 1.13/1.37 # Preprocessing class: HMLMSMSMSSLCHSA. 1.13/1.37 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.13/1.37 # Starting new_ho_10 with 30s (1) cores 1.13/1.37 # No SInE strategy applied 1.13/1.37 # Search class: HGHSM-SMLM32-MHSFFSBN 1.13/1.37 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 1.13/1.37 # Starting sh2 with 13s (1) cores 1.13/1.37 # Preprocessing time : 0.035 s 1.13/1.37 # Presaturation interreduction done 1.13/1.37 1.13/1.37 # Proof found! 1.13/1.37 # SZS status Theorem 1.13/1.37 # SZS output start CNFRefutation 1.13/1.37 thf(decl_22, type, bNF_Gr1758829368316449381tion_a: set_op7160277562814721357od_a_a > (option5210160422955383789od_a_a > option_a) > option5210160422955383789od_a_a > option_a > $o). 1.13/1.37 thf(decl_23, type, bNF_Gr5654676046521400910tion_a: set_option_a > (option_a > option_a) > option_a > option_a > $o). 1.13/1.37 thf(decl_24, type, bNF_Grp_a_a: set_a > (a > a) > a > a > $o). 1.13/1.37 thf(decl_25, type, bNF_eq_onp_option_a: (option_a > $o) > option_a > option_a > $o). 1.13/1.37 thf(decl_26, type, bNF_eq_onp_a: (a > $o) > a > a > $o). 1.13/1.37 thf(decl_27, type, bNF_re8007680959799151545on_a_o: ((option_a > $o) > (option_a > $o) > $o) > ((option_option_a > $o) > (option_option_a > $o) > $o) > ((option_a > $o) > option_option_a > $o) > ((option_a > $o) > option_option_a > $o) > $o). 1.13/1.37 thf(decl_28, type, bNF_re5724521104517466949tion_o: ((option_a > $o) > (option_a > $o) > $o) > ((option_option_a > option_o) > (option_option_a > option_o) > $o) > ((option_a > $o) > option_option_a > option_o) > ((option_a > $o) > option_option_a > option_o) > $o). 1.13/1.37 thf(decl_29, type, bNF_re294699121693105817on_a_o: ((option_a > $o) > (option_a > $o) > $o) > ((option_a > $o > option_a > $o) > (option_a > $o > option_a > $o) > $o) > ((option_a > $o) > option_a > $o > option_a > $o) > ((option_a > $o) > option_a > $o > option_a > $o) > $o). 1.13/1.37 thf(decl_30, type, bNF_re3412046433515172957on_a_o: ((a > option_a > $o) > (a > option_a > $o) > $o) > ((option_a > option_option_a > $o) > (option_a > option_option_a > $o) > $o) > ((a > option_a > $o) > option_a > option_option_a > $o) > ((a > option_a > $o) > option_a > option_option_a > $o) > $o). 1.13/1.37 thf(decl_31, type, bNF_re4921454823102592605on_a_o: ((a > a > $o) > (a > a > $o) > $o) > ((option_a > option_a > $o) > (option_a > option_a > $o) > $o) > ((a > a > $o) > option_a > option_a > $o) > ((a > a > $o) > option_a > option_a > $o) > $o). 1.13/1.37 thf(decl_32, type, bNF_re4859868158825367505on_a_o: ((a > $o) > (a > $o) > $o) > ((option_a > $o) > (option_a > $o) > $o) > ((a > $o) > option_a > $o) > ((a > $o) > option_a > $o) > $o). 1.13/1.37 thf(decl_33, type, bNF_re2369685550566307625tion_a: ((a > $o) > (a > option_a) > $o) > ((option_a > $o) > (option_a > option_a) > $o) > ((a > $o) > option_a > $o) > ((a > option_a) > option_a > option_a) > $o). 1.13/1.37 thf(decl_34, type, bNF_re102678143051736477on_a_a: ((a > $o) > (a > a) > $o) > ((option_a > $o) > (option_a > a) > $o) > ((a > $o) > option_a > $o) > ((a > a) > option_a > a) > $o). 1.13/1.37 thf(decl_35, type, bNF_re6058157240589548841on_a_o: ((a > option_a) > (a > $o) > $o) > ((option_a > option_a) > (option_a > $o) > $o) > ((a > option_a) > option_a > option_a) > ((a > $o) > option_a > $o) > $o). 1.13/1.37 thf(decl_36, type, bNF_re2496629990708770829tion_a: ((a > option_a) > (a > option_a) > $o) > ((option_a > option_option_a) > (option_a > option_option_a) > $o) > ((a > option_a) > option_a > option_option_a) > ((a > option_a) > option_a > option_option_a) > $o). 1.13/1.37 thf(decl_37, type, bNF_re2722752998287985793tion_a: ((a > option_a) > (a > option_a) > $o) > ((option_a > option_a) > (option_a > option_a) > $o) > ((a > option_a) > option_a > option_a) > ((a > option_a) > option_a > option_a) > $o). 1.13/1.37 thf(decl_38, type, bNF_re4933961146405920325tion_a: ((a > option_a) > (a > option_a) > $o) > ((a > option_a > a > option_a) > (a > option_a > a > option_a) > $o) > ((a > option_a) > a > option_a > a > option_a) > ((a > option_a) > a > option_a > a > option_a) > $o). 1.13/1.37 thf(decl_39, type, bNF_re5527783635739595829tion_a: ((a > option_a) > (a > option_a) > $o) > (option_a > option_a > $o) > ((a > option_a) > option_a) > ((a > option_a) > option_a) > $o). 1.13/1.37 thf(decl_40, type, bNF_re5072729714030605557on_a_a: ((a > option_a) > (a > a) > $o) > ((option_a > option_a) > (option_a > a) > $o) > ((a > option_a) > option_a > option_a) > ((a > a) > option_a > a) > $o). 1.13/1.37 thf(decl_41, type, bNF_re4058884933032857501on_a_o: ((a > a) > (a > $o) > $o) > ((option_a > a) > (option_a > $o) > $o) > ((a > a) > option_a > a) > ((a > $o) > option_a > $o) > $o). 1.13/1.37 thf(decl_42, type, bNF_re7263069294043397365tion_a: ((a > a) > (a > option_a) > $o) > ((option_a > a) > (option_a > option_a) > $o) > ((a > a) > option_a > a) > ((a > option_a) > option_a > option_a) > $o). 1.13/1.37 thf(decl_43, type, bNF_re8471833820502647285tion_a: ((a > a) > (a > a) > $o) > ((option_a > option_a) > (option_a > option_a) > $o) > ((a > a) > option_a > option_a) > ((a > a) > option_a > option_a) > $o). 1.13/1.37 thf(decl_44, type, bNF_re1079736789768479081on_a_a: ((a > a) > (a > a) > $o) > ((option_a > a) > (option_a > a) > $o) > ((a > a) > option_a > a) > ((a > a) > option_a > a) > $o). 1.13/1.37 thf(decl_45, type, bNF_re7775980886671535221on_a_o: ($o > $o > $o) > (((option_a > $o) > option_option_a > $o) > ((option_a > $o) > option_option_a > $o) > $o) > ($o > (option_a > $o) > option_option_a > $o) > ($o > (option_a > $o) > option_option_a > $o) > $o). 1.13/1.37 thf(decl_46, type, bNF_re1464701735350397069on_a_o: ($o > $o > $o) > (((a > $o) > option_a > $o) > ((a > $o) > option_a > $o) > $o) > ($o > (a > $o) > option_a > $o) > ($o > (a > $o) > option_a > $o) > $o). 1.13/1.37 thf(decl_47, type, bNF_re5310993362035161937on_a_o: ($o > $o > $o) > ((option_a > $o) > (option_a > $o) > $o) > ($o > option_a > $o) > ($o > option_a > $o) > $o). 1.13/1.37 thf(decl_48, type, bNF_re7078363273947182481tion_a: ($o > option_a > $o) > (((a > $o) > option_a > $o) > ((a > option_a) > option_a > option_a) > $o) > ($o > (a > $o) > option_a > $o) > (option_a > (a > option_a) > option_a > option_a) > $o). 1.13/1.37 thf(decl_49, type, bNF_re4337018088969878591on_a_a: ($o > a > $o) > (((a > $o) > option_a > $o) > ((a > a) > option_a > a) > $o) > ($o > (a > $o) > option_a > $o) > (a > (a > a) > option_a > a) > $o). 1.13/1.37 thf(decl_50, type, bNF_re669219658517073757_a_o_o: (option_option_a > option_option_a > $o) > ($o > $o > $o) > (option_option_a > $o) > (option_option_a > $o) > $o). 1.13/1.37 thf(decl_51, type, bNF_re7165334401771760221tion_o: (option_option_a > option_option_a > $o) > (option_o > option_o > $o) > (option_option_a > option_o) > (option_option_a > option_o) > $o). 1.13/1.37 thf(decl_52, type, bNF_re4311958519388381497on_a_o: (option_a > $o > $o) > (((a > option_a) > option_a > option_a) > ((a > $o) > option_a > $o) > $o) > (option_a > (a > option_a) > option_a > option_a) > ($o > (a > $o) > option_a > $o) > $o). 1.13/1.37 thf(decl_53, type, bNF_re1266155380144051773tion_a: (option_a > option_a > $o) > (((a > option_a) > option_a > option_a) > ((a > option_a) > option_a > option_a) > $o) > (option_a > (a > option_a) > option_a > option_a) > (option_a > (a > option_a) > option_a > option_a) > $o). 1.13/1.37 thf(decl_54, type, bNF_re5708320262762544989tion_a: (option_a > option_a > $o) > (((a > option_a) > option_a) > ((a > option_a) > option_a) > $o) > (option_a > (a > option_a) > option_a) > (option_a > (a > option_a) > option_a) > $o). 1.13/1.37 thf(decl_55, type, bNF_re8312531103195455325on_a_o: (option_a > option_a > $o) > (($o > option_a > $o) > ($o > option_a > $o) > $o) > (option_a > $o > option_a > $o) > (option_a > $o > option_a > $o) > $o). 1.13/1.37 thf(decl_56, type, bNF_re3043890739735069381on_a_o: (option_a > option_a > $o) > ((option_option_a > $o) > (option_option_a > $o) > $o) > (option_a > option_option_a > $o) > (option_a > option_option_a > $o) > $o). 1.13/1.37 thf(decl_57, type, bNF_re1541143192665202257on_a_o: (option_a > option_a > $o) > ((option_a > $o) > (option_a > $o) > $o) > (option_a > option_a > $o) > (option_a > option_a > $o) > $o). 1.13/1.37 thf(decl_58, type, bNF_re8162217253061806133tion_a: (option_a > option_a > $o) > ((a > option_a) > (a > option_a) > $o) > (option_a > a > option_a) > (option_a > a > option_a) > $o). 1.13/1.37 thf(decl_59, type, bNF_re905040088260304477_a_o_o: (option_a > option_a > $o) > ($o > $o > $o) > (option_a > $o) > (option_a > $o) > $o). 1.13/1.37 thf(decl_60, type, bNF_re1129020316103814665tion_a: (option_a > option_a > $o) > ($o > option_a > $o) > (option_a > $o) > (option_a > option_a) > $o). 1.13/1.37 thf(decl_61, type, bNF_re8815814597387604803_a_o_a: (option_a > option_a > $o) > ($o > a > $o) > (option_a > $o) > (option_a > a) > $o). 1.13/1.37 thf(decl_62, type, bNF_re1595600300046643805tion_a: (option_a > option_a > $o) > (option_option_a > option_option_a > $o) > (option_a > option_option_a) > (option_a > option_option_a) > $o). 1.13/1.37 thf(decl_63, type, bNF_re2070578767941953969on_a_o: (option_a > option_a > $o) > (option_a > $o > $o) > (option_a > option_a) > (option_a > $o) > $o). 1.13/1.37 thf(decl_64, type, bNF_re8713957294334624093tion_a: (option_a > option_a > $o) > (option_a > option_a > $o) > (option_a > option_a) > (option_a > option_a) > $o). 1.13/1.37 thf(decl_65, type, bNF_re4157831115608716439on_a_a: (option_a > option_a > $o) > (option_a > a > $o) > (option_a > option_a) > (option_a > a) > $o). 1.13/1.37 thf(decl_66, type, bNF_re8895294753853352567_a_a_o: (option_a > option_a > $o) > (a > $o > $o) > (option_a > a) > (option_a > $o) > $o). 1.13/1.37 thf(decl_67, type, bNF_re1935317234069921315tion_a: (option_a > option_a > $o) > (a > option_a > $o) > (option_a > a) > (option_a > option_a) > $o). 1.13/1.37 thf(decl_68, type, bNF_re6951206947496014429_a_a_a: (option_a > option_a > $o) > (a > a > $o) > (option_a > a) > (option_a > a) > $o). 1.13/1.37 thf(decl_69, type, bNF_re5218620495166150379on_a_a: (option_a > a > $o) > (((a > option_a) > option_a > option_a) > ((a > a) > option_a > a) > $o) > (option_a > (a > option_a) > option_a > option_a) > (a > (a > a) > option_a > a) > $o). 1.13/1.37 thf(decl_70, type, bNF_re8717284581917077363on_a_o: (a > $o > $o) > (((a > a) > option_a > a) > ((a > $o) > option_a > $o) > $o) > (a > (a > a) > option_a > a) > ($o > (a > $o) > option_a > $o) > $o). 1.13/1.37 thf(decl_71, type, bNF_re1882382041600142455tion_a: (a > option_a > $o) > (((a > a) > option_a > a) > ((a > option_a) > option_a > option_a) > $o) > (a > (a > a) > option_a > a) > (option_a > (a > option_a) > option_a > option_a) > $o). 1.13/1.37 thf(decl_72, type, bNF_re6523360481052543525on_a_a: (a > a > $o) > (((a > a) > option_a > a) > ((a > a) > option_a > a) > $o) > (a > (a > a) > option_a > a) > (a > (a > a) > option_a > a) > $o). 1.13/1.37 thf(decl_73, type, bNF_re845666378725559389tion_a: (a > a > $o) > ((option_a > a > option_a) > (option_a > a > option_a) > $o) > (a > option_a > a > option_a) > (a > option_a > a > option_a) > $o). 1.13/1.37 thf(decl_74, type, bNF_re6100770640034910033on_a_o: (a > a > $o) > ((option_a > $o) > (option_a > $o) > $o) > (a > option_a > $o) > (a > option_a > $o) > $o). 1.13/1.37 thf(decl_75, type, bNF_re6468246989568818141_o_a_o: (a > a > $o) > ((a > $o) > (a > $o) > $o) > (a > a > $o) > (a > a > $o) > $o). 1.13/1.37 thf(decl_76, type, bNF_rel_fun_a_a_o_o: (a > a > $o) > ($o > $o > $o) > (a > $o) > (a > $o) > $o). 1.13/1.37 thf(decl_77, type, bNF_re905553932590079753tion_a: (a > a > $o) > ($o > option_a > $o) > (a > $o) > (a > option_a) > $o). 1.13/1.37 thf(decl_78, type, bNF_rel_fun_a_a_o_a: (a > a > $o) > ($o > a > $o) > (a > $o) > (a > a) > $o). 1.13/1.37 thf(decl_79, type, bNF_re1847112384428219057on_a_o: (a > a > $o) > (option_a > $o > $o) > (a > option_a) > (a > $o) > $o). 1.13/1.37 thf(decl_80, type, bNF_re1187871780581372509tion_a: (a > a > $o) > (option_a > option_a > $o) > (a > option_a) > (a > option_a) > $o). 1.13/1.37 thf(decl_81, type, bNF_re5794519239126689175on_a_a: (a > a > $o) > (option_a > a > $o) > (a > option_a) > (a > a) > $o). 1.13/1.37 thf(decl_82, type, bNF_rel_fun_a_a_a_o: (a > a > $o) > (a > $o > $o) > (a > a) > (a > $o) > $o). 1.13/1.37 thf(decl_83, type, bNF_re3572005357587894051tion_a: (a > a > $o) > (a > option_a > $o) > (a > a) > (a > option_a) > $o). 1.13/1.37 thf(decl_84, type, bNF_rel_fun_a_a_a_a: (a > a > $o) > (a > a > $o) > (a > a) > (a > a) > $o). 1.13/1.37 thf(decl_85, type, comple4629436989800923665tion_a: set_set_option_a > set_option_a). 1.13/1.37 thf(decl_86, type, comple2307003609928055243_set_a: set_set_a > set_a). 1.13/1.37 thf(decl_87, type, finite3089212293327181890tion_a: set_op7164657265554968289tion_a > $o). 1.13/1.37 thf(decl_88, type, finite8942580144290239484tion_a: set_op7810783462584961947tion_a > $o). 1.13/1.37 thf(decl_89, type, finite595534299322690568tion_a: set_a_2282238091077557671tion_a > $o). 1.13/1.37 thf(decl_90, type, finite5998080203967203522tion_a: set_a_option_a > $o). 1.13/1.37 thf(decl_91, type, finite8114217219359860531tion_a: set_option_option_a > $o). 1.13/1.37 thf(decl_92, type, finite1674126218327898605tion_a: set_option_a > $o). 1.13/1.37 thf(decl_93, type, finite_finite_a: set_a > $o). 1.13/1.37 thf(decl_94, type, finite6501707464432451470tion_a: (a > option_a > option_a) > option_a > set_a > option_a). 1.13/1.37 thf(decl_95, type, bij_be5431266891817924854tion_a: (option_a > option_a) > set_option_a > set_option_a > $o). 1.13/1.37 thf(decl_96, type, bij_betw_option_a_a: (option_a > a) > set_option_a > set_a > $o). 1.13/1.37 thf(decl_97, type, bij_betw_a_option_a: (a > option_a) > set_a > set_option_a > $o). 1.13/1.37 thf(decl_98, type, bij_betw_a_a: (a > a) > set_a > set_a > $o). 1.13/1.37 thf(decl_99, type, comp_o1254687777855551975tion_a: (option_option_a > option_a) > (option_a > option_option_a) > option_a > option_a). 1.13/1.37 thf(decl_100, type, comp_o8583038678572498833tion_a: (option_a > nat) > (option_a > option_a) > option_a > nat). 1.13/1.37 thf(decl_101, type, comp_o3154387707078715297tion_a: (option_a > option_a) > (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_102, type, comp_o6087033147929006299on_a_a: (option_a > option_a) > (a > option_a) > a > option_a). 1.13/1.37 thf(decl_103, type, comp_o6143895765626710849et_a_a: (option_a > set_a) > (a > option_a) > a > set_a). 1.13/1.37 thf(decl_104, type, comp_o3864519266390211175tion_a: (option_a > a) > (option_a > option_a) > option_a > a). 1.13/1.37 thf(decl_105, type, comp_option_a_a_a: (option_a > a) > (a > option_a) > a > a). 1.13/1.37 thf(decl_106, type, comp_s1419921648917501825_set_a: (set_option_a > set_a) > (set_a > set_option_a) > set_a > set_a). 1.13/1.37 thf(decl_107, type, comp_a_o_a: (a > $o) > (a > a) > a > $o). 1.13/1.37 thf(decl_108, type, comp_a_nat_a: (a > nat) > (a > a) > a > nat). 1.13/1.37 thf(decl_109, type, comp_a6249931511552232923tion_a: (a > option_a) > (option_a > a) > option_a > option_a). 1.13/1.37 thf(decl_110, type, comp_a_option_a_a: (a > option_a) > (a > a) > a > option_a). 1.13/1.37 thf(decl_111, type, comp_a_a_option_a: (a > a) > (option_a > a) > option_a > a). 1.13/1.37 thf(decl_112, type, comp_a_a_a: (a > a) > (a > a) > a > a). 1.13/1.37 thf(decl_113, type, fcomp_a_option_a_a: (a > option_a) > (option_a > a) > a > a). 1.13/1.37 thf(decl_114, type, fun_upd_option_a_o: (option_a > $o) > option_a > $o > option_a > $o). 1.13/1.37 thf(decl_115, type, fun_up1079276522633388797tion_a: (option_a > option_a) > option_a > option_a > option_a > option_a). 1.13/1.37 thf(decl_116, type, fun_up3924216255703953885tion_a: (option_a > set_option_a) > option_a > set_option_a > option_a > set_option_a). 1.13/1.37 thf(decl_117, type, fun_up8072057261246106519_set_a: (option_a > set_a) > option_a > set_a > option_a > set_a). 1.13/1.37 thf(decl_118, type, fun_upd_option_a_a: (option_a > a) > option_a > a > option_a > a). 1.13/1.37 thf(decl_119, type, fun_upd_a_option_a: (a > option_a) > a > option_a > a > option_a). 1.13/1.37 thf(decl_120, type, fun_up2298615654684665507tion_a: (a > set_option_a) > a > set_option_a > a > set_option_a). 1.13/1.37 thf(decl_121, type, fun_upd_a_set_a: (a > set_a) > a > set_a > a > set_a). 1.13/1.37 thf(decl_122, type, fun_upd_a_a: (a > a) > a > a > a > a). 1.13/1.37 thf(decl_123, type, id_option_a: option_a > option_a). 1.13/1.37 thf(decl_124, type, id_set_a: set_a > set_a). 1.13/1.37 thf(decl_125, type, id_a: a > a). 1.13/1.37 thf(decl_126, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 1.13/1.37 thf(decl_127, type, inj_on2224753519991154999tion_a: (option_a > option_option_a) > set_option_a > $o). 1.13/1.37 thf(decl_128, type, inj_on8559383841115902449tion_a: (option_a > option_a) > set_option_a > $o). 1.13/1.37 thf(decl_129, type, inj_on7881382345526841553tion_a: (option_a > set_option_a) > set_option_a > $o). 1.13/1.37 thf(decl_130, type, inj_on_option_a_a: (option_a > a) > set_option_a > $o). 1.13/1.37 thf(decl_131, type, inj_on_a_option_a: (a > option_a) > set_a > $o). 1.13/1.37 thf(decl_132, type, inj_on_a_set_a: (a > set_a) > set_a > $o). 1.13/1.37 thf(decl_133, type, inj_on_a_a: (a > a) > set_a > $o). 1.13/1.37 thf(decl_134, type, monotone_on_nat_nat: set_nat > (nat > nat > $o) > (nat > nat > $o) > (nat > nat) > $o). 1.13/1.37 thf(decl_135, type, monoto303951901566009069_a_nat: set_option_a > (option_a > option_a > $o) > (nat > nat > $o) > (option_a > nat) > $o). 1.13/1.37 thf(decl_136, type, monoto4483592047695070497on_a_a: set_option_a > (option_a > option_a > $o) > (a > a > $o) > (option_a > a) > $o). 1.13/1.37 thf(decl_137, type, monotone_on_a_nat: set_a > (a > a > $o) > (nat > nat > $o) > (a > nat) > $o). 1.13/1.37 thf(decl_138, type, monoto2261078166156275373tion_a: set_a > (a > a > $o) > (option_a > option_a > $o) > (a > option_a) > $o). 1.13/1.37 thf(decl_139, type, monotone_on_a_a: set_a > (a > a > $o) > (a > a > $o) > (a > a) > $o). 1.13/1.37 thf(decl_140, type, the_in2538339130118444083tion_a: set_option_a > (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_141, type, the_in1757154643552616557on_a_a: set_option_a > (option_a > a) > a > option_a). 1.13/1.37 thf(decl_142, type, the_in8758012798868597241tion_a: set_a > (a > option_a) > option_a > a). 1.13/1.37 thf(decl_143, type, the_inv_into_a_a: set_a > (a > a) > a > a). 1.13/1.37 thf(decl_144, type, minus_1574173051537231627tion_a: set_option_a > set_option_a > set_option_a). 1.13/1.37 thf(decl_145, type, minus_minus_set_a: set_a > set_a > set_a). 1.13/1.37 thf(decl_146, type, uminus6205308855922866075tion_a: set_option_a > set_option_a). 1.13/1.37 thf(decl_147, type, uminus_uminus_set_a: set_a > set_a). 1.13/1.37 thf(decl_148, type, the_option_a: (option_a > $o) > option_a). 1.13/1.37 thf(decl_149, type, the_a: (a > $o) > a). 1.13/1.37 thf(decl_150, type, uniq_a: (a > $o) > $o). 1.13/1.37 thf(decl_151, type, undefined_a: a). 1.13/1.37 thf(decl_152, type, if_option_a: $o > option_a > option_a > option_a). 1.13/1.37 thf(decl_153, type, if_set_option_a: $o > set_option_a > set_option_a > set_option_a). 1.13/1.37 thf(decl_154, type, if_set_a: $o > set_a > set_a > set_a). 1.13/1.37 thf(decl_155, type, if_a: $o > a > a > a). 1.13/1.37 thf(decl_156, type, inf_in5160421943901843420on_a_o: (option_a > option_a > $o) > (option_a > option_a > $o) > option_a > option_a > $o). 1.13/1.37 thf(decl_157, type, inf_inf_a_a_o: (a > a > $o) > (a > a > $o) > a > a > $o). 1.13/1.37 thf(decl_158, type, inf_inf_set_option_a: set_option_a > set_option_a > set_option_a). 1.13/1.37 thf(decl_159, type, inf_inf_set_a: set_a > set_a > set_a). 1.13/1.37 thf(decl_160, type, sup_sup_set_option_a: set_option_a > set_option_a > set_option_a). 1.13/1.37 thf(decl_161, type, sup_sup_set_a: set_a > set_a > set_a). 1.13/1.37 thf(decl_162, type, lattic4111267149900974290tion_a: (option_a > option_a > option_a) > $o). 1.13/1.37 thf(decl_163, type, lattic5961991414251573132_set_a: (a > a > a) > $o). 1.13/1.37 thf(decl_164, type, lattic5543840709497872670tion_a: (option_a > option_a > option_a) > set_option_a > option_a). 1.13/1.37 thf(decl_165, type, lattic5116578512385870296ce_F_a: (a > a > a) > set_a > a). 1.13/1.37 thf(decl_166, type, append_a: list_a > list_a > list_a). 1.13/1.37 thf(decl_167, type, distinct_a: list_a > $o). 1.13/1.37 thf(decl_168, type, filter_a: (a > $o) > list_a > list_a). 1.13/1.37 thf(decl_169, type, find_option_a: (option_a > $o) > list_option_a > option_option_a). 1.13/1.37 thf(decl_170, type, find_a: (a > $o) > list_a > option_a). 1.13/1.37 thf(decl_171, type, cons_option_a: option_a > list_option_a > list_option_a). 1.13/1.37 thf(decl_172, type, cons_a: a > list_a > list_a). 1.13/1.37 thf(decl_173, type, nil_a: list_a). 1.13/1.37 thf(decl_174, type, map_option_a_a: (option_a > a) > list_option_a > list_a). 1.13/1.37 thf(decl_175, type, map_Pr4086016924558362686on_a_a: (product_prod_a_a > produc3083010940779526881on_a_a) > list_P1396940483166286381od_a_a > list_P6260409590414597735on_a_a). 1.13/1.37 thf(decl_176, type, map_a_7860052162900579309od_a_a: (a > product_prod_a_a) > list_a > list_P1396940483166286381od_a_a). 1.13/1.37 thf(decl_177, type, map_a_a: (a > a) > list_a > list_a). 1.13/1.37 thf(decl_178, type, set_option_a2: list_option_a > set_option_a). 1.13/1.37 thf(decl_179, type, set_Pr1233600038994746358on_a_a: list_P6260409590414597735on_a_a > set_Pr6308966090954093121on_a_a). 1.13/1.37 thf(decl_180, type, set_Product_prod_a_a2: list_P1396940483166286381od_a_a > set_Product_prod_a_a). 1.13/1.37 thf(decl_181, type, set_a2: list_a > set_a). 1.13/1.37 thf(decl_182, type, map_filter_a_a: (a > option_a) > list_a > list_a). 1.13/1.37 thf(decl_183, type, nth_a: list_a > nat > a). 1.13/1.37 thf(decl_184, type, take_option_a: nat > list_option_a > list_option_a). 1.13/1.37 thf(decl_185, type, take_a: nat > list_a > list_a). 1.13/1.37 thf(decl_186, type, those_a: list_option_a > option_list_a). 1.13/1.37 thf(decl_187, type, zip_option_a_a: list_option_a > list_a > list_P6260409590414597735on_a_a). 1.13/1.37 thf(decl_188, type, zip_a_a: list_a > list_a > list_P1396940483166286381od_a_a). 1.13/1.37 thf(decl_189, type, dom_op4724496951392727122tion_a: (option_a > option_option_a) > set_option_a). 1.13/1.37 thf(decl_190, type, dom_option_a_a: (option_a > option_a) > set_option_a). 1.13/1.37 thf(decl_191, type, dom_a_option_a: (a > option_option_a) > set_a). 1.13/1.37 thf(decl_192, type, dom_a_a: (a > option_a) > set_a). 1.13/1.37 thf(decl_193, type, map_add_option_a_a: (option_a > option_a) > (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_194, type, map_add_a_a: (a > option_a) > (a > option_a) > a > option_a). 1.13/1.37 thf(decl_195, type, map_of_option_a_a: list_P6260409590414597735on_a_a > option_a > option_a). 1.13/1.37 thf(decl_196, type, map_of_a_a: list_P1396940483166286381od_a_a > a > option_a). 1.13/1.37 thf(decl_197, type, map_upds_option_a_a: (option_a > option_a) > list_option_a > list_a > option_a > option_a). 1.13/1.37 thf(decl_198, type, map_upds_a_a: (a > option_a) > list_a > list_a > a > option_a). 1.13/1.37 thf(decl_199, type, ran_op6317565877353657455tion_a: (option_a > option_option_a) > set_option_a). 1.13/1.37 thf(decl_200, type, ran_option_a_a: (option_a > option_a) > set_a). 1.13/1.37 thf(decl_201, type, ran_a_option_a: (a > option_option_a) > set_option_a). 1.13/1.37 thf(decl_202, type, ran_a_a: (a > option_a) > set_a). 1.13/1.37 thf(decl_203, type, restri3984065703976872170on_a_a: (option_a > option_a) > set_option_a > option_a > option_a). 1.13/1.37 thf(decl_204, type, restrict_map_a_a: (a > option_a) > set_a > a > option_a). 1.13/1.37 thf(decl_205, type, size_s3078493964004954806tion_a: list_option_a > nat). 1.13/1.37 thf(decl_206, type, size_size_list_a: list_a > nat). 1.13/1.37 thf(decl_207, type, bind_a_a: option_a > (a > option_a) > option_a). 1.13/1.37 thf(decl_208, type, combine_options_a: (a > a > a) > option_a > option_a > option_a). 1.13/1.37 thf(decl_209, type, is_none_a: option_a > $o). 1.13/1.37 thf(decl_210, type, none_list_a: option_list_a). 1.13/1.37 thf(decl_211, type, none_option_a: option_option_a). 1.13/1.37 thf(decl_212, type, none_a: option_a). 1.13/1.37 thf(decl_213, type, some_option_a: option_a > option_option_a). 1.13/1.37 thf(decl_214, type, some_a: a > option_a). 1.13/1.37 thf(decl_215, type, case_o3426643154261757367tion_a: $o > (option_a > $o) > option_option_a > $o). 1.13/1.37 thf(decl_216, type, case_option_o_a: $o > (a > $o) > option_a > $o). 1.13/1.37 thf(decl_217, type, case_option_list_a_a: list_a > (a > list_a) > option_a > list_a). 1.13/1.37 thf(decl_218, type, case_o1175493056458921151st_a_a: option_list_a > (a > option_list_a) > option_a > option_list_a). 1.13/1.37 thf(decl_219, type, case_o3148979394504432965on_a_a: option_a > (a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_220, type, case_o926465512965637841tion_a: a > (option_a > a) > option_option_a > a). 1.13/1.37 thf(decl_221, type, case_option_a_a: a > (a > a) > option_a > a). 1.13/1.37 thf(decl_222, type, map_op1857795647477319691list_a: (list_a > list_a) > option_list_a > option_list_a). 1.13/1.37 thf(decl_223, type, map_op2529087131052605791on_a_o: (option_a > $o) > option_option_a > option_o). 1.13/1.37 thf(decl_224, type, map_op788413144570152203tion_a: (option_a > option_a) > option_option_a > option_option_a). 1.13/1.37 thf(decl_225, type, map_op4563205767754224965on_a_a: (option_a > a) > option_option_a > option_a). 1.13/1.37 thf(decl_226, type, map_op713297920823408162_a_a_a: (product_prod_a_a > a) > option5210160422955383789od_a_a > option_a). 1.13/1.37 thf(decl_227, type, map_op2340691886215429841tion_a: (a > option_a) > option_a > option_option_a). 1.13/1.37 thf(decl_228, type, map_option_a_a2: (a > a) > option_a > option_a). 1.13/1.37 thf(decl_229, type, pred_option_option_a: (option_a > $o) > option_option_a > $o). 1.13/1.37 thf(decl_230, type, pred_option_a: (a > $o) > option_a > $o). 1.13/1.37 thf(decl_231, type, rec_op1346285999958695467tion_a: $o > (option_a > $o) > option_option_a > $o). 1.13/1.37 thf(decl_232, type, rec_option_o_a: $o > (a > $o) > option_a > $o). 1.13/1.37 thf(decl_233, type, rec_op3997991240598549433on_a_a: option_a > (a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_234, type, rel_option_o_o: ($o > $o > $o) > option_o > option_o > $o). 1.13/1.37 thf(decl_235, type, rel_op4798662380513671176tion_a: (option_a > option_a > $o) > option_option_a > option_option_a > $o). 1.13/1.37 thf(decl_236, type, rel_op3736390606718109634on_a_a: (option_a > a > $o) > option_option_a > option_a > $o). 1.13/1.37 thf(decl_237, type, rel_op1513876725179314510tion_a: (a > option_a > $o) > option_a > option_option_a > $o). 1.13/1.37 thf(decl_238, type, rel_option_a_a: (a > a > $o) > option_a > option_a > $o). 1.13/1.37 thf(decl_239, type, set_option_option_a2: option_option_a > set_option_a). 1.13/1.37 thf(decl_240, type, set_op3367984300228426933od_a_a: option5210160422955383789od_a_a > set_Product_prod_a_a). 1.13/1.37 thf(decl_241, type, set_option_a3: option_a > set_a). 1.13/1.37 thf(decl_242, type, size_option_a: (a > nat) > option_a > nat). 1.13/1.37 thf(decl_243, type, the_option_a2: option_option_a > option_a). 1.13/1.37 thf(decl_244, type, the_a2: option_a > a). 1.13/1.37 thf(decl_245, type, these_option_a: set_option_option_a > set_option_a). 1.13/1.37 thf(decl_246, type, these_a: set_option_a > set_a). 1.13/1.37 thf(decl_247, type, bot_bo4163488203964334806tion_a: set_option_option_a). 1.13/1.37 thf(decl_248, type, bot_bot_set_option_a: set_option_a). 1.13/1.37 thf(decl_249, type, bot_bot_set_a: set_a). 1.13/1.37 thf(decl_250, type, ord_less_nat: nat > nat > $o). 1.13/1.37 thf(decl_251, type, ord_le5631237216984945872tion_a: set_option_a > set_option_a > $o). 1.13/1.37 thf(decl_252, type, ord_less_set_a: set_a > set_a > $o). 1.13/1.37 thf(decl_253, type, ord_le3058241657886854542on_a_o: (option_a > option_a > $o) > (option_a > option_a > $o) > $o). 1.13/1.37 thf(decl_254, type, ord_le8889544289526388249on_a_o: (option_a > $o) > (option_a > $o) > $o). 1.13/1.37 thf(decl_255, type, ord_less_eq_a_a_o: (a > a > $o) > (a > a > $o) > $o). 1.13/1.37 thf(decl_256, type, ord_less_eq_a_o: (a > $o) > (a > $o) > $o). 1.13/1.37 thf(decl_257, type, ord_less_eq_nat: nat > nat > $o). 1.13/1.37 thf(decl_258, type, ord_le1955136853071979460tion_a: set_option_a > set_option_a > $o). 1.13/1.37 thf(decl_259, type, ord_le746702958409616551od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 1.13/1.37 thf(decl_260, type, ord_less_eq_set_a: set_a > set_a > $o). 1.13/1.37 thf(decl_261, type, top_top_set_nat: set_nat). 1.13/1.37 thf(decl_262, type, top_to1659475022456381882tion_a: set_option_option_a). 1.13/1.37 thf(decl_263, type, top_top_set_option_a: set_option_a). 1.13/1.37 thf(decl_264, type, top_top_set_a: set_a). 1.13/1.37 thf(decl_265, type, produc9011544418120257559tion_a: option_a > option_a > produc3509355604313844263tion_a). 1.13/1.37 thf(decl_266, type, produc3446707977624461905on_a_a: option_a > a > produc3083010940779526881on_a_a). 1.13/1.37 thf(decl_267, type, product_Pair_a_a: a > a > product_prod_a_a). 1.13/1.37 thf(decl_268, type, produc7248784972643495020on_a_o: (option_a > option_a > $o) > produc3509355604313844263tion_a > $o). 1.13/1.37 thf(decl_269, type, produc6436628058953941356_a_a_o: (a > a > $o) > product_prod_a_a > $o). 1.13/1.37 thf(decl_270, type, produc1387243408678024373on_a_a: (a > a > produc3083010940779526881on_a_a) > product_prod_a_a > produc3083010940779526881on_a_a). 1.13/1.37 thf(decl_271, type, produc8941638570267940413on_a_a: produc3083010940779526881on_a_a > option_a). 1.13/1.37 thf(decl_272, type, product_fst_a_a: product_prod_a_a > a). 1.13/1.37 thf(decl_273, type, product_snd_a_a: product_prod_a_a > a). 1.13/1.37 thf(decl_274, type, conver6736784915673013132tion_a: (option5210160422955383789od_a_a > option_a > $o) > option_a > option5210160422955383789od_a_a > $o). 1.13/1.37 thf(decl_275, type, conver2091984906772465269tion_a: (option_a > option_a > $o) > option_a > option_a > $o). 1.13/1.37 thf(decl_276, type, conversep_a_a: (a > a > $o) > a > a > $o). 1.13/1.37 thf(decl_277, type, relcom7597457113570619114tion_a: (option_a > option5210160422955383789od_a_a > $o) > (option5210160422955383789od_a_a > option_a > $o) > option_a > option_a > $o). 1.13/1.37 thf(decl_278, type, relcom1089236864311994323tion_a: (option_a > option_a > $o) > (option_a > option_a > $o) > option_a > option_a > $o). 1.13/1.37 thf(decl_279, type, relcompp_a_a_a: (a > a > $o) > (a > a > $o) > a > a > $o). 1.13/1.37 thf(decl_280, type, collec2458836999851688832tion_a: ((option_a > option_option_a) > $o) > set_op7164657265554968289tion_a). 1.13/1.37 thf(decl_281, type, collec5803847638788715578tion_a: ((option_a > option_a) > $o) > set_op7810783462584961947tion_a). 1.13/1.37 thf(decl_282, type, collec6680173830675942470tion_a: ((a > option_option_a) > $o) > set_a_2282238091077557671tion_a). 1.13/1.37 thf(decl_283, type, collect_a_option_a: ((a > option_a) > $o) > set_a_option_a). 1.13/1.37 thf(decl_284, type, collec431113534271933400od_a_a: (option5210160422955383789od_a_a > $o) > set_op7160277562814721357od_a_a). 1.13/1.37 thf(decl_285, type, collect_option_a: (option_a > $o) > set_option_a). 1.13/1.37 thf(decl_286, type, collec3336397797384452498od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a). 1.13/1.37 thf(decl_287, type, collect_a: (a > $o) > set_a). 1.13/1.37 thf(decl_288, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 1.13/1.37 thf(decl_289, type, image_2132136900116418507tion_a: (option_a > option_option_a) > set_option_a > set_option_option_a). 1.13/1.37 thf(decl_290, type, image_7439109396645324421tion_a: (option_a > option_a) > set_option_a > set_option_a). 1.13/1.37 thf(decl_291, type, image_1157047679760422245tion_a: (option_a > set_option_a) > set_option_a > set_set_option_a). 1.13/1.37 thf(decl_292, type, image_option_a_set_a: (option_a > set_a) > set_option_a > set_set_a). 1.13/1.37 thf(decl_293, type, image_option_a_a: (option_a > a) > set_option_a > set_a). 1.13/1.37 thf(decl_294, type, image_3098826861768462248tion_a: (produc3083010940779526881on_a_a > option_a) > set_Pr6308966090954093121on_a_a > set_option_a). 1.13/1.37 thf(decl_295, type, image_3437945252899457948_a_a_a: (product_prod_a_a > a) > set_Product_prod_a_a > set_a). 1.13/1.37 thf(decl_296, type, image_a_option_a: (a > option_a) > set_a > set_option_a). 1.13/1.37 thf(decl_297, type, image_a_set_option_a: (a > set_option_a) > set_a > set_set_option_a). 1.13/1.37 thf(decl_298, type, image_a_set_a: (a > set_a) > set_a > set_set_a). 1.13/1.37 thf(decl_299, type, image_a_a: (a > a) > set_a > set_a). 1.13/1.37 thf(decl_300, type, insert605063979879581146tion_a: option_option_a > set_option_option_a > set_option_option_a). 1.13/1.37 thf(decl_301, type, insert_option_a: option_a > set_option_a > set_option_a). 1.13/1.37 thf(decl_302, type, insert_a: a > set_a > set_a). 1.13/1.37 thf(decl_303, type, vimage1562710927270423099tion_a: (option_a > option_a) > set_option_a > set_option_a). 1.13/1.37 thf(decl_304, type, vimage_option_a_a: (option_a > a) > set_a > set_option_a). 1.13/1.37 thf(decl_305, type, vimage_a_option_a: (a > option_a) > set_option_a > set_a). 1.13/1.37 thf(decl_306, type, vimage_a_a: (a > a) > set_a > set_a). 1.13/1.37 thf(decl_307, type, bi_uni6217441781253053455tion_a: (option_a > option_a > $o) > $o). 1.13/1.37 thf(decl_308, type, bi_unique_a_a: (a > a > $o) > $o). 1.13/1.37 thf(decl_309, type, logic_a_b: (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b > b) > (b > b) > b > (a > $o) > $o). 1.13/1.37 thf(decl_310, type, pre_compatible_a: (a > a > option_a) > a > a > $o). 1.13/1.37 thf(decl_311, type, pre_larger_a: (a > a > option_a) > a > a > $o). 1.13/1.37 thf(decl_312, type, member_nat: nat > set_nat > $o). 1.13/1.37 thf(decl_313, type, member5113800082084363315tion_a: option_option_a > set_option_option_a > $o). 1.13/1.37 thf(decl_314, type, member8183384484874023062od_a_a: option5210160422955383789od_a_a > set_op7160277562814721357od_a_a > $o). 1.13/1.37 thf(decl_315, type, member_option_a: option_a > set_option_a > $o). 1.13/1.37 thf(decl_316, type, member_a: a > set_a > $o). 1.13/1.37 thf(decl_317, type, a2: a). 1.13/1.37 thf(decl_318, type, a3: a). 1.13/1.37 thf(decl_319, type, b2: a). 1.13/1.37 thf(decl_320, type, b3: a). 1.13/1.37 thf(decl_321, type, mult: b > a > a). 1.13/1.37 thf(decl_322, type, one: b). 1.13/1.37 thf(decl_323, type, plus: a > a > option_a). 1.13/1.37 thf(decl_324, type, r: a). 1.13/1.37 thf(decl_325, type, ra: a). 1.13/1.37 thf(decl_326, type, rb: a). 1.13/1.37 thf(decl_327, type, sadd: b > b > b). 1.13/1.37 thf(decl_328, type, sinv: b > b). 1.13/1.37 thf(decl_329, type, smult: b > b > b). 1.13/1.37 thf(decl_330, type, valid: a > $o). 1.13/1.37 thf(decl_331, type, x: a). 1.13/1.37 thf(decl_332, type, x2: a). 1.13/1.37 thf(decl_333, type, epred1_7: (a > $o) > b > (a > a > option_a) > (b > a > a) > (b > b > b) > (b > b) > (b > b > b) > $o). 1.13/1.37 thf(decl_334, type, esk1_2: a > a > a). 1.13/1.37 thf(decl_335, type, esk2_3: (a > a > option_a) > a > a > a). 1.13/1.37 thf(decl_336, type, esk3_0: a). 1.13/1.37 thf(decl_337, type, esk4_0: a). 1.13/1.37 thf(decl_338, type, esk5_0: a). 1.13/1.37 thf(decl_339, type, esk6_2: (option_a > $o) > (option_a > $o) > option_a). 1.13/1.37 thf(decl_340, type, esk7_1: option_a > a). 1.13/1.37 thf(decl_341, type, esk8_1: option_a > a). 1.13/1.37 thf(decl_342, type, esk9_3: option_a > (option_a > option_a > $o) > option_a > a). 1.13/1.37 thf(decl_343, type, esk10_3: option_a > (option_a > option_a > $o) > option_a > a). 1.13/1.37 thf(decl_344, type, esk11_1: (option_a > $o) > option_a). 1.13/1.37 thf(decl_345, type, esk12_1: (option_a > $o) > a). 1.13/1.37 thf(decl_346, type, esk13_1: (option_a > $o) > a). 1.13/1.37 thf(decl_347, type, esk14_1: (option_a > $o) > option_a). 1.13/1.37 thf(decl_348, type, esk15_1: option_a > a). 1.13/1.37 thf(decl_349, type, esk16_3: (option_a > $o) > option_a > (a > option_a) > a). 1.13/1.37 thf(decl_350, type, esk17_3: (option_a > $o) > option_a > (a > option_a) > a). 1.13/1.37 thf(decl_351, type, esk18_3: option_a > (a > option_a) > a > a). 1.13/1.37 thf(decl_352, type, esk19_4: option_a > option_a > (a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_353, type, esk20_1: (a > a > a) > a). 1.13/1.37 thf(decl_354, type, esk21_1: (a > a > a) > a). 1.13/1.37 thf(decl_355, type, esk22_1: (a > a > a) > a). 1.13/1.37 thf(decl_356, type, esk23_1: (a > a > a) > a). 1.13/1.37 thf(decl_357, type, esk24_1: (a > a > a) > a). 1.13/1.37 thf(decl_358, type, esk25_1: (a > a > a) > a). 1.13/1.37 thf(decl_359, type, esk26_1: (a > a > a) > a). 1.13/1.37 thf(decl_360, type, esk27_1: (a > a > a) > a). 1.13/1.37 thf(decl_361, type, esk28_1: (a > a > a) > a). 1.13/1.37 thf(decl_362, type, esk29_1: (a > a > a) > a). 1.13/1.37 thf(decl_363, type, esk30_2: a > (a > option_a) > a). 1.13/1.37 thf(decl_364, type, esk31_2: option_a > (option_a > option_a) > a). 1.13/1.37 thf(decl_365, type, esk32_2: option_a > (a > $o) > a). 1.13/1.37 thf(decl_366, type, esk33_4: option_a > option_a > (a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_367, type, esk34_1: (a > option_a) > a). 1.13/1.37 thf(decl_368, type, esk35_1: (option_a > option_a) > option_a). 1.13/1.37 thf(decl_369, type, esk36_2: (a > a) > a > a). 1.13/1.37 thf(decl_370, type, esk37_3: (a > a) > a > a > a). 1.13/1.37 thf(decl_371, type, esk38_2: (a > option_a) > option_a > a). 1.13/1.37 thf(decl_372, type, esk39_3: (a > option_a) > option_a > a > a). 1.13/1.37 thf(decl_373, type, esk40_2: (option_a > a) > a > option_a). 1.13/1.37 thf(decl_374, type, esk41_3: (option_a > a) > a > option_a > option_a). 1.13/1.37 thf(decl_375, type, esk42_2: (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_376, type, esk43_3: (option_a > option_a) > option_a > option_a > option_a). 1.13/1.37 thf(decl_377, type, esk44_1: (a > option_a) > a). 1.13/1.37 thf(decl_378, type, esk45_1: (a > option_a) > a). 1.13/1.37 thf(decl_379, type, esk46_1: (a > option_a) > a). 1.13/1.37 thf(decl_380, type, esk47_1: (a > option_a) > a). 1.13/1.37 thf(decl_381, type, esk48_2: set_a > (a > option_a) > a). 1.13/1.37 thf(decl_382, type, esk49_2: set_a > (a > option_a) > a). 1.13/1.37 thf(decl_383, type, esk50_2: (a > option_a) > set_a > a). 1.13/1.37 thf(decl_384, type, esk51_2: (a > option_a) > set_a > a). 1.13/1.37 thf(decl_385, type, esk52_3: set_a > (a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_386, type, esk53_3: set_a > (option_a > a) > (a > option_a) > a). 1.13/1.37 thf(decl_387, type, esk54_3: set_a > (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_388, type, esk55_3: set_a > (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_389, type, esk56_2: (a > a) > a > a). 1.13/1.37 thf(decl_390, type, esk57_2: (a > option_a) > option_a > a). 1.13/1.37 thf(decl_391, type, esk58_2: (option_a > a) > a > option_a). 1.13/1.37 thf(decl_392, type, esk59_2: (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_393, type, esk60_2: (a > a) > a > a). 1.13/1.37 thf(decl_394, type, esk61_2: (a > option_a) > option_a > a). 1.13/1.37 thf(decl_395, type, esk62_2: (option_a > a) > a > option_a). 1.13/1.37 thf(decl_396, type, esk63_2: (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_397, type, esk64_2: (a > a) > (a > a) > a). 1.13/1.37 thf(decl_398, type, esk65_2: (a > option_a) > (option_a > a) > option_a). 1.13/1.37 thf(decl_399, type, esk66_2: (option_a > a) > (a > option_a) > a). 1.13/1.37 thf(decl_400, type, esk67_2: (option_a > option_a) > (option_a > option_a) > option_a). 1.13/1.37 thf(decl_401, type, esk68_2: (a > a) > a > a). 1.13/1.37 thf(decl_402, type, esk69_1: (a > a) > a). 1.13/1.37 thf(decl_403, type, esk70_2: (a > option_a) > option_a > a). 1.13/1.37 thf(decl_404, type, esk71_1: (a > option_a) > option_a). 1.13/1.37 thf(decl_405, type, esk72_2: (option_a > a) > a > option_a). 1.13/1.37 thf(decl_406, type, esk73_1: (option_a > a) > a). 1.13/1.37 thf(decl_407, type, esk74_2: (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_408, type, esk75_1: (option_a > option_a) > option_a). 1.13/1.37 thf(decl_409, type, esk76_4: (a > a) > set_a > a > set_a > a). 1.13/1.37 thf(decl_410, type, esk77_4: (a > a) > set_a > a > set_a > set_a). 1.13/1.37 thf(decl_411, type, esk78_4: (option_a > a) > set_option_a > a > set_a > option_a). 1.13/1.37 thf(decl_412, type, esk79_4: (option_a > a) > set_option_a > a > set_a > set_option_a). 1.13/1.37 thf(decl_413, type, esk80_4: (a > option_a) > set_a > option_a > set_option_a > a). 1.13/1.37 thf(decl_414, type, esk81_4: (a > option_a) > set_a > option_a > set_option_a > set_a). 1.13/1.37 thf(decl_415, type, esk82_4: (option_a > option_a) > set_option_a > option_a > set_option_a > option_a). 1.13/1.37 thf(decl_416, type, esk83_4: (option_a > option_a) > set_option_a > option_a > set_option_a > set_option_a). 1.13/1.37 thf(decl_417, type, esk84_1: (a > option_a) > a). 1.13/1.37 thf(decl_418, type, esk85_1: (option_a > option_a) > option_a). 1.13/1.37 thf(decl_419, type, esk86_3: (a > a) > set_a > set_a > a > a). 1.13/1.37 thf(decl_420, type, esk87_4: (a > a) > set_a > set_a > (a > a) > a). 1.13/1.37 thf(decl_421, type, esk88_4: (a > a) > set_a > set_a > (a > a) > a). 1.13/1.37 thf(decl_422, type, esk89_3: (option_a > a) > set_option_a > set_a > a > option_a). 1.13/1.37 thf(decl_423, type, esk90_4: (option_a > a) > set_option_a > set_a > (a > option_a) > option_a). 1.13/1.37 thf(decl_424, type, esk91_4: (option_a > a) > set_option_a > set_a > (a > option_a) > a). 1.13/1.37 thf(decl_425, type, esk92_3: (a > option_a) > set_a > set_option_a > option_a > a). 1.13/1.37 thf(decl_426, type, esk93_4: (a > option_a) > set_a > set_option_a > (option_a > a) > a). 1.13/1.37 thf(decl_427, type, esk94_4: (a > option_a) > set_a > set_option_a > (option_a > a) > option_a). 1.13/1.37 thf(decl_428, type, esk95_3: (option_a > option_a) > set_option_a > set_option_a > option_a > option_a). 1.13/1.37 thf(decl_429, type, esk96_4: (option_a > option_a) > set_option_a > set_option_a > (option_a > option_a) > option_a). 1.13/1.37 thf(decl_430, type, esk97_4: (option_a > option_a) > set_option_a > set_option_a > (option_a > option_a) > option_a). 1.13/1.37 thf(decl_431, type, esk98_2: (a > a) > a > a). 1.13/1.37 thf(decl_432, type, esk99_1: (a > a) > a). 1.13/1.37 thf(decl_433, type, esk100_2: (a > a) > a > a). 1.13/1.37 thf(decl_434, type, esk101_2: (a > option_a) > option_a > a). 1.13/1.37 thf(decl_435, type, esk102_1: (a > option_a) > option_a). 1.13/1.37 thf(decl_436, type, esk103_2: (a > option_a) > a > a). 1.13/1.37 thf(decl_437, type, esk104_2: (option_a > a) > a > option_a). 1.13/1.37 thf(decl_438, type, esk105_1: (option_a > a) > a). 1.13/1.37 thf(decl_439, type, esk106_2: (option_a > a) > option_a > option_a). 1.13/1.37 thf(decl_440, type, esk107_2: (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_441, type, esk108_1: (option_a > option_a) > option_a). 1.13/1.37 thf(decl_442, type, esk109_2: (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_443, type, esk110_2: (a > a) > a > a). 1.13/1.37 thf(decl_444, type, esk111_2: (a > option_a) > option_a > a). 1.13/1.37 thf(decl_445, type, esk112_2: (option_a > a) > a > option_a). 1.13/1.37 thf(decl_446, type, esk113_2: (option_a > option_a) > option_a > option_a). 1.13/1.37 thf(decl_447, type, esk114_1: (a > a) > a). 1.13/1.37 thf(decl_448, type, esk115_1: (option_a > option_a) > option_a). 1.13/1.37 thf(decl_449, type, esk116_3: set_a > (option_a > a) > (a > option_a) > a). 1.13/1.37 thf(decl_450, type, esk117_4: set_a > (option_a > a) > (a > option_a) > set_option_a > option_a). 1.13/1.37 thf(decl_451, type, esk118_3: set_option_a > (a > option_a) > (option_a > a) > option_a). 1.13/1.37 thf(decl_452, type, esk119_4: set_option_a > (a > option_a) > (option_a > a) > set_a > a). 1.13/1.37 thf(decl_453, type, esk120_3: (a > a) > option_a > a > a). 1.13/1.37 thf(decl_454, type, esk121_4: option_a > option_a > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_455, type, esk122_4: option_a > option_a > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_456, type, esk123_3: option_a > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_457, type, esk124_4: option_a > option_a > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_458, type, esk125_4: option_a > option_a > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_459, type, esk126_2: option_option_a > (option_a > option_a) > option_a). 1.13/1.37 thf(decl_460, type, esk127_2: option_a > (a > a) > a). 1.13/1.37 thf(decl_461, type, esk128_2: option_option_a > (option_a > option_a) > option_a). 1.13/1.37 thf(decl_462, type, esk129_2: option_a > (a > a) > a). 1.13/1.37 thf(decl_463, type, esk130_1: (a > a) > a). 1.13/1.37 thf(decl_464, type, esk131_3: list_option_a > list_a > option_a > a). 1.13/1.37 thf(decl_465, type, esk132_3: list_a > list_a > a > a). 1.13/1.37 thf(decl_466, type, esk133_2: (option_a > $o) > list_option_a > option_a). 1.13/1.37 thf(decl_467, type, esk134_2: (a > $o) > list_a > a). 1.13/1.37 thf(decl_468, type, esk135_2: (option_a > $o) > list_option_a > option_a). 1.13/1.37 thf(decl_469, type, esk136_2: (a > $o) > list_a > a). 1.13/1.37 thf(decl_470, type, esk137_3: (a > $o) > list_a > a > nat). 1.13/1.37 thf(decl_471, type, esk138_4: (a > $o) > list_a > a > nat > nat). 1.13/1.37 thf(decl_472, type, esk139_3: a > (a > $o) > list_a > nat). 1.13/1.37 thf(decl_473, type, esk140_4: a > (a > $o) > list_a > nat > nat). 1.13/1.37 thf(decl_474, type, esk141_2: (a > option_a) > a > a). 1.13/1.37 thf(decl_475, type, esk142_2: (option_a > option_a) > option_a > a). 1.13/1.37 thf(decl_476, type, esk143_3: $o > (a > $o) > option_a > a). 1.13/1.37 thf(decl_477, type, esk144_2: (option_a > option_a) > ((option_a > option_a) > $o) > option_a). 1.13/1.37 thf(decl_478, type, esk145_2: (option_a > option_a) > ((option_a > option_a) > $o) > a). 1.13/1.37 thf(decl_479, type, esk146_2: (option_a > option_a) > ((option_a > option_a) > $o) > option_a > option_a). 1.13/1.37 thf(decl_480, type, esk147_2: (a > option_a) > ((a > option_a) > $o) > a). 1.13/1.37 thf(decl_481, type, esk148_2: (a > option_a) > ((a > option_a) > $o) > a). 1.13/1.37 thf(decl_482, type, esk149_2: (a > option_a) > ((a > option_a) > $o) > a > option_a). 1.13/1.37 thf(decl_483, type, esk150_6: $o > (a > $o) > option_a > (option_a > $o) > option_a > (a > option_a) > a). 1.13/1.37 thf(decl_484, type, esk151_6: $o > (a > $o) > option_a > ($o > $o) > $o > (a > $o) > a). 1.13/1.37 thf(decl_485, type, esk152_6: $o > (a > $o) > option_a > (a > $o) > a > (a > a) > a). 1.13/1.37 thf(decl_486, type, esk153_3: (a > a > $o) > option_a > option_a > option5210160422955383789od_a_a). 1.13/1.37 thf(decl_487, type, esk154_3: (a > a > $o) > a > option_a > a). 1.13/1.37 thf(decl_488, type, esk155_3: (a > a > $o) > option_a > a > a). 1.13/1.37 thf(decl_489, type, esk156_1: (a > a > $o) > a). 1.13/1.37 thf(decl_490, type, esk157_2: option_option_a > (option_a > option_a > $o) > option_a). 1.13/1.37 thf(decl_491, type, esk158_2: option_a > (a > a > $o) > a). 1.13/1.37 thf(decl_492, type, esk159_2: option_option_a > (option_a > option_a > $o) > option_a). 1.13/1.37 thf(decl_493, type, esk160_2: option_a > (a > a > $o) > a). 1.13/1.37 thf(decl_494, type, esk161_4: (option_a > option_a > $o) > option_option_a > option_option_a > (option_a > option_a > $o) > option_a). 1.13/1.37 thf(decl_495, type, esk162_4: (option_a > option_a > $o) > option_option_a > option_option_a > (option_a > option_a > $o) > option_a). 1.13/1.37 thf(decl_496, type, esk163_4: (option_a > a > $o) > option_option_a > option_a > (option_a > a > $o) > option_a). 1.13/1.37 thf(decl_497, type, esk164_4: (option_a > a > $o) > option_option_a > option_a > (option_a > a > $o) > a). 1.13/1.37 thf(decl_498, type, esk165_4: (a > option_a > $o) > option_a > option_option_a > (a > option_a > $o) > a). 1.13/1.37 thf(decl_499, type, esk166_4: (a > option_a > $o) > option_a > option_option_a > (a > option_a > $o) > option_a). 1.13/1.37 thf(decl_500, type, esk167_4: (a > a > $o) > option_a > option_a > (a > a > $o) > a). 1.13/1.37 thf(decl_501, type, esk168_4: (a > a > $o) > option_a > option_a > (a > a > $o) > a). 1.13/1.37 thf(decl_502, type, esk169_6: option_option_a > option_option_a > option_option_a > option_option_a > (option_a > option_a > $o) > (option_a > option_a > $o) > option_a). 1.13/1.37 thf(decl_503, type, esk170_6: option_option_a > option_option_a > option_option_a > option_option_a > (option_a > option_a > $o) > (option_a > option_a > $o) > option_a). 1.13/1.37 thf(decl_504, type, esk171_6: option_option_a > option_option_a > option_a > option_a > (option_a > a > $o) > (option_a > a > $o) > option_a). 1.13/1.37 thf(decl_505, type, esk172_6: option_option_a > option_option_a > option_a > option_a > (option_a > a > $o) > (option_a > a > $o) > a). 1.13/1.37 thf(decl_506, type, esk173_6: option_a > option_a > option_option_a > option_option_a > (a > option_a > $o) > (a > option_a > $o) > a). 1.13/1.37 thf(decl_507, type, esk174_6: option_a > option_a > option_option_a > option_option_a > (a > option_a > $o) > (a > option_a > $o) > option_a). 1.13/1.37 thf(decl_508, type, esk175_6: option_a > option_a > option_a > option_a > (a > a > $o) > (a > a > $o) > a). 1.13/1.37 thf(decl_509, type, esk176_6: option_a > option_a > option_a > option_a > (a > a > $o) > (a > a > $o) > a). 1.13/1.37 thf(decl_510, type, esk177_3: (a > a > $o) > option_a > option_a > a). 1.13/1.37 thf(decl_511, type, esk178_3: (a > a > $o) > option_a > option_a > a). 1.13/1.37 thf(decl_512, type, esk179_4: (a > a > $o) > option_a > option_a > (option_a > option_a > $o) > a). 1.13/1.37 thf(decl_513, type, esk180_4: (a > a > $o) > option_a > option_a > (option_a > option_a > $o) > a). 1.13/1.37 thf(decl_514, type, esk181_3: set_a > (a > a > $o) > (a > nat) > a). 1.13/1.37 thf(decl_515, type, esk182_3: set_a > (a > a > $o) > (a > nat) > a). 1.13/1.37 thf(decl_516, type, esk183_3: set_option_a > (option_a > option_a > $o) > (option_a > nat) > option_a). 1.13/1.37 thf(decl_517, type, esk184_3: set_option_a > (option_a > option_a > $o) > (option_a > nat) > option_a). 1.13/1.37 thf(decl_518, type, esk185_3: set_a > (a > a > $o) > (a > nat) > a). 1.13/1.37 thf(decl_519, type, esk186_3: set_a > (a > a > $o) > (a > nat) > a). 1.13/1.37 thf(decl_520, type, esk187_3: set_option_a > (option_a > option_a > $o) > (option_a > nat) > option_a). 1.13/1.37 thf(decl_521, type, esk188_3: set_option_a > (option_a > option_a > $o) > (option_a > nat) > option_a). 1.13/1.37 thf(decl_522, type, esk189_2: set_nat > (nat > nat) > nat). 1.13/1.37 thf(decl_523, type, esk190_2: set_nat > (nat > nat) > nat). 1.13/1.37 thf(decl_524, type, esk191_1: (nat > nat) > nat). 1.13/1.37 thf(decl_525, type, esk192_1: (nat > nat) > nat). 1.13/1.37 thf(decl_526, type, esk193_2: (nat > nat) > (nat > nat) > nat). 1.13/1.37 thf(decl_527, type, esk194_2: (a > option_a) > set_a > a). 1.13/1.37 thf(decl_528, type, esk195_4: option_option_a > option_option_a > (option_a > $o) > (option_a > $o) > option_a). 1.13/1.37 thf(decl_529, type, esk196_4: option_a > option_a > (a > $o) > (a > $o) > a). 1.13/1.37 thf(decl_530, type, esk197_3: (option_a > $o) > option_option_a > (option_a > $o) > option_a). 1.13/1.37 thf(decl_531, type, esk198_3: (a > $o) > option_a > (a > $o) > a). 1.13/1.37 thf(decl_532, type, esk199_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_533, type, esk200_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_534, type, esk201_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_535, type, esk202_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_536, type, esk203_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_537, type, esk204_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_538, type, esk205_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_539, type, esk206_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_540, type, esk207_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_541, type, esk208_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_542, type, esk209_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_543, type, esk210_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_544, type, esk211_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_545, type, esk212_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_546, type, esk213_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_547, type, esk214_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_548, type, esk215_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_549, type, esk216_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_550, type, esk217_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_551, type, esk218_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_552, type, esk219_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_553, type, esk220_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_554, type, esk221_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_555, type, esk222_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_556, type, esk223_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_557, type, esk224_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_558, type, esk225_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_559, type, esk226_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_560, type, esk227_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_561, type, esk228_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_562, type, esk229_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_563, type, esk230_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > b). 1.13/1.37 thf(decl_564, type, esk231_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_565, type, esk232_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_566, type, esk233_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_567, type, esk234_7: (a > a > option_a) > (b > b > b) > (b > b > b) > (b > a > a) > (b > b) > b > (a > $o) > a). 1.13/1.37 thf(decl_568, type, epred2_1: set_a > a > $o). 1.13/1.37 thf(decl_569, type, epred3_1: set_option_a > option_a > $o). 1.13/1.37 thf(decl_570, type, esk235_1: (a > a) > a > product_prod_a_a). 1.13/1.37 thf(decl_571, type, esk236_0: a > option_a). 1.13/1.37 thf(decl_572, type, esk237_0: option_a > option_a). 1.13/1.37 thf(decl_573, type, esk238_2: (a > option_a) > (a > option_a) > a > option_a). 1.13/1.37 thf(decl_574, type, esk239_1: (a > a) > a > option_a). 1.13/1.37 thf(decl_575, type, esk240_1: (option_a > a) > option_a > option_a). 1.13/1.37 thf(decl_576, type, esk241_0: a > a). 1.13/1.37 thf(decl_577, type, esk242_2: option_a > (a > a > a) > a > option_a). 1.13/1.37 thf(decl_578, type, epred4_0: a > $o). 1.13/1.37 thf(decl_579, type, epred5_0: a > $o). 1.13/1.37 thf(decl_580, type, esk243_2: (a > option_a) > (option_a > option_a) > a > option_a). 1.13/1.37 thf(decl_581, type, epred6_2: (a > option_a) > (option_a > $o) > a > $o). 1.13/1.37 thf(decl_582, type, esk244_2: (a > option_a) > (option_a > a) > a > a). 1.13/1.37 thf(decl_583, type, esk245_2: (a > $o) > ($o > option_a) > a > option_a). 1.13/1.37 thf(decl_584, type, epred7_2: (a > $o) > ($o > $o) > a > $o). 1.13/1.37 thf(decl_585, type, esk246_2: (a > $o) > ($o > a) > a > a). 1.13/1.37 thf(decl_586, type, esk247_2: (a > a) > (a > option_a) > a > option_a). 1.13/1.37 thf(decl_587, type, epred8_2: (a > a) > (a > $o) > a > $o). 1.13/1.37 thf(decl_588, type, esk248_2: (a > a) > (a > a) > a > a). 1.13/1.37 thf(decl_589, type, epred9_1: (option_a > option_a) > option_a > $o). 1.13/1.37 thf(decl_590, type, esk249_0: a > set_a). 1.13/1.37 thf(decl_591, type, esk250_0: option_a > set_option_a). 1.13/1.37 thf(decl_592, type, epred10_1: set_option_a > option_a > $o). 1.13/1.37 thf(decl_593, type, esk251_3: (a > a) > (a > a) > set_a > a > a). 1.13/1.37 thf(decl_594, type, esk252_3: (a > option_a) > (a > option_a) > set_a > a > option_a). 1.13/1.37 thf(decl_595, type, esk253_3: (option_a > a) > (option_a > a) > set_option_a > option_a > a). 1.13/1.37 thf(decl_596, type, esk254_3: (option_a > option_a) > (option_a > option_a) > set_option_a > option_a > option_a). 1.13/1.37 thf(decl_597, type, epred11_2: set_option_a > set_option_a > (option_a > option_option_a) > $o). 1.13/1.37 thf(decl_598, type, epred12_2: set_a > set_option_a > (option_a > option_a) > $o). 1.13/1.37 thf(decl_599, type, epred13_2: set_option_a > set_a > (a > option_option_a) > $o). 1.13/1.37 thf(decl_600, type, epred14_2: set_a > set_a > (a > option_a) > $o). 1.13/1.37 thf(decl_601, type, esk255_1: (a > option_a) > a > product_prod_a_a). 1.13/1.37 thf(decl_602, type, epred15_3: a > set_a > (a > a) > a > $o). 1.13/1.37 thf(decl_603, type, epred16_3: a > set_option_a > (option_a > a) > option_a > $o). 1.13/1.37 thf(decl_604, type, epred17_3: option_a > set_a > (a > option_a) > a > $o). 1.13/1.37 thf(decl_605, type, epred18_3: option_a > set_option_a > (option_a > option_a) > option_a > $o). 1.13/1.37 thf(decl_606, type, epred19_2: a > (a > a) > a > $o). 1.13/1.37 thf(decl_607, type, epred20_2: option_a > (a > option_a) > a > $o). 1.13/1.37 thf(decl_608, type, epred21_2: a > (option_a > a) > option_a > $o). 1.13/1.37 thf(decl_609, type, epred22_2: option_a > (option_a > option_a) > option_a > $o). 1.13/1.37 thf(decl_610, type, esk256_1: (a > option_a) > a > a > produc3083010940779526881on_a_a). 1.13/1.37 thf(decl_611, type, esk257_1: list_option_a > a > option_list_a). 1.13/1.37 thf(decl_612, type, epred23_1: (a > a > $o) > option5210160422955383789od_a_a > $o). 1.13/1.37 thf(decl_613, type, epred24_1: (a > a > $o) > option_a > a > $o). 1.13/1.37 thf(decl_614, type, epred25_1: (a > a > $o) > option_a > option_a > $o). 1.13/1.37 thf(decl_615, type, epred26_2: (a > a) > (a > a > $o) > a > a > $o). 1.13/1.37 thf(decl_616, type, epred27_2: (a > a) > (a > a > $o) > a > a > $o). 1.13/1.37 thf(decl_617, type, esk258_2: list_a > (a > option_a) > a > list_a). 1.13/1.37 thf(decl_618, type, epred28_1: (a > option_a) > a > $o). 1.13/1.37 thf(decl_619, type, epred29_1: set_a > option_a > $o). 1.13/1.37 thf(decl_620, type, epred30_2: (a > option_a) > set_a > a > $o). 1.13/1.37 thf(decl_621, type, epred31_3: (a > option_a) > set_a > a > a > $o). 1.13/1.37 thf(decl_622, type, esk259_1: (a > a > a) > a > option_a > option_a). 1.13/1.37 thf(decl_623, type, epred32_0: option_a > $o). 1.13/1.37 thf(decl_624, type, epred33_0: option_a > $o). 1.13/1.37 thf(decl_625, type, epred34_2: (a > a) > (a > a) > a > $o). 1.13/1.37 thf(decl_626, type, esk260_1: (option_a > a) > option_a). 1.13/1.37 thf(decl_627, type, esk261_1: (a > a) > a). 1.13/1.37 thf(decl_628, type, esk262_0: a). 1.13/1.37 thf(decl_629, type, esk263_1: list_P6260409590414597735on_a_a > option_a). 1.13/1.37 thf(decl_630, type, esk264_1: list_P1396940483166286381od_a_a > a). 1.13/1.37 thf(decl_631, type, esk265_2: (option_a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_632, type, esk266_2: (option_a > option_a) > set_option_a > option_a). 1.13/1.37 thf(decl_633, type, esk267_1: (a > a) > a). 1.13/1.37 thf(decl_634, type, esk268_1: (a > a) > a). 1.13/1.37 thf(decl_635, type, esk269_2: (a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_636, type, esk270_2: (option_a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_637, type, esk271_1: (option_a > option_a) > a). 1.13/1.37 thf(decl_638, type, esk272_1: (a > a > $o) > a). 1.13/1.37 thf(decl_639, type, esk273_1: (a > a > $o) > a). 1.13/1.37 thf(decl_640, type, esk274_2: set_option_a > set_option_a > option_a). 1.13/1.37 thf(decl_641, type, esk275_2: (a > option_a) > (option_a > a) > a). 1.13/1.37 thf(decl_642, type, esk276_2: (option_a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_643, type, esk277_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_644, type, esk278_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_645, type, esk279_1: (a > option_a) > a). 1.13/1.37 thf(decl_646, type, esk280_1: (a > option_a) > a). 1.13/1.37 thf(decl_647, type, esk281_1: (a > option_a) > a). 1.13/1.37 thf(decl_648, type, esk282_1: (a > option_a) > a). 1.13/1.37 thf(decl_649, type, esk283_3: (a > option_a) > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_650, type, esk284_1: (a > option_a) > a). 1.13/1.37 thf(decl_651, type, esk285_1: (a > option_a) > a). 1.13/1.37 thf(decl_652, type, esk286_1: (a > option_a) > a). 1.13/1.37 thf(decl_653, type, esk287_1: (a > option_a) > a). 1.13/1.37 thf(decl_654, type, esk288_1: (a > option_a) > a). 1.13/1.37 thf(decl_655, type, esk289_3: (option_a > option_a) > (a > a) > (a > option_a) > a). 1.13/1.37 thf(decl_656, type, esk290_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_657, type, esk291_1: (a > option_a) > a). 1.13/1.37 thf(decl_658, type, esk292_2: (option_a > option_a) > (a > option_a) > a). 1.13/1.37 thf(decl_659, type, esk293_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_660, type, esk294_2: (a > option_a) > b > a). 1.13/1.37 thf(decl_661, type, esk295_2: (a > option_a) > a > a). 1.13/1.37 thf(decl_662, type, esk296_3: (a > option_a) > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_663, type, esk297_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_664, type, esk298_1: (a > option_a) > a). 1.13/1.37 thf(decl_665, type, esk299_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_666, type, esk300_1: list_P1396940483166286381od_a_a > a). 1.13/1.37 thf(decl_667, type, esk301_1: list_P1396940483166286381od_a_a > a). 1.13/1.37 thf(decl_668, type, esk302_1: (a > a > $o) > a). 1.13/1.37 thf(decl_669, type, esk303_1: (a > a > $o) > a). 1.13/1.37 thf(decl_670, type, esk304_2: (a > a > $o) > a > a). 1.13/1.37 thf(decl_671, type, esk305_1: list_P1396940483166286381od_a_a > a). 1.13/1.37 thf(decl_672, type, esk306_2: (a > option_a) > b > a). 1.13/1.37 thf(decl_673, type, esk307_2: (a > option_a) > b > a). 1.13/1.37 thf(decl_674, type, esk308_3: (a > option_a) > (a > option_a) > (option_a > a) > a). 1.13/1.37 thf(decl_675, type, esk309_1: (a > option_a) > a). 1.13/1.37 thf(decl_676, type, esk310_1: (a > option_a) > a). 1.13/1.37 thf(decl_677, type, esk311_2: set_option_a > (option_a > option_a) > option_a). 1.13/1.37 thf(decl_678, type, esk312_2: set_option_a > set_option_a > option_a). 1.13/1.37 thf(decl_679, type, esk313_1: (a > option_a) > a). 1.13/1.37 thf(decl_680, type, esk314_1: (a > option_a) > a). 1.13/1.37 thf(decl_681, type, esk315_2: (a > option_a) > (option_a > a) > a). 1.13/1.37 thf(decl_682, type, esk316_1: (a > option_a) > a). 1.13/1.37 thf(decl_683, type, esk317_3: (a > option_a) > (a > option_a) > (option_a > a) > a). 1.13/1.37 thf(decl_684, type, esk318_1: (a > option_a) > a). 1.13/1.37 thf(decl_685, type, esk319_1: (a > option_a) > a). 1.13/1.37 thf(decl_686, type, esk320_1: (a > option_a) > a). 1.13/1.37 thf(decl_687, type, esk321_2: (a > option_a) > (option_a > a) > a). 1.13/1.37 thf(decl_688, type, esk322_1: (a > option_a) > a). 1.13/1.37 thf(decl_689, type, esk323_3: (a > option_a) > (a > a) > (a > a) > a). 1.13/1.37 thf(decl_690, type, esk324_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_691, type, esk325_1: (a > option_a) > a). 1.13/1.37 thf(decl_692, type, esk326_2: (a > option_a) > (a > a) > a). 1.13/1.37 thf(decl_693, type, esk327_2: (a > option_a) > b > a). 1.13/1.37 thf(decl_694, type, esk328_2: (a > option_a) > b > a). 1.13/1.37 thf(decl_695, type, esk329_3: (a > option_a) > (a > a) > b > a). 1.13/1.37 thf(decl_696, type, esk330_0: a). 1.13/1.37 thf(decl_697, type, esk331_2: (a > option_a) > b > a). 1.13/1.37 thf(decl_698, type, esk332_1: b > a). 1.13/1.37 thf(decl_699, type, esk333_1: (option_a > option_a) > a). 1.13/1.37 thf(decl_700, type, esk334_0: a). 1.13/1.37 thf(decl_701, type, esk335_0: a). 1.13/1.37 thf(decl_702, type, esk336_0: a). 1.13/1.37 thf(decl_703, type, esk337_0: a). 1.13/1.37 thf(decl_704, type, esk338_0: a). 1.13/1.37 thf(decl_705, type, esk339_0: a). 1.13/1.37 thf(decl_706, type, esk340_1: (a > a > a) > a). 1.13/1.37 thf(decl_707, type, esk341_1: option_a > a). 1.13/1.37 thf(decl_708, type, esk342_2: (a > option_a) > b > a). 1.13/1.37 thf(decl_709, type, esk343_0: a). 1.13/1.37 thf(fact_12_pre__logic_Olarger__def, axiom, ((pre_larger_a)=(^[X14:a > a > option_a, X15:a, X16:a]:(?[X3:a]:(((some_a @ X15)=(X14 @ X16 @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.9FRtoctowQ/Vampire---4.8_10756', fact_12_pre__logic_Olarger__def)). 1.13/1.37 thf(conj_0, conjecture, (pre_larger_a @ plus @ x2 @ x), file('/export/starexec/sandbox2/tmp/tmp.9FRtoctowQ/Vampire---4.8_10756', conj_0)). 1.13/1.37 thf(fact_4__092_060open_062Some_Ax_H_A_061_Ax_A_092_060oplus_062_Ar_092_060close_062, axiom, ((some_a @ x2)=(plus @ x @ r)), file('/export/starexec/sandbox2/tmp/tmp.9FRtoctowQ/Vampire---4.8_10756', fact_4__092_060open_062Some_Ax_H_A_061_Ax_A_092_060oplus_062_Ar_092_060close_062)). 1.13/1.37 thf(c_0_3, plain, ![X3347:a > a > option_a, X3348:a, X3349:a]:(((pre_larger_a @ X3347 @ X3348 @ X3349)<=>?[X3:a]:(((some_a @ X3348)=(X3347 @ X3349 @ X3))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_12_pre__logic_Olarger__def])])). 1.13/1.37 thf(c_0_4, plain, ![X3469:a > a > option_a, X3470:a, X3471:a, X3473:a > a > option_a, X3474:a, X3475:a, X3476:a]:(((~(pre_larger_a @ X3469 @ X3470 @ X3471)|((some_a @ X3470)=(X3469 @ X3471 @ (esk2_3 @ X3469 @ X3470 @ X3471))))&(((some_a @ X3474)!=(X3473 @ X3475 @ X3476))|(pre_larger_a @ X3473 @ X3474 @ X3475)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])). 1.13/1.37 thf(c_0_5, negated_conjecture, ~(pre_larger_a @ plus @ x2 @ x), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 1.13/1.37 thf(c_0_6, plain, ![X1:a, X2:a, X14:a > a > option_a, X3:a]:(((pre_larger_a @ X14 @ X1 @ X2)|((some_a @ X1)!=(X14 @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_4])). 1.13/1.37 thf(c_0_7, plain, ((some_a @ x2)=(plus @ x @ r)), inference(split_conjunct,[status(thm)],[fact_4__092_060open_062Some_Ax_H_A_061_Ax_A_092_060oplus_062_Ar_092_060close_062])). 1.13/1.37 thf(c_0_8, negated_conjecture, ~((pre_larger_a @ plus @ x2 @ x)), inference(split_conjunct,[status(thm)],[c_0_5])). 1.13/1.37 thf(c_0_9, plain, ![X1:a]:(((pre_larger_a @ plus @ X1 @ x)|((some_a @ X1)!=(some_a @ x2)))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 1.13/1.37 thf(c_0_10, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_8, c_0_9]), ['proof']). 1.13/1.37 # SZS output end CNFRefutation 1.13/1.37 # Parsed axioms : 1068 1.13/1.37 # Removed by relevancy pruning/SinE : 0 1.13/1.37 # Initial clauses : 1843 1.13/1.37 # Removed in clause preprocessing : 437 1.13/1.37 # Initial clauses in saturation : 1406 1.13/1.37 # Processed clauses : 3175 1.13/1.37 # ...of these trivial : 89 1.13/1.37 # ...subsumed : 652 1.13/1.37 # ...remaining for further processing : 2434 1.13/1.37 # Other redundant clauses eliminated : 401 1.13/1.37 # Clauses deleted for lack of memory : 0 1.13/1.37 # Backward-subsumed : 13 1.13/1.37 # Backward-rewritten : 39 1.13/1.37 # Generated clauses : 5816 1.13/1.37 # ...of the previous two non-redundant : 4936 1.13/1.37 # ...aggressively subsumed : 0 1.13/1.37 # Contextual simplify-reflections : 7 1.13/1.37 # Paramodulations : 5206 1.13/1.37 # Factorizations : 0 1.13/1.37 # NegExts : 84 1.13/1.37 # Equation resolutions : 406 1.13/1.37 # Propositional unsat checks : 0 1.13/1.37 # Propositional check models : 0 1.13/1.37 # Propositional check unsatisfiable : 0 1.13/1.37 # Propositional clauses : 0 1.13/1.37 # Propositional clauses after purity: 0 1.13/1.37 # Propositional unsat core size : 0 1.13/1.37 # Propositional preprocessing time : 0.000 1.13/1.37 # Propositional encoding time : 0.000 1.13/1.37 # Propositional solver time : 0.000 1.13/1.37 # Success case prop preproc time : 0.000 1.13/1.37 # Success case prop encoding time : 0.000 1.13/1.37 # Success case prop solver time : 0.000 1.13/1.37 # Current number of processed clauses : 984 1.13/1.37 # Positive orientable unit clauses : 356 1.13/1.37 # Positive unorientable unit clauses: 4 1.13/1.37 # Negative unit clauses : 34 1.13/1.37 # Non-unit-clauses : 590 1.13/1.37 # Current number of unprocessed clauses: 4373 1.13/1.37 # ...number of literals in the above : 11297 1.13/1.37 # Current number of archived formulas : 0 1.13/1.37 # Current number of archived clauses : 1280 1.13/1.37 # Clause-clause subsumption calls (NU) : 778511 1.13/1.37 # Rec. Clause-clause subsumption calls : 157940 1.13/1.37 # Non-unit clause-clause subsumptions : 467 1.13/1.37 # Unit Clause-clause subsumption calls : 34523 1.13/1.37 # Rewrite failures with RHS unbound : 0 1.13/1.37 # BW rewrite match attempts : 203 1.13/1.37 # BW rewrite match successes : 65 1.13/1.37 # Condensation attempts : 0 1.13/1.37 # Condensation successes : 0 1.13/1.37 # Termbank termtop insertions : 264173 1.13/1.37 1.13/1.37 # ------------------------------------------------- 1.13/1.37 # User time : 0.700 s 1.13/1.37 # System time : 0.026 s 1.13/1.37 # Total time : 0.727 s 1.13/1.37 # Maximum resident set size: 11008 pages 1.13/1.37 1.13/1.37 # ------------------------------------------------- 1.13/1.37 # User time : 0.736 s 1.13/1.37 # System time : 0.034 s 1.13/1.37 # Total time : 0.769 s 1.13/1.37 # Maximum resident set size: 3760 pages 1.13/1.37 EOF