0.09/0.26 % Problem : SLH0349^1 : TPTP v8.2.0. Released v8.2.0. 0.25/0.27 % Command : run_E %s %d THM 0.26/0.47 % Computer : n014.cluster.edu 0.26/0.47 % Model : x86_64 x86_64 0.26/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.26/0.47 % Memory : 8042.1875MB 0.26/0.47 % OS : Linux 3.10.0-693.el7.x86_64 0.26/0.47 % CPULimit : 30 0.26/0.47 % WCLimit : 30 0.26/0.47 % DateTime : Mon Jul 3 08:42:24 EDT 2023 0.26/0.47 % CPUTime : 0.31/0.57 The problem SPC is TH0_THM_EQU_NAR 0.31/0.57 Running higher-order on 1 cores theorem proving 0.31/0.57 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.CMCZf4iPii/Vampire---4.8_32150 0.31/0.57 # Version: 3.0pre003-ho 1.71/1.94 # Preprocessing class: HMLMSMSMSSLCHFA. 1.71/1.94 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.71/1.94 # Starting new_ho_10 with 30s (1) cores 1.71/1.94 # new_ho_10 with pid 32330 completed with status 0 1.71/1.94 # Result found by new_ho_10 1.71/1.94 # Preprocessing class: HMLMSMSMSSLCHFA. 1.71/1.94 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.71/1.94 # Starting new_ho_10 with 30s (1) cores 1.71/1.94 # No SInE strategy applied 1.71/1.94 # Search class: HGHSM-SMLM32-MHFFFSBC 1.71/1.94 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 1.71/1.94 # Starting ehoh_best8 with 17s (1) cores 1.71/1.94 # ehoh_best8 with pid 32331 completed with status 0 1.71/1.94 # Result found by ehoh_best8 1.71/1.94 # Preprocessing class: HMLMSMSMSSLCHFA. 1.71/1.94 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.71/1.94 # Starting new_ho_10 with 30s (1) cores 1.71/1.94 # No SInE strategy applied 1.71/1.94 # Search class: HGHSM-SMLM32-MHFFFSBC 1.71/1.94 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 1.71/1.94 # Starting ehoh_best8 with 17s (1) cores 1.71/1.94 # Preprocessing time : 0.064 s 1.71/1.94 # Presaturation interreduction done 1.71/1.94 1.71/1.94 # Proof found! 1.71/1.94 # SZS status Theorem 1.71/1.94 # SZS output start CNFRefutation 1.71/1.94 thf(decl_22, type, bNF_Gr6768572883014492202at_a_a: set_nat > (nat > a) > (nat > a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_23, type, bNF_Gr1149069696037075021_a_a_a: set_Product_prod_a_a > (product_prod_a_a > a) > (product_prod_a_a > a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_24, type, bNF_Gr5084790043256381924ge_a_a: set_Product_prod_a_a > (a > a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_25, type, bNF_Gr1525588180458676779_nat_a: set_nat > set_Product_prod_a_a > (nat > a) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_26, type, bNF_Gr5251999782455585624_a_a_a: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > a) > set_Pr8600417178894128327od_a_a). 1.71/1.94 thf(decl_27, type, bNF_Gr1680063798946433857ge_a_a: set_a > set_Product_prod_a_a > (a > a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_28, type, abs_abs_int: int > int). 1.71/1.94 thf(decl_29, type, minus_minus_int: int > int > int). 1.71/1.94 thf(decl_30, type, minus_minus_nat: nat > nat > nat). 1.71/1.94 thf(decl_31, type, one_one_int: int). 1.71/1.94 thf(decl_32, type, one_one_nat: nat). 1.71/1.94 thf(decl_33, type, plus_plus_int: int > int > int). 1.71/1.94 thf(decl_34, type, plus_plus_nat: nat > nat > nat). 1.71/1.94 thf(decl_35, type, times_times_int: int > int > int). 1.71/1.94 thf(decl_36, type, times_times_nat: nat > nat > nat). 1.71/1.94 thf(decl_37, type, uminus_uminus_int: int > int). 1.71/1.94 thf(decl_38, type, zero_zero_int: int). 1.71/1.94 thf(decl_39, type, zero_zero_nat: nat). 1.71/1.94 thf(decl_40, type, the_nat: (nat > $o) > nat). 1.71/1.94 thf(decl_41, type, uniq_nat: (nat > $o) > $o). 1.71/1.94 thf(decl_42, type, induct_false: $o). 1.71/1.94 thf(decl_43, type, if_int: $o > int > int > int). 1.71/1.94 thf(decl_44, type, if_nat: $o > nat > nat > nat). 1.71/1.94 thf(decl_45, type, nat2: int > nat). 1.71/1.94 thf(decl_46, type, ring_1_of_int_int: int > int). 1.71/1.94 thf(decl_47, type, enumerate_nat: nat > list_nat > list_P6011104703257516679at_nat). 1.71/1.94 thf(decl_48, type, enumerate_a: nat > list_a > list_P2851791750731487283_nat_a). 1.71/1.94 thf(decl_49, type, filter_nat: (nat > $o) > list_nat > list_nat). 1.71/1.94 thf(decl_50, type, filter7581757530173611428od_a_a: (product_prod_a_a > $o) > list_P1396940483166286381od_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_51, type, filter_a: (a > $o) > list_a > list_a). 1.71/1.94 thf(decl_52, type, last_nat: list_nat > nat). 1.71/1.94 thf(decl_53, type, lenlex_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat). 1.71/1.94 thf(decl_54, type, lenlex_a: set_Product_prod_a_a > set_Pr4048851178543822343list_a). 1.71/1.94 thf(decl_55, type, cons_a_nat: (a > nat) > list_a_nat > list_a_nat). 1.71/1.94 thf(decl_56, type, cons_nat: nat > list_nat > list_nat). 1.71/1.94 thf(decl_57, type, cons_P7316939126706565853od_a_a: product_prod_a_a > list_P1396940483166286381od_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_58, type, cons_a: a > list_a > list_a). 1.71/1.94 thf(decl_59, type, map_nat_nat: (nat > nat) > list_nat > list_nat). 1.71/1.94 thf(decl_60, type, map_na7298421622053143531at_nat: (nat > product_prod_nat_nat) > list_nat > list_P6011104703257516679at_nat). 1.71/1.94 thf(decl_61, type, map_na7918145567968794425_nat_a: (nat > product_prod_nat_a) > list_nat > list_P2851791750731487283_nat_a). 1.71/1.94 thf(decl_62, type, map_nat_a: (nat > a) > list_nat > list_a). 1.71/1.94 thf(decl_63, type, map_Pr7904243085458786820od_a_a: (product_prod_a_a > product_prod_a_a) > list_P1396940483166286381od_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_64, type, map_a_nat: (a > nat) > list_a > list_nat). 1.71/1.94 thf(decl_65, type, map_a_7860052162900579309od_a_a: (a > product_prod_a_a) > list_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_66, type, map_a_a: (a > a) > list_a > list_a). 1.71/1.94 thf(decl_67, type, set_nat2: list_nat > set_nat). 1.71/1.94 thf(decl_68, type, set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_69, type, set_Pr2434819052702649463od_a_a: list_P4433302358374638172od_a_a > set_Pr5009853057886717698od_a_a). 1.71/1.94 thf(decl_70, type, set_Pr4163146838226711502_nat_a: list_P2851791750731487283_nat_a > set_Pr4193341848836149977_nat_a). 1.71/1.94 thf(decl_71, type, set_Pr6407419057626374865_a_nat: list_P7710831472041159606_a_nat > set_Pr8287382171553239132_a_nat). 1.71/1.94 thf(decl_72, type, set_Pr6493056779096584572od_a_a: list_P6569952146052023789od_a_a > set_Pr8600417178894128327od_a_a). 1.71/1.94 thf(decl_73, type, set_Pr6767713769399854547_a_a_a: list_P5148873849941636292_a_a_a > set_Pr8876520727511657886_a_a_a). 1.71/1.94 thf(decl_74, type, set_Pr924983374503034536_a_nat: list_P3592885314253461005_a_nat > set_Pr4934435412358123699_a_nat). 1.71/1.94 thf(decl_75, type, set_Pr7008919305446870117od_a_a: list_P1802437025701573206od_a_a > set_Pr5530083903271594800od_a_a). 1.71/1.94 thf(decl_76, type, set_Product_prod_a_a2: list_P1396940483166286381od_a_a > set_Product_prod_a_a). 1.71/1.94 thf(decl_77, type, set_a2: list_a > set_a). 1.71/1.94 thf(decl_78, type, size_list_nat: (nat > nat) > list_nat > nat). 1.71/1.94 thf(decl_79, type, size_l7449873252747911983od_a_a: (product_prod_a_a > nat) > list_P1396940483166286381od_a_a > nat). 1.71/1.94 thf(decl_80, type, list_update_nat: list_nat > nat > nat > list_nat). 1.71/1.94 thf(decl_81, type, list_u4967751623001292181od_a_a: list_P1396940483166286381od_a_a > nat > product_prod_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_82, type, list_update_a: list_a > nat > a > list_a). 1.71/1.94 thf(decl_83, type, listrel1_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat). 1.71/1.94 thf(decl_84, type, listrel1_a: set_Product_prod_a_a > set_Pr4048851178543822343list_a). 1.71/1.94 thf(decl_85, type, listrel_nat_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat). 1.71/1.94 thf(decl_86, type, listrel_nat_a: set_Pr4193341848836149977_nat_a > set_Pr7423161166939974351list_a). 1.71/1.94 thf(decl_87, type, listrel_a_nat: set_Pr4934435412358123699_a_nat > set_Pr5046312416420021961st_nat). 1.71/1.94 thf(decl_88, type, listrel_a_a: set_Product_prod_a_a > set_Pr4048851178543822343list_a). 1.71/1.94 thf(decl_89, type, listrelp_a_a: (a > a > $o) > list_a > list_a > $o). 1.71/1.94 thf(decl_90, type, measures_a: list_a_nat > set_Product_prod_a_a). 1.71/1.94 thf(decl_91, type, nth_nat: list_nat > nat > nat). 1.71/1.94 thf(decl_92, type, nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat). 1.71/1.94 thf(decl_93, type, nth_Pr2476257081389315164_nat_a: list_P2851791750731487283_nat_a > nat > product_prod_nat_a). 1.71/1.94 thf(decl_94, type, nth_Pr8461465654520414006_a_nat: list_P3592885314253461005_a_nat > nat > product_prod_a_nat). 1.71/1.94 thf(decl_95, type, nth_Product_prod_a_a: list_P1396940483166286381od_a_a > nat > product_prod_a_a). 1.71/1.94 thf(decl_96, type, nth_a: list_a > nat > a). 1.71/1.94 thf(decl_97, type, nths_nat: list_nat > set_nat > list_nat). 1.71/1.94 thf(decl_98, type, nths_P962260135640608299od_a_a: list_P1396940483166286381od_a_a > set_nat > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_99, type, nths_a: list_a > set_nat > list_a). 1.71/1.94 thf(decl_100, type, replicate_nat: nat > nat > list_nat). 1.71/1.94 thf(decl_101, type, replic8880659463222285543od_a_a: nat > product_prod_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_102, type, replicate_a: nat > a > list_a). 1.71/1.94 thf(decl_103, type, set_Cons_nat: set_nat > set_list_nat > set_list_nat). 1.71/1.94 thf(decl_104, type, set_Co1270446422447248349od_a_a: set_Product_prod_a_a > set_li8827807065578854541od_a_a > set_li8827807065578854541od_a_a). 1.71/1.94 thf(decl_105, type, upt: nat > nat > list_nat). 1.71/1.94 thf(decl_106, type, zip_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat). 1.71/1.94 thf(decl_107, type, zip_na4928441614332330206od_a_a: list_nat > list_P1396940483166286381od_a_a > list_P4433302358374638172od_a_a). 1.71/1.94 thf(decl_108, type, zip_nat_a: list_nat > list_a > list_P2851791750731487283_nat_a). 1.71/1.94 thf(decl_109, type, zip_Pr4385798588157923968_a_nat: list_P1396940483166286381od_a_a > list_nat > list_P7710831472041159606_a_nat). 1.71/1.94 thf(decl_110, type, zip_Pr1329156589218441847od_a_a: list_P1396940483166286381od_a_a > list_P1396940483166286381od_a_a > list_P6569952146052023789od_a_a). 1.71/1.94 thf(decl_111, type, zip_Pr9109025954503487566_a_a_a: list_P1396940483166286381od_a_a > list_a > list_P5148873849941636292_a_a_a). 1.71/1.94 thf(decl_112, type, zip_a_nat: list_a > list_nat > list_P3592885314253461005_a_nat). 1.71/1.94 thf(decl_113, type, zip_a_3848334447339249504od_a_a: list_a > list_P1396940483166286381od_a_a > list_P1802437025701573206od_a_a). 1.71/1.94 thf(decl_114, type, zip_a_a: list_a > list_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_115, type, list_l792762466888043652on_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > $o). 1.71/1.94 thf(decl_116, type, list_l5019108106899435338sion_a: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > $o). 1.71/1.94 thf(decl_117, type, linord7041653327473358983at_int: (nat > int) > int > list_nat > produc5438398690206989622st_nat). 1.71/1.94 thf(decl_118, type, linord7044143797982409259at_nat: (nat > nat) > nat > list_nat > produc5438398690206989622st_nat). 1.71/1.94 thf(decl_119, type, multis6646701651571498855xOneIJ: nat > nat > multis3193088007478089820ropVar). 1.71/1.94 thf(decl_120, type, multis6646701651571564453xOneJI: nat > nat > multis3193088007478089820ropVar). 1.71/1.94 thf(decl_121, type, multis2983220944385456105ZeroIJ: nat > nat > multis3193088007478089820ropVar). 1.71/1.94 thf(decl_122, type, multis2983220944385521703ZeroJI: nat > nat > multis3193088007478089820ropVar). 1.71/1.94 thf(decl_123, type, multis2544335231667181926psilon: nat > multis3193088007478089820ropVar). 1.71/1.94 thf(decl_124, type, multis387687052011358179_Gamma: nat > nat > multis3193088007478089820ropVar). 1.71/1.94 thf(decl_125, type, multis2955979900537361535ropVar: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_126, type, suc: nat > nat). 1.71/1.94 thf(decl_127, type, rec_nat_nat: nat > (nat > nat > nat) > nat > nat). 1.71/1.94 thf(decl_128, type, rec_set_nat_nat: nat > (nat > nat > nat) > nat > nat > $o). 1.71/1.94 thf(decl_129, type, semiri1314217659103216013at_int: nat > int). 1.71/1.94 thf(decl_130, type, semiri1316708129612266289at_nat: nat > nat). 1.71/1.94 thf(decl_131, type, semiri8420488043553186161ux_int: (int > int) > nat > int > int). 1.71/1.94 thf(decl_132, type, semiri8422978514062236437ux_nat: (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_133, type, size_size_list_nat: list_nat > nat). 1.71/1.94 thf(decl_134, type, size_s3885678630836030617od_a_a: list_P1396940483166286381od_a_a > nat). 1.71/1.94 thf(decl_135, type, size_size_list_a: list_a > nat). 1.71/1.94 thf(decl_136, type, size_s6253272723116879048ropVar: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_137, type, the_unsafe_nat: (nat > $o) > nat). 1.71/1.94 thf(decl_138, type, order_2144575240049343698st_nat: set_Pr3451248702717554689st_nat > set_Pr3451248702717554689st_nat > $o). 1.71/1.94 thf(decl_139, type, order_131025672941931026list_a: set_Pr4048851178543822343list_a > set_Pr4048851178543822343list_a > $o). 1.71/1.94 thf(decl_140, type, order_7802623214671921858ir_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o). 1.71/1.94 thf(decl_141, type, order_6408410059812637836pair_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 1.71/1.94 thf(decl_142, type, max_int: (int > int > $o) > int > int > int). 1.71/1.94 thf(decl_143, type, max_nat: (nat > nat > $o) > nat > nat > nat). 1.71/1.94 thf(decl_144, type, ord_less_int: int > int > $o). 1.71/1.94 thf(decl_145, type, ord_less_nat: nat > nat > $o). 1.71/1.94 thf(decl_146, type, ord_less_eq_int: int > int > $o). 1.71/1.94 thf(decl_147, type, ord_less_eq_nat: nat > nat > $o). 1.71/1.94 thf(decl_148, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.71/1.94 thf(decl_149, type, ord_le746702958409616551od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 1.71/1.94 thf(decl_150, type, ord_min_int: int > int > int). 1.71/1.94 thf(decl_151, type, ord_min_nat: nat > nat > nat). 1.71/1.94 thf(decl_152, type, power_power_nat: nat > nat > nat). 1.71/1.94 thf(decl_153, type, produc2694037385005941721st_nat: list_nat > list_nat > produc1828647624359046049st_nat). 1.71/1.94 thf(decl_154, type, produc7723716010052024011list_a: list_nat > list_a > produc1513410750981052825list_a). 1.71/1.94 thf(decl_155, type, produc4487115339913071592st_nat: list_nat > produc1828647624359046049st_nat > produc5438398690206989622st_nat). 1.71/1.94 thf(decl_156, type, produc4792949784200893581st_nat: list_a > list_nat > produc432399132543013523st_nat). 1.71/1.94 thf(decl_157, type, produc6837034575241423639list_a: list_a > list_a > produc9164743771328383783list_a). 1.71/1.94 thf(decl_158, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 1.71/1.94 thf(decl_159, type, produc7026408565941641214od_a_a: nat > product_prod_a_a > produc2100646355360341836od_a_a). 1.71/1.94 thf(decl_160, type, product_Pair_nat_a: nat > a > product_prod_nat_a). 1.71/1.94 thf(decl_161, type, produc6483765539767234976_a_nat: product_prod_a_a > nat > produc6073246360284067238_a_nat). 1.71/1.94 thf(decl_162, type, produc7886510207707329367od_a_a: product_prod_a_a > product_prod_a_a > produc3498347346309940967od_a_a). 1.71/1.94 thf(decl_163, type, produc5692536848587512110_a_a_a: product_prod_a_a > a > produc3802892049952890430_a_a_a). 1.71/1.94 thf(decl_164, type, product_Pair_a_nat: a > nat > product_prod_a_nat). 1.71/1.94 thf(decl_165, type, produc431845341423274048od_a_a: a > product_prod_a_a > produc4044097585999906000od_a_a). 1.71/1.94 thf(decl_166, type, product_Pair_a_a: a > a > product_prod_a_a). 1.71/1.94 thf(decl_167, type, id_on_nat: set_nat > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_168, type, id_on_a: set_a > set_Product_prod_a_a). 1.71/1.94 thf(decl_169, type, collect_list_nat: (list_nat > $o) > set_list_nat). 1.71/1.94 thf(decl_170, type, collec2774578310585404696od_a_a: (list_P1396940483166286381od_a_a > $o) > set_li8827807065578854541od_a_a). 1.71/1.94 thf(decl_171, type, collect_nat: (nat > $o) > set_nat). 1.71/1.94 thf(decl_172, type, collec3392354462482085612at_nat: (product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_173, type, collec7702297998945444472_nat_a: (product_prod_nat_a > $o) > set_Pr4193341848836149977_nat_a). 1.71/1.94 thf(decl_174, type, collec10116633892588882od_a_a: (produc3498347346309940967od_a_a > $o) > set_Pr8600417178894128327od_a_a). 1.71/1.94 thf(decl_175, type, collec4464134535221767506_a_nat: (product_prod_a_nat > $o) > set_Pr4934435412358123699_a_nat). 1.71/1.94 thf(decl_176, type, collec3336397797384452498od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a). 1.71/1.94 thf(decl_177, type, collect_a: (a > $o) > set_a). 1.71/1.94 thf(decl_178, type, same_fst_a_a: (a > $o) > (a > set_Product_prod_a_a) > set_Pr8600417178894128327od_a_a). 1.71/1.94 thf(decl_179, type, member_list_nat: list_nat > set_list_nat > $o). 1.71/1.94 thf(decl_180, type, member6824001069763096534od_a_a: list_P1396940483166286381od_a_a > set_li8827807065578854541od_a_a > $o). 1.71/1.94 thf(decl_181, type, member_nat: nat > set_nat > $o). 1.71/1.94 thf(decl_182, type, member7340969449405702474st_nat: produc1828647624359046049st_nat > set_Pr3451248702717554689st_nat > $o). 1.71/1.94 thf(decl_183, type, member5932150393272073264list_a: produc1513410750981052825list_a > set_Pr7423161166939974351list_a > $o). 1.71/1.94 thf(decl_184, type, member4851138774834033962st_nat: produc432399132543013523st_nat > set_Pr5046312416420021961st_nat > $o). 1.71/1.94 thf(decl_185, type, member8191768239178080336list_a: produc9164743771328383783list_a > set_Pr4048851178543822343list_a > $o). 1.71/1.94 thf(decl_186, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o). 1.71/1.94 thf(decl_187, type, member6519385997651362275od_a_a: produc2100646355360341836od_a_a > set_Pr5009853057886717698od_a_a > $o). 1.71/1.94 thf(decl_188, type, member8962352052110095674_nat_a: product_prod_nat_a > set_Pr4193341848836149977_nat_a > $o). 1.71/1.94 thf(decl_189, type, member1268613965720311869_a_nat: produc6073246360284067238_a_nat > set_Pr8287382171553239132_a_nat > $o). 1.71/1.94 thf(decl_190, type, member6330455413206600464od_a_a: produc3498347346309940967od_a_a > set_Pr8600417178894128327od_a_a > $o). 1.71/1.94 thf(decl_191, type, member2829916517802586983_a_a_a: produc3802892049952890430_a_a_a > set_Pr8876520727511657886_a_a_a > $o). 1.71/1.94 thf(decl_192, type, member5724188588386418708_a_nat: product_prod_a_nat > set_Pr4934435412358123699_a_nat > $o). 1.71/1.94 thf(decl_193, type, member3071122053849602553od_a_a: produc4044097585999906000od_a_a > set_Pr5530083903271594800od_a_a > $o). 1.71/1.94 thf(decl_194, type, member1426531477525435216od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 1.71/1.94 thf(decl_195, type, member_a: a > set_a > $o). 1.71/1.94 thf(decl_196, type, ns: set_Product_prod_a_a). 1.71/1.94 thf(decl_197, type, s: set_Product_prod_a_a). 1.71/1.94 thf(decl_198, type, cns: nat > nat > $o). 1.71/1.94 thf(decl_199, type, cs: nat > nat > $o). 1.71/1.94 thf(decl_200, type, i: nat). 1.71/1.94 thf(decl_201, type, i_of_j: nat > nat). 1.71/1.94 thf(decl_202, type, j_of_i: nat > nat). 1.71/1.94 thf(decl_203, type, k: nat). 1.71/1.94 thf(decl_204, type, m: nat). 1.71/1.94 thf(decl_205, type, n: nat). 1.71/1.94 thf(decl_206, type, property: nat > $o). 1.71/1.94 thf(decl_207, type, s2: nat > a). 1.71/1.94 thf(decl_208, type, t: nat > a). 1.71/1.94 thf(decl_209, type, v: multis3193088007478089820ropVar > $o). 1.71/1.94 thf(decl_210, type, xs1: list_nat). 1.71/1.94 thf(decl_211, type, xs2: list_nat). 1.71/1.94 thf(decl_212, type, ys1: list_nat). 1.71/1.94 thf(decl_213, type, ys2: list_nat). 1.71/1.94 thf(decl_214, type, epred1_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > $o). 1.71/1.94 thf(decl_215, type, epred2_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > $o). 1.71/1.94 thf(decl_216, type, esk1_1: nat > nat). 1.71/1.94 thf(decl_217, type, esk2_1: nat > nat). 1.71/1.94 thf(decl_218, type, esk3_1: (nat > $o) > nat). 1.71/1.94 thf(decl_219, type, esk4_1: (nat > $o) > nat). 1.71/1.94 thf(decl_220, type, esk5_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_221, type, esk6_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_222, type, esk7_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_223, type, esk8_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_224, type, esk9_3: (nat > $o) > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_225, type, esk10_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_226, type, esk11_2: (nat > $o) > (nat > $o) > nat). 1.71/1.94 thf(decl_227, type, esk12_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_228, type, esk13_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_229, type, esk14_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_230, type, esk15_1: int > int). 1.71/1.94 thf(decl_231, type, esk16_1: nat > nat). 1.71/1.94 thf(decl_232, type, esk17_1: int > int). 1.71/1.94 thf(decl_233, type, esk18_1: (nat > $o) > nat). 1.71/1.94 thf(decl_234, type, esk19_1: (nat > $o) > nat). 1.71/1.94 thf(decl_235, type, esk20_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_236, type, esk21_1: (nat > $o) > nat). 1.71/1.94 thf(decl_237, type, esk22_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_238, type, esk23_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_239, type, esk24_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_240, type, esk25_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_241, type, esk26_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_242, type, esk27_1: (int > int > $o) > int). 1.71/1.94 thf(decl_243, type, esk28_1: (int > int > $o) > int). 1.71/1.94 thf(decl_244, type, esk29_1: (int > int > $o) > int). 1.71/1.94 thf(decl_245, type, esk30_1: (int > int > $o) > int). 1.71/1.94 thf(decl_246, type, esk31_1: (int > int > $o) > int). 1.71/1.94 thf(decl_247, type, esk32_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_248, type, esk33_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_249, type, esk34_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_250, type, esk35_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_251, type, esk36_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_252, type, esk37_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_253, type, esk38_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_254, type, esk39_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_255, type, esk40_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_256, type, esk41_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_257, type, esk42_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_258, type, esk43_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_259, type, esk44_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_260, type, esk45_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_261, type, esk46_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_262, type, esk47_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_263, type, esk48_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_264, type, esk49_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_265, type, esk50_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_266, type, esk51_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_267, type, esk52_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_268, type, esk53_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_269, type, esk54_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_270, type, esk55_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_271, type, esk56_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_272, type, esk57_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_273, type, esk58_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_274, type, esk59_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_275, type, esk60_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_276, type, esk61_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_277, type, esk62_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_278, type, esk63_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_279, type, esk64_1: nat > nat). 1.71/1.94 thf(decl_280, type, esk65_1: int > int). 1.71/1.94 thf(decl_281, type, esk66_1: nat > nat). 1.71/1.94 thf(decl_282, type, esk67_1: int > int). 1.71/1.94 thf(decl_283, type, esk68_1: nat > nat). 1.71/1.94 thf(decl_284, type, esk69_1: int > int). 1.71/1.94 thf(decl_285, type, esk70_1: nat > nat). 1.71/1.94 thf(decl_286, type, esk71_1: int > int). 1.71/1.94 thf(decl_287, type, esk72_3: (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_288, type, esk73_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_289, type, esk74_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 1.71/1.94 thf(decl_290, type, esk75_3: (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_291, type, esk76_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_292, type, esk77_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 1.71/1.94 thf(decl_293, type, esk78_3: (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_294, type, esk79_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_295, type, esk80_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 1.71/1.94 thf(decl_296, type, esk81_3: (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_297, type, esk82_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_298, type, esk83_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 1.71/1.94 thf(decl_299, type, esk84_1: nat > nat). 1.71/1.94 thf(decl_300, type, esk85_1: int > int). 1.71/1.94 thf(decl_301, type, esk86_1: nat > nat). 1.71/1.94 thf(decl_302, type, esk87_1: int > int). 1.71/1.94 thf(decl_303, type, esk88_1: nat > nat). 1.71/1.94 thf(decl_304, type, esk89_1: int > int). 1.71/1.94 thf(decl_305, type, esk90_3: (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_306, type, esk91_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_307, type, esk92_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 1.71/1.94 thf(decl_308, type, esk93_3: (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_309, type, esk94_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_310, type, esk95_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 1.71/1.94 thf(decl_311, type, esk96_3: (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_312, type, esk97_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_313, type, esk98_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat). 1.71/1.94 thf(decl_314, type, esk99_3: (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_315, type, esk100_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_316, type, esk101_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int). 1.71/1.94 thf(decl_317, type, esk102_1: nat > nat). 1.71/1.94 thf(decl_318, type, esk103_1: int > int). 1.71/1.94 thf(decl_319, type, esk104_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_320, type, esk105_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_321, type, esk106_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_322, type, esk107_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_323, type, esk108_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_324, type, esk109_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_325, type, esk110_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_326, type, esk111_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_327, type, esk112_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_328, type, esk113_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_329, type, esk114_1: multis3193088007478089820ropVar > nat). 1.71/1.94 thf(decl_330, type, esk115_1: (nat > nat) > nat). 1.71/1.94 thf(decl_331, type, esk116_1: (nat > int) > nat). 1.71/1.94 thf(decl_332, type, esk117_1: nat > nat). 1.71/1.94 thf(decl_333, type, esk118_1: (nat > $o) > nat). 1.71/1.94 thf(decl_334, type, esk119_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_335, type, esk120_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_336, type, esk121_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_337, type, esk122_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_338, type, esk123_1: (nat > $o) > nat). 1.71/1.94 thf(decl_339, type, esk124_1: nat > nat). 1.71/1.94 thf(decl_340, type, esk125_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_341, type, esk126_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_342, type, esk127_1: nat > nat). 1.71/1.94 thf(decl_343, type, esk128_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_344, type, esk129_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_345, type, esk130_1: nat > nat). 1.71/1.94 thf(decl_346, type, esk131_2: nat > nat > nat). 1.71/1.94 thf(decl_347, type, esk132_2: nat > nat > nat). 1.71/1.94 thf(decl_348, type, esk133_2: nat > nat > nat). 1.71/1.94 thf(decl_349, type, esk134_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_350, type, esk135_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_351, type, esk136_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_352, type, esk137_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_353, type, esk138_2: nat > nat > nat). 1.71/1.94 thf(decl_354, type, esk139_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_355, type, esk140_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_356, type, esk141_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_357, type, esk142_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_358, type, esk143_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_359, type, esk144_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_360, type, esk145_1: (nat > $o) > nat). 1.71/1.94 thf(decl_361, type, esk146_1: (nat > nat) > nat). 1.71/1.94 thf(decl_362, type, esk147_1: (nat > int) > nat). 1.71/1.94 thf(decl_363, type, esk148_2: list_nat > (nat > $o) > nat). 1.71/1.94 thf(decl_364, type, esk149_3: (nat > nat) > list_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_365, type, esk150_3: (nat > a) > list_nat > (nat > a) > nat). 1.71/1.94 thf(decl_366, type, esk151_1: int > nat). 1.71/1.94 thf(decl_367, type, esk152_1: int > nat). 1.71/1.94 thf(decl_368, type, esk153_1: (list_nat > $o) > list_nat). 1.71/1.94 thf(decl_369, type, esk154_1: (list_a > $o) > list_a). 1.71/1.94 thf(decl_370, type, esk155_3: list_a > (nat > a) > a > nat). 1.71/1.94 thf(decl_371, type, esk156_2: list_a > (nat > a) > a). 1.71/1.94 thf(decl_372, type, esk157_2: list_a > (nat > a) > list_nat). 1.71/1.94 thf(decl_373, type, esk158_3: list_nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_374, type, esk159_2: list_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_375, type, esk160_2: list_nat > (nat > nat) > list_nat). 1.71/1.94 thf(decl_376, type, esk161_4: list_nat > list_nat > (nat > nat) > (nat > nat) > nat). 1.71/1.94 thf(decl_377, type, esk162_4: list_nat > list_nat > (nat > a) > (nat > a) > nat). 1.71/1.94 thf(decl_378, type, esk163_2: list_P1396940483166286381od_a_a > (product_prod_a_a > product_prod_a_a) > product_prod_a_a). 1.71/1.94 thf(decl_379, type, esk164_2: list_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_380, type, esk165_3: list_nat > (nat > nat) > (nat > nat) > nat). 1.71/1.94 thf(decl_381, type, esk166_3: list_nat > (nat > a) > (nat > a) > nat). 1.71/1.94 thf(decl_382, type, esk167_2: list_P1396940483166286381od_a_a > (product_prod_a_a > product_prod_a_a) > product_prod_a_a). 1.71/1.94 thf(decl_383, type, esk168_2: list_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_384, type, esk169_4: list_nat > list_nat > (nat > nat) > (nat > nat) > nat). 1.71/1.94 thf(decl_385, type, esk170_4: list_nat > list_nat > (nat > nat) > (nat > nat) > nat). 1.71/1.94 thf(decl_386, type, esk171_4: list_nat > list_nat > (nat > a) > (nat > a) > nat). 1.71/1.94 thf(decl_387, type, esk172_4: list_nat > list_nat > (nat > a) > (nat > a) > nat). 1.71/1.94 thf(decl_388, type, esk173_3: list_nat > (nat > nat) > (nat > nat) > nat). 1.71/1.94 thf(decl_389, type, esk174_3: list_nat > (nat > a) > (nat > a) > nat). 1.71/1.94 thf(decl_390, type, esk175_4: list_nat > list_nat > (nat > nat) > (nat > nat) > nat). 1.71/1.94 thf(decl_391, type, esk176_4: list_nat > list_nat > (nat > a) > (nat > a) > nat). 1.71/1.94 thf(decl_392, type, esk177_2: (nat > $o) > list_nat > nat). 1.71/1.94 thf(decl_393, type, esk178_4: list_P1396940483166286381od_a_a > list_P1396940483166286381od_a_a > (product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a). 1.71/1.94 thf(decl_394, type, esk179_4: list_nat > list_nat > (nat > $o) > (nat > $o) > nat). 1.71/1.94 thf(decl_395, type, esk180_2: list_nat > list_nat > nat). 1.71/1.94 thf(decl_396, type, esk181_2: list_a > list_a > nat). 1.71/1.94 thf(decl_397, type, esk182_2: nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_398, type, esk183_2: nat > (nat > nat > $o) > list_nat). 1.71/1.94 thf(decl_399, type, esk184_3: nat > (nat > nat > $o) > list_nat > nat). 1.71/1.94 thf(decl_400, type, esk185_3: nat > (nat > nat > $o) > nat > nat). 1.71/1.94 thf(decl_401, type, esk186_2: nat > (nat > a > $o) > nat). 1.71/1.94 thf(decl_402, type, esk187_2: nat > (nat > a > $o) > list_a). 1.71/1.94 thf(decl_403, type, esk188_3: nat > (nat > a > $o) > list_a > nat). 1.71/1.94 thf(decl_404, type, esk189_3: nat > (nat > a > $o) > nat > a). 1.71/1.94 thf(decl_405, type, esk190_2: list_nat > list_nat > nat). 1.71/1.94 thf(decl_406, type, esk191_2: list_a > list_a > nat). 1.71/1.94 thf(decl_407, type, esk192_2: list_nat > (nat > $o) > nat). 1.71/1.94 thf(decl_408, type, esk193_2: list_nat > (nat > $o) > nat). 1.71/1.94 thf(decl_409, type, esk194_2: list_a > (a > $o) > a). 1.71/1.94 thf(decl_410, type, esk195_2: list_a > (a > $o) > nat). 1.71/1.94 thf(decl_411, type, esk196_2: list_P1396940483166286381od_a_a > (product_prod_a_a > $o) > nat). 1.71/1.94 thf(decl_412, type, esk197_2: list_nat > (nat > $o) > nat). 1.71/1.94 thf(decl_413, type, esk198_2: list_a > (a > $o) > nat). 1.71/1.94 thf(decl_414, type, esk199_2: product_prod_a_a > list_P1396940483166286381od_a_a > nat). 1.71/1.94 thf(decl_415, type, esk200_2: nat > list_nat > nat). 1.71/1.94 thf(decl_416, type, esk201_2: a > list_a > nat). 1.71/1.94 thf(decl_417, type, esk202_3: nat > list_nat > (nat > $o) > nat). 1.71/1.94 thf(decl_418, type, esk203_3: nat > list_a > (a > $o) > a). 1.71/1.94 thf(decl_419, type, esk204_4: (nat > nat) > list_nat > (nat > nat) > list_nat > nat). 1.71/1.94 thf(decl_420, type, esk205_4: (nat > a) > list_nat > (nat > a) > list_nat > nat). 1.71/1.94 thf(decl_421, type, esk206_4: (nat > nat) > list_nat > (a > nat) > list_a > nat). 1.71/1.94 thf(decl_422, type, esk207_4: (nat > a) > list_nat > (a > a) > list_a > nat). 1.71/1.94 thf(decl_423, type, esk208_4: (a > nat) > list_a > (nat > nat) > list_nat > nat). 1.71/1.94 thf(decl_424, type, esk209_4: (a > a) > list_a > (nat > a) > list_nat > nat). 1.71/1.94 thf(decl_425, type, esk210_2: list_nat > set_nat > nat). 1.71/1.94 thf(decl_426, type, esk211_2: list_a > set_nat > nat). 1.71/1.94 thf(decl_427, type, esk212_1: int > nat). 1.71/1.94 thf(decl_428, type, esk213_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_429, type, esk214_1: int > nat). 1.71/1.94 thf(decl_430, type, esk215_1: int > nat). 1.71/1.94 thf(decl_431, type, esk216_1: int > nat). 1.71/1.94 thf(decl_432, type, esk217_1: int > nat). 1.71/1.94 thf(decl_433, type, esk218_1: (int > $o) > nat). 1.71/1.94 thf(decl_434, type, esk219_1: (int > $o) > nat). 1.71/1.94 thf(decl_435, type, esk220_1: int > nat). 1.71/1.94 thf(decl_436, type, esk221_1: int > nat). 1.71/1.94 thf(decl_437, type, esk222_1: int > nat). 1.71/1.94 thf(decl_438, type, esk223_1: int > nat). 1.71/1.94 thf(decl_439, type, esk224_1: int > nat). 1.71/1.94 thf(decl_440, type, esk225_4: list_nat > nat > nat > (nat > nat) > nat). 1.71/1.94 thf(decl_441, type, esk226_4: list_a > nat > nat > (nat > a) > nat). 1.71/1.94 thf(decl_442, type, esk227_1: int > nat). 1.71/1.94 thf(decl_443, type, esk228_1: int > nat). 1.71/1.94 thf(decl_444, type, esk229_2: nat > nat > nat). 1.71/1.94 thf(decl_445, type, esk230_2: nat > nat > nat). 1.71/1.94 thf(decl_446, type, esk231_2: nat > nat > nat). 1.71/1.94 thf(decl_447, type, esk232_2: nat > nat > nat). 1.71/1.94 thf(decl_448, type, esk233_2: nat > nat > nat). 1.71/1.94 thf(decl_449, type, esk234_3: (nat > $o) > nat > nat > nat). 1.71/1.94 thf(decl_450, type, esk235_3: (nat > $o) > nat > nat > nat). 1.71/1.94 thf(decl_451, type, esk236_3: list_nat > list_nat > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_452, type, esk237_3: list_nat > list_nat > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_453, type, esk238_3: list_a > list_a > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_454, type, esk239_3: list_a > list_a > set_Product_prod_a_a > nat). 1.71/1.94 thf(decl_455, type, esk240_2: int > int > nat). 1.71/1.94 thf(decl_456, type, esk241_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_457, type, esk242_3: list_nat > list_nat > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_458, type, esk243_3: list_nat > list_a > set_Pr4193341848836149977_nat_a > nat). 1.71/1.94 thf(decl_459, type, esk244_3: list_a > list_nat > set_Pr4934435412358123699_a_nat > nat). 1.71/1.94 thf(decl_460, type, esk245_3: list_a > list_a > set_Product_prod_a_a > nat). 1.71/1.94 thf(decl_461, type, esk246_2: product_prod_a_a > list_P1396940483166286381od_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_462, type, esk247_2: product_prod_a_a > list_P1396940483166286381od_a_a > product_prod_a_a). 1.71/1.94 thf(decl_463, type, esk248_2: product_prod_a_a > list_P1396940483166286381od_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_464, type, esk249_2: nat > list_nat > list_nat). 1.71/1.94 thf(decl_465, type, esk250_2: nat > list_nat > nat). 1.71/1.94 thf(decl_466, type, esk251_2: nat > list_nat > list_nat). 1.71/1.94 thf(decl_467, type, esk252_3: list_nat > list_P1396940483166286381od_a_a > product_prod_a_a > nat). 1.71/1.94 thf(decl_468, type, esk253_3: list_nat > list_nat > nat > nat). 1.71/1.94 thf(decl_469, type, esk254_3: list_nat > list_a > a > nat). 1.71/1.94 thf(decl_470, type, esk255_3: list_a > list_P1396940483166286381od_a_a > product_prod_a_a > a). 1.71/1.94 thf(decl_471, type, esk256_3: list_a > list_nat > nat > a). 1.71/1.94 thf(decl_472, type, esk257_3: list_a > list_a > a > a). 1.71/1.94 thf(decl_473, type, esk258_3: list_P1396940483166286381od_a_a > list_nat > product_prod_a_a > nat). 1.71/1.94 thf(decl_474, type, esk259_3: list_P1396940483166286381od_a_a > list_a > product_prod_a_a > a). 1.71/1.94 thf(decl_475, type, esk260_3: list_nat > list_nat > nat > nat). 1.71/1.94 thf(decl_476, type, esk261_3: list_nat > list_a > nat > a). 1.71/1.94 thf(decl_477, type, esk262_3: list_a > list_nat > a > nat). 1.71/1.94 thf(decl_478, type, esk263_3: list_a > list_a > a > a). 1.71/1.94 thf(decl_479, type, esk264_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_480, type, esk265_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_481, type, esk266_3: list_P1396940483166286381od_a_a > nat > product_prod_a_a > product_prod_a_a). 1.71/1.94 thf(decl_482, type, esk267_3: list_nat > nat > nat > nat). 1.71/1.94 thf(decl_483, type, esk268_3: list_a > nat > a > a). 1.71/1.94 thf(decl_484, type, esk269_2: list_nat > nat > nat). 1.71/1.94 thf(decl_485, type, esk270_2: list_a > a > a). 1.71/1.94 thf(decl_486, type, esk271_2: (nat > $o) > int > nat). 1.71/1.94 thf(decl_487, type, esk272_5: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat > list_nat > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_488, type, esk273_5: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a > list_a > set_Product_prod_a_a > nat). 1.71/1.94 thf(decl_489, type, esk274_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_490, type, esk275_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_491, type, esk276_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_492, type, esk277_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > nat > nat). 1.71/1.94 thf(decl_493, type, esk278_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_494, type, esk279_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_495, type, esk280_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_496, type, esk281_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_497, type, esk282_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > nat > nat). 1.71/1.94 thf(decl_498, type, esk283_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_499, type, esk284_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_500, type, esk285_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_501, type, esk286_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_502, type, esk287_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_503, type, esk288_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_504, type, esk289_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_505, type, esk290_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_506, type, esk291_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_507, type, esk292_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_508, type, esk293_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > a > a). 1.71/1.94 thf(decl_509, type, esk294_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_510, type, esk295_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_511, type, esk296_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_512, type, esk297_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_513, type, esk298_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > a > a). 1.71/1.94 thf(decl_514, type, esk299_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_515, type, esk300_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_516, type, esk301_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_517, type, esk302_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_518, type, esk303_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_519, type, esk304_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_520, type, esk305_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_521, type, esk306_5: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat > list_nat > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_522, type, esk307_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_523, type, esk308_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_524, type, esk309_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_525, type, esk310_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_526, type, esk311_5: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a > list_a > set_Product_prod_a_a > nat). 1.71/1.94 thf(decl_527, type, esk312_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_528, type, esk313_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_529, type, esk314_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_530, type, esk315_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_531, type, esk316_2: nat > nat > nat). 1.71/1.94 thf(decl_532, type, esk317_2: nat > nat > nat). 1.71/1.94 thf(decl_533, type, esk318_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_534, type, esk319_1: (nat > $o) > nat). 1.71/1.94 thf(decl_535, type, esk320_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_536, type, esk321_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_537, type, esk322_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_538, type, esk323_1: (nat > nat > $o) > nat). 1.71/1.94 thf(decl_539, type, esk324_1: (int > int > $o) > int). 1.71/1.94 thf(decl_540, type, esk325_1: (int > int > $o) > int). 1.71/1.94 thf(decl_541, type, esk326_1: (int > int > $o) > int). 1.71/1.94 thf(decl_542, type, esk327_1: (int > int > $o) > int). 1.71/1.94 thf(decl_543, type, esk328_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_544, type, esk329_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_545, type, esk330_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_546, type, esk331_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_547, type, esk332_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_548, type, esk333_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_549, type, esk334_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_550, type, esk335_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_551, type, esk336_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_552, type, esk337_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_553, type, esk338_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_554, type, esk339_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_555, type, esk340_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_556, type, esk341_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_557, type, esk342_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_558, type, esk343_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_559, type, esk344_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_560, type, esk345_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_561, type, esk346_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_562, type, esk347_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_563, type, esk348_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_564, type, esk349_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_565, type, esk350_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_566, type, esk351_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_567, type, esk352_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_568, type, esk353_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_569, type, esk354_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_570, type, esk355_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_571, type, esk356_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_572, type, esk357_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_573, type, esk358_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_574, type, esk359_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_575, type, esk360_1: (nat > nat) > nat). 1.71/1.94 thf(decl_576, type, esk361_1: (nat > int) > nat). 1.71/1.94 thf(decl_577, type, esk362_1: (nat > nat) > nat). 1.71/1.94 thf(decl_578, type, esk363_1: (nat > int) > nat). 1.71/1.94 thf(decl_579, type, esk364_1: (nat > nat) > nat). 1.71/1.94 thf(decl_580, type, esk365_1: (nat > nat) > nat). 1.71/1.94 thf(decl_581, type, esk366_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_582, type, esk367_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_583, type, esk368_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_584, type, esk369_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_585, type, esk370_3: nat > nat > (nat > nat > $o) > nat). 1.71/1.94 thf(decl_586, type, esk371_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_587, type, esk372_1: (nat > $o) > nat). 1.71/1.94 thf(decl_588, type, esk373_2: nat > nat > nat). 1.71/1.94 thf(decl_589, type, esk374_1: nat > nat). 1.71/1.94 thf(decl_590, type, esk375_1: int > int). 1.71/1.94 thf(decl_591, type, esk376_1: nat > nat). 1.71/1.94 thf(decl_592, type, esk377_1: int > int). 1.71/1.94 thf(decl_593, type, esk378_1: nat > nat). 1.71/1.94 thf(decl_594, type, esk379_1: int > int). 1.71/1.94 thf(decl_595, type, esk380_1: nat > nat). 1.71/1.94 thf(decl_596, type, esk381_1: int > int). 1.71/1.94 thf(decl_597, type, esk382_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_598, type, esk383_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_599, type, esk384_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_600, type, esk385_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_601, type, esk386_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_602, type, esk387_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_603, type, esk388_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_604, type, esk389_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_605, type, esk390_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_606, type, esk391_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_607, type, esk392_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_608, type, esk393_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_609, type, esk394_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_610, type, esk395_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_611, type, esk396_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_612, type, esk397_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_613, type, esk398_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_614, type, esk399_4: nat > nat > (nat > nat) > nat > nat). 1.71/1.94 thf(decl_615, type, esk400_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_616, type, esk401_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_617, type, esk402_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_618, type, esk403_4: int > int > (int > nat) > nat > int). 1.71/1.94 thf(decl_619, type, esk404_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_620, type, esk405_4: int > int > (int > int) > int > int). 1.71/1.94 thf(decl_621, type, esk406_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_622, type, esk407_4: nat > (nat > nat) > nat > nat > nat). 1.71/1.94 thf(decl_623, type, esk408_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_624, type, esk409_4: nat > (int > nat) > int > int > int). 1.71/1.94 thf(decl_625, type, esk410_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_626, type, esk411_4: int > (nat > int) > nat > nat > nat). 1.71/1.94 thf(decl_627, type, esk412_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_628, type, esk413_4: int > (int > int) > int > int > int). 1.71/1.94 thf(decl_629, type, esk414_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_630, type, esk415_4: nat > nat > (nat > $o) > nat > nat). 1.71/1.94 thf(decl_631, type, esk416_3: int > int > (int > $o) > int). 1.71/1.94 thf(decl_632, type, esk417_4: int > int > (int > $o) > int > int). 1.71/1.94 thf(decl_633, type, esk418_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_634, type, esk419_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_635, type, esk420_3: nat > nat > (nat > $o) > nat). 1.71/1.94 thf(decl_636, type, esk421_1: (nat > nat) > nat). 1.71/1.94 thf(decl_637, type, esk422_1: (nat > nat) > nat). 1.71/1.94 thf(decl_638, type, esk423_1: int > nat). 1.71/1.94 thf(decl_639, type, esk424_1: int > nat). 1.71/1.94 thf(decl_640, type, esk425_2: int > int > nat). 1.71/1.94 thf(decl_641, type, esk426_3: list_P1396940483166286381od_a_a > (product_prod_a_a > nat) > (product_prod_a_a > nat) > product_prod_a_a). 1.71/1.94 thf(decl_642, type, esk427_3: list_nat > (nat > nat) > (nat > nat) > nat). 1.71/1.94 thf(decl_643, type, esk428_2: (nat > $o) > nat > nat). 1.71/1.94 thf(decl_644, type, esk429_1: int > nat). 1.71/1.94 thf(decl_645, type, esk430_2: nat > (nat > int) > nat). 1.71/1.94 thf(decl_646, type, esk431_3: nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_647, type, esk432_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_648, type, esk433_2: nat > (nat > $o) > nat). 1.71/1.94 thf(decl_649, type, esk434_2: list_P1396940483166286381od_a_a > set_Product_prod_a_a > product_prod_a_a). 1.71/1.94 thf(decl_650, type, esk435_2: list_nat > set_nat > nat). 1.71/1.94 thf(decl_651, type, esk436_3: nat > nat > (nat > int) > nat). 1.71/1.94 thf(decl_652, type, esk437_4: nat > nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_653, type, esk438_2: nat > (nat > int) > nat). 1.71/1.94 thf(decl_654, type, esk439_3: nat > (nat > int) > int > nat). 1.71/1.94 thf(decl_655, type, esk440_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat). 1.71/1.94 thf(decl_656, type, esk441_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a). 1.71/1.94 thf(decl_657, type, esk442_3: set_nat > set_nat > (nat > $o) > nat). 1.71/1.94 thf(decl_658, type, esk443_3: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a). 1.71/1.94 thf(decl_659, type, esk444_2: (int > $o) > int > int). 1.71/1.94 thf(decl_660, type, esk445_2: (int > $o) > int > int). 1.71/1.94 thf(decl_661, type, esk446_3: (int > $o) > int > (int > $o) > int). 1.71/1.94 thf(decl_662, type, esk447_3: (int > $o) > int > (int > $o) > int). 1.71/1.94 thf(decl_663, type, esk448_2: (int > $o) > int > int). 1.71/1.94 thf(decl_664, type, esk449_2: (int > $o) > int > int). 1.71/1.94 thf(decl_665, type, esk450_3: (int > $o) > int > (int > $o) > int). 1.71/1.94 thf(decl_666, type, esk451_3: (int > $o) > int > (int > $o) > int). 1.71/1.94 thf(decl_667, type, esk452_2: int > (int > $o) > int). 1.71/1.94 thf(decl_668, type, esk453_2: int > (int > $o) > int). 1.71/1.94 thf(decl_669, type, esk454_4: int > (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_670, type, esk455_3: int > (int > $o) > (int > $o) > int). 1.71/1.94 thf(decl_671, type, esk456_2: int > (int > $o) > int). 1.71/1.94 thf(decl_672, type, esk457_2: int > (int > $o) > int). 1.71/1.94 thf(decl_673, type, esk458_4: int > (int > $o) > (int > $o) > int > int). 1.71/1.94 thf(decl_674, type, esk459_3: int > (int > $o) > (int > $o) > int). 1.71/1.94 thf(decl_675, type, esk460_2: int > (int > $o) > int). 1.71/1.94 thf(decl_676, type, esk461_2: int > (int > $o) > int). 1.71/1.94 thf(decl_677, type, esk462_4: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_678, type, esk463_4: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_679, type, esk464_5: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_680, type, esk465_5: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_681, type, esk466_4: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_682, type, esk467_4: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > nat). 1.71/1.94 thf(decl_683, type, esk468_5: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_684, type, esk469_5: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat > (nat > nat) > set_Pr1261947904930325089at_nat > nat). 1.71/1.94 thf(decl_685, type, esk470_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_686, type, esk471_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_687, type, esk472_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_688, type, esk473_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > nat > nat). 1.71/1.94 thf(decl_689, type, esk474_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_690, type, esk475_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_691, type, esk476_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_692, type, esk477_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_693, type, esk478_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > nat > nat). 1.71/1.94 thf(decl_694, type, esk479_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > set_Pr1261947904930325089at_nat). 1.71/1.94 thf(decl_695, type, esk480_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_696, type, esk481_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat) > list_nat). 1.71/1.94 thf(decl_697, type, esk482_4: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > a). 1.71/1.94 thf(decl_698, type, esk483_4: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > a). 1.71/1.94 thf(decl_699, type, esk484_5: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_700, type, esk485_5: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_701, type, esk486_4: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > a). 1.71/1.94 thf(decl_702, type, esk487_4: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > a). 1.71/1.94 thf(decl_703, type, esk488_5: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_704, type, esk489_5: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_705, type, esk490_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_706, type, esk491_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_707, type, esk492_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_708, type, esk493_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > a > a). 1.71/1.94 thf(decl_709, type, esk494_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_710, type, esk495_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_711, type, esk496_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_712, type, esk497_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_713, type, esk498_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > a > a). 1.71/1.94 thf(decl_714, type, esk499_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > set_Product_prod_a_a). 1.71/1.94 thf(decl_715, type, esk500_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_716, type, esk501_2: (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > (set_Product_prod_a_a > set_Product_prod_a_a > set_Pr4048851178543822343list_a) > list_a). 1.71/1.94 thf(decl_717, type, epred3_1: nat > nat > $o). 1.71/1.94 thf(decl_718, type, epred4_1: nat > nat > $o). 1.71/1.94 thf(decl_719, type, epred5_1: nat > nat > $o). 1.71/1.94 thf(decl_720, type, epred6_3: nat > $o > nat > nat > $o). 1.71/1.94 thf(decl_721, type, epred7_1: set_nat > nat > $o). 1.71/1.94 thf(decl_722, type, epred8_1: set_Product_prod_a_a > product_prod_a_a > $o). 1.71/1.94 thf(decl_723, type, epred9_0: nat > $o). 1.71/1.94 thf(decl_724, type, epred10_0: nat > $o). 1.71/1.94 thf(decl_725, type, epred11_2: (product_prod_a_a > $o) > list_P1396940483166286381od_a_a > product_prod_a_a > $o). 1.71/1.94 thf(decl_726, type, epred12_2: (nat > $o) > list_nat > nat > $o). 1.71/1.94 thf(decl_727, type, esk502_0: nat > nat). 1.71/1.94 thf(decl_728, type, epred13_2: (nat > $o) > (nat > $o) > nat > $o). 1.71/1.94 thf(decl_729, type, epred14_2: list_nat > (nat > $o) > nat > $o). 1.71/1.94 thf(decl_730, type, epred15_2: list_a > (a > $o) > nat > $o). 1.71/1.94 thf(decl_731, type, epred16_2: set_nat > list_nat > nat > $o). 1.71/1.94 thf(decl_732, type, epred17_2: set_nat > list_a > a > $o). 1.71/1.94 thf(decl_733, type, esk503_0: nat > nat). 1.71/1.94 thf(decl_734, type, epred18_1: list_nat > nat > $o). 1.71/1.94 thf(decl_735, type, epred19_1: list_a > a > $o). 1.71/1.94 thf(decl_736, type, epred20_3: set_nat > (nat > a) > (nat > a) > product_prod_a_a > $o). 1.71/1.94 thf(decl_737, type, epred21_3: set_Product_prod_a_a > (product_prod_a_a > a) > (product_prod_a_a > a) > product_prod_a_a > $o). 1.71/1.94 thf(decl_738, type, epred22_1: (nat > $o) > nat > $o). 1.71/1.94 thf(decl_739, type, epred23_1: (a > $o) > a > $o). 1.71/1.94 thf(decl_740, type, esk504_1: nat > nat > nat). 1.71/1.94 thf(decl_741, type, epred24_2: nat > (nat > nat) > nat > $o). 1.71/1.94 thf(decl_742, type, epred25_2: nat > (nat > nat) > nat > $o). 1.71/1.94 thf(decl_743, type, epred26_2: (nat > nat) > nat > nat > $o). 1.71/1.94 thf(decl_744, type, epred27_2: int > (nat > int) > nat > $o). 1.71/1.94 thf(decl_745, type, epred28_2: int > (nat > int) > nat > $o). 1.71/1.94 thf(decl_746, type, epred29_2: (nat > int) > int > nat > $o). 1.71/1.94 thf(decl_747, type, epred30_2: set_Product_prod_a_a > (a > a) > product_prod_a_a > $o). 1.71/1.94 thf(decl_748, type, epred31_3: set_Product_prod_a_a > (nat > a) > set_nat > product_prod_nat_nat > $o). 1.71/1.94 thf(decl_749, type, epred32_3: set_Product_prod_a_a > (product_prod_a_a > a) > set_Product_prod_a_a > produc3498347346309940967od_a_a > $o). 1.71/1.94 thf(decl_750, type, epred33_3: set_Product_prod_a_a > (a > a) > set_a > product_prod_a_a > $o). 1.71/1.94 thf(decl_751, type, esk505_1: (nat > nat) > nat > product_prod_nat_nat). 1.71/1.94 thf(decl_752, type, esk506_1: (nat > a) > nat > product_prod_nat_a). 1.71/1.94 thf(decl_753, type, esk507_0: int > int). 1.71/1.94 thf(decl_754, type, esk508_0: a > product_prod_a_a). 1.71/1.94 thf(decl_755, type, esk509_1: (nat > a) > nat > a). 1.71/1.94 thf(decl_756, type, esk510_1: (nat > nat) > nat > nat). 1.71/1.94 thf(decl_757, type, epred34_2: list_nat > list_nat > product_prod_nat_nat > $o). 1.71/1.94 thf(decl_758, type, epred35_2: list_a > list_nat > product_prod_nat_a > $o). 1.71/1.94 thf(decl_759, type, epred36_2: list_nat > list_a > product_prod_a_nat > $o). 1.71/1.94 thf(decl_760, type, epred37_2: list_a > list_a > product_prod_a_a > $o). 1.71/1.94 thf(decl_761, type, esk511_1: nat > nat > nat). 1.71/1.94 thf(decl_762, type, esk512_1: a > nat > a). 1.71/1.94 thf(decl_763, type, epred38_1: set_Product_prod_a_a > a > a > $o). 1.71/1.94 thf(decl_764, type, esk513_0: nat > product_prod_nat_nat). 1.71/1.94 thf(decl_765, type, epred39_2: set_li8827807065578854541od_a_a > set_Product_prod_a_a > list_P1396940483166286381od_a_a > $o). 1.71/1.94 thf(decl_766, type, epred40_2: set_list_nat > set_nat > list_nat > $o). 1.71/1.94 thf(decl_767, type, epred41_0: nat > nat > $o). 1.71/1.94 thf(decl_768, type, epred42_0: int > int > $o). 1.71/1.94 thf(decl_769, type, epred43_2: (nat > $o) > set_nat > nat > $o). 1.71/1.94 thf(decl_770, type, epred44_2: (product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a > $o). 1.71/1.94 thf(decl_771, type, esk514_3: nat > list_nat > set_nat > nat). 1.71/1.94 thf(decl_772, type, esk515_3: a > list_a > set_nat > nat). 1.71/1.94 thf(decl_773, type, esk516_2: nat > list_nat > nat). 1.71/1.94 thf(decl_774, type, esk517_2: a > list_a > nat). 1.71/1.94 thf(decl_775, type, esk518_4: product_prod_a_a > (nat > a) > (nat > a) > set_nat > nat). 1.71/1.94 thf(decl_776, type, esk519_4: product_prod_a_a > (product_prod_a_a > a) > (product_prod_a_a > a) > set_Product_prod_a_a > product_prod_a_a). 1.71/1.94 thf(decl_777, type, esk520_3: product_prod_a_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_778, type, esk521_3: product_prod_a_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_779, type, esk522_4: product_prod_nat_nat > set_nat > (nat > a) > set_Product_prod_a_a > nat). 1.71/1.94 thf(decl_780, type, esk523_4: product_prod_nat_nat > set_nat > (nat > a) > set_Product_prod_a_a > nat). 1.71/1.94 thf(decl_781, type, esk524_4: produc3498347346309940967od_a_a > set_Product_prod_a_a > (product_prod_a_a > a) > set_Product_prod_a_a > product_prod_a_a). 1.71/1.94 thf(decl_782, type, esk525_4: produc3498347346309940967od_a_a > set_Product_prod_a_a > (product_prod_a_a > a) > set_Product_prod_a_a > product_prod_a_a). 1.71/1.94 thf(decl_783, type, esk526_4: product_prod_a_a > set_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_784, type, esk527_4: product_prod_a_a > set_a > (a > a) > set_Product_prod_a_a > a). 1.71/1.94 thf(decl_785, type, esk528_3: product_prod_nat_nat > list_nat > list_nat > nat). 1.71/1.94 thf(decl_786, type, esk529_3: product_prod_nat_a > list_nat > list_a > nat). 1.71/1.94 thf(decl_787, type, esk530_3: product_prod_a_nat > list_a > list_nat > nat). 1.71/1.94 thf(decl_788, type, esk531_3: product_prod_a_a > list_a > list_a > nat). 1.71/1.94 thf(decl_789, type, esk532_3: list_P1396940483166286381od_a_a > set_Product_prod_a_a > set_li8827807065578854541od_a_a > product_prod_a_a). 1.71/1.94 thf(decl_790, type, esk533_3: list_P1396940483166286381od_a_a > set_Product_prod_a_a > set_li8827807065578854541od_a_a > list_P1396940483166286381od_a_a). 1.71/1.94 thf(decl_791, type, esk534_3: list_nat > set_nat > set_list_nat > nat). 1.71/1.94 thf(decl_792, type, esk535_3: list_nat > set_nat > set_list_nat > list_nat). 1.71/1.94 thf(decl_793, type, esk536_0: nat). 1.71/1.94 thf(decl_794, type, esk537_0: nat). 1.71/1.94 thf(decl_795, type, esk538_0: nat). 1.71/1.94 thf(decl_796, type, esk539_0: nat). 1.71/1.94 thf(conj_0, conjecture, ((ord_less_nat @ (j_of_i @ i) @ m)&(v @ (multis387687052011358179_Gamma @ i @ (j_of_i @ i)))), file('/export/starexec/sandbox/tmp/tmp.CMCZf4iPii/Vampire---4.8_32150', conj_0)). 1.71/1.94 thf(fact_3_j__of__i_I1_J, axiom, ![X1:nat]:(((ord_less_nat @ X1 @ n)=>((v @ (multis2544335231667181926psilon @ X1))=>((ord_less_nat @ (j_of_i @ X1) @ m)&(v @ (multis387687052011358179_Gamma @ X1 @ (j_of_i @ X1))))))), file('/export/starexec/sandbox/tmp/tmp.CMCZf4iPii/Vampire---4.8_32150', fact_3_j__of__i_I1_J)). 1.71/1.94 thf(fact_1_ir_I2_J, axiom, (v @ (multis2544335231667181926psilon @ i)), file('/export/starexec/sandbox/tmp/tmp.CMCZf4iPii/Vampire---4.8_32150', fact_1_ir_I2_J)). 1.71/1.94 thf(fact_0_ir_I1_J, axiom, (ord_less_nat @ i @ n), file('/export/starexec/sandbox/tmp/tmp.CMCZf4iPii/Vampire---4.8_32150', fact_0_ir_I1_J)). 1.71/1.94 thf(c_0_4, negated_conjecture, ~(((ord_less_nat @ (j_of_i @ i) @ m)&(v @ (multis387687052011358179_Gamma @ i @ (j_of_i @ i))))), inference(assume_negation,[status(cth)],[conj_0])). 1.71/1.94 thf(c_0_5, plain, ![X5015:nat]:((((ord_less_nat @ (j_of_i @ X5015) @ m)|~(v @ (multis2544335231667181926psilon @ X5015))|~(ord_less_nat @ X5015 @ n))&((v @ (multis387687052011358179_Gamma @ X5015 @ (j_of_i @ X5015)))|~(v @ (multis2544335231667181926psilon @ X5015))|~(ord_less_nat @ X5015 @ n)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_j__of__i_I1_J])])])). 1.71/1.94 thf(c_0_6, negated_conjecture, (~(ord_less_nat @ (j_of_i @ i) @ m)|~(v @ (multis387687052011358179_Gamma @ i @ (j_of_i @ i)))), inference(fof_nnf,[status(thm)],[c_0_4])). 1.71/1.94 thf(c_0_7, plain, ![X1:nat]:(((ord_less_nat @ (j_of_i @ X1) @ m)|~((v @ (multis2544335231667181926psilon @ X1)))|~((ord_less_nat @ X1 @ n)))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.71/1.94 thf(c_0_8, plain, (v @ (multis2544335231667181926psilon @ i)), inference(split_conjunct,[status(thm)],[fact_1_ir_I2_J])). 1.71/1.94 thf(c_0_9, plain, (ord_less_nat @ i @ n), inference(split_conjunct,[status(thm)],[fact_0_ir_I1_J])). 1.71/1.94 thf(c_0_10, negated_conjecture, (~((ord_less_nat @ (j_of_i @ i) @ m))|~((v @ (multis387687052011358179_Gamma @ i @ (j_of_i @ i))))), inference(split_conjunct,[status(thm)],[c_0_6])). 1.71/1.94 thf(c_0_11, plain, (ord_less_nat @ (j_of_i @ i) @ m), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9])])). 1.71/1.94 thf(c_0_12, plain, ![X1:nat]:(((v @ (multis387687052011358179_Gamma @ X1 @ (j_of_i @ X1)))|~((v @ (multis2544335231667181926psilon @ X1)))|~((ord_less_nat @ X1 @ n)))), inference(split_conjunct,[status(thm)],[c_0_5])). 1.71/1.94 thf(c_0_13, negated_conjecture, ~((v @ (multis387687052011358179_Gamma @ i @ (j_of_i @ i)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])). 1.71/1.94 thf(c_0_14, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_8]), c_0_9])]), c_0_13]), ['proof']). 1.71/1.94 # SZS output end CNFRefutation 1.71/1.94 # Parsed axioms : 1511 1.71/1.94 # Removed by relevancy pruning/SinE : 0 1.71/1.94 # Initial clauses : 3210 1.71/1.94 # Removed in clause preprocessing : 313 1.71/1.94 # Initial clauses in saturation : 2897 1.71/1.94 # Processed clauses : 5484 1.71/1.94 # ...of these trivial : 89 1.71/1.94 # ...subsumed : 1748 1.71/1.94 # ...remaining for further processing : 3647 1.71/1.94 # Other redundant clauses eliminated : 388 1.71/1.94 # Clauses deleted for lack of memory : 0 1.71/1.94 # Backward-subsumed : 35 1.71/1.94 # Backward-rewritten : 27 1.71/1.94 # Generated clauses : 6556 1.71/1.94 # ...of the previous two non-redundant : 5348 1.71/1.94 # ...aggressively subsumed : 0 1.71/1.94 # Contextual simplify-reflections : 3 1.71/1.94 # Paramodulations : 6007 1.71/1.94 # Factorizations : 0 1.71/1.94 # NegExts : 4 1.71/1.94 # Equation resolutions : 393 1.71/1.94 # Propositional unsat checks : 0 1.71/1.94 # Propositional check models : 0 1.71/1.94 # Propositional check unsatisfiable : 0 1.71/1.94 # Propositional clauses : 0 1.71/1.94 # Propositional clauses after purity: 0 1.71/1.94 # Propositional unsat core size : 0 1.71/1.94 # Propositional preprocessing time : 0.000 1.71/1.94 # Propositional encoding time : 0.000 1.71/1.94 # Propositional solver time : 0.000 1.71/1.94 # Success case prop preproc time : 0.000 1.71/1.94 # Success case prop encoding time : 0.000 1.71/1.94 # Success case prop solver time : 0.000 1.71/1.94 # Current number of processed clauses : 1155 1.71/1.94 # Positive orientable unit clauses : 408 1.71/1.94 # Positive unorientable unit clauses: 10 1.71/1.94 # Negative unit clauses : 484 1.71/1.94 # Non-unit-clauses : 253 1.71/1.94 # Current number of unprocessed clauses: 4892 1.71/1.94 # ...number of literals in the above : 11507 1.71/1.94 # Current number of archived formulas : 0 1.71/1.94 # Current number of archived clauses : 2204 1.71/1.94 # Clause-clause subsumption calls (NU) : 1297797 1.71/1.94 # Rec. Clause-clause subsumption calls : 211230 1.71/1.94 # Non-unit clause-clause subsumptions : 641 1.71/1.94 # Unit Clause-clause subsumption calls : 52301 1.71/1.94 # Rewrite failures with RHS unbound : 0 1.71/1.94 # BW rewrite match attempts : 139 1.71/1.94 # BW rewrite match successes : 46 1.71/1.94 # Condensation attempts : 0 1.71/1.94 # Condensation successes : 0 1.71/1.94 # Termbank termtop insertions : 364728 1.71/1.94 1.71/1.94 # ------------------------------------------------- 1.71/1.94 # User time : 1.280 s 1.71/1.94 # System time : 0.039 s 1.71/1.94 # Total time : 1.319 s 1.71/1.94 # Maximum resident set size: 15452 pages 1.71/1.94 1.71/1.94 # ------------------------------------------------- 1.71/1.94 # User time : 1.326 s 1.71/1.94 # System time : 0.043 s 1.71/1.94 # Total time : 1.369 s 1.71/1.94 # Maximum resident set size: 4576 pages 1.71/1.94 EOF