0.14/0.32	% Problem    : SLH0159^1 : TPTP v8.2.0. Released v8.2.0.
0.32/0.32	% Command    : run_E %s %d THM
0.36/0.54	% Computer : n015.cluster.edu
0.36/0.54	% Model    : x86_64 x86_64
0.36/0.54	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.36/0.54	% Memory   : 8042.1875MB
0.36/0.54	% OS       : Linux 3.10.0-693.el7.x86_64
0.36/0.54	% CPULimit   : 30
0.36/0.54	% WCLimit    : 30
0.36/0.54	% DateTime   : Mon Jul  3 08:27:55 EDT 2023
0.36/0.54	% CPUTime    : 
0.40/0.67	The problem SPC is TH0_THM_EQU_NAR
0.40/0.68	Running higher-order on 1 cores theorem proving
0.40/0.68	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/tmp/tmp.xpgi7xgAVg/Vampire---4.8_20961
0.40/0.68	# Version: 3.0pre003-ho
0.99/1.19	# partial match(1): HSLMSMSMSSMNHFA
0.99/1.19	# Preprocessing class: HMLMSMSMSSMNHFA.
0.99/1.19	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.99/1.19	# Starting full_lambda_6 with 30s (1) cores
0.99/1.19	# full_lambda_6 with pid 21141 completed with status 0
0.99/1.19	# Result found by full_lambda_6
0.99/1.19	# partial match(1): HSLMSMSMSSMNHFA
0.99/1.19	# Preprocessing class: HMLMSMSMSSMNHFA.
0.99/1.19	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.99/1.19	# Starting full_lambda_6 with 30s (1) cores
0.99/1.19	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
0.99/1.19	# ...ProofStateSinE()=1078/1556
0.99/1.19	# Search class: HGHSM-SMLM32-DHFFFSBN
0.99/1.19	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.99/1.19	# Starting new_ho_10 with 17s (1) cores
0.99/1.19	# new_ho_10 with pid 21142 completed with status 0
0.99/1.19	# Result found by new_ho_10
0.99/1.19	# partial match(1): HSLMSMSMSSMNHFA
0.99/1.19	# Preprocessing class: HMLMSMSMSSMNHFA.
0.99/1.19	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.99/1.19	# Starting full_lambda_6 with 30s (1) cores
0.99/1.19	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
0.99/1.19	# ...ProofStateSinE()=1078/1556
0.99/1.19	# Search class: HGHSM-SMLM32-DHFFFSBN
0.99/1.19	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.99/1.19	# Starting new_ho_10 with 17s (1) cores
0.99/1.19	# Preprocessing time       : 0.058 s
0.99/1.19	# Presaturation interreduction done
0.99/1.19	
0.99/1.19	# Proof found!
0.99/1.19	# SZS status Theorem
0.99/1.19	# SZS output start CNFRefutation
0.99/1.19	thf(decl_22, type, minus_minus_int: int > int > int).
0.99/1.19	thf(decl_23, type, minus_minus_nat: nat > nat > nat).
0.99/1.19	thf(decl_24, type, one_one_int: int).
0.99/1.19	thf(decl_25, type, one_one_nat: nat).
0.99/1.19	thf(decl_26, type, plus_plus_int: int > int > int).
0.99/1.19	thf(decl_27, type, plus_plus_nat: nat > nat > nat).
0.99/1.19	thf(decl_28, type, plus_plus_num: num > num > num).
0.99/1.19	thf(decl_29, type, uminus_uminus_int: int > int).
0.99/1.19	thf(decl_30, type, zero_zero_int: int).
0.99/1.19	thf(decl_31, type, zero_zero_nat: nat).
0.99/1.19	thf(decl_32, type, if_list_int: $o > list_int > list_int > list_int).
0.99/1.19	thf(decl_33, type, if_nat: $o > nat > nat > nat).
0.99/1.19	thf(decl_34, type, nat2: int > nat).
0.99/1.19	thf(decl_35, type, board: nat > nat > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_36, type, board_exec: nat > nat > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_37, type, board_exec_aux: nat > set_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_38, type, circuit_checker: set_Pr958786334691620121nt_int > list_P5707943133018811711nt_int > $o).
0.99/1.19	thf(decl_39, type, knights_circuit: set_Pr958786334691620121nt_int > list_P5707943133018811711nt_int > $o).
0.99/1.19	thf(decl_40, type, knights_path: set_Pr958786334691620121nt_int > list_P5707943133018811711nt_int > $o).
0.99/1.19	thf(decl_41, type, mirror1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_42, type, mirror1_aux: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_43, type, mirror1_aux_rel: produc661532565036771336nt_int > produc661532565036771336nt_int > $o).
0.99/1.19	thf(decl_44, type, mirror1_board: int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_45, type, mirror1_square: int > product_prod_int_int > product_prod_int_int).
0.99/1.19	thf(decl_46, type, mirror2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_47, type, mirror2_aux: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_48, type, mirror2_aux_rel: produc661532565036771336nt_int > produc661532565036771336nt_int > $o).
0.99/1.19	thf(decl_49, type, mirror2_board: int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_50, type, mirror2_square: int > product_prod_int_int > product_prod_int_int).
0.99/1.19	thf(decl_51, type, step_checker: product_prod_int_int > product_prod_int_int > $o).
0.99/1.19	thf(decl_52, type, step_in: list_P5707943133018811711nt_int > product_prod_int_int > product_prod_int_int > $o).
0.99/1.19	thf(decl_53, type, trans_board: product_prod_int_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_54, type, trans_path: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_55, type, trans_path_rel: produc4058024888802116461nt_int > produc4058024888802116461nt_int > $o).
0.99/1.19	thf(decl_56, type, transpose: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_57, type, transp5086951854761112574nt_int: product_prod_int_int > product_prod_int_int).
0.99/1.19	thf(decl_58, type, valid_step: product_prod_int_int > product_prod_int_int > $o).
0.99/1.19	thf(decl_59, type, append_int: list_int > list_int > list_int).
0.99/1.19	thf(decl_60, type, append7030698103840186580nt_int: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_61, type, append6084095472372872615nt_int: list_P8440714079264627474nt_int > list_P8440714079264627474nt_int > list_P8440714079264627474nt_int).
0.99/1.19	thf(decl_62, type, append2855626057535414585nt_int: list_P3467955165070007716nt_int > list_P3467955165070007716nt_int > list_P3467955165070007716nt_int).
0.99/1.19	thf(decl_63, type, append9111546825139864322nt_int: list_P2336717926344734829nt_int > list_P2336717926344734829nt_int > list_P2336717926344734829nt_int).
0.99/1.19	thf(decl_64, type, butlast_int: list_int > list_int).
0.99/1.19	thf(decl_65, type, butlas2390654596765537291nt_int: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_66, type, drop_int: nat > list_int > list_int).
0.99/1.19	thf(decl_67, type, drop_P5690361596310759935nt_int: nat > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_68, type, drop_P5227224544534396845nt_int: nat > list_P2336717926344734829nt_int > list_P2336717926344734829nt_int).
0.99/1.19	thf(decl_69, type, gen_length_int: nat > list_int > nat).
0.99/1.19	thf(decl_70, type, gen_le8428774395332151372nt_int: nat > list_P5707943133018811711nt_int > nat).
0.99/1.19	thf(decl_71, type, insert_int: int > list_int > list_int).
0.99/1.19	thf(decl_72, type, insert5765537519290168021nt_int: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_73, type, last_i813233280922151042e_term: list_i8448526496819171953e_term > int > option6357759511663192854e_term).
0.99/1.19	thf(decl_74, type, last_P8974135382477003148e_term: list_P1743416141875011707e_term > produc8551481072490612790e_term > option6357759511663192854e_term).
0.99/1.19	thf(decl_75, type, last_int: list_int > int).
0.99/1.19	thf(decl_76, type, last_l5818330359162608606nt_int: list_l1670014477004246597nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_77, type, last_P858631638320919470nt_int: list_P8915022641806594461nt_int > produc7773217078559923341nt_int).
0.99/1.19	thf(decl_78, type, last_P7958387789370520228nt_int: list_P651320350408439699nt_int > produc2285326912895808259nt_int).
0.99/1.19	thf(decl_79, type, last_P3305686521732843992nt_int: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_80, type, last_P2520469823115007657nt_int: list_P6957225279449687320nt_int > produc661532565036771336nt_int).
0.99/1.19	thf(decl_81, type, last_P1404851042722871203nt_int: list_P8440714079264627474nt_int > produc759720530913461378nt_int).
0.99/1.19	thf(decl_82, type, last_P7399753664740188981nt_int: list_P3467955165070007716nt_int > produc6754623152930779156nt_int).
0.99/1.19	thf(decl_83, type, last_P6195391842956826118nt_int: list_P2336717926344734829nt_int > produc1219242969750017639nt_int).
0.99/1.19	thf(decl_84, type, last_P8349554573887375916nt_int: list_P7325284593498602387nt_int > produc2007852851243229709nt_int).
0.99/1.19	thf(decl_85, type, last_s3107260788710622008nt_int: list_s8839374986383574687nt_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_86, type, lenlex_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int).
0.99/1.19	thf(decl_87, type, lenlex6370358691973319492nt_int: set_Pr2560585780119916871nt_int > set_Pr6304946757569631943nt_int).
0.99/1.19	thf(decl_88, type, lex_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int).
0.99/1.19	thf(decl_89, type, lex_Pr5393148144989827363nt_int: set_Pr2560585780119916871nt_int > set_Pr6304946757569631943nt_int).
0.99/1.19	thf(decl_90, type, cons_int_nat: (int > nat) > list_int_nat > list_int_nat).
0.99/1.19	thf(decl_91, type, cons_i7166360444231718571e_term: (int > option6357759511663192854e_term) > list_i8448526496819171953e_term > list_i8448526496819171953e_term).
0.99/1.19	thf(decl_92, type, cons_P2630085844062958645e_term: (produc8551481072490612790e_term > option6357759511663192854e_term) > list_P1743416141875011707e_term > list_P1743416141875011707e_term).
0.99/1.19	thf(decl_93, type, cons_int: int > list_int > list_int).
0.99/1.19	thf(decl_94, type, cons_list_int: list_int > list_list_int > list_list_int).
0.99/1.19	thf(decl_95, type, cons_l7309679040211256053nt_int: list_P5707943133018811711nt_int > list_l1670014477004246597nt_int > list_l1670014477004246597nt_int).
0.99/1.19	thf(decl_96, type, cons_P2743708091642732631nt_int: produc7773217078559923341nt_int > list_P8915022641806594461nt_int > list_P8915022641806594461nt_int).
0.99/1.19	thf(decl_97, type, cons_P6018425551955479501nt_int: produc2285326912895808259nt_int > list_P651320350408439699nt_int > list_P651320350408439699nt_int).
0.99/1.19	thf(decl_98, type, cons_P3334398858971670639nt_int: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_99, type, cons_P9095479431110121170nt_int: produc661532565036771336nt_int > list_P6957225279449687320nt_int > list_P6957225279449687320nt_int).
0.99/1.19	thf(decl_100, type, cons_P7677826916479574092nt_int: produc759720530913461378nt_int > list_P8440714079264627474nt_int > list_P8440714079264627474nt_int).
0.99/1.19	thf(decl_101, type, cons_P4449357501642116062nt_int: produc6754623152930779156nt_int > list_P3467955165070007716nt_int > list_P3467955165070007716nt_int).
0.99/1.19	thf(decl_102, type, cons_P9091998269994194461nt_int: produc1219242969750017639nt_int > list_P2336717926344734829nt_int > list_P2336717926344734829nt_int).
0.99/1.19	thf(decl_103, type, cons_P7832712712656271043nt_int: produc2007852851243229709nt_int > list_P7325284593498602387nt_int > list_P7325284593498602387nt_int).
0.99/1.19	thf(decl_104, type, cons_s6578334183908017615nt_int: set_Pr958786334691620121nt_int > list_s8839374986383574687nt_int > list_s8839374986383574687nt_int).
0.99/1.19	thf(decl_105, type, nil_int_nat: list_int_nat).
0.99/1.19	thf(decl_106, type, nil_in3447728264653889115e_term: list_i8448526496819171953e_term).
0.99/1.19	thf(decl_107, type, nil_Pr2193041437141079013e_term: list_P1743416141875011707e_term).
0.99/1.19	thf(decl_108, type, nil_int: list_int).
0.99/1.19	thf(decl_109, type, nil_list_int: list_list_int).
0.99/1.19	thf(decl_110, type, nil_li8670148097206105925nt_int: list_l1670014477004246597nt_int).
0.99/1.19	thf(decl_111, type, nil_Pr2300489316682597567nt_int: list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_112, type, nil_Pr8203581034599997436nt_int: list_P8440714079264627474nt_int).
0.99/1.19	thf(decl_113, type, nil_Pr4975111619762539406nt_int: list_P3467955165070007716nt_int).
0.99/1.19	thf(decl_114, type, nil_Pr2941907410405800557nt_int: list_P2336717926344734829nt_int).
0.99/1.19	thf(decl_115, type, nil_se54404438492013087nt_int: list_s8839374986383574687nt_int).
0.99/1.19	thf(decl_116, type, hd_int7405675249218303542e_term: list_i8448526496819171953e_term > int > option6357759511663192854e_term).
0.99/1.19	thf(decl_117, type, hd_Pro8443970089900138816e_term: list_P1743416141875011707e_term > produc8551481072490612790e_term > option6357759511663192854e_term).
0.99/1.19	thf(decl_118, type, hd_int: list_int > int).
0.99/1.19	thf(decl_119, type, hd_lis8550591025403828010nt_int: list_l1670014477004246597nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_120, type, hd_Pro2201378251908260706nt_int: list_P8915022641806594461nt_int > produc7773217078559923341nt_int).
0.99/1.19	thf(decl_121, type, hd_Pro8246561224800902232nt_int: list_P651320350408439699nt_int > produc2285326912895808259nt_int).
0.99/1.19	thf(decl_122, type, hd_Pro282112905867057956nt_int: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_123, type, hd_Pro5866865383777520733nt_int: list_P6957225279449687320nt_int > produc661532565036771336nt_int).
0.99/1.19	thf(decl_124, type, hd_Pro3795770981157345111nt_int: list_P8440714079264627474nt_int > produc759720530913461378nt_int).
0.99/1.19	thf(decl_125, type, hd_Pro567301566319887081nt_int: list_P3467955165070007716nt_int > produc6754623152930779156nt_int).
0.99/1.19	thf(decl_126, type, hd_Pro8821803587750610258nt_int: list_P2336717926344734829nt_int > produc1219242969750017639nt_int).
0.99/1.19	thf(decl_127, type, hd_Pro213882420505817976nt_int: list_P7325284593498602387nt_int > produc2007852851243229709nt_int).
0.99/1.19	thf(decl_128, type, hd_set5458074601020007556nt_int: list_s8839374986383574687nt_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_129, type, list_ex1_int: (int > $o) > list_int > $o).
0.99/1.19	thf(decl_130, type, list_e5465588451548443778nt_int: (product_prod_int_int > $o) > list_P5707943133018811711nt_int > $o).
0.99/1.19	thf(decl_131, type, list_u8946639151299769843e_term: list_i8448526496819171953e_term > nat > (int > option6357759511663192854e_term) > list_i8448526496819171953e_term).
0.99/1.19	thf(decl_132, type, list_u3533491785856317309e_term: list_P1743416141875011707e_term > nat > (produc8551481072490612790e_term > option6357759511663192854e_term) > list_P1743416141875011707e_term).
0.99/1.19	thf(decl_133, type, list_update_int: list_int > nat > int > list_int).
0.99/1.19	thf(decl_134, type, list_u1995434435150319021nt_int: list_l1670014477004246597nt_int > nat > list_P5707943133018811711nt_int > list_l1670014477004246597nt_int).
0.99/1.19	thf(decl_135, type, list_u4780935413889332127nt_int: list_P8915022641806594461nt_int > nat > produc7773217078559923341nt_int > list_P8915022641806594461nt_int).
0.99/1.19	thf(decl_136, type, list_u7736365598306452245nt_int: list_P651320350408439699nt_int > nat > produc2285326912895808259nt_int > list_P651320350408439699nt_int).
0.99/1.19	thf(decl_137, type, list_u3002344382305578791nt_int: list_P5707943133018811711nt_int > nat > product_prod_int_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_138, type, list_u6063430246987531802nt_int: list_P6957225279449687320nt_int > nat > produc661532565036771336nt_int > list_P6957225279449687320nt_int).
0.99/1.19	thf(decl_139, type, list_u2293127992685227387nt_int: list_P7325284593498602387nt_int > nat > produc2007852851243229709nt_int > list_P7325284593498602387nt_int).
0.99/1.19	thf(decl_140, type, list_u8141495988615113863nt_int: list_s8839374986383574687nt_int > nat > set_Pr958786334691620121nt_int > list_s8839374986383574687nt_int).
0.99/1.19	thf(decl_141, type, measures_int: list_int_nat > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_142, type, product_lists_int: list_list_int > list_list_int).
0.99/1.19	thf(decl_143, type, produc5568053154996169768nt_int: list_l1670014477004246597nt_int > list_l1670014477004246597nt_int).
0.99/1.19	thf(decl_144, type, subseqs_int: list_int > list_list_int).
0.99/1.19	thf(decl_145, type, subseq1357044202310323342nt_int: list_P5707943133018811711nt_int > list_l1670014477004246597nt_int).
0.99/1.19	thf(decl_146, type, upto: int > int > list_int).
0.99/1.19	thf(decl_147, type, upto_aux: int > int > list_int > list_int).
0.99/1.19	thf(decl_148, type, zip_in8766932505889695135nt_int: list_i8448526496819171953e_term > list_P5707943133018811711nt_int > list_P8915022641806594461nt_int).
0.99/1.19	thf(decl_149, type, zip_Pr4168994715204986005nt_int: list_P1743416141875011707e_term > list_P5707943133018811711nt_int > list_P651320350408439699nt_int).
0.99/1.19	thf(decl_150, type, zip_int_int: list_int > list_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_151, type, zip_in8018307065301790106nt_int: list_int > list_l1670014477004246597nt_int > list_P6957225279449687320nt_int).
0.99/1.19	thf(decl_152, type, zip_in865470750896630164nt_int: list_int > list_P5707943133018811711nt_int > list_P8440714079264627474nt_int).
0.99/1.19	thf(decl_153, type, zip_Pr202163245418739566nt_int: list_P5707943133018811711nt_int > list_int > list_P3467955165070007716nt_int).
0.99/1.19	thf(decl_154, type, zip_Pr2148635498163357687nt_int: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P2336717926344734829nt_int).
0.99/1.19	thf(decl_155, type, zip_se7173776549480341789nt_int: list_s8839374986383574687nt_int > list_l1670014477004246597nt_int > list_P7325284593498602387nt_int).
0.99/1.19	thf(decl_156, type, semiri1314217659103216013at_int: nat > int).
0.99/1.19	thf(decl_157, type, semiri1316708129612266289at_nat: nat > nat).
0.99/1.19	thf(decl_158, type, size_s8881356780637927685e_term: list_i8448526496819171953e_term > nat).
0.99/1.19	thf(decl_159, type, size_s3817825649112772879e_term: list_P1743416141875011707e_term > nat).
0.99/1.19	thf(decl_160, type, size_size_list_int: list_int > nat).
0.99/1.19	thf(decl_161, type, size_s2969076144586574001nt_int: list_l1670014477004246597nt_int > nat).
0.99/1.19	thf(decl_162, type, size_s5157815400016825771nt_int: list_P5707943133018811711nt_int > nat).
0.99/1.19	thf(decl_163, type, size_s7141307186832570123nt_int: list_s8839374986383574687nt_int > nat).
0.99/1.19	thf(decl_164, type, size_size_num: num > nat).
0.99/1.19	thf(decl_165, type, neg_nu3811975205180677377ec_int: int > int).
0.99/1.19	thf(decl_166, type, neg_nu5851722552734809277nc_int: int > int).
0.99/1.19	thf(decl_167, type, neg_numeral_sub_int: num > num > int).
0.99/1.19	thf(decl_168, type, bit0: num > num).
0.99/1.19	thf(decl_169, type, bit1: num > num).
0.99/1.19	thf(decl_170, type, one: num).
0.99/1.19	thf(decl_171, type, numeral_numeral_int: num > int).
0.99/1.19	thf(decl_172, type, numeral_numeral_nat: num > nat).
0.99/1.19	thf(decl_173, type, ring_1_iszero_int: int > $o).
0.99/1.19	thf(decl_174, type, ord_less_int: int > int > $o).
0.99/1.19	thf(decl_175, type, ord_less_nat: nat > nat > $o).
0.99/1.19	thf(decl_176, type, ord_less_num: num > num > $o).
0.99/1.19	thf(decl_177, type, ord_le7563427860532173253nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o).
0.99/1.19	thf(decl_178, type, ord_less_eq_int: int > int > $o).
0.99/1.19	thf(decl_179, type, ord_less_eq_nat: nat > nat > $o).
0.99/1.19	thf(decl_180, type, ord_less_eq_num: num > num > $o).
0.99/1.19	thf(decl_181, type, ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o).
0.99/1.19	thf(decl_182, type, ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o).
0.99/1.19	thf(decl_183, type, ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o).
0.99/1.19	thf(decl_184, type, ord_le5985196928369334814nt_int: set_Pr1843331182504696254nt_int > set_Pr1843331182504696254nt_int > $o).
0.99/1.19	thf(decl_185, type, ord_le7621015491206151949nt_int: set_Pr2166573435379693421nt_int > set_Pr2166573435379693421nt_int > $o).
0.99/1.19	thf(decl_186, type, ord_min_nat: nat > nat > nat).
0.99/1.19	thf(decl_187, type, produc8618682346314911123st_int: (int > int > $o) > list_int > produc5834231552977413017st_int).
0.99/1.19	thf(decl_188, type, produc4305682042979456191nt_int: (int > option6357759511663192854e_term) > product_prod_int_int > produc7773217078559923341nt_int).
0.99/1.19	thf(decl_189, type, produc5700946648718959541nt_int: (produc8551481072490612790e_term > option6357759511663192854e_term) > product_prod_int_int > produc2285326912895808259nt_int).
0.99/1.19	thf(decl_190, type, produc3328129369365053992nt_int: (product_prod_int_int > product_prod_int_int > $o) > list_P5707943133018811711nt_int > produc1050408459402128056nt_int).
0.99/1.19	thf(decl_191, type, product_Pair_int_int: int > int > product_prod_int_int).
0.99/1.19	thf(decl_192, type, produc8814303788642274490nt_int: int > list_P5707943133018811711nt_int > produc661532565036771336nt_int).
0.99/1.19	thf(decl_193, type, produc346731203614136500nt_int: int > product_prod_int_int > produc759720530913461378nt_int).
0.99/1.19	thf(decl_194, type, produc364263696895485585st_int: list_int > list_int > produc1186641810826059865st_int).
0.99/1.19	thf(decl_195, type, produc8426000078211274772nt_int: list_P5707943133018811711nt_int > int > produc9058040638841796122nt_int).
0.99/1.19	thf(decl_196, type, produc1932183703851549015nt_int: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > produc1089560213143673063nt_int).
0.99/1.19	thf(decl_197, type, produc6607928864457938225nt_int: list_P5707943133018811711nt_int > set_Pr958786334691620121nt_int > produc209763426944172609nt_int).
0.99/1.19	thf(decl_198, type, produc8406175334058502835nt_int: produc7773217078559923341nt_int > produc7773217078559923341nt_int > produc2501202720802129403nt_int).
0.99/1.19	thf(decl_199, type, produc7601053194514725023nt_int: produc2285326912895808259nt_int > produc2285326912895808259nt_int > produc2432570611225516007nt_int).
0.99/1.19	thf(decl_200, type, produc7516973260301520963e_term: product_prod_int_int > (int > option6357759511663192854e_term) > produc3832618445565238089e_term).
0.99/1.19	thf(decl_201, type, produc5219906170222623181e_term: product_prod_int_int > (produc8551481072490612790e_term > option6357759511663192854e_term) > produc1821397396195235155e_term).
0.99/1.19	thf(decl_202, type, produc8906795734991021710nt_int: product_prod_int_int > int > produc6754623152930779156nt_int).
0.99/1.19	thf(decl_203, type, produc8677244595851196253nt_int: product_prod_int_int > list_P5707943133018811711nt_int > produc4058024888802116461nt_int).
0.99/1.19	thf(decl_204, type, produc3646306378393792727nt_int: product_prod_int_int > product_prod_int_int > produc1219242969750017639nt_int).
0.99/1.19	thf(decl_205, type, produc1418755309762820265nt_int: produc661532565036771336nt_int > produc661532565036771336nt_int > produc2223382658075010929nt_int).
0.99/1.19	thf(decl_206, type, produc2984385676348918743nt_int: produc2007852851243229709nt_int > produc2007852851243229709nt_int > produc1194773985048367975nt_int).
0.99/1.19	thf(decl_207, type, produc2261658324281137661nt_int: set_Pr958786334691620121nt_int > list_P5707943133018811711nt_int > produc2007852851243229709nt_int).
0.99/1.19	thf(decl_208, type, produc9098658269643458507_int_o: (produc7773217078559923341nt_int > $o) > (int > option6357759511663192854e_term) > product_prod_int_int > $o).
0.99/1.19	thf(decl_209, type, produc730925184835016917_int_o: (produc2285326912895808259nt_int > $o) > (produc8551481072490612790e_term > option6357759511663192854e_term) > product_prod_int_int > $o).
0.99/1.19	thf(decl_210, type, produc175634133007206835_int_o: (product_prod_int_int > $o) > int > int > $o).
0.99/1.19	thf(decl_211, type, produc5448946096399320464_int_o: (produc661532565036771336nt_int > $o) > int > list_P5707943133018811711nt_int > $o).
0.99/1.19	thf(decl_212, type, produc8584208757940376999_int_o: (produc2007852851243229709nt_int > $o) > set_Pr958786334691620121nt_int > list_P5707943133018811711nt_int > $o).
0.99/1.19	thf(decl_213, type, produc8399074013560602399nt_int: produc7773217078559923341nt_int > produc3832618445565238089e_term).
0.99/1.19	thf(decl_214, type, produc1841954058824580629nt_int: produc2285326912895808259nt_int > produc1821397396195235155e_term).
0.99/1.19	thf(decl_215, type, product_swap_int_int: product_prod_int_int > product_prod_int_int).
0.99/1.19	thf(decl_216, type, produc7607074237888448282nt_int: produc661532565036771336nt_int > produc9058040638841796122nt_int).
0.99/1.19	thf(decl_217, type, produc7218770527457448564nt_int: produc9058040638841796122nt_int > produc661532565036771336nt_int).
0.99/1.19	thf(decl_218, type, produc2855118561846567633nt_int: produc209763426944172609nt_int > produc2007852851243229709nt_int).
0.99/1.19	thf(decl_219, type, produc2386993194027891363e_term: produc3832618445565238089e_term > produc7773217078559923341nt_int).
0.99/1.19	thf(decl_220, type, produc1360913580328244269e_term: produc1821397396195235155e_term > produc2285326912895808259nt_int).
0.99/1.19	thf(decl_221, type, produc7732220058524542877nt_int: produc2007852851243229709nt_int > produc209763426944172609nt_int).
0.99/1.19	thf(decl_222, type, collect_int: (int > $o) > set_int).
0.99/1.19	thf(decl_223, type, collec213857154873943460nt_int: (product_prod_int_int > $o) > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_224, type, accp_P2804173024491580863nt_int: (produc661532565036771336nt_int > produc661532565036771336nt_int > $o) > produc661532565036771336nt_int > $o).
0.99/1.19	thf(decl_225, type, accp_P6701151336149146870nt_int: (produc4058024888802116461nt_int > produc4058024888802116461nt_int > $o) > produc4058024888802116461nt_int > $o).
0.99/1.19	thf(decl_226, type, same_f6662725367016992042nt_int: ((int > option6357759511663192854e_term) > $o) > ((int > option6357759511663192854e_term) > set_Pr2560585780119916871nt_int) > set_Pr8634505666381077339nt_int).
0.99/1.19	thf(decl_227, type, same_f5472592420709775776nt_int: ((produc8551481072490612790e_term > option6357759511663192854e_term) > $o) > ((produc8551481072490612790e_term > option6357759511663192854e_term) > set_Pr2560585780119916871nt_int) > set_Pr4708930517165415495nt_int).
0.99/1.19	thf(decl_228, type, same_fst_int_int: (int > $o) > (int > set_Pr958786334691620121nt_int) > set_Pr2560585780119916871nt_int).
0.99/1.19	thf(decl_229, type, same_f3003577036519843749nt_int: (int > $o) > (int > set_Pr6304946757569631943nt_int) > set_Pr5463530407906606289nt_int).
0.99/1.19	thf(decl_230, type, same_f6134620037419022674nt_int: (set_Pr958786334691620121nt_int > $o) > (set_Pr958786334691620121nt_int > set_Pr6304946757569631943nt_int) > set_Pr5936586179707691591nt_int).
0.99/1.19	thf(decl_231, type, member_int: int > set_int > $o).
0.99/1.19	thf(decl_232, type, member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o).
0.99/1.19	thf(decl_233, type, member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o).
0.99/1.19	thf(decl_234, type, member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o).
0.99/1.19	thf(decl_235, type, member3263328415308337823nt_int: produc661532565036771336nt_int > set_Pr1843331182504696254nt_int > $o).
0.99/1.19	thf(decl_236, type, member6698963635872716290st_int: produc1186641810826059865st_int > set_Pr765067013931698361st_int > $o).
0.99/1.19	thf(decl_237, type, member1390679175989562640nt_int: produc1089560213143673063nt_int > set_Pr6304946757569631943nt_int > $o).
0.99/1.19	thf(decl_238, type, member4085533954029916580nt_int: produc2501202720802129403nt_int > set_Pr8634505666381077339nt_int > $o).
0.99/1.19	thf(decl_239, type, member6582457606847315088nt_int: produc2432570611225516007nt_int > set_Pr4708930517165415495nt_int > $o).
0.99/1.19	thf(decl_240, type, member8566619992076573584nt_int: produc1219242969750017639nt_int > set_Pr2560585780119916871nt_int > $o).
0.99/1.19	thf(decl_241, type, member211307870107589146nt_int: produc2223382658075010929nt_int > set_Pr5463530407906606289nt_int > $o).
0.99/1.19	thf(decl_242, type, member6995388805977128080nt_int: produc1194773985048367975nt_int > set_Pr5936586179707691591nt_int > $o).
0.99/1.19	thf(decl_243, type, member6077610525077772982nt_int: produc2007852851243229709nt_int > set_Pr2166573435379693421nt_int > $o).
0.99/1.19	thf(decl_244, type, i_h: int).
0.99/1.19	thf(decl_245, type, i_l: int).
0.99/1.19	thf(decl_246, type, j_h: int).
0.99/1.19	thf(decl_247, type, j_l: int).
0.99/1.19	thf(decl_248, type, m_1: nat).
0.99/1.19	thf(decl_249, type, m_2: nat).
0.99/1.19	thf(decl_250, type, n: nat).
0.99/1.19	thf(decl_251, type, ps_1: list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_252, type, ps_2: list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_253, type, s_i: product_prod_int_int).
0.99/1.19	thf(decl_254, type, s_j: product_prod_int_int).
0.99/1.19	thf(decl_255, type, esk1_1: product_prod_int_int > int).
0.99/1.19	thf(decl_256, type, esk2_1: product_prod_int_int > int).
0.99/1.19	thf(decl_257, type, esk3_1: product_prod_int_int > int).
0.99/1.19	thf(decl_258, type, esk4_1: product_prod_int_int > int).
0.99/1.19	thf(decl_259, type, esk5_1: product_prod_int_int > int).
0.99/1.19	thf(decl_260, type, esk6_1: product_prod_int_int > int).
0.99/1.19	thf(decl_261, type, esk7_1: (product_prod_int_int > $o) > int).
0.99/1.19	thf(decl_262, type, esk8_1: (product_prod_int_int > $o) > int).
0.99/1.19	thf(decl_263, type, esk9_15: nat > nat > list_P5707943133018811711nt_int > nat > list_P5707943133018811711nt_int > product_prod_int_int > product_prod_int_int > int > int > int > int > int > int > int > int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_264, type, esk10_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_265, type, esk11_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_266, type, esk12_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_267, type, esk13_3: int > int > (int > $o) > int).
0.99/1.19	thf(decl_268, type, esk14_3: int > int > (int > $o) > int).
0.99/1.19	thf(decl_269, type, esk15_2: (int > $o) > int > int).
0.99/1.19	thf(decl_270, type, esk16_2: (int > $o) > int > int).
0.99/1.19	thf(decl_271, type, esk17_1: int > nat).
0.99/1.19	thf(decl_272, type, esk18_1: int > nat).
0.99/1.19	thf(decl_273, type, esk19_1: int > nat).
0.99/1.19	thf(decl_274, type, esk20_1: int > nat).
0.99/1.19	thf(decl_275, type, esk21_1: int > nat).
0.99/1.19	thf(decl_276, type, esk22_1: int > nat).
0.99/1.19	thf(decl_277, type, esk23_1: int > nat).
0.99/1.19	thf(decl_278, type, esk24_1: int > nat).
0.99/1.19	thf(decl_279, type, esk25_1: int > nat).
0.99/1.19	thf(decl_280, type, esk26_1: int > nat).
0.99/1.19	thf(decl_281, type, esk27_1: int > nat).
0.99/1.19	thf(decl_282, type, esk28_1: int > nat).
0.99/1.19	thf(decl_283, type, esk29_1: int > nat).
0.99/1.19	thf(decl_284, type, esk30_2: (nat > $o) > int > nat).
0.99/1.19	thf(decl_285, type, esk31_4: set_Pr958786334691620121nt_int > list_P5707943133018811711nt_int > nat > product_prod_int_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_286, type, esk32_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_287, type, esk33_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_288, type, esk34_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_289, type, esk35_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_290, type, esk36_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_291, type, esk37_1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_292, type, esk38_1: list_int > int).
0.99/1.19	thf(decl_293, type, esk39_1: list_int > int).
0.99/1.19	thf(decl_294, type, esk40_1: list_int > list_int).
0.99/1.19	thf(decl_295, type, esk41_1: (list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_296, type, esk42_1: nat > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_297, type, esk43_3: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_298, type, esk44_3: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_299, type, esk45_3: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_300, type, esk46_3: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_301, type, esk47_3: list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_302, type, esk48_3: list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_303, type, esk49_3: list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_int > $o) > int).
0.99/1.19	thf(decl_304, type, esk50_3: list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_305, type, esk51_3: list_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > $o) > int).
0.99/1.19	thf(decl_306, type, esk52_3: list_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > $o) > list_int).
0.99/1.19	thf(decl_307, type, esk53_3: list_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_308, type, esk54_3: list_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_309, type, esk55_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_310, type, esk56_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_311, type, esk57_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_312, type, esk58_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_313, type, esk59_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_314, type, esk60_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_315, type, esk61_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_316, type, esk62_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_317, type, esk63_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_318, type, esk64_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_319, type, esk65_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > $o) > int).
0.99/1.19	thf(decl_320, type, esk66_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_321, type, esk67_4: list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_322, type, esk68_4: list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_323, type, esk69_4: list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > $o) > int).
0.99/1.19	thf(decl_324, type, esk70_4: list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > $o) > list_int).
0.99/1.19	thf(decl_325, type, esk71_4: list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_326, type, esk72_4: list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > list_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_327, type, esk73_4: list_P5707943133018811711nt_int > list_int > list_int > (list_P5707943133018811711nt_int > list_int > list_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_328, type, esk74_4: list_P5707943133018811711nt_int > list_int > list_int > (list_P5707943133018811711nt_int > list_int > list_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_329, type, esk75_4: list_P5707943133018811711nt_int > list_int > list_int > (list_P5707943133018811711nt_int > list_int > list_int > $o) > int).
0.99/1.19	thf(decl_330, type, esk76_4: list_P5707943133018811711nt_int > list_int > list_int > (list_P5707943133018811711nt_int > list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_331, type, esk77_4: list_P5707943133018811711nt_int > list_int > list_int > (list_P5707943133018811711nt_int > list_int > list_int > $o) > int).
0.99/1.19	thf(decl_332, type, esk78_4: list_P5707943133018811711nt_int > list_int > list_int > (list_P5707943133018811711nt_int > list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_333, type, esk79_4: list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > int).
0.99/1.19	thf(decl_334, type, esk80_4: list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_int).
0.99/1.19	thf(decl_335, type, esk81_4: list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_336, type, esk82_4: list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_337, type, esk83_4: list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_338, type, esk84_4: list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > (list_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_339, type, esk85_4: list_int > list_P5707943133018811711nt_int > list_int > (list_int > list_P5707943133018811711nt_int > list_int > $o) > int).
0.99/1.19	thf(decl_340, type, esk86_4: list_int > list_P5707943133018811711nt_int > list_int > (list_int > list_P5707943133018811711nt_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_341, type, esk87_4: list_int > list_P5707943133018811711nt_int > list_int > (list_int > list_P5707943133018811711nt_int > list_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_342, type, esk88_4: list_int > list_P5707943133018811711nt_int > list_int > (list_int > list_P5707943133018811711nt_int > list_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_343, type, esk89_4: list_int > list_P5707943133018811711nt_int > list_int > (list_int > list_P5707943133018811711nt_int > list_int > $o) > int).
0.99/1.19	thf(decl_344, type, esk90_4: list_int > list_P5707943133018811711nt_int > list_int > (list_int > list_P5707943133018811711nt_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_345, type, esk91_4: list_int > list_int > list_P5707943133018811711nt_int > (list_int > list_int > list_P5707943133018811711nt_int > $o) > int).
0.99/1.19	thf(decl_346, type, esk92_4: list_int > list_int > list_P5707943133018811711nt_int > (list_int > list_int > list_P5707943133018811711nt_int > $o) > list_int).
0.99/1.19	thf(decl_347, type, esk93_4: list_int > list_int > list_P5707943133018811711nt_int > (list_int > list_int > list_P5707943133018811711nt_int > $o) > int).
0.99/1.19	thf(decl_348, type, esk94_4: list_int > list_int > list_P5707943133018811711nt_int > (list_int > list_int > list_P5707943133018811711nt_int > $o) > list_int).
0.99/1.19	thf(decl_349, type, esk95_4: list_int > list_int > list_P5707943133018811711nt_int > (list_int > list_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_350, type, esk96_4: list_int > list_int > list_P5707943133018811711nt_int > (list_int > list_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_351, type, esk97_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_352, type, esk98_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_353, type, esk99_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_354, type, esk100_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_355, type, esk101_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_356, type, esk102_2: nat > nat > nat).
0.99/1.19	thf(decl_357, type, esk103_2: nat > nat > nat).
0.99/1.19	thf(decl_358, type, esk104_1: (nat > nat) > nat).
0.99/1.19	thf(decl_359, type, esk105_1: (nat > nat) > nat).
0.99/1.19	thf(decl_360, type, esk106_2: nat > nat > nat).
0.99/1.19	thf(decl_361, type, esk107_3: (nat > $o) > nat > nat > nat).
0.99/1.19	thf(decl_362, type, esk108_3: (nat > $o) > nat > nat > nat).
0.99/1.19	thf(decl_363, type, esk109_3: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_364, type, esk110_3: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_365, type, esk111_3: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_366, type, esk112_3: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_367, type, esk113_3: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_368, type, esk114_3: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_369, type, esk115_3: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_370, type, esk116_2: list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_371, type, esk117_2: list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_372, type, esk118_2: list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_373, type, esk119_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_374, type, esk120_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_375, type, esk121_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_376, type, esk122_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_377, type, esk123_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_378, type, esk124_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_379, type, esk125_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_380, type, esk126_1: (list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_381, type, esk127_1: (list_P5707943133018811711nt_int > list_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_382, type, esk128_1: (list_P5707943133018811711nt_int > list_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_383, type, esk129_1: (list_P5707943133018811711nt_int > list_int > $o) > int).
0.99/1.19	thf(decl_384, type, esk130_1: (list_P5707943133018811711nt_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_385, type, esk131_1: (list_P5707943133018811711nt_int > list_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_386, type, esk132_1: (list_P5707943133018811711nt_int > list_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_387, type, esk133_1: (list_P5707943133018811711nt_int > list_int > $o) > int).
0.99/1.19	thf(decl_388, type, esk134_1: (list_P5707943133018811711nt_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_389, type, esk135_1: (list_int > list_P5707943133018811711nt_int > $o) > int).
0.99/1.19	thf(decl_390, type, esk136_1: (list_int > list_P5707943133018811711nt_int > $o) > list_int).
0.99/1.19	thf(decl_391, type, esk137_1: (list_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_392, type, esk138_1: (list_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_393, type, esk139_1: (list_int > list_P5707943133018811711nt_int > $o) > int).
0.99/1.19	thf(decl_394, type, esk140_1: (list_int > list_P5707943133018811711nt_int > $o) > list_int).
0.99/1.19	thf(decl_395, type, esk141_1: (list_int > list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_396, type, esk142_1: (list_int > list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_397, type, esk143_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_398, type, esk144_1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_399, type, esk145_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_400, type, esk146_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_401, type, esk147_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_402, type, esk148_1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_403, type, esk149_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_404, type, esk150_1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_405, type, esk151_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_406, type, esk152_1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_407, type, esk153_2: list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_408, type, esk154_2: list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_409, type, esk155_2: list_P5707943133018811711nt_int > (list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_410, type, esk156_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_411, type, esk157_4: product_prod_int_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_412, type, esk158_1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_413, type, esk159_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_414, type, esk160_1: (list_P5707943133018811711nt_int > $o) > product_prod_int_int).
0.99/1.19	thf(decl_415, type, esk161_1: (list_P5707943133018811711nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_416, type, esk162_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_417, type, esk163_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_418, type, esk164_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_419, type, esk165_4: list_int > list_int > product_prod_int_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_420, type, esk166_4: list_int > list_int > product_prod_int_int > list_P5707943133018811711nt_int > list_int).
0.99/1.19	thf(decl_421, type, esk167_4: list_int > list_int > product_prod_int_int > list_P5707943133018811711nt_int > int).
0.99/1.19	thf(decl_422, type, esk168_4: list_int > list_int > product_prod_int_int > list_P5707943133018811711nt_int > list_int).
0.99/1.19	thf(decl_423, type, esk169_1: (list_int > $o) > list_int).
0.99/1.19	thf(decl_424, type, esk170_1: nat > list_int).
0.99/1.19	thf(decl_425, type, esk171_3: list_int > list_int > (list_int > list_int > $o) > int).
0.99/1.19	thf(decl_426, type, esk172_3: list_int > list_int > (list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_427, type, esk173_3: list_int > list_int > (list_int > list_int > $o) > int).
0.99/1.19	thf(decl_428, type, esk174_3: list_int > list_int > (list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_429, type, esk175_4: list_int > list_int > list_int > (list_int > list_int > list_int > $o) > int).
0.99/1.19	thf(decl_430, type, esk176_4: list_int > list_int > list_int > (list_int > list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_431, type, esk177_4: list_int > list_int > list_int > (list_int > list_int > list_int > $o) > int).
0.99/1.19	thf(decl_432, type, esk178_4: list_int > list_int > list_int > (list_int > list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_433, type, esk179_4: list_int > list_int > list_int > (list_int > list_int > list_int > $o) > int).
0.99/1.19	thf(decl_434, type, esk180_4: list_int > list_int > list_int > (list_int > list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_435, type, esk181_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_436, type, esk182_2: list_int > list_int > int).
0.99/1.19	thf(decl_437, type, esk183_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_438, type, esk184_2: list_int > list_int > int).
0.99/1.19	thf(decl_439, type, esk185_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_440, type, esk186_2: list_int > (list_int > $o) > int).
0.99/1.19	thf(decl_441, type, esk187_2: list_int > (list_int > $o) > int).
0.99/1.19	thf(decl_442, type, esk188_2: list_int > (list_int > $o) > list_int).
0.99/1.19	thf(decl_443, type, esk189_1: (list_int > list_int > $o) > int).
0.99/1.19	thf(decl_444, type, esk190_1: (list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_445, type, esk191_1: (list_int > list_int > $o) > int).
0.99/1.19	thf(decl_446, type, esk192_1: (list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_447, type, esk193_1: (list_int > list_int > $o) > int).
0.99/1.19	thf(decl_448, type, esk194_1: (list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_449, type, esk195_1: (list_int > list_int > $o) > int).
0.99/1.19	thf(decl_450, type, esk196_1: (list_int > list_int > $o) > list_int).
0.99/1.19	thf(decl_451, type, esk197_1: list_int > int).
0.99/1.19	thf(decl_452, type, esk198_1: list_int > list_int).
0.99/1.19	thf(decl_453, type, esk199_1: list_int > int).
0.99/1.19	thf(decl_454, type, esk200_1: list_int > int).
0.99/1.19	thf(decl_455, type, esk201_1: list_int > int).
0.99/1.19	thf(decl_456, type, esk202_1: list_int > list_int).
0.99/1.19	thf(decl_457, type, esk203_1: list_int > int).
0.99/1.19	thf(decl_458, type, esk204_1: list_int > list_int).
0.99/1.19	thf(decl_459, type, esk205_1: list_int > int).
0.99/1.19	thf(decl_460, type, esk206_1: list_int > list_int).
0.99/1.19	thf(decl_461, type, esk207_2: list_int > (list_int > $o) > int).
0.99/1.19	thf(decl_462, type, esk208_2: list_int > (list_int > $o) > int).
0.99/1.19	thf(decl_463, type, esk209_2: list_int > (list_int > $o) > list_int).
0.99/1.19	thf(decl_464, type, esk210_4: list_int > list_int > int > list_int > list_int).
0.99/1.19	thf(decl_465, type, esk211_4: int > list_int > list_int > list_int > list_int).
0.99/1.19	thf(decl_466, type, esk212_1: list_int > list_int).
0.99/1.19	thf(decl_467, type, esk213_1: list_int > int).
0.99/1.19	thf(decl_468, type, esk214_1: (list_int > $o) > int).
0.99/1.19	thf(decl_469, type, esk215_1: (list_int > $o) > list_int).
0.99/1.19	thf(decl_470, type, esk216_1: (nat > $o) > nat).
0.99/1.19	thf(decl_471, type, esk217_1: (nat > $o) > nat).
0.99/1.19	thf(decl_472, type, esk218_1: (nat > nat) > nat).
0.99/1.19	thf(decl_473, type, esk219_1: (nat > nat) > nat).
0.99/1.19	thf(decl_474, type, esk220_2: nat > (nat > $o) > nat).
0.99/1.19	thf(decl_475, type, esk221_2: nat > (nat > $o) > nat).
0.99/1.19	thf(decl_476, type, esk222_1: nat > nat).
0.99/1.19	thf(decl_477, type, esk223_3: (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_478, type, esk224_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_479, type, esk225_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.99/1.19	thf(decl_480, type, esk226_3: (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_481, type, esk227_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_482, type, esk228_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.99/1.19	thf(decl_483, type, esk229_1: nat > nat).
0.99/1.19	thf(decl_484, type, esk230_1: nat > nat).
0.99/1.19	thf(decl_485, type, esk231_1: nat > nat).
0.99/1.19	thf(decl_486, type, esk232_1: nat > nat).
0.99/1.19	thf(decl_487, type, esk233_3: (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_488, type, esk234_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_489, type, esk235_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.99/1.19	thf(decl_490, type, esk236_3: (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_491, type, esk237_5: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat > nat).
0.99/1.19	thf(decl_492, type, esk238_4: (nat > $o) > (nat > $o) > (nat > $o) > (nat > $o) > nat).
0.99/1.19	thf(decl_493, type, esk239_1: nat > nat).
0.99/1.19	thf(decl_494, type, esk240_1: nat > nat).
0.99/1.19	thf(decl_495, type, esk241_1: nat > nat).
0.99/1.19	thf(decl_496, type, esk242_1: nat > nat).
0.99/1.19	thf(decl_497, type, esk243_1: nat > nat).
0.99/1.19	thf(decl_498, type, esk244_1: nat > nat).
0.99/1.19	thf(decl_499, type, esk245_1: nat > nat).
0.99/1.19	thf(decl_500, type, esk246_4: nat > nat > (nat > int) > int > nat).
0.99/1.19	thf(decl_501, type, esk247_4: nat > nat > (nat > int) > int > nat).
0.99/1.19	thf(decl_502, type, esk248_4: nat > nat > (nat > nat) > nat > nat).
0.99/1.19	thf(decl_503, type, esk249_4: nat > nat > (nat > nat) > nat > nat).
0.99/1.19	thf(decl_504, type, esk250_4: int > int > (int > nat) > nat > int).
0.99/1.19	thf(decl_505, type, esk251_4: int > int > (int > nat) > nat > int).
0.99/1.19	thf(decl_506, type, esk252_1: nat > nat).
0.99/1.19	thf(decl_507, type, esk253_1: (nat > $o) > nat).
0.99/1.19	thf(decl_508, type, esk254_1: (nat > nat > $o) > nat).
0.99/1.19	thf(decl_509, type, esk255_1: (nat > nat > $o) > nat).
0.99/1.19	thf(decl_510, type, esk256_1: (nat > nat > $o) > nat).
0.99/1.19	thf(decl_511, type, esk257_1: (nat > nat > $o) > nat).
0.99/1.19	thf(decl_512, type, esk258_1: (nat > nat > $o) > nat).
0.99/1.19	thf(decl_513, type, esk259_4: nat > (nat > nat) > nat > nat > nat).
0.99/1.19	thf(decl_514, type, esk260_4: nat > (nat > nat) > nat > nat > nat).
0.99/1.19	thf(decl_515, type, esk261_4: int > (nat > int) > nat > nat > nat).
0.99/1.19	thf(decl_516, type, esk262_4: int > (nat > int) > nat > nat > nat).
0.99/1.19	thf(decl_517, type, esk263_4: nat > (int > nat) > int > int > int).
0.99/1.19	thf(decl_518, type, esk264_4: nat > (int > nat) > int > int > int).
0.99/1.19	thf(decl_519, type, esk265_4: nat > nat > (nat > nat) > nat > nat).
0.99/1.19	thf(decl_520, type, esk266_4: nat > nat > (nat > nat) > nat > nat).
0.99/1.19	thf(decl_521, type, esk267_4: nat > nat > (nat > int) > int > nat).
0.99/1.19	thf(decl_522, type, esk268_4: nat > nat > (nat > int) > int > nat).
0.99/1.19	thf(decl_523, type, esk269_4: int > int > (int > nat) > nat > int).
0.99/1.19	thf(decl_524, type, esk270_4: int > int > (int > nat) > nat > int).
0.99/1.19	thf(decl_525, type, esk271_4: nat > (nat > nat) > nat > nat > nat).
0.99/1.19	thf(decl_526, type, esk272_4: nat > (nat > nat) > nat > nat > nat).
0.99/1.19	thf(decl_527, type, esk273_4: nat > (int > nat) > int > int > int).
0.99/1.19	thf(decl_528, type, esk274_4: nat > (int > nat) > int > int > int).
0.99/1.19	thf(decl_529, type, esk275_4: int > (nat > int) > nat > nat > nat).
0.99/1.19	thf(decl_530, type, esk276_4: int > (nat > int) > nat > nat > nat).
0.99/1.19	thf(decl_531, type, esk277_4: nat > nat > (nat > nat) > nat > nat).
0.99/1.19	thf(decl_532, type, esk278_4: nat > nat > (nat > nat) > nat > nat).
0.99/1.19	thf(decl_533, type, esk279_4: nat > nat > (nat > int) > int > nat).
0.99/1.19	thf(decl_534, type, esk280_4: nat > nat > (nat > int) > int > nat).
0.99/1.19	thf(decl_535, type, esk281_4: int > int > (int > nat) > nat > int).
0.99/1.19	thf(decl_536, type, esk282_4: int > int > (int > nat) > nat > int).
0.99/1.19	thf(decl_537, type, esk283_4: int > (nat > int) > nat > nat > nat).
0.99/1.19	thf(decl_538, type, esk284_4: int > (nat > int) > nat > nat > nat).
0.99/1.19	thf(decl_539, type, esk285_4: nat > (nat > nat) > nat > nat > nat).
0.99/1.19	thf(decl_540, type, esk286_4: nat > (nat > nat) > nat > nat > nat).
0.99/1.19	thf(decl_541, type, esk287_4: nat > (int > nat) > int > int > int).
0.99/1.19	thf(decl_542, type, esk288_4: nat > (int > nat) > int > int > int).
0.99/1.19	thf(decl_543, type, esk289_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_544, type, esk290_4: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_545, type, esk291_2: nat > nat > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_546, type, esk292_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_547, type, esk293_2: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_548, type, esk294_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_549, type, esk295_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_550, type, esk296_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_551, type, esk297_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_552, type, esk298_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_553, type, esk299_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_554, type, esk300_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_555, type, esk301_3: int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_556, type, esk302_1: num > num).
0.99/1.19	thf(decl_557, type, esk303_1: num > num).
0.99/1.19	thf(decl_558, type, esk304_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_559, type, esk305_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_560, type, esk306_1: list_P5707943133018811711nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_561, type, esk307_1: list_P5707943133018811711nt_int > product_prod_int_int).
0.99/1.19	thf(decl_562, type, esk308_1: list_int > int).
0.99/1.19	thf(decl_563, type, esk309_1: list_int > int).
0.99/1.19	thf(decl_564, type, esk310_1: list_int > list_int).
0.99/1.19	thf(decl_565, type, esk311_1: list_int > int).
0.99/1.19	thf(decl_566, type, esk312_3: int > int > (int > $o) > int).
0.99/1.19	thf(decl_567, type, esk313_1: int > int).
0.99/1.19	thf(decl_568, type, esk314_3: (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_569, type, esk315_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_570, type, esk316_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.99/1.19	thf(decl_571, type, esk317_3: (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_572, type, esk318_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_573, type, esk319_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.99/1.19	thf(decl_574, type, esk320_1: int > int).
0.99/1.19	thf(decl_575, type, esk321_1: int > int).
0.99/1.19	thf(decl_576, type, esk322_1: int > int).
0.99/1.19	thf(decl_577, type, esk323_1: int > int).
0.99/1.19	thf(decl_578, type, esk324_3: (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_579, type, esk325_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_580, type, esk326_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.99/1.19	thf(decl_581, type, esk327_3: (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_582, type, esk328_5: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int > int).
0.99/1.19	thf(decl_583, type, esk329_4: (int > $o) > (int > $o) > (int > $o) > (int > $o) > int).
0.99/1.19	thf(decl_584, type, esk330_1: int > int).
0.99/1.19	thf(decl_585, type, esk331_1: int > int).
0.99/1.19	thf(decl_586, type, esk332_1: int > int).
0.99/1.19	thf(decl_587, type, esk333_1: int > int).
0.99/1.19	thf(decl_588, type, esk334_1: int > int).
0.99/1.19	thf(decl_589, type, esk335_1: int > int).
0.99/1.19	thf(decl_590, type, esk336_1: int > int).
0.99/1.19	thf(decl_591, type, esk337_4: int > int > (int > int) > int > int).
0.99/1.19	thf(decl_592, type, esk338_4: int > int > (int > int) > int > int).
0.99/1.19	thf(decl_593, type, esk339_1: int > int).
0.99/1.19	thf(decl_594, type, esk340_1: int > int).
0.99/1.19	thf(decl_595, type, esk341_1: (int > int > $o) > int).
0.99/1.19	thf(decl_596, type, esk342_1: (int > int > $o) > int).
0.99/1.19	thf(decl_597, type, esk343_1: (int > int > $o) > int).
0.99/1.19	thf(decl_598, type, esk344_1: (int > int > $o) > int).
0.99/1.19	thf(decl_599, type, esk345_1: (int > int > $o) > int).
0.99/1.19	thf(decl_600, type, esk346_4: int > (int > int) > int > int > int).
0.99/1.19	thf(decl_601, type, esk347_4: int > (int > int) > int > int > int).
0.99/1.19	thf(decl_602, type, esk348_4: int > int > (int > int) > int > int).
0.99/1.19	thf(decl_603, type, esk349_4: int > int > (int > int) > int > int).
0.99/1.19	thf(decl_604, type, esk350_4: int > (int > int) > int > int > int).
0.99/1.19	thf(decl_605, type, esk351_4: int > (int > int) > int > int > int).
0.99/1.19	thf(decl_606, type, esk352_4: int > int > (int > int) > int > int).
0.99/1.19	thf(decl_607, type, esk353_4: int > int > (int > int) > int > int).
0.99/1.19	thf(decl_608, type, esk354_4: int > (int > int) > int > int > int).
0.99/1.19	thf(decl_609, type, esk355_4: int > (int > int) > int > int > int).
0.99/1.19	thf(decl_610, type, esk356_3: int > int > (int > $o) > int).
0.99/1.19	thf(decl_611, type, esk357_4: num > num > (num > int) > int > num).
0.99/1.19	thf(decl_612, type, esk358_4: num > num > (num > int) > int > num).
0.99/1.19	thf(decl_613, type, esk359_2: (nat > $o) > nat > nat).
0.99/1.19	thf(decl_614, type, esk360_1: (nat > $o) > nat).
0.99/1.19	thf(decl_615, type, esk361_2: (nat > $o) > nat > nat).
0.99/1.19	thf(decl_616, type, esk362_1: (nat > $o) > nat).
0.99/1.19	thf(decl_617, type, esk363_4: num > num > (num > nat) > nat > num).
0.99/1.19	thf(decl_618, type, esk364_4: num > num > (num > nat) > nat > num).
0.99/1.19	thf(decl_619, type, esk365_2: (nat > $o) > nat > nat).
0.99/1.19	thf(decl_620, type, esk366_1: (nat > $o) > nat).
0.99/1.19	thf(decl_621, type, esk367_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_622, type, esk368_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_623, type, esk369_2: list_int > list_int > list_int).
0.99/1.19	thf(decl_624, type, esk370_1: num > num).
0.99/1.19	thf(decl_625, type, esk371_1: num > num).
0.99/1.19	thf(decl_626, type, esk372_1: num > num).
0.99/1.19	thf(decl_627, type, esk373_1: num > num).
0.99/1.19	thf(decl_628, type, esk374_4: nat > nat > (nat > num) > num > nat).
0.99/1.19	thf(decl_629, type, esk375_4: nat > nat > (nat > num) > num > nat).
0.99/1.19	thf(decl_630, type, esk376_4: int > int > (int > num) > num > int).
0.99/1.19	thf(decl_631, type, esk377_4: int > int > (int > num) > num > int).
0.99/1.19	thf(decl_632, type, esk378_4: num > (nat > num) > nat > nat > nat).
0.99/1.19	thf(decl_633, type, esk379_4: num > (nat > num) > nat > nat > nat).
0.99/1.19	thf(decl_634, type, esk380_4: num > (int > num) > int > int > int).
0.99/1.19	thf(decl_635, type, esk381_4: num > (int > num) > int > int > int).
0.99/1.19	thf(decl_636, type, esk382_4: num > num > (num > num) > num > num).
0.99/1.19	thf(decl_637, type, esk383_4: num > num > (num > num) > num > num).
0.99/1.19	thf(decl_638, type, esk384_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > num) > num > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_639, type, esk385_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > num) > num > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_640, type, esk386_4: num > num > (num > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > num).
0.99/1.19	thf(decl_641, type, esk387_4: num > num > (num > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > num).
0.99/1.19	thf(decl_642, type, esk388_2: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int).
0.99/1.19	thf(decl_643, type, esk389_2: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int).
0.99/1.19	thf(decl_644, type, esk390_4: nat > nat > (nat > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > nat).
0.99/1.19	thf(decl_645, type, esk391_4: nat > nat > (nat > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > nat).
0.99/1.19	thf(decl_646, type, esk392_4: int > int > (int > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > int).
0.99/1.19	thf(decl_647, type, esk393_4: int > int > (int > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > int).
0.99/1.19	thf(decl_648, type, esk394_4: set_Pr958786334691620121nt_int > (nat > set_Pr958786334691620121nt_int) > nat > nat > nat).
0.99/1.19	thf(decl_649, type, esk395_4: set_Pr958786334691620121nt_int > (nat > set_Pr958786334691620121nt_int) > nat > nat > nat).
0.99/1.19	thf(decl_650, type, esk396_4: set_Pr958786334691620121nt_int > (int > set_Pr958786334691620121nt_int) > int > int > int).
0.99/1.19	thf(decl_651, type, esk397_4: set_Pr958786334691620121nt_int > (int > set_Pr958786334691620121nt_int) > int > int > int).
0.99/1.19	thf(decl_652, type, esk398_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > int) > int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_653, type, esk399_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > int) > int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_654, type, esk400_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > nat) > nat > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_655, type, esk401_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > nat) > nat > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_656, type, esk402_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_657, type, esk403_4: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > (set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int) > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int).
0.99/1.19	thf(decl_658, type, esk404_4: list_int > list_int > list_int > list_int > list_int).
0.99/1.19	thf(decl_659, type, esk405_4: list_int > list_int > list_int > list_int > list_int).
0.99/1.19	thf(decl_660, type, esk406_1: set_Pr958786334691620121nt_int > int).
0.99/1.19	thf(decl_661, type, esk407_1: set_Pr958786334691620121nt_int > int).
0.99/1.19	thf(decl_662, type, esk408_1: set_Pr958786334691620121nt_int > int).
0.99/1.19	thf(decl_663, type, esk409_1: produc661532565036771336nt_int > int).
0.99/1.19	thf(decl_664, type, esk410_1: produc661532565036771336nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_665, type, esk411_1: produc661532565036771336nt_int > int).
0.99/1.19	thf(decl_666, type, esk412_1: produc661532565036771336nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_667, type, esk413_1: (produc661532565036771336nt_int > $o) > int).
0.99/1.19	thf(decl_668, type, esk414_1: (produc661532565036771336nt_int > $o) > list_P5707943133018811711nt_int).
0.99/1.19	thf(decl_669, type, esk415_1: produc661532565036771336nt_int > int).
0.99/1.19	thf(decl_670, type, esk416_1: produc661532565036771336nt_int > int).
0.99/1.19	thf(decl_671, type, esk417_1: produc661532565036771336nt_int > product_prod_int_int).
0.99/1.19	thf(decl_672, type, esk418_1: produc661532565036771336nt_int > list_P5707943133018811711nt_int).
0.99/1.19	thf(conj_0, conjecture, ((product_Pair_int_int @ i_h @ j_h)=(product_Pair_int_int @ i_l @ j_l)), file('/export/starexec/sandbox2/tmp/tmp.xpgi7xgAVg/Vampire---4.8_20961', conj_0)).
0.99/1.19	thf(fact_0_assms_I5_J, axiom, ((last_P3305686521732843992nt_int @ ps_2)=(product_Pair_int_int @ i_l @ j_l)), file('/export/starexec/sandbox2/tmp/tmp.xpgi7xgAVg/Vampire---4.8_20961', fact_0_assms_I5_J)).
0.99/1.19	thf(fact_1_assms_I4_J, axiom, ((hd_Pro282112905867057956nt_int @ ps_2)=(product_Pair_int_int @ i_h @ j_h)), file('/export/starexec/sandbox2/tmp/tmp.xpgi7xgAVg/Vampire---4.8_20961', fact_1_assms_I4_J)).
0.99/1.19	thf(fact_39_len1__hd__last, axiom, ![X117:list_P5707943133018811711nt_int]:((((size_s5157815400016825771nt_int @ X117)=(one_one_nat))=>((hd_Pro282112905867057956nt_int @ X117)=(last_P3305686521732843992nt_int @ X117)))), file('/export/starexec/sandbox2/tmp/tmp.xpgi7xgAVg/Vampire---4.8_20961', fact_39_len1__hd__last)).
0.99/1.19	thf(fact_35__092_060open_062length_Aps_092_060_094sub_0622_A_061_A1_092_060close_062, axiom, ((size_s5157815400016825771nt_int @ ps_2)=(one_one_nat)), file('/export/starexec/sandbox2/tmp/tmp.xpgi7xgAVg/Vampire---4.8_20961', fact_35__092_060open_062length_Aps_092_060_094sub_0622_A_061_A1_092_060close_062)).
0.99/1.19	thf(c_0_5, negated_conjecture, ((product_Pair_int_int @ i_h @ j_h)!=(product_Pair_int_int @ i_l @ j_l)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
0.99/1.19	thf(c_0_6, negated_conjecture, ((product_Pair_int_int @ i_h @ j_h)!=(product_Pair_int_int @ i_l @ j_l)), inference(split_conjunct,[status(thm)],[c_0_5])).
0.99/1.19	thf(c_0_7, plain, ((last_P3305686521732843992nt_int @ ps_2)=(product_Pair_int_int @ i_l @ j_l)), inference(split_conjunct,[status(thm)],[fact_0_assms_I5_J])).
0.99/1.19	thf(c_0_8, negated_conjecture, ((product_Pair_int_int @ i_h @ j_h)!=(last_P3305686521732843992nt_int @ ps_2)), inference(rw,[status(thm)],[c_0_6, c_0_7])).
0.99/1.19	thf(c_0_9, plain, ((hd_Pro282112905867057956nt_int @ ps_2)=(product_Pair_int_int @ i_h @ j_h)), inference(split_conjunct,[status(thm)],[fact_1_assms_I4_J])).
0.99/1.19	thf(c_0_10, plain, ![X5224:list_P5707943133018811711nt_int]:((((size_s5157815400016825771nt_int @ X5224)!=(one_one_nat))|((hd_Pro282112905867057956nt_int @ X5224)=(last_P3305686521732843992nt_int @ X5224)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_39_len1__hd__last])])).
0.99/1.19	thf(c_0_11, negated_conjecture, ((hd_Pro282112905867057956nt_int @ ps_2)!=(last_P3305686521732843992nt_int @ ps_2)), inference(rw,[status(thm)],[c_0_8, c_0_9])).
0.99/1.19	thf(c_0_12, plain, ![X2:list_P5707943133018811711nt_int]:((((hd_Pro282112905867057956nt_int @ X2)=(last_P3305686521732843992nt_int @ X2))|((size_s5157815400016825771nt_int @ X2)!=(one_one_nat)))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.99/1.19	thf(c_0_13, plain, ((size_s5157815400016825771nt_int @ ps_2)=(one_one_nat)), inference(split_conjunct,[status(thm)],[fact_35__092_060open_062length_Aps_092_060_094sub_0622_A_061_A1_092_060close_062])).
0.99/1.19	thf(c_0_14, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])]), ['proof']).
0.99/1.19	# SZS output end CNFRefutation
0.99/1.19	# Parsed axioms                        : 1556
0.99/1.19	# Removed by relevancy pruning/SinE    : 478
0.99/1.19	# Initial clauses                      : 1888
0.99/1.19	# Removed in clause preprocessing      : 52
0.99/1.19	# Initial clauses in saturation        : 1836
0.99/1.19	# Processed clauses                    : 2200
0.99/1.19	# ...of these trivial                  : 75
0.99/1.19	# ...subsumed                          : 348
0.99/1.19	# ...remaining for further processing  : 1777
0.99/1.19	# Other redundant clauses eliminated   : 275
0.99/1.19	# Clauses deleted for lack of memory   : 0
0.99/1.19	# Backward-subsumed                    : 7
0.99/1.19	# Backward-rewritten                   : 24
0.99/1.19	# Generated clauses                    : 393
0.99/1.19	# ...of the previous two non-redundant : 275
0.99/1.19	# ...aggressively subsumed             : 0
0.99/1.19	# Contextual simplify-reflections      : 5
0.99/1.19	# Paramodulations                      : 127
0.99/1.19	# Factorizations                       : 0
0.99/1.19	# NegExts                              : 0
0.99/1.19	# Equation resolutions                 : 283
0.99/1.19	# Propositional unsat checks           : 0
0.99/1.19	#    Propositional check models        : 0
0.99/1.19	#    Propositional check unsatisfiable : 0
0.99/1.19	#    Propositional clauses             : 0
0.99/1.19	#    Propositional clauses after purity: 0
0.99/1.19	#    Propositional unsat core size     : 0
0.99/1.19	#    Propositional preprocessing time  : 0.000
0.99/1.19	#    Propositional encoding time       : 0.000
0.99/1.19	#    Propositional solver time         : 0.000
0.99/1.19	#    Success case prop preproc time    : 0.000
0.99/1.19	#    Success case prop encoding time   : 0.000
0.99/1.19	#    Success case prop solver time     : 0.000
0.99/1.19	# Current number of processed clauses  : 173
0.99/1.19	#    Positive orientable unit clauses  : 75
0.99/1.19	#    Positive unorientable unit clauses: 0
0.99/1.19	#    Negative unit clauses             : 58
0.99/1.19	#    Non-unit-clauses                  : 40
0.99/1.19	# Current number of unprocessed clauses: 1237
0.99/1.19	# ...number of literals in the above   : 4430
0.99/1.19	# Current number of archived formulas  : 0
0.99/1.19	# Current number of archived clauses   : 1358
0.99/1.19	# Clause-clause subsumption calls (NU) : 327396
0.99/1.19	# Rec. Clause-clause subsumption calls : 77290
0.99/1.19	# Non-unit clause-clause subsumptions  : 276
0.99/1.19	# Unit Clause-clause subsumption calls : 7297
0.99/1.19	# Rewrite failures with RHS unbound    : 0
0.99/1.19	# BW rewrite match attempts            : 80
0.99/1.19	# BW rewrite match successes           : 45
0.99/1.19	# Condensation attempts                : 2200
0.99/1.19	# Condensation successes               : 0
0.99/1.19	# Termbank termtop insertions          : 217165
0.99/1.19	
0.99/1.19	# -------------------------------------------------
0.99/1.19	# User time                : 0.423 s
0.99/1.19	# System time              : 0.023 s
0.99/1.19	# Total time               : 0.446 s
0.99/1.19	# Maximum resident set size: 12052 pages
0.99/1.19	
0.99/1.19	# -------------------------------------------------
0.99/1.19	# User time                : 0.481 s
0.99/1.19	# System time              : 0.030 s
0.99/1.19	# Total time               : 0.511 s
0.99/1.19	# Maximum resident set size: 5024 pages
0.99/1.19	EOF