0.53/0.56	% Problem    : SLH0497^1 : TPTP v8.2.0. Released v8.2.0.
0.55/0.57	% Command    : run_E %s %d THM
0.57/0.78	% Computer : n016.cluster.edu
0.57/0.78	% Model    : x86_64 x86_64
0.57/0.78	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.57/0.78	% Memory   : 8042.1875MB
0.57/0.78	% OS       : Linux 3.10.0-693.el7.x86_64
0.57/0.78	% CPULimit   : 30
0.57/0.78	% WCLimit    : 30
0.57/0.78	% DateTime   : Mon Jul  3 10:26:35 EDT 2023
0.57/0.78	% CPUTime    : 
0.63/0.90	The problem SPC is TH0_THM_EQU_NAR
0.63/0.91	Running higher-order on 1 cores theorem proving
0.63/0.91	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.fWqycHb7c8/Vampire---4.8_29066
0.63/0.91	# Version: 3.0pre003-ho
1.49/1.76	# partial match(1): HMLMSMSMSSLNHFA
1.49/1.76	# Preprocessing class: HMLMSMLMSSLNHFA.
1.49/1.76	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.49/1.76	# Starting new_ho_10 with 30s (1) cores
1.49/1.76	# new_ho_10 with pid 29249 completed with status 0
1.49/1.76	# Result found by new_ho_10
1.49/1.76	# partial match(1): HMLMSMSMSSLNHFA
1.49/1.76	# Preprocessing class: HMLMSMLMSSLNHFA.
1.49/1.76	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.49/1.76	# Starting new_ho_10 with 30s (1) cores
1.49/1.76	# No SInE strategy applied
1.49/1.76	# Search class: HGHSM-SMLM32-MHFFFSBN
1.49/1.76	# Scheduled 4 strats onto 1 cores with 30 seconds (30 total)
1.49/1.76	# Starting post_as_ho6 with 19s (1) cores
1.49/1.76	# post_as_ho6 with pid 29250 completed with status 0
1.49/1.76	# Result found by post_as_ho6
1.49/1.76	# partial match(1): HMLMSMSMSSLNHFA
1.49/1.76	# Preprocessing class: HMLMSMLMSSLNHFA.
1.49/1.76	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
1.49/1.76	# Starting new_ho_10 with 30s (1) cores
1.49/1.76	# No SInE strategy applied
1.49/1.76	# Search class: HGHSM-SMLM32-MHFFFSBN
1.49/1.76	# Scheduled 4 strats onto 1 cores with 30 seconds (30 total)
1.49/1.76	# Starting post_as_ho6 with 19s (1) cores
1.49/1.76	# Preprocessing time       : 0.054 s
1.49/1.76	# Presaturation interreduction done
1.49/1.76	
1.49/1.76	# Proof found!
1.49/1.76	# SZS status Theorem
1.49/1.76	# SZS output start CNFRefutation
1.49/1.76	thf(decl_22, type, bNF_Ca5159621140400407487al_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_23, type, bNF_Ca4299268644204761867on_val: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > $o).
1.49/1.76	thf(decl_24, type, bNF_Ca1979673041776187986at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o).
1.49/1.76	thf(decl_25, type, bNF_Ca8448034394003515314at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_26, type, bNF_Ca6037544080215331608at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o).
1.49/1.76	thf(decl_27, type, bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_28, type, bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_29, type, bNF_Ca968750328013420230at_nat: set_Pr1261947904930325089at_nat > (nat > nat) > $o).
1.49/1.76	thf(decl_30, type, bNF_Ca8411853759642212370al_nat: set_Pr4305388979797279737on_val > (produc9003781588162623004on_val > nat) > $o).
1.49/1.76	thf(decl_31, type, bNF_Ca8308629720386654381at_nat: set_Pr8693737435421807431at_nat > (product_prod_nat_nat > nat) > $o).
1.49/1.76	thf(decl_32, type, bNF_Ca4949091444211332621at_nat: set_Pr4329608150637261639at_nat > (set_Pr1261947904930325089at_nat > nat) > $o).
1.49/1.76	thf(decl_33, type, bNF_Ca8906692637563564659at_nat: set_Pr7459493094073627847at_nat > (set_Pr4329608150637261639at_nat > nat) > $o).
1.49/1.76	thf(decl_34, type, bNF_Gr7520394057480975179on_val: set_Pr3433046674199179443r_prat > ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > option_val) > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_35, type, bNF_Gr_nat_nat: set_nat > (nat > nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_36, type, bNF_Gr8368824372578450268on_val: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > produc9003781588162623004on_val) > set_Pr4305388979797279737on_val).
1.49/1.76	thf(decl_37, type, bNF_Gr4088865321246080482at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_38, type, bNF_Gr1527221351080490466at_nat: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_39, type, bNF_Gr7888059597227825506at_nat: set_se5479201105039950375at_nat > (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat) > set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_40, type, bNF_Gr2620532623635037156on_val: set_na3731733139948239937on_val > ((nat > produc9003781588162623004on_val) > nat > produc1457211279475724562t_char > option_val) > (nat > produc9003781588162623004on_val) > (nat > produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_41, type, bNF_Gr5444735849185432863r_prat: set_na3731733139948239937on_val > ((nat > produc9003781588162623004on_val) > nat > produc1457211279475724562t_char > prat) > (nat > produc9003781588162623004on_val) > (nat > produc1457211279475724562t_char > prat) > $o).
1.49/1.76	thf(decl_42, type, bNF_Gr3388551082464497497at_nat: set_na8845969913329135560at_nat > ((nat > product_prod_nat_nat) > nat > nat) > (nat > product_prod_nat_nat) > (nat > nat) > $o).
1.49/1.76	thf(decl_43, type, bNF_Gr4383009045007556383on_val: set_Pr3433046674199179443r_prat > ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_44, type, bNF_Gr5270771597446195660on_val: set_Pr4636196140548262638on_val > ((product_prod_nat_nat > produc9003781588162623004on_val) > product_prod_nat_nat > produc1457211279475724562t_char > option_val) > (product_prod_nat_nat > produc9003781588162623004on_val) > (product_prod_nat_nat > produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_45, type, bNF_Gr2950598962552920375r_prat: set_Pr4636196140548262638on_val > ((product_prod_nat_nat > produc9003781588162623004on_val) > product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc9003781588162623004on_val) > (product_prod_nat_nat > produc1457211279475724562t_char > prat) > $o).
1.49/1.76	thf(decl_46, type, bNF_Gr7802473308256045197at_nat: set_Pr2458342521480944603at_nat > ((product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > nat) > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > nat) > $o).
1.49/1.76	thf(decl_47, type, bNF_Grp_nat_nat: set_nat > (nat > nat) > nat > nat > $o).
1.49/1.76	thf(decl_48, type, bNF_Gr3553472063123884001at_nat: set_nat > (nat > product_prod_nat_nat) > nat > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_49, type, bNF_Gr1324552783004614022on_val: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_50, type, bNF_Gr2025013579966528743r_prat: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > (produc1457211279475724562t_char > prat) > $o).
1.49/1.76	thf(decl_51, type, bNF_Gr193424670081168899at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > nat) > product_prod_nat_nat > nat > $o).
1.49/1.76	thf(decl_52, type, bNF_Gr7275288873855648526at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_53, type, bNF_Gr6677838525845560078at_nat: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_54, type, bNF_co5850895267955675587on_val: ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat) > ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > produc9003781588162623004on_val).
1.49/1.76	thf(decl_55, type, bNF_co805650143699787099at_nat: (nat > nat) > (nat > nat) > nat > product_prod_nat_nat).
1.49/1.76	thf(decl_56, type, bNF_co3837107326993794344on_val: (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_57, type, bNF_co6248701753126501031at_nat: (produc9003781588162623004on_val > nat) > (produc9003781588162623004on_val > nat) > produc9003781588162623004on_val > product_prod_nat_nat).
1.49/1.76	thf(decl_58, type, bNF_co3675872600281376917on_val: (product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc1457211279475724562t_char > option_val) > product_prod_nat_nat > produc9003781588162623004on_val).
1.49/1.76	thf(decl_59, type, bNF_co8276296344278409722at_nat: (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_60, type, bNF_co3897469944465340696at_nat: (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_61, type, bNF_co147202357524637304at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_62, type, bNF_cs5223968648578849398on_val: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > (produc1757238238866670357on_val > produc1457211279475724562t_char > option_val) > (produc9003781588162623004on_val > produc9003781588162623004on_val) > (produc9003781588162623004on_val > produc1757238238866670357on_val) > $o).
1.49/1.76	thf(decl_63, type, bNF_cs2794013118909459695on_val: set_Pr7649655576376376530on_val > (produc3336119888008106215r_prat > produc1457211279475724562t_char > prat) > (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > (produc9003781588162623004on_val > produc3336119888008106215r_prat) > (produc9003781588162623004on_val > produc9003781588162623004on_val) > $o).
1.49/1.76	thf(decl_64, type, bNF_fs7489134050367444823on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_65, type, bNF_fs7282908041383899532on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc9003781588162623004on_val > produc3336119888008106215r_prat).
1.49/1.76	thf(decl_66, type, bNF_fs6799373675401686564at_nat: (nat > nat > $o) > (nat > nat > $o) > product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_67, type, bNF_fs8257191039976258191at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > produc859450856879609959at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_68, type, bNF_fs1946732770515719151at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_69, type, bNF_pi6941616487637503653on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_70, type, bNF_pi5559183403598038974on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_71, type, bNF_re753112871316139152_nat_o: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((nat > $o) > (nat > $o) > $o) > ((produc1457211279475724562t_char > prat) > nat > $o) > ((produc1457211279475724562t_char > option_val) > nat > $o) > $o).
1.49/1.76	thf(decl_72, type, bNF_re6067813816088466256al_o_o: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ($o > $o > $o) > ((produc1457211279475724562t_char > prat) > $o) > ((produc1457211279475724562t_char > option_val) > $o) > $o).
1.49/1.76	thf(decl_73, type, bNF_re4892053619688935818_val_o: (nat > nat > $o) > (((produc1457211279475724562t_char > prat) > $o) > ((produc1457211279475724562t_char > option_val) > $o) > $o) > (nat > (produc1457211279475724562t_char > prat) > $o) > (nat > (produc1457211279475724562t_char > option_val) > $o) > $o).
1.49/1.76	thf(decl_74, type, bNF_re578469030762574527_nat_o: (nat > nat > $o) > ((nat > $o) > (nat > $o) > $o) > (nat > nat > $o) > (nat > nat > $o) > $o).
1.49/1.76	thf(decl_75, type, bNF_re2896540935372247726on_val: (nat > nat > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (nat > produc1457211279475724562t_char > prat) > (nat > produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_76, type, bNF_re3272885123108610425_nat_o: (nat > nat > $o) > ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > $o) > (nat > product_prod_nat_nat > $o) > (nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_77, type, bNF_re7533008290153783993_nat_o: (nat > nat > $o) > ((set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > $o) > $o) > (nat > set_Pr1261947904930325089at_nat > $o) > (nat > set_Pr1261947904930325089at_nat > $o) > $o).
1.49/1.76	thf(decl_78, type, bNF_re4705727531993890431at_o_o: (nat > nat > $o) > ($o > $o > $o) > (nat > $o) > (nat > $o) > $o).
1.49/1.76	thf(decl_79, type, bNF_re5653821019739307937at_nat: (nat > nat > $o) > (nat > nat > $o) > (nat > nat) > (nat > nat) > $o).
1.49/1.76	thf(decl_80, type, bNF_re1392313733760654173_nat_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > ((nat > $o) > (nat > $o) > $o) > (product_prod_nat_nat > nat > $o) > (product_prod_nat_nat > nat > $o) > $o).
1.49/1.76	thf(decl_81, type, bNF_re8250582710452816528on_val: (product_prod_nat_nat > product_prod_nat_nat > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_82, type, bNF_re4202695980764964119_nat_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_83, type, bNF_re6631849262158050903_nat_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > ((set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > $o) > $o) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o) > $o).
1.49/1.76	thf(decl_84, type, bNF_re3666534408544137501at_o_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > ($o > $o > $o) > (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_85, type, bNF_re8246922863344978751at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (nat > nat > $o) > (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > $o).
1.49/1.76	thf(decl_86, type, bNF_re3326851373202864989_nat_o: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > ((nat > $o) > (nat > $o) > $o) > (set_Pr1261947904930325089at_nat > nat > $o) > (set_Pr1261947904930325089at_nat > nat > $o) > $o).
1.49/1.76	thf(decl_87, type, bNF_re1007418676577076503_nat_o: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > ((product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > $o) > (set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o) > (set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_88, type, bNF_re2156183356565917981at_o_o: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > ($o > $o > $o) > (set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > $o) > $o).
1.49/1.76	thf(decl_89, type, bNF_sn3802693149471413141on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > $o) > produc9003781588162623004on_val > produc1757238238866670357on_val).
1.49/1.76	thf(decl_90, type, bNF_sn6607638108379713230on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_91, type, bNF_sn8916957246138178918at_nat: (nat > nat > $o) > (nat > nat > $o) > product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_92, type, bNF_sn5923954573255187405at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > produc859450856879609959at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_93, type, bNF_sn1857951156667551021at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_94, type, bNF_vi2254905643487785511_val_o: ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat) > ((produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_95, type, bNF_vi2516110938607903234_nat_o: ((produc1457211279475724562t_char > prat) > nat) > ((produc1457211279475724562t_char > option_val) > nat) > (nat > nat > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_96, type, bNF_vi6495413567062537508_val_o: (nat > produc1457211279475724562t_char > prat) > (nat > produc1457211279475724562t_char > option_val) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > nat > nat > $o).
1.49/1.76	thf(decl_97, type, bNF_vi6667456707345531737_nat_o: (nat > nat) > (nat > nat) > (nat > nat > $o) > nat > nat > $o).
1.49/1.76	thf(decl_98, type, bNF_Gr3695791879626193176at_nat: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > nat) > (produc9003781588162623004on_val > nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_99, type, bNF_Gr1122962726781069062on_val: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc1457211279475724562t_char > option_val) > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_100, type, bNF_Gr8954129895687480649at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_101, type, bNF_Gr8808630244184418791at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_102, type, bNF_Gr2618164000252033511at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_103, type, bNF_Gr97278709799963567at_nat: set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > nat) > (produc859450856879609959at_nat > nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_104, type, bNF_Gr978357984662150989at_nat: set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > product_prod_nat_nat) > (produc859450856879609959at_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_105, type, bNF_Gr5887040420617142093at_nat: set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr1261947904930325089at_nat) > (produc859450856879609959at_nat > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_106, type, bNF_Gr1074675703407240111at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > nat) > (produc3843707927480180839at_nat > nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_107, type, bNF_Gr253540273889441613at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > product_prod_nat_nat) > (produc3843707927480180839at_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_108, type, bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_109, type, basic_7826031515394172198on_val: produc9003781588162623004on_val > set_Pr3433046674199179443r_prat).
1.49/1.76	thf(decl_110, type, basic_fsts_nat_nat: product_prod_nat_nat > set_nat).
1.49/1.76	thf(decl_111, type, basic_2381348828333783745on_val: produc1317171644805857433on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_112, type, basic_3661821009137050567at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat).
1.49/1.76	thf(decl_113, type, basic_1274512288150691911at_nat: produc1319942482725812455at_nat > set_se5479201105039950375at_nat).
1.49/1.76	thf(decl_114, type, basic_8841519627501779048on_val: produc9003781588162623004on_val > set_Pr1004501353197068112on_val).
1.49/1.76	thf(decl_115, type, basic_snds_nat_nat: product_prod_nat_nat > set_nat).
1.49/1.76	thf(decl_116, type, basic_2713455076908730111on_val: produc1317171644805857433on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_117, type, basic_484852565060450053at_nat: produc3843707927480180839at_nat > set_se7855581050983116737at_nat).
1.49/1.76	thf(decl_118, type, basic_5713354656523905413at_nat: produc1319942482725812455at_nat > set_se5479201105039950375at_nat).
1.49/1.76	thf(decl_119, type, comple6221860311599351331on_val: set_se6878779149560807558on_val > set_Pr1004501353197068112on_val).
1.49/1.76	thf(decl_120, type, comple7399068483239264473et_nat: set_set_nat > set_nat).
1.49/1.76	thf(decl_121, type, comple5258588689616361253on_val: set_se4121305487623298184on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_122, type, comple5685304695842803022at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_123, type, comple3779562415432662246on_val: set_se7232742072776115033on_val > set_Pr4305388979797279737on_val).
1.49/1.76	thf(decl_124, type, comple4364388969068068532at_nat: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_125, type, comple7342073961973170484at_nat: set_se7592288975875140775at_nat > set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_126, type, finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_127, type, comp_P4718904269643193781on_val: ((produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val) > (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_128, type, comp_P4527276930459016555on_val: ((produc1457211279475724562t_char > option_val) > nat) > (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > nat).
1.49/1.76	thf(decl_129, type, comp_P3324790395486970996on_val: ((produc1457211279475724562t_char > option_val) > produc1757238238866670357on_val) > (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > produc1757238238866670357on_val).
1.49/1.76	thf(decl_130, type, comp_P123150374798284520on_val: ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > option_val) > (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_131, type, comp_P4687317905303122495on_val: ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat) > (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_132, type, comp_P5781055251786105118on_val: ((produc1457211279475724562t_char > prat) > nat) > (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > nat).
1.49/1.76	thf(decl_133, type, comp_P4016055770202289235on_val: ((produc1457211279475724562t_char > prat) > produc3336119888008106215r_prat) > (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > produc3336119888008106215r_prat).
1.49/1.76	thf(decl_134, type, comp_n3217000323701810034at_nat: (nat > produc1457211279475724562t_char > option_val) > (product_prod_nat_nat > nat) > product_prod_nat_nat > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_135, type, comp_n4993841364546111009at_nat: (nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > nat) > product_prod_nat_nat > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_136, type, comp_n2711240574518091068at_nat: (nat > nat) > (product_prod_nat_nat > nat) > product_prod_nat_nat > nat).
1.49/1.76	thf(decl_137, type, comp_o5604524432708427236al_val: (option_val > val) > (val > option_val) > val > val).
1.49/1.76	thf(decl_138, type, comp_o4916166309651032803_state: (option_state > state) > (state > option_state) > state > state).
1.49/1.76	thf(decl_139, type, comp_P3343515995226764714on_val: (produc1757238238866670357on_val > produc1457211279475724562t_char > option_val) > (produc9003781588162623004on_val > produc1757238238866670357on_val) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_140, type, comp_P1319385742190247241on_val: (produc7776263825685906734r_prat > produc1457211279475724562t_char > option_val) > (produc9003781588162623004on_val > produc7776263825685906734r_prat) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_141, type, comp_P1591131706424975134on_val: (produc7776263825685906734r_prat > produc1457211279475724562t_char > prat) > (produc9003781588162623004on_val > produc7776263825685906734r_prat) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_142, type, comp_P6187037784939234283al_nat: (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > (nat > produc9003781588162623004on_val) > nat > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_143, type, comp_P8287346254047880777r_prat: (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > (produc7776263825685906734r_prat > produc9003781588162623004on_val) > produc7776263825685906734r_prat > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_144, type, comp_P291491979669821239on_val: (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > (produc9003781588162623004on_val > produc9003781588162623004on_val) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_145, type, comp_P157993088335196966at_nat: (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > (product_prod_nat_nat > produc9003781588162623004on_val) > product_prod_nat_nat > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_146, type, comp_P4447563945128311908at_nat: (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > (nat > produc9003781588162623004on_val) > nat > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_147, type, comp_P4800886777526708674r_prat: (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > (produc7776263825685906734r_prat > produc9003781588162623004on_val) > produc7776263825685906734r_prat > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_148, type, comp_P6028404540003424944on_val: (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > (produc9003781588162623004on_val > produc9003781588162623004on_val) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_149, type, comp_P7748810038695468909at_nat: (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc9003781588162623004on_val) > product_prod_nat_nat > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_150, type, comp_P5489260687716092971on_val: (produc3336119888008106215r_prat > produc1457211279475724562t_char > prat) > (produc9003781588162623004on_val > produc3336119888008106215r_prat) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_151, type, comp_P6344650113790022471at_nat: (product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_152, type, comp_P1955610211387027840at_nat: (product_prod_nat_nat > nat) > (nat > product_prod_nat_nat) > nat > nat).
1.49/1.76	thf(decl_153, type, comp_P1567445206330693457at_nat: (product_prod_nat_nat > nat) > (product_prod_nat_nat > product_prod_nat_nat) > product_prod_nat_nat > nat).
1.49/1.76	thf(decl_154, type, comp_P3189659738270478212at_nat: (product_prod_nat_nat > product_prod_nat_nat) > (produc859450856879609959at_nat > product_prod_nat_nat) > produc859450856879609959at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_155, type, comp_P3366439835523679408on_val: (produc1317171644805857433on_val > produc9003781588162623004on_val) > (produc9003781588162623004on_val > produc1317171644805857433on_val) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_156, type, comp_P7221957804074544389on_val: (produc1317171644805857433on_val > produc9003781588162623004on_val) > (produc1317171644805857433on_val > produc1317171644805857433on_val) > produc1317171644805857433on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_157, type, comp_P4974406650942564362at_nat: (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > (produc3843707927480180839at_nat > produc3843707927480180839at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_158, type, comp_P4528037747288561284at_nat: (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > (set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_159, type, comp_P3728553842126764068at_nat: (produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat) > (produc1319942482725812455at_nat > produc1319942482725812455at_nat) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_160, type, comp_P8235817900121468292at_nat: (produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat) > (set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_161, type, comp_s7355055891894327172at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_162, type, id_Pro6476562945676181316r_prat: (produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_163, type, id_val: val > val).
1.49/1.76	thf(decl_164, type, id_nat: nat > nat).
1.49/1.76	thf(decl_165, type, id_state: state > state).
1.49/1.76	thf(decl_166, type, id_Pro1402184692240358763on_val: produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_167, type, id_Pro7559728917991913458at_nat: product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_168, type, id_Pro2088550933252328842on_val: produc1317171644805857433on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_169, type, id_Pro8722402698821300696at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_170, type, id_Pro6043886709289754456at_nat: produc1319942482725812455at_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_171, type, id_set2334057505560298834at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_172, type, id_set7849613212452405432at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_173, type, fun_in3588502033776859947on_val: set_Pr7649655576376376530on_val > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_174, type, fun_in_rel_nat_nat: set_Pr1261947904930325089at_nat > nat > nat > $o).
1.49/1.76	thf(decl_175, type, fun_in8416620500172528508on_val: set_Pr4305388979797279737on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_176, type, fun_in3916733394112622082at_nat: set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_177, type, fun_in8056734985859589634at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_178, type, fun_in6812141508599261570at_nat: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_179, type, fun_max_strict: set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_180, type, fun_max_weak: set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_181, type, fun_min_strict: set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_182, type, fun_min_weak: set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_183, type, fun_pair_leq: set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_184, type, fun_pair_less: set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_185, type, fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o).
1.49/1.76	thf(decl_186, type, fun_rp8445993449185644698at_nat: produc1319942482725812455at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_187, type, if_option_state: $o > option_state > option_state > option_state).
1.49/1.76	thf(decl_188, type, inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_189, type, sup_sup_set_nat: set_nat > set_nat > set_nat).
1.49/1.76	thf(decl_190, type, sup_su7506060154676209150on_val: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_191, type, sup_su6327502436637775413at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_192, type, sup_su3890347010539237325on_val: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val).
1.49/1.76	thf(decl_193, type, sup_su718114333110466843at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_194, type, sup_su1595509577888697473at_nat: set_Pr6615861603993638061at_nat > set_Pr6615861603993638061at_nat > set_Pr6615861603993638061at_nat).
1.49/1.76	thf(decl_195, type, sup_su6071048768109290037at_nat: set_Pr1868028757359454817at_nat > set_Pr1868028757359454817at_nat > set_Pr1868028757359454817at_nat).
1.49/1.76	thf(decl_196, type, sup_su6664651903789602459at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat).
1.49/1.76	thf(decl_197, type, sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_198, type, sup_su5395584912770621083at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_199, type, sup_su3642409539654194069at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat).
1.49/1.76	thf(decl_200, type, sup_su474284620922681339at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat).
1.49/1.76	thf(decl_201, type, quotient_nat_nat: (nat > nat > $o) > (nat > nat) > (nat > nat) > (nat > nat > $o) > $o).
1.49/1.76	thf(decl_202, type, quotie4557386371875466009at_nat: (nat > nat > $o) > (nat > product_prod_nat_nat) > (product_prod_nat_nat > nat) > (nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_203, type, quotie1197338978832750907at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > nat) > (nat > product_prod_nat_nat) > (product_prod_nat_nat > nat > $o) > $o).
1.49/1.76	thf(decl_204, type, quotie4166942682936818134at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_205, type, map_ad2908576761495157028ar_val: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_206, type, add_ma6586698345353345811t_char: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_207, type, add_ma2412268806269088278t_char: produc5803078220529002682t_char > produc5803078220529002682t_char > $o).
1.49/1.76	thf(decl_208, type, empty_3446695950879338768t_char: produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_209, type, full_mask: produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_210, type, greate7680731506090375811t_char: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > $o).
1.49/1.76	thf(decl_211, type, multiply_mask: prat > (produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_212, type, pre_ge1486375753531218896on_val: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_213, type, pre_ge5139353195879713175on_val: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_214, type, pre_ge6140436789258014353on_val: produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_215, type, pre_ge7436079647097740950on_val: produc1317171644805857433on_val > produc1317171644805857433on_val > $o).
1.49/1.76	thf(decl_216, type, pre_ge8481574585653477131on_val: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_217, type, pre_ge6899797224320663452on_val: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_218, type, pre_ge4462515927930180886on_val: produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_219, type, pre_ge1694281482089598673on_val: produc1317171644805857433on_val > produc1317171644805857433on_val > $o).
1.49/1.76	thf(decl_220, type, valid_mask: (produc1457211279475724562t_char > prat) > $o).
1.49/1.76	thf(decl_221, type, valid_null: (produc1457211279475724562t_char > prat) > $o).
1.49/1.76	thf(decl_222, type, bind_val_val: option_val > (val > option_val) > option_val).
1.49/1.76	thf(decl_223, type, bind_val_state: option_val > (val > option_state) > option_state).
1.49/1.76	thf(decl_224, type, bind_state_val: option_state > (state > option_val) > option_val).
1.49/1.76	thf(decl_225, type, bind_state_state: option_state > (state > option_state) > option_state).
1.49/1.76	thf(decl_226, type, is_none_val: option_val > $o).
1.49/1.76	thf(decl_227, type, is_none_state: option_state > $o).
1.49/1.76	thf(decl_228, type, none_val: option_val).
1.49/1.76	thf(decl_229, type, none_nat: option_nat).
1.49/1.76	thf(decl_230, type, none_state: option_state).
1.49/1.76	thf(decl_231, type, none_P8728355543607141243on_val: option8887860577033306220on_val).
1.49/1.76	thf(decl_232, type, none_P5556105721700978146at_nat: option4927543243414619207at_nat).
1.49/1.76	thf(decl_233, type, none_P3048676973221322696at_nat: option7387190471253296173at_nat).
1.49/1.76	thf(decl_234, type, none_P5811896708078067656at_nat: option8699557107911914541at_nat).
1.49/1.76	thf(decl_235, type, some_val: val > option_val).
1.49/1.76	thf(decl_236, type, some_nat: nat > option_nat).
1.49/1.76	thf(decl_237, type, some_state: state > option_state).
1.49/1.76	thf(decl_238, type, some_P2581650809551911671on_val: produc9003781588162623004on_val > option8887860577033306220on_val).
1.49/1.76	thf(decl_239, type, some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat).
1.49/1.76	thf(decl_240, type, some_P8600064857277225804at_nat: produc859450856879609959at_nat > option7387190471253296173at_nat).
1.49/1.76	thf(decl_241, type, some_P131194445498448716at_nat: produc3843707927480180839at_nat > option8699557107911914541at_nat).
1.49/1.76	thf(decl_242, type, case_option_o_val: $o > (val > $o) > option_val > $o).
1.49/1.76	thf(decl_243, type, case_option_o_state: $o > (state > $o) > option_state > $o).
1.49/1.76	thf(decl_244, type, case_o7794706883426356101al_val: option_val > (val > option_val) > option_val > option_val).
1.49/1.76	thf(decl_245, type, set_option_val2: option_val > set_val).
1.49/1.76	thf(decl_246, type, set_option_state2: option_state > set_state).
1.49/1.76	thf(decl_247, type, set_op9004752959087400718on_val: option8887860577033306220on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_248, type, set_op5809825150163292047at_nat: option4927543243414619207at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_249, type, set_op4560849759121656309at_nat: option7387190471253296173at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_250, type, set_op5866586666149159413at_nat: option8699557107911914541at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_251, type, the_val: option_val > val).
1.49/1.76	thf(decl_252, type, the_state: option_state > state).
1.49/1.76	thf(decl_253, type, the_Pr3639693038709580936on_val: option8887860577033306220on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_254, type, the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_255, type, the_Pr7872901030767315195at_nat: option7387190471253296173at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_256, type, the_Pr6298817542474494203at_nat: option8699557107911914541at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_257, type, these_val: set_option_val > set_val).
1.49/1.76	thf(decl_258, type, these_state: set_option_state > set_state).
1.49/1.76	thf(decl_259, type, these_3919539662624406175on_val: set_op6240181410663953058on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_260, type, these_8061402112538453438at_nat: set_op4508134149509766951at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_261, type, these_1209128361116040612at_nat: set_op6316616166620989581at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_262, type, these_1872268174106123684at_nat: set_op989438649584373901at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_263, type, order_aboveS_nat: set_Pr1261947904930325089at_nat > nat > set_nat).
1.49/1.76	thf(decl_264, type, order_86566288019506545on_val: set_Pr4305388979797279737on_val > produc9003781588162623004on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_265, type, order_4940263126897443436at_nat: set_Pr8693737435421807431at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_266, type, order_4440095836999870412at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat).
1.49/1.76	thf(decl_267, type, order_2442354982230848562at_nat: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat).
1.49/1.76	thf(decl_268, type, order_4473980167227706203on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_269, type, order_6061556925426544295on_val: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > $o).
1.49/1.76	thf(decl_270, type, order_7480980593162297270at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o).
1.49/1.76	thf(decl_271, type, order_2711500226769404828at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o).
1.49/1.76	thf(decl_272, type, order_5942792088423767318at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_273, type, order_1878278401035043452at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o).
1.49/1.76	thf(decl_274, type, order_1962693441708344834of_nat: (nat > nat > $o) > set_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_275, type, order_8899622344125824590on_val: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val).
1.49/1.76	thf(decl_276, type, order_1381308103030626383at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_277, type, order_8809246210994205103at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_278, type, order_8308734813930759573at_nat: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_279, type, order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat).
1.49/1.76	thf(decl_280, type, order_2888998067076097458on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_281, type, order_2579646547231075838on_val: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > $o).
1.49/1.76	thf(decl_282, type, order_8331247224601271455at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o).
1.49/1.76	thf(decl_283, type, order_2339240034117818117at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o).
1.49/1.76	thf(decl_284, type, order_1968183844437341695at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_285, type, order_423636163458052581at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o).
1.49/1.76	thf(decl_286, type, bot_bo5671083314777306084on_val: set_Pr1004501353197068112on_val).
1.49/1.76	thf(decl_287, type, bot_bo3164680191535668511r_prat: set_Pr3433046674199179443r_prat).
1.49/1.76	thf(decl_288, type, bot_bot_set_val: set_val).
1.49/1.76	thf(decl_289, type, bot_bot_set_nat: set_nat).
1.49/1.76	thf(decl_290, type, bot_bo5906790151302476563on_val: set_option_val).
1.49/1.76	thf(decl_291, type, bot_bo710180891245420500_state: set_option_state).
1.49/1.76	thf(decl_292, type, bot_bo3414888551220300179at_nat: set_op4508134149509766951at_nat).
1.49/1.76	thf(decl_293, type, bot_bo1471150103859235065at_nat: set_op989438649584373901at_nat).
1.49/1.76	thf(decl_294, type, bot_bot_set_state: set_state).
1.49/1.76	thf(decl_295, type, bot_bo6722054719108133734on_val: set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_296, type, bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_297, type, bot_bo402267660617762917on_val: set_Pr4305388979797279737on_val).
1.49/1.76	thf(decl_298, type, bot_bo5327735625951526323at_nat: set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_299, type, bot_bo3433114129128967449at_nat: set_Pr6615861603993638061at_nat).
1.49/1.76	thf(decl_300, type, bot_bo7908653319349560013at_nat: set_Pr1868028757359454817at_nat).
1.49/1.76	thf(decl_301, type, bot_bo7193250159860175667at_nat: set_Pr5564308138774400199at_nat).
1.49/1.76	thf(decl_302, type, bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_303, type, bot_bo4948859079157340979at_nat: set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_304, type, bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat).
1.49/1.76	thf(decl_305, type, bot_bo1534825418459847827at_nat: set_se5479201105039950375at_nat).
1.49/1.76	thf(decl_306, type, ord_less_nat: nat > nat > $o).
1.49/1.76	thf(decl_307, type, ord_le3852884270828607079_val_o: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > $o).
1.49/1.76	thf(decl_308, type, ord_le2646555220125990790_nat_o: (nat > nat > $o) > (nat > nat > $o) > $o).
1.49/1.76	thf(decl_309, type, ord_le4212822800974190475_nat_o: (nat > product_prod_nat_nat > $o) > (nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_310, type, ord_le4344933087531911346tate_o: (state > state > $o) > (state > state > $o) > $o).
1.49/1.76	thf(decl_311, type, ord_less_eq_state_o: (state > $o) > (state > $o) > $o).
1.49/1.76	thf(decl_312, type, ord_le616650860478780142_val_o: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > $o).
1.49/1.76	thf(decl_313, type, ord_le6140313152057869779_val_o: (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > $o) > $o).
1.49/1.76	thf(decl_314, type, ord_le2374372785170350083_nat_o: (product_prod_nat_nat > nat > $o) > (product_prod_nat_nat > nat > $o) > $o).
1.49/1.76	thf(decl_315, type, ord_le5604493270027003598_nat_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_316, type, ord_le2319172193063290574_val_o: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > $o).
1.49/1.76	thf(decl_317, type, ord_le8528861841627966596_val_o: (produc1317171644805857433on_val > $o) > (produc1317171644805857433on_val > $o) > $o).
1.49/1.76	thf(decl_318, type, ord_le3935385432712749774_nat_o: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > $o).
1.49/1.76	thf(decl_319, type, ord_le3072208448688395470_nat_o: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > $o).
1.49/1.76	thf(decl_320, type, ord_less_eq_nat: nat > nat > $o).
1.49/1.76	thf(decl_321, type, ord_less_eq_set_nat: set_nat > set_nat > $o).
1.49/1.76	thf(decl_322, type, ord_le2122960673345045316r_prat: set_Pr2871993341207995108r_prat > set_Pr2871993341207995108r_prat > $o).
1.49/1.76	thf(decl_323, type, ord_le6900622908513426738on_val: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > $o).
1.49/1.76	thf(decl_324, type, ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_325, type, ord_le7224449410216889241on_val: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > $o).
1.49/1.76	thf(decl_326, type, ord_le3000389064537975527at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > $o).
1.49/1.76	thf(decl_327, type, ord_le7005211468645301325at_nat: set_Pr6615861603993638061at_nat > set_Pr6615861603993638061at_nat > $o).
1.49/1.76	thf(decl_328, type, ord_le2286497330737841255at_nat: set_Pr553994874890374343at_nat > set_Pr553994874890374343at_nat > $o).
1.49/1.76	thf(decl_329, type, ord_le2257378622011118081at_nat: set_Pr1868028757359454817at_nat > set_Pr1868028757359454817at_nat > $o).
1.49/1.76	thf(decl_330, type, ord_le3091953645718357095at_nat: set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat > $o).
1.49/1.76	thf(decl_331, type, ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_332, type, ord_le5997549366648089703at_nat: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > $o).
1.49/1.76	thf(decl_333, type, ord_le2077887516847798113at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > $o).
1.49/1.76	thf(decl_334, type, ord_le7966958417815640519at_nat: set_se5479201105039950375at_nat > set_se5479201105039950375at_nat > $o).
1.49/1.76	thf(decl_335, type, top_to3326603054294128128on_val: set_Pr1004501353197068112on_val).
1.49/1.76	thf(decl_336, type, top_to6849109582029272579r_prat: set_Pr3433046674199179443r_prat).
1.49/1.76	thf(decl_337, type, top_top_set_val: set_val).
1.49/1.76	thf(decl_338, type, top_top_set_nat: set_nat).
1.49/1.76	thf(decl_339, type, top_to853123400021307383on_val: set_option_val).
1.49/1.76	thf(decl_340, type, top_to8920198386146353926on_nat: set_option_nat).
1.49/1.76	thf(decl_341, type, top_to7666338855062656496_state: set_option_state).
1.49/1.76	thf(decl_342, type, top_to3251141154256563319at_nat: set_op4508134149509766951at_nat).
1.49/1.76	thf(decl_343, type, top_top_set_state: set_state).
1.49/1.76	thf(decl_344, type, top_to1561438921946393474on_val: set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_345, type, top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_346, type, top_to7745748144976627212at_nat: set_Pr7717912310451564380at_nat).
1.49/1.76	thf(decl_347, type, top_to2567003362141017830at_nat: set_Pr2539167527615954998at_nat).
1.49/1.76	thf(decl_348, type, top_to8454300755403694231at_nat: set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_349, type, top_to6833984726390702231at_nat: set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_350, type, top_to7629004291339433233at_nat: set_se7855581050983116737at_nat).
1.49/1.76	thf(decl_351, type, top_to1754375979021635447at_nat: set_se5479201105039950375at_nat).
1.49/1.76	thf(decl_352, type, add_states: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_353, type, add_states_rel: produc1317171644805857433on_val > produc1317171644805857433on_val > $o).
1.49/1.76	thf(decl_354, type, compatible: produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_355, type, compatible_heaps: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_356, type, compat7209469420100717861ns_val: option_val > option_val > $o).
1.49/1.76	thf(decl_357, type, compat2278460363914054422_state: option_state > option_state > $o).
1.49/1.76	thf(decl_358, type, compat8294034345482142370el_val: produc5122021904355189735on_val > produc5122021904355189735on_val > $o).
1.49/1.76	thf(decl_359, type, compat1844074344818064729_state: produc3142500478612311029_state > produc3142500478612311029_state > $o).
1.49/1.76	thf(decl_360, type, core: state > state).
1.49/1.76	thf(decl_361, type, empty_7512026568161686585ar_val: produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_362, type, get_h: state > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_363, type, get_h_rel: state > state > $o).
1.49/1.76	thf(decl_364, type, get_m: state > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_365, type, get_m_rel: state > state > $o).
1.49/1.76	thf(decl_366, type, larger1532547405891354081ar_val: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_367, type, plus: state > state > option_state).
1.49/1.76	thf(decl_368, type, stable: state > $o).
1.49/1.76	thf(decl_369, type, abs_state: produc9003781588162623004on_val > state).
1.49/1.76	thf(decl_370, type, rep_state: state > produc9003781588162623004on_val).
1.49/1.76	thf(decl_371, type, unit: state).
1.49/1.76	thf(decl_372, type, valid_heap: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_373, type, valid_state: produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_374, type, valid_state_rel: produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_375, type, padd: prat > prat > prat).
1.49/1.76	thf(decl_376, type, ppos: prat > $o).
1.49/1.76	thf(decl_377, type, produc8008623296994167373on_val: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1757238238866670357on_val).
1.49/1.76	thf(decl_378, type, produc1897429902272487136r_prat: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > produc7776263825685906734r_prat).
1.49/1.76	thf(decl_379, type, produc74620467203698198on_val: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val).
1.49/1.76	thf(decl_380, type, produc1164665353665699927r_prat: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > produc3336119888008106215r_prat).
1.49/1.76	thf(decl_381, type, produc2957999048406202538t_char: (produc1457211279475724562t_char > prat) > produc2489117125269924006t_char > produc5803078220529002682t_char).
1.49/1.76	thf(decl_382, type, produc2591414526589101846t_char: (produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > produc2489117125269924006t_char).
1.49/1.76	thf(decl_383, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat).
1.49/1.76	thf(decl_384, type, produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat).
1.49/1.76	thf(decl_385, type, produc5463602008962177208at_nat: nat > set_Pr1261947904930325089at_nat > produc3313772616054891654at_nat).
1.49/1.76	thf(decl_386, type, produc904852209897547607on_val: option_val > option_val > produc5122021904355189735on_val).
1.49/1.76	thf(decl_387, type, produc9160152616361873709_state: option_state > option_state > produc3142500478612311029_state).
1.49/1.76	thf(decl_388, type, produc4958730763592889809on_val: produc9003781588162623004on_val > produc9003781588162623004on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_389, type, produc6350711070570205562at_nat: product_prod_nat_nat > nat > produc8373899037510109440at_nat).
1.49/1.76	thf(decl_390, type, produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_391, type, produc5496787636967163197at_nat: product_prod_nat_nat > produc859450856879609959at_nat > produc39072733474941005at_nat).
1.49/1.76	thf(decl_392, type, produc8594291983450332477at_nat: product_prod_nat_nat > produc3843707927480180839at_nat > produc8430705068416227405at_nat).
1.49/1.76	thf(decl_393, type, produc5966227314700062775at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > produc7192094812858977735at_nat).
1.49/1.76	thf(decl_394, type, produc2653010282673554021at_nat: produc7248412053542808358at_nat > produc7248412053542808358at_nat > produc6277219514840344877at_nat).
1.49/1.76	thf(decl_395, type, produc8824474337961625893at_nat: produc3313772616054891654at_nat > produc3313772616054891654at_nat > produc2714363965264676845at_nat).
1.49/1.76	thf(decl_396, type, produc1713567484784205015on_val: produc1317171644805857433on_val > produc1317171644805857433on_val > produc3517408837545735783on_val).
1.49/1.76	thf(decl_397, type, produc7904928797850150681at_nat: produc8373899037510109440at_nat > produc8373899037510109440at_nat > produc5224906263214031073at_nat).
1.49/1.76	thf(decl_398, type, produc1860397064299428849at_nat: produc859450856879609959at_nat > product_prod_nat_nat > produc7148259590854449153at_nat).
1.49/1.76	thf(decl_399, type, produc4662710985925991255at_nat: produc859450856879609959at_nat > produc859450856879609959at_nat > produc349518998152878311at_nat).
1.49/1.76	thf(decl_400, type, produc636707851812660055at_nat: produc859450856879609959at_nat > produc3843707927480180839at_nat > produc1034191653824608487at_nat).
1.49/1.76	thf(decl_401, type, produc3335200116822430551at_nat: produc7192094812858977735at_nat > produc7192094812858977735at_nat > produc5602960702702913767at_nat).
1.49/1.76	thf(decl_402, type, produc3585720979125124569at_nat: produc366245978424229472at_nat > produc366245978424229472at_nat > produc2087150632810049441at_nat).
1.49/1.76	thf(decl_403, type, produc9001802813318374231at_nat: produc427138148967705351at_nat > produc427138148967705351at_nat > produc6865100024664242407at_nat).
1.49/1.76	thf(decl_404, type, produc5023393015413421041at_nat: produc3843707927480180839at_nat > product_prod_nat_nat > produc560747048475658241at_nat).
1.49/1.76	thf(decl_405, type, produc2335810615602371415at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat > produc1906917888121415911at_nat).
1.49/1.76	thf(decl_406, type, produc4368537760102652709at_nat: produc6652242454236649670at_nat > produc6652242454236649670at_nat > produc1453148701817988333at_nat).
1.49/1.76	thf(decl_407, type, produc2220582066590712663at_nat: produc1319942482725812455at_nat > produc1319942482725812455at_nat > produc1429535001352425191at_nat).
1.49/1.76	thf(decl_408, type, produc3149970401713881818at_nat: set_Pr1261947904930325089at_nat > nat > produc366245978424229472at_nat).
1.49/1.76	thf(decl_409, type, produc4320700058201173367at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat > produc427138148967705351at_nat).
1.49/1.76	thf(decl_410, type, produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_411, type, produc7032939846799167424at_nat: set_Pr4329608150637261639at_nat > nat > produc6652242454236649670at_nat).
1.49/1.76	thf(decl_412, type, produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_413, type, produc3189049046222722799r_prat: set_Pr1004501353197068112on_val > ((produc1457211279475724562t_char > option_val) > set_Pr3433046674199179443r_prat) > set_Pr2871993341207995108r_prat).
1.49/1.76	thf(decl_414, type, produc1366239611153933861on_val: set_Pr3433046674199179443r_prat > ((produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val) > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_415, type, produc457027306803732586at_nat: set_nat > (nat > set_nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_416, type, produc2110153610967699638on_val: set_nat > (nat > set_Pr7649655576376376530on_val) > set_Pr4398582090927901101on_val).
1.49/1.76	thf(decl_417, type, produc1809337555817847783at_nat: set_nat > (nat > set_Pr1261947904930325089at_nat) > set_Pr7717912310451564380at_nat).
1.49/1.76	thf(decl_418, type, produc396409126344608333at_nat: set_nat > (nat > set_Pr4329608150637261639at_nat) > set_Pr1625285437083415874at_nat).
1.49/1.76	thf(decl_419, type, produc7812486985998511542al_nat: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > set_nat) > set_Pr8647644037284952237al_nat).
1.49/1.76	thf(decl_420, type, produc4067394217145614850on_val: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > set_Pr7649655576376376530on_val) > set_Pr4305388979797279737on_val).
1.49/1.76	thf(decl_421, type, produc8411625936386031515at_nat: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > set_Pr1261947904930325089at_nat) > set_Pr1142523028707314192at_nat).
1.49/1.76	thf(decl_422, type, produc7672662199629908489at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_nat) > set_Pr2539167527615954998at_nat).
1.49/1.76	thf(decl_423, type, produc7035663349334832981on_val: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr7649655576376376530on_val) > set_Pr6637471833410209410on_val).
1.49/1.76	thf(decl_424, type, produc2761391749766926216at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_425, type, produc7465995907834253422at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr8693737435421807431at_nat) > set_Pr9129816769188007085at_nat).
1.49/1.76	thf(decl_426, type, produc3090783324798197870at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr4329608150637261639at_nat) > set_Pr6615861603993638061at_nat).
1.49/1.76	thf(decl_427, type, produc3829605335166519074at_nat: set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr1261947904930325089at_nat) > set_Pr846279711151727201at_nat).
1.49/1.76	thf(decl_428, type, produc18557253517588744at_nat: set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr8693737435421807431at_nat) > set_Pr553994874890374343at_nat).
1.49/1.76	thf(decl_429, type, produc8155347593902061832at_nat: set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr4329608150637261639at_nat) > set_Pr2541250129553540295at_nat).
1.49/1.76	thf(decl_430, type, produc8743256393616062242at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > set_Pr1868028757359454817at_nat).
1.49/1.76	thf(decl_431, type, produc4441300235185154312at_nat: set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat) > set_Pr5564308138774400199at_nat).
1.49/1.76	thf(decl_432, type, produc7726050920695093128at_nat: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_433, type, produc6258361011560675592at_nat: set_se5479201105039950375at_nat > (set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat) > set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_434, type, produc8604563337118726038on_val: ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_435, type, produc7822372560581557379on_val: ((produc1457211279475724562t_char > prat) > nat) > produc9003781588162623004on_val > produc2951589610084125259on_val).
1.49/1.76	thf(decl_436, type, produc7691703001529815225at_nat: ((produc1457211279475724562t_char > prat) > nat) > produc4488441066493689938at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_437, type, produc1063798742662147279on_val: ((produc1457211279475724562t_char > prat) > produc9003781588162623004on_val) > produc9003781588162623004on_val > produc1565333989489532311on_val).
1.49/1.76	thf(decl_438, type, produc6059101059804679249on_val: ((produc1457211279475724562t_char > prat) > produc9003781588162623004on_val) > produc6044295944641995166on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_439, type, produc3730451593991314596on_val: ((produc1457211279475724562t_char > prat) > set_Pr1261947904930325089at_nat) > produc9003781588162623004on_val > produc4610002585046504234on_val).
1.49/1.76	thf(decl_440, type, produc1982046010511310167at_nat: ((produc1457211279475724562t_char > prat) > set_Pr1261947904930325089at_nat) > produc4713179677268996085at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_441, type, produc2235273608163267722on_val: ((produc1457211279475724562t_char > prat) > set_Pr4329608150637261639at_nat) > produc9003781588162623004on_val > produc329435290854529168on_val).
1.49/1.76	thf(decl_442, type, produc3036412456634812887at_nat: ((produc1457211279475724562t_char > prat) > set_Pr4329608150637261639at_nat) > produc9047456203362026587at_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_443, type, produc986720760941809198at_nat: (nat > nat) > product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_444, type, produc3054129509749704210on_val: (produc9003781588162623004on_val > produc9003781588162623004on_val) > produc1317171644805857433on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_445, type, produc5380969780118646373at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_446, type, produc6529295065807390923at_nat: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat) > produc1319942482725812455at_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_447, type, produc1735415053012026015r_prat: ((produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_448, type, produc6779024961348319977r_prat: ((produc1457211279475724562t_char > option_val) > nat) > produc9003781588162623004on_val > produc4488441066493689938at_nat).
1.49/1.76	thf(decl_449, type, produc3479886823388342458at_nat: ((produc1457211279475724562t_char > option_val) > nat) > produc2951589610084125259on_val > product_prod_nat_nat).
1.49/1.76	thf(decl_450, type, produc7115516623398600349r_prat: ((produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val) > produc9003781588162623004on_val > produc6044295944641995166on_val).
1.49/1.76	thf(decl_451, type, produc4375914351996332626on_val: ((produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val) > produc1565333989489532311on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_452, type, produc818678705018253770r_prat: ((produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc9003781588162623004on_val > produc4713179677268996085at_nat).
1.49/1.76	thf(decl_453, type, produc1458986165287348184at_nat: ((produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc4610002585046504234on_val > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_454, type, produc8076712183867557860r_prat: ((produc1457211279475724562t_char > option_val) > set_Pr4329608150637261639at_nat) > produc9003781588162623004on_val > produc9047456203362026587at_nat).
1.49/1.76	thf(decl_455, type, produc8540158291859151192at_nat: ((produc1457211279475724562t_char > option_val) > set_Pr4329608150637261639at_nat) > produc329435290854529168on_val > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_456, type, produc3094765310956027504at_nat: (nat > nat) > product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_457, type, produc4354335345776199764on_val: (produc9003781588162623004on_val > produc9003781588162623004on_val) > produc1317171644805857433on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_458, type, produc6468969725218530979at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_459, type, produc8057050257526108681at_nat: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat) > produc1319942482725812455at_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_460, type, produc9184331568460336180_val_o: (produc9003781588162623004on_val > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_461, type, produc1310100445399344235_nat_o: (product_prod_nat_nat > $o) > nat > nat > $o).
1.49/1.76	thf(decl_462, type, produc4800927984219439315_val_o: (produc1317171644805857433on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_463, type, produc7820828192191229133_nat_o: (produc3843707927480180839at_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_464, type, produc447603880154497357_nat_o: (produc1319942482725812455at_nat > $o) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_465, type, produc9139807813499881076_nat_o: (nat > nat > $o) > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_466, type, produc8229809728907007980on_val: ((produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat) > ((produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_467, type, produc43609526583453465al_nat: ((produc1457211279475724562t_char > prat) > nat) > ((produc1457211279475724562t_char > option_val) > nat) > produc9003781588162623004on_val > product_prod_nat_nat).
1.49/1.76	thf(decl_468, type, produc80519066440111489at_nat: ((produc1457211279475724562t_char > prat) > set_Pr1261947904930325089at_nat) > ((produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc9003781588162623004on_val > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_469, type, produc7620138996006934647on_val: (nat > produc1457211279475724562t_char > prat) > (nat > produc1457211279475724562t_char > option_val) > product_prod_nat_nat > produc9003781588162623004on_val).
1.49/1.76	thf(decl_470, type, produc6977886695330630970at_nat: (nat > nat) > (nat > nat) > product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_471, type, produc9062365837733128983at_nat: (nat > nat) > (nat > product_prod_nat_nat) > product_prod_nat_nat > produc7248412053542808358at_nat).
1.49/1.76	thf(decl_472, type, produc5702318444690413881at_nat: (nat > nat) > (product_prod_nat_nat > nat) > produc7248412053542808358at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_473, type, produc415658797863765080at_nat: (nat > nat) > (product_prod_nat_nat > product_prod_nat_nat) > produc7248412053542808358at_nat > produc7248412053542808358at_nat).
1.49/1.76	thf(decl_474, type, produc8306735474602065755at_nat: (nat > product_prod_nat_nat) > (nat > nat) > product_prod_nat_nat > produc8373899037510109440at_nat).
1.49/1.76	thf(decl_475, type, produc1153188318382123958at_nat: (nat > product_prod_nat_nat) > (nat > product_prod_nat_nat) > product_prod_nat_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_476, type, produc7016512962194184664at_nat: (nat > product_prod_nat_nat) > (product_prod_nat_nat > nat) > produc7248412053542808358at_nat > produc8373899037510109440at_nat).
1.49/1.76	thf(decl_477, type, produc7508474501381341110at_nat: (nat > set_Pr1261947904930325089at_nat) > (nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_478, type, produc4335541784258701750at_nat: (nat > set_Pr4329608150637261639at_nat) > (nat > set_Pr4329608150637261639at_nat) > product_prod_nat_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_479, type, produc3053662887905975677at_nat: (product_prod_nat_nat > nat) > (nat > nat) > produc8373899037510109440at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_480, type, produc8516801393723169556at_nat: (product_prod_nat_nat > nat) > (nat > product_prod_nat_nat) > produc8373899037510109440at_nat > produc7248412053542808358at_nat).
1.49/1.76	thf(decl_481, type, produc5156754000680454454at_nat: (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > produc859450856879609959at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_482, type, produc7147751436741673334at_nat: (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > produc859450856879609959at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_483, type, produc7086866273048947766at_nat: (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > produc859450856879609959at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_484, type, produc5401137359855225427on_val: (set_Pr1261947904930325089at_nat > produc1457211279475724562t_char > prat) > (set_Pr1261947904930325089at_nat > produc1457211279475724562t_char > option_val) > produc3843707927480180839at_nat > produc9003781588162623004on_val).
1.49/1.76	thf(decl_485, type, produc7374836315209622838at_nat: (set_Pr1261947904930325089at_nat > nat) > (set_Pr1261947904930325089at_nat > nat) > produc3843707927480180839at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_486, type, produc7088885278352459446at_nat: (set_Pr1261947904930325089at_nat > product_prod_nat_nat) > (set_Pr1261947904930325089at_nat > product_prod_nat_nat) > produc3843707927480180839at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_487, type, produc2919989534363857270at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_488, type, produc848601693394795062at_nat: (set_Pr4329608150637261639at_nat > nat) > (set_Pr4329608150637261639at_nat > nat) > produc1319942482725812455at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_489, type, produc5226666187743293259prat_o: ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > $o) > produc7776263825685906734r_prat > $o).
1.49/1.76	thf(decl_490, type, produc4110721796449090601on_val: ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > produc9003781588162623004on_val) > produc7776263825685906734r_prat > produc9003781588162623004on_val).
1.49/1.76	thf(decl_491, type, produc985966260317727453on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_492, type, produc5787256515117077072r_prat: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_493, type, produc5248837549992124053_val_o: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_494, type, produc2964738055033037937r_prat: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc7776263825685906734r_prat) > produc9003781588162623004on_val > produc7776263825685906734r_prat).
1.49/1.76	thf(decl_495, type, produc4192255817509754207on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_496, type, produc3420870819319363678at_nat: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc9003781588162623004on_val > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_497, type, produc1189167454169668036at_nat: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr8693737435421807431at_nat) > produc9003781588162623004on_val > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_498, type, produc8739625826339149834_nat_o: (nat > nat > product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_499, type, produc6081775807080527818_nat_o: (nat > nat > $o) > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_500, type, produc5050726480593351786on_val: (nat > nat > produc9003781588162623004on_val) > product_prod_nat_nat > produc9003781588162623004on_val).
1.49/1.76	thf(decl_501, type, produc2626176000494625587at_nat: (nat > nat > product_prod_nat_nat) > product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_502, type, produc6297632682853138123on_val: (nat > nat > produc1317171644805857433on_val) > product_prod_nat_nat > produc1317171644805857433on_val).
1.49/1.76	thf(decl_503, type, produc2382474379627796377at_nat: (nat > nat > produc859450856879609959at_nat) > product_prod_nat_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_504, type, produc153460504799203225at_nat: (nat > nat > produc3843707927480180839at_nat) > product_prod_nat_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_505, type, produc5613386679804371481at_nat: (nat > nat > produc1319942482725812455at_nat) > product_prod_nat_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_506, type, produc9171785124108960544on_val: (nat > nat > set_Pr7649655576376376530on_val) > product_prod_nat_nat > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_507, type, produc8197505143624133779at_nat: (nat > nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_508, type, produc2423807293333670521at_nat: (nat > nat > set_Pr8693737435421807431at_nat) > product_prod_nat_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_509, type, produc3705604114177432185at_nat: (nat > nat > set_Pr4329608150637261639at_nat) > product_prod_nat_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_510, type, produc1906844705236591486_val_o: (nat > produc9003781588162623004on_val > $o) > produc2138146677468684109on_val > $o).
1.49/1.76	thf(decl_511, type, produc7480869177107369060_nat_o: (nat > product_prod_nat_nat > produc7248412053542808358at_nat > $o) > produc7248412053542808358at_nat > produc7248412053542808358at_nat > $o).
1.49/1.76	thf(decl_512, type, produc5864757623865647827_nat_o: (nat > product_prod_nat_nat > $o) > produc7248412053542808358at_nat > $o).
1.49/1.76	thf(decl_513, type, produc1908958340173245860_nat_o: (nat > set_Pr1261947904930325089at_nat > produc3313772616054891654at_nat > $o) > produc3313772616054891654at_nat > produc3313772616054891654at_nat > $o).
1.49/1.76	thf(decl_514, type, produc7997411485876045171_nat_o: (nat > set_Pr1261947904930325089at_nat > $o) > produc3313772616054891654at_nat > $o).
1.49/1.76	thf(decl_515, type, produc5057885034201482878_nat_o: (produc9003781588162623004on_val > nat > $o) > produc4583794713730567757al_nat > $o).
1.49/1.76	thf(decl_516, type, produc1845727980445322802_val_o: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc1317171644805857433on_val > $o).
1.49/1.76	thf(decl_517, type, produc7846207541802040627on_val: (produc9003781588162623004on_val > produc9003781588162623004on_val > produc1317171644805857433on_val) > produc1317171644805857433on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_518, type, produc8420946574280188703_nat_o: (produc9003781588162623004on_val > product_prod_nat_nat > $o) > produc8271722145941708506at_nat > $o).
1.49/1.76	thf(decl_519, type, produc6198819664464039784_nat_o: (product_prod_nat_nat > nat > produc8373899037510109440at_nat > $o) > produc8373899037510109440at_nat > produc8373899037510109440at_nat > $o).
1.49/1.76	thf(decl_520, type, produc8758269395934548017_nat_o: (product_prod_nat_nat > nat > $o) > produc8373899037510109440at_nat > $o).
1.49/1.76	thf(decl_521, type, produc3458391012123660517_val_o: (product_prod_nat_nat > produc9003781588162623004on_val > $o) > produc5414607237814678604on_val > $o).
1.49/1.76	thf(decl_522, type, produc5077327844045112642_nat_o: (product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat > $o) > produc859450856879609959at_nat > produc859450856879609959at_nat > $o).
1.49/1.76	thf(decl_523, type, produc6590410687421337004_nat_o: (product_prod_nat_nat > product_prod_nat_nat > $o) > produc859450856879609959at_nat > $o).
1.49/1.76	thf(decl_524, type, produc2982569246487150357at_nat: (product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat) > produc859450856879609959at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_525, type, produc6744312701629110395at_nat: (product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat) > produc859450856879609959at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_526, type, produc765791401832464507at_nat: (product_prod_nat_nat > product_prod_nat_nat > produc3843707927480180839at_nat) > produc859450856879609959at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_527, type, produc8821334275656303938_nat_o: (product_prod_nat_nat > set_Pr1261947904930325089at_nat > produc7192094812858977735at_nat > $o) > produc7192094812858977735at_nat > produc7192094812858977735at_nat > $o).
1.49/1.76	thf(decl_528, type, produc7695416289158663244_nat_o: (product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o) > produc7192094812858977735at_nat > $o).
1.49/1.76	thf(decl_529, type, produc2869316064735525022_nat_o: (produc7248412053542808358at_nat > produc7248412053542808358at_nat > $o) > produc6277219514840344877at_nat > $o).
1.49/1.76	thf(decl_530, type, produc7830147906768200158_nat_o: (produc3313772616054891654at_nat > produc3313772616054891654at_nat > $o) > produc2714363965264676845at_nat > $o).
1.49/1.76	thf(decl_531, type, produc3600351907215576810_nat_o: (produc8373899037510109440at_nat > produc8373899037510109440at_nat > $o) > produc5224906263214031073at_nat > $o).
1.49/1.76	thf(decl_532, type, produc3603361296207914284_nat_o: (produc859450856879609959at_nat > produc859450856879609959at_nat > $o) > produc349518998152878311at_nat > $o).
1.49/1.76	thf(decl_533, type, produc3676778756977593644_nat_o: (produc7192094812858977735at_nat > produc7192094812858977735at_nat > $o) > produc5602960702702913767at_nat > $o).
1.49/1.76	thf(decl_534, type, produc8701595406162815018_nat_o: (produc366245978424229472at_nat > produc366245978424229472at_nat > $o) > produc2087150632810049441at_nat > $o).
1.49/1.76	thf(decl_535, type, produc4641403137511177516_nat_o: (produc427138148967705351at_nat > produc427138148967705351at_nat > $o) > produc6865100024664242407at_nat > $o).
1.49/1.76	thf(decl_536, type, produc1561160019221259564_nat_o: (produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o) > produc1906917888121415911at_nat > $o).
1.49/1.76	thf(decl_537, type, produc6304834068385745886_nat_o: (produc6652242454236649670at_nat > produc6652242454236649670at_nat > $o) > produc1453148701817988333at_nat > $o).
1.49/1.76	thf(decl_538, type, produc7110675705651593384_nat_o: (set_Pr1261947904930325089at_nat > nat > produc366245978424229472at_nat > $o) > produc366245978424229472at_nat > produc366245978424229472at_nat > $o).
1.49/1.76	thf(decl_539, type, produc3595121349294487249_nat_o: (set_Pr1261947904930325089at_nat > nat > $o) > produc366245978424229472at_nat > $o).
1.49/1.76	thf(decl_540, type, produc3500598050016679234_nat_o: (set_Pr1261947904930325089at_nat > product_prod_nat_nat > produc427138148967705351at_nat > $o) > produc427138148967705351at_nat > produc427138148967705351at_nat > $o).
1.49/1.76	thf(decl_541, type, produc743548188471107340_nat_o: (set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o) > produc427138148967705351at_nat > $o).
1.49/1.76	thf(decl_542, type, produc1971064617671185730_nat_o: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat > produc3843707927480180839at_nat > $o).
1.49/1.76	thf(decl_543, type, produc410239310623530412_nat_o: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > produc3843707927480180839at_nat > $o).
1.49/1.76	thf(decl_544, type, produc2376066862417776405at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat) > produc3843707927480180839at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_545, type, produc206073279755593851at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc859450856879609959at_nat) > produc3843707927480180839at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_546, type, produc7548845685434208379at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat) > produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_547, type, produc8012008445033413566on_val: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr7649655576376376530on_val) > produc3843707927480180839at_nat > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_548, type, produc1433696742876942453at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_549, type, produc275446641266004827at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat) > produc3843707927480180839at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_550, type, produc1539332156905558875at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_551, type, produc3582348002201993308_nat_o: (set_Pr4329608150637261639at_nat > nat > produc6652242454236649670at_nat > $o) > produc6652242454236649670at_nat > produc6652242454236649670at_nat > $o).
1.49/1.76	thf(decl_552, type, produc6668815691043536491_nat_o: (set_Pr4329608150637261639at_nat > nat > $o) > produc6652242454236649670at_nat > $o).
1.49/1.76	thf(decl_553, type, produc9020218426428501292_nat_o: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > produc1319942482725812455at_nat > $o).
1.49/1.76	thf(decl_554, type, produc5456455677105495163at_nat: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat) > produc1319942482725812455at_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_555, type, produc6116476718443979321on_val: produc1757238238866670357on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_556, type, produc7062428706300765684r_prat: produc7776263825685906734r_prat > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_557, type, produc5239619271231976746on_val: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_558, type, produc2193917115357690435r_prat: produc3336119888008106215r_prat > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_559, type, product_fst_nat_nat: product_prod_nat_nat > nat).
1.49/1.76	thf(decl_560, type, produc7982242761980330092at_nat: produc7248412053542808358at_nat > nat).
1.49/1.76	thf(decl_561, type, produc5794669274478512978at_nat: produc4916430405095635084at_nat > nat).
1.49/1.76	thf(decl_562, type, produc3129717363260770749on_val: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_563, type, produc2323562575164511008at_nat: produc8271722145941708506at_nat > produc9003781588162623004on_val).
1.49/1.76	thf(decl_564, type, produc3213797794245857475at_nat: produc859450856879609959at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_565, type, produc7998413079968509225at_nat: produc39072733474941005at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_566, type, produc3408962115674613033at_nat: produc8430705068416227405at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_567, type, produc4362022507300774877at_nat: produc7148259590854449153at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_568, type, produc7253857937018302787at_nat: produc349518998152878311at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_569, type, produc7486072714475936067at_nat: produc1034191653824608487at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_570, type, produc9061435184492477405at_nat: produc560747048475658241at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_571, type, produc6021103657482432835at_nat: produc1906917888121415911at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_572, type, produc6011863565407846595at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_573, type, produc4486455499028916547at_nat: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_574, type, produc1305954679496617083on_val: produc1757238238866670357on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_575, type, produc4142415063207305778r_prat: produc7776263825685906734r_prat > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_576, type, produc2319605628138516840on_val: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.49/1.76	thf(decl_577, type, produc5358294431189718917r_prat: produc3336119888008106215r_prat > produc1457211279475724562t_char > prat).
1.49/1.76	thf(decl_578, type, product_snd_nat_nat: product_prod_nat_nat > nat).
1.49/1.76	thf(decl_579, type, produc437328469718437375on_val: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.49/1.76	thf(decl_580, type, produc6408287024330202629at_nat: produc859450856879609959at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_581, type, produc4828242618666536811at_nat: produc39072733474941005at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_582, type, produc9109627233917564779at_nat: produc8430705068416227405at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_583, type, produc1191852045998802463at_nat: produc7148259590854449153at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_584, type, produc458091870023641221at_nat: produc349518998152878311at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_585, type, produc3561673524491468933at_nat: produc1034191653824608487at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_586, type, produc5538728265880653343at_nat: produc560747048475658241at_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_587, type, produc6345472114899077253at_nat: produc1906917888121415911at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_588, type, produc2937545259423399429at_nat: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_589, type, produc826222791318859909at_nat: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_590, type, produc5819413633627552064r_prat: produc7776263825685906734r_prat > produc9003781588162623004on_val).
1.49/1.76	thf(decl_591, type, produc3996604198558763126on_val: produc9003781588162623004on_val > produc7776263825685906734r_prat).
1.49/1.76	thf(decl_592, type, product_swap_nat_nat: product_prod_nat_nat > product_prod_nat_nat).
1.49/1.76	thf(decl_593, type, produc8960132906472719217on_val: produc1317171644805857433on_val > produc1317171644805857433on_val).
1.49/1.76	thf(decl_594, type, produc7225117575323628663at_nat: produc859450856879609959at_nat > produc859450856879609959at_nat).
1.49/1.76	thf(decl_595, type, produc3946833401584108663at_nat: produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.49/1.76	thf(decl_596, type, produc5396952528824381687at_nat: produc1319942482725812455at_nat > produc1319942482725812455at_nat).
1.49/1.76	thf(decl_597, type, produc747609993485717659on_val: set_Pr3433046674199179443r_prat > set_Pr1004501353197068112on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_598, type, produc929334515565554804at_nat: set_nat > set_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_599, type, produc6773009516019950738at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_600, type, produc3241716407206042770at_nat: set_se7855581050983116737at_nat > set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_601, type, field_nat: set_Pr1261947904930325089at_nat > set_nat).
1.49/1.76	thf(decl_602, type, field_9010718613293825679on_val: set_Pr4305388979797279737on_val > set_Pr7649655576376376530on_val).
1.49/1.76	thf(decl_603, type, field_4706345496283612622at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_604, type, field_3044959742847878580at_nat: set_Pr553994874890374343at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_605, type, field_2862844103579723188at_nat: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_606, type, field_3145993188331922222at_nat: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat).
1.49/1.76	thf(decl_607, type, field_1428494348145443988at_nat: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat).
1.49/1.76	thf(decl_608, type, id_Pro2258643101195443293at_nat: set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_609, type, id_on_nat: set_nat > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_610, type, id_on_1505035389332359999on_val: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val).
1.49/1.76	thf(decl_611, type, id_on_2554058798563519774at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_612, type, id_on_7917584626360399108at_nat: set_Pr8693737435421807431at_nat > set_Pr553994874890374343at_nat).
1.49/1.76	thf(decl_613, type, id_on_7869290023980668164at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat).
1.49/1.76	thf(decl_614, type, id_on_6713504163309144702at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_615, type, id_on_3275838214495744996at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_616, type, asym_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_617, type, asym_o6325306393319210090on_val: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > $o).
1.49/1.76	thf(decl_618, type, asym_o8546584678760569651at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o).
1.49/1.76	thf(decl_619, type, asym_o3144787024281459316at_nat: set_Pr7717912310451564380at_nat > set_Pr575275573428919693at_nat > $o).
1.49/1.76	thf(decl_620, type, asym_o4270274008248760398at_nat: set_Pr2539167527615954998at_nat > set_Pr7116486347545156417at_nat > $o).
1.49/1.76	thf(decl_621, type, asym_o9200482492015546265at_nat: set_Pr8693737435421807431at_nat > set_Pr553994874890374343at_nat > $o).
1.49/1.76	thf(decl_622, type, asym_o9101232109321078681at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o).
1.49/1.76	thf(decl_623, type, asym_o5033339280856310931at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_624, type, asym_o8654330542403097209at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o).
1.49/1.76	thf(decl_625, type, asymp_on_nat: set_nat > (nat > nat > $o) > $o).
1.49/1.76	thf(decl_626, type, asymp_3982633545749505022on_val: set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > $o).
1.49/1.76	thf(decl_627, type, asymp_3201933403969103519at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > product_prod_nat_nat > $o) > $o).
1.49/1.76	thf(decl_628, type, asymp_8721585889738326015at_nat: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > $o).
1.49/1.76	thf(decl_629, type, asymp_7147290840880511973at_nat: set_se5479201105039950375at_nat > (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > $o).
1.49/1.76	thf(decl_630, type, conver8203838583239980984r_prat: ((nat > produc9003781588162623004on_val) > (nat > produc1457211279475724562t_char > prat) > $o) > (nat > produc1457211279475724562t_char > prat) > (nat > produc9003781588162623004on_val) > $o).
1.49/1.76	thf(decl_631, type, conver3498139987538047730at_nat: ((nat > product_prod_nat_nat) > (nat > nat) > $o) > (nat > nat) > (nat > product_prod_nat_nat) > $o).
1.49/1.76	thf(decl_632, type, conver4900003399366114050r_prat: ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.49/1.76	thf(decl_633, type, conver3077193964297325112on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > $o).
1.49/1.76	thf(decl_634, type, conver3034012162531316304r_prat: ((product_prod_nat_nat > produc9003781588162623004on_val) > (product_prod_nat_nat > produc1457211279475724562t_char > prat) > $o) > (product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc9003781588162623004on_val) > $o).
1.49/1.76	thf(decl_635, type, conver4470774000191062694at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > nat) > $o) > (product_prod_nat_nat > nat) > (product_prod_nat_nat > product_prod_nat_nat) > $o).
1.49/1.76	thf(decl_636, type, conversep_nat_nat: (nat > nat > $o) > nat > nat > $o).
1.49/1.76	thf(decl_637, type, conver8051843669552012922at_nat: (nat > product_prod_nat_nat > $o) > product_prod_nat_nat > nat > $o).
1.49/1.76	thf(decl_638, type, conver1816161830495851136r_prat: (produc9003781588162623004on_val > (produc1457211279475724562t_char > prat) > $o) > (produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_639, type, conver1343519957138882863on_val: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.49/1.76	thf(decl_640, type, conver4691796276509297820at_nat: (product_prod_nat_nat > nat > $o) > nat > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_641, type, conver6965824823119931701at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.49/1.76	thf(decl_642, type, conver5243090411617913141at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.49/1.76	thf(decl_643, type, conver9095369822871743413at_nat: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o).
1.49/1.76	thf(decl_644, type, inv_image_nat_nat: set_Pr1261947904930325089at_nat > (nat > nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_645, type, inv_im2857804880773004637at_nat: set_Pr1261947904930325089at_nat > (product_prod_nat_nat > nat) > set_Pr8693737435421807431at_nat).
1.49/1.76	thf(decl_646, type, inv_im6750873321330482877at_nat: set_Pr1261947904930325089at_nat > (set_Pr1261947904930325089at_nat > nat) > set_Pr4329608150637261639at_nat).
1.49/1.76	thf(decl_647, type, inv_im2354225701593503139at_nat: set_Pr1261947904930325089at_nat > (set_Pr4329608150637261639at_nat > nat) > set_Pr7459493094073627847at_nat).
1.49/1.76	thf(decl_648, type, inv_im7322137579843302848al_nat: set_Pr4305388979797279737on_val > (nat > produc9003781588162623004on_val) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_649, type, inv_im8721129524585065343at_nat: set_Pr8693737435421807431at_nat > (nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat).
1.49/1.76	thf(decl_650, type, inv_im5896302226278515346at_nat: set_Pr8693737435421807431at_nat > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_651, type, inv_im984280340187844594at_nat: set_Pr8693737435421807431at_nat > (set_Pr1261947904930325089at_nat > product_prod_nat_nat) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_652, type, inv_im4437241714082187487at_nat: set_Pr4329608150637261639at_nat > (nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_653, type, inv_im8562125120543730994at_nat: set_Pr4329608150637261639at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_654, type, inv_im7023619800666061458at_nat: set_Pr4329608150637261639at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_655, type, inv_im2903009620893676101at_nat: set_Pr7459493094073627847at_nat > (nat > set_Pr4329608150637261639at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_656, type, irrefl_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.76	thf(decl_657, type, refl_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.76	thf(decl_658, type, refl_o6679066329051764061on_val: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > $o).
1.59/1.76	thf(decl_659, type, refl_o7122697186039111552at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o).
1.59/1.76	thf(decl_660, type, refl_o6679620997798956134at_nat: set_Pr8693737435421807431at_nat > set_Pr553994874890374343at_nat > $o).
1.59/1.76	thf(decl_661, type, refl_o7446464703481863270at_nat: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > $o).
1.59/1.76	thf(decl_662, type, refl_o6955724340487615712at_nat: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > $o).
1.59/1.76	thf(decl_663, type, refl_o6272981002401706822at_nat: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > $o).
1.59/1.76	thf(decl_664, type, relcom7349770684181336927on_val: ((nat > produc1457211279475724562t_char > prat) > (nat > produc9003781588162623004on_val) > $o) > ((nat > produc9003781588162623004on_val) > (nat > produc1457211279475724562t_char > option_val) > $o) > (nat > produc1457211279475724562t_char > prat) > (nat > produc1457211279475724562t_char > option_val) > $o).
1.59/1.76	thf(decl_665, type, relcom8186637903969514807at_nat: ((nat > nat) > (nat > product_prod_nat_nat) > $o) > ((nat > product_prod_nat_nat) > (nat > nat) > $o) > (nat > nat) > (nat > nat) > $o).
1.59/1.76	thf(decl_666, type, relcom7279225663578213656on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.76	thf(decl_667, type, relcom8684624306960484107on_val: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.76	thf(decl_668, type, relcom4197558024698484890on_val: ((produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.76	thf(decl_669, type, relcom756628661608191142on_val: ((product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc9003781588162623004on_val) > $o) > ((product_prod_nat_nat > produc9003781588162623004on_val) > (product_prod_nat_nat > produc1457211279475724562t_char > option_val) > $o) > (product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc1457211279475724562t_char > option_val) > $o).
1.59/1.76	thf(decl_670, type, relcom4236271064425356490at_nat: ((product_prod_nat_nat > nat) > (product_prod_nat_nat > product_prod_nat_nat) > $o) > ((product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > nat) > $o) > (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > $o).
1.59/1.76	thf(decl_671, type, relcompp_nat_nat_nat: (nat > nat > $o) > (nat > nat > $o) > nat > nat > $o).
1.59/1.76	thf(decl_672, type, relcom8572034174491624592at_nat: (nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > nat > $o) > nat > nat > $o).
1.59/1.76	thf(decl_673, type, relcom3050870033064515487at_nat: (product_prod_nat_nat > nat > $o) > (nat > product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.76	thf(decl_674, type, relcom282571730187242960at_nat: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.76	thf(decl_675, type, relcom8363394528208558896at_nat: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.76	thf(decl_676, type, total_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.76	thf(decl_677, type, total_3592101749530773125at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o).
1.59/1.76	thf(decl_678, type, trans_on_nat: set_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.76	thf(decl_679, type, trans_3241703717017304737at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > $o).
1.59/1.76	thf(decl_680, type, collec2477365322772234464on_val: ((nat > produc9003781588162623004on_val) > $o) > set_na3731733139948239937on_val).
1.59/1.76	thf(decl_681, type, collec8718012497556192979at_nat: ((nat > product_prod_nat_nat) > $o) > set_na8845969913329135560at_nat).
1.59/1.76	thf(decl_682, type, collec8455114619259388271on_val: ((produc1457211279475724562t_char > option_val) > $o) > set_Pr1004501353197068112on_val).
1.59/1.76	thf(decl_683, type, collec7093475260167521854r_prat: ((produc1457211279475724562t_char > prat) > $o) > set_Pr3433046674199179443r_prat).
1.59/1.76	thf(decl_684, type, collec5030907905214230265on_val: ((product_prod_nat_nat > produc9003781588162623004on_val) > $o) > set_Pr4636196140548262638on_val).
1.59/1.76	thf(decl_685, type, collec248804655031457914at_nat: ((product_prod_nat_nat > product_prod_nat_nat) > $o) > set_Pr2458342521480944603at_nat).
1.59/1.76	thf(decl_686, type, collect_nat: (nat > $o) > set_nat).
1.59/1.76	thf(decl_687, type, collect_option_val: (option_val > $o) > set_option_val).
1.59/1.76	thf(decl_688, type, collect_option_state: (option_state > $o) > set_option_state).
1.59/1.76	thf(decl_689, type, collec6247776740490166275r_prat: (produc7776263825685906734r_prat > $o) > set_Pr2871993341207995108r_prat).
1.59/1.76	thf(decl_690, type, collec7475294502966882545on_val: (produc9003781588162623004on_val > $o) > set_Pr7649655576376376530on_val).
1.59/1.76	thf(decl_691, type, collec3392354462482085612at_nat: (product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_692, type, collec5872124358691874360on_val: (produc2138146677468684109on_val > $o) > set_Pr4398582090927901101on_val).
1.59/1.76	thf(decl_693, type, collec5903703980526211963at_nat: (produc7248412053542808358at_nat > $o) > set_Pr7717912310451564380at_nat).
1.59/1.76	thf(decl_694, type, collec8317772394953758008al_nat: (produc4583794713730567757al_nat > $o) > set_Pr8647644037284952237al_nat).
1.59/1.76	thf(decl_695, type, collec5166231387257825412on_val: (produc1317171644805857433on_val > $o) > set_Pr4305388979797279737on_val).
1.59/1.76	thf(decl_696, type, collec927009928073930287at_nat: (produc8271722145941708506at_nat > $o) > set_Pr1142523028707314192at_nat).
1.59/1.76	thf(decl_697, type, collec7029190964493513045at_nat: (produc8373899037510109440at_nat > $o) > set_Pr2539167527615954998at_nat).
1.59/1.76	thf(decl_698, type, collec7293267056801676193on_val: (produc5414607237814678604on_val > $o) > set_Pr6637471833410209410on_val).
1.59/1.76	thf(decl_699, type, collec7088162979684241874at_nat: (produc859450856879609959at_nat > $o) > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_700, type, collec3253044014973990424at_nat: (produc6277219514840344877at_nat > $o) > set_Pr575275573428919693at_nat).
1.59/1.76	thf(decl_701, type, collec2088441199205367000at_nat: (produc2714363965264676845at_nat > $o) > set_Pr2072254264782222413at_nat).
1.59/1.76	thf(decl_702, type, collec2200730763347676620at_nat: (produc5224906263214031073at_nat > $o) > set_Pr7116486347545156417at_nat).
1.59/1.76	thf(decl_703, type, collec7334067512558549330at_nat: (produc349518998152878311at_nat > $o) > set_Pr553994874890374343at_nat).
1.59/1.76	thf(decl_704, type, collec1712228713741422930at_nat: (produc5602960702702913767at_nat > $o) > set_Pr1386498806471529671at_nat).
1.59/1.76	thf(decl_705, type, collec1461227866750739596at_nat: (produc2087150632810049441at_nat > $o) > set_Pr5070339090747523585at_nat).
1.59/1.76	thf(decl_706, type, collec2974368035702751570at_nat: (produc6865100024664242407at_nat > $o) > set_Pr5975235057897686215at_nat).
1.59/1.76	thf(decl_707, type, collec223960383693904210at_nat: (produc1906917888121415911at_nat > $o) > set_Pr5564308138774400199at_nat).
1.59/1.76	thf(decl_708, type, collec6386531722299773144at_nat: (produc1453148701817988333at_nat > $o) > set_Pr4866422242337585741at_nat).
1.59/1.76	thf(decl_709, type, collec6321179662152712658at_nat: (produc3843707927480180839at_nat > $o) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_710, type, collec7872792499061297490at_nat: (produc1319942482725812455at_nat > $o) > set_Pr7459493094073627847at_nat).
1.59/1.76	thf(decl_711, type, collec5514110066124741708at_nat: (set_Pr1261947904930325089at_nat > $o) > set_se7855581050983116737at_nat).
1.59/1.76	thf(decl_712, type, collec4573900263915890866at_nat: (set_Pr4329608150637261639at_nat > $o) > set_se5479201105039950375at_nat).
1.59/1.76	thf(decl_713, type, image_8136294080383932403on_val: ((produc1457211279475724562t_char > option_val) > set_Pr7649655576376376530on_val) > set_Pr1004501353197068112on_val > set_se4121305487623298184on_val).
1.59/1.76	thf(decl_714, type, image_4386470036779017822on_val: ((produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val) > set_Pr3433046674199179443r_prat > set_se6878779149560807558on_val).
1.59/1.76	thf(decl_715, type, image_3306202642189553376on_val: ((produc1457211279475724562t_char > prat) > set_Pr7649655576376376530on_val) > set_Pr3433046674199179443r_prat > set_se4121305487623298184on_val).
1.59/1.76	thf(decl_716, type, image_val_option_val: (val > option_val) > set_val > set_option_val).
1.59/1.76	thf(decl_717, type, image_954018951882482801on_val: (nat > produc1457211279475724562t_char > option_val) > set_nat > set_Pr1004501353197068112on_val).
1.59/1.76	thf(decl_718, type, image_1918150703725107644r_prat: (nat > produc1457211279475724562t_char > prat) > set_nat > set_Pr3433046674199179443r_prat).
1.59/1.76	thf(decl_719, type, image_nat_nat: (nat > nat) > set_nat > set_nat).
1.59/1.76	thf(decl_720, type, image_nat_option_nat: (nat > option_nat) > set_nat > set_option_nat).
1.59/1.76	thf(decl_721, type, image_5220263881187111155on_val: (nat > produc9003781588162623004on_val) > set_nat > set_Pr7649655576376376530on_val).
1.59/1.76	thf(decl_722, type, image_5846123807819985514at_nat: (nat > product_prod_nat_nat) > set_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_723, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat).
1.59/1.76	thf(decl_724, type, image_7178329752028323786at_nat: (nat > set_Pr1261947904930325089at_nat) > set_nat > set_se7855581050983116737at_nat).
1.59/1.76	thf(decl_725, type, image_1087905878993176368at_nat: (nat > set_Pr4329608150637261639at_nat) > set_nat > set_se5479201105039950375at_nat).
1.59/1.76	thf(decl_726, type, image_option_val_val: (option_val > val) > set_option_val > set_val).
1.59/1.76	thf(decl_727, type, image_3532137647693456075_state: (option_state > state) > set_option_state > set_state).
1.59/1.76	thf(decl_728, type, image_6076465424260689483_state: (state > option_state) > set_state > set_option_state).
1.59/1.76	thf(decl_729, type, image_1698057272686278225on_val: (produc7776263825685906734r_prat > produc9003781588162623004on_val) > set_Pr2871993341207995108r_prat > set_Pr7649655576376376530on_val).
1.59/1.76	thf(decl_730, type, image_2330660378567450301on_val: (produc9003781588162623004on_val > produc1457211279475724562t_char > option_val) > set_Pr7649655576376376530on_val > set_Pr1004501353197068112on_val).
1.59/1.76	thf(decl_731, type, image_3067683418878703216r_prat: (produc9003781588162623004on_val > produc1457211279475724562t_char > prat) > set_Pr7649655576376376530on_val > set_Pr3433046674199179443r_prat).
1.59/1.76	thf(decl_732, type, image_2943372182239103057r_prat: (produc9003781588162623004on_val > produc7776263825685906734r_prat) > set_Pr7649655576376376530on_val > set_Pr2871993341207995108r_prat).
1.59/1.76	thf(decl_733, type, image_4170889944715819327on_val: (produc9003781588162623004on_val > produc9003781588162623004on_val) > set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val).
1.59/1.76	thf(decl_734, type, image_3154293121060339486at_nat: (produc9003781588162623004on_val > product_prod_nat_nat) > set_Pr7649655576376376530on_val > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_735, type, image_3026073218995088406on_val: (produc9003781588162623004on_val > set_Pr4305388979797279737on_val) > set_Pr7649655576376376530on_val > set_se7232742072776115033on_val).
1.59/1.76	thf(decl_736, type, image_3693632289388996572_nat_o: (product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat > set_o).
1.59/1.76	thf(decl_737, type, image_2486076414777270412at_nat: (product_prod_nat_nat > nat) > set_Pr1261947904930325089at_nat > set_nat).
1.59/1.76	thf(decl_738, type, image_4198897800814241419at_nat: (product_prod_nat_nat > option4927543243414619207at_nat) > set_Pr1261947904930325089at_nat > set_op4508134149509766951at_nat).
1.59/1.76	thf(decl_739, type, image_1778330534009140952on_val: (product_prod_nat_nat > produc9003781588162623004on_val) > set_Pr1261947904930325089at_nat > set_Pr7649655576376376530on_val).
1.59/1.76	thf(decl_740, type, image_5168914502847457605at_nat: (product_prod_nat_nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_741, type, image_1862905170067107298at_nat: (product_prod_nat_nat > produc7248412053542808358at_nat) > set_Pr1261947904930325089at_nat > set_Pr7717912310451564380at_nat).
1.59/1.76	thf(decl_742, type, image_6967685473649684701on_val: (product_prod_nat_nat > produc1317171644805857433on_val) > set_Pr1261947904930325089at_nat > set_Pr4305388979797279737on_val).
1.59/1.76	thf(decl_743, type, image_2988392154034408380at_nat: (product_prod_nat_nat > produc8373899037510109440at_nat) > set_Pr1261947904930325089at_nat > set_Pr2539167527615954998at_nat).
1.59/1.76	thf(decl_744, type, image_1119892238107900587at_nat: (product_prod_nat_nat > produc859450856879609959at_nat) > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_745, type, image_1672857615394513579at_nat: (product_prod_nat_nat > produc3843707927480180839at_nat) > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_746, type, image_1048906336043994923at_nat: (product_prod_nat_nat > produc1319942482725812455at_nat) > set_Pr1261947904930325089at_nat > set_Pr7459493094073627847at_nat).
1.59/1.76	thf(decl_747, type, image_5423882813909314213at_nat: (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat).
1.59/1.76	thf(decl_748, type, image_2960450939771910141at_nat: (produc7248412053542808358at_nat > nat) > set_Pr7717912310451564380at_nat > set_nat).
1.59/1.76	thf(decl_749, type, image_6167232457338462356at_nat: (produc7248412053542808358at_nat > product_prod_nat_nat) > set_Pr7717912310451564380at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_750, type, image_7499486920669067219at_nat: (produc7248412053542808358at_nat > produc7248412053542808358at_nat) > set_Pr7717912310451564380at_nat > set_Pr7717912310451564380at_nat).
1.59/1.76	thf(decl_751, type, image_8624973904636368301at_nat: (produc7248412053542808358at_nat > produc8373899037510109440at_nat) > set_Pr7717912310451564380at_nat > set_Pr2539167527615954998at_nat).
1.59/1.76	thf(decl_752, type, image_8126111929026432099at_nat: (produc4916430405095635084at_nat > nat) > set_Pr1625285437083415874at_nat > set_nat).
1.59/1.76	thf(decl_753, type, image_7325970737918433093on_val: (produc1317171644805857433on_val > produc1317171644805857433on_val) > set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val).
1.59/1.76	thf(decl_754, type, image_3229096548743918333on_val: (produc8271722145941708506at_nat > produc9003781588162623004on_val) > set_Pr1142523028707314192at_nat > set_Pr7649655576376376530on_val).
1.59/1.76	thf(decl_755, type, image_8369444115148354106at_nat: (produc8373899037510109440at_nat > product_prod_nat_nat) > set_Pr2539167527615954998at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_756, type, image_2402546415023586989at_nat: (produc8373899037510109440at_nat > produc7248412053542808358at_nat) > set_Pr2539167527615954998at_nat > set_Pr7717912310451564380at_nat).
1.59/1.76	thf(decl_757, type, image_6706873702294942047at_nat: (produc859450856879609959at_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_758, type, image_6321802852832981957at_nat: (produc859450856879609959at_nat > produc859450856879609959at_nat) > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_759, type, image_7637461350386011077at_nat: (produc859450856879609959at_nat > produc3843707927480180839at_nat) > set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_760, type, image_7444983900720083193at_nat: (produc8430705068416227405at_nat > product_prod_nat_nat) > set_Pr6615861603993638061at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_761, type, image_2020710134525389919at_nat: (produc8430705068416227405at_nat > produc3843707927480180839at_nat) > set_Pr6615861603993638061at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_762, type, image_229310333994078635at_nat: (produc7148259590854449153at_nat > produc859450856879609959at_nat) > set_Pr846279711151727201at_nat > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_763, type, image_2925403533633446213at_nat: (produc1034191653824608487at_nat > produc859450856879609959at_nat) > set_Pr2541250129553540295at_nat > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_764, type, image_1780646082475352133at_nat: (produc560747048475658241at_nat > product_prod_nat_nat) > set_Pr1868028757359454817at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_765, type, image_8065348968207030699at_nat: (produc560747048475658241at_nat > produc3843707927480180839at_nat) > set_Pr1868028757359454817at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_766, type, image_4030181298759670085at_nat: (produc1906917888121415911at_nat > produc3843707927480180839at_nat) > set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_767, type, image_7325330684212377951at_nat: (produc3843707927480180839at_nat > product_prod_nat_nat) > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_768, type, image_5653576389946358725at_nat: (produc3843707927480180839at_nat > produc859450856879609959at_nat) > set_Pr4329608150637261639at_nat > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_769, type, image_960689587819713477at_nat: (produc3843707927480180839at_nat > produc3843707927480180839at_nat) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_770, type, image_3313167189156628421at_nat: (produc1319942482725812455at_nat > produc1319942482725812455at_nat) > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat).
1.59/1.76	thf(decl_771, type, image_6521575952113991828at_nat: (set_nat > set_Pr1261947904930325089at_nat) > set_set_nat > set_se7855581050983116737at_nat).
1.59/1.76	thf(decl_772, type, image_6898982319499645995at_nat: (set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > set_se7855581050983116737at_nat > set_se5479201105039950375at_nat).
1.59/1.76	thf(decl_773, type, image_1124969593608450885at_nat: (set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat) > set_se5479201105039950375at_nat > set_se7592288975875140775at_nat).
1.59/1.76	thf(decl_774, type, insert216038912599248202on_val: (produc1457211279475724562t_char > option_val) > set_Pr1004501353197068112on_val > set_Pr1004501353197068112on_val).
1.59/1.76	thf(decl_775, type, insert8113562578550770211r_prat: (produc1457211279475724562t_char > prat) > set_Pr3433046674199179443r_prat > set_Pr3433046674199179443r_prat).
1.59/1.76	thf(decl_776, type, insert_val: val > set_val > set_val).
1.59/1.76	thf(decl_777, type, insert_nat: nat > set_nat > set_nat).
1.59/1.76	thf(decl_778, type, insert_option_val: option_val > set_option_val > set_option_val).
1.59/1.76	thf(decl_779, type, insert_option_nat: option_nat > set_option_nat > set_option_nat).
1.59/1.76	thf(decl_780, type, insert_option_state: option_state > set_option_state > set_option_state).
1.59/1.76	thf(decl_781, type, insert6842972033726296599at_nat: option4927543243414619207at_nat > set_op4508134149509766951at_nat > set_op4508134149509766951at_nat).
1.59/1.76	thf(decl_782, type, insert6833468608972679677at_nat: option8699557107911914541at_nat > set_op989438649584373901at_nat > set_op989438649584373901at_nat).
1.59/1.76	thf(decl_783, type, insert_state: state > set_state > set_state).
1.59/1.76	thf(decl_784, type, insert3030518898131756108on_val: produc9003781588162623004on_val > set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val).
1.59/1.76	thf(decl_785, type, insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_786, type, insert7062705985672971881on_val: produc1317171644805857433on_val > set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val).
1.59/1.76	thf(decl_787, type, insert5050368324300391991at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_788, type, insert8243672688981495325at_nat: produc8430705068416227405at_nat > set_Pr6615861603993638061at_nat > set_Pr6615861603993638061at_nat).
1.59/1.76	thf(decl_789, type, insert5475735164933346999at_nat: produc349518998152878311at_nat > set_Pr553994874890374343at_nat > set_Pr553994874890374343at_nat).
1.59/1.76	thf(decl_790, type, insert373714669040926161at_nat: produc560747048475658241at_nat > set_Pr1868028757359454817at_nat > set_Pr1868028757359454817at_nat).
1.59/1.76	thf(decl_791, type, insert398606708087465655at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > set_Pr5564308138774400199at_nat).
1.59/1.76	thf(decl_792, type, insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_793, type, insert291458823148189367at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat).
1.59/1.76	thf(decl_794, type, insert9200635055090092081at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > set_se7855581050983116737at_nat).
1.59/1.76	thf(decl_795, type, insert2290795007606087959at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > set_se5479201105039950375at_nat).
1.59/1.76	thf(decl_796, type, transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_797, type, transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_798, type, accp_state: (state > state > $o) > state > $o).
1.59/1.76	thf(decl_799, type, accp_P4405556307444930259on_val: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > $o).
1.59/1.76	thf(decl_800, type, accp_P224314924008452035t_char: (produc5803078220529002682t_char > produc5803078220529002682t_char > $o) > produc5803078220529002682t_char > $o).
1.59/1.76	thf(decl_801, type, accp_P4269981079083053040on_val: (produc5122021904355189735on_val > produc5122021904355189735on_val > $o) > produc5122021904355189735on_val > $o).
1.59/1.76	thf(decl_802, type, accp_P7183347322223220350_state: (produc3142500478612311029_state > produc3142500478612311029_state > $o) > produc3142500478612311029_state > $o).
1.59/1.76	thf(decl_803, type, accp_P6797916352740768290on_val: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > $o).
1.59/1.76	thf(decl_804, type, less_than: set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_805, type, lex_prod_nat_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_806, type, lex_pr8029265285556086080at_nat: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > set_Pr575275573428919693at_nat).
1.59/1.76	thf(decl_807, type, lex_pr4265550801952275104at_nat: set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > set_Pr2072254264782222413at_nat).
1.59/1.76	thf(decl_808, type, lex_pr4669217892513370978at_nat: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > set_Pr7116486347545156417at_nat).
1.59/1.76	thf(decl_809, type, lex_pr8801849515957261039at_nat: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > set_Pr553994874890374343at_nat).
1.59/1.76	thf(decl_810, type, lex_pr864846108736269391at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat > set_Pr1386498806471529671at_nat).
1.59/1.76	thf(decl_811, type, lex_pr1951919194703979714at_nat: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr5070339090747523585at_nat).
1.59/1.76	thf(decl_812, type, lex_pr8442690889092155791at_nat: set_Pr4329608150637261639at_nat > set_Pr8693737435421807431at_nat > set_Pr5975235057897686215at_nat).
1.59/1.76	thf(decl_813, type, lex_pr8000699672184251119at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat).
1.59/1.76	thf(decl_814, type, lex_pr1916850892004341160at_nat: set_Pr7459493094073627847at_nat > set_Pr1261947904930325089at_nat > set_Pr4866422242337585741at_nat).
1.59/1.76	thf(decl_815, type, max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_816, type, min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_817, type, pred_nat: set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_818, type, wf_nat: set_Pr1261947904930325089at_nat > $o).
1.59/1.76	thf(decl_819, type, wf_Pro7803398752247294826at_nat: set_Pr8693737435421807431at_nat > $o).
1.59/1.76	thf(decl_820, type, same_f8138205353876899841on_val: ((produc1457211279475724562t_char > prat) > $o) > ((produc1457211279475724562t_char > prat) > set_Pr4698884584343881589on_val) > set_Pr4305388979797279737on_val).
1.59/1.76	thf(decl_821, type, same_fst_nat_nat: (nat > $o) > (nat > set_Pr1261947904930325089at_nat) > set_Pr8693737435421807431at_nat).
1.59/1.76	thf(decl_822, type, same_f7521981028318775590on_val: (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > set_Pr4305388979797279737on_val) > set_Pr4590028993149660487on_val).
1.59/1.76	thf(decl_823, type, same_f1460074399991292076at_nat: (set_Pr1261947904930325089at_nat > $o) > (set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > set_Pr5564308138774400199at_nat).
1.59/1.76	thf(decl_824, type, same_f4504843259822650924at_nat: (set_Pr4329608150637261639at_nat > $o) > (set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat) > set_Pr1160274906116719815at_nat).
1.59/1.76	thf(decl_825, type, member798016022416105634on_val: (nat > produc9003781588162623004on_val) > set_na3731733139948239937on_val > $o).
1.59/1.76	thf(decl_826, type, member6743353555990375057at_nat: (nat > product_prod_nat_nat) > set_na8845969913329135560at_nat > $o).
1.59/1.76	thf(decl_827, type, member1577473829074448177on_val: (produc1457211279475724562t_char > option_val) > set_Pr1004501353197068112on_val > $o).
1.59/1.76	thf(decl_828, type, member2336342582916103932r_prat: (produc1457211279475724562t_char > prat) > set_Pr3433046674199179443r_prat > $o).
1.59/1.76	thf(decl_829, type, member3223413302433764535on_val: (product_prod_nat_nat > produc9003781588162623004on_val) > set_Pr4636196140548262638on_val > $o).
1.59/1.76	thf(decl_830, type, member8885076297122219836at_nat: (product_prod_nat_nat > product_prod_nat_nat) > set_Pr2458342521480944603at_nat > $o).
1.59/1.76	thf(decl_831, type, member_o: $o > set_o > $o).
1.59/1.76	thf(decl_832, type, member_val: val > set_val > $o).
1.59/1.76	thf(decl_833, type, member_nat: nat > set_nat > $o).
1.59/1.76	thf(decl_834, type, member_option_val: option_val > set_option_val > $o).
1.59/1.76	thf(decl_835, type, member_option_nat: option_nat > set_option_nat > $o).
1.59/1.76	thf(decl_836, type, member_option_state: option_state > set_option_state > $o).
1.59/1.76	thf(decl_837, type, member4602090469187516291on_val: option8887860577033306220on_val > set_op6240181410663953058on_val > $o).
1.59/1.76	thf(decl_838, type, member3954567711264315760at_nat: option4927543243414619207at_nat > set_op4508134149509766951at_nat > $o).
1.59/1.76	thf(decl_839, type, member1006457853298726870at_nat: option7387190471253296173at_nat > set_op6316616166620989581at_nat > $o).
1.59/1.76	thf(decl_840, type, member4288423094740844502at_nat: option8699557107911914541at_nat > set_op989438649584373901at_nat > $o).
1.59/1.76	thf(decl_841, type, member_state: state > set_state > $o).
1.59/1.76	thf(decl_842, type, member5502714215428086462on_val: produc1757238238866670357on_val > set_Pr4698884584343881589on_val > $o).
1.59/1.76	thf(decl_843, type, member1651512861525830341r_prat: produc7776263825685906734r_prat > set_Pr2871993341207995108r_prat > $o).
1.59/1.76	thf(decl_844, type, member2879030624002546611on_val: produc9003781588162623004on_val > set_Pr7649655576376376530on_val > $o).
1.59/1.76	thf(decl_845, type, member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.76	thf(decl_846, type, member6505152944228695362on_val: produc1317171644805857433on_val > set_Pr4305388979797279737on_val > $o).
1.59/1.76	thf(decl_847, type, member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o).
1.59/1.76	thf(decl_848, type, member6033505038158179318at_nat: produc39072733474941005at_nat > set_Pr9129816769188007085at_nat > $o).
1.59/1.76	thf(decl_849, type, member600271025443689462at_nat: produc8430705068416227405at_nat > set_Pr6615861603993638061at_nat > $o).
1.59/1.76	thf(decl_850, type, member3048279782668807382at_nat: produc6277219514840344877at_nat > set_Pr575275573428919693at_nat > $o).
1.59/1.76	thf(decl_851, type, member4107301959146914710at_nat: produc2714363965264676845at_nat > set_Pr2072254264782222413at_nat > $o).
1.59/1.76	thf(decl_852, type, member2023868432420333456on_val: produc3517408837545735783on_val > set_Pr4590028993149660487on_val > $o).
1.59/1.76	thf(decl_853, type, member1995966531042493578at_nat: produc5224906263214031073at_nat > set_Pr7116486347545156417at_nat > $o).
1.59/1.76	thf(decl_854, type, member3919319858682911658at_nat: produc7148259590854449153at_nat > set_Pr846279711151727201at_nat > $o).
1.59/1.76	thf(decl_855, type, member8062223511168850704at_nat: produc349518998152878311at_nat > set_Pr553994874890374343at_nat > $o).
1.59/1.76	thf(decl_856, type, member402237021265326864at_nat: produc1034191653824608487at_nat > set_Pr2541250129553540295at_nat > $o).
1.59/1.76	thf(decl_857, type, member4971006070143632144at_nat: produc5602960702702913767at_nat > set_Pr1386498806471529671at_nat > $o).
1.59/1.76	thf(decl_858, type, member3480088626692287306at_nat: produc2087150632810049441at_nat > set_Pr5070339090747523585at_nat > $o).
1.59/1.76	thf(decl_859, type, member6233145392104960784at_nat: produc6865100024664242407at_nat > set_Pr5975235057897686215at_nat > $o).
1.59/1.76	thf(decl_860, type, member1953685042357896106at_nat: produc560747048475658241at_nat > set_Pr1868028757359454817at_nat > $o).
1.59/1.76	thf(decl_861, type, member6009668390874684176at_nat: produc1906917888121415911at_nat > set_Pr5564308138774400199at_nat > $o).
1.59/1.76	thf(decl_862, type, member772972599301082518at_nat: produc1453148701817988333at_nat > set_Pr4866422242337585741at_nat > $o).
1.59/1.76	thf(decl_863, type, member8215962448328497936at_nat: produc1429535001352425191at_nat > set_Pr1160274906116719815at_nat > $o).
1.59/1.76	thf(decl_864, type, member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o).
1.59/1.76	thf(decl_865, type, member1466754251312161552at_nat: produc1319942482725812455at_nat > set_Pr7459493094073627847at_nat > $o).
1.59/1.76	thf(decl_866, type, member2643936169264416010at_nat: set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat > $o).
1.59/1.76	thf(decl_867, type, member6273874620674182256at_nat: set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat > $o).
1.59/1.76	thf(decl_868, type, a: state).
1.59/1.76	thf(decl_869, type, b: state).
1.59/1.76	thf(decl_870, type, x: state).
1.59/1.76	thf(decl_871, type, esk1_1: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_872, type, esk2_1: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_873, type, esk3_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_874, type, esk4_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > val).
1.59/1.76	thf(decl_875, type, esk5_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_876, type, esk6_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > val).
1.59/1.76	thf(decl_877, type, esk7_1: option_state > state).
1.59/1.76	thf(decl_878, type, esk8_1: option_val > val).
1.59/1.76	thf(decl_879, type, esk9_1: option_state > state).
1.59/1.76	thf(decl_880, type, esk10_1: option_val > val).
1.59/1.76	thf(decl_881, type, esk11_1: produc1317171644805857433on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_882, type, esk12_1: produc1317171644805857433on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_883, type, esk13_1: produc1317171644805857433on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_884, type, esk14_1: produc1317171644805857433on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_885, type, esk15_1: produc3142500478612311029_state > state).
1.59/1.76	thf(decl_886, type, esk16_1: produc3142500478612311029_state > state).
1.59/1.76	thf(decl_887, type, esk17_1: produc3142500478612311029_state > option_state).
1.59/1.76	thf(decl_888, type, esk18_1: produc3142500478612311029_state > option_state).
1.59/1.76	thf(decl_889, type, esk19_1: produc5122021904355189735on_val > val).
1.59/1.76	thf(decl_890, type, esk20_1: produc5122021904355189735on_val > val).
1.59/1.76	thf(decl_891, type, esk21_1: produc5122021904355189735on_val > option_val).
1.59/1.76	thf(decl_892, type, esk22_1: produc5122021904355189735on_val > option_val).
1.59/1.76	thf(decl_893, type, esk23_1: (produc1317171644805857433on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_894, type, esk24_1: (produc1317171644805857433on_val > $o) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_895, type, esk25_1: (produc1317171644805857433on_val > $o) > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_896, type, esk26_1: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_897, type, esk27_1: produc1317171644805857433on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_898, type, esk28_1: produc1317171644805857433on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_899, type, esk29_2: (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat).
1.59/1.76	thf(decl_900, type, esk30_2: (nat > $o) > (nat > $o) > nat).
1.59/1.76	thf(decl_901, type, esk31_2: (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_902, type, esk32_1: (produc1317171644805857433on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_903, type, esk33_1: (produc1317171644805857433on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_904, type, esk34_1: (produc1319942482725812455at_nat > $o) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_905, type, esk35_1: (produc1319942482725812455at_nat > $o) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_906, type, esk36_1: (produc3843707927480180839at_nat > $o) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_907, type, esk37_1: (produc3843707927480180839at_nat > $o) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_908, type, esk38_1: (product_prod_nat_nat > $o) > nat).
1.59/1.76	thf(decl_909, type, esk39_1: (product_prod_nat_nat > $o) > nat).
1.59/1.76	thf(decl_910, type, esk40_1: (produc9003781588162623004on_val > $o) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_911, type, esk41_1: (produc9003781588162623004on_val > $o) > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_912, type, esk42_1: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_913, type, esk43_1: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_914, type, esk44_1: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_915, type, esk45_1: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_916, type, esk46_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_917, type, esk47_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_918, type, esk48_1: product_prod_nat_nat > nat).
1.59/1.76	thf(decl_919, type, esk49_1: product_prod_nat_nat > nat).
1.59/1.76	thf(decl_920, type, esk50_1: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_921, type, esk51_1: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_922, type, esk52_1: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_923, type, esk53_1: produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_924, type, esk54_1: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_925, type, esk55_1: produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_926, type, esk56_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_927, type, esk57_1: produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_928, type, esk58_1: product_prod_nat_nat > nat).
1.59/1.76	thf(decl_929, type, esk59_1: product_prod_nat_nat > nat).
1.59/1.76	thf(decl_930, type, esk60_1: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_931, type, esk61_1: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_932, type, esk62_3: option_state > (option_state > option_state > $o) > option_state > state).
1.59/1.76	thf(decl_933, type, esk63_3: option_state > (option_state > option_state > $o) > option_state > state).
1.59/1.76	thf(decl_934, type, esk64_3: option_state > (option_state > option_val > $o) > option_val > state).
1.59/1.76	thf(decl_935, type, esk65_3: option_state > (option_state > option_val > $o) > option_val > val).
1.59/1.76	thf(decl_936, type, esk66_3: option_val > (option_val > option_state > $o) > option_state > val).
1.59/1.76	thf(decl_937, type, esk67_3: option_val > (option_val > option_state > $o) > option_state > state).
1.59/1.76	thf(decl_938, type, esk68_3: option_val > (option_val > option_val > $o) > option_val > val).
1.59/1.76	thf(decl_939, type, esk69_3: option_val > (option_val > option_val > $o) > option_val > val).
1.59/1.76	thf(decl_940, type, esk70_1: (option_state > $o) > option_state).
1.59/1.76	thf(decl_941, type, esk71_1: (option_state > $o) > state).
1.59/1.76	thf(decl_942, type, esk72_1: (option_val > $o) > option_val).
1.59/1.76	thf(decl_943, type, esk73_1: (option_val > $o) > val).
1.59/1.76	thf(decl_944, type, esk74_1: (option_state > $o) > state).
1.59/1.76	thf(decl_945, type, esk75_1: (option_state > $o) > option_state).
1.59/1.76	thf(decl_946, type, esk76_1: (option_val > $o) > val).
1.59/1.76	thf(decl_947, type, esk77_1: (option_val > $o) > option_val).
1.59/1.76	thf(decl_948, type, esk78_1: option_state > state).
1.59/1.76	thf(decl_949, type, esk79_1: option_val > val).
1.59/1.76	thf(decl_950, type, esk80_1: ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > $o) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_951, type, esk81_1: ((produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > $o) > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_952, type, esk82_2: produc9003781588162623004on_val > produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_953, type, esk83_2: set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_954, type, esk84_2: set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_955, type, esk85_2: nat > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_956, type, esk86_2: (produc1457211279475724562t_char > option_val) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_957, type, esk87_2: produc9003781588162623004on_val > produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_958, type, esk88_2: set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_959, type, esk89_2: set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_960, type, esk90_2: nat > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_961, type, esk91_2: (produc1457211279475724562t_char > prat) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_962, type, esk92_3: option_state > option_state > $o > state).
1.59/1.76	thf(decl_963, type, esk93_3: option_state > option_state > $o > state).
1.59/1.76	thf(decl_964, type, esk94_3: option_val > option_val > $o > val).
1.59/1.76	thf(decl_965, type, esk95_3: option_val > option_val > $o > val).
1.59/1.76	thf(decl_966, type, esk96_2: option_state > option_state > state).
1.59/1.76	thf(decl_967, type, esk97_2: option_state > option_state > state).
1.59/1.76	thf(decl_968, type, esk98_2: option_val > option_val > val).
1.59/1.76	thf(decl_969, type, esk99_2: option_val > option_val > val).
1.59/1.76	thf(decl_970, type, esk100_2: option_state > option_state > state).
1.59/1.76	thf(decl_971, type, esk101_2: option_state > option_state > state).
1.59/1.76	thf(decl_972, type, esk102_2: option_val > option_val > val).
1.59/1.76	thf(decl_973, type, esk103_2: option_val > option_val > val).
1.59/1.76	thf(decl_974, type, esk104_3: product_prod_nat_nat > (nat > nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_975, type, esk105_3: product_prod_nat_nat > (nat > nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_976, type, esk106_3: produc859450856879609959at_nat > (nat > nat > set_Pr8693737435421807431at_nat) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_977, type, esk107_3: produc859450856879609959at_nat > (nat > nat > set_Pr8693737435421807431at_nat) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_978, type, esk108_3: product_prod_nat_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_979, type, esk109_3: product_prod_nat_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_980, type, esk110_3: produc3843707927480180839at_nat > (nat > nat > set_Pr4329608150637261639at_nat) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_981, type, esk111_3: produc3843707927480180839at_nat > (nat > nat > set_Pr4329608150637261639at_nat) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_982, type, esk112_3: produc859450856879609959at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_983, type, esk113_3: produc859450856879609959at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_984, type, esk114_3: produc9003781588162623004on_val > (nat > nat > set_Pr7649655576376376530on_val) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_985, type, esk115_3: produc9003781588162623004on_val > (nat > nat > set_Pr7649655576376376530on_val) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_986, type, esk116_3: product_prod_nat_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_987, type, esk117_3: product_prod_nat_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_988, type, esk118_3: produc3843707927480180839at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_989, type, esk119_3: produc3843707927480180839at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_990, type, esk120_3: produc859450856879609959at_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr8693737435421807431at_nat) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_991, type, esk121_3: produc859450856879609959at_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr8693737435421807431at_nat) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_992, type, esk122_3: produc9003781588162623004on_val > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr7649655576376376530on_val) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_993, type, esk123_3: produc9003781588162623004on_val > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr7649655576376376530on_val) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_994, type, esk124_3: product_prod_nat_nat > (nat > nat > $o) > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_995, type, esk125_3: product_prod_nat_nat > (nat > nat > $o) > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_996, type, esk126_3: (state > state > $o) > state > (state > $o) > state).
1.59/1.76	thf(decl_997, type, esk127_3: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > (produc1317171644805857433on_val > $o) > produc1317171644805857433on_val).
1.59/1.76	thf(decl_998, type, esk128_3: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_999, type, esk129_2: (state > state > $o) > state > state).
1.59/1.76	thf(decl_1000, type, esk130_2: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1001, type, esk131_2: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1002, type, esk132_3: (state > state > $o) > state > (state > $o) > state).
1.59/1.76	thf(decl_1003, type, esk133_3: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > (produc1317171644805857433on_val > $o) > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1004, type, esk134_3: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1005, type, esk135_2: (state > state > $o) > state > state).
1.59/1.76	thf(decl_1006, type, esk136_3: (state > state > $o) > state > state > state).
1.59/1.76	thf(decl_1007, type, esk137_2: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1008, type, esk138_3: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > produc1317171644805857433on_val > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1009, type, esk139_2: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1010, type, esk140_3: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1011, type, esk141_2: (state > state > $o) > state > state).
1.59/1.76	thf(decl_1012, type, esk142_2: (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1013, type, esk143_2: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1014, type, esk144_2: option_state > option_state > state).
1.59/1.76	thf(decl_1015, type, esk145_2: option_state > option_state > state).
1.59/1.76	thf(decl_1016, type, esk146_2: option_val > option_val > val).
1.59/1.76	thf(decl_1017, type, esk147_2: option_val > option_val > val).
1.59/1.76	thf(decl_1018, type, esk148_3: option_state > option_state > $o > state).
1.59/1.76	thf(decl_1019, type, esk149_3: option_state > option_state > $o > state).
1.59/1.76	thf(decl_1020, type, esk150_3: option_val > option_val > $o > val).
1.59/1.76	thf(decl_1021, type, esk151_3: option_val > option_val > $o > val).
1.59/1.76	thf(decl_1022, type, esk152_2: option_state > option_state > state).
1.59/1.76	thf(decl_1023, type, esk153_2: option_state > option_state > state).
1.59/1.76	thf(decl_1024, type, esk154_2: option_val > option_val > val).
1.59/1.76	thf(decl_1025, type, esk155_2: option_val > option_val > val).
1.59/1.76	thf(decl_1026, type, esk156_1: state > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1027, type, esk157_2: produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1028, type, esk158_2: produc9003781588162623004on_val > produc9003781588162623004on_val > val).
1.59/1.76	thf(decl_1029, type, esk159_2: produc9003781588162623004on_val > produc9003781588162623004on_val > val).
1.59/1.76	thf(decl_1030, type, esk160_2: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1031, type, esk161_2: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1032, type, esk162_2: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1033, type, esk163_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1034, type, esk164_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1035, type, esk165_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1036, type, esk166_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1037, type, esk167_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1038, type, esk168_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1039, type, esk169_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1040, type, esk170_3: produc9003781588162623004on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1041, type, esk171_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1042, type, esk172_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1043, type, esk173_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > val).
1.59/1.76	thf(decl_1044, type, esk174_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > val).
1.59/1.76	thf(decl_1045, type, esk175_2: produc9003781588162623004on_val > $o > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1046, type, esk176_2: produc9003781588162623004on_val > $o > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1047, type, esk177_1: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1048, type, esk178_1: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1049, type, esk179_1: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1050, type, esk180_1: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1051, type, esk181_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1052, type, esk182_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1053, type, esk183_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1054, type, esk184_1: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1055, type, esk185_1: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1056, type, esk186_1: produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1057, type, esk187_1: produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1058, type, esk188_2: produc9003781588162623004on_val > $o > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1059, type, esk189_2: produc9003781588162623004on_val > $o > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1060, type, esk190_2: option_state > (state > $o) > state).
1.59/1.76	thf(decl_1061, type, esk191_2: option_val > (val > $o) > val).
1.59/1.76	thf(decl_1062, type, esk192_3: option_state > (state > option_state) > state > state).
1.59/1.76	thf(decl_1063, type, esk193_3: option_val > (val > option_state) > state > val).
1.59/1.76	thf(decl_1064, type, esk194_3: option_state > (state > option_val) > val > state).
1.59/1.76	thf(decl_1065, type, esk195_3: option_val > (val > option_val) > val > val).
1.59/1.76	thf(decl_1066, type, esk196_3: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1067, type, esk197_3: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1068, type, esk198_2: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > prat) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1069, type, esk199_3: (option_state > $o) > option_state > (state > option_state) > state).
1.59/1.76	thf(decl_1070, type, esk200_3: (option_val > $o) > option_state > (state > option_val) > state).
1.59/1.76	thf(decl_1071, type, esk201_3: (option_state > $o) > option_val > (val > option_state) > val).
1.59/1.76	thf(decl_1072, type, esk202_3: (option_val > $o) > option_val > (val > option_val) > val).
1.59/1.76	thf(decl_1073, type, esk203_3: (option_state > $o) > option_state > (state > option_state) > state).
1.59/1.76	thf(decl_1074, type, esk204_3: (option_val > $o) > option_state > (state > option_val) > state).
1.59/1.76	thf(decl_1075, type, esk205_3: (option_state > $o) > option_val > (val > option_state) > val).
1.59/1.76	thf(decl_1076, type, esk206_3: (option_val > $o) > option_val > (val > option_val) > val).
1.59/1.76	thf(decl_1077, type, esk207_5: set_Pr3433046674199179443r_prat > set_Pr7649655576376376530on_val > set_Pr1004501353197068112on_val > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1078, type, esk208_5: set_Pr3433046674199179443r_prat > set_Pr7649655576376376530on_val > set_Pr1004501353197068112on_val > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1079, type, esk209_5: set_nat > set_Pr1261947904930325089at_nat > set_nat > (nat > nat > $o) > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_1080, type, esk210_5: set_nat > set_Pr1261947904930325089at_nat > set_nat > (nat > nat > $o) > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_1081, type, esk211_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1082, type, esk212_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1083, type, esk213_2: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1084, type, esk214_2: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1085, type, esk215_2: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1086, type, esk216_2: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1087, type, esk217_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1088, type, esk218_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1089, type, esk219_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1090, type, esk220_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1091, type, esk221_2: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1092, type, esk222_2: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1093, type, esk223_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1094, type, esk224_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1095, type, esk225_2: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1096, type, esk226_2: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1097, type, esk227_2: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1098, type, esk228_2: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1099, type, esk229_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1100, type, esk230_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1101, type, esk231_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1102, type, esk232_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1103, type, esk233_2: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1104, type, esk234_2: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1105, type, esk235_4: product_prod_nat_nat > (nat > nat) > (nat > nat) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1106, type, esk236_4: product_prod_nat_nat > (nat > nat) > (nat > nat) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1107, type, esk237_4: produc859450856879609959at_nat > (nat > product_prod_nat_nat) > (nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1108, type, esk238_4: produc859450856879609959at_nat > (nat > product_prod_nat_nat) > (nat > product_prod_nat_nat) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1109, type, esk239_4: product_prod_nat_nat > (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1110, type, esk240_4: product_prod_nat_nat > (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1111, type, esk241_4: produc3843707927480180839at_nat > (nat > set_Pr1261947904930325089at_nat) > (nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1112, type, esk242_4: produc3843707927480180839at_nat > (nat > set_Pr1261947904930325089at_nat) > (nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1113, type, esk243_4: product_prod_nat_nat > (set_Pr1261947904930325089at_nat > nat) > (set_Pr1261947904930325089at_nat > nat) > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1114, type, esk244_4: product_prod_nat_nat > (set_Pr1261947904930325089at_nat > nat) > (set_Pr1261947904930325089at_nat > nat) > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1115, type, esk245_4: produc859450856879609959at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1116, type, esk246_4: produc859450856879609959at_nat > (product_prod_nat_nat > product_prod_nat_nat) > (product_prod_nat_nat > product_prod_nat_nat) > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1117, type, esk247_4: produc859450856879609959at_nat > (set_Pr1261947904930325089at_nat > product_prod_nat_nat) > (set_Pr1261947904930325089at_nat > product_prod_nat_nat) > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1118, type, esk248_4: produc859450856879609959at_nat > (set_Pr1261947904930325089at_nat > product_prod_nat_nat) > (set_Pr1261947904930325089at_nat > product_prod_nat_nat) > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1119, type, esk249_4: produc3843707927480180839at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1120, type, esk250_4: produc3843707927480180839at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1121, type, esk251_4: product_prod_nat_nat > ((produc1457211279475724562t_char > prat) > nat) > ((produc1457211279475724562t_char > option_val) > nat) > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1122, type, esk252_4: product_prod_nat_nat > ((produc1457211279475724562t_char > prat) > nat) > ((produc1457211279475724562t_char > option_val) > nat) > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1123, type, esk253_4: produc9003781588162623004on_val > (nat > produc1457211279475724562t_char > prat) > (nat > produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1124, type, esk254_4: produc9003781588162623004on_val > (nat > produc1457211279475724562t_char > prat) > (nat > produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1125, type, esk255_2: set_Pr8693737435421807431at_nat > (product_prod_nat_nat > nat) > product_prod_nat_nat).
1.59/1.76	thf(decl_1126, type, esk256_2: set_Pr8693737435421807431at_nat > (product_prod_nat_nat > nat) > product_prod_nat_nat).
1.59/1.76	thf(decl_1127, type, esk257_2: set_Pr4305388979797279737on_val > (produc9003781588162623004on_val > nat) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1128, type, esk258_2: set_Pr4305388979797279737on_val > (produc9003781588162623004on_val > nat) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1129, type, esk259_2: set_Pr7459493094073627847at_nat > (set_Pr4329608150637261639at_nat > nat) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1130, type, esk260_2: set_Pr7459493094073627847at_nat > (set_Pr4329608150637261639at_nat > nat) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1131, type, esk261_2: set_Pr4329608150637261639at_nat > (set_Pr1261947904930325089at_nat > nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1132, type, esk262_2: set_Pr4329608150637261639at_nat > (set_Pr1261947904930325089at_nat > nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1133, type, esk263_2: set_Pr1261947904930325089at_nat > (nat > nat) > nat).
1.59/1.76	thf(decl_1134, type, esk264_2: set_Pr1261947904930325089at_nat > (nat > nat) > nat).
1.59/1.76	thf(decl_1135, type, esk265_2: (state > $o) > (state > state > $o) > state).
1.59/1.76	thf(decl_1136, type, esk266_2: (state > $o) > (state > state > $o) > state).
1.59/1.76	thf(decl_1137, type, esk267_4: (state > $o) > (state > state > $o) > state > (state > $o) > state).
1.59/1.76	thf(decl_1138, type, esk268_2: (produc1317171644805857433on_val > $o) > (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1139, type, esk269_2: (produc1317171644805857433on_val > $o) > (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1140, type, esk270_4: (produc1317171644805857433on_val > $o) > (produc1317171644805857433on_val > produc1317171644805857433on_val > $o) > produc1317171644805857433on_val > (produc1317171644805857433on_val > $o) > produc1317171644805857433on_val).
1.59/1.76	thf(decl_1141, type, esk271_2: (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1142, type, esk272_2: (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1143, type, esk273_4: (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1144, type, esk274_3: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (nat > produc1457211279475724562t_char > prat) > (nat > produc1457211279475724562t_char > option_val) > nat > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1145, type, esk275_3: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (product_prod_nat_nat > produc1457211279475724562t_char > prat) > (product_prod_nat_nat > produc1457211279475724562t_char > option_val) > product_prod_nat_nat > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1146, type, esk276_3: (nat > nat > $o) > (nat > nat) > (nat > nat) > nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1147, type, esk277_3: (nat > nat > $o) > (product_prod_nat_nat > nat) > (product_prod_nat_nat > nat) > product_prod_nat_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1148, type, esk278_1: set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1149, type, esk279_1: set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1150, type, esk280_1: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1151, type, esk281_1: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1152, type, esk282_1: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1153, type, esk283_1: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1154, type, esk284_1: set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1155, type, esk285_1: set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1156, type, esk286_1: set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1157, type, esk287_1: set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1158, type, esk288_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1159, type, esk289_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1160, type, esk290_2: set_Pr8693737435421807431at_nat > set_Pr553994874890374343at_nat > produc859450856879609959at_nat).
1.59/1.76	thf(decl_1161, type, esk291_2: set_Pr8693737435421807431at_nat > set_Pr553994874890374343at_nat > produc859450856879609959at_nat).
1.59/1.76	thf(decl_1162, type, esk292_2: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat).
1.59/1.76	thf(decl_1163, type, esk293_2: set_Pr4329608150637261639at_nat > set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat).
1.59/1.76	thf(decl_1164, type, esk294_2: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1165, type, esk295_2: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1166, type, esk296_2: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1167, type, esk297_2: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1168, type, esk298_2: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1169, type, esk299_2: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1170, type, esk300_2: set_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1171, type, esk301_2: set_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1172, type, esk302_2: produc1317171644805857433on_val > (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1173, type, esk303_2: produc1317171644805857433on_val > (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1174, type, esk304_2: produc1319942482725812455at_nat > (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1175, type, esk305_2: produc1319942482725812455at_nat > (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1176, type, esk306_2: produc3843707927480180839at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1177, type, esk307_2: produc3843707927480180839at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1178, type, esk308_2: produc9003781588162623004on_val > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1179, type, esk309_2: produc9003781588162623004on_val > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1180, type, esk310_2: product_prod_nat_nat > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_1181, type, esk311_2: product_prod_nat_nat > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_1182, type, esk312_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1183, type, esk313_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1184, type, esk314_2: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char).
1.59/1.76	thf(decl_1185, type, esk315_3: product_prod_nat_nat > product_prod_nat_nat > (nat > nat > set_Pr1261947904930325089at_nat) > nat).
1.59/1.76	thf(decl_1186, type, esk316_3: product_prod_nat_nat > product_prod_nat_nat > (nat > nat > set_Pr1261947904930325089at_nat) > nat).
1.59/1.76	thf(decl_1187, type, esk317_3: product_prod_nat_nat > produc859450856879609959at_nat > (nat > nat > set_Pr8693737435421807431at_nat) > nat).
1.59/1.76	thf(decl_1188, type, esk318_3: product_prod_nat_nat > produc859450856879609959at_nat > (nat > nat > set_Pr8693737435421807431at_nat) > nat).
1.59/1.76	thf(decl_1189, type, esk319_3: produc3843707927480180839at_nat > product_prod_nat_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1190, type, esk320_3: produc3843707927480180839at_nat > product_prod_nat_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1191, type, esk321_3: product_prod_nat_nat > produc3843707927480180839at_nat > (nat > nat > set_Pr4329608150637261639at_nat) > nat).
1.59/1.76	thf(decl_1192, type, esk322_3: product_prod_nat_nat > produc3843707927480180839at_nat > (nat > nat > set_Pr4329608150637261639at_nat) > nat).
1.59/1.76	thf(decl_1193, type, esk323_3: produc3843707927480180839at_nat > produc859450856879609959at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1194, type, esk324_3: produc3843707927480180839at_nat > produc859450856879609959at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1195, type, esk325_3: product_prod_nat_nat > produc9003781588162623004on_val > (nat > nat > set_Pr7649655576376376530on_val) > nat).
1.59/1.76	thf(decl_1196, type, esk326_3: product_prod_nat_nat > produc9003781588162623004on_val > (nat > nat > set_Pr7649655576376376530on_val) > nat).
1.59/1.76	thf(decl_1197, type, esk327_3: produc9003781588162623004on_val > product_prod_nat_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1198, type, esk328_3: produc9003781588162623004on_val > product_prod_nat_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr1261947904930325089at_nat) > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1199, type, esk329_3: produc3843707927480180839at_nat > produc3843707927480180839at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1200, type, esk330_3: produc3843707927480180839at_nat > produc3843707927480180839at_nat > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1201, type, esk331_3: produc9003781588162623004on_val > produc859450856879609959at_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr8693737435421807431at_nat) > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1202, type, esk332_3: produc9003781588162623004on_val > produc859450856879609959at_nat > ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr8693737435421807431at_nat) > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1203, type, esk333_3: produc3843707927480180839at_nat > produc9003781588162623004on_val > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr7649655576376376530on_val) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1204, type, esk334_3: produc3843707927480180839at_nat > produc9003781588162623004on_val > (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr7649655576376376530on_val) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1205, type, esk335_2: (nat > nat > $o) > (product_prod_nat_nat > $o) > nat).
1.59/1.76	thf(decl_1206, type, esk336_2: (nat > nat > $o) > (product_prod_nat_nat > $o) > nat).
1.59/1.76	thf(decl_1207, type, esk337_3: ($o > $o) > (nat > nat > $o) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_1208, type, esk338_3: ($o > $o) > (nat > nat > $o) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_1209, type, esk339_2: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1210, type, esk340_2: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc1317171644805857433on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1211, type, esk341_2: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1212, type, esk342_2: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > produc1319942482725812455at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1213, type, esk343_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1214, type, esk344_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1215, type, esk345_2: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc9003781588162623004on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1216, type, esk346_2: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > produc9003781588162623004on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1217, type, esk347_2: (nat > nat > $o) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_1218, type, esk348_2: (nat > nat > $o) > product_prod_nat_nat > nat).
1.59/1.76	thf(decl_1219, type, esk349_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1220, type, esk350_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1221, type, esk351_2: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1222, type, esk352_2: set_Pr4305388979797279737on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1223, type, esk353_2: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1224, type, esk354_2: set_Pr7459493094073627847at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1225, type, esk355_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1226, type, esk356_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1227, type, esk357_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1228, type, esk358_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1229, type, esk359_2: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > prat).
1.59/1.76	thf(decl_1230, type, esk360_2: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > produc1457211279475724562t_char > option_val).
1.59/1.76	thf(decl_1231, type, esk361_3: $o > (state > $o) > option_state > state).
1.59/1.76	thf(decl_1232, type, esk362_3: $o > (val > $o) > option_val > val).
1.59/1.76	thf(decl_1233, type, esk363_3: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > $o) > produc859450856879609959at_nat).
1.59/1.76	thf(decl_1234, type, esk364_3: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat).
1.59/1.76	thf(decl_1235, type, esk365_3: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > $o) > product_prod_nat_nat).
1.59/1.76	thf(decl_1236, type, esk366_3: set_nat > set_nat > (nat > $o) > nat).
1.59/1.76	thf(decl_1237, type, esk367_3: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1238, type, esk368_4: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > $o) > (produc859450856879609959at_nat > $o) > produc859450856879609959at_nat).
1.59/1.76	thf(decl_1239, type, esk369_4: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > $o) > (produc3843707927480180839at_nat > $o) > produc3843707927480180839at_nat).
1.59/1.76	thf(decl_1240, type, esk370_4: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat).
1.59/1.76	thf(decl_1241, type, esk371_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat).
1.59/1.76	thf(decl_1242, type, esk372_4: set_Pr7649655576376376530on_val > set_Pr7649655576376376530on_val > (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1243, type, esk373_4: (nat > nat > $o) > product_prod_nat_nat > ($o > $o) > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_1244, type, esk374_4: (nat > nat > $o) > product_prod_nat_nat > ($o > $o) > (nat > nat > $o) > nat).
1.59/1.76	thf(decl_1245, type, esk375_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1246, type, esk376_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1247, type, esk377_2: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1248, type, esk378_2: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1249, type, esk379_2: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1250, type, esk380_2: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1251, type, esk381_2: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1252, type, esk382_2: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1253, type, esk383_2: set_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1254, type, esk384_2: set_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1255, type, esk385_2: produc349518998152878311at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat).
1.59/1.76	thf(decl_1256, type, esk386_2: produc1906917888121415911at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat).
1.59/1.76	thf(decl_1257, type, esk387_2: produc859450856879609959at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1258, type, esk388_2: produc1317171644805857433on_val > set_Pr7649655576376376530on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1259, type, esk389_2: produc1319942482725812455at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1260, type, esk390_2: produc3843707927480180839at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1261, type, esk391_2: product_prod_nat_nat > set_nat > nat).
1.59/1.76	thf(decl_1262, type, esk392_1: set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1263, type, esk393_1: set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.76	thf(decl_1264, type, esk394_1: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1265, type, esk395_1: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.76	thf(decl_1266, type, esk396_1: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1267, type, esk397_1: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1268, type, esk398_1: set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1269, type, esk399_1: set_Pr1261947904930325089at_nat > nat).
1.59/1.76	thf(decl_1270, type, esk400_1: set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1271, type, esk401_1: set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.76	thf(decl_1272, type, esk402_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat).
1.59/1.76	thf(decl_1273, type, esk403_3: product_prod_nat_nat > set_nat > (nat > set_nat) > nat).
1.59/1.76	thf(decl_1274, type, esk404_3: product_prod_nat_nat > set_nat > (nat > set_nat) > nat).
1.59/1.76	thf(decl_1275, type, esk405_3: produc859450856879609959at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat).
1.59/1.76	thf(decl_1276, type, esk406_3: produc859450856879609959at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat).
1.59/1.76	thf(decl_1277, type, esk407_3: produc3843707927480180839at_nat > set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1278, type, esk408_3: produc3843707927480180839at_nat > set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.76	thf(decl_1279, type, esk409_3: produc39072733474941005at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr8693737435421807431at_nat) > product_prod_nat_nat).
1.59/1.77	thf(decl_1280, type, esk410_3: produc39072733474941005at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr8693737435421807431at_nat) > produc859450856879609959at_nat).
1.59/1.77	thf(decl_1281, type, esk411_3: produc7148259590854449153at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr1261947904930325089at_nat) > produc859450856879609959at_nat).
1.59/1.77	thf(decl_1282, type, esk412_3: produc7148259590854449153at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat).
1.59/1.77	thf(decl_1283, type, esk413_3: produc8430705068416227405at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr4329608150637261639at_nat) > product_prod_nat_nat).
1.59/1.77	thf(decl_1284, type, esk414_3: produc8430705068416227405at_nat > set_Pr1261947904930325089at_nat > (product_prod_nat_nat > set_Pr4329608150637261639at_nat) > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1285, type, esk415_3: produc560747048475658241at_nat > set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1286, type, esk416_3: produc560747048475658241at_nat > set_Pr4329608150637261639at_nat > (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat).
1.59/1.77	thf(decl_1287, type, esk417_3: produc9003781588162623004on_val > set_Pr3433046674199179443r_prat > ((produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val) > produc1457211279475724562t_char > prat).
1.59/1.77	thf(decl_1288, type, esk418_3: produc9003781588162623004on_val > set_Pr3433046674199179443r_prat > ((produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val) > produc1457211279475724562t_char > option_val).
1.59/1.77	thf(decl_1289, type, esk419_3: produc349518998152878311at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr8693737435421807431at_nat) > produc859450856879609959at_nat).
1.59/1.77	thf(decl_1290, type, esk420_3: produc349518998152878311at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr8693737435421807431at_nat) > produc859450856879609959at_nat).
1.59/1.77	thf(decl_1291, type, esk421_3: produc1034191653824608487at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr4329608150637261639at_nat) > produc859450856879609959at_nat).
1.59/1.77	thf(decl_1292, type, esk422_3: produc1034191653824608487at_nat > set_Pr8693737435421807431at_nat > (produc859450856879609959at_nat > set_Pr4329608150637261639at_nat) > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1293, type, esk423_2: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1294, type, esk424_2: set_Pr553994874890374343at_nat > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat).
1.59/1.77	thf(decl_1295, type, esk425_2: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1296, type, esk426_2: set_Pr4305388979797279737on_val > set_Pr7649655576376376530on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1297, type, esk427_2: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1298, type, esk428_2: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1299, type, esk429_2: set_Pr1261947904930325089at_nat > set_nat > nat).
1.59/1.77	thf(decl_1300, type, esk430_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1301, type, esk431_2: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1302, type, esk432_2: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1303, type, esk433_2: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1304, type, esk434_2: set_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.77	thf(decl_1305, type, esk435_4: set_nat > set_nat > (nat > set_nat) > (nat > set_nat) > nat).
1.59/1.77	thf(decl_1306, type, esk436_1: set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1307, type, esk437_1: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1308, type, esk438_1: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1309, type, esk439_1: set_Pr1261947904930325089at_nat > nat).
1.59/1.77	thf(decl_1310, type, esk440_1: set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1311, type, esk441_2: set_nat > (nat > set_nat) > nat).
1.59/1.77	thf(decl_1312, type, esk442_2: set_se7855581050983116737at_nat > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1313, type, esk443_3: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1314, type, esk444_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1315, type, esk445_3: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1316, type, esk446_2: set_Pr7649655576376376530on_val > set_Pr4305388979797279737on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1317, type, esk447_3: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1318, type, esk448_2: set_se5479201105039950375at_nat > set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1319, type, esk449_3: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1320, type, esk450_2: set_se7855581050983116737at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1321, type, esk451_3: set_nat > set_Pr1261947904930325089at_nat > nat > nat).
1.59/1.77	thf(decl_1322, type, esk452_2: set_nat > set_Pr1261947904930325089at_nat > nat).
1.59/1.77	thf(decl_1323, type, esk453_2: set_Pr4305388979797279737on_val > set_Pr7649655576376376530on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1324, type, esk454_1: set_Pr4305388979797279737on_val > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1325, type, esk455_2: set_Pr4305388979797279737on_val > produc9003781588162623004on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1326, type, esk456_2: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1327, type, esk457_1: set_Pr7459493094073627847at_nat > set_se5479201105039950375at_nat).
1.59/1.77	thf(decl_1328, type, esk458_2: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1329, type, esk459_2: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1330, type, esk460_1: set_Pr4329608150637261639at_nat > set_se7855581050983116737at_nat).
1.59/1.77	thf(decl_1331, type, esk461_2: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1332, type, esk462_2: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1333, type, esk463_1: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1334, type, esk464_2: set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1335, type, esk465_2: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1336, type, esk466_1: set_Pr5564308138774400199at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1337, type, esk467_2: set_Pr5564308138774400199at_nat > produc3843707927480180839at_nat > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1338, type, esk468_2: set_Pr1261947904930325089at_nat > set_nat > nat).
1.59/1.77	thf(decl_1339, type, esk469_1: set_Pr1261947904930325089at_nat > set_nat).
1.59/1.77	thf(decl_1340, type, esk470_2: set_Pr1261947904930325089at_nat > nat > nat).
1.59/1.77	thf(decl_1341, type, esk471_2: nat > (nat > $o) > nat).
1.59/1.77	thf(decl_1342, type, esk472_2: nat > (nat > $o) > nat).
1.59/1.77	thf(decl_1343, type, esk473_1: state > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1344, type, esk474_1: (state > $o) > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1345, type, esk475_2: produc9003781588162623004on_val > (produc9003781588162623004on_val > $o) > state).
1.59/1.77	thf(decl_1346, type, epred1_1: set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > $o).
1.59/1.77	thf(decl_1347, type, epred2_1: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o).
1.59/1.77	thf(decl_1348, type, epred3_1: set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1349, type, epred4_1: set_nat > nat > $o).
1.59/1.77	thf(decl_1350, type, epred5_1: set_Pr7649655576376376530on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1351, type, epred6_1: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (nat > produc9003781588162623004on_val) > $o).
1.59/1.77	thf(decl_1352, type, epred7_1: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (product_prod_nat_nat > produc9003781588162623004on_val) > $o).
1.59/1.77	thf(decl_1353, type, epred8_1: (nat > nat > $o) > (nat > product_prod_nat_nat) > $o).
1.59/1.77	thf(decl_1354, type, epred9_1: (nat > nat > $o) > (product_prod_nat_nat > product_prod_nat_nat) > $o).
1.59/1.77	thf(decl_1355, type, epred10_1: (nat > nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1356, type, epred11_2: (nat > nat > $o) > $o > nat > nat > $o).
1.59/1.77	thf(decl_1357, type, epred12_1: (nat > nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1358, type, esk476_0: produc1457211279475724562t_char > option_val).
1.59/1.77	thf(decl_1359, type, epred13_1: (nat > nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1360, type, epred14_0: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.77	thf(decl_1361, type, epred15_0: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.77	thf(decl_1362, type, epred16_0: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1363, type, epred17_0: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1364, type, epred18_0: nat > nat > $o).
1.59/1.77	thf(decl_1365, type, epred19_0: nat > nat > $o).
1.59/1.77	thf(decl_1366, type, epred20_1: (product_prod_nat_nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1367, type, epred21_2: (nat > nat > $o) > ($o > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1368, type, epred22_1: (product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1369, type, epred23_1: (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1370, type, epred24_1: (nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1371, type, epred25_0: state > $o).
1.59/1.77	thf(decl_1372, type, epred26_0: val > $o).
1.59/1.77	thf(decl_1373, type, epred27_0: state > $o).
1.59/1.77	thf(decl_1374, type, epred28_0: val > $o).
1.59/1.77	thf(decl_1375, type, esk477_0: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > option_val).
1.59/1.77	thf(decl_1376, type, esk478_0: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc1457211279475724562t_char > prat).
1.59/1.77	thf(decl_1377, type, epred29_3: (nat > nat) > (nat > nat) > (nat > nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1378, type, epred30_2: (produc859450856879609959at_nat > $o) > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > $o).
1.59/1.77	thf(decl_1379, type, epred31_2: (produc3843707927480180839at_nat > $o) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o).
1.59/1.77	thf(decl_1380, type, epred32_2: (product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1381, type, epred33_2: (nat > $o) > set_nat > nat > $o).
1.59/1.77	thf(decl_1382, type, epred34_2: (produc9003781588162623004on_val > $o) > set_Pr7649655576376376530on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1383, type, esk479_0: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > produc7776263825685906734r_prat).
1.59/1.77	thf(decl_1384, type, esk480_0: produc9003781588162623004on_val > produc9003781588162623004on_val > produc1317171644805857433on_val).
1.59/1.77	thf(decl_1385, type, esk481_0: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat).
1.59/1.77	thf(decl_1386, type, esk482_0: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1387, type, esk483_0: (produc1457211279475724562t_char > option_val) > (produc1457211279475724562t_char > prat) > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1388, type, esk484_0: nat > nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1389, type, epred35_1: set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1390, type, epred36_1: set_Pr4305388979797279737on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1391, type, epred37_1: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o).
1.59/1.77	thf(decl_1392, type, epred38_1: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1393, type, epred39_1: set_Pr1261947904930325089at_nat > nat > nat > $o).
1.59/1.77	thf(decl_1394, type, epred40_1: set_Pr7649655576376376530on_val > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.77	thf(decl_1395, type, epred41_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat > nat > nat > nat > $o).
1.59/1.77	thf(decl_1396, type, epred42_2: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat > nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1397, type, epred43_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > nat > product_prod_nat_nat > product_prod_nat_nat > nat > $o).
1.59/1.77	thf(decl_1398, type, epred44_2: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > nat > produc8373899037510109440at_nat > $o).
1.59/1.77	thf(decl_1399, type, epred45_2: set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > nat > nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1400, type, epred46_2: set_Pr1261947904930325089at_nat > set_Pr8693737435421807431at_nat > nat > product_prod_nat_nat > produc7248412053542808358at_nat > $o).
1.59/1.77	thf(decl_1401, type, epred47_2: set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat > $o).
1.59/1.77	thf(decl_1402, type, epred48_2: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat > produc366245978424229472at_nat > $o).
1.59/1.77	thf(decl_1403, type, epred49_2: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat > nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1404, type, epred50_2: set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > nat > set_Pr1261947904930325089at_nat > produc3313772616054891654at_nat > $o).
1.59/1.77	thf(decl_1405, type, epred51_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1406, type, epred52_2: set_Pr8693737435421807431at_nat > set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat > $o).
1.59/1.77	thf(decl_1407, type, epred53_2: set_Pr4329608150637261639at_nat > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1408, type, epred54_2: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > produc7192094812858977735at_nat > $o).
1.59/1.77	thf(decl_1409, type, epred55_2: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1410, type, epred56_2: set_Pr4329608150637261639at_nat > set_Pr8693737435421807431at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > produc427138148967705351at_nat > $o).
1.59/1.77	thf(decl_1411, type, epred57_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1412, type, epred58_2: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat > $o).
1.59/1.77	thf(decl_1413, type, epred59_2: set_Pr1261947904930325089at_nat > set_Pr7459493094073627847at_nat > nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > nat > $o).
1.59/1.77	thf(decl_1414, type, epred60_2: set_Pr7459493094073627847at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat > nat > produc6652242454236649670at_nat > $o).
1.59/1.77	thf(decl_1415, type, epred61_2: set_Pr8693737435421807431at_nat > (nat > product_prod_nat_nat) > nat > nat > $o).
1.59/1.77	thf(decl_1416, type, epred62_2: set_Pr4305388979797279737on_val > (nat > produc9003781588162623004on_val) > nat > nat > $o).
1.59/1.77	thf(decl_1417, type, epred63_2: set_Pr7459493094073627847at_nat > (nat > set_Pr4329608150637261639at_nat) > nat > nat > $o).
1.59/1.77	thf(decl_1418, type, epred64_2: set_Pr4329608150637261639at_nat > (nat > set_Pr1261947904930325089at_nat) > nat > nat > $o).
1.59/1.77	thf(decl_1419, type, epred65_2: set_Pr1261947904930325089at_nat > (nat > nat) > nat > nat > $o).
1.59/1.77	thf(decl_1420, type, epred66_2: (nat > set_Pr1261947904930325089at_nat) > (nat > $o) > nat > nat > nat > nat > $o).
1.59/1.77	thf(decl_1421, type, epred67_2: (nat > $o) > (nat > set_Pr1261947904930325089at_nat) > nat > nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1422, type, esk485_0: produc9003781588162623004on_val > produc1317171644805857433on_val).
1.59/1.77	thf(decl_1423, type, esk486_0: set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat).
1.59/1.77	thf(decl_1424, type, esk487_0: set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1425, type, esk488_0: nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1426, type, esk489_0: (produc1457211279475724562t_char > prat) > produc3336119888008106215r_prat).
1.59/1.77	thf(decl_1427, type, esk490_0: (produc1457211279475724562t_char > option_val) > produc1757238238866670357on_val).
1.59/1.77	thf(decl_1428, type, epred68_1: set_option_state > option_state > $o).
1.59/1.77	thf(decl_1429, type, epred69_1: set_option_val > option_val > $o).
1.59/1.77	thf(decl_1430, type, esk491_1: set_nat > nat > set_nat).
1.59/1.77	thf(decl_1431, type, epred70_2: (product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1432, type, esk492_1: (product_prod_nat_nat > $o) > product_prod_nat_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1433, type, epred71_2: (nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > nat > $o).
1.59/1.77	thf(decl_1434, type, esk493_1: (nat > $o) > product_prod_nat_nat > set_nat).
1.59/1.77	thf(decl_1435, type, epred72_2: (produc9003781588162623004on_val > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1436, type, esk494_1: (produc9003781588162623004on_val > $o) > product_prod_nat_nat > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1437, type, epred73_2: (product_prod_nat_nat > $o) > (nat > $o) > nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1438, type, esk495_1: (product_prod_nat_nat > $o) > nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1439, type, epred74_2: (produc9003781588162623004on_val > $o) > (nat > $o) > nat > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1440, type, esk496_1: (produc9003781588162623004on_val > $o) > nat > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1441, type, epred75_2: (product_prod_nat_nat > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1442, type, esk497_1: (product_prod_nat_nat > $o) > produc9003781588162623004on_val > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1443, type, epred76_2: (nat > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > nat > $o).
1.59/1.77	thf(decl_1444, type, esk498_1: (nat > $o) > produc9003781588162623004on_val > set_nat).
1.59/1.77	thf(decl_1445, type, epred77_2: (produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1446, type, esk499_1: (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1447, type, epred78_2: ((produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > prat) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.77	thf(decl_1448, type, esk500_1: ((produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val).
1.59/1.77	thf(decl_1449, type, epred79_2: (nat > $o) > (nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1450, type, esk501_1: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1451, type, esk502_1: set_Pr4329608150637261639at_nat > product_prod_nat_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1452, type, esk503_1: set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1453, type, esk504_1: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1454, type, esk505_1: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat).
1.59/1.77	thf(decl_1455, type, esk506_0: nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1456, type, esk507_0: product_prod_nat_nat > set_nat).
1.59/1.77	thf(decl_1457, type, esk508_1: set_Pr1004501353197068112on_val > (produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val).
1.59/1.77	thf(decl_1458, type, esk509_1: set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > set_Pr8693737435421807431at_nat).
1.59/1.77	thf(decl_1459, type, esk510_1: set_Pr7649655576376376530on_val > produc9003781588162623004on_val > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1460, type, esk511_1: set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat).
1.59/1.77	thf(decl_1461, type, epred80_2: (product_prod_nat_nat > product_prod_nat_nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1462, type, esk512_1: (product_prod_nat_nat > product_prod_nat_nat > $o) > product_prod_nat_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1463, type, epred81_2: (product_prod_nat_nat > nat > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > nat > $o).
1.59/1.77	thf(decl_1464, type, esk513_1: (product_prod_nat_nat > nat > $o) > product_prod_nat_nat > set_nat).
1.59/1.77	thf(decl_1465, type, epred82_2: (product_prod_nat_nat > produc9003781588162623004on_val > $o) > (product_prod_nat_nat > $o) > product_prod_nat_nat > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1466, type, esk514_1: (product_prod_nat_nat > produc9003781588162623004on_val > $o) > product_prod_nat_nat > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1467, type, epred83_2: (nat > product_prod_nat_nat > $o) > (nat > $o) > nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1468, type, esk515_1: (nat > product_prod_nat_nat > $o) > nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1469, type, epred84_2: (nat > produc9003781588162623004on_val > $o) > (nat > $o) > nat > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1470, type, esk516_1: (nat > produc9003781588162623004on_val > $o) > nat > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1471, type, epred85_2: (produc9003781588162623004on_val > product_prod_nat_nat > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1472, type, esk517_1: (produc9003781588162623004on_val > product_prod_nat_nat > $o) > produc9003781588162623004on_val > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1473, type, epred86_2: (produc9003781588162623004on_val > nat > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > nat > $o).
1.59/1.77	thf(decl_1474, type, esk518_1: (produc9003781588162623004on_val > nat > $o) > produc9003781588162623004on_val > set_nat).
1.59/1.77	thf(decl_1475, type, epred87_2: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > (produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1476, type, esk519_1: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > produc9003781588162623004on_val > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1477, type, epred88_2: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > ((produc1457211279475724562t_char > prat) > $o) > (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o).
1.59/1.77	thf(decl_1478, type, esk520_1: ((produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > $o) > (produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val).
1.59/1.77	thf(decl_1479, type, epred89_2: (nat > nat > $o) > (nat > $o) > nat > nat > $o).
1.59/1.77	thf(decl_1480, type, esk521_1: (nat > nat > $o) > nat > set_nat).
1.59/1.77	thf(decl_1481, type, esk522_1: set_Pr8693737435421807431at_nat > product_prod_nat_nat > set_Pr8693737435421807431at_nat).
1.59/1.77	thf(decl_1482, type, esk523_1: set_Pr1261947904930325089at_nat > produc859450856879609959at_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1483, type, esk524_1: set_Pr4329608150637261639at_nat > produc859450856879609959at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1484, type, epred90_2: (nat > set_nat) > set_nat > nat > $o).
1.59/1.77	thf(decl_1485, type, epred91_2: (nat > set_Pr1261947904930325089at_nat) > set_nat > nat > $o).
1.59/1.77	thf(decl_1486, type, epred92_2: (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1487, type, epred93_2: (produc859450856879609959at_nat > set_Pr1261947904930325089at_nat) > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > $o).
1.59/1.77	thf(decl_1488, type, epred94_2: (nat > set_Pr4329608150637261639at_nat) > set_nat > nat > $o).
1.59/1.77	thf(decl_1489, type, epred95_2: (produc3843707927480180839at_nat > set_Pr1261947904930325089at_nat) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > $o).
1.59/1.77	thf(decl_1490, type, epred96_2: (product_prod_nat_nat > set_Pr4329608150637261639at_nat) > set_Pr1261947904930325089at_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1491, type, epred97_2: ((produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val) > set_Pr3433046674199179443r_prat > (produc1457211279475724562t_char > prat) > $o).
1.59/1.77	thf(decl_1492, type, epred98_2: (produc859450856879609959at_nat > set_Pr4329608150637261639at_nat) > set_Pr8693737435421807431at_nat > produc859450856879609959at_nat > $o).
1.59/1.77	thf(decl_1493, type, epred99_2: (produc9003781588162623004on_val > set_Pr1261947904930325089at_nat) > set_Pr7649655576376376530on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1494, type, esk525_1: set_Pr3433046674199179443r_prat > (produc1457211279475724562t_char > option_val) > set_Pr3433046674199179443r_prat).
1.59/1.77	thf(decl_1495, type, esk526_2: (nat > produc9003781588162623004on_val) > (nat > produc9003781588162623004on_val) > nat > nat > produc1317171644805857433on_val).
1.59/1.77	thf(decl_1496, type, esk527_2: (nat > set_Pr4329608150637261639at_nat) > (nat > set_Pr4329608150637261639at_nat) > nat > nat > produc1319942482725812455at_nat).
1.59/1.77	thf(decl_1497, type, esk528_2: (nat > set_Pr1261947904930325089at_nat) > (nat > set_Pr1261947904930325089at_nat) > nat > nat > produc3843707927480180839at_nat).
1.59/1.77	thf(decl_1498, type, esk529_2: (nat > produc1457211279475724562t_char > option_val) > (nat > produc1457211279475724562t_char > prat) > nat > nat > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1499, type, esk530_2: (nat > nat) > (nat > nat) > nat > nat > product_prod_nat_nat).
1.59/1.77	thf(decl_1500, type, esk531_2: (nat > set_nat) > (nat > set_nat) > nat > set_nat).
1.59/1.77	thf(decl_1501, type, esk532_2: (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > (product_prod_nat_nat > set_Pr1261947904930325089at_nat) > product_prod_nat_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1502, type, esk533_2: (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat).
1.59/1.77	thf(decl_1503, type, epred100_2: (product_prod_nat_nat > product_prod_nat_nat > $o) > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1504, type, epred101_2: (produc9003781588162623004on_val > produc9003781588162623004on_val > $o) > set_Pr7649655576376376530on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1505, type, epred102_2: (set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o) > set_se5479201105039950375at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o).
1.59/1.77	thf(decl_1506, type, epred103_2: (set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o) > set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1507, type, epred104_2: (nat > nat > $o) > set_nat > nat > nat > $o).
1.59/1.77	thf(decl_1508, type, esk534_0: produc9003781588162623004on_val > set_Pr4305388979797279737on_val).
1.59/1.77	thf(decl_1509, type, esk535_0: set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat).
1.59/1.77	thf(decl_1510, type, esk536_0: nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1511, type, esk537_0: set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1512, type, esk538_1: (nat > set_nat) > set_nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1513, type, esk539_2: (nat > set_nat) > (nat > set_nat) > nat > nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1514, type, esk540_0: produc9003781588162623004on_val > produc9003781588162623004on_val > set_Pr4305388979797279737on_val).
1.59/1.77	thf(decl_1515, type, esk541_1: (produc9003781588162623004on_val > set_Pr7649655576376376530on_val) > produc9003781588162623004on_val > set_Pr4305388979797279737on_val).
1.59/1.77	thf(decl_1516, type, esk542_0: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat).
1.59/1.77	thf(decl_1517, type, esk543_1: (set_Pr4329608150637261639at_nat > set_se5479201105039950375at_nat) > set_Pr4329608150637261639at_nat > set_Pr7459493094073627847at_nat).
1.59/1.77	thf(decl_1518, type, esk544_0: (produc1457211279475724562t_char > prat) > (produc1457211279475724562t_char > option_val) > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1519, type, esk545_1: ((produc1457211279475724562t_char > prat) > set_Pr1004501353197068112on_val) > (produc1457211279475724562t_char > prat) > set_Pr7649655576376376530on_val).
1.59/1.77	thf(decl_1520, type, esk546_0: nat > nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1521, type, esk547_1: (nat > set_nat) > nat > set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1522, type, esk548_0: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1523, type, esk549_1: (set_Pr1261947904930325089at_nat > set_se7855581050983116737at_nat) > set_Pr1261947904930325089at_nat > set_Pr4329608150637261639at_nat).
1.59/1.77	thf(decl_1524, type, epred105_2: set_Pr8693737435421807431at_nat > product_prod_nat_nat > product_prod_nat_nat > $o).
1.59/1.77	thf(decl_1525, type, epred106_2: set_Pr4305388979797279737on_val > produc9003781588162623004on_val > produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1526, type, epred107_2: set_Pr7459493094073627847at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o).
1.59/1.77	thf(decl_1527, type, epred108_2: set_Pr4329608150637261639at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o).
1.59/1.77	thf(decl_1528, type, epred109_2: set_Pr1261947904930325089at_nat > nat > nat > $o).
1.59/1.77	thf(decl_1529, type, epred110_1: nat > nat > nat > $o).
1.59/1.77	thf(decl_1530, type, epred111_1: nat > nat > $o).
1.59/1.77	thf(decl_1531, type, epred112_0: produc9003781588162623004on_val > $o).
1.59/1.77	thf(decl_1532, type, esk550_1: produc9003781588162623004on_val > produc9003781588162623004on_val).
1.59/1.77	thf(decl_1533, type, esk551_0: produc1457211279475724562t_char > prat).
1.59/1.77	thf(decl_1534, type, esk552_0: nat).
1.59/1.77	thf(decl_1535, type, esk553_0: nat).
1.59/1.77	thf(decl_1536, type, esk554_1: (nat > nat > $o) > nat).
1.59/1.77	thf(decl_1537, type, esk555_1: (nat > nat > $o) > nat).
1.59/1.77	thf(decl_1538, type, esk556_0: nat).
1.59/1.77	thf(decl_1539, type, esk557_0: nat).
1.59/1.77	thf(decl_1540, type, esk558_1: produc1457211279475724562t_char > prat).
1.59/1.77	thf(decl_1541, type, esk559_1: produc1457211279475724562t_char > option_val).
1.59/1.77	thf(decl_1542, type, esk560_0: nat).
1.59/1.77	thf(decl_1543, type, esk561_0: nat).
1.59/1.77	thf(decl_1544, type, esk562_0: nat).
1.59/1.77	thf(decl_1545, type, esk563_0: nat).
1.59/1.77	thf(decl_1546, type, esk564_0: nat).
1.59/1.77	thf(decl_1547, type, esk565_0: nat).
1.59/1.77	thf(decl_1548, type, esk566_0: nat).
1.59/1.77	thf(decl_1549, type, esk567_0: nat).
1.59/1.77	thf(decl_1550, type, esk568_0: nat).
1.59/1.77	thf(decl_1551, type, esk569_0: nat).
1.59/1.77	thf(decl_1552, type, esk570_0: set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1553, type, esk571_0: set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1554, type, esk572_0: nat).
1.59/1.77	thf(decl_1555, type, esk573_0: nat).
1.59/1.77	thf(decl_1556, type, esk574_0: nat).
1.59/1.77	thf(decl_1557, type, esk575_0: nat).
1.59/1.77	thf(decl_1558, type, esk576_1: (nat > nat > $o) > nat).
1.59/1.77	thf(decl_1559, type, esk577_0: nat).
1.59/1.77	thf(decl_1560, type, esk578_0: nat).
1.59/1.77	thf(decl_1561, type, esk579_0: nat).
1.59/1.77	thf(decl_1562, type, esk580_0: nat).
1.59/1.77	thf(decl_1563, type, esk581_0: nat).
1.59/1.77	thf(decl_1564, type, esk582_0: nat).
1.59/1.77	thf(decl_1565, type, esk583_0: nat).
1.59/1.77	thf(decl_1566, type, esk584_0: nat).
1.59/1.77	thf(decl_1567, type, esk585_0: nat).
1.59/1.77	thf(decl_1568, type, esk586_0: nat).
1.59/1.77	thf(decl_1569, type, esk587_0: nat).
1.59/1.77	thf(decl_1570, type, esk588_0: nat).
1.59/1.77	thf(decl_1571, type, esk589_0: nat).
1.59/1.77	thf(decl_1572, type, esk590_1: produc1457211279475724562t_char > option_val).
1.59/1.77	thf(decl_1573, type, esk591_2: state > state > produc1457211279475724562t_char).
1.59/1.77	thf(decl_1574, type, esk592_2: state > state > produc1457211279475724562t_char).
1.59/1.77	thf(decl_1575, type, esk593_0: nat).
1.59/1.77	thf(decl_1576, type, esk594_0: nat).
1.59/1.77	thf(decl_1577, type, esk595_3: produc9003781588162623004on_val > state > state > produc1457211279475724562t_char).
1.59/1.77	thf(decl_1578, type, esk596_3: produc9003781588162623004on_val > state > state > produc1457211279475724562t_char).
1.59/1.77	thf(decl_1579, type, esk597_0: nat).
1.59/1.77	thf(decl_1580, type, esk598_0: nat).
1.59/1.77	thf(decl_1581, type, esk599_0: nat).
1.59/1.77	thf(decl_1582, type, esk600_0: set_Pr1261947904930325089at_nat).
1.59/1.77	thf(decl_1583, type, esk601_0: nat).
1.59/1.77	thf(decl_1584, type, esk602_0: nat).
1.59/1.77	thf(decl_1585, type, esk603_0: nat).
1.59/1.77	thf(decl_1586, type, esk604_0: nat).
1.59/1.77	thf(decl_1587, type, esk605_0: nat).
1.59/1.77	thf(decl_1588, type, esk606_0: nat).
1.59/1.77	thf(decl_1589, type, esk607_0: nat).
1.59/1.77	thf(decl_1590, type, esk608_0: nat).
1.59/1.77	thf(decl_1591, type, esk609_0: nat).
1.59/1.77	thf(decl_1592, type, esk610_0: nat).
1.59/1.77	thf(decl_1593, type, esk611_0: nat).
1.59/1.77	thf(decl_1594, type, esk612_0: nat).
1.59/1.77	thf(decl_1595, type, esk613_0: nat).
1.59/1.77	thf(decl_1596, type, esk614_0: nat).
1.59/1.77	thf(decl_1597, type, esk615_0: nat).
1.59/1.77	thf(decl_1598, type, esk616_0: nat).
1.59/1.77	thf(decl_1599, type, esk617_0: nat).
1.59/1.77	thf(decl_1600, type, esk618_0: nat).
1.59/1.77	thf(decl_1601, type, esk619_0: nat).
1.59/1.77	thf(decl_1602, type, esk620_0: nat).
1.59/1.77	thf(decl_1603, type, esk621_0: nat).
1.59/1.77	thf(decl_1604, type, esk622_0: nat).
1.59/1.77	thf(decl_1605, type, esk623_0: nat).
1.59/1.77	thf(decl_1606, type, esk624_0: nat).
1.59/1.77	thf(decl_1607, type, esk625_0: nat).
1.59/1.77	thf(decl_1608, type, esk626_0: nat).
1.59/1.77	thf(decl_1609, type, esk627_0: nat).
1.59/1.77	thf(decl_1610, type, esk628_0: nat).
1.59/1.77	thf(decl_1611, type, esk629_0: nat).
1.59/1.77	thf(fact_4_plus__def, axiom, ((plus)=(^[X3:state, X4:state]:(if_option_state @ ((compatible @ (rep_state @ X3) @ (rep_state @ X4))) @ (some_state @ (abs_state @ (add_states @ (rep_state @ X3) @ (rep_state @ X4)))) @ none_state))), file('/export/starexec/sandbox2/tmp/tmp.fWqycHb7c8/Vampire---4.8_29066', fact_4_plus__def)).
1.59/1.77	thf(help_If_2_1_If_001t__Option__Ooption_It__PartialHeapSA__Ostate_J_T, axiom, ![X3745:option_state, X3746:option_state]:(((if_option_state @ (~($true)) @ X3745 @ X3746)=(X3746))), file('/export/starexec/sandbox2/tmp/tmp.fWqycHb7c8/Vampire---4.8_29066', help_If_2_1_If_001t__Option__Ooption_It__PartialHeapSA__Ostate_J_T)).
1.59/1.77	thf(conj_0, conjecture, (compatible @ (rep_state @ a) @ (rep_state @ b)), file('/export/starexec/sandbox2/tmp/tmp.fWqycHb7c8/Vampire---4.8_29066', conj_0)).
1.59/1.77	thf(fact_135_option_Odistinct_I1_J, axiom, ![X97:state]:(((none_state)!=(some_state @ X97))), file('/export/starexec/sandbox2/tmp/tmp.fWqycHb7c8/Vampire---4.8_29066', fact_135_option_Odistinct_I1_J)).
1.59/1.77	thf(fact_1_assms, axiom, ((plus @ a @ b)=(some_state @ x)), file('/export/starexec/sandbox2/tmp/tmp.fWqycHb7c8/Vampire---4.8_29066', fact_1_assms)).
1.59/1.77	thf(c_0_5, plain, ![X7026:state, X7027:state]:(((~(compatible @ (rep_state @ X7026) @ (rep_state @ X7027))|((plus @ X7026 @ X7027)=(if_option_state @ $true @ (some_state @ (abs_state @ (add_states @ (rep_state @ X7026) @ (rep_state @ X7027)))) @ none_state)))&((compatible @ (rep_state @ X7026) @ (rep_state @ X7027))|((plus @ X7026 @ X7027)=(if_option_state @ $false @ (some_state @ (abs_state @ (add_states @ (rep_state @ X7026) @ (rep_state @ X7027)))) @ none_state))))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_4_plus__def])])])).
1.59/1.77	thf(c_0_6, plain, ![X11128:option_state, X11129:option_state]:(((if_option_state @ (~($true)) @ X11128 @ X11129)=(X11129))), inference(variable_rename,[status(thm)],[help_If_2_1_If_001t__Option__Ooption_It__PartialHeapSA__Ostate_J_T])).
1.59/1.77	thf(c_0_7, plain, ![X7260:state, X7261:state]:(((~(compatible @ (rep_state @ X7260) @ (rep_state @ X7261))|((plus @ X7260 @ X7261)=(if_option_state @ $true @ (some_state @ (abs_state @ (add_states @ (rep_state @ X7260) @ (rep_state @ X7261)))) @ none_state)))&((compatible @ (rep_state @ X7260) @ (rep_state @ X7261))|((plus @ X7260 @ X7261)=(if_option_state @ $false @ (some_state @ (abs_state @ (add_states @ (rep_state @ X7260) @ (rep_state @ X7261)))) @ none_state))))), inference(variable_rename,[status(thm)],[c_0_5])).
1.59/1.77	thf(c_0_8, plain, ![X27:option_state, X31:option_state]:(((if_option_state @ (((($true))!=(($true)))) @ X27 @ X31)=(X31))), inference(split_conjunct,[status(thm)],[c_0_6])).
1.59/1.77	thf(c_0_9, negated_conjecture, ~(compatible @ (rep_state @ a) @ (rep_state @ b)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
1.59/1.77	thf(c_0_10, plain, ![X1:state, X2:state]:(((compatible @ (rep_state @ X1) @ (rep_state @ X2))|((plus @ X1 @ X2)=(if_option_state @ (~($true)) @ (some_state @ (abs_state @ (add_states @ (rep_state @ X1) @ (rep_state @ X2)))) @ none_state)))), inference(split_conjunct,[status(thm)],[c_0_7])).
1.59/1.77	thf(c_0_11, plain, ![X27:option_state, X31:option_state]:(((if_option_state @ (~($true)) @ X27 @ X31)=(X31))), inference(cn,[status(thm)],[c_0_8])).
1.59/1.77	thf(c_0_12, plain, ![X7643:state]:(((none_state)!=(some_state @ X7643))), inference(variable_rename,[status(thm)],[fact_135_option_Odistinct_I1_J])).
1.59/1.77	thf(c_0_13, negated_conjecture, ~((compatible @ (rep_state @ a) @ (rep_state @ b))), inference(split_conjunct,[status(thm)],[c_0_9])).
1.59/1.77	thf(c_0_14, plain, ![X1:state, X2:state]:((((plus @ X1 @ X2)=(none_state))|(compatible @ (rep_state @ X1) @ (rep_state @ X2)))), inference(rw,[status(thm)],[c_0_10, c_0_11])).
1.59/1.77	thf(c_0_15, plain, ((plus @ a @ b)=(some_state @ x)), inference(split_conjunct,[status(thm)],[fact_1_assms])).
1.59/1.77	thf(c_0_16, plain, ![X1:state]:(((none_state)!=(some_state @ X1))), inference(split_conjunct,[status(thm)],[c_0_12])).
1.59/1.77	thf(c_0_17, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15]), c_0_16]), ['proof']).
1.59/1.77	# SZS output end CNFRefutation
1.59/1.77	# Parsed axioms                        : 2240
1.59/1.77	# Removed by relevancy pruning/SinE    : 0
1.59/1.77	# Initial clauses                      : 3861
1.59/1.77	# Removed in clause preprocessing      : 1220
1.59/1.77	# Initial clauses in saturation        : 2641
1.59/1.77	# Processed clauses                    : 3329
1.59/1.77	# ...of these trivial                  : 65
1.59/1.77	# ...subsumed                          : 263
1.59/1.77	# ...remaining for further processing  : 3001
1.59/1.77	# Other redundant clauses eliminated   : 319
1.59/1.77	# Clauses deleted for lack of memory   : 0
1.59/1.77	# Backward-subsumed                    : 10
1.59/1.77	# Backward-rewritten                   : 7
1.59/1.77	# Generated clauses                    : 594
1.59/1.77	# ...of the previous two non-redundant : 463
1.59/1.77	# ...aggressively subsumed             : 0
1.59/1.77	# Contextual simplify-reflections      : 0
1.59/1.77	# Paramodulations                      : 97
1.59/1.77	# Factorizations                       : 0
1.59/1.77	# NegExts                              : 78
1.59/1.77	# Equation resolutions                 : 322
1.59/1.77	# Propositional unsat checks           : 0
1.59/1.77	#    Propositional check models        : 0
1.59/1.77	#    Propositional check unsatisfiable : 0
1.59/1.77	#    Propositional clauses             : 0
1.59/1.77	#    Propositional clauses after purity: 0
1.59/1.77	#    Propositional unsat core size     : 0
1.59/1.77	#    Propositional preprocessing time  : 0.000
1.59/1.77	#    Propositional encoding time       : 0.000
1.59/1.77	#    Propositional solver time         : 0.000
1.59/1.77	#    Success case prop preproc time    : 0.000
1.59/1.77	#    Success case prop encoding time   : 0.000
1.59/1.77	#    Success case prop solver time     : 0.000
1.59/1.77	# Current number of processed clauses  : 484
1.59/1.77	#    Positive orientable unit clauses  : 235
1.59/1.77	#    Positive unorientable unit clauses: 0
1.59/1.77	#    Negative unit clauses             : 30
1.59/1.77	#    Non-unit-clauses                  : 219
1.59/1.77	# Current number of unprocessed clauses: 1997
1.59/1.77	# ...number of literals in the above   : 4636
1.59/1.77	# Current number of archived formulas  : 0
1.59/1.77	# Current number of archived clauses   : 2244
1.59/1.77	# Clause-clause subsumption calls (NU) : 783121
1.59/1.77	# Rec. Clause-clause subsumption calls : 441531
1.59/1.77	# Non-unit clause-clause subsumptions  : 263
1.59/1.77	# Unit Clause-clause subsumption calls : 10996
1.59/1.77	# Rewrite failures with RHS unbound    : 0
1.59/1.77	# BW rewrite match attempts            : 468
1.59/1.77	# BW rewrite match successes           : 25
1.59/1.77	# Condensation attempts                : 3329
1.59/1.77	# Condensation successes               : 8
1.59/1.77	# Termbank termtop insertions          : 256166
1.59/1.77	
1.59/1.77	# -------------------------------------------------
1.59/1.77	# User time                : 0.714 s
1.59/1.77	# System time              : 0.039 s
1.59/1.77	# Total time               : 0.753 s
1.59/1.77	# Maximum resident set size: 20868 pages
1.59/1.77	
1.59/1.77	# -------------------------------------------------
1.59/1.77	# User time                : 0.807 s
1.59/1.77	# System time              : 0.049 s
1.59/1.77	# Total time               : 0.856 s
1.59/1.77	# Maximum resident set size: 6688 pages
1.59/1.77	EOF