0.00/0.07	% Problem    : SLH680^1 : TPTP v7.5.0. Released v7.5.0.
0.00/0.08	% Command    : run_E %s %d THM
0.08/0.27	% Computer : n015.cluster.edu
0.08/0.27	% Model    : x86_64 x86_64
0.08/0.27	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.27	% Memory   : 8042.1875MB
0.08/0.27	% OS       : Linux 3.10.0-693.el7.x86_64
0.08/0.27	% CPULimit   : 30
0.08/0.27	% WCLimit    : 30
0.08/0.27	% DateTime   : Tue Aug  9 03:36:56 EDT 2022
0.08/0.27	% CPUTime    : 
0.12/0.34	The problem SPC is TH0_THM_EQU_NAR
0.12/0.34	Running higher-order on 1 cores theorem proving
0.12/0.34	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox/benchmark/theBenchmark.p
0.12/0.34	# Version: 3.0pre003-ho
0.12/0.43	# Preprocessing class: HSLMSMSSSSLCHSA.
0.12/0.43	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.12/0.43	# Starting pre_casc_6 with 30s (1) cores
0.12/0.43	# pre_casc_6 with pid 30944 completed with status 0
0.12/0.43	# Result found by pre_casc_6
0.12/0.43	# Preprocessing class: HSLMSMSSSSLCHSA.
0.12/0.43	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.12/0.43	# Starting pre_casc_6 with 30s (1) cores
0.12/0.43	# SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
0.12/0.43	# ...ProofStateSinE()=206/496
0.12/0.43	# Search class: HGHSM-FSLF32-MHSFFMBN
0.12/0.43	# partial match(1): HGHSM-FSLM32-MHSFFMBN
0.12/0.43	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.12/0.43	# Starting new_ho_10 with 17s (1) cores
0.12/0.43	# new_ho_10 with pid 30982 completed with status 0
0.12/0.43	# Result found by new_ho_10
0.12/0.43	# Preprocessing class: HSLMSMSSSSLCHSA.
0.12/0.43	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.12/0.43	# Starting pre_casc_6 with 30s (1) cores
0.12/0.43	# SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
0.12/0.43	# ...ProofStateSinE()=206/496
0.12/0.43	# Search class: HGHSM-FSLF32-MHSFFMBN
0.12/0.43	# partial match(1): HGHSM-FSLM32-MHSFFMBN
0.12/0.43	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.12/0.43	# Starting new_ho_10 with 17s (1) cores
0.12/0.43	# Preprocessing time       : 0.007 s
0.12/0.43	# Presaturation interreduction done
0.12/0.43	
0.12/0.43	# Proof found!
0.12/0.43	# SZS status Theorem
0.12/0.43	# SZS output start CNFRefutation
0.12/0.43	thf(decl_22, type, bNF_Gr_a_a: set_a > (a > a) > set_Product_prod_a_a).
0.12/0.43	thf(decl_23, type, fun_in_rel_a_a: set_Product_prod_a_a > a > a > $o).
0.12/0.43	thf(decl_24, type, fun_rp_inv_image_a_a: produc1068693223od_a_a > (a > a) > produc1068693223od_a_a).
0.12/0.43	thf(decl_25, type, the_Pr374400494od_a_a: (produc1572603623od_a_a > $o) > produc1572603623od_a_a).
0.12/0.43	thf(decl_26, type, the_Product_prod_a_a: (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_27, type, defaul1399868459t_unit: product_unit).
0.12/0.43	thf(decl_28, type, if_Product_prod_a_a: $o > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_29, type, order_89736466od_a_a: set_Pr1948701895od_a_a > product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_30, type, order_aboveS_a: set_Product_prod_a_a > a > set_a).
0.12/0.43	thf(decl_31, type, order_666794023od_a_a: set_Pr1948701895od_a_a > product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_32, type, order_above_a: set_Product_prod_a_a > a > set_a).
0.12/0.43	thf(decl_33, type, order_relation_of_a: (a > a > $o) > set_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_34, type, bot_bo2131659635od_a_a: set_Product_prod_a_a).
0.12/0.43	thf(decl_35, type, ord_le1347718902_a_a_o: (product_prod_a_a > $o) > (product_prod_a_a > $o) > $o).
0.12/0.43	thf(decl_36, type, ord_less_eq_a_a_o: (a > a > $o) > (a > a > $o) > $o).
0.12/0.43	thf(decl_37, type, ord_le456379495od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > $o).
0.12/0.43	thf(decl_38, type, ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o).
0.12/0.43	thf(decl_39, type, produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a).
0.12/0.43	thf(decl_40, type, produc2054708503_a_a_a: produc1016684094_a_a_a > produc1016684094_a_a_a > produc1120419623_a_a_a).
0.12/0.43	thf(decl_41, type, produc563767703od_a_a: produc1921647824od_a_a > produc1921647824od_a_a > produc2010915495od_a_a).
0.12/0.43	thf(decl_42, type, produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a).
0.12/0.43	thf(decl_43, type, produc2061588782_a_a_a: product_prod_a_a > a > produc1016684094_a_a_a).
0.12/0.43	thf(decl_44, type, produc1903864663od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > produc1068693223od_a_a).
0.12/0.43	thf(decl_45, type, produc1299253312od_a_a: a > product_prod_a_a > produc1921647824od_a_a).
0.12/0.43	thf(decl_46, type, product_Pair_a_a: a > a > product_prod_a_a).
0.12/0.43	thf(decl_47, type, produc304751368od_a_a: set_Product_prod_a_a > (product_prod_a_a > set_Product_prod_a_a) > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_48, type, product_Sigma_a_a: set_a > (a > set_a) > set_Product_prod_a_a).
0.12/0.43	thf(decl_49, type, product_Unity: product_unit).
0.12/0.43	thf(decl_50, type, produc94438221_a_a_o: (produc1572603623od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_51, type, produc1756687457_a_a_o: (product_prod_a_a > product_prod_a_a > $o) > a > a > product_prod_a_a > $o).
0.12/0.43	thf(decl_52, type, product_curry_a_a_o: (product_prod_a_a > $o) > a > a > $o).
0.12/0.43	thf(decl_53, type, produc578050972od_a_a: (product_prod_a_a > product_prod_a_a) > a > a > product_prod_a_a).
0.12/0.43	thf(decl_54, type, produc143372156od_a_a: (product_prod_a_a > set_Product_prod_a_a) > a > a > set_Product_prod_a_a).
0.12/0.43	thf(decl_55, type, produc472871638_a_a_o: (product_prod_a_a > product_prod_a_a > $o) > produc1572603623od_a_a > $o).
0.12/0.43	thf(decl_56, type, produc21626264_a_a_o: (a > a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_57, type, produc748978966_a_a_o: (a > a > $o) > product_prod_a_a > $o).
0.12/0.43	thf(decl_58, type, produc372213669od_a_a: (a > a > product_prod_a_a) > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_59, type, produc1653225349od_a_a: (a > a > set_Product_prod_a_a) > product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_60, type, produc1125421408od_a_a: product_prod_a_a > product_prod_a_a > $o > product_prod_a_a).
0.12/0.43	thf(decl_61, type, produc944120342od_a_a: product_prod_a_a > product_prod_a_a > $o > product_prod_a_a > $o).
0.12/0.43	thf(decl_62, type, produc529483938od_a_a: product_prod_a_a > product_unit > product_prod_a_a > $o).
0.12/0.43	thf(decl_63, type, produc1506013664od_a_a: product_prod_a_a > product_unit > product_prod_a_a).
0.12/0.43	thf(decl_64, type, produc1838961964_a_a_o: (produc1572603623od_a_a > produc1572603623od_a_a > $o) > produc1990712039od_a_a > $o).
0.12/0.43	thf(decl_65, type, produc257651564_a_a_o: (produc1016684094_a_a_a > produc1016684094_a_a_a > $o) > produc1120419623_a_a_a > $o).
0.12/0.43	thf(decl_66, type, produc552027884_a_a_o: (produc1921647824od_a_a > produc1921647824od_a_a > $o) > produc2010915495od_a_a > $o).
0.12/0.43	thf(decl_67, type, produc1705350210_a_a_o: (product_prod_a_a > product_prod_a_a > produc1572603623od_a_a > $o) > produc1572603623od_a_a > produc1572603623od_a_a > $o).
0.12/0.43	thf(decl_68, type, produc816211244_a_a_o: (product_prod_a_a > product_prod_a_a > $o) > produc1572603623od_a_a > $o).
0.12/0.43	thf(decl_69, type, produc1372301947od_a_a: (product_prod_a_a > product_prod_a_a > produc1572603623od_a_a) > produc1572603623od_a_a > produc1572603623od_a_a).
0.12/0.43	thf(decl_70, type, produc229596172_set_o: (product_prod_a_a > product_prod_a_a > set_o) > produc1572603623od_a_a > set_o).
0.12/0.43	thf(decl_71, type, produc1279141979od_a_a: (product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a) > produc1572603623od_a_a > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_72, type, produc1772851355od_a_a: (product_prod_a_a > product_prod_a_a > set_Product_prod_a_a) > produc1572603623od_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_73, type, produc869579762_set_a: (product_prod_a_a > product_prod_a_a > set_a) > produc1572603623od_a_a > set_a).
0.12/0.43	thf(decl_74, type, produc1766935938_a_a_o: (product_prod_a_a > a > produc1016684094_a_a_a > $o) > produc1016684094_a_a_a > produc1016684094_a_a_a > $o).
0.12/0.43	thf(decl_75, type, produc155235221_a_a_o: (product_prod_a_a > a > $o) > produc1016684094_a_a_a > $o).
0.12/0.43	thf(decl_76, type, produc851251597od_a_a: (set_Product_prod_a_a > set_Product_prod_a_a > (a > a) > produc1068693223od_a_a) > produc1068693223od_a_a > (a > a) > produc1068693223od_a_a).
0.12/0.43	thf(decl_77, type, produc1849781890_a_a_o: (a > product_prod_a_a > produc1921647824od_a_a > $o) > produc1921647824od_a_a > produc1921647824od_a_a > $o).
0.12/0.43	thf(decl_78, type, produc280085507_a_a_o: (a > product_prod_a_a > $o) > produc1921647824od_a_a > $o).
0.12/0.43	thf(decl_79, type, produc332081090_a_a_o: (a > a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_80, type, produc1833107820_a_a_o: (a > a > $o) > product_prod_a_a > $o).
0.12/0.43	thf(decl_81, type, produc710702331od_a_a: (a > a > product_prod_a_a) > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_82, type, produc2008741964_set_o: (a > a > set_o) > product_prod_a_a > set_o).
0.12/0.43	thf(decl_83, type, produc1751966875od_a_a: (a > a > set_Pr1948701895od_a_a) > product_prod_a_a > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_84, type, produc1093061851od_a_a: (a > a > set_Product_prod_a_a) > product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_85, type, produc961951794_set_a: (a > a > set_a) > product_prod_a_a > set_a).
0.12/0.43	thf(decl_86, type, produc2115494211od_a_a: produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_87, type, product_fst_a_a: product_prod_a_a > a).
0.12/0.43	thf(decl_88, type, produc368344197od_a_a: produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_89, type, product_snd_a_a: product_prod_a_a > a).
0.12/0.43	thf(decl_90, type, produc1641853175od_a_a: produc1572603623od_a_a > produc1572603623od_a_a).
0.12/0.43	thf(decl_91, type, product_swap_a_a: product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_92, type, product_product_a_a: set_a > set_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_93, type, conversep_a_a: (a > a > $o) > a > a > $o).
0.12/0.43	thf(decl_94, type, inv_im1103420434od_a_a: set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a) > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_95, type, inv_im777352425_a_a_a: set_Pr1948701895od_a_a > (a > product_prod_a_a) > set_Product_prod_a_a).
0.12/0.43	thf(decl_96, type, inv_im15016955od_a_a: set_Product_prod_a_a > (product_prod_a_a > a) > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_97, type, inv_image_a_a: set_Product_prod_a_a > (a > a) > set_Product_prod_a_a).
0.12/0.43	thf(decl_98, type, irrefl76447196od_a_a: set_Pr1948701895od_a_a > $o).
0.12/0.43	thf(decl_99, type, irrefl_a: set_Product_prod_a_a > $o).
0.12/0.43	thf(decl_100, type, irreflp_a: (a > a > $o) > $o).
0.12/0.43	thf(decl_101, type, refl_o1298442278od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o).
0.12/0.43	thf(decl_102, type, refl_on_a: set_a > set_Product_prod_a_a > $o).
0.12/0.43	thf(decl_103, type, collect_o: ($o > $o) > set_o).
0.12/0.43	thf(decl_104, type, collec1460196690od_a_a: (produc1990712039od_a_a > $o) > set_Pr1295299783od_a_a).
0.12/0.43	thf(decl_105, type, collec2074312594_a_a_a: (produc1120419623_a_a_a > $o) > set_Pr729215751_a_a_a).
0.12/0.43	thf(decl_106, type, collec817324818od_a_a: (produc2010915495od_a_a > $o) > set_Pr231806599od_a_a).
0.12/0.43	thf(decl_107, type, collec1635618130od_a_a: (produc1572603623od_a_a > $o) > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_108, type, collec645855634od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a).
0.12/0.43	thf(decl_109, type, collect_a: (a > $o) > set_a).
0.12/0.43	thf(decl_110, type, image_1577022262_a_a_o: (product_prod_a_a > $o) > set_Product_prod_a_a > set_o).
0.12/0.43	thf(decl_111, type, image_794773445od_a_a: (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_112, type, transi1160418294od_a_a: set_Pr1948701895od_a_a > $o).
0.12/0.43	thf(decl_113, type, transitive_acyclic_a: set_Product_prod_a_a > $o).
0.12/0.43	thf(decl_114, type, transi1683704968od_a_a: set_Pr1295299783od_a_a > set_Pr1295299783od_a_a).
0.12/0.43	thf(decl_115, type, transi1705247944od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_116, type, transitive_trancl_a: set_Product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_117, type, transi1603745428od_a_a: (produc1572603623od_a_a > produc1572603623od_a_a > $o) > produc1572603623od_a_a > produc1572603623od_a_a > $o).
0.12/0.43	thf(decl_118, type, transi1600636628od_a_a: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_119, type, transitive_tranclp_a: (a > a > $o) > a > a > $o).
0.12/0.43	thf(decl_120, type, lex_pr942790511od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a).
0.12/0.43	thf(decl_121, type, lex_pr2084296006_a_a_a: set_Pr1948701895od_a_a > set_Product_prod_a_a > set_Pr729215751_a_a_a).
0.12/0.43	thf(decl_122, type, lex_pr1321960536od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Pr231806599od_a_a).
0.12/0.43	thf(decl_123, type, lex_prod_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_124, type, wfP_o: ($o > $o > $o) > $o).
0.12/0.43	thf(decl_125, type, wfP_Pr581774956od_a_a: (produc1572603623od_a_a > produc1572603623od_a_a > $o) > $o).
0.12/0.43	thf(decl_126, type, wfP_Product_prod_a_a: (product_prod_a_a > product_prod_a_a > $o) > $o).
0.12/0.43	thf(decl_127, type, wfP_a: (a > a > $o) > $o).
0.12/0.43	thf(decl_128, type, same_f1138477100od_a_a: (product_prod_a_a > $o) > (product_prod_a_a > set_Pr1948701895od_a_a) > set_Pr1295299783od_a_a).
0.12/0.43	thf(decl_129, type, same_fst_a_a: (a > $o) > (a > set_Product_prod_a_a) > set_Pr1948701895od_a_a).
0.12/0.43	thf(decl_130, type, member_o: $o > set_o > $o).
0.12/0.43	thf(decl_131, type, member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o).
0.12/0.43	thf(decl_132, type, member470802768_a_a_a: produc1120419623_a_a_a > set_Pr729215751_a_a_a > $o).
0.12/0.43	thf(decl_133, type, member1361298640od_a_a: produc2010915495od_a_a > set_Pr231806599od_a_a > $o).
0.12/0.43	thf(decl_134, type, member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o).
0.12/0.43	thf(decl_135, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o).
0.12/0.43	thf(decl_136, type, member_a: a > set_a > $o).
0.12/0.43	thf(decl_137, type, p: a > $o).
0.12/0.43	thf(decl_138, type, a2: a).
0.12/0.43	thf(decl_139, type, b: a).
0.12/0.43	thf(decl_140, type, r: set_Product_prod_a_a).
0.12/0.43	thf(decl_141, type, y: a).
0.12/0.43	thf(decl_142, type, esk1_2: set_Product_prod_a_a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_143, type, esk2_2: set_Product_prod_a_a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_144, type, esk3_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_145, type, esk4_4: a > a > set_Product_prod_a_a > (a > $o) > a).
0.12/0.43	thf(decl_146, type, esk5_4: a > a > set_Product_prod_a_a > (a > $o) > a).
0.12/0.43	thf(decl_147, type, esk6_4: a > a > set_Product_prod_a_a > (a > $o) > a).
0.12/0.43	thf(decl_148, type, esk7_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_149, type, esk8_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_150, type, esk9_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_151, type, esk10_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_152, type, esk11_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_153, type, esk12_1: set_Product_prod_a_a > a).
0.12/0.43	thf(decl_154, type, esk13_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_155, type, esk14_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_156, type, esk15_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_157, type, esk16_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_158, type, esk17_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_159, type, esk18_4: a > a > set_Product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_160, type, esk19_4: a > a > set_Product_prod_a_a > (a > $o) > a).
0.12/0.43	thf(decl_161, type, esk20_4: a > a > set_Product_prod_a_a > (a > $o) > a).
0.12/0.43	thf(decl_162, type, esk21_4: a > a > set_Product_prod_a_a > (a > $o) > a).
0.12/0.43	thf(decl_163, type, esk22_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_164, type, esk23_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_165, type, esk24_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_166, type, esk25_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_167, type, esk26_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_168, type, esk27_3: a > a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_169, type, esk28_2: product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_170, type, esk29_2: product_prod_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_171, type, esk30_2: (a > a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_172, type, esk31_2: (a > a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_173, type, esk32_3: ($o > $o) > (a > a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_174, type, esk33_3: ($o > $o) > (a > a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_175, type, esk34_2: (a > a > $o) > (product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_176, type, esk35_2: (a > a > $o) > (product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_177, type, esk36_1: (product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_178, type, esk37_1: (product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_179, type, esk38_1: product_prod_a_a > a).
0.12/0.43	thf(decl_180, type, esk39_1: product_prod_a_a > a).
0.12/0.43	thf(decl_181, type, esk40_1: (produc1572603623od_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_182, type, esk41_1: (produc1572603623od_a_a > $o) > a).
0.12/0.43	thf(decl_183, type, esk42_1: (produc1572603623od_a_a > $o) > a).
0.12/0.43	thf(decl_184, type, esk43_1: produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_185, type, esk44_1: produc1572603623od_a_a > a).
0.12/0.43	thf(decl_186, type, esk45_1: produc1572603623od_a_a > a).
0.12/0.43	thf(decl_187, type, esk46_1: (product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_188, type, esk47_1: (product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_189, type, esk48_1: product_prod_a_a > a).
0.12/0.43	thf(decl_190, type, esk49_1: product_prod_a_a > a).
0.12/0.43	thf(decl_191, type, esk50_3: product_prod_a_a > (a > a > $o) > (a > a > $o) > a).
0.12/0.43	thf(decl_192, type, esk51_3: product_prod_a_a > (a > a > $o) > (a > a > $o) > a).
0.12/0.43	thf(decl_193, type, esk52_2: (product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_194, type, esk53_3: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_195, type, esk54_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_196, type, esk55_3: (a > a > $o) > a > a > a).
0.12/0.43	thf(decl_197, type, esk56_3: (a > a > $o) > a > a > a).
0.12/0.43	thf(decl_198, type, esk57_3: (a > a > $o) > a > a > a).
0.12/0.43	thf(decl_199, type, esk58_3: (a > a > $o) > a > a > a).
0.12/0.43	thf(decl_200, type, esk59_3: (a > a > $o) > a > a > a).
0.12/0.43	thf(decl_201, type, esk60_3: (a > a > $o) > a > a > a).
0.12/0.43	thf(decl_202, type, esk61_4: (a > a > $o) > a > a > (a > $o) > a).
0.12/0.43	thf(decl_203, type, esk62_4: (a > a > $o) > a > a > (a > $o) > a).
0.12/0.43	thf(decl_204, type, esk63_4: (a > a > $o) > a > a > (a > $o) > a).
0.12/0.43	thf(decl_205, type, esk64_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_206, type, esk65_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_207, type, esk66_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_208, type, esk67_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_209, type, esk68_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_210, type, esk69_3: (a > a > $o) > a > a > a).
0.12/0.43	thf(decl_211, type, esk70_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_212, type, esk71_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_213, type, esk72_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_214, type, esk73_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_215, type, esk74_4: (a > a > $o) > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_216, type, esk75_4: (a > a > $o) > a > a > (a > $o) > a).
0.12/0.43	thf(decl_217, type, esk76_4: (a > a > $o) > a > a > (a > $o) > a).
0.12/0.43	thf(decl_218, type, esk77_4: (a > a > $o) > a > a > (a > $o) > a).
0.12/0.43	thf(decl_219, type, esk78_3: (product_prod_a_a > $o) > (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_220, type, esk79_2: set_Product_prod_a_a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_221, type, esk80_2: set_Product_prod_a_a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_222, type, esk81_3: product_prod_a_a > set_a > (a > set_a) > a).
0.12/0.43	thf(decl_223, type, esk82_3: product_prod_a_a > set_a > (a > set_a) > a).
0.12/0.43	thf(decl_224, type, esk83_2: set_Product_prod_a_a > set_a > a).
0.12/0.43	thf(decl_225, type, esk84_2: set_a > set_Product_prod_a_a > a).
0.12/0.43	thf(decl_226, type, esk85_1: (produc1572603623od_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_227, type, esk86_1: (produc1572603623od_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_228, type, esk87_1: produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_229, type, esk88_1: produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_230, type, esk89_1: (produc1572603623od_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_231, type, esk90_1: (produc1572603623od_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_232, type, esk91_1: produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_233, type, esk92_1: produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_234, type, esk93_2: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_235, type, esk94_2: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_236, type, esk95_2: a > product_prod_a_a > a).
0.12/0.43	thf(decl_237, type, esk96_3: (product_prod_a_a > $o) > (a > a > product_prod_a_a) > product_prod_a_a > a).
0.12/0.43	thf(decl_238, type, esk97_3: (product_prod_a_a > $o) > (a > a > product_prod_a_a) > product_prod_a_a > a).
0.12/0.43	thf(decl_239, type, esk98_2: (a > a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > a).
0.12/0.43	thf(decl_240, type, esk99_2: (a > a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > a).
0.12/0.43	thf(decl_241, type, esk100_3: product_prod_a_a > (a > a > product_prod_a_a) > (a > a > product_prod_a_a) > a).
0.12/0.43	thf(decl_242, type, esk101_3: product_prod_a_a > (a > a > product_prod_a_a) > (a > a > product_prod_a_a) > a).
0.12/0.43	thf(decl_243, type, esk102_3: ((product_prod_a_a > $o) > $o) > (a > a > product_prod_a_a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_244, type, esk103_3: ((product_prod_a_a > $o) > $o) > (a > a > product_prod_a_a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_245, type, esk104_2: (a > a > product_prod_a_a > $o) > (product_prod_a_a > product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_246, type, esk105_2: (a > a > product_prod_a_a > $o) > (product_prod_a_a > product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_247, type, esk106_3: product_prod_a_a > (a > a > product_prod_a_a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_248, type, esk107_3: product_prod_a_a > (a > a > product_prod_a_a > $o) > product_prod_a_a > a).
0.12/0.43	thf(decl_249, type, esk108_3: (a > a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > a).
0.12/0.43	thf(decl_250, type, esk109_3: (a > a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > a).
0.12/0.43	thf(decl_251, type, esk110_3: product_prod_a_a > (a > a > product_prod_a_a > $o) > (a > a > product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_252, type, esk111_3: product_prod_a_a > (a > a > product_prod_a_a > $o) > (a > a > product_prod_a_a > $o) > a).
0.12/0.43	thf(decl_253, type, esk112_3: product_prod_a_a > (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_254, type, esk113_2: (a > $o) > (a > $o) > a).
0.12/0.43	thf(decl_255, type, esk114_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_256, type, esk115_6: a > a > a > a > set_Pr1948701895od_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_257, type, esk116_6: a > a > a > a > set_Pr1948701895od_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_258, type, esk117_6: a > a > a > a > set_Pr1948701895od_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_259, type, esk118_6: a > a > a > a > set_Pr1948701895od_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_260, type, esk119_6: a > a > a > a > set_Pr1948701895od_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_261, type, esk120_6: a > a > a > a > set_Pr1948701895od_a_a > (a > a > $o) > a).
0.12/0.43	thf(decl_262, type, esk121_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_263, type, esk122_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_264, type, esk123_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_265, type, esk124_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_266, type, esk125_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_267, type, esk126_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_268, type, esk127_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_269, type, esk128_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_270, type, esk129_1: set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_271, type, esk130_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_272, type, esk131_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_273, type, esk132_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_274, type, esk133_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_275, type, esk134_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_276, type, esk135_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_277, type, esk136_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_278, type, esk137_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_279, type, esk138_4: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_280, type, esk139_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_281, type, esk140_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_282, type, esk141_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_283, type, esk142_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_284, type, esk143_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_285, type, esk144_3: product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_286, type, esk145_3: (set_Product_prod_a_a > $o) > (a > a > set_Product_prod_a_a) > product_prod_a_a > a).
0.12/0.43	thf(decl_287, type, esk146_3: (set_Product_prod_a_a > $o) > (a > a > set_Product_prod_a_a) > product_prod_a_a > a).
0.12/0.43	thf(decl_288, type, esk147_2: (a > a > set_Product_prod_a_a) > (product_prod_a_a > set_Product_prod_a_a) > a).
0.12/0.43	thf(decl_289, type, esk148_2: (a > a > set_Product_prod_a_a) > (product_prod_a_a > set_Product_prod_a_a) > a).
0.12/0.43	thf(decl_290, type, esk149_3: product_prod_a_a > product_prod_a_a > (a > a > set_Product_prod_a_a) > a).
0.12/0.43	thf(decl_291, type, esk150_3: product_prod_a_a > product_prod_a_a > (a > a > set_Product_prod_a_a) > a).
0.12/0.43	thf(decl_292, type, esk151_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > product_prod_a_a > a).
0.12/0.43	thf(decl_293, type, esk152_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > product_prod_a_a > a).
0.12/0.43	thf(decl_294, type, esk153_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > (a > a > set_Product_prod_a_a) > a).
0.12/0.43	thf(decl_295, type, esk154_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > (a > a > set_Product_prod_a_a) > a).
0.12/0.43	thf(decl_296, type, esk155_2: (produc1572603623od_a_a > $o) > (produc1572603623od_a_a > $o) > produc1572603623od_a_a).
0.12/0.43	thf(decl_297, type, esk156_2: produc1572603623od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_298, type, esk157_2: produc1572603623od_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_299, type, esk158_2: (product_prod_a_a > product_prod_a_a > $o) > produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_300, type, esk159_2: (product_prod_a_a > product_prod_a_a > $o) > produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_301, type, esk160_3: ($o > $o) > (product_prod_a_a > product_prod_a_a > $o) > produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_302, type, esk161_3: ($o > $o) > (product_prod_a_a > product_prod_a_a > $o) > produc1572603623od_a_a > product_prod_a_a).
0.12/0.43	thf(decl_303, type, esk162_2: (product_prod_a_a > product_prod_a_a > $o) > (produc1572603623od_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_304, type, esk163_2: (product_prod_a_a > product_prod_a_a > $o) > (produc1572603623od_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_305, type, esk164_3: produc1572603623od_a_a > (product_prod_a_a > product_prod_a_a > $o) > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_306, type, esk165_3: produc1572603623od_a_a > (product_prod_a_a > product_prod_a_a > $o) > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_307, type, esk166_3: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_308, type, esk167_3: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_309, type, esk168_3: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_310, type, esk169_3: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_311, type, esk170_3: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_312, type, esk171_3: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_313, type, esk172_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_314, type, esk173_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_315, type, esk174_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_316, type, esk175_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_317, type, esk176_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_318, type, esk177_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_319, type, esk178_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_320, type, esk179_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_321, type, esk180_3: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > product_prod_a_a).
0.12/0.43	thf(decl_322, type, esk181_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_323, type, esk182_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_324, type, esk183_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_325, type, esk184_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_326, type, esk185_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_327, type, esk186_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_328, type, esk187_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_329, type, esk188_4: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a).
0.12/0.43	thf(decl_330, type, esk189_6: (product_prod_a_a > product_prod_a_a > $o) > a > a > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_331, type, esk190_6: (product_prod_a_a > product_prod_a_a > $o) > a > a > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_332, type, esk191_6: (product_prod_a_a > product_prod_a_a > $o) > a > a > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_333, type, esk192_6: (product_prod_a_a > product_prod_a_a > $o) > a > a > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_334, type, esk193_6: (product_prod_a_a > product_prod_a_a > $o) > a > a > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_335, type, esk194_6: (product_prod_a_a > product_prod_a_a > $o) > a > a > a > a > (a > a > $o) > a).
0.12/0.43	thf(decl_336, type, epred1_0: a > a > $o).
0.12/0.43	thf(decl_337, type, epred2_1: set_Product_prod_a_a > a > a > $o).
0.12/0.43	thf(decl_338, type, esk195_1: set_a > a > set_a).
0.12/0.43	thf(decl_339, type, epred3_1: (product_prod_a_a > $o) > a > a > $o).
0.12/0.43	thf(decl_340, type, epred4_1: set_Product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_341, type, epred5_2: (product_prod_a_a > $o) > set_Product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_342, type, epred6_2: (product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a > $o).
0.12/0.43	thf(decl_343, type, epred7_1: (a > a > $o) > a > a > $o).
0.12/0.43	thf(decl_344, type, epred8_2: (a > a > $o) > $o > a > a > $o).
0.12/0.43	thf(decl_345, type, epred9_1: (a > a > $o) > a > a > $o).
0.12/0.43	thf(decl_346, type, epred10_2: (a > a > $o) > ($o > $o) > a > a > $o).
0.12/0.43	thf(decl_347, type, esk196_2: (a > a > $o) > ($o > product_prod_a_a) > a > a > product_prod_a_a).
0.12/0.43	thf(decl_348, type, epred11_2: (a > a > product_prod_a_a) > (product_prod_a_a > $o) > a > a > $o).
0.12/0.43	thf(decl_349, type, epred12_2: (a > a > $o) > ($o > product_prod_a_a > $o) > a > a > product_prod_a_a > $o).
0.12/0.43	thf(decl_350, type, epred13_2: (a > a > product_prod_a_a > $o) > ((product_prod_a_a > $o) > $o) > a > a > $o).
0.12/0.43	thf(decl_351, type, epred14_0: a > a > $o).
0.12/0.43	thf(decl_352, type, epred15_2: product_prod_a_a > (a > a > product_prod_a_a > $o) > a > a > $o).
0.12/0.43	thf(decl_353, type, esk197_0: a > a > product_prod_a_a).
0.12/0.43	thf(decl_354, type, epred16_2: (a > $o) > (a > $o) > a > a > $o).
0.12/0.43	thf(decl_355, type, epred17_2: (a > a > $o) > (a > $o) > a > a > $o).
0.12/0.43	thf(decl_356, type, esk198_1: (a > a > $o) > a > set_a).
0.12/0.43	thf(decl_357, type, esk199_1: (product_prod_a_a > product_prod_a_a) > a > a > product_prod_a_a).
0.12/0.43	thf(decl_358, type, esk200_2: (a > a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > a > a > product_prod_a_a).
0.12/0.43	thf(decl_359, type, esk201_2: (a > a > set_Product_prod_a_a) > (set_Product_prod_a_a > product_prod_a_a) > a > a > product_prod_a_a).
0.12/0.43	thf(decl_360, type, esk202_1: (a > a > product_prod_a_a) > a > a > product_prod_a_a).
0.12/0.43	thf(decl_361, type, epred18_1: (product_prod_a_a > product_prod_a_a > $o) > a > a > product_prod_a_a > $o).
0.12/0.43	thf(decl_362, type, epred19_1: (a > a > product_prod_a_a > $o) > a > a > product_prod_a_a > $o).
0.12/0.43	thf(decl_363, type, epred20_3: (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a > $o).
0.12/0.43	thf(decl_364, type, epred21_1: set_a > a > $o).
0.12/0.43	thf(decl_365, type, esk203_1: (product_prod_a_a > set_Product_prod_a_a) > a > a > set_Product_prod_a_a).
0.12/0.43	thf(decl_366, type, esk204_2: (a > a > $o) > ($o > set_Product_prod_a_a) > a > a > set_Product_prod_a_a).
0.12/0.43	thf(decl_367, type, epred22_2: (a > a > set_Product_prod_a_a) > (set_Product_prod_a_a > $o) > a > a > $o).
0.12/0.43	thf(decl_368, type, esk205_1: (a > a > set_Product_prod_a_a) > a > a > set_Product_prod_a_a).
0.12/0.43	thf(decl_369, type, epred23_1: (a > a > $o) > a > a > $o).
0.12/0.43	thf(decl_370, type, epred24_1: set_Pr1948701895od_a_a > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_371, type, epred25_1: set_Pr1948701895od_a_a > produc1572603623od_a_a > $o).
0.12/0.43	thf(decl_372, type, epred26_2: (product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_373, type, esk206_1: (product_prod_a_a > $o) > product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_374, type, epred27_2: (product_prod_a_a > product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_375, type, esk207_1: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > set_Product_prod_a_a).
0.12/0.43	thf(decl_376, type, epred28_1: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_377, type, epred29_2: (product_prod_a_a > product_prod_a_a > $o) > $o > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_378, type, epred30_1: (product_prod_a_a > product_prod_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_379, type, epred31_1: (produc1572603623od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_380, type, epred32_2: (product_prod_a_a > product_prod_a_a > $o) > ($o > $o) > product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(decl_381, type, epred33_0: product_prod_a_a > product_prod_a_a > $o).
0.12/0.43	thf(conj_1, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ b @ y) @ (collec645855634od_a_a @ (produc1833107820_a_a_o @ (^[X81:a, X80:a]:(((p @ X80)&(member449909584od_a_a @ (product_Pair_a_a @ X80 @ X81) @ r))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)).
0.12/0.43	thf(fact_113_mem__Collect__eq, axiom, ![X2:product_prod_a_a, X342:product_prod_a_a > $o]:(((member449909584od_a_a @ X2 @ (collec645855634od_a_a @ X342))<=>(X342 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_113_mem__Collect__eq)).
0.12/0.43	thf(conj_2, conjecture, ((p @ y)&(member449909584od_a_a @ (product_Pair_a_a @ y @ b) @ (transitive_trancl_a @ r))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_2)).
0.12/0.43	thf(fact_8_case__prod__conv, axiom, ![X24:a > a > $o, X25:a, X26:a]:(((produc1833107820_a_a_o @ X24 @ (product_Pair_a_a @ X25 @ X26))<=>(X24 @ X25 @ X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_8_case__prod__conv)).
0.12/0.43	thf(fact_78_r__into__trancl_H, axiom, ![X244:product_prod_a_a, X245:set_Product_prod_a_a]:(((member449909584od_a_a @ X244 @ X245)=>(member449909584od_a_a @ X244 @ (transitive_trancl_a @ X245)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_78_r__into__trancl_H)).
0.12/0.43	thf(c_0_5, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ b @ y) @ (collec645855634od_a_a @ (produc1833107820_a_a_o @ (^[Z0:a, Z1:a]:(((p @ Z1)&(member449909584od_a_a @ (product_Pair_a_a @ Z1 @ Z0) @ r))))))), inference(fof_simplification,[status(thm)],[conj_1])).
0.12/0.43	thf(c_0_6, plain, ![X2569:a, X2568:a]:(((epred1_0 @ X2568 @ X2569)<=>((p @ X2569)&(member449909584od_a_a @ (product_Pair_a_a @ X2569 @ X2568) @ r)))), introduced(definition)).
0.12/0.43	thf(c_0_7, plain, ![X1928:product_prod_a_a, X1929:product_prod_a_a > $o]:(((~(member449909584od_a_a @ X1928 @ (collec645855634od_a_a @ X1929))|(X1929 @ X1928))&(~(X1929 @ X1928)|(member449909584od_a_a @ X1928 @ (collec645855634od_a_a @ X1929))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_113_mem__Collect__eq])])).
0.12/0.43	thf(c_0_8, hypothesis, (((member449909584od_a_a @ (product_Pair_a_a @ b @ y) @ (collec645855634od_a_a @ (produc1833107820_a_a_o @ epred1_0))))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_5]), c_0_6])).
0.12/0.43	thf(c_0_9, negated_conjecture, ~(((p @ y)&(member449909584od_a_a @ (product_Pair_a_a @ y @ b) @ (transitive_trancl_a @ r)))), inference(assume_negation,[status(cth)],[conj_2])).
0.12/0.43	thf(c_0_10, plain, ![X1864:a > a > $o, X1865:a, X1866:a]:(((~(produc1833107820_a_a_o @ X1864 @ (product_Pair_a_a @ X1865 @ X1866))|(X1864 @ X1865 @ X1866))&(~(X1864 @ X1865 @ X1866)|(produc1833107820_a_a_o @ X1864 @ (product_Pair_a_a @ X1865 @ X1866))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_case__prod__conv])])).
0.12/0.43	thf(c_0_11, plain, ![X2:product_prod_a_a, X64:product_prod_a_a > $o]:(((X64 @ X2)|~((member449909584od_a_a @ X2 @ (collec645855634od_a_a @ X64))))), inference(split_conjunct,[status(thm)],[c_0_7])).
0.12/0.43	thf(c_0_12, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ b @ y) @ (collec645855634od_a_a @ (produc1833107820_a_a_o @ epred1_0))), inference(cn,[status(thm)],[c_0_8])).
0.12/0.43	thf(c_0_13, negated_conjecture, (~(p @ y)|~(member449909584od_a_a @ (product_Pair_a_a @ y @ b) @ (transitive_trancl_a @ r))), inference(fof_nnf,[status(thm)],[c_0_9])).
0.12/0.43	thf(c_0_14, plain, ![X1764:product_prod_a_a, X1765:set_Product_prod_a_a]:((~(member449909584od_a_a @ X1764 @ X1765)|(member449909584od_a_a @ X1764 @ (transitive_trancl_a @ X1765)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_78_r__into__trancl_H])])).
0.12/0.43	thf(c_0_15, plain, ![X2720:a, X2721:a]:(((((p @ X2720)|~(epred1_0 @ X2721 @ X2720))&((member449909584od_a_a @ (product_Pair_a_a @ X2720 @ X2721) @ r)|~(epred1_0 @ X2721 @ X2720)))&(~(p @ X2720)|~(member449909584od_a_a @ (product_Pair_a_a @ X2720 @ X2721) @ r)|(epred1_0 @ X2721 @ X2720)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])).
0.12/0.43	thf(c_0_16, plain, ![X4:a > a > $o, X5:a, X6:a]:(((X4 @ X5 @ X6)|~((produc1833107820_a_a_o @ X4 @ (product_Pair_a_a @ X5 @ X6))))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.12/0.43	thf(c_0_17, hypothesis, (produc1833107820_a_a_o @ epred1_0 @ (product_Pair_a_a @ b @ y)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
0.12/0.43	thf(c_0_18, negated_conjecture, (~((p @ y))|~((member449909584od_a_a @ (product_Pair_a_a @ y @ b) @ (transitive_trancl_a @ r)))), inference(split_conjunct,[status(thm)],[c_0_13])).
0.12/0.43	thf(c_0_19, plain, ![X2:product_prod_a_a, X108:set_Product_prod_a_a]:(((member449909584od_a_a @ X2 @ (transitive_trancl_a @ X108))|~((member449909584od_a_a @ X2 @ X108)))), inference(split_conjunct,[status(thm)],[c_0_14])).
0.12/0.43	thf(c_0_20, plain, ![X6:a, X5:a]:(((p @ X5)|~((epred1_0 @ X6 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.12/0.43	thf(c_0_21, hypothesis, (epred1_0 @ b @ y), inference(spm,[status(thm)],[c_0_16, c_0_17])).
0.12/0.43	thf(c_0_22, negated_conjecture, (~((member449909584od_a_a @ (product_Pair_a_a @ y @ b) @ r))|~((p @ y))), inference(spm,[status(thm)],[c_0_18, c_0_19])).
0.12/0.43	thf(c_0_23, plain, (p @ y), inference(spm,[status(thm)],[c_0_20, c_0_21])).
0.12/0.43	thf(c_0_24, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ y @ b) @ r)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
0.12/0.43	thf(c_0_25, plain, ![X6:a, X5:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X5 @ X6) @ r)|~((epred1_0 @ X6 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.12/0.43	thf(c_0_26, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_21])]), ['proof']).
0.12/0.43	# SZS output end CNFRefutation
0.12/0.43	# Parsed axioms                        : 496
0.12/0.43	# Removed by relevancy pruning/SinE    : 290
0.12/0.43	# Initial clauses                      : 656
0.12/0.43	# Removed in clause preprocessing      : 52
0.12/0.43	# Initial clauses in saturation        : 604
0.12/0.43	# Processed clauses                    : 731
0.12/0.43	# ...of these trivial                  : 13
0.12/0.43	# ...subsumed                          : 50
0.12/0.43	# ...remaining for further processing  : 668
0.12/0.43	# Other redundant clauses eliminated   : 67
0.12/0.43	# Clauses deleted for lack of memory   : 0
0.12/0.43	# Backward-subsumed                    : 0
0.12/0.43	# Backward-rewritten                   : 6
0.12/0.43	# Generated clauses                    : 161
0.12/0.43	# ...of the previous two non-redundant : 110
0.12/0.43	# ...aggressively subsumed             : 0
0.12/0.43	# Contextual simplify-reflections      : 0
0.12/0.43	# Paramodulations                      : 82
0.12/0.43	# Factorizations                       : 0
0.12/0.43	# NegExts                              : 0
0.12/0.43	# Equation resolutions                 : 71
0.12/0.43	# Propositional unsat checks           : 0
0.12/0.43	#    Propositional check models        : 0
0.12/0.43	#    Propositional check unsatisfiable : 0
0.12/0.43	#    Propositional clauses             : 0
0.12/0.43	#    Propositional clauses after purity: 0
0.12/0.43	#    Propositional unsat core size     : 0
0.12/0.43	#    Propositional preprocessing time  : 0.000
0.12/0.43	#    Propositional encoding time       : 0.000
0.12/0.43	#    Propositional solver time         : 0.000
0.12/0.43	#    Success case prop preproc time    : 0.000
0.12/0.43	#    Success case prop encoding time   : 0.000
0.12/0.43	#    Success case prop solver time     : 0.000
0.12/0.43	# Current number of processed clauses  : 89
0.12/0.43	#    Positive orientable unit clauses  : 41
0.12/0.43	#    Positive unorientable unit clauses: 0
0.12/0.43	#    Negative unit clauses             : 8
0.12/0.43	#    Non-unit-clauses                  : 40
0.12/0.43	# Current number of unprocessed clauses: 510
0.12/0.43	# ...number of literals in the above   : 1457
0.12/0.43	# Current number of archived formulas  : 0
0.12/0.43	# Current number of archived clauses   : 548
0.12/0.43	# Clause-clause subsumption calls (NU) : 67913
0.12/0.43	# Rec. Clause-clause subsumption calls : 41973
0.12/0.43	# Non-unit clause-clause subsumptions  : 50
0.12/0.43	# Unit Clause-clause subsumption calls : 852
0.12/0.43	# Rewrite failures with RHS unbound    : 0
0.12/0.43	# BW rewrite match attempts            : 10
0.12/0.43	# BW rewrite match successes           : 5
0.12/0.43	# Condensation attempts                : 731
0.12/0.43	# Condensation successes               : 0
0.12/0.43	# Termbank termtop insertions          : 63563
0.12/0.43	
0.12/0.43	# -------------------------------------------------
0.12/0.43	# User time                : 0.063 s
0.12/0.43	# System time              : 0.012 s
0.12/0.43	# Total time               : 0.075 s
0.12/0.43	# Maximum resident set size: 5748 pages
0.12/0.43	
0.12/0.43	# -------------------------------------------------
0.12/0.43	# User time                : 0.072 s
0.12/0.43	# System time              : 0.015 s
0.12/0.43	# Total time               : 0.088 s
0.12/0.43	# Maximum resident set size: 2920 pages
0.12/0.43	EOF