0.04/0.12	% Problem    : SLH005^1 : TPTP v7.5.0. Released v7.5.0.
0.14/0.14	% Command    : run_E %s %d THM
0.15/0.35	% Computer : n024.cluster.edu
0.15/0.35	% Model    : x86_64 x86_64
0.15/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.35	% Memory   : 8042.1875MB
0.15/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.35	% CPULimit   : 30
0.15/0.35	% WCLimit    : 30
0.15/0.35	% DateTime   : Tue Aug  9 02:22:07 EDT 2022
0.15/0.35	% CPUTime    : 
0.21/0.48	The problem SPC is TH0_THM_EQU_NAR
0.21/0.48	Running higher-order on 1 cores theorem proving
0.21/0.48	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/benchmark/theBenchmark.p
0.21/0.48	# Version: 3.0pre003-ho
0.21/0.54	# Preprocessing class: HSLMSMSMSSMNHFA.
0.21/0.54	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.21/0.54	# Starting full_lambda_6 with 30s (1) cores
0.21/0.54	# full_lambda_6 with pid 634 completed with status 0
0.21/0.54	# Result found by full_lambda_6
0.21/0.54	# Preprocessing class: HSLMSMSMSSMNHFA.
0.21/0.54	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.21/0.54	# Starting full_lambda_6 with 30s (1) cores
0.21/0.54	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
0.21/0.54	# ...ProofStateSinE()=208/522
0.21/0.54	# Search class: HGUSM-FSLM32-MHFFFMBN
0.21/0.54	# partial match(1): HGUSM-FSLM32-MHFFFSBN
0.21/0.54	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.21/0.54	# Starting lpo5_fix with 17s (1) cores
0.21/0.54	# lpo5_fix with pid 635 completed with status 0
0.21/0.54	# Result found by lpo5_fix
0.21/0.54	# Preprocessing class: HSLMSMSMSSMNHFA.
0.21/0.54	# Scheduled 1 strats onto 1 cores with 30 seconds (30 total)
0.21/0.54	# Starting full_lambda_6 with 30s (1) cores
0.21/0.54	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
0.21/0.54	# ...ProofStateSinE()=208/522
0.21/0.54	# Search class: HGUSM-FSLM32-MHFFFMBN
0.21/0.54	# partial match(1): HGUSM-FSLM32-MHFFFSBN
0.21/0.54	# Scheduled 5 strats onto 1 cores with 30 seconds (30 total)
0.21/0.54	# Starting lpo5_fix with 17s (1) cores
0.21/0.54	# Preprocessing time       : 0.006 s
0.21/0.54	
0.21/0.54	# Proof found!
0.21/0.54	# SZS status Theorem
0.21/0.54	# SZS output start CNFRefutation
0.21/0.54	thf(decl_22, type, bNF_Grp_a_b: set_a > (a > b) > a > b > $o).
0.21/0.54	thf(decl_23, type, bNF_Grp_b_a: set_b > (b > a) > b > a > $o).
0.21/0.54	thf(decl_24, type, bNF_cs2108013681od_b_a: set_Product_prod_a_a > (product_prod_a_b > b) > (product_prod_b_a > b) > (product_prod_a_a > product_prod_a_b) > (product_prod_a_a > product_prod_b_a) > $o).
0.21/0.54	thf(decl_25, type, bNF_cs1533911474od_a_a: set_Product_prod_b_a > (product_prod_b_a > a) > (product_prod_a_a > a) > (product_prod_b_a > product_prod_b_a) > (product_prod_b_a > product_prod_a_a) > $o).
0.21/0.54	thf(decl_26, type, bNF_cs1668530481od_b_a: set_Product_prod_b_a > (product_prod_b_b > b) > (product_prod_b_a > b) > (product_prod_b_a > product_prod_b_b) > (product_prod_b_a > product_prod_b_a) > $o).
0.21/0.54	thf(decl_27, type, bNF_cs1560095346od_a_b: set_Product_prod_b_b > (product_prod_b_a > a) > (product_prod_a_b > a) > (product_prod_b_b > product_prod_b_a) > (product_prod_b_b > product_prod_a_b) > $o).
0.21/0.54	thf(decl_28, type, bNF_fstOp_a_b_a: (a > b > $o) > (b > a > $o) > product_prod_a_a > product_prod_a_b).
0.21/0.54	thf(decl_29, type, bNF_fstOp_a_b_b: (a > b > $o) > (b > b > $o) > product_prod_a_b > product_prod_a_b).
0.21/0.54	thf(decl_30, type, bNF_fstOp_b_a_a: (b > a > $o) > (a > a > $o) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_31, type, bNF_fstOp_b_a_b: (b > a > $o) > (a > b > $o) > product_prod_b_b > product_prod_b_a).
0.21/0.54	thf(decl_32, type, bNF_fstOp_b_b_a: (b > b > $o) > (b > a > $o) > product_prod_b_a > product_prod_b_b).
0.21/0.54	thf(decl_33, type, bNF_pi719018651_a_a_b: (a > a > $o) > (a > b > $o) > a > b > a).
0.21/0.54	thf(decl_34, type, bNF_pi1546788058_a_b_b: (a > b > $o) > (b > b > $o) > a > b > b).
0.21/0.54	thf(decl_35, type, bNF_pi1586685467_b_a_a: (b > a > $o) > (a > a > $o) > b > a > a).
0.21/0.54	thf(decl_36, type, bNF_pi266971226_b_b_a: (b > b > $o) > (b > a > $o) > b > a > b).
0.21/0.54	thf(decl_37, type, bNF_sndOp_a_a_b: (a > a > $o) > (a > b > $o) > product_prod_a_b > product_prod_a_b).
0.21/0.54	thf(decl_38, type, bNF_sndOp_a_b_a: (a > b > $o) > (b > a > $o) > product_prod_a_a > product_prod_b_a).
0.21/0.54	thf(decl_39, type, bNF_sndOp_b_a_a: (b > a > $o) > (a > a > $o) > product_prod_b_a > product_prod_a_a).
0.21/0.54	thf(decl_40, type, bNF_sndOp_b_a_b: (b > a > $o) > (a > b > $o) > product_prod_b_b > product_prod_a_b).
0.21/0.54	thf(decl_41, type, bNF_sndOp_b_b_a: (b > b > $o) > (b > a > $o) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_42, type, bNF_Gr1755091791_b_a_b: set_Product_prod_a_b > (product_prod_a_b > a) > (product_prod_a_b > b) > set_Product_prod_a_b).
0.21/0.54	thf(decl_43, type, bNF_Gr435377549_b_b_a: set_Product_prod_a_b > (product_prod_a_b > b) > (product_prod_a_b > a) > set_Product_prod_b_a).
0.21/0.54	thf(decl_44, type, bNF_Gr1320013581_a_a_b: set_Product_prod_b_a > (product_prod_b_a > a) > (product_prod_b_a > b) > set_Product_prod_a_b).
0.21/0.54	thf(decl_45, type, bNF_Gr299339_a_b_a: set_Product_prod_b_a > (product_prod_b_a > b) > (product_prod_b_a > a) > set_Product_prod_b_a).
0.21/0.54	thf(decl_46, type, comp_P1303313388od_b_a: (product_prod_a_a > a) > (product_prod_b_a > product_prod_a_a) > product_prod_b_a > a).
0.21/0.54	thf(decl_47, type, comp_P668891951od_a_b: (product_prod_a_b > a) > (product_prod_a_b > product_prod_a_b) > product_prod_a_b > a).
0.21/0.54	thf(decl_48, type, comp_P1488399853od_b_a: (product_prod_a_b > a) > (product_prod_b_a > product_prod_a_b) > product_prod_b_a > a).
0.21/0.54	thf(decl_49, type, comp_P1938138734od_a_b: (product_prod_a_b > b) > (product_prod_a_b > product_prod_a_b) > product_prod_a_b > b).
0.21/0.54	thf(decl_50, type, comp_P610162988od_b_a: (product_prod_a_b > b) > (product_prod_b_a > product_prod_a_b) > product_prod_b_a > b).
0.21/0.54	thf(decl_51, type, comp_P91192643od_b_a: (product_prod_b_a > product_prod_b_a) > (product_prod_b_a > product_prod_b_a) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_52, type, comp_P2006403309od_a_b: (product_prod_b_a > a) > (product_prod_a_b > product_prod_b_a) > product_prod_a_b > a).
0.21/0.54	thf(decl_53, type, comp_P678427563od_b_a: (product_prod_b_a > a) > (product_prod_b_a > product_prod_b_a) > product_prod_b_a > a).
0.21/0.54	thf(decl_54, type, comp_P8141891_a_a_a: (product_prod_b_a > a) > (a > product_prod_b_a) > a > a).
0.21/0.54	thf(decl_55, type, comp_P8141892_a_a_b: (product_prod_b_a > a) > (b > product_prod_b_a) > b > a).
0.21/0.54	thf(decl_56, type, comp_P1128166444od_a_b: (product_prod_b_a > b) > (product_prod_a_b > product_prod_b_a) > product_prod_a_b > b).
0.21/0.54	thf(decl_57, type, comp_P1947674346od_b_a: (product_prod_b_a > b) > (product_prod_b_a > product_prod_b_a) > product_prod_b_a > b).
0.21/0.54	thf(decl_58, type, comp_a1878561561od_b_a: (a > product_prod_a_b) > (product_prod_b_a > a) > product_prod_b_a > product_prod_a_b).
0.21/0.54	thf(decl_59, type, comp_a1852557085od_a_b: (a > product_prod_b_a) > (product_prod_a_b > a) > product_prod_a_b > product_prod_b_a).
0.21/0.54	thf(decl_60, type, comp_a524581339od_b_a: (a > product_prod_b_a) > (product_prod_b_a > a) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_61, type, comp_a1768201605od_a_b: (a > a) > (product_prod_a_b > a) > product_prod_a_b > a).
0.21/0.54	thf(decl_62, type, comp_a440225859od_b_a: (a > a) > (product_prod_b_a > a) > product_prod_b_a > a).
0.21/0.54	thf(decl_63, type, comp_a_a_a: (a > a) > (a > a) > a > a).
0.21/0.54	thf(decl_64, type, comp_a_a_b: (a > a) > (b > a) > b > a).
0.21/0.54	thf(decl_65, type, comp_a889964740od_a_b: (a > b) > (product_prod_a_b > a) > product_prod_a_b > b).
0.21/0.54	thf(decl_66, type, comp_a1709472642od_b_a: (a > b) > (product_prod_b_a > a) > product_prod_b_a > b).
0.21/0.54	thf(decl_67, type, comp_b1299762330od_b_a: (b > product_prod_a_b) > (product_prod_b_a > b) > product_prod_b_a > product_prod_a_b).
0.21/0.54	thf(decl_68, type, comp_b1273757854od_a_b: (b > product_prod_b_a) > (product_prod_a_b > b) > product_prod_a_b > product_prod_b_a).
0.21/0.54	thf(decl_69, type, comp_b2093265756od_b_a: (b > product_prod_b_a) > (product_prod_b_a > b) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_70, type, comp_b1282932742od_a_b: (b > a) > (product_prod_a_b > b) > product_prod_a_b > a).
0.21/0.54	thf(decl_71, type, comp_b2102440644od_b_a: (b > a) > (product_prod_b_a > b) > product_prod_b_a > a).
0.21/0.54	thf(decl_72, type, comp_b_a_a: (b > a) > (a > b) > a > a).
0.21/0.54	thf(decl_73, type, comp_b_a_b: (b > a) > (b > b) > b > a).
0.21/0.54	thf(decl_74, type, comp_b404695877od_a_b: (b > b) > (product_prod_a_b > b) > product_prod_a_b > b).
0.21/0.54	thf(decl_75, type, comp_b1224203779od_b_a: (b > b) > (product_prod_b_a > b) > product_prod_b_a > b).
0.21/0.54	thf(decl_76, type, comp_b_b_b: (b > b) > (b > b) > b > b).
0.21/0.54	thf(decl_77, type, id_Product_prod_b_a: product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_78, type, ord_le816409512od_a_b: set_Product_prod_a_b > set_Product_prod_a_b > $o).
0.21/0.54	thf(decl_79, type, ord_le2044239718od_b_a: set_Product_prod_b_a > set_Product_prod_b_a > $o).
0.21/0.54	thf(decl_80, type, top_to1468933889od_a_b: set_Pr2126961073od_a_b).
0.21/0.54	thf(decl_81, type, top_to1944279999od_b_a: set_Pr454823535od_b_a).
0.21/0.54	thf(decl_82, type, top_to398455383od_a_a: set_Product_prod_a_a).
0.21/0.54	thf(decl_83, type, top_to1538019672od_a_b: set_Product_prod_a_b).
0.21/0.54	thf(decl_84, type, top_to618366230od_b_a: set_Product_prod_b_a).
0.21/0.54	thf(decl_85, type, top_top_set_a: set_a).
0.21/0.54	thf(decl_86, type, top_top_set_b: set_b).
0.21/0.54	thf(decl_87, type, product_Pair_a_a: a > a > product_prod_a_a).
0.21/0.54	thf(decl_88, type, product_Pair_a_b: a > b > product_prod_a_b).
0.21/0.54	thf(decl_89, type, product_Pair_b_a: b > a > product_prod_b_a).
0.21/0.54	thf(decl_90, type, product_Pair_b_b: b > b > product_prod_b_b).
0.21/0.54	thf(decl_91, type, product_apfst_a_a_b: (a > a) > product_prod_a_b > product_prod_a_b).
0.21/0.54	thf(decl_92, type, product_apfst_a_b_a: (a > b) > product_prod_a_a > product_prod_b_a).
0.21/0.54	thf(decl_93, type, product_apfst_a_b_b: (a > b) > product_prod_a_b > product_prod_b_b).
0.21/0.54	thf(decl_94, type, product_apfst_b_a_a: (b > a) > product_prod_b_a > product_prod_a_a).
0.21/0.54	thf(decl_95, type, product_apfst_b_a_b: (b > a) > product_prod_b_b > product_prod_a_b).
0.21/0.54	thf(decl_96, type, product_apfst_b_b_a: (b > b) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_97, type, produc1529782377_a_a_b: (product_prod_b_a > a) > produc1263321806od_b_a > product_prod_b_a).
0.21/0.54	thf(decl_98, type, product_apsnd_a_a_b: (a > a) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_99, type, product_apsnd_a_b_a: (a > b) > product_prod_a_a > product_prod_a_b).
0.21/0.54	thf(decl_100, type, product_apsnd_a_b_b: (a > b) > product_prod_b_a > product_prod_b_b).
0.21/0.54	thf(decl_101, type, product_apsnd_b_a_a: (b > a) > product_prod_a_b > product_prod_a_a).
0.21/0.54	thf(decl_102, type, product_apsnd_b_a_b: (b > a) > product_prod_b_b > product_prod_b_a).
0.21/0.54	thf(decl_103, type, product_apsnd_b_b_a: (b > b) > product_prod_a_b > product_prod_a_b).
0.21/0.54	thf(decl_104, type, product_curry_a_b_o: (product_prod_a_b > $o) > a > b > $o).
0.21/0.54	thf(decl_105, type, product_curry_b_a_o: (product_prod_b_a > $o) > b > a > $o).
0.21/0.54	thf(decl_106, type, produc920551516od_b_a: (product_prod_b_a > product_prod_b_a) > b > a > product_prod_b_a).
0.21/0.54	thf(decl_107, type, produc2078015255_b_a_o: (b > a > $o) > product_prod_b_a > $o).
0.21/0.54	thf(decl_108, type, produc714714213od_b_a: (b > a > product_prod_b_a) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_109, type, produc1268352052od_b_a: (a > a) > (product_prod_a_b > product_prod_b_a) > produc913728465od_a_b > produc2141558671od_b_a).
0.21/0.54	thf(decl_110, type, produc1242347576od_a_b: (a > a) > (product_prod_b_a > product_prod_a_b) > produc2141558671od_b_a > produc913728465od_a_b).
0.21/0.54	thf(decl_111, type, produc2061855478od_b_a: (a > a) > (product_prod_b_a > product_prod_b_a) > produc2141558671od_b_a > produc2141558671od_b_a).
0.21/0.54	thf(decl_112, type, produc1760112270_b_a_a: (a > a) > (product_prod_b_a > a) > produc2141558671od_b_a > product_prod_a_a).
0.21/0.54	thf(decl_113, type, produc1760112271_b_a_b: (a > a) > (product_prod_b_a > b) > produc2141558671od_b_a > product_prod_a_b).
0.21/0.54	thf(decl_114, type, produc957879390od_b_a: (a > a) > (a > product_prod_b_a) > product_prod_a_a > produc2141558671od_b_a).
0.21/0.54	thf(decl_115, type, produc700022774_a_a_a: (a > a) > (a > a) > product_prod_a_a > product_prod_a_a).
0.21/0.54	thf(decl_116, type, produc1527792182_a_b_b: (a > a) > (b > b) > product_prod_a_b > product_prod_a_b).
0.21/0.54	thf(decl_117, type, produc247975350_b_b_a: (a > b) > (b > a) > product_prod_a_b > product_prod_b_a).
0.21/0.54	thf(decl_118, type, produc166893238_a_a_b: (b > a) > (a > b) > product_prod_b_a > product_prod_a_b).
0.21/0.54	thf(decl_119, type, produc1034560054_b_a_a: (b > b) > (a > a) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_120, type, produc273986347_a_b_o: (a > b > $o) > product_prod_a_b > $o).
0.21/0.54	thf(decl_121, type, produc87415579od_a_b: (a > b > set_Product_prod_a_b) > product_prod_a_b > set_Product_prod_a_b).
0.21/0.54	thf(decl_122, type, produc1315245785od_b_a: (a > b > set_Product_prod_b_a) > product_prod_a_b > set_Product_prod_b_a).
0.21/0.54	thf(decl_123, type, produc1014660461_b_a_o: (b > a > $o) > product_prod_b_a > $o).
0.21/0.54	thf(decl_124, type, produc1053202875od_b_a: (b > a > product_prod_b_a) > product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_125, type, produc1150552669od_a_b: (b > a > set_Product_prod_a_b) > product_prod_b_a > set_Product_prod_a_b).
0.21/0.54	thf(decl_126, type, produc230899227od_b_a: (b > a > set_Product_prod_b_a) > product_prod_b_a > set_Product_prod_b_a).
0.21/0.54	thf(decl_127, type, product_fst_a_a: product_prod_a_a > a).
0.21/0.54	thf(decl_128, type, product_fst_a_b: product_prod_a_b > a).
0.21/0.54	thf(decl_129, type, product_fst_b_a: product_prod_b_a > b).
0.21/0.54	thf(decl_130, type, product_snd_a_b: product_prod_a_b > b).
0.21/0.54	thf(decl_131, type, product_snd_b_a: product_prod_b_a > a).
0.21/0.54	thf(decl_132, type, product_snd_b_b: product_prod_b_b > b).
0.21/0.54	thf(decl_133, type, product_swap_a_b: product_prod_a_b > product_prod_b_a).
0.21/0.54	thf(decl_134, type, product_swap_b_a: product_prod_b_a > product_prod_a_b).
0.21/0.54	thf(decl_135, type, relcompp_a_a_b: (a > a > $o) > (a > b > $o) > a > b > $o).
0.21/0.54	thf(decl_136, type, relcompp_a_b_a: (a > b > $o) > (b > a > $o) > a > a > $o).
0.21/0.54	thf(decl_137, type, relcompp_a_b_b: (a > b > $o) > (b > b > $o) > a > b > $o).
0.21/0.54	thf(decl_138, type, relcompp_b_a_a: (b > a > $o) > (a > a > $o) > b > a > $o).
0.21/0.54	thf(decl_139, type, relcompp_b_a_b: (b > a > $o) > (a > b > $o) > b > b > $o).
0.21/0.54	thf(decl_140, type, relcompp_b_b_a: (b > b > $o) > (b > a > $o) > b > a > $o).
0.21/0.54	thf(decl_141, type, collec645855634od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a).
0.21/0.54	thf(decl_142, type, collec654117139od_a_b: (product_prod_a_b > $o) > set_Product_prod_a_b).
0.21/0.54	thf(decl_143, type, collec1473625041od_b_a: (product_prod_b_a > $o) > set_Product_prod_b_a).
0.21/0.54	thf(decl_144, type, collec1481886546od_b_b: (product_prod_b_b > $o) > set_Product_prod_b_b).
0.21/0.54	thf(decl_145, type, image_401918467od_b_a: (produc913728465od_a_b > produc2141558671od_b_a) > set_Pr2126961073od_a_b > set_Pr454823535od_b_a).
0.21/0.54	thf(decl_146, type, image_1619077639od_a_b: (produc2141558671od_b_a > produc913728465od_a_b) > set_Pr454823535od_b_a > set_Pr2126961073od_a_b).
0.21/0.54	thf(decl_147, type, image_699424197od_b_a: (produc2141558671od_b_a > produc2141558671od_b_a) > set_Pr454823535od_b_a > set_Pr454823535od_b_a).
0.21/0.54	thf(decl_148, type, image_1886230877od_a_a: (produc2141558671od_b_a > product_prod_a_a) > set_Pr454823535od_b_a > set_Product_prod_a_a).
0.21/0.54	thf(decl_149, type, image_1894492382od_a_b: (produc2141558671od_b_a > product_prod_a_b) > set_Pr454823535od_b_a > set_Product_prod_a_b).
0.21/0.54	thf(decl_150, type, image_60777517od_b_a: (product_prod_a_a > produc2141558671od_b_a) > set_Product_prod_a_a > set_Pr454823535od_b_a).
0.21/0.54	thf(decl_151, type, image_794773445od_a_a: (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > set_Product_prod_a_a).
0.21/0.54	thf(decl_152, type, image_1671746309od_a_b: (product_prod_a_b > product_prod_a_b) > set_Product_prod_a_b > set_Product_prod_a_b).
0.21/0.54	thf(decl_153, type, image_343770563od_b_a: (product_prod_a_b > product_prod_b_a) > set_Product_prod_a_b > set_Product_prod_b_a).
0.21/0.54	thf(decl_154, type, image_560701019_a_b_a: (product_prod_a_b > a) > set_Product_prod_a_b > set_a).
0.21/0.54	thf(decl_155, type, image_560701020_a_b_b: (product_prod_a_b > b) > set_Product_prod_a_b > set_b).
0.21/0.54	thf(decl_156, type, image_317766087od_a_b: (product_prod_b_a > product_prod_a_b) > set_Product_prod_b_a > set_Product_prod_a_b).
0.21/0.54	thf(decl_157, type, image_1137273989od_b_a: (product_prod_b_a > product_prod_b_a) > set_Product_prod_b_a > set_Product_prod_b_a).
0.21/0.54	thf(decl_158, type, image_1208456989_b_a_a: (product_prod_b_a > a) > set_Product_prod_b_a > set_a).
0.21/0.54	thf(decl_159, type, image_1208456990_b_a_b: (product_prod_b_a > b) > set_Product_prod_b_a > set_b).
0.21/0.54	thf(decl_160, type, image_1734199855od_a_b: (a > product_prod_a_b) > set_a > set_Product_prod_a_b).
0.21/0.54	thf(decl_161, type, image_406224109od_b_a: (a > product_prod_b_a) > set_a > set_Product_prod_b_a).
0.21/0.54	thf(decl_162, type, image_a_a: (a > a) > set_a > set_a).
0.21/0.54	thf(decl_163, type, image_a_b: (a > b) > set_a > set_b).
0.21/0.54	thf(decl_164, type, image_855962990od_a_b: (b > product_prod_a_b) > set_b > set_Product_prod_a_b).
0.21/0.54	thf(decl_165, type, image_1675470892od_b_a: (b > product_prod_b_a) > set_b > set_Product_prod_b_a).
0.21/0.54	thf(decl_166, type, image_b_a: (b > a) > set_b > set_a).
0.21/0.54	thf(decl_167, type, image_b_b: (b > b) > set_b > set_b).
0.21/0.54	thf(decl_168, type, member458171089od_a_b: product_prod_a_b > set_Product_prod_a_b > $o).
0.21/0.54	thf(decl_169, type, member1277678991od_b_a: product_prod_b_a > set_Product_prod_b_a > $o).
0.21/0.54	thf(decl_170, type, member_a: a > set_a > $o).
0.21/0.54	thf(decl_171, type, member_b: b > set_b > $o).
0.21/0.54	thf(decl_172, type, a2: b).
0.21/0.54	thf(decl_173, type, b2: a).
0.21/0.54	thf(decl_174, type, esk1_2: a > product_prod_b_a > b).
0.21/0.54	thf(decl_175, type, esk2_1: (a > b > $o) > b).
0.21/0.54	thf(decl_176, type, esk3_1: (a > b > $o) > a).
0.21/0.54	thf(decl_177, type, esk4_1: product_prod_b_a > b).
0.21/0.54	thf(decl_178, type, esk5_1: product_prod_b_a > a).
0.21/0.54	thf(decl_179, type, esk6_1: (product_prod_b_a > $o) > b).
0.21/0.54	thf(decl_180, type, esk7_1: (product_prod_b_a > $o) > a).
0.21/0.54	thf(decl_181, type, esk8_1: (product_prod_b_a > $o) > b).
0.21/0.54	thf(decl_182, type, esk9_1: (product_prod_b_a > $o) > a).
0.21/0.54	thf(decl_183, type, esk10_1: product_prod_b_a > b).
0.21/0.54	thf(decl_184, type, esk11_1: product_prod_b_a > a).
0.21/0.54	thf(decl_185, type, esk12_2: b > product_prod_b_a > a).
0.21/0.54	thf(decl_186, type, esk13_3: product_prod_b_a > (b > a > $o) > (b > a > $o) > b).
0.21/0.54	thf(decl_187, type, esk14_3: product_prod_b_a > (b > a > $o) > (b > a > $o) > a).
0.21/0.54	thf(decl_188, type, esk15_5: set_b > set_Product_prod_b_a > set_a > (b > a > $o) > (b > a > $o) > b).
0.21/0.54	thf(decl_189, type, esk16_5: set_b > set_Product_prod_b_a > set_a > (b > a > $o) > (b > a > $o) > a).
0.21/0.54	thf(decl_190, type, esk17_3: product_prod_b_a > (product_prod_a_b > product_prod_b_a) > set_Product_prod_a_b > product_prod_a_b).
0.21/0.54	thf(decl_191, type, esk18_3: product_prod_b_a > (product_prod_b_a > product_prod_b_a) > set_Product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_192, type, esk19_3: product_prod_a_b > (product_prod_b_a > product_prod_a_b) > set_Product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_193, type, esk20_3: (product_prod_a_b > product_prod_b_a) > set_Product_prod_a_b > (product_prod_b_a > $o) > product_prod_a_b).
0.21/0.54	thf(decl_194, type, esk21_3: (product_prod_b_a > product_prod_a_b) > set_Product_prod_b_a > (product_prod_a_b > $o) > product_prod_b_a).
0.21/0.54	thf(decl_195, type, esk22_3: (product_prod_b_a > product_prod_b_a) > set_Product_prod_b_a > (product_prod_b_a > $o) > product_prod_b_a).
0.21/0.54	thf(decl_196, type, esk23_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > product_prod_a_b) > (product_prod_b_a > product_prod_a_b) > product_prod_b_a).
0.21/0.54	thf(decl_197, type, esk24_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > b) > (product_prod_b_a > b) > product_prod_b_a).
0.21/0.54	thf(decl_198, type, esk25_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > a) > (product_prod_b_a > a) > product_prod_b_a).
0.21/0.54	thf(decl_199, type, esk26_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > product_prod_b_a) > (product_prod_b_a > product_prod_b_a) > product_prod_b_a).
0.21/0.54	thf(decl_200, type, esk27_3: (product_prod_a_b > product_prod_b_a) > set_Product_prod_a_b > (product_prod_b_a > $o) > product_prod_b_a).
0.21/0.54	thf(decl_201, type, esk28_3: (product_prod_b_a > product_prod_a_b) > set_Product_prod_b_a > (product_prod_a_b > $o) > product_prod_a_b).
0.21/0.54	thf(decl_202, type, esk29_3: (product_prod_b_a > product_prod_b_a) > set_Product_prod_b_a > (product_prod_b_a > $o) > product_prod_b_a).
0.21/0.54	thf(decl_203, type, esk30_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > product_prod_a_b) > (product_prod_b_a > product_prod_a_b) > product_prod_b_a).
0.21/0.54	thf(decl_204, type, esk31_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > b) > (product_prod_b_a > b) > product_prod_b_a).
0.21/0.54	thf(decl_205, type, esk32_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > a) > (product_prod_b_a > a) > product_prod_b_a).
0.21/0.54	thf(decl_206, type, esk33_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > product_prod_b_a) > (product_prod_b_a > product_prod_b_a) > product_prod_b_a).
0.21/0.54	thf(decl_207, type, esk34_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > product_prod_a_b) > (product_prod_b_a > product_prod_a_b) > product_prod_b_a).
0.21/0.54	thf(decl_208, type, esk35_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > b) > (product_prod_b_a > b) > product_prod_b_a).
0.21/0.54	thf(decl_209, type, esk36_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > a) > (product_prod_b_a > a) > product_prod_b_a).
0.21/0.54	thf(decl_210, type, esk37_4: set_Product_prod_b_a > set_Product_prod_b_a > (product_prod_b_a > product_prod_b_a) > (product_prod_b_a > product_prod_b_a) > product_prod_b_a).
0.21/0.54	thf(decl_211, type, esk38_2: (product_prod_b_a > $o) > (product_prod_b_a > $o) > product_prod_b_a).
0.21/0.54	thf(decl_212, type, esk39_2: set_Product_prod_b_a > set_Product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_213, type, esk40_2: set_Product_prod_b_a > set_Product_prod_b_a > b).
0.21/0.54	thf(decl_214, type, esk41_2: set_Product_prod_b_a > set_Product_prod_b_a > a).
0.21/0.54	thf(decl_215, type, esk42_3: a > (product_prod_b_a > a) > set_Product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_216, type, esk43_3: (product_prod_b_a > a) > set_Product_prod_b_a > (a > $o) > product_prod_b_a).
0.21/0.54	thf(decl_217, type, esk44_3: (product_prod_b_a > a) > set_Product_prod_b_a > (a > $o) > a).
0.21/0.54	thf(decl_218, type, esk45_5: set_a > set_Product_prod_a_b > set_b > (a > b > $o) > (a > b > $o) > a).
0.21/0.54	thf(decl_219, type, esk46_5: set_a > set_Product_prod_a_b > set_b > (a > b > $o) > (a > b > $o) > b).
0.21/0.54	thf(decl_220, type, esk47_3: b > (product_prod_b_a > b) > set_Product_prod_b_a > product_prod_b_a).
0.21/0.54	thf(decl_221, type, esk48_3: (product_prod_b_a > b) > set_Product_prod_b_a > (b > $o) > product_prod_b_a).
0.21/0.54	thf(decl_222, type, esk49_3: (product_prod_b_a > b) > set_Product_prod_b_a > (b > $o) > b).
0.21/0.54	thf(decl_223, type, esk50_4: product_prod_b_a > (b > b) > (a > a) > set_Product_prod_b_a > b).
0.21/0.54	thf(decl_224, type, esk51_4: product_prod_b_a > (b > b) > (a > a) > set_Product_prod_b_a > a).
0.21/0.54	thf(decl_225, type, esk52_4: set_Product_prod_a_b > set_Product_prod_a_b > (product_prod_a_b > product_prod_b_a) > (product_prod_a_b > product_prod_b_a) > product_prod_a_b).
0.21/0.54	thf(decl_226, type, esk53_4: set_Product_prod_a_b > set_Product_prod_a_b > (product_prod_a_b > product_prod_b_a) > (product_prod_a_b > product_prod_b_a) > product_prod_a_b).
0.21/0.54	thf(decl_227, type, esk54_4: set_Product_prod_a_b > set_Product_prod_a_b > (product_prod_a_b > product_prod_b_a) > (product_prod_a_b > product_prod_b_a) > product_prod_a_b).
0.21/0.54	thf(decl_228, type, esk55_2: set_Product_prod_a_b > set_Product_prod_a_b > product_prod_a_b).
0.21/0.54	thf(decl_229, type, esk56_2: b > product_prod_a_b > a).
0.21/0.54	thf(decl_230, type, esk57_1: (b > a > $o) > a).
0.21/0.54	thf(decl_231, type, esk58_1: (b > a > $o) > b).
0.21/0.54	thf(decl_232, type, esk59_2: a > product_prod_a_b > b).
0.21/0.54	thf(decl_233, type, esk60_1: product_prod_a_b > a).
0.21/0.54	thf(decl_234, type, esk61_1: product_prod_a_b > b).
0.21/0.54	thf(decl_235, type, esk62_1: (product_prod_a_b > $o) > a).
0.21/0.54	thf(decl_236, type, esk63_1: (product_prod_a_b > $o) > b).
0.21/0.54	thf(decl_237, type, esk64_1: (product_prod_a_b > $o) > a).
0.21/0.54	thf(decl_238, type, esk65_1: (product_prod_a_b > $o) > b).
0.21/0.54	thf(decl_239, type, esk66_1: product_prod_a_b > a).
0.21/0.54	thf(decl_240, type, esk67_1: product_prod_a_b > b).
0.21/0.54	thf(conj_0, conjecture, ((product_snd_b_a @ (product_Pair_b_a @ a2 @ b2))=(b2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
0.21/0.54	thf(fact_9_snd__conv, axiom, ![X27:b, X28:a]:(((product_snd_b_a @ (product_Pair_b_a @ X27 @ X28))=(X28))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_9_snd__conv)).
0.21/0.54	thf(c_0_2, negated_conjecture, ((product_snd_b_a @ (product_Pair_b_a @ a2 @ b2))!=(b2)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])).
0.21/0.54	thf(c_0_3, plain, ![X1704:b, X1705:a]:(((product_snd_b_a @ (product_Pair_b_a @ X1704 @ X1705))=(X1705))), inference(variable_rename,[status(thm)],[fact_9_snd__conv])).
0.21/0.54	thf(c_0_4, negated_conjecture, ((product_snd_b_a @ (product_Pair_b_a @ a2 @ b2))!=(b2)), inference(split_conjunct,[status(thm)],[c_0_2])).
0.21/0.54	thf(c_0_5, plain, ![X2:b, X1:a]:(((product_snd_b_a @ (product_Pair_b_a @ X2 @ X1))=(X1))), inference(split_conjunct,[status(thm)],[c_0_3])).
0.21/0.54	thf(c_0_6, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4, c_0_5])]), ['proof']).
0.21/0.54	# SZS output end CNFRefutation
0.21/0.54	# Parsed axioms                        : 522
0.21/0.54	# Removed by relevancy pruning/SinE    : 314
0.21/0.54	# Initial clauses                      : 314
0.21/0.54	# Removed in clause preprocessing      : 30
0.21/0.54	# Initial clauses in saturation        : 284
0.21/0.54	# Processed clauses                    : 3
0.21/0.54	# ...of these trivial                  : 0
0.21/0.54	# ...subsumed                          : 0
0.21/0.54	# ...remaining for further processing  : 3
0.21/0.54	# Other redundant clauses eliminated   : 0
0.21/0.54	# Clauses deleted for lack of memory   : 0
0.21/0.54	# Backward-subsumed                    : 0
0.21/0.54	# Backward-rewritten                   : 1
0.21/0.54	# Generated clauses                    : 0
0.21/0.54	# ...of the previous two non-redundant : 0
0.21/0.54	# ...aggressively subsumed             : 0
0.21/0.54	# Contextual simplify-reflections      : 0
0.21/0.54	# Paramodulations                      : 0
0.21/0.54	# Factorizations                       : 0
0.21/0.54	# NegExts                              : 0
0.21/0.54	# Equation resolutions                 : 0
0.21/0.54	# Propositional unsat checks           : 0
0.21/0.54	#    Propositional check models        : 0
0.21/0.54	#    Propositional check unsatisfiable : 0
0.21/0.54	#    Propositional clauses             : 0
0.21/0.54	#    Propositional clauses after purity: 0
0.21/0.54	#    Propositional unsat core size     : 0
0.21/0.54	#    Propositional preprocessing time  : 0.000
0.21/0.54	#    Propositional encoding time       : 0.000
0.21/0.54	#    Propositional solver time         : 0.000
0.21/0.54	#    Success case prop preproc time    : 0.000
0.21/0.54	#    Success case prop encoding time   : 0.000
0.21/0.54	#    Success case prop solver time     : 0.000
0.21/0.54	# Current number of processed clauses  : 2
0.21/0.54	#    Positive orientable unit clauses  : 2
0.21/0.54	#    Positive unorientable unit clauses: 0
0.21/0.54	#    Negative unit clauses             : 0
0.21/0.54	#    Non-unit-clauses                  : 0
0.21/0.54	# Current number of unprocessed clauses: 281
0.21/0.54	# ...number of literals in the above   : 641
0.21/0.54	# Current number of archived formulas  : 0
0.21/0.54	# Current number of archived clauses   : 1
0.21/0.54	# Clause-clause subsumption calls (NU) : 0
0.21/0.54	# Rec. Clause-clause subsumption calls : 0
0.21/0.54	# Non-unit clause-clause subsumptions  : 0
0.21/0.54	# Unit Clause-clause subsumption calls : 0
0.21/0.54	# Rewrite failures with RHS unbound    : 0
0.21/0.54	# BW rewrite match attempts            : 1
0.21/0.54	# BW rewrite match successes           : 1
0.21/0.54	# Condensation attempts                : 3
0.21/0.54	# Condensation successes               : 0
0.21/0.54	# Termbank termtop insertions          : 26085
0.21/0.54	
0.21/0.54	# -------------------------------------------------
0.21/0.54	# User time                : 0.026 s
0.21/0.54	# System time              : 0.011 s
0.21/0.54	# Total time               : 0.037 s
0.21/0.54	# Maximum resident set size: 4404 pages
0.21/0.54	
0.21/0.54	# -------------------------------------------------
0.21/0.54	# User time                : 0.045 s
0.21/0.54	# System time              : 0.012 s
0.21/0.54	# Total time               : 0.057 s
0.21/0.54	# Maximum resident set size: 2820 pages
0.21/0.54	EOF