0.00/0.09 % Problem : SLH318^1 : TPTP v7.5.0. Released v7.5.0. 0.09/0.10 % Command : run_E %s %d THM 0.09/0.30 % Computer : n003.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 30 0.09/0.30 % WCLimit : 30 0.09/0.30 % DateTime : Tue Aug 9 02:46:51 EDT 2022 0.09/0.30 % CPUTime : 0.15/0.40 The problem SPC is TH0_THM_EQU_NAR 0.15/0.40 Running higher-order on 1 cores theorem proving 0.15/0.40 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 0.15/0.40 # Version: 3.0pre003-ho 0.15/0.51 # Preprocessing class: HSLMSMSMSSMNHFA. 0.15/0.51 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.15/0.51 # Starting full_lambda_6 with 30s (1) cores 0.15/0.51 # full_lambda_6 with pid 5813 completed with status 0 0.15/0.51 # Result found by full_lambda_6 0.15/0.51 # Preprocessing class: HSLMSMSMSSMNHFA. 0.15/0.51 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.15/0.51 # Starting full_lambda_6 with 30s (1) cores 0.15/0.51 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.15/0.51 # ...ProofStateSinE()=192/510 0.15/0.51 # Search class: HGHSM-FSLM32-DHFFFSBN 0.15/0.51 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.15/0.51 # Starting new_ho_10 with 17s (1) cores 0.15/0.51 # new_ho_10 with pid 5814 completed with status 0 0.15/0.51 # Result found by new_ho_10 0.15/0.51 # Preprocessing class: HSLMSMSMSSMNHFA. 0.15/0.51 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.15/0.51 # Starting full_lambda_6 with 30s (1) cores 0.15/0.51 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.15/0.51 # ...ProofStateSinE()=192/510 0.15/0.51 # Search class: HGHSM-FSLM32-DHFFFSBN 0.15/0.51 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.15/0.51 # Starting new_ho_10 with 17s (1) cores 0.15/0.51 # Preprocessing time : 0.005 s 0.15/0.51 # Presaturation interreduction done 0.15/0.51 0.15/0.51 # Proof found! 0.15/0.51 # SZS status Theorem 0.15/0.51 # SZS output start CNFRefutation 0.15/0.51 thf(decl_22, type, bNF_pi719018650_a_a_a: (a > a > $o) > (a > a > $o) > a > a > a). 0.15/0.51 thf(decl_23, type, bNF_sndOp_a_a_a: (a > a > $o) > (a > a > $o) > product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_24, type, bNF_Gr1853143117_a_a_a: set_Product_prod_a_a > (product_prod_a_a > a) > (product_prod_a_a > a) > set_Product_prod_a_a). 0.15/0.51 thf(decl_25, type, bNF_Gr423046308_a_a_a: set_a > (a > a) > (a > a) > set_Product_prod_a_a). 0.15/0.51 thf(decl_26, type, inj_on1767161649od_a_a: (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_27, type, inj_on827838216_a_a_a: (product_prod_a_a > a) > set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_28, type, inj_on65502746od_a_a: (a > product_prod_a_a) > set_a > $o). 0.15/0.51 thf(decl_29, type, inj_on_a_a: (a > a) > set_a > $o). 0.15/0.51 thf(decl_30, type, uminus1440301054od_a_a: set_Product_prod_a_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_31, type, uminus_uminus_set_a: set_a > set_a). 0.15/0.51 thf(decl_32, type, order_491428350od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o). 0.15/0.51 thf(decl_33, type, order_359341630od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o). 0.15/0.51 thf(decl_34, type, order_preorder_on_a: set_a > set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_35, type, order_under_a: set_Product_prod_a_a > a > set_a). 0.15/0.51 thf(decl_36, type, ord_le1108438663od_a_a: produc1068693223od_a_a > produc1068693223od_a_a > $o). 0.15/0.51 thf(decl_37, type, ord_le2095302494_set_a: produc275558334_set_a > produc275558334_set_a > $o). 0.15/0.51 thf(decl_38, type, ord_le49202928od_a_a: produc376942416od_a_a > produc376942416od_a_a > $o). 0.15/0.51 thf(decl_39, type, ord_le456379495od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > $o). 0.15/0.51 thf(decl_40, type, ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_41, type, ord_less_eq_set_a: set_a > set_a > $o). 0.15/0.51 thf(decl_42, type, top_to2011536774_a_a_o: produc1572603623od_a_a > $o). 0.15/0.51 thf(decl_43, type, top_to1483957574_a_a_o: product_prod_a_a > $o). 0.15/0.51 thf(decl_44, type, top_top_a_o: a > $o). 0.15/0.51 thf(decl_45, type, top_top_o: $o). 0.15/0.51 thf(decl_46, type, top_to340794605_set_a: produc867313213_set_a). 0.15/0.51 thf(decl_47, type, top_to1864578607_o_a_o: product_prod_a_o_a_o). 0.15/0.51 thf(decl_48, type, top_to1493969901od_a_a: produc2020488509od_a_a). 0.15/0.51 thf(decl_49, type, top_to930405060_set_a: produc1561113620_set_a). 0.15/0.51 thf(decl_50, type, top_to856546405_a_a_o: produc1383065013_a_a_o). 0.15/0.51 thf(decl_51, type, top_to1054260494_set_a: produc275558334_set_a). 0.15/0.51 thf(decl_52, type, top_to1333523795_a_a_o: produc1860042403_a_a_o). 0.15/0.51 thf(decl_53, type, top_to1358926908_a_a_o: produc1989635468_a_a_o). 0.15/0.51 thf(decl_54, type, top_to1155644576od_a_a: produc376942416od_a_a). 0.15/0.51 thf(decl_55, type, top_to1477940855_set_a: produc1691597095_set_a). 0.15/0.51 thf(decl_56, type, top_to52711959od_a_a: set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_57, type, top_to1031846638_a_a_a: set_Pr1689873822_a_a_a). 0.15/0.51 thf(decl_58, type, top_to23279744od_a_a: set_Pr681306928od_a_a). 0.15/0.51 thf(decl_59, type, top_to398455383od_a_a: set_Product_prod_a_a). 0.15/0.51 thf(decl_60, type, top_top_set_a: set_a). 0.15/0.51 thf(decl_61, type, prefer1409946857od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o). 0.15/0.51 thf(decl_62, type, prefer1338892073od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o). 0.15/0.51 thf(decl_63, type, prefer1292084992ence_a: set_a > set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_64, type, produc1117382895_set_a: (product_prod_a_a > $o) > set_a > produc867313213_set_a). 0.15/0.51 thf(decl_65, type, product_Pair_a_o_a_o: (a > $o) > (a > $o) > product_prod_a_o_a_o). 0.15/0.51 thf(decl_66, type, produc1224491119od_a_a: (a > $o) > set_Product_prod_a_a > produc2020488509od_a_a). 0.15/0.51 thf(decl_67, type, produc1916559302_set_a: (a > $o) > set_a > produc1561113620_set_a). 0.15/0.51 thf(decl_68, type, produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a). 0.15/0.51 thf(decl_69, type, produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a). 0.15/0.51 thf(decl_70, type, produc2070347183_a_a_o: set_Product_prod_a_a > (a > $o) > produc1383065013_a_a_o). 0.15/0.51 thf(decl_71, type, produc1903864663od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > produc1068693223od_a_a). 0.15/0.51 thf(decl_72, type, produc194376366_set_a: set_Product_prod_a_a > set_a > produc275558334_set_a). 0.15/0.51 thf(decl_73, type, produc279670301_a_a_o: set_a > (product_prod_a_a > $o) > produc1860042403_a_a_o). 0.15/0.51 thf(decl_74, type, produc634809990_a_a_o: set_a > (a > $o) > produc1989635468_a_a_o). 0.15/0.51 thf(decl_75, type, produc1397177024od_a_a: set_a > set_Product_prod_a_a > produc376942416od_a_a). 0.15/0.51 thf(decl_76, type, produc1928581911_set_a: set_a > set_a > produc1691597095_set_a). 0.15/0.51 thf(decl_77, type, product_Pair_a_a: a > a > product_prod_a_a). 0.15/0.51 thf(decl_78, type, product_apsnd_a_a_a: (a > a) > product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_79, type, produc94438221_a_a_o: (produc1572603623od_a_a > $o) > product_prod_a_a > product_prod_a_a > $o). 0.15/0.51 thf(decl_80, type, product_curry_a_a_o: (product_prod_a_a > $o) > a > a > $o). 0.15/0.51 thf(decl_81, type, produc143372156od_a_a: (product_prod_a_a > set_Product_prod_a_a) > a > a > set_Product_prod_a_a). 0.15/0.51 thf(decl_82, type, produc580150227_set_a: (product_prod_a_a > set_a) > a > a > set_a). 0.15/0.51 thf(decl_83, type, produc748978966_a_a_o: (a > a > $o) > product_prod_a_a > $o). 0.15/0.51 thf(decl_84, type, produc1653225349od_a_a: (a > a > set_Product_prod_a_a) > product_prod_a_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_85, type, produc694541532_set_a: (a > a > set_a) > product_prod_a_a > set_a). 0.15/0.51 thf(decl_86, type, produc1779756150od_a_a: (product_prod_a_a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > produc1572603623od_a_a > produc1572603623od_a_a). 0.15/0.51 thf(decl_87, type, produc363290532_a_a_a: (product_prod_a_a > a) > (product_prod_a_a > a) > produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_88, type, produc1748438710od_a_a: (product_prod_a_a > a) > (a > product_prod_a_a) > produc1016684094_a_a_a > produc1921647824od_a_a). 0.15/0.51 thf(decl_89, type, produc1690954637_a_a_a: (product_prod_a_a > a) > (a > a) > produc1016684094_a_a_a > product_prod_a_a). 0.15/0.51 thf(decl_90, type, produc627669942_a_a_a: (a > product_prod_a_a) > (product_prod_a_a > a) > produc1921647824od_a_a > produc1016684094_a_a_a). 0.15/0.51 thf(decl_91, type, produc2012818120od_a_a: (a > product_prod_a_a) > (a > product_prod_a_a) > product_prod_a_a > produc1572603623od_a_a). 0.15/0.51 thf(decl_92, type, produc1058924959_a_a_a: (a > product_prod_a_a) > (a > a) > product_prod_a_a > produc1016684094_a_a_a). 0.15/0.51 thf(decl_93, type, produc1719354934od_a_a: (a > a) > (product_prod_a_a > product_prod_a_a) > produc1921647824od_a_a > produc1921647824od_a_a). 0.15/0.51 thf(decl_94, type, produc892445453_a_a_a: (a > a) > (product_prod_a_a > a) > produc1921647824od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_95, type, produc130109983od_a_a: (a > a) > (a > product_prod_a_a) > product_prod_a_a > produc1921647824od_a_a). 0.15/0.51 thf(decl_96, type, produc700022774_a_a_a: (a > a) > (a > a) > product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_97, type, produc816211244_a_a_o: (product_prod_a_a > product_prod_a_a > $o) > produc1572603623od_a_a > $o). 0.15/0.51 thf(decl_98, type, produc1279141979od_a_a: (product_prod_a_a > product_prod_a_a > set_Pr1948701895od_a_a) > produc1572603623od_a_a > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_99, 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). 0.15/0.51 thf(decl_100, type, produc869579762_set_a: (product_prod_a_a > product_prod_a_a > set_a) > produc1572603623od_a_a > set_a). 0.15/0.51 thf(decl_101, type, produc1833107820_a_a_o: (a > a > $o) > product_prod_a_a > $o). 0.15/0.51 thf(decl_102, type, produc1751966875od_a_a: (a > a > set_Pr1948701895od_a_a) > product_prod_a_a > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_103, type, produc1093061851od_a_a: (a > a > set_Product_prod_a_a) > product_prod_a_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_104, type, produc961951794_set_a: (a > a > set_a) > product_prod_a_a > set_a). 0.15/0.51 thf(decl_105, type, produc2115494211od_a_a: produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_106, type, product_fst_a_a: product_prod_a_a > a). 0.15/0.51 thf(decl_107, type, produc368344197od_a_a: produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_108, type, product_snd_a_a: product_prod_a_a > a). 0.15/0.51 thf(decl_109, type, produc1641853175od_a_a: produc1572603623od_a_a > produc1572603623od_a_a). 0.15/0.51 thf(decl_110, type, product_swap_a_a: product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_111, type, id_on_1195871876od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a). 0.15/0.51 thf(decl_112, type, id_on_1182990020od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_113, type, id_on_a: set_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_114, type, inv_im1103420434od_a_a: set_Pr1948701895od_a_a > (product_prod_a_a > product_prod_a_a) > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_115, type, inv_im777352425_a_a_a: set_Pr1948701895od_a_a > (a > product_prod_a_a) > set_Product_prod_a_a). 0.15/0.51 thf(decl_116, type, inv_im15016955od_a_a: set_Product_prod_a_a > (product_prod_a_a > a) > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_117, type, inv_image_a_a: set_Product_prod_a_a > (a > a) > set_Product_prod_a_a). 0.15/0.51 thf(decl_118, type, refl_o198693862od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o). 0.15/0.51 thf(decl_119, type, refl_o1298442278od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o). 0.15/0.51 thf(decl_120, type, refl_on_a: set_a > set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_121, type, trans_972827014od_a_a: set_Pr1948701895od_a_a > $o). 0.15/0.51 thf(decl_122, type, trans_a: set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_123, type, collec1635618130od_a_a: (produc1572603623od_a_a > $o) > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_124, type, collec645855634od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a). 0.15/0.51 thf(decl_125, type, collect_a: (a > $o) > set_a). 0.15/0.51 thf(decl_126, type, image_236793797od_a_a: (produc1572603623od_a_a > produc1572603623od_a_a) > set_Pr1948701895od_a_a > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_127, type, image_734753285od_a_a: (produc1572603623od_a_a > product_prod_a_a) > set_Pr1948701895od_a_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_128, type, image_1105229276_a_a_a: (produc1572603623od_a_a > a) > set_Pr1948701895od_a_a > set_a). 0.15/0.51 thf(decl_129, type, image_1021959191od_a_a: (produc1016684094_a_a_a > produc1921647824od_a_a) > set_Pr1689873822_a_a_a > set_Pr681306928od_a_a). 0.15/0.51 thf(decl_130, type, image_1140056942od_a_a: (produc1016684094_a_a_a > product_prod_a_a) > set_Pr1689873822_a_a_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_131, type, image_2016058227_a_a_a: (produc1921647824od_a_a > produc1016684094_a_a_a) > set_Pr681306928od_a_a > set_Pr1689873822_a_a_a). 0.15/0.51 thf(decl_132, type, image_773538309od_a_a: (produc1921647824od_a_a > produc1921647824od_a_a) > set_Pr681306928od_a_a > set_Pr681306928od_a_a). 0.15/0.51 thf(decl_133, type, image_1701144412od_a_a: (produc1921647824od_a_a > product_prod_a_a) > set_Pr681306928od_a_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_134, type, image_1765377413od_a_a: (product_prod_a_a > produc1572603623od_a_a) > set_Product_prod_a_a > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_135, type, image_1083386588_a_a_a: (product_prod_a_a > produc1016684094_a_a_a) > set_Product_prod_a_a > set_Pr1689873822_a_a_a). 0.15/0.51 thf(decl_136, type, image_1988350318od_a_a: (product_prod_a_a > produc1921647824od_a_a) > set_Product_prod_a_a > set_Pr681306928od_a_a). 0.15/0.51 thf(decl_137, type, image_794773445od_a_a: (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_138, type, image_340790172_a_a_a: (product_prod_a_a > a) > set_Product_prod_a_a > set_a). 0.15/0.51 thf(decl_139, type, image_1763923566od_a_a: (a > produc1572603623od_a_a) > set_a > set_Pr1948701895od_a_a). 0.15/0.51 thf(decl_140, type, image_1725938350od_a_a: (a > product_prod_a_a) > set_a > set_Product_prod_a_a). 0.15/0.51 thf(decl_141, type, image_a_a: (a > a) > set_a > set_a). 0.15/0.51 thf(decl_142, type, member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o). 0.15/0.51 thf(decl_143, type, member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o). 0.15/0.51 thf(decl_144, type, member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 0.15/0.51 thf(decl_145, type, member_a: a > set_a > $o). 0.15/0.51 thf(decl_146, type, carrier: set_a). 0.15/0.51 thf(decl_147, type, relation: set_Product_prod_a_a). 0.15/0.51 thf(decl_148, type, x: a). 0.15/0.51 thf(decl_149, type, y: a). 0.15/0.51 thf(decl_150, type, z: a). 0.15/0.51 thf(decl_151, type, esk1_0: product_prod_a_a). 0.15/0.51 thf(decl_152, type, esk2_1: set_Product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_153, type, esk3_1: product_prod_a_a > a). 0.15/0.51 thf(decl_154, type, esk4_1: product_prod_a_a > a). 0.15/0.51 thf(decl_155, type, esk5_1: (product_prod_a_a > $o) > a). 0.15/0.51 thf(decl_156, type, esk6_1: (product_prod_a_a > $o) > a). 0.15/0.51 thf(decl_157, type, esk7_1: produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_158, type, esk8_1: produc1572603623od_a_a > a). 0.15/0.51 thf(decl_159, type, esk9_1: produc1572603623od_a_a > a). 0.15/0.51 thf(decl_160, type, esk10_1: (product_prod_a_a > $o) > a). 0.15/0.51 thf(decl_161, type, esk11_1: (product_prod_a_a > $o) > a). 0.15/0.51 thf(decl_162, type, esk12_1: product_prod_a_a > a). 0.15/0.51 thf(decl_163, type, esk13_1: product_prod_a_a > a). 0.15/0.51 thf(decl_164, type, esk14_1: (produc1572603623od_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_165, type, esk15_1: (produc1572603623od_a_a > $o) > a). 0.15/0.51 thf(decl_166, type, esk16_1: (produc1572603623od_a_a > $o) > a). 0.15/0.51 thf(decl_167, type, esk17_2: a > product_prod_a_a > a). 0.15/0.51 thf(decl_168, type, esk18_2: a > product_prod_a_a > a). 0.15/0.51 thf(decl_169, type, esk19_2: (a > product_prod_a_a) > product_prod_a_a > a). 0.15/0.51 thf(decl_170, type, esk20_2: (product_prod_a_a > a) > a > product_prod_a_a). 0.15/0.51 thf(decl_171, type, esk21_2: (product_prod_a_a > product_prod_a_a) > product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_172, type, esk22_2: (a > product_prod_a_a) > product_prod_a_a > a). 0.15/0.51 thf(decl_173, type, esk23_2: (product_prod_a_a > a) > a > product_prod_a_a). 0.15/0.51 thf(decl_174, type, esk24_2: (product_prod_a_a > product_prod_a_a) > product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_175, type, esk25_2: (a > product_prod_a_a) > (product_prod_a_a > a) > product_prod_a_a). 0.15/0.51 thf(decl_176, type, esk26_2: (product_prod_a_a > a) > (a > product_prod_a_a) > a). 0.15/0.51 thf(decl_177, type, esk27_2: (product_prod_a_a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > product_prod_a_a). 0.15/0.51 thf(decl_178, type, esk28_2: (a > product_prod_a_a) > product_prod_a_a > a). 0.15/0.51 thf(decl_179, type, esk29_1: (a > product_prod_a_a) > product_prod_a_a). 0.15/0.51 thf(decl_180, type, esk30_2: (product_prod_a_a > a) > a > product_prod_a_a). 0.15/0.51 thf(decl_181, type, esk31_1: (product_prod_a_a > a) > a). 0.15/0.51 thf(decl_182, type, esk32_2: (product_prod_a_a > product_prod_a_a) > product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_183, type, esk33_1: (product_prod_a_a > product_prod_a_a) > product_prod_a_a). 0.15/0.51 thf(decl_184, type, esk34_2: set_Product_prod_a_a > set_a > a). 0.15/0.51 thf(decl_185, type, esk35_2: set_Product_prod_a_a > set_a > a). 0.15/0.51 thf(decl_186, type, esk36_2: set_Product_prod_a_a > set_a > a). 0.15/0.51 thf(decl_187, type, esk37_2: set_Product_prod_a_a > set_a > a). 0.15/0.51 thf(decl_188, type, esk38_3: product_prod_a_a > (a > product_prod_a_a) > set_a > a). 0.15/0.51 thf(decl_189, type, esk39_3: a > (a > a) > set_a > a). 0.15/0.51 thf(decl_190, type, esk40_3: a > (product_prod_a_a > a) > set_Product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_191, type, esk41_3: (a > a) > set_a > (a > $o) > a). 0.15/0.51 thf(decl_192, type, esk42_3: (a > product_prod_a_a) > set_a > (product_prod_a_a > $o) > a). 0.15/0.51 thf(decl_193, type, esk43_3: (product_prod_a_a > a) > set_Product_prod_a_a > (a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_194, type, esk44_4: set_a > set_a > (a > a) > (a > a) > a). 0.15/0.51 thf(decl_195, type, esk45_4: set_a > set_a > (a > product_prod_a_a) > (a > product_prod_a_a) > a). 0.15/0.51 thf(decl_196, type, esk46_0: a). 0.15/0.51 thf(decl_197, type, esk47_1: set_a > a). 0.15/0.51 thf(decl_198, type, esk48_3: (a > a) > set_a > (a > $o) > a). 0.15/0.51 thf(decl_199, type, esk49_3: (a > product_prod_a_a) > set_a > (product_prod_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_200, type, esk50_3: (product_prod_a_a > a) > set_Product_prod_a_a > (a > $o) > a). 0.15/0.51 thf(decl_201, type, esk51_4: set_a > set_a > (a > a) > (a > a) > a). 0.15/0.51 thf(decl_202, type, esk52_4: set_a > set_a > (a > product_prod_a_a) > (a > product_prod_a_a) > a). 0.15/0.51 thf(decl_203, type, esk53_4: set_a > set_a > (a > a) > (a > a) > a). 0.15/0.51 thf(decl_204, type, esk54_4: set_a > set_a > (a > product_prod_a_a) > (a > product_prod_a_a) > a). 0.15/0.51 thf(decl_205, type, esk55_1: set_Product_prod_a_a > a). 0.15/0.51 thf(decl_206, type, esk56_1: set_Product_prod_a_a > a). 0.15/0.51 thf(decl_207, type, esk57_1: set_Product_prod_a_a > a). 0.15/0.51 thf(decl_208, type, esk58_1: produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_209, type, esk59_1: produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_210, type, esk60_1: (produc1572603623od_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_211, type, esk61_1: (produc1572603623od_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_212, type, esk62_1: (produc1572603623od_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_213, type, esk63_1: (produc1572603623od_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_214, type, esk64_1: produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_215, type, esk65_1: produc1572603623od_a_a > product_prod_a_a). 0.15/0.51 thf(decl_216, type, esk66_3: product_prod_a_a > (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_217, type, esk67_3: (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_218, type, esk68_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > product_prod_a_a). 0.15/0.51 thf(decl_219, type, esk69_3: (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > (product_prod_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_220, type, esk70_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > product_prod_a_a). 0.15/0.51 thf(decl_221, type, esk71_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a) > (product_prod_a_a > product_prod_a_a) > product_prod_a_a). 0.15/0.51 thf(decl_222, type, esk72_3: set_Product_prod_a_a > (product_prod_a_a > product_prod_a_a) > set_Product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_223, type, esk73_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > a) > (product_prod_a_a > a) > product_prod_a_a). 0.15/0.51 thf(decl_224, type, esk74_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > a) > (product_prod_a_a > a) > product_prod_a_a). 0.15/0.51 thf(decl_225, type, esk75_4: set_Product_prod_a_a > set_Product_prod_a_a > (product_prod_a_a > a) > (product_prod_a_a > a) > product_prod_a_a). 0.15/0.51 thf(decl_226, type, esk76_5: set_a > set_Product_prod_a_a > set_a > (a > a > $o) > (a > a > $o) > a). 0.15/0.51 thf(decl_227, type, esk77_5: set_a > set_Product_prod_a_a > set_a > (a > a > $o) > (a > a > $o) > a). 0.15/0.51 thf(decl_228, type, esk78_3: set_Product_prod_a_a > (product_prod_a_a > a) > set_a > product_prod_a_a). 0.15/0.51 thf(decl_229, type, esk79_3: set_a > (a > product_prod_a_a) > set_Product_prod_a_a > a). 0.15/0.51 thf(decl_230, type, esk80_2: (a > a) > a > a). 0.15/0.51 thf(decl_231, type, esk81_2: (a > a) > a > a). 0.15/0.51 thf(decl_232, type, esk82_2: (a > a) > (a > a) > a). 0.15/0.51 thf(decl_233, type, esk83_2: (a > a) > a > a). 0.15/0.51 thf(decl_234, type, esk84_1: (a > a) > a). 0.15/0.51 thf(decl_235, type, esk85_3: set_a > (a > a) > set_a > a). 0.15/0.51 thf(decl_236, type, esk86_2: product_prod_a_a > set_a > a). 0.15/0.51 thf(decl_237, type, esk87_3: a > (a > a > set_a) > product_prod_a_a > a). 0.15/0.51 thf(decl_238, type, esk88_3: a > (a > a > set_a) > product_prod_a_a > a). 0.15/0.51 thf(decl_239, type, esk89_3: product_prod_a_a > (a > a > set_a) > (a > a > set_a) > a). 0.15/0.51 thf(decl_240, type, esk90_3: product_prod_a_a > (a > a > set_a) > (a > a > set_a) > a). 0.15/0.51 thf(decl_241, type, esk91_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > product_prod_a_a > a). 0.15/0.51 thf(decl_242, type, esk92_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > product_prod_a_a > a). 0.15/0.51 thf(decl_243, type, esk93_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > (a > a > set_Product_prod_a_a) > a). 0.15/0.51 thf(decl_244, type, esk94_3: product_prod_a_a > (a > a > set_Product_prod_a_a) > (a > a > set_Product_prod_a_a) > a). 0.15/0.51 thf(decl_245, type, esk95_3: product_prod_a_a > (a > a > $o) > (a > a > $o) > a). 0.15/0.51 thf(decl_246, type, esk96_3: product_prod_a_a > (a > a > $o) > (a > a > $o) > a). 0.15/0.51 thf(decl_247, type, esk97_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_248, type, esk98_2: set_Product_prod_a_a > set_Product_prod_a_a > a). 0.15/0.51 thf(decl_249, type, esk99_2: set_Product_prod_a_a > set_Product_prod_a_a > a). 0.15/0.51 thf(decl_250, type, esk100_2: (product_prod_a_a > $o) > (product_prod_a_a > $o) > product_prod_a_a). 0.15/0.51 thf(decl_251, type, esk101_2: set_a > set_a > a). 0.15/0.51 thf(decl_252, type, esk102_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_253, type, esk103_2: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a). 0.15/0.51 thf(decl_254, type, esk104_2: set_a > set_a > a). 0.15/0.51 thf(decl_255, type, esk105_2: set_a > set_a > a). 0.15/0.51 thf(fact_39_transE, axiom, ![X109:set_Product_prod_a_a, X1:a, X2:a, X110:a]:(((trans_a @ X109)=>((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ X109)=>((member449909584od_a_a @ (product_Pair_a_a @ X2 @ X110) @ X109)=>(member449909584od_a_a @ (product_Pair_a_a @ X1 @ X110) @ X109))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_39_transE)). 0.15/0.51 thf(conj_2, conjecture, ((member449909584od_a_a @ (product_Pair_a_a @ x @ z) @ relation)&(member449909584od_a_a @ (product_Pair_a_a @ z @ x) @ relation)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)). 0.15/0.51 thf(conj_0, hypothesis, ((member449909584od_a_a @ (product_Pair_a_a @ x @ y) @ relation)&(member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.15/0.51 thf(fact_6_transitivity, axiom, (trans_a @ relation), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_6_transitivity)). 0.15/0.51 thf(conj_1, hypothesis, ((member449909584od_a_a @ (product_Pair_a_a @ y @ z) @ relation)&(member449909584od_a_a @ (product_Pair_a_a @ z @ y) @ relation)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 0.15/0.51 thf(c_0_5, plain, ![X1643:set_Product_prod_a_a, X1644:a, X1645:a, X1646:a]:((~(trans_a @ X1643)|(~(member449909584od_a_a @ (product_Pair_a_a @ X1644 @ X1645) @ X1643)|(~(member449909584od_a_a @ (product_Pair_a_a @ X1645 @ X1646) @ X1643)|(member449909584od_a_a @ (product_Pair_a_a @ X1644 @ X1646) @ X1643))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_39_transE])])). 0.15/0.51 thf(c_0_6, negated_conjecture, ~(((member449909584od_a_a @ (product_Pair_a_a @ x @ z) @ relation)&(member449909584od_a_a @ (product_Pair_a_a @ z @ x) @ relation))), inference(assume_negation,[status(cth)],[conj_2])). 0.15/0.51 thf(c_0_7, plain, ![X1:a, X2:a, X7:a, X39:set_Product_prod_a_a]:(((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X7) @ X39)|~((trans_a @ X39))|~((member449909584od_a_a @ (product_Pair_a_a @ X1 @ X2) @ X39))|~((member449909584od_a_a @ (product_Pair_a_a @ X2 @ X7) @ X39)))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.15/0.51 thf(c_0_8, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ y @ x) @ relation), inference(split_conjunct,[status(thm)],[conj_0])). 0.15/0.51 thf(c_0_9, plain, (trans_a @ relation), inference(split_conjunct,[status(thm)],[fact_6_transitivity])). 0.15/0.51 thf(c_0_10, negated_conjecture, (~(member449909584od_a_a @ (product_Pair_a_a @ x @ z) @ relation)|~(member449909584od_a_a @ (product_Pair_a_a @ z @ x) @ relation)), inference(fof_nnf,[status(thm)],[c_0_6])). 0.15/0.51 thf(c_0_11, hypothesis, ![X1:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X1 @ x) @ relation)|~((member449909584od_a_a @ (product_Pair_a_a @ X1 @ y) @ relation)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_8]), c_0_9])])). 0.15/0.51 thf(c_0_12, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ z @ y) @ relation), inference(split_conjunct,[status(thm)],[conj_1])). 0.15/0.51 thf(c_0_13, negated_conjecture, (~((member449909584od_a_a @ (product_Pair_a_a @ x @ z) @ relation))|~((member449909584od_a_a @ (product_Pair_a_a @ z @ x) @ relation))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.15/0.51 thf(c_0_14, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ z @ x) @ relation), inference(spm,[status(thm)],[c_0_11, c_0_12])). 0.15/0.51 thf(c_0_15, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ y @ z) @ relation), inference(split_conjunct,[status(thm)],[conj_1])). 0.15/0.51 thf(c_0_16, negated_conjecture, ~((member449909584od_a_a @ (product_Pair_a_a @ x @ z) @ relation)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])). 0.15/0.51 thf(c_0_17, hypothesis, ![X1:a]:(((member449909584od_a_a @ (product_Pair_a_a @ X1 @ z) @ relation)|~((member449909584od_a_a @ (product_Pair_a_a @ X1 @ y) @ relation)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_15]), c_0_9])])). 0.15/0.51 thf(c_0_18, hypothesis, (member449909584od_a_a @ (product_Pair_a_a @ x @ y) @ relation), inference(split_conjunct,[status(thm)],[conj_0])). 0.15/0.51 thf(c_0_19, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']). 0.15/0.51 # SZS output end CNFRefutation 0.15/0.51 # Parsed axioms : 510 0.15/0.51 # Removed by relevancy pruning/SinE : 318 0.15/0.51 # Initial clauses : 313 0.15/0.51 # Removed in clause preprocessing : 30 0.15/0.51 # Initial clauses in saturation : 283 0.15/0.51 # Processed clauses : 723 0.15/0.51 # ...of these trivial : 51 0.15/0.51 # ...subsumed : 91 0.15/0.51 # ...remaining for further processing : 581 0.15/0.51 # Other redundant clauses eliminated : 169 0.15/0.51 # Clauses deleted for lack of memory : 0 0.15/0.51 # Backward-subsumed : 0 0.15/0.51 # Backward-rewritten : 17 0.15/0.51 # Generated clauses : 1792 0.15/0.51 # ...of the previous two non-redundant : 1437 0.15/0.51 # ...aggressively subsumed : 0 0.15/0.51 # Contextual simplify-reflections : 0 0.15/0.51 # Paramodulations : 1527 0.15/0.51 # Factorizations : 2 0.15/0.51 # NegExts : 0 0.15/0.51 # Equation resolutions : 175 0.15/0.51 # Propositional unsat checks : 0 0.15/0.51 # Propositional check models : 0 0.15/0.51 # Propositional check unsatisfiable : 0 0.15/0.51 # Propositional clauses : 0 0.15/0.51 # Propositional clauses after purity: 0 0.15/0.51 # Propositional unsat core size : 0 0.15/0.51 # Propositional preprocessing time : 0.000 0.15/0.51 # Propositional encoding time : 0.000 0.15/0.51 # Propositional solver time : 0.000 0.15/0.51 # Success case prop preproc time : 0.000 0.15/0.51 # Success case prop encoding time : 0.000 0.15/0.51 # Success case prop solver time : 0.000 0.15/0.51 # Current number of processed clauses : 273 0.15/0.51 # Positive orientable unit clauses : 104 0.15/0.51 # Positive unorientable unit clauses: 0 0.15/0.51 # Negative unit clauses : 1 0.15/0.51 # Non-unit-clauses : 168 0.15/0.51 # Current number of unprocessed clauses: 1174 0.15/0.51 # ...number of literals in the above : 2849 0.15/0.51 # Current number of archived formulas : 0 0.15/0.51 # Current number of archived clauses : 245 0.15/0.51 # Clause-clause subsumption calls (NU) : 7363 0.15/0.51 # Rec. Clause-clause subsumption calls : 5686 0.15/0.51 # Non-unit clause-clause subsumptions : 93 0.15/0.51 # Unit Clause-clause subsumption calls : 279 0.15/0.51 # Rewrite failures with RHS unbound : 0 0.15/0.51 # BW rewrite match attempts : 610 0.15/0.51 # BW rewrite match successes : 17 0.15/0.51 # Condensation attempts : 723 0.15/0.51 # Condensation successes : 2 0.15/0.51 # Termbank termtop insertions : 47029 0.15/0.51 0.15/0.51 # ------------------------------------------------- 0.15/0.51 # User time : 0.085 s 0.15/0.51 # System time : 0.008 s 0.15/0.51 # Total time : 0.094 s 0.15/0.51 # Maximum resident set size: 4220 pages 0.15/0.51 0.15/0.51 # ------------------------------------------------- 0.15/0.51 # User time : 0.098 s 0.15/0.51 # System time : 0.011 s 0.15/0.51 # Total time : 0.110 s 0.15/0.51 # Maximum resident set size: 2688 pages 0.15/0.51 EOF