0.06/0.11 % Problem : SLH558^1 : TPTP v7.5.0. Released v7.5.0. 0.06/0.13 % Command : run_E %s %d THM 0.13/0.33 % Computer : n016.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 30 0.13/0.33 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 03:34:12 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.46 The problem SPC is TH0_THM_EQU_NAR 0.20/0.46 Running higher-order on 1 cores theorem proving 0.20/0.46 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 0.20/0.46 # Version: 3.0pre003-ho 0.37/0.61 # Preprocessing class: HSLMSMSMSSMNHFA. 0.37/0.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.37/0.61 # Starting full_lambda_6 with 30s (1) cores 0.37/0.61 # full_lambda_6 with pid 27011 completed with status 0 0.37/0.61 # Result found by full_lambda_6 0.37/0.61 # Preprocessing class: HSLMSMSMSSMNHFA. 0.37/0.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.37/0.61 # Starting full_lambda_6 with 30s (1) cores 0.37/0.61 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.37/0.61 # ...ProofStateSinE()=213/489 0.37/0.61 # Search class: HGHSM-FSLM31-DHFFFSBN 0.37/0.61 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.37/0.61 # Starting lpo8_lambda_fix with 17s (1) cores 0.37/0.61 # lpo8_lambda_fix with pid 27012 completed with status 0 0.37/0.61 # Result found by lpo8_lambda_fix 0.37/0.61 # Preprocessing class: HSLMSMSMSSMNHFA. 0.37/0.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.37/0.61 # Starting full_lambda_6 with 30s (1) cores 0.37/0.61 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 0.37/0.61 # ...ProofStateSinE()=213/489 0.37/0.61 # Search class: HGHSM-FSLM31-DHFFFSBN 0.37/0.61 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.37/0.61 # Starting lpo8_lambda_fix with 17s (1) cores 0.37/0.61 # Preprocessing time : 0.006 s 0.37/0.61 # Presaturation interreduction done 0.37/0.61 0.37/0.61 # Proof found! 0.37/0.61 # SZS status Theorem 0.37/0.61 # SZS output start CNFRefutation 0.37/0.61 thf(decl_22, type, bNF_id652469519e_hf_o: (hF_Mirabelle_hf > hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_23, type, bNF_id1413820935_nat_o: (hF_Mirabelle_hf > nat > $o) > hF_Mirabelle_hf > nat > $o). 0.37/0.61 thf(decl_24, type, bNF_id2006437920e_hf_o: (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_25, type, bNF_id503983879e_hf_o: (nat > hF_Mirabelle_hf > $o) > nat > hF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_26, type, bNF_id_bnf_nat_nat_o: (nat > nat > $o) > nat > nat > $o). 0.37/0.61 thf(decl_27, type, bNF_id_bnf_nat_o: (nat > $o) > nat > $o). 0.37/0.61 thf(decl_28, type, bNF_id_bnf_nat: nat > nat). 0.37/0.61 thf(decl_29, type, cofini170023627lle_hf: filter988478491lle_hf). 0.37/0.61 thf(decl_30, type, cofinite_nat: filter_nat). 0.37/0.61 thf(decl_31, type, filter2134271953hf_nat: (hF_Mirabelle_hf > nat) > filter_nat > filter988478491lle_hf). 0.37/0.61 thf(decl_32, type, filter101499601lle_hf: (nat > hF_Mirabelle_hf) > filter988478491lle_hf > filter_nat). 0.37/0.61 thf(decl_33, type, filtercomap_nat_nat: (nat > nat) > filter_nat > filter_nat). 0.37/0.61 thf(decl_34, type, finite586181922lle_hf: set_HF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_35, type, finite_finite_nat: set_nat > $o). 0.37/0.61 thf(decl_36, type, finite2132094322lle_hf: set_op1429535761lle_hf > $o). 0.37/0.61 thf(decl_37, type, finite38886455on_nat: set_option_nat > $o). 0.37/0.61 thf(decl_38, type, finite497359293lle_hf: set_Pr474332380lle_hf > $o). 0.37/0.61 thf(decl_39, type, finite1813720933hf_nat: set_Pr2031080860hf_nat > $o). 0.37/0.61 thf(decl_40, type, finite534397157lle_hf: set_Pr1532897052lle_hf > $o). 0.37/0.61 thf(decl_41, type, finite772653738at_nat: set_Pr1986765409at_nat > $o). 0.37/0.61 thf(decl_42, type, finite1450550360lle_hf: set_se933006839lle_hf > $o). 0.37/0.61 thf(decl_43, type, finite2012248349et_nat: set_set_nat > $o). 0.37/0.61 thf(decl_44, type, finite1905915217lle_hf: set_Su1421584776lle_hf > $o). 0.37/0.61 thf(decl_45, type, finite169326289hf_nat: set_Su879818224hf_nat > $o). 0.37/0.61 thf(decl_46, type, finite1037486161lle_hf: set_Su381634416lle_hf > $o). 0.37/0.61 thf(decl_47, type, finite1822766614at_nat: set_Sum_sum_nat_nat > $o). 0.37/0.61 thf(decl_48, type, swap_H507365795hf_nat: hF_Mirabelle_hf > hF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_49, type, swap_n622077091lle_hf: nat > nat > (nat > hF_Mirabelle_hf) > nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_50, type, swap_nat_nat: nat > nat > (nat > nat) > nat > nat). 0.37/0.61 thf(decl_51, type, zero_z189798548lle_hf: hF_Mirabelle_hf). 0.37/0.61 thf(decl_52, type, zero_zero_nat: nat). 0.37/0.61 thf(decl_53, type, hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_54, type, hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_55, type, hF_Mirabelle_Rep_hf: hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_56, type, hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_57, type, hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_58, type, hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_59, type, nat_set_decode: nat > set_nat). 0.37/0.61 thf(decl_60, type, nat_set_encode: set_nat > nat). 0.37/0.61 thf(decl_61, type, nat_triangle: nat > nat). 0.37/0.61 thf(decl_62, type, none_HF_Mirabelle_hf: option625818971lle_hf). 0.37/0.61 thf(decl_63, type, none_nat: option_nat). 0.37/0.61 thf(decl_64, type, some_HF_Mirabelle_hf: hF_Mirabelle_hf > option625818971lle_hf). 0.37/0.61 thf(decl_65, type, some_nat: nat > option_nat). 0.37/0.61 thf(decl_66, type, set_op1189390205lle_hf: option625818971lle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_67, type, set_option_nat2: option_nat > set_nat). 0.37/0.61 thf(decl_68, type, these_183305998lle_hf: set_op1429535761lle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_69, type, these_nat: set_option_nat > set_nat). 0.37/0.61 thf(decl_70, type, bot_bo1263054448e_hf_o: hF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_71, type, bot_bot_nat_o: nat > $o). 0.37/0.61 thf(decl_72, type, bot_bo1467106479lle_hf: filter988478491lle_hf). 0.37/0.61 thf(decl_73, type, bot_bot_filter_nat: filter_nat). 0.37/0.61 thf(decl_74, type, bot_bot_nat: nat). 0.37/0.61 thf(decl_75, type, bot_bo53200981lle_hf: set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_76, type, bot_bot_set_nat: set_nat). 0.37/0.61 thf(decl_77, type, bot_bo1018164389lle_hf: set_op1429535761lle_hf). 0.37/0.61 thf(decl_78, type, bot_bo1660197098on_nat: set_option_nat). 0.37/0.61 thf(decl_79, type, bot_bo2093393035lle_hf: set_se933006839lle_hf). 0.37/0.61 thf(decl_80, type, bot_bot_set_set_nat: set_set_nat). 0.37/0.61 thf(decl_81, type, order_769474267at_nat: (nat > nat) > $o). 0.37/0.61 thf(decl_82, type, top_to22270292e_hf_o: hF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_83, type, top_top_nat_o: nat > $o). 0.37/0.61 thf(decl_84, type, top_to489427057lle_hf: set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_85, type, top_top_set_nat: set_nat). 0.37/0.61 thf(decl_86, type, top_to1209000641lle_hf: set_op1429535761lle_hf). 0.37/0.61 thf(decl_87, type, top_to1145316102on_nat: set_option_nat). 0.37/0.61 thf(decl_88, type, top_to935115660lle_hf: set_Pr474332380lle_hf). 0.37/0.61 thf(decl_89, type, top_to1973029612hf_nat: set_Pr2031080860hf_nat). 0.37/0.61 thf(decl_90, type, top_to1474845804lle_hf: set_Pr1532897052lle_hf). 0.37/0.61 thf(decl_91, type, top_to1555900337at_nat: set_Pr1986765409at_nat). 0.37/0.61 thf(decl_92, type, top_to1538817191lle_hf: set_se933006839lle_hf). 0.37/0.61 thf(decl_93, type, top_top_set_set_nat: set_set_nat). 0.37/0.61 thf(decl_94, type, top_to1276202712lle_hf: set_Su1421584776lle_hf). 0.37/0.61 thf(decl_95, type, top_to249109664hf_nat: set_Su879818224hf_nat). 0.37/0.61 thf(decl_96, type, top_to1898409504lle_hf: set_Su381634416lle_hf). 0.37/0.61 thf(decl_97, type, top_to254700901at_nat: set_Sum_sum_nat_nat). 0.37/0.61 thf(decl_98, type, collec2046588256lle_hf: (hF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_99, type, collect_nat: (nat > $o) > set_nat). 0.37/0.61 thf(decl_100, type, pow_HF_Mirabelle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf). 0.37/0.61 thf(decl_101, type, pow_nat: set_nat > set_set_nat). 0.37/0.61 thf(decl_102, type, image_1743964010lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_103, type, image_131453538hf_nat: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > set_nat). 0.37/0.61 thf(decl_104, type, image_1885977008lle_hf: (hF_Mirabelle_hf > option625818971lle_hf) > set_HF_Mirabelle_hf > set_op1429535761lle_hf). 0.37/0.61 thf(decl_105, type, image_246164834lle_hf: (nat > hF_Mirabelle_hf) > set_nat > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_106, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.37/0.61 thf(decl_107, type, image_nat_option_nat: (nat > option_nat) > set_nat > set_option_nat). 0.37/0.61 thf(decl_108, type, image_1072955726et_nat: (set_HF_Mirabelle_hf > set_nat) > set_se933006839lle_hf > set_set_nat). 0.37/0.61 thf(decl_109, type, image_439046734lle_hf: (set_nat > set_HF_Mirabelle_hf) > set_set_nat > set_se933006839lle_hf). 0.37/0.61 thf(decl_110, type, insert9649339lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_111, type, insert_nat: nat > set_nat > set_nat). 0.37/0.61 thf(decl_112, type, insert1815946123lle_hf: option625818971lle_hf > set_op1429535761lle_hf > set_op1429535761lle_hf). 0.37/0.61 thf(decl_113, type, insert_option_nat: option_nat > set_option_nat > set_option_nat). 0.37/0.61 thf(decl_114, type, insert1636143089lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > set_se933006839lle_hf). 0.37/0.61 thf(decl_115, type, insert_set_nat: set_nat > set_set_nat > set_set_nat). 0.37/0.61 thf(decl_116, type, is_emp566801209lle_hf: set_HF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_117, type, is_empty_nat: set_nat > $o). 0.37/0.61 thf(decl_118, type, is_sin1448700567lle_hf: set_HF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_119, type, is_singleton_nat: set_nat > $o). 0.37/0.61 thf(decl_120, type, the_el1104322134lle_hf: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_121, type, the_elem_nat: set_nat > nat). 0.37/0.61 thf(decl_122, type, vimage1766192692lle_hf: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_123, type, vimage2004161816hf_nat: (hF_Mirabelle_hf > nat) > set_nat > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_124, type, vimage2118873112lle_hf: (nat > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > set_nat). 0.37/0.61 thf(decl_125, type, vimage_nat_nat: (nat > nat) > set_nat > set_nat). 0.37/0.61 thf(decl_126, type, type_d1794767497hf_nat: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > $o). 0.37/0.61 thf(decl_127, type, type_d1909478793lle_hf: (nat > hF_Mirabelle_hf) > (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_128, type, type_d1067473102at_nat: (nat > nat) > (nat > nat) > set_nat > $o). 0.37/0.61 thf(decl_129, type, member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o). 0.37/0.61 thf(decl_130, type, member_nat: nat > set_nat > $o). 0.37/0.61 thf(decl_131, type, member1783126130lle_hf: option625818971lle_hf > set_op1429535761lle_hf > $o). 0.37/0.61 thf(decl_132, type, member_option_nat: option_nat > set_option_nat > $o). 0.37/0.61 thf(decl_133, type, member1490636632lle_hf: set_HF_Mirabelle_hf > set_se933006839lle_hf > $o). 0.37/0.61 thf(decl_134, type, member_set_nat: set_nat > set_set_nat > $o). 0.37/0.61 thf(decl_135, type, a: hF_Mirabelle_hf). 0.37/0.61 thf(decl_136, type, b: hF_Mirabelle_hf). 0.37/0.61 thf(decl_137, type, esk1_1: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_138, type, esk2_1: hF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_139, type, esk3_3: (nat > hF_Mirabelle_hf) > set_nat > (hF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_140, type, esk4_3: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > (nat > $o) > nat). 0.37/0.61 thf(decl_141, type, esk5_4: set_nat > set_nat > (nat > hF_Mirabelle_hf) > (nat > hF_Mirabelle_hf) > nat). 0.37/0.61 thf(decl_142, type, esk6_3: (nat > hF_Mirabelle_hf) > set_nat > (hF_Mirabelle_hf > $o) > nat). 0.37/0.61 thf(decl_143, type, esk7_3: (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > (nat > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_144, type, esk8_3: nat > (hF_Mirabelle_hf > nat) > set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_145, type, esk9_3: hF_Mirabelle_hf > (nat > hF_Mirabelle_hf) > set_nat > nat). 0.37/0.61 thf(decl_146, type, esk10_0: nat). 0.37/0.61 thf(decl_147, type, esk11_1: set_nat > nat). 0.37/0.61 thf(decl_148, type, esk12_4: set_nat > set_nat > (nat > hF_Mirabelle_hf) > (nat > hF_Mirabelle_hf) > nat). 0.37/0.61 thf(decl_149, type, esk13_4: set_nat > set_nat > (nat > hF_Mirabelle_hf) > (nat > hF_Mirabelle_hf) > nat). 0.37/0.61 thf(decl_150, type, esk14_1: set_nat > nat). 0.37/0.61 thf(decl_151, type, esk15_2: nat > set_nat > set_nat). 0.37/0.61 thf(decl_152, type, esk16_4: nat > set_nat > nat > set_nat > set_nat). 0.37/0.61 thf(decl_153, type, esk17_2: nat > set_nat > set_nat). 0.37/0.61 thf(decl_154, type, esk18_1: set_nat > nat). 0.37/0.61 thf(decl_155, type, esk19_1: set_nat > nat). 0.37/0.61 thf(decl_156, type, esk20_1: set_nat > nat). 0.37/0.61 thf(decl_157, type, esk21_1: set_nat > set_nat). 0.37/0.61 thf(decl_158, type, esk22_1: set_nat > nat). 0.37/0.61 thf(decl_159, type, esk23_1: (set_nat > $o) > set_nat). 0.37/0.61 thf(decl_160, type, esk24_1: (set_nat > $o) > nat). 0.37/0.61 thf(decl_161, type, esk25_1: (set_nat > $o) > set_nat). 0.37/0.61 thf(decl_162, type, esk26_2: set_nat > (set_nat > $o) > nat). 0.37/0.61 thf(decl_163, type, esk27_2: set_nat > (set_nat > $o) > nat). 0.37/0.61 thf(decl_164, type, esk28_2: set_nat > (set_nat > $o) > set_nat). 0.37/0.61 thf(decl_165, type, esk29_2: set_nat > (set_nat > $o) > nat). 0.37/0.61 thf(decl_166, type, esk30_2: set_nat > (set_nat > $o) > set_nat). 0.37/0.61 thf(decl_167, type, esk31_1: nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_168, type, esk32_2: nat > (nat > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_169, type, esk33_4: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_170, type, esk34_0: hF_Mirabelle_hf). 0.37/0.61 thf(decl_171, type, esk35_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_172, type, esk36_4: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_173, type, esk37_4: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > (hF_Mirabelle_hf > nat) > (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_174, type, esk38_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_175, type, esk39_2: hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_176, type, esk40_4: hF_Mirabelle_hf > set_HF_Mirabelle_hf > hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_177, type, esk41_2: hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_178, type, esk42_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_179, type, esk43_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_180, type, esk44_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_181, type, esk45_1: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_182, type, esk46_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_183, type, esk47_1: (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_184, type, esk48_1: (set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_185, type, esk49_1: (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_186, type, esk50_2: set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_187, type, esk51_2: set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_188, type, esk52_2: set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_189, type, esk53_2: set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_190, type, esk54_2: set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_191, type, esk55_2: (hF_Mirabelle_hf > nat) > nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_192, type, esk56_2: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_193, type, esk57_2: (nat > nat) > nat > nat). 0.37/0.61 thf(decl_194, type, esk58_2: (hF_Mirabelle_hf > nat) > nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_195, type, esk59_2: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_196, type, esk60_2: (nat > nat) > nat > nat). 0.37/0.61 thf(decl_197, type, esk61_2: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > nat). 0.37/0.61 thf(decl_198, type, esk62_2: (nat > hF_Mirabelle_hf) > (hF_Mirabelle_hf > nat) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_199, type, esk63_2: (nat > nat) > (nat > nat) > nat). 0.37/0.61 thf(decl_200, type, esk64_2: (hF_Mirabelle_hf > nat) > nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_201, type, esk65_1: (hF_Mirabelle_hf > nat) > nat). 0.37/0.61 thf(decl_202, type, esk66_2: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_203, type, esk67_1: (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_204, type, esk68_2: (nat > nat) > nat > nat). 0.37/0.61 thf(decl_205, type, esk69_1: (nat > nat) > nat). 0.37/0.61 thf(decl_206, type, esk70_2: set_nat > (set_nat > $o) > set_nat). 0.37/0.61 thf(decl_207, type, esk71_2: set_nat > (set_nat > $o) > nat). 0.37/0.61 thf(decl_208, type, esk72_1: set_nat > set_nat). 0.37/0.61 thf(decl_209, type, esk73_1: set_nat > nat). 0.37/0.61 thf(decl_210, type, esk74_2: set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_211, type, esk75_2: set_HF_Mirabelle_hf > (set_HF_Mirabelle_hf > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_212, type, esk76_1: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_213, type, esk77_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_214, type, esk78_1: hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_215, type, esk79_1: (hF_Mirabelle_hf > $o) > nat). 0.37/0.61 thf(decl_216, type, esk80_2: (hF_Mirabelle_hf > nat) > (nat > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_217, type, esk81_2: (hF_Mirabelle_hf > nat) > (nat > $o) > nat). 0.37/0.61 thf(decl_218, type, esk82_5: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > nat > (nat > $o) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_219, type, esk83_4: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > (hF_Mirabelle_hf > $o) > nat). 0.37/0.61 thf(decl_220, type, esk84_4: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_221, type, esk85_4: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_222, type, esk86_2: (hF_Mirabelle_hf > nat) > set_nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_223, type, esk87_3: (hF_Mirabelle_hf > nat) > set_nat > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf). 0.37/0.61 thf(decl_224, type, esk88_3: (hF_Mirabelle_hf > nat) > set_nat > (nat > hF_Mirabelle_hf) > nat). 0.37/0.61 thf(decl_225, type, esk89_3: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > hF_Mirabelle_hf > nat). 0.37/0.61 thf(decl_226, type, esk90_2: (nat > nat) > set_nat > nat). 0.37/0.61 thf(decl_227, type, esk91_2: (hF_Mirabelle_hf > hF_Mirabelle_hf) > set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_228, type, esk92_2: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_229, type, esk93_2: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_230, type, esk94_1: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf). 0.37/0.61 thf(decl_231, type, esk95_1: set_HF_Mirabelle_hf > hF_Mirabelle_hf). 0.37/0.61 thf(decl_232, type, esk96_1: set_nat > set_nat). 0.37/0.61 thf(decl_233, type, esk97_1: set_nat > nat). 0.37/0.61 thf(decl_234, type, esk98_3: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_235, type, esk99_3: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_236, type, esk100_3: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > nat). 0.37/0.61 thf(decl_237, type, esk101_3: (nat > hF_Mirabelle_hf) > (hF_Mirabelle_hf > nat) > set_nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_238, type, esk102_3: (nat > hF_Mirabelle_hf) > (hF_Mirabelle_hf > nat) > set_nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_239, type, esk103_3: (nat > hF_Mirabelle_hf) > (hF_Mirabelle_hf > nat) > set_nat > nat). 0.37/0.61 thf(decl_240, type, esk104_3: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_241, type, esk105_3: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > hF_Mirabelle_hf). 0.37/0.61 thf(decl_242, type, esk106_3: (hF_Mirabelle_hf > nat) > (nat > hF_Mirabelle_hf) > set_nat > nat). 0.37/0.61 thf(fact_11_hfset__def, axiom, ((hF_Mirabelle_hfset)=(^[X3:hF_Mirabelle_hf]:(image_246164834lle_hf @ hF_Mirabelle_Abs_hf @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_11_hfset__def)). 0.37/0.61 thf(fact_3_hmem__def, axiom, ((hF_Mirabelle_hmem)=(^[X3:hF_Mirabelle_hf, X4:hF_Mirabelle_hf]:((member1367349282lle_hf @ X3 @ (hF_Mirabelle_hfset @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3_hmem__def)). 0.37/0.61 thf(fact_60_imageI, axiom, ![X109:nat, X28:set_nat, X110:nat > hF_Mirabelle_hf]:(((member_nat @ X109 @ X28)=>(member1367349282lle_hf @ (X110 @ X109) @ (image_246164834lle_hf @ X110 @ X28)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_60_imageI)). 0.37/0.61 thf(conj_1, conjecture, ~((member_nat @ (hF_Mirabelle_Rep_hf @ a) @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ b)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_1)). 0.37/0.61 thf(fact_4_Rep__hf__inverse, axiom, ![X6:hF_Mirabelle_hf]:(((hF_Mirabelle_Abs_hf @ (hF_Mirabelle_Rep_hf @ X6))=(X6))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_4_Rep__hf__inverse)). 0.37/0.61 thf(conj_0, hypothesis, ~((hF_Mirabelle_hmem @ a @ b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.37/0.61 thf(c_0_6, plain, ((hF_Mirabelle_hfset)=(^[Z0:hF_Mirabelle_hf]:(image_246164834lle_hf @ hF_Mirabelle_Abs_hf @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ Z0))))), inference(fof_simplification,[status(thm)],[fact_11_hfset__def])). 0.37/0.61 thf(c_0_7, plain, ((hF_Mirabelle_hmem)=(^[Z0:hF_Mirabelle_hf, Z1:hF_Mirabelle_hf]:((member1367349282lle_hf @ Z0 @ (hF_Mirabelle_hfset @ Z1))))), inference(fof_simplification,[status(thm)],[fact_3_hmem__def])). 0.37/0.61 thf(c_0_8, plain, ((hF_Mirabelle_hfset)=(^[Z0:hF_Mirabelle_hf]:(image_246164834lle_hf @ hF_Mirabelle_Abs_hf @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ Z0))))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.37/0.61 thf(c_0_9, plain, ((hF_Mirabelle_hmem)=(^[Z0:hF_Mirabelle_hf, Z1:hF_Mirabelle_hf]:((member1367349282lle_hf @ Z0 @ (hF_Mirabelle_hfset @ Z1))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.37/0.61 thf(c_0_10, plain, ![X1:hF_Mirabelle_hf]:(((hF_Mirabelle_hfset @ X1)=(image_246164834lle_hf @ hF_Mirabelle_Abs_hf @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ X1))))), inference(arg_cong,[status(thm)],[c_0_8])). 0.37/0.61 thf(c_0_11, plain, ![X1110:nat, X1111:set_nat, X1112:nat > hF_Mirabelle_hf]:((~(member_nat @ X1110 @ X1111)|(member1367349282lle_hf @ (X1112 @ X1110) @ (image_246164834lle_hf @ X1112 @ X1111)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_60_imageI])])). 0.37/0.61 thf(c_0_12, negated_conjecture, (member_nat @ (hF_Mirabelle_Rep_hf @ a) @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ b))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])). 0.37/0.61 thf(c_0_13, plain, ![X1599:hF_Mirabelle_hf, X1600:hF_Mirabelle_hf]:(((member1367349282lle_hf @ X1599 @ (image_246164834lle_hf @ hF_Mirabelle_Abs_hf @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ X1600))))<=>(hF_Mirabelle_hmem @ X1599 @ X1600))), inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_9]), c_0_10])). 0.37/0.61 thf(c_0_14, plain, ![X11:nat, X29:nat > hF_Mirabelle_hf, X28:set_nat]:(((member1367349282lle_hf @ (X29 @ X11) @ (image_246164834lle_hf @ X29 @ X28))|~((member_nat @ X11 @ X28)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.37/0.61 thf(c_0_15, negated_conjecture, (member_nat @ (hF_Mirabelle_Rep_hf @ a) @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ b))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.37/0.61 thf(c_0_16, plain, ![X1208:hF_Mirabelle_hf]:(((hF_Mirabelle_Abs_hf @ (hF_Mirabelle_Rep_hf @ X1208))=(X1208))), inference(variable_rename,[status(thm)],[fact_4_Rep__hf__inverse])). 0.37/0.61 thf(c_0_17, hypothesis, ~(hF_Mirabelle_hmem @ a @ b), inference(fof_simplification,[status(thm)],[conj_0])). 0.37/0.61 thf(c_0_18, plain, ![X1:hF_Mirabelle_hf, X2:hF_Mirabelle_hf]:(((hF_Mirabelle_hmem @ X1 @ X2)|~((member1367349282lle_hf @ X1 @ (image_246164834lle_hf @ hF_Mirabelle_Abs_hf @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ X2))))))), inference(dynamic cnf,[status(thm)],[c_0_13])). 0.37/0.61 thf(c_0_19, negated_conjecture, ![X29:nat > hF_Mirabelle_hf]:((member1367349282lle_hf @ (X29 @ (hF_Mirabelle_Rep_hf @ a)) @ (image_246164834lle_hf @ X29 @ (nat_set_decode @ (hF_Mirabelle_Rep_hf @ b))))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.37/0.61 thf(c_0_20, plain, ![X1:hF_Mirabelle_hf]:(((hF_Mirabelle_Abs_hf @ (hF_Mirabelle_Rep_hf @ X1))=(X1))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.37/0.61 thf(c_0_21, hypothesis, ~((hF_Mirabelle_hmem @ a @ b)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.37/0.61 thf(c_0_22, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21]), ['proof']). 0.37/0.61 # SZS output end CNFRefutation 0.37/0.61 # Parsed axioms : 489 0.37/0.61 # Removed by relevancy pruning/SinE : 276 0.37/0.61 # Initial clauses : 342 0.37/0.61 # Removed in clause preprocessing : 18 0.37/0.61 # Initial clauses in saturation : 324 0.37/0.61 # Processed clauses : 1239 0.37/0.61 # ...of these trivial : 24 0.37/0.61 # ...subsumed : 465 0.37/0.61 # ...remaining for further processing : 750 0.37/0.61 # Other redundant clauses eliminated : 124 0.37/0.61 # Clauses deleted for lack of memory : 0 0.37/0.61 # Backward-subsumed : 3 0.37/0.61 # Backward-rewritten : 32 0.37/0.61 # Generated clauses : 2182 0.37/0.61 # ...of the previous two non-redundant : 1841 0.37/0.61 # ...aggressively subsumed : 0 0.37/0.61 # Contextual simplify-reflections : 6 0.37/0.61 # Paramodulations : 1952 0.37/0.61 # Factorizations : 0 0.37/0.61 # NegExts : 0 0.37/0.61 # Equation resolutions : 139 0.37/0.61 # Propositional unsat checks : 0 0.37/0.61 # Propositional check models : 0 0.37/0.61 # Propositional check unsatisfiable : 0 0.37/0.61 # Propositional clauses : 0 0.37/0.61 # Propositional clauses after purity: 0 0.37/0.61 # Propositional unsat core size : 0 0.37/0.61 # Propositional preprocessing time : 0.000 0.37/0.61 # Propositional encoding time : 0.000 0.37/0.61 # Propositional solver time : 0.000 0.37/0.61 # Success case prop preproc time : 0.000 0.37/0.61 # Success case prop encoding time : 0.000 0.37/0.61 # Success case prop solver time : 0.000 0.37/0.61 # Current number of processed clauses : 399 0.37/0.61 # Positive orientable unit clauses : 82 0.37/0.61 # Positive unorientable unit clauses: 7 0.37/0.61 # Negative unit clauses : 45 0.37/0.61 # Non-unit-clauses : 265 0.37/0.61 # Current number of unprocessed clauses: 1151 0.37/0.61 # ...number of literals in the above : 3190 0.37/0.61 # Current number of archived formulas : 0 0.37/0.61 # Current number of archived clauses : 293 0.37/0.61 # Clause-clause subsumption calls (NU) : 15058 0.37/0.61 # Rec. Clause-clause subsumption calls : 9527 0.37/0.61 # Non-unit clause-clause subsumptions : 250 0.37/0.61 # Unit Clause-clause subsumption calls : 1280 0.37/0.61 # Rewrite failures with RHS unbound : 0 0.37/0.61 # BW rewrite match attempts : 76 0.37/0.61 # BW rewrite match successes : 50 0.37/0.61 # Condensation attempts : 1239 0.37/0.61 # Condensation successes : 21 0.37/0.61 # Termbank termtop insertions : 58103 0.37/0.61 0.37/0.61 # ------------------------------------------------- 0.37/0.61 # User time : 0.121 s 0.37/0.61 # System time : 0.010 s 0.37/0.61 # Total time : 0.131 s 0.37/0.61 # Maximum resident set size: 3828 pages 0.37/0.61 0.37/0.61 # ------------------------------------------------- 0.37/0.61 # User time : 0.135 s 0.37/0.61 # System time : 0.012 s 0.37/0.61 # Total time : 0.147 s 0.37/0.61 # Maximum resident set size: 2476 pages 0.37/0.61 EOF