0.12/0.12 % Problem : SLH675^1 : TPTP v7.5.0. Released v7.5.0. 0.12/0.13 % Command : run_E %s %d THM 0.13/0.35 % Computer : n020.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 30 0.13/0.35 % WCLimit : 30 0.13/0.35 % DateTime : Tue Aug 9 03:26:50 EDT 2022 0.13/0.35 % CPUTime : 0.19/0.48 The problem SPC is TH0_THM_EQU_NAR 0.19/0.48 Running higher-order on 1 cores theorem proving 0.19/0.48 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 0.19/0.48 # Version: 3.0pre003-ho 19.74/19.98 # Preprocessing class: HSLSSMSMSSLNSSA. 19.74/19.98 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 19.74/19.98 # Starting ehoh_best8 with 30s (1) cores 19.74/19.98 # ehoh_best8 with pid 3474 completed with status 0 19.74/19.98 # Result found by ehoh_best8 19.74/19.98 # Preprocessing class: HSLSSMSMSSLNSSA. 19.74/19.98 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 19.74/19.98 # Starting ehoh_best8 with 30s (1) cores 19.74/19.98 # No SInE strategy applied 19.74/19.98 # Search class: HGHSM-FSLM31-MSSFFSBN 19.74/19.98 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 19.74/19.98 # Starting new_ho_10_cnf2 with 17s (1) cores 19.74/19.98 # new_ho_10_cnf2 with pid 3475 completed with status 7 19.74/19.98 # Starting ehoh_best8 with 4s (1) cores 19.74/19.98 # ehoh_best8 with pid 3476 completed with status 0 19.74/19.98 # Result found by ehoh_best8 19.74/19.98 # Preprocessing class: HSLSSMSMSSLNSSA. 19.74/19.98 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 19.74/19.98 # Starting ehoh_best8 with 30s (1) cores 19.74/19.98 # No SInE strategy applied 19.74/19.98 # Search class: HGHSM-FSLM31-MSSFFSBN 19.74/19.98 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 19.74/19.98 # Starting new_ho_10_cnf2 with 17s (1) cores 19.74/19.98 # new_ho_10_cnf2 with pid 3475 completed with status 7 19.74/19.98 # Starting ehoh_best8 with 4s (1) cores 19.74/19.98 # Preprocessing time : 0.004 s 19.74/19.98 # Presaturation interreduction done 19.74/19.98 # SatCheck found unsatisfiable ground set 19.74/19.98 19.74/19.98 # Proof found! 19.74/19.98 # SZS status Theorem 19.74/19.98 # SZS output start CNFRefutation 19.74/19.98 thf(decl_22, type, elemen341675809l_real: real > real > set_real). 19.74/19.98 thf(decl_23, type, elemen154694473ball_a: a > real > set_a). 19.74/19.98 thf(decl_24, type, elemen905936771d_real: set_real > $o). 19.74/19.98 thf(decl_25, type, elemen470550119nded_a: set_a > $o). 19.74/19.98 thf(decl_26, type, elemen1485885025r_real: set_real > set_real). 19.74/19.98 thf(decl_27, type, elemen93512713tier_a: set_a > set_a). 19.74/19.98 thf(decl_28, type, minus_minus_a_o: (a > $o) > (a > $o) > a > $o). 19.74/19.98 thf(decl_29, type, minus_minus_real: real > real > real). 19.74/19.98 thf(decl_30, type, minus_minus_set_real: set_real > set_real > set_real). 19.74/19.98 thf(decl_31, type, minus_minus_set_a: set_a > set_a > set_a). 19.74/19.98 thf(decl_32, type, minus_minus_a: a > a > a). 19.74/19.98 thf(decl_33, type, one_one_real: real). 19.74/19.98 thf(decl_34, type, uminus_uminus_set_a: set_a > set_a). 19.74/19.98 thf(decl_35, type, zero_zero_real: real). 19.74/19.98 thf(decl_36, type, zero_zero_a: a). 19.74/19.98 thf(decl_37, type, inner_4346926r_real: real > real > real). 19.74/19.98 thf(decl_38, type, inner_1173012732nner_a: a > a > real). 19.74/19.98 thf(decl_39, type, inf_inf_set_real: set_real > set_real > set_real). 19.74/19.98 thf(decl_40, type, inf_inf_set_a: set_a > set_a > set_a). 19.74/19.98 thf(decl_41, type, sup_sup_set_real: set_real > set_real > set_real). 19.74/19.98 thf(decl_42, type, sup_sup_set_a: set_a > set_a > set_a). 19.74/19.98 thf(decl_43, type, line_o609262147t_real: real > real > set_real). 19.74/19.98 thf(decl_44, type, line_open_segment_a: a > a > set_a). 19.74/19.98 thf(decl_45, type, bot_bot_set_real: set_real). 19.74/19.98 thf(decl_46, type, bot_bot_set_a: set_a). 19.74/19.98 thf(decl_47, type, ord_less_real: real > real > $o). 19.74/19.98 thf(decl_48, type, ord_less_set_real: set_real > set_real > $o). 19.74/19.98 thf(decl_49, type, ord_less_set_a: set_a > set_a > $o). 19.74/19.98 thf(decl_50, type, ord_less_a: a > a > $o). 19.74/19.98 thf(decl_51, type, ord_less_eq_a_o: (a > $o) > (a > $o) > $o). 19.74/19.98 thf(decl_52, type, ord_less_eq_real: real > real > $o). 19.74/19.98 thf(decl_53, type, ord_less_eq_set_real: set_real > set_real > $o). 19.74/19.98 thf(decl_54, type, ord_less_eq_set_a: set_a > set_a > $o). 19.74/19.98 thf(decl_55, type, ord_less_eq_a: a > a > $o). 19.74/19.98 thf(decl_56, type, path_inside_real: set_real > set_real). 19.74/19.98 thf(decl_57, type, path_inside_a: set_a > set_a). 19.74/19.98 thf(decl_58, type, path_outside_real: set_real > set_real). 19.74/19.98 thf(decl_59, type, path_outside_a: set_a > set_a). 19.74/19.98 thf(decl_60, type, path_path_image_real: (real > real) > set_real). 19.74/19.98 thf(decl_61, type, path_path_image_a: (real > a) > set_a). 19.74/19.98 thf(decl_62, type, poinca659159244_rot_a: a > a). 19.74/19.98 thf(decl_63, type, collect_real: (real > $o) > set_real). 19.74/19.98 thf(decl_64, type, collect_a: (a > $o) > set_a). 19.74/19.98 thf(decl_65, type, topolo1276428101open_a: set_a > $o). 19.74/19.98 thf(decl_66, type, topolo2036626069d_real: set_real > $o). 19.74/19.98 thf(decl_67, type, topolo1356303061cted_a: set_a > $o). 19.74/19.98 thf(decl_68, type, member_real: real > set_real > $o). 19.74/19.98 thf(decl_69, type, member_a: a > set_a > $o). 19.74/19.98 thf(decl_70, type, j1: real > a). 19.74/19.98 thf(decl_71, type, j2: real > a). 19.74/19.98 thf(decl_72, type, j: real > a). 19.74/19.98 thf(decl_73, type, a2: a). 19.74/19.98 thf(decl_74, type, b: a). 19.74/19.98 thf(decl_75, type, d: real). 19.74/19.98 thf(decl_76, type, i1: real). 19.74/19.98 thf(decl_77, type, i2: real). 19.74/19.98 thf(decl_78, type, inner: set_a). 19.74/19.98 thf(decl_79, type, n: a). 19.74/19.98 thf(decl_80, type, outer: set_a). 19.74/19.98 thf(decl_81, type, r1: set_a). 19.74/19.98 thf(decl_82, type, r2: set_a). 19.74/19.98 thf(decl_83, type, rp: a). 19.74/19.98 thf(decl_84, type, thesis: $o). 19.74/19.98 thf(decl_85, type, esk1_2: set_real > (real > $o) > real). 19.74/19.98 thf(decl_86, type, esk2_2: set_a > (a > $o) > a). 19.74/19.98 thf(decl_87, type, esk3_0: real). 19.74/19.98 thf(decl_88, type, esk4_1: a > a). 19.74/19.98 thf(decl_89, type, esk5_1: real > real). 19.74/19.98 thf(decl_90, type, esk6_3: a > a > a > real). 19.74/19.98 thf(decl_91, type, esk7_2: (real > $o) > (real > $o) > real). 19.74/19.98 thf(decl_92, type, esk8_2: (a > $o) > (a > $o) > a). 19.74/19.98 thf(decl_93, type, esk9_2: set_a > a > real). 19.74/19.98 thf(decl_94, type, esk10_2: set_a > a > real). 19.74/19.98 thf(decl_95, type, esk11_2: set_a > a > real). 19.74/19.98 thf(decl_96, type, esk12_1: set_a > a). 19.74/19.98 thf(decl_97, type, esk13_1: set_a > a). 19.74/19.98 thf(decl_98, type, esk14_2: set_a > a > real). 19.74/19.98 thf(decl_99, type, esk15_2: a > real > a). 19.74/19.98 thf(decl_100, type, esk16_2: real > real > real). 19.74/19.98 thf(decl_101, type, esk17_2: set_a > set_a > a). 19.74/19.98 thf(decl_102, type, esk18_1: (real > $o) > real). 19.74/19.98 thf(decl_103, type, esk19_1: (a > $o) > a). 19.74/19.98 thf(decl_104, type, esk20_1: (real > $o) > real). 19.74/19.98 thf(decl_105, type, esk21_1: (a > $o) > a). 19.74/19.98 thf(decl_106, type, esk22_1: set_real > real). 19.74/19.98 thf(decl_107, type, esk23_1: set_a > a). 19.74/19.98 thf(decl_108, type, esk24_3: set_a > set_a > set_a > set_a). 19.74/19.98 thf(decl_109, type, esk25_3: set_a > set_a > set_a > set_a). 19.74/19.98 thf(decl_110, type, esk26_3: set_a > set_a > (a > $o) > a). 19.74/19.98 thf(decl_111, type, esk27_3: set_a > set_a > (a > $o) > a). 19.74/19.98 thf(decl_112, type, esk28_3: set_a > set_a > (a > $o) > a). 19.74/19.98 thf(decl_113, type, esk29_3: set_a > set_a > (a > $o) > a). 19.74/19.98 thf(decl_114, type, esk30_3: set_a > set_a > (a > $o) > a). 19.74/19.98 thf(decl_115, type, esk31_3: set_a > set_a > (a > $o) > a). 19.74/19.98 thf(decl_116, type, esk32_2: (real > $o) > (real > $o) > real). 19.74/19.98 thf(decl_117, type, esk33_2: (a > $o) > (a > $o) > a). 19.74/19.98 thf(decl_118, type, esk34_2: (real > $o) > (real > $o) > real). 19.74/19.98 thf(decl_119, type, esk35_2: (a > $o) > (a > $o) > a). 19.74/19.98 thf(decl_120, type, esk36_2: set_a > set_a > a). 19.74/19.98 thf(decl_121, type, esk37_2: set_a > set_a > a). 19.74/19.98 thf(decl_122, type, esk38_1: set_real > real). 19.74/19.98 thf(decl_123, type, esk39_1: set_a > a). 19.74/19.98 thf(decl_124, type, esk40_1: set_real > real). 19.74/19.98 thf(decl_125, type, esk41_1: set_a > a). 19.74/19.98 thf(decl_126, type, esk42_2: set_a > set_a > a). 19.74/19.98 thf(decl_127, type, esk43_4: set_a > set_a > (a > $o) > (a > $o) > a). 19.74/19.98 thf(decl_128, type, esk44_2: set_a > set_a > a). 19.74/19.98 thf(decl_129, type, esk45_2: set_a > set_a > a). 19.74/19.98 thf(decl_130, type, epred1_0: a > $o). 19.74/19.98 thf(decl_131, type, epred2_0: a > $o). 19.74/19.98 thf(decl_132, type, epred3_2: a > a > a > $o). 19.74/19.98 thf(decl_133, type, epred4_1: set_real > real > $o). 19.74/19.98 thf(decl_134, type, epred5_1: set_a > a > $o). 19.74/19.98 thf(decl_135, type, epred6_2: real > a > a > $o). 19.74/19.98 thf(decl_136, type, epred7_2: real > real > real > $o). 19.74/19.98 thf(decl_137, type, epred8_2: a > real > a > $o). 19.74/19.98 thf(decl_138, type, epred9_2: real > a > a > $o). 19.74/19.98 thf(decl_139, type, epred10_2: real > a > a > $o). 19.74/19.98 thf(decl_140, type, epred11_2: real > real > real > $o). 19.74/19.98 thf(decl_141, type, epred12_2: real > real > real > $o). 19.74/19.98 thf(decl_142, type, epred13_2: real > real > real > $o). 19.74/19.98 thf(decl_143, type, epred14_2: a > real > a > $o). 19.74/19.98 thf(decl_144, type, epred15_2: real > real > real > $o). 19.74/19.98 thf(decl_145, type, epred16_2: set_real > set_real > real > $o). 19.74/19.98 thf(decl_146, type, epred17_2: set_a > set_a > a > $o). 19.74/19.98 thf(decl_147, type, epred18_2: (real > $o) > (real > $o) > real > $o). 19.74/19.98 thf(decl_148, type, epred19_2: (a > $o) > (a > $o) > a > $o). 19.74/19.98 thf(decl_149, type, epred20_2: (a > $o) > set_a > a > $o). 19.74/19.98 thf(decl_150, type, epred21_0: a > $o). 19.74/19.98 thf(decl_151, type, epred22_2: (a > $o) > (a > $o) > a > $o). 19.74/19.98 thf(decl_152, type, epred23_2: set_a > set_a > a > $o). 19.74/19.98 thf(decl_153, type, epred24_2: set_a > set_a > a > $o). 19.74/19.98 thf(decl_154, type, esk46_1: set_a > a). 19.74/19.98 thf(decl_155, type, esk47_0: real). 19.74/19.98 thf(decl_156, type, esk48_2: real > a > a). 19.74/19.98 thf(decl_157, type, esk49_2: real > a > a). 19.74/19.98 thf(decl_158, type, esk50_2: real > a > a). 19.74/19.98 thf(decl_159, type, esk51_2: a > real > a). 19.74/19.98 thf(decl_160, type, esk52_2: a > real > a). 19.74/19.98 thf(decl_161, type, esk53_2: real > a > a). 19.74/19.98 thf(decl_162, type, esk54_2: real > a > a). 19.74/19.98 thf(decl_163, type, esk55_2: real > a > a). 19.74/19.98 thf(decl_164, type, esk56_2: a > real > a). 19.74/19.98 thf(decl_165, type, esk57_2: a > real > a). 19.74/19.98 thf(decl_166, type, esk58_2: real > a > a). 19.74/19.98 thf(decl_167, type, esk59_2: real > a > a). 19.74/19.98 thf(decl_168, type, esk60_2: a > real > a). 19.74/19.98 thf(decl_169, type, esk61_2: a > real > a). 19.74/19.98 thf(decl_170, type, esk62_2: real > real > real). 19.74/19.98 thf(decl_171, type, esk63_2: real > real > real). 19.74/19.98 thf(decl_172, type, esk64_2: real > real > real). 19.74/19.98 thf(decl_173, type, esk65_2: real > real > real). 19.74/19.98 thf(decl_174, type, esk66_2: real > real > real). 19.74/19.98 thf(decl_175, type, esk67_0: real). 19.74/19.98 thf(decl_176, type, esk68_0: real). 19.74/19.98 thf(decl_177, type, esk69_2: set_a > set_a > a). 19.74/19.98 thf(decl_178, type, esk70_2: set_a > set_a > a). 19.74/19.98 thf(decl_179, type, esk71_2: set_a > set_a > a). 19.74/19.98 thf(decl_180, type, esk72_2: real > a > a). 19.74/19.98 thf(decl_181, type, esk73_2: real > a > a). 19.74/19.98 thf(decl_182, type, esk74_2: a > real > a). 19.74/19.98 thf(decl_183, type, esk75_2: a > real > a). 19.74/19.98 thf(decl_184, type, esk76_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_185, type, esk77_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_186, type, esk78_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_187, type, esk79_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_188, type, esk80_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_189, type, esk81_3: set_real > set_real > set_real > real). 19.74/19.98 thf(decl_190, type, esk82_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_191, type, esk83_2: real > real > real). 19.74/19.98 thf(decl_192, type, esk84_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_193, type, esk85_2: real > real > real). 19.74/19.98 thf(decl_194, type, esk86_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_195, type, esk87_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_196, type, esk88_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_197, type, esk89_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_198, type, esk90_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_199, type, esk91_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_200, type, esk92_3: set_a > set_a > set_a > a). 19.74/19.98 thf(decl_201, type, esk93_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_202, type, esk94_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_203, type, esk95_2: real > real > real). 19.74/19.98 thf(decl_204, type, esk96_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_205, type, esk97_2: real > real > real). 19.74/19.98 thf(decl_206, type, esk98_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_207, type, esk99_3: set_a > set_a > set_a > a). 19.74/19.98 thf(decl_208, type, esk100_4: set_a > set_a > set_a > set_a > a). 19.74/19.98 thf(decl_209, type, esk101_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_210, type, esk102_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_211, type, esk103_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_212, type, esk104_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_213, type, esk105_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_214, type, esk106_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_215, type, esk107_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_216, type, esk108_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_217, type, esk109_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_218, type, esk110_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_219, type, esk111_3: set_a > set_a > set_a > a). 19.74/19.98 thf(decl_220, type, esk112_4: set_a > set_a > set_a > set_a > a). 19.74/19.98 thf(decl_221, type, esk113_4: set_a > set_a > set_a > set_a > a). 19.74/19.98 thf(decl_222, type, esk114_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_223, type, esk115_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_224, type, esk116_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_225, type, esk117_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_226, type, esk118_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_227, type, esk119_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_228, type, esk120_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_229, type, esk121_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_230, type, esk122_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_231, type, esk123_0: real). 19.74/19.98 thf(decl_232, type, esk124_3: (real > $o) > set_real > (real > $o) > real). 19.74/19.98 thf(decl_233, type, esk125_4: (real > $o) > set_real > set_real > (real > $o) > real). 19.74/19.98 thf(decl_234, type, esk126_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_235, type, esk127_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_236, type, esk128_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_237, type, esk129_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_238, type, esk130_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_239, type, esk131_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_240, type, esk132_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_241, type, esk133_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_242, type, esk134_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_243, type, esk135_2: (a > $o) > (a > $o) > a). 19.74/19.98 thf(decl_244, type, esk136_3: (a > $o) > (a > $o) > set_a > a). 19.74/19.98 thf(decl_245, type, esk137_4: (a > $o) > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_246, type, esk138_4: (a > $o) > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_247, type, esk139_4: (a > $o) > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_248, type, esk140_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_249, type, esk141_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_250, type, esk142_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_251, type, esk143_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_252, type, esk144_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_253, type, esk145_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_254, type, esk146_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_255, type, esk147_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_256, type, esk148_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_257, type, esk149_2: (a > $o) > (a > $o) > a). 19.74/19.98 thf(decl_258, type, esk150_3: (a > $o) > (a > $o) > set_a > a). 19.74/19.98 thf(decl_259, type, esk151_4: (a > $o) > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_260, type, esk152_4: (a > $o) > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_261, type, esk153_4: (a > $o) > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_262, type, esk154_4: (a > $o) > (a > $o) > (a > $o) > (a > $o) > a). 19.74/19.98 thf(decl_263, type, esk155_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_264, type, esk156_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_265, type, esk157_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_266, type, esk158_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_267, type, esk159_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_268, type, esk160_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_269, type, esk161_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_270, type, esk162_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_271, type, esk163_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_272, type, esk164_3: set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_273, type, esk165_4: set_a > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_274, type, esk166_4: set_a > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_275, type, esk167_4: set_a > set_a > (a > $o) > set_a > a). 19.74/19.98 thf(decl_276, type, esk168_4: (a > $o) > (a > $o) > (a > $o) > set_a > a). 19.74/19.98 thf(decl_277, type, esk169_4: (a > $o) > (a > $o) > (a > $o) > set_a > a). 19.74/19.98 thf(decl_278, type, esk170_2: set_a > set_a > a). 19.74/19.98 thf(decl_279, type, esk171_3: set_a > set_a > set_a > a). 19.74/19.98 thf(decl_280, type, esk172_4: set_a > set_a > set_a > set_a > a). 19.74/19.98 thf(decl_281, type, esk173_4: set_a > set_a > set_a > set_a > a). 19.74/19.98 thf(decl_282, type, esk174_4: set_a > set_a > set_a > set_a > a). 19.74/19.98 thf(decl_283, type, esk175_4: set_a > (a > $o) > set_a > (a > $o) > a). 19.74/19.98 thf(decl_284, type, esk176_4: set_a > (a > $o) > set_a > (a > $o) > a). 19.74/19.98 thf(decl_285, type, esk177_4: set_a > (a > $o) > set_a > set_a > a). 19.74/19.98 thf(decl_286, type, esk178_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_287, type, esk179_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_288, type, esk180_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_289, type, esk181_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_290, type, esk182_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_291, type, esk183_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_292, type, esk184_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_293, type, esk185_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_294, type, esk186_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_295, type, esk187_3: real > set_real > real > real). 19.74/19.98 thf(decl_296, type, esk188_4: real > set_real > real > set_real > real). 19.74/19.98 thf(decl_297, type, esk189_4: real > (real > $o) > real > (real > $o) > real). 19.74/19.98 thf(decl_298, type, esk190_4: real > real > real > real > real). 19.74/19.98 thf(decl_299, type, esk191_4: real > real > real > real > real). 19.74/19.98 thf(decl_300, type, esk192_4: real > real > real > real > real). 19.74/19.98 thf(decl_301, type, esk193_4: real > real > real > real > real). 19.74/19.98 thf(decl_302, type, esk194_4: real > real > real > real > real). 19.74/19.98 thf(decl_303, type, esk195_4: real > real > real > real > real). 19.74/19.98 thf(decl_304, type, esk196_4: real > real > real > real > real). 19.74/19.98 thf(decl_305, type, esk197_4: real > real > real > real > real). 19.74/19.98 thf(decl_306, type, esk198_4: real > real > real > real > real). 19.74/19.98 thf(decl_307, type, esk199_4: real > real > real > real > real). 19.74/19.98 thf(decl_308, type, esk200_3: set_real > real > real > real). 19.74/19.98 thf(decl_309, type, esk201_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_310, type, esk202_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_311, type, esk203_3: set_real > real > real > real). 19.74/19.98 thf(decl_312, type, esk204_4: set_real > real > set_real > real > real). 19.74/19.98 thf(decl_313, type, esk205_4: (real > $o) > real > (real > $o) > real > real). 19.74/19.98 thf(decl_314, type, esk206_2: real > a > a). 19.74/19.98 thf(decl_315, type, esk207_3: real > set_a > a > a). 19.74/19.98 thf(decl_316, type, esk208_4: real > set_a > a > set_a > a). 19.74/19.98 thf(decl_317, type, esk209_4: real > set_a > a > set_a > a). 19.74/19.98 thf(decl_318, type, esk210_4: real > set_a > a > set_a > a). 19.74/19.98 thf(decl_319, type, esk211_4: real > (a > $o) > a > (a > $o) > a). 19.74/19.98 thf(decl_320, type, esk212_4: real > (a > $o) > a > (a > $o) > a). 19.74/19.98 thf(decl_321, type, esk213_4: real > set_a > (a > $o) > a > a). 19.74/19.98 thf(decl_322, type, esk214_4: real > set_a > a > set_a > a). 19.74/19.98 thf(decl_323, type, esk215_4: real > a > a > real > a). 19.74/19.98 thf(decl_324, type, esk216_4: real > a > a > real > a). 19.74/19.98 thf(decl_325, type, esk217_4: real > a > a > real > a). 19.74/19.98 thf(decl_326, type, esk218_4: real > a > a > real > a). 19.74/19.98 thf(decl_327, type, esk219_4: real > a > a > real > a). 19.74/19.98 thf(decl_328, type, esk220_4: real > a > a > real > a). 19.74/19.98 thf(decl_329, type, esk221_4: real > a > a > real > a). 19.74/19.98 thf(decl_330, type, esk222_4: real > a > a > real > a). 19.74/19.98 thf(decl_331, type, esk223_4: real > a > a > real > a). 19.74/19.98 thf(decl_332, type, esk224_4: real > a > a > real > a). 19.74/19.98 thf(decl_333, type, esk225_2: a > real > a). 19.74/19.98 thf(decl_334, type, esk226_3: set_a > a > real > a). 19.74/19.98 thf(decl_335, type, esk227_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_336, type, esk228_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_337, type, esk229_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_338, type, esk230_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_339, type, esk231_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_340, type, esk232_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_341, type, esk233_2: real > a > a). 19.74/19.98 thf(decl_342, type, esk234_3: set_a > a > real > a). 19.74/19.98 thf(decl_343, type, esk235_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_344, type, esk236_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_345, type, esk237_4: set_a > a > set_a > real > a). 19.74/19.98 thf(decl_346, type, esk238_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_347, type, esk239_4: (a > $o) > a > (a > $o) > real > a). 19.74/19.98 thf(decl_348, type, esk240_4: set_a > a > set_a > real > a). 19.74/19.98 thf(conj_0, hypothesis, ![X58:real]:(((ord_less_real @ zero_zero_real @ X58)=>(((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (path_path_image_a @ j1))=(bot_bot_set_a))=>((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[X10:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ inner)&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[X10:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ outer))|((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[X10:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ inner)&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[X10:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ outer)))=>(thesis))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 19.74/19.98 thf(fact_317_Int__commute, axiom, ((inf_inf_set_a)=(^[X252:set_a, X253:set_a]:(inf_inf_set_a @ X253 @ X252))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_317_Int__commute)). 19.74/19.98 thf(conj_1, conjecture, (thesis), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 19.74/19.98 thf(fact_21__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062e_O_A_092_060lbrakk_0620_A_060_Ae_059_Aball_Arp_Ae_A_092_060inter_062_Apath__image_AJ1_A_061_A_123_125_059_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_060_A0_125_A_092_060subseteq_062_Ainside_A_Ipath__image_AJ_J_A_092_060and_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A0_A_060_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_125_A_092_060subseteq_062_Aoutside_A_Ipath__image_AJ_J_A_092_060or_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A0_A_060_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_125_A_092_060subseteq_062_Ainside_A_Ipath__image_AJ_J_A_092_060and_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_060_A0_125_A_092_060subseteq_062_Aoutside_A_Ipath__image_AJ_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062, axiom, ~(![X9:real]:(((ord_less_real @ zero_zero_real @ X9)=>(((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (path_path_image_a @ j1))=(bot_bot_set_a))=>~((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[X10:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_inside_a @ (path_path_image_a @ j)))&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[X10:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_outside_a @ (path_path_image_a @ j))))|((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[X10:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_inside_a @ (path_path_image_a @ j)))&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[X10:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ X10 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_outside_a @ (path_path_image_a @ j)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_21__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062e_O_A_092_060lbrakk_0620_A_060_Ae_059_Aball_Arp_Ae_A_092_060inter_062_Apath__image_AJ1_A_061_A_123_125_059_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_060_A0_125_A_092_060subseteq_062_Ainside_A_Ipath__image_AJ_J_A_092_060and_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A0_A_060_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_125_A_092_060subseteq_062_Aoutside_A_Ipath__image_AJ_J_A_092_060or_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A0_A_060_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_125_A_092_060subseteq_062_Ainside_A_Ipath__image_AJ_J_A_092_060and_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_060_A0_125_A_092_060subseteq_062_Aoutside_A_Ipath__image_AJ_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062)). 19.74/19.98 thf(fact_8_inner__def, axiom, ((inner)=(path_inside_a @ (path_path_image_a @ j))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8_inner__def)). 19.74/19.98 thf(fact_70_io_I11_J, axiom, ((elemen93512713tier_a @ inner)=(path_path_image_a @ j)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_70_io_I11_J)). 19.74/19.98 thf(fact_7_outer__def, axiom, ((outer)=(path_outside_a @ (path_path_image_a @ j))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_7_outer__def)). 19.74/19.98 thf(c_0_7, hypothesis, ![X58:real]:(((ord_less_real @ zero_zero_real @ X58)=>(((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (path_path_image_a @ j1))=(bot_bot_set_a))=>((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ inner)&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ outer))|((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ inner)&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X58) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ outer)))=>(thesis))))), inference(fof_simplification,[status(thm)],[conj_0])). 19.74/19.98 thf(c_0_8, plain, ![X1146:set_a, X1147:set_a]:(((inf_inf_set_a @ X1146 @ X1147)=(inf_inf_set_a @ X1147 @ X1146))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_317_Int__commute])])). 19.74/19.98 thf(c_0_9, hypothesis, ![X1910:real]:(((~(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X1910) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ inner)|~(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X1910) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ outer)|(thesis)|((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X1910) @ (path_path_image_a @ j1))!=(bot_bot_set_a))|~(ord_less_real @ zero_zero_real @ X1910))&(~(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X1910) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ inner)|~(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X1910) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ outer)|(thesis)|((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X1910) @ (path_path_image_a @ j1))!=(bot_bot_set_a))|~(ord_less_real @ zero_zero_real @ X1910)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])). 19.74/19.98 thf(c_0_10, plain, ![X1911:a]:(((epred1_0 @ X1911)<=>(ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ X1911 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))), introduced(definition)). 19.74/19.98 thf(c_0_11, plain, ![X1912:a]:(((epred2_0 @ X1912)<=>(ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ X1912 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))), introduced(definition)). 19.74/19.98 thf(c_0_12, plain, ![X1823:set_a, X1824:set_a]:(((inf_inf_set_a @ X1823 @ X1824)=(inf_inf_set_a @ X1824 @ X1823))), inference(variable_rename,[status(thm)],[c_0_8])). 19.74/19.98 thf(c_0_13, negated_conjecture, ~(thesis), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])). 19.74/19.98 thf(c_0_14, plain, ~(![X9:real]:(((ord_less_real @ zero_zero_real @ X9)=>(((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (path_path_image_a @ j1))=(bot_bot_set_a))=>~((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_inside_a @ (path_path_image_a @ j)))&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_outside_a @ (path_path_image_a @ j))))|((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_inside_a @ (path_path_image_a @ j)))&(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X9) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_outside_a @ (path_path_image_a @ j)))))))))), inference(fof_simplification,[status(thm)],[fact_21__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062e_O_A_092_060lbrakk_0620_A_060_Ae_059_Aball_Arp_Ae_A_092_060inter_062_Apath__image_AJ1_A_061_A_123_125_059_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_060_A0_125_A_092_060subseteq_062_Ainside_A_Ipath__image_AJ_J_A_092_060and_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A0_A_060_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_125_A_092_060subseteq_062_Aoutside_A_Ipath__image_AJ_J_A_092_060or_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A0_A_060_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_125_A_092_060subseteq_062_Ainside_A_Ipath__image_AJ_J_A_092_060and_062_Aball_Arp_Ae_A_092_060inter_062_A_123y_O_A_Iy_A_N_Arp_J_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_060_A0_125_A_092_060subseteq_062_Aoutside_A_Ipath__image_AJ_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062])). 19.74/19.98 thf(c_0_15, hypothesis, ![X3:real]:(((thesis)|~((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (collect_a @ epred2_0)) @ inner))=(($true))))|~((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (collect_a @ epred1_0)) @ outer))=(($true))))|((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (path_path_image_a @ j1))!=(bot_bot_set_a))|~((ord_less_real @ zero_zero_real @ X3)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9]), c_0_10]), c_0_11])). 19.74/19.98 thf(c_0_16, plain, ![X26:set_a, X4:set_a]:(((inf_inf_set_a @ X4 @ X26)=(inf_inf_set_a @ X26 @ X4))), inference(split_conjunct,[status(thm)],[c_0_12])). 19.74/19.98 thf(c_0_17, negated_conjecture, ~((thesis)), inference(split_conjunct,[status(thm)],[c_0_13])). 19.74/19.98 thf(c_0_18, plain, ((ord_less_real @ zero_zero_real @ esk3_0)&(((inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (path_path_image_a @ j1))=(bot_bot_set_a))&((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_inside_a @ (path_path_image_a @ j)))|(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_inside_a @ (path_path_image_a @ j))))&((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_outside_a @ (path_path_image_a @ j)))|(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_inside_a @ (path_path_image_a @ j)))))&(((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_inside_a @ (path_path_image_a @ j)))|(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_outside_a @ (path_path_image_a @ j))))&((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b))) @ zero_zero_real))))) @ (path_outside_a @ (path_path_image_a @ j)))|(ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ (^[Z0:a]:((ord_less_real @ zero_zero_real @ (inner_1173012732nner_a @ (minus_minus_a @ Z0 @ rp) @ (poinca659159244_rot_a @ (minus_minus_a @ a2 @ b)))))))) @ (path_outside_a @ (path_path_image_a @ j)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])). 19.74/19.98 thf(c_0_19, hypothesis, ![X3:real]:(((thesis)|~((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (collect_a @ epred1_0)) @ inner))=(($true))))|~((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (collect_a @ epred2_0)) @ outer))=(($true))))|((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (path_path_image_a @ j1))!=(bot_bot_set_a))|~((ord_less_real @ zero_zero_real @ X3)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9]), c_0_11]), c_0_10])). 19.74/19.98 thf(c_0_20, plain, ((inner)=(path_inside_a @ (path_path_image_a @ j))), inference(split_conjunct,[status(thm)],[fact_8_inner__def])). 19.74/19.98 thf(c_0_21, plain, ((elemen93512713tier_a @ inner)=(path_path_image_a @ j)), inference(split_conjunct,[status(thm)],[fact_70_io_I11_J])). 19.74/19.98 thf(c_0_22, plain, ((outer)=(path_outside_a @ (path_path_image_a @ j))), inference(split_conjunct,[status(thm)],[fact_7_outer__def])). 19.74/19.98 thf(c_0_23, hypothesis, ![X3:real]:((((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (path_path_image_a @ j1))!=(bot_bot_set_a))|~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ X3)) @ outer))|~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ X3)) @ inner))|~((ord_less_real @ zero_zero_real @ X3)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_15]), c_0_16]), c_0_16]), c_0_17])). 19.74/19.98 thf(c_0_24, plain, (ord_less_real @ zero_zero_real @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_18])). 19.74/19.98 thf(c_0_25, plain, ((inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (path_path_image_a @ j1))=(bot_bot_set_a)), inference(split_conjunct,[status(thm)],[c_0_18])). 19.74/19.98 thf(c_0_26, hypothesis, ![X3:real]:((((inf_inf_set_a @ (elemen154694473ball_a @ rp @ X3) @ (path_path_image_a @ j1))!=(bot_bot_set_a))|~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ X3)) @ inner))|~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ X3)) @ outer))|~((ord_less_real @ zero_zero_real @ X3)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_19]), c_0_16]), c_0_16]), c_0_17])). 19.74/19.98 thf(c_0_27, plain, ((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred2_0)) @ (path_inside_a @ (path_path_image_a @ j))))=(($true)))|(((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred2_0)) @ (path_outside_a @ (path_path_image_a @ j))))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18]), c_0_11]), c_0_11])). 19.74/19.98 thf(c_0_28, plain, ((path_inside_a @ (elemen93512713tier_a @ inner))=(inner)), inference(rw,[status(thm)],[c_0_20, c_0_21])). 19.74/19.98 thf(c_0_29, plain, ((path_outside_a @ (elemen93512713tier_a @ inner))=(outer)), inference(rw,[status(thm)],[c_0_22, c_0_21])). 19.74/19.98 thf(c_0_30, plain, ((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred1_0)) @ (path_outside_a @ (path_path_image_a @ j))))=(($true)))|(((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred2_0)) @ (path_outside_a @ (path_path_image_a @ j))))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18]), c_0_11]), c_0_10])). 19.74/19.98 thf(c_0_31, plain, ((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred2_0)) @ (path_inside_a @ (path_path_image_a @ j))))=(($true)))|(((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred1_0)) @ (path_inside_a @ (path_path_image_a @ j))))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18]), c_0_10]), c_0_11])). 19.74/19.98 thf(c_0_32, plain, ((((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred1_0)) @ (path_outside_a @ (path_path_image_a @ j))))=(($true)))|(((ord_less_eq_set_a @ (inf_inf_set_a @ (elemen154694473ball_a @ rp @ esk3_0) @ (collect_a @ epred1_0)) @ (path_inside_a @ (path_path_image_a @ j))))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18]), c_0_10]), c_0_10])). 19.74/19.98 thf(c_0_33, hypothesis, (~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ outer))|~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ inner))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])])). 19.74/19.98 thf(c_0_34, hypothesis, (~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ inner))|~((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ outer))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_24]), c_0_25])])). 19.74/19.98 thf(c_0_35, plain, ((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ outer)|(ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ inner)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_27]), c_0_16]), c_0_21]), c_0_28]), c_0_16]), c_0_21]), c_0_29])). 19.74/19.98 thf(c_0_36, plain, ((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ outer)|(ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ outer)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_30]), c_0_16]), c_0_21]), c_0_29]), c_0_16]), c_0_21]), c_0_29])). 19.74/19.98 thf(c_0_37, plain, ((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred2_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ inner)|(ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ inner)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_31]), c_0_16]), c_0_21]), c_0_28]), c_0_16]), c_0_21]), c_0_28])). 19.74/19.98 thf(c_0_38, plain, ((ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ outer)|(ord_less_eq_set_a @ (inf_inf_set_a @ (collect_a @ epred1_0) @ (elemen154694473ball_a @ rp @ esk3_0)) @ inner)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[c_0_32]), c_0_16]), c_0_21]), c_0_28]), c_0_16]), c_0_21]), c_0_29])). 19.74/19.98 thf(c_0_39, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_33, c_0_34, c_0_35, c_0_36, c_0_37, c_0_38]), ['proof']). 19.74/19.98 # SZS output end CNFRefutation 19.74/19.98 # Parsed axioms : 423 19.74/19.98 # Removed by relevancy pruning/SinE : 0 19.74/19.98 # Initial clauses : 644 19.74/19.98 # Removed in clause preprocessing : 74 19.74/19.98 # Initial clauses in saturation : 570 19.74/19.98 # Processed clauses : 26825 19.74/19.98 # ...of these trivial : 629 19.74/19.98 # ...subsumed : 21196 19.74/19.98 # ...remaining for further processing : 5000 19.74/19.98 # Other redundant clauses eliminated : 1088 19.74/19.98 # Clauses deleted for lack of memory : 0 19.74/19.98 # Backward-subsumed : 54 19.74/19.98 # Backward-rewritten : 137 19.74/19.98 # Generated clauses : 219509 19.74/19.98 # ...of the previous two non-redundant : 182288 19.74/19.98 # ...aggressively subsumed : 0 19.74/19.98 # Contextual simplify-reflections : 2 19.74/19.98 # Paramodulations : 217677 19.74/19.98 # Factorizations : 20 19.74/19.98 # NegExts : 195 19.74/19.98 # Equation resolutions : 1091 19.74/19.98 # Propositional unsat checks : 1 19.74/19.98 # Propositional check models : 0 19.74/19.98 # Propositional check unsatisfiable : 1 19.74/19.98 # Propositional clauses : 160168 19.74/19.98 # Propositional clauses after purity: 18799 19.74/19.98 # Propositional unsat core size : 6 19.74/19.98 # Propositional preprocessing time : 0.000 19.74/19.98 # Propositional encoding time : 0.274 19.74/19.98 # Propositional solver time : 0.135 19.74/19.98 # Success case prop preproc time : 0.000 19.74/19.98 # Success case prop encoding time : 0.274 19.74/19.98 # Success case prop solver time : 0.135 19.74/19.98 # Current number of processed clauses : 4267 19.74/19.98 # Positive orientable unit clauses : 1588 19.74/19.98 # Positive unorientable unit clauses: 22 19.74/19.98 # Negative unit clauses : 967 19.74/19.98 # Non-unit-clauses : 1690 19.74/19.98 # Current number of unprocessed clauses: 155901 19.74/19.98 # ...number of literals in the above : 239675 19.74/19.98 # Current number of archived formulas : 0 19.74/19.98 # Current number of archived clauses : 683 19.74/19.98 # Clause-clause subsumption calls (NU) : 351024 19.74/19.98 # Rec. Clause-clause subsumption calls : 283502 19.74/19.98 # Non-unit clause-clause subsumptions : 3062 19.74/19.98 # Unit Clause-clause subsumption calls : 184791 19.74/19.98 # Rewrite failures with RHS unbound : 0 19.74/19.98 # BW rewrite match attempts : 2667 19.74/19.98 # BW rewrite match successes : 953 19.74/19.98 # Condensation attempts : 0 19.74/19.98 # Condensation successes : 0 19.74/19.98 # Termbank termtop insertions : 4829263 19.74/19.98 19.74/19.98 # ------------------------------------------------- 19.74/19.98 # User time : 18.760 s 19.74/19.98 # System time : 0.727 s 19.74/19.98 # Total time : 19.486 s 19.74/19.98 # Maximum resident set size: 4716 pages 19.74/19.98 19.74/19.98 # ------------------------------------------------- 19.74/19.98 # User time : 18.771 s 19.74/19.98 # System time : 0.730 s 19.74/19.98 # Total time : 19.501 s 19.74/19.98 # Maximum resident set size: 2276 pages 19.74/19.98 EOF