0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : run_E %s %d THM 0.09/0.31 % Computer : n018.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Tue Aug 9 05:18:15 EDT 2022 0.09/0.31 % CPUTime : 0.15/0.44 Running higher-order on 8 cores theorem proving 0.15/0.44 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=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.44 # Version: 3.0pre003-ho 475.01/68.07 # Preprocessing class: HSLSSMSMSSMNHSA. 475.01/68.07 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 475.01/68.07 # Starting ehoh_best2 with 600s (5) cores 475.01/68.07 # Starting additional_ho_6 with 120s (1) cores 475.01/68.07 # Starting new_bool_5 with 120s (1) cores 475.01/68.07 # Starting new_bool_1 with 120s (1) cores 475.01/68.07 # new_bool_5 with pid 6623 completed with status 0 475.01/68.07 # Result found by new_bool_5 475.01/68.07 # Preprocessing class: HSLSSMSMSSMNHSA. 475.01/68.07 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 475.01/68.07 # Starting ehoh_best2 with 600s (5) cores 475.01/68.07 # Starting additional_ho_6 with 120s (1) cores 475.01/68.07 # Starting new_bool_5 with 120s (1) cores 475.01/68.07 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 475.01/68.07 # ...ProofStateSinE()=88/395 475.01/68.07 # Search class: HGHSM-FFLM32-MHSFFFNN 475.01/68.07 # partial match(2): HGHSM-FSLM32-MHSFFFBN 475.01/68.07 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 475.01/68.07 # Starting sh3 with 65s (1) cores 475.01/68.07 # sh3 with pid 6625 completed with status 7 475.01/68.07 # Starting new_bool_5 with 13s (1) cores 475.01/68.07 # new_bool_5 with pid 7230 completed with status 0 475.01/68.07 # Result found by new_bool_5 475.01/68.07 # Preprocessing class: HSLSSMSMSSMNHSA. 475.01/68.07 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 475.01/68.07 # Starting ehoh_best2 with 600s (5) cores 475.01/68.07 # Starting additional_ho_6 with 120s (1) cores 475.01/68.07 # Starting new_bool_5 with 120s (1) cores 475.01/68.07 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0) 475.01/68.07 # ...ProofStateSinE()=88/395 475.01/68.07 # Search class: HGHSM-FFLM32-MHSFFFNN 475.01/68.07 # partial match(2): HGHSM-FSLM32-MHSFFFBN 475.01/68.07 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 475.01/68.07 # Starting sh3 with 65s (1) cores 475.01/68.07 # sh3 with pid 6625 completed with status 7 475.01/68.07 # Starting new_bool_5 with 13s (1) cores 475.01/68.07 # Preprocessing time : 0.003 s 475.01/68.07 # Presaturation interreduction done 475.01/68.07 475.01/68.07 # Proof found! 475.01/68.07 # SZS status Theorem 475.01/68.07 # SZS output start CNFRefutation 475.01/68.07 thf(decl_22, type, elemen341675809l_real: real > real > set_real). 475.01/68.07 thf(decl_23, type, elemen154694473ball_a: a > real > set_a). 475.01/68.07 thf(decl_24, type, auto_l612940ivl0_a: (a > a) > set_a > a > set_real). 475.01/68.07 thf(decl_25, type, auto_ll_on_flow0_a: (a > a) > set_a > a > real > a). 475.01/68.07 thf(decl_26, type, abs_abs_real: real > real). 475.01/68.07 thf(decl_27, type, abs_abs_a: a > a). 475.01/68.07 thf(decl_28, type, one_one_real: real). 475.01/68.07 thf(decl_29, type, plus_plus_real: real > real > real). 475.01/68.07 thf(decl_30, type, plus_plus_a: a > a > a). 475.01/68.07 thf(decl_31, type, uminus_uminus_a_a: (a > a) > a > a). 475.01/68.07 thf(decl_32, type, uminus_uminus_real: real > real). 475.01/68.07 thf(decl_33, type, uminus_uminus_a: a > a). 475.01/68.07 thf(decl_34, type, zero_zero_real: real). 475.01/68.07 thf(decl_35, type, zero_zero_a: a). 475.01/68.07 thf(decl_36, type, if_real: $o > real > real > real). 475.01/68.07 thf(decl_37, type, initia826609931terval: set_real > $o). 475.01/68.07 thf(decl_38, type, limit_1865182413oint_a: (a > a) > set_a > a > a > $o). 475.01/68.07 thf(decl_39, type, limit_94460170oint_a: (a > a) > set_a > a > a > $o). 475.01/68.07 thf(decl_40, type, line_open_segment_a: a > a > set_a). 475.01/68.07 thf(decl_41, type, bot_bot_set_real: set_real). 475.01/68.07 thf(decl_42, type, bot_bot_set_a: set_a). 475.01/68.07 thf(decl_43, type, ord_less_real: real > real > $o). 475.01/68.07 thf(decl_44, type, ord_less_a: a > a > $o). 475.01/68.07 thf(decl_45, type, ord_less_eq_real: real > real > $o). 475.01/68.07 thf(decl_46, type, ord_less_eq_a: a > a > $o). 475.01/68.07 thf(decl_47, type, top_top_set_real: set_real). 475.01/68.07 thf(decl_48, type, period720806154rbit_a: (a > a) > set_a > a > $o). 475.01/68.07 thf(decl_49, type, period1305449585riod_a: (a > a) > set_a > a > real). 475.01/68.07 thf(decl_50, type, period138238489rbit_a: (a > a) > set_a > a > $o). 475.01/68.07 thf(decl_51, type, poinca522724647ment_a: (a > a) > set_a > a > a > $o). 475.01/68.07 thf(decl_52, type, collect_real: (real > $o) > set_real). 475.01/68.07 thf(decl_53, type, collect_a: (a > $o) > set_a). 475.01/68.07 thf(decl_54, type, topolo1710226732a_real: set_a > (a > real) > $o). 475.01/68.07 thf(decl_55, type, member_real: real > set_real > $o). 475.01/68.07 thf(decl_56, type, member_a: a > set_a > $o). 475.01/68.07 thf(decl_57, type, x: set_a). 475.01/68.07 thf(decl_58, type, a2: a). 475.01/68.07 thf(decl_59, type, b: a). 475.01/68.07 thf(decl_60, type, f: a > a). 475.01/68.07 thf(decl_61, type, p: a). 475.01/68.07 thf(decl_62, type, thesisa: $o). 475.01/68.07 thf(decl_63, type, x2: a). 475.01/68.07 thf(decl_64, type, esk1_2: real > (a > real) > a). 475.01/68.07 thf(decl_65, type, esk2_2: real > (a > real) > a). 475.01/68.07 thf(decl_66, type, esk3_1: a > a). 475.01/68.07 thf(decl_67, type, esk4_1: a > a). 475.01/68.07 thf(decl_68, type, esk5_1: a > a). 475.01/68.07 thf(decl_69, type, esk6_1: a > a). 475.01/68.07 thf(decl_70, type, esk7_2: real > (a > real) > a). 475.01/68.07 thf(decl_71, type, esk8_2: real > (a > real) > a). 475.01/68.07 thf(decl_72, type, esk9_4: a > a > a > real > real). 475.01/68.07 thf(decl_73, type, esk10_4: a > a > a > real > a > real). 475.01/68.07 thf(decl_74, type, esk11_0: real). 475.01/68.07 thf(decl_75, type, esk12_0: a > real). 475.01/68.07 thf(decl_76, type, esk13_0: a). 475.01/68.07 thf(decl_77, type, esk14_0: a). 475.01/68.07 thf(decl_78, type, esk15_0: a). 475.01/68.07 thf(decl_79, type, esk16_0: a). 475.01/68.07 thf(decl_80, type, esk17_0: a). 475.01/68.07 thf(decl_81, type, esk18_0: a). 475.01/68.07 thf(decl_82, type, esk19_0: a). 475.01/68.07 thf(decl_83, type, esk20_0: a). 475.01/68.07 thf(decl_84, type, esk21_0: a). 475.01/68.07 thf(decl_85, type, esk22_0: a). 475.01/68.07 thf(decl_86, type, esk23_0: a). 475.01/68.07 thf(decl_87, type, esk24_0: a). 475.01/68.07 thf(decl_88, type, esk25_0: a). 475.01/68.07 thf(decl_89, type, esk26_0: a). 475.01/68.07 thf(decl_90, type, esk27_0: a). 475.01/68.07 thf(decl_91, type, esk28_0: a). 475.01/68.07 thf(decl_92, type, esk29_0: a). 475.01/68.07 thf(decl_93, type, esk30_0: a). 475.01/68.07 thf(decl_94, type, esk31_0: a). 475.01/68.07 thf(decl_95, type, esk32_0: a). 475.01/68.07 thf(decl_96, type, esk33_0: a). 475.01/68.07 thf(decl_97, type, esk34_0: a). 475.01/68.07 thf(decl_98, type, esk35_0: a). 475.01/68.07 thf(decl_99, type, esk36_0: a). 475.01/68.07 thf(decl_100, type, esk37_0: a). 475.01/68.07 thf(decl_101, type, esk38_0: a). 475.01/68.07 thf(decl_102, type, esk39_0: a). 475.01/68.07 thf(decl_103, type, esk40_0: a). 475.01/68.07 thf(decl_104, type, esk41_0: a). 475.01/68.07 thf(decl_105, type, esk42_0: a). 475.01/68.07 thf(decl_106, type, esk43_0: a). 475.01/68.07 thf(decl_107, type, esk44_0: a). 475.01/68.07 thf(decl_108, type, esk45_0: a). 475.01/68.07 thf(decl_109, type, esk46_0: a). 475.01/68.07 thf(decl_110, type, esk47_0: a). 475.01/68.07 thf(decl_111, type, esk48_0: a). 475.01/68.07 thf(decl_112, type, esk49_0: a). 475.01/68.07 thf(decl_113, type, esk50_0: a). 475.01/68.07 thf(decl_114, type, esk51_0: a). 475.01/68.07 thf(decl_115, type, esk52_0: a). 475.01/68.07 thf(decl_116, type, esk53_0: a). 475.01/68.07 thf(decl_117, type, esk54_0: a). 475.01/68.07 thf(decl_118, type, esk55_0: a). 475.01/68.07 thf(decl_119, type, esk56_0: a). 475.01/68.07 thf(decl_120, type, esk57_0: a). 475.01/68.07 thf(decl_121, type, esk58_0: a). 475.01/68.07 thf(decl_122, type, esk59_0: a). 475.01/68.07 thf(decl_123, type, esk60_0: a). 475.01/68.07 thf(decl_124, type, esk61_0: a). 475.01/68.07 thf(decl_125, type, esk62_0: a). 475.01/68.07 thf(decl_126, type, esk63_0: a). 475.01/68.07 thf(decl_127, type, esk64_0: a). 475.01/68.07 thf(decl_128, type, esk65_0: a). 475.01/68.07 thf(decl_129, type, esk66_0: a). 475.01/68.07 thf(decl_130, type, esk67_0: a). 475.01/68.07 thf(decl_131, type, esk68_0: a). 475.01/68.07 thf(decl_132, type, esk69_0: a). 475.01/68.07 thf(decl_133, type, esk70_0: a). 475.01/68.07 thf(decl_134, type, esk71_0: a). 475.01/68.07 thf(decl_135, type, esk72_0: a). 475.01/68.07 thf(decl_136, type, esk73_0: a). 475.01/68.07 thf(decl_137, type, esk74_0: a). 475.01/68.07 thf(decl_138, type, esk75_0: a). 475.01/68.07 thf(decl_139, type, esk76_0: a). 475.01/68.07 thf(decl_140, type, esk77_0: a). 475.01/68.07 thf(decl_141, type, esk78_0: a). 475.01/68.07 thf(decl_142, type, esk79_0: a). 475.01/68.07 thf(decl_143, type, esk80_0: a). 475.01/68.07 thf(decl_144, type, esk81_0: a). 475.01/68.07 thf(decl_145, type, esk82_0: a). 475.01/68.07 thf(decl_146, type, esk83_0: a). 475.01/68.07 thf(decl_147, type, esk84_0: a). 475.01/68.07 thf(decl_148, type, esk85_0: a). 475.01/68.07 thf(decl_149, type, esk86_0: a). 475.01/68.07 thf(decl_150, type, esk87_0: a). 475.01/68.07 thf(decl_151, type, esk88_0: a). 475.01/68.07 thf(decl_152, type, esk89_0: a). 475.01/68.07 thf(decl_153, type, esk90_0: a). 475.01/68.07 thf(decl_154, type, esk91_0: a). 475.01/68.07 thf(decl_155, type, esk92_0: a). 475.01/68.07 thf(decl_156, type, esk93_0: a). 475.01/68.07 thf(decl_157, type, esk94_0: a). 475.01/68.07 thf(decl_158, type, esk95_0: a). 475.01/68.07 thf(decl_159, type, esk96_0: a). 475.01/68.07 thf(decl_160, type, esk97_0: a). 475.01/68.07 thf(decl_161, type, esk98_0: a). 475.01/68.07 thf(decl_162, type, esk99_0: a). 475.01/68.07 thf(decl_163, type, esk100_0: a). 475.01/68.07 thf(decl_164, type, esk101_0: a). 475.01/68.07 thf(decl_165, type, esk102_0: a). 475.01/68.07 thf(decl_166, type, esk103_0: a). 475.01/68.07 thf(decl_167, type, esk104_0: a). 475.01/68.07 thf(decl_168, type, esk105_0: a). 475.01/68.07 thf(decl_169, type, esk106_0: a). 475.01/68.07 thf(decl_170, type, esk107_0: a). 475.01/68.07 thf(decl_171, type, esk108_0: a). 475.01/68.07 thf(decl_172, type, esk109_0: a). 475.01/68.07 thf(decl_173, type, esk110_0: a). 475.01/68.07 thf(decl_174, type, esk111_0: a). 475.01/68.07 thf(decl_175, type, esk112_0: a). 475.01/68.07 thf(decl_176, type, esk113_0: a). 475.01/68.07 thf(decl_177, type, esk114_0: a). 475.01/68.07 thf(decl_178, type, esk115_0: a). 475.01/68.07 thf(decl_179, type, esk116_0: a). 475.01/68.07 thf(decl_180, type, esk117_0: a). 475.01/68.07 thf(decl_181, type, esk118_0: a). 475.01/68.07 thf(decl_182, type, esk119_0: a). 475.01/68.07 thf(decl_183, type, esk120_0: a). 475.01/68.07 thf(decl_184, type, esk121_0: a). 475.01/68.07 thf(decl_185, type, esk122_0: a). 475.01/68.07 thf(decl_186, type, esk123_0: a). 475.01/68.07 thf(decl_187, type, esk124_0: a). 475.01/68.07 thf(decl_188, type, esk125_0: a). 475.01/68.07 thf(decl_189, type, esk126_0: a). 475.01/68.07 thf(decl_190, type, esk127_0: a). 475.01/68.07 thf(decl_191, type, esk128_0: a). 475.01/68.07 thf(decl_192, type, esk129_0: a). 475.01/68.07 thf(decl_193, type, esk130_0: a). 475.01/68.07 thf(decl_194, type, esk131_0: a). 475.01/68.07 thf(decl_195, type, esk132_0: a). 475.01/68.07 thf(decl_196, type, esk133_0: a). 475.01/68.07 thf(decl_197, type, esk134_0: a). 475.01/68.07 thf(decl_198, type, esk135_0: a). 475.01/68.07 thf(decl_199, type, esk136_0: a). 475.01/68.07 thf(decl_200, type, esk137_0: a). 475.01/68.07 thf(decl_201, type, esk138_0: a). 475.01/68.07 thf(decl_202, type, esk139_0: a). 475.01/68.07 thf(decl_203, type, esk140_0: a). 475.01/68.07 thf(decl_204, type, esk141_0: a). 475.01/68.07 thf(decl_205, type, esk142_0: a). 475.01/68.07 thf(decl_206, type, esk143_0: a). 475.01/68.07 thf(decl_207, type, esk144_0: a). 475.01/68.07 thf(decl_208, type, esk145_0: a). 475.01/68.07 thf(decl_209, type, esk146_0: a). 475.01/68.07 thf(decl_210, type, esk147_0: a). 475.01/68.07 thf(decl_211, type, esk148_0: a). 475.01/68.07 thf(decl_212, type, esk149_0: a). 475.01/68.07 thf(decl_213, type, esk150_0: a). 475.01/68.07 thf(decl_214, type, esk151_0: a). 475.01/68.07 thf(decl_215, type, esk152_0: a). 475.01/68.07 thf(decl_216, type, esk153_0: a). 475.01/68.07 thf(decl_217, type, esk154_0: a). 475.01/68.07 thf(decl_218, type, esk155_0: a). 475.01/68.07 thf(decl_219, type, esk156_0: a). 475.01/68.07 thf(decl_220, type, esk157_0: a). 475.01/68.07 thf(decl_221, type, esk158_0: a). 475.01/68.07 thf(decl_222, type, esk159_0: a). 475.01/68.07 thf(decl_223, type, esk160_0: a). 475.01/68.07 thf(decl_224, type, esk161_0: a). 475.01/68.07 thf(decl_225, type, esk162_0: a). 475.01/68.07 thf(decl_226, type, esk163_0: a). 475.01/68.07 thf(decl_227, type, esk164_0: a). 475.01/68.07 thf(decl_228, type, esk165_0: a). 475.01/68.07 thf(decl_229, type, esk166_0: a). 475.01/68.07 thf(decl_230, type, esk167_0: a). 475.01/68.07 thf(conj_0, hypothesis, ![X115:real, X116:a > real]:(((ord_less_real @ zero_zero_real @ X115)=>((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X115) @ X116)=>((((thesisa)<=![X117:a]:(((member_a @ X117 @ (elemen154694473ball_a @ p @ X115))=>(member_a @ (auto_ll_on_flow0_a @ f @ x @ X117 @ (X116 @ X117)) @ (line_open_segment_a @ a2 @ b)))))<=![X117:a]:(((ord_less_real @ (abs_abs_real @ (X116 @ X117)) @ one_one_real)<=(member_a @ X117 @ (elemen154694473ball_a @ p @ X115)))))<=((X116 @ p)=(zero_zero_real)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 475.01/68.07 thf(conj_1, conjecture, (thesisa), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 475.01/68.07 thf(fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_At_O_A_092_060lbrakk_0620_A_060_Ad_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_Aflow0_Ay_A_It_Ay_J_A_092_060in_062_A_123a_060_N_N_060b_125_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_A_092_060bar_062t_Ay_092_060bar_062_A_060_A1_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_At_Ap_A_061_A0_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062, axiom, ~(![X127:real]:((![X128:a > real]:(((![X129:a]:(((member_a @ (auto_ll_on_flow0_a @ f @ x @ X129 @ (X128 @ X129)) @ (line_open_segment_a @ a2 @ b))<=(member_a @ X129 @ (elemen154694473ball_a @ p @ X127))))=>(((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X127) @ X128)=>((X128 @ p)!=(zero_zero_real)))<=![X129:a]:(((member_a @ X129 @ (elemen154694473ball_a @ p @ X127))=>(ord_less_real @ (abs_abs_real @ (X128 @ X129)) @ one_one_real)))))<=(topolo1710226732a_real @ (elemen154694473ball_a @ p @ X127) @ X128)))<=(ord_less_real @ zero_zero_real @ X127)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_At_O_A_092_060lbrakk_0620_A_060_Ad_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_Aflow0_Ay_A_It_Ay_J_A_092_060in_062_A_123a_060_N_N_060b_125_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_A_092_060bar_062t_Ay_092_060bar_062_A_060_A1_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_At_Ap_A_061_A0_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062)). 475.01/68.07 thf(c_0_3, hypothesis, ![X115:real, X116:a > real]:(((ord_less_real @ zero_zero_real @ X115)=>((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X115) @ X116)=>(((X116 @ p)=(zero_zero_real))=>(![X117:a]:(((member_a @ X117 @ (elemen154694473ball_a @ p @ X115))=>(ord_less_real @ (abs_abs_real @ (X116 @ X117)) @ one_one_real)))=>(![X117:a]:(((member_a @ X117 @ (elemen154694473ball_a @ p @ X115))=>(member_a @ (auto_ll_on_flow0_a @ f @ x @ X117 @ (X116 @ X117)) @ (line_open_segment_a @ a2 @ b))))=>(thesisa))))))), inference(fof_simplification,[status(thm)],[conj_0])). 475.01/68.07 thf(c_0_4, hypothesis, ![X447:real, X448:a > real]:(((((member_a @ (esk2_2 @ X447 @ X448) @ (elemen154694473ball_a @ p @ X447))|(thesisa)|(member_a @ (esk1_2 @ X447 @ X448) @ (elemen154694473ball_a @ p @ X447))|((X448 @ p)!=(zero_zero_real))|~(topolo1710226732a_real @ (elemen154694473ball_a @ p @ X447) @ X448)|~(ord_less_real @ zero_zero_real @ X447))&(~(member_a @ (auto_ll_on_flow0_a @ f @ x @ (esk2_2 @ X447 @ X448) @ (X448 @ (esk2_2 @ X447 @ X448))) @ (line_open_segment_a @ a2 @ b))|(thesisa)|(member_a @ (esk1_2 @ X447 @ X448) @ (elemen154694473ball_a @ p @ X447))|((X448 @ p)!=(zero_zero_real))|~(topolo1710226732a_real @ (elemen154694473ball_a @ p @ X447) @ X448)|~(ord_less_real @ zero_zero_real @ X447)))&(((member_a @ (esk2_2 @ X447 @ X448) @ (elemen154694473ball_a @ p @ X447))|(thesisa)|~(ord_less_real @ (abs_abs_real @ (X448 @ (esk1_2 @ X447 @ X448))) @ one_one_real)|((X448 @ p)!=(zero_zero_real))|~(topolo1710226732a_real @ (elemen154694473ball_a @ p @ X447) @ X448)|~(ord_less_real @ zero_zero_real @ X447))&(~(member_a @ (auto_ll_on_flow0_a @ f @ x @ (esk2_2 @ X447 @ X448) @ (X448 @ (esk2_2 @ X447 @ X448))) @ (line_open_segment_a @ a2 @ b))|(thesisa)|~(ord_less_real @ (abs_abs_real @ (X448 @ (esk1_2 @ X447 @ X448))) @ one_one_real)|((X448 @ p)!=(zero_zero_real))|~(topolo1710226732a_real @ (elemen154694473ball_a @ p @ X447) @ X448)|~(ord_less_real @ zero_zero_real @ X447))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])). 475.01/68.07 thf(c_0_5, negated_conjecture, ~(thesisa), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])])). 475.01/68.07 thf(c_0_6, plain, ~(![X127:real]:(((ord_less_real @ zero_zero_real @ X127)=>![X128:a > real]:(((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X127) @ X128)=>(![X129:a]:(((member_a @ X129 @ (elemen154694473ball_a @ p @ X127))=>(member_a @ (auto_ll_on_flow0_a @ f @ x @ X129 @ (X128 @ X129)) @ (line_open_segment_a @ a2 @ b))))=>(![X129:a]:(((member_a @ X129 @ (elemen154694473ball_a @ p @ X127))=>(ord_less_real @ (abs_abs_real @ (X128 @ X129)) @ one_one_real)))=>((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X127) @ X128)=>((X128 @ p)!=(zero_zero_real)))))))))), inference(fof_simplification,[status(thm)],[fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_At_O_A_092_060lbrakk_0620_A_060_Ad_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_Aflow0_Ay_A_It_Ay_J_A_092_060in_062_A_123a_060_N_N_060b_125_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_A_092_060bar_062t_Ay_092_060bar_062_A_060_A1_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_At_Ap_A_061_A0_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062])). 475.01/68.07 thf(c_0_7, hypothesis, ![X116:a > real, X1:real]:(((thesisa)|(member_a @ (esk1_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|~((member_a @ (auto_ll_on_flow0_a @ f @ x @ (esk2_2 @ X1 @ X116) @ (X116 @ (esk2_2 @ X1 @ X116))) @ (line_open_segment_a @ a2 @ b)))|((X116 @ p)!=(zero_zero_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])). 475.01/68.07 thf(c_0_8, negated_conjecture, ~((thesisa)), inference(split_conjunct,[status(thm)],[c_0_5])). 475.01/68.07 thf(c_0_9, plain, ![X603:a, X604:a]:(((ord_less_real @ zero_zero_real @ esk11_0)&((topolo1710226732a_real @ (elemen154694473ball_a @ p @ esk11_0) @ esk12_0)&((~(member_a @ X603 @ (elemen154694473ball_a @ p @ esk11_0))|(member_a @ (auto_ll_on_flow0_a @ f @ x @ X603 @ (esk12_0 @ X603)) @ (line_open_segment_a @ a2 @ b)))&((~(member_a @ X604 @ (elemen154694473ball_a @ p @ esk11_0))|(ord_less_real @ (abs_abs_real @ (esk12_0 @ X604)) @ one_one_real))&((topolo1710226732a_real @ (elemen154694473ball_a @ p @ esk11_0) @ esk12_0)&((esk12_0 @ p)=(zero_zero_real)))))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])). 475.01/68.07 thf(c_0_10, hypothesis, ![X116:a > real, X1:real]:(((member_a @ (esk1_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|((X116 @ p)!=(zero_zero_real))|~((member_a @ (auto_ll_on_flow0_a @ f @ x @ (esk2_2 @ X1 @ X116) @ (X116 @ (esk2_2 @ X1 @ X116))) @ (line_open_segment_a @ a2 @ b)))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(sr,[status(thm)],[c_0_7, c_0_8])). 475.01/68.07 thf(c_0_11, plain, ![X3:a]:(((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (esk12_0 @ X3)) @ (line_open_segment_a @ a2 @ b))|~((member_a @ X3 @ (elemen154694473ball_a @ p @ esk11_0))))), inference(split_conjunct,[status(thm)],[c_0_9])). 475.01/68.07 thf(c_0_12, plain, ((esk12_0 @ p)=(zero_zero_real)), inference(split_conjunct,[status(thm)],[c_0_9])). 475.01/68.07 thf(c_0_13, hypothesis, ![X116:a > real, X1:real]:(((member_a @ (esk2_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|(thesisa)|(member_a @ (esk1_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|((X116 @ p)!=(zero_zero_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])). 475.01/68.07 thf(c_0_14, plain, ![X3:a]:(((ord_less_real @ (abs_abs_real @ (esk12_0 @ X3)) @ one_one_real)|~((member_a @ X3 @ (elemen154694473ball_a @ p @ esk11_0))))), inference(split_conjunct,[status(thm)],[c_0_9])). 475.01/68.07 thf(c_0_15, hypothesis, ![X1:real]:(((member_a @ (esk1_2 @ X1 @ esk12_0) @ (elemen154694473ball_a @ p @ X1))|~((member_a @ (esk2_2 @ X1 @ esk12_0) @ (elemen154694473ball_a @ p @ esk11_0)))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ esk12_0))|~((ord_less_real @ zero_zero_real @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12])])). 475.01/68.07 thf(c_0_16, plain, (topolo1710226732a_real @ (elemen154694473ball_a @ p @ esk11_0) @ esk12_0), inference(split_conjunct,[status(thm)],[c_0_9])). 475.01/68.07 thf(c_0_17, plain, (ord_less_real @ zero_zero_real @ esk11_0), inference(split_conjunct,[status(thm)],[c_0_9])). 475.01/68.07 thf(c_0_18, hypothesis, ![X116:a > real, X1:real]:(((member_a @ (esk2_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|(member_a @ (esk1_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|((X116 @ p)!=(zero_zero_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(sr,[status(thm)],[c_0_13, c_0_8])). 475.01/68.07 thf(c_0_19, hypothesis, ![X116:a > real, X1:real]:(((thesisa)|~((member_a @ (auto_ll_on_flow0_a @ f @ x @ (esk2_2 @ X1 @ X116) @ (X116 @ (esk2_2 @ X1 @ X116))) @ (line_open_segment_a @ a2 @ b)))|~((ord_less_real @ (abs_abs_real @ (X116 @ (esk1_2 @ X1 @ X116))) @ one_one_real))|((X116 @ p)!=(zero_zero_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])). 475.01/68.07 thf(c_0_20, hypothesis, ![X116:a > real, X1:real]:(((member_a @ (esk2_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|(thesisa)|~((ord_less_real @ (abs_abs_real @ (X116 @ (esk1_2 @ X1 @ X116))) @ one_one_real))|((X116 @ p)!=(zero_zero_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_4])). 475.01/68.07 thf(c_0_21, hypothesis, ((ord_less_real @ (abs_abs_real @ (esk12_0 @ (esk1_2 @ esk11_0 @ esk12_0))) @ one_one_real)|~((member_a @ (esk2_2 @ esk11_0 @ esk12_0) @ (elemen154694473ball_a @ p @ esk11_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17])])). 475.01/68.07 thf(c_0_22, hypothesis, ![X116:a > real]:(((member_a @ (esk2_2 @ esk11_0 @ X116) @ (elemen154694473ball_a @ p @ esk11_0))|(ord_less_real @ (abs_abs_real @ (esk12_0 @ (esk1_2 @ esk11_0 @ X116))) @ one_one_real)|((X116 @ p)!=(zero_zero_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ esk11_0) @ X116)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_18]), c_0_17])])). 475.01/68.07 thf(c_0_23, hypothesis, ![X116:a > real, X1:real]:((((X116 @ p)!=(zero_zero_real))|~((member_a @ (auto_ll_on_flow0_a @ f @ x @ (esk2_2 @ X1 @ X116) @ (X116 @ (esk2_2 @ X1 @ X116))) @ (line_open_segment_a @ a2 @ b)))|~((ord_less_real @ (abs_abs_real @ (X116 @ (esk1_2 @ X1 @ X116))) @ one_one_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(sr,[status(thm)],[c_0_19, c_0_8])). 475.01/68.07 thf(c_0_24, hypothesis, ![X116:a > real, X1:real]:(((member_a @ (esk2_2 @ X1 @ X116) @ (elemen154694473ball_a @ p @ X1))|((X116 @ p)!=(zero_zero_real))|~((ord_less_real @ (abs_abs_real @ (X116 @ (esk1_2 @ X1 @ X116))) @ one_one_real))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X116))|~((ord_less_real @ zero_zero_real @ X1)))), inference(sr,[status(thm)],[c_0_20, c_0_8])). 475.01/68.07 thf(c_0_25, hypothesis, (ord_less_real @ (abs_abs_real @ (esk12_0 @ (esk1_2 @ esk11_0 @ esk12_0))) @ one_one_real), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_12]), c_0_16])])). 475.01/68.07 thf(c_0_26, hypothesis, ![X1:real]:((~((ord_less_real @ (abs_abs_real @ (esk12_0 @ (esk1_2 @ X1 @ esk12_0))) @ one_one_real))|~((member_a @ (esk2_2 @ X1 @ esk12_0) @ (elemen154694473ball_a @ p @ esk11_0)))|~((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ esk12_0))|~((ord_less_real @ zero_zero_real @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_11]), c_0_12])])). 475.01/68.07 thf(c_0_27, hypothesis, (member_a @ (esk2_2 @ esk11_0 @ esk12_0) @ (elemen154694473ball_a @ p @ esk11_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_12]), c_0_16]), c_0_17])])). 475.01/68.07 thf(c_0_28, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_25]), c_0_16]), c_0_17])]), ['proof']). 475.01/68.07 # SZS output end CNFRefutation 475.01/68.07 # Parsed axioms : 395 475.01/68.07 # Removed by relevancy pruning/SinE : 307 475.01/68.07 # Initial clauses : 127 475.01/68.07 # Removed in clause preprocessing : 5 475.01/68.07 # Initial clauses in saturation : 122 475.01/68.07 # Processed clauses : 3781 475.01/68.07 # ...of these trivial : 286 475.01/68.07 # ...subsumed : 1872 475.01/68.07 # ...remaining for further processing : 1623 475.01/68.07 # Other redundant clauses eliminated : 645 475.01/68.07 # Clauses deleted for lack of memory : 0 475.01/68.07 # Backward-subsumed : 36 475.01/68.07 # Backward-rewritten : 75 475.01/68.07 # Generated clauses : 115981 475.01/68.07 # ...of the previous two non-redundant : 100309 475.01/68.07 # ...aggressively subsumed : 0 475.01/68.07 # Contextual simplify-reflections : 52 475.01/68.07 # Paramodulations : 114845 475.01/68.07 # Factorizations : 20 475.01/68.07 # NegExts : 155 475.01/68.07 # Equation resolutions : 657 475.01/68.07 # Propositional unsat checks : 0 475.01/68.07 # Propositional check models : 0 475.01/68.07 # Propositional check unsatisfiable : 0 475.01/68.07 # Propositional clauses : 0 475.01/68.07 # Propositional clauses after purity: 0 475.01/68.07 # Propositional unsat core size : 0 475.01/68.07 # Propositional preprocessing time : 0.000 475.01/68.07 # Propositional encoding time : 0.000 475.01/68.07 # Propositional solver time : 0.000 475.01/68.07 # Success case prop preproc time : 0.000 475.01/68.07 # Success case prop encoding time : 0.000 475.01/68.07 # Success case prop solver time : 0.000 475.01/68.07 # Current number of processed clauses : 1403 475.01/68.07 # Positive orientable unit clauses : 205 475.01/68.07 # Positive unorientable unit clauses: 0 475.01/68.07 # Negative unit clauses : 111 475.01/68.07 # Non-unit-clauses : 1087 475.01/68.07 # Current number of unprocessed clauses: 96100 475.01/68.07 # ...number of literals in the above : 295498 475.01/68.07 # Current number of archived formulas : 0 475.01/68.07 # Current number of archived clauses : 214 475.01/68.07 # Clause-clause subsumption calls (NU) : 178506 475.01/68.07 # Rec. Clause-clause subsumption calls : 80304 475.01/68.07 # Non-unit clause-clause subsumptions : 821 475.01/68.07 # Unit Clause-clause subsumption calls : 16295 475.01/68.07 # Rewrite failures with RHS unbound : 0 475.01/68.07 # BW rewrite match attempts : 620 475.01/68.07 # BW rewrite match successes : 21 475.01/68.07 # Condensation attempts : 3781 475.01/68.07 # Condensation successes : 2 475.01/68.07 # Termbank termtop insertions : 2165240 475.01/68.07 475.01/68.07 # ------------------------------------------------- 475.01/68.07 # User time : 65.921 s 475.01/68.07 # System time : 1.616 s 475.01/68.07 # Total time : 67.537 s 475.01/68.07 # Maximum resident set size: 2784 pages 475.01/68.07 475.01/68.07 # ------------------------------------------------- 475.01/68.07 # User time : 65.930 s 475.01/68.07 # System time : 1.621 s 475.01/68.07 # Total time : 67.551 s 475.01/68.07 # Maximum resident set size: 2276 pages 475.01/68.33 EOF