0.00/0.08 % Problem : SLH499^1 : TPTP v7.5.0. Released v7.5.0. 0.00/0.09 % Command : run_E %s %d THM 0.09/0.29 % Computer : n027.cluster.edu 0.09/0.29 % Model : x86_64 x86_64 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.29 % Memory : 8042.1875MB 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.29 % CPULimit : 30 0.09/0.29 % WCLimit : 30 0.09/0.29 % DateTime : Tue Aug 9 03:18:36 EDT 2022 0.09/0.29 % CPUTime : 0.15/0.41 The problem SPC is TH0_THM_EQU_NAR 0.15/0.41 Running higher-order on 1 cores theorem proving 0.15/0.41 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 0.15/0.41 # Version: 3.0pre003-ho 0.75/0.93 # Preprocessing class: HSLSSMSMSSMNHFA. 0.75/0.93 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.75/0.93 # Starting new_ho_3 with 30s (1) cores 0.75/0.93 # new_ho_3 with pid 15737 completed with status 0 0.75/0.93 # Result found by new_ho_3 0.75/0.93 # Preprocessing class: HSLSSMSMSSMNHFA. 0.75/0.93 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.75/0.93 # Starting new_ho_3 with 30s (1) cores 0.75/0.93 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.75/0.93 # ...ProofStateSinE()=299/460 0.75/0.93 # Search class: HGHSM-FSLM31-MHFFFFNN 0.75/0.93 # partial match(1): HGHSM-FSLM31-MHFFFFBN 0.75/0.93 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.75/0.93 # Starting new_ho_11 with 17s (1) cores 0.75/0.93 # new_ho_11 with pid 15752 completed with status 0 0.75/0.93 # Result found by new_ho_11 0.75/0.93 # Preprocessing class: HSLSSMSMSSMNHFA. 0.75/0.93 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.75/0.93 # Starting new_ho_3 with 30s (1) cores 0.75/0.93 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.75/0.93 # ...ProofStateSinE()=299/460 0.75/0.93 # Search class: HGHSM-FSLM31-MHFFFFNN 0.75/0.93 # partial match(1): HGHSM-FSLM31-MHFFFFBN 0.75/0.93 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.75/0.93 # Starting new_ho_11 with 17s (1) cores 0.75/0.93 # Preprocessing time : 0.008 s 0.75/0.93 # Presaturation interreduction done 0.75/0.93 0.75/0.93 # Proof found! 0.75/0.93 # SZS status Theorem 0.75/0.93 # SZS output start CNFRefutation 0.75/0.93 thf(decl_22, type, finite_finite_real: set_real > $o). 0.75/0.93 thf(decl_23, type, finite_finite_a: set_a > $o). 0.75/0.93 thf(decl_24, type, auto_l1772088114un_a_a: (bounde2042786143un_a_a > bounde2042786143un_a_a) > set_Bo892884757un_a_a > $o). 0.75/0.93 thf(decl_25, type, auto_ll_on_open_real: (real > real) > set_real > $o). 0.75/0.93 thf(decl_26, type, auto_ll_on_open_a: (a > a) > set_a > $o). 0.75/0.93 thf(decl_27, type, auto_l147964817un_a_a: (bounde2042786143un_a_a > bounde2042786143un_a_a) > set_Bo892884757un_a_a > bounde2042786143un_a_a > set_real). 0.75/0.93 thf(decl_28, type, auto_l13228233900_real: (real > real) > set_real > real > set_real). 0.75/0.93 thf(decl_29, type, auto_l612940ivl0_a: (a > a) > set_a > a > set_real). 0.75/0.93 thf(decl_30, type, minus_minus_real: real > real > real). 0.75/0.93 thf(decl_31, type, minus_1634095726un_a_a: set_Bo892884757un_a_a > set_Bo892884757un_a_a > set_Bo892884757un_a_a). 0.75/0.93 thf(decl_32, type, minus_minus_set_real: set_real > set_real > set_real). 0.75/0.93 thf(decl_33, type, minus_minus_set_a: set_a > set_a > set_a). 0.75/0.93 thf(decl_34, type, minus_minus_a: a > a > a). 0.75/0.93 thf(decl_35, type, uminus_uminus_a_a: (a > a) > a > a). 0.75/0.93 thf(decl_36, type, uminus_uminus_real: real > real). 0.75/0.93 thf(decl_37, type, uminus773214379t_real: set_real > set_real). 0.75/0.93 thf(decl_38, type, uminus_uminus_set_a: set_a > set_a). 0.75/0.93 thf(decl_39, type, uminus_uminus_a: a > a). 0.75/0.93 thf(decl_40, type, zero_zero_real: real). 0.75/0.93 thf(decl_41, type, zero_zero_a: a). 0.75/0.93 thf(decl_42, type, initia826609931terval: set_real > $o). 0.75/0.93 thf(decl_43, type, line_c714736385t_real: real > real > set_real). 0.75/0.93 thf(decl_44, type, line_c1152468841ment_a: a > a > set_a). 0.75/0.93 thf(decl_45, type, oDE_au1996717075pped_a: (a > a) > set_a > a > set_a > $o). 0.75/0.93 thf(decl_46, type, bot_bo904260521un_a_a: set_Bo892884757un_a_a). 0.75/0.93 thf(decl_47, type, bot_bot_set_real: set_real). 0.75/0.93 thf(decl_48, type, bot_bot_set_set_real: set_set_real). 0.75/0.93 thf(decl_49, type, bot_bot_set_set_a: set_set_a). 0.75/0.93 thf(decl_50, type, bot_bot_set_a: set_a). 0.75/0.93 thf(decl_51, type, ord_less_real: real > real > $o). 0.75/0.93 thf(decl_52, type, ord_less_set_real: set_real > set_real > $o). 0.75/0.93 thf(decl_53, type, ord_le861030508t_real: set_set_real > set_set_real > $o). 0.75/0.93 thf(decl_54, type, ord_less_set_set_a: set_set_a > set_set_a > $o). 0.75/0.93 thf(decl_55, type, ord_less_set_a: set_a > set_a > $o). 0.75/0.93 thf(decl_56, type, ord_less_a: a > a > $o). 0.75/0.93 thf(decl_57, type, ord_less_eq_real: real > real > $o). 0.75/0.93 thf(decl_58, type, ord_le1083606901un_a_a: set_Bo892884757un_a_a > set_Bo892884757un_a_a > $o). 0.75/0.93 thf(decl_59, type, ord_less_eq_set_real: set_real > set_real > $o). 0.75/0.93 thf(decl_60, type, ord_le1733505144t_real: set_set_real > set_set_real > $o). 0.75/0.93 thf(decl_61, type, ord_le318720350_set_a: set_set_a > set_set_a > $o). 0.75/0.93 thf(decl_62, type, ord_less_eq_set_a: set_a > set_a > $o). 0.75/0.93 thf(decl_63, type, ord_less_eq_a: a > a > $o). 0.75/0.93 thf(decl_64, type, top_to1688308480_a_a_o: bounde2042786143un_a_a > $o). 0.75/0.93 thf(decl_65, type, top_top_real_o: real > $o). 0.75/0.93 thf(decl_66, type, top_to1882967493un_a_a: set_Bo892884757un_a_a). 0.75/0.93 thf(decl_67, type, top_top_set_real: set_real). 0.75/0.93 thf(decl_68, type, top_to308792443un_a_a: set_se1511462347un_a_a). 0.75/0.93 thf(decl_69, type, top_top_set_set_real: set_set_real). 0.75/0.93 thf(decl_70, type, top_top_set_set_a: set_set_a). 0.75/0.93 thf(decl_71, type, top_top_set_a: set_a). 0.75/0.93 thf(decl_72, type, period720806154rbit_a: (a > a) > set_a > a > $o). 0.75/0.93 thf(decl_73, type, period1305449585riod_a: (a > a) > set_a > a > real). 0.75/0.93 thf(decl_74, type, period138238489rbit_a: (a > a) > set_a > a > $o). 0.75/0.93 thf(decl_75, type, poinca522724647ment_a: (a > a) > set_a > a > a > $o). 0.75/0.93 thf(decl_76, type, reacha1191408304tion_a: (a > a) > set_a > (a > real) > (a > bounde7994401a_real) > set_a > $o). 0.75/0.93 thf(decl_77, type, collec1061219252un_a_a: (bounde2042786143un_a_a > $o) > set_Bo892884757un_a_a). 0.75/0.93 thf(decl_78, type, collect_real: (real > $o) > set_real). 0.75/0.93 thf(decl_79, type, collect_a: (a > $o) > set_a). 0.75/0.93 thf(decl_80, type, set_or656347191t_real: real > real > set_real). 0.75/0.93 thf(decl_81, type, set_or879864736un_a_a: set_Bo892884757un_a_a > set_Bo892884757un_a_a > set_se1511462347un_a_a). 0.75/0.93 thf(decl_82, type, set_or1619725421t_real: set_real > set_real > set_set_real). 0.75/0.93 thf(decl_83, type, set_or2094724627_set_a: set_a > set_a > set_set_a). 0.75/0.93 thf(decl_84, type, set_or411607219Most_a: a > a > set_a). 0.75/0.93 thf(decl_85, type, topolo625145150un_a_a: set_Bo892884757un_a_a > (bounde2042786143un_a_a > bounde2042786143un_a_a) > $o). 0.75/0.93 thf(decl_86, type, topolo692629387a_real: set_Bo892884757un_a_a > (bounde2042786143un_a_a > real) > $o). 0.75/0.93 thf(decl_87, type, topolo1008223327_a_a_a: set_Bo892884757un_a_a > (bounde2042786143un_a_a > a) > $o). 0.75/0.93 thf(decl_88, type, topolo1439102475un_a_a: set_real > (real > bounde2042786143un_a_a) > $o). 0.75/0.93 thf(decl_89, type, topolo1175314264l_real: set_real > (real > real) > $o). 0.75/0.93 thf(decl_90, type, topolo184416082real_a: set_real > (real > a) > $o). 0.75/0.93 thf(decl_91, type, topolo851933151un_a_a: set_a > (a > bounde2042786143un_a_a) > $o). 0.75/0.93 thf(decl_92, type, topolo1710226732a_real: set_a > (a > real) > $o). 0.75/0.93 thf(decl_93, type, topolo2037415038on_a_a: set_a > (a > a) > $o). 0.75/0.93 thf(decl_94, type, topolo1859133912un_a_a: set_Bo892884757un_a_a > $o). 0.75/0.93 thf(decl_95, type, topolo1020344869n_real: set_real > $o). 0.75/0.93 thf(decl_96, type, topolo1276428101open_a: set_a > $o). 0.75/0.93 thf(decl_97, type, topolo179865346un_a_a: set_Bo892884757un_a_a > $o). 0.75/0.93 thf(decl_98, type, topolo1035021647t_real: set_real > $o). 0.75/0.93 thf(decl_99, type, topolo1000967579pact_a: set_a > $o). 0.75/0.93 thf(decl_100, type, member627784054un_a_a: bounde2042786143un_a_a > set_Bo892884757un_a_a > $o). 0.75/0.93 thf(decl_101, type, member_real: real > set_real > $o). 0.75/0.93 thf(decl_102, type, member_set_real: set_real > set_set_real > $o). 0.75/0.93 thf(decl_103, type, member_set_a: set_a > set_set_a > $o). 0.75/0.93 thf(decl_104, type, member_a: a > set_a > $o). 0.75/0.93 thf(decl_105, type, b: real). 0.75/0.93 thf(decl_106, type, c: set_a). 0.75/0.93 thf(decl_107, type, s: set_a). 0.75/0.93 thf(decl_108, type, t: real). 0.75/0.93 thf(decl_109, type, x: set_a). 0.75/0.93 thf(decl_110, type, a2: a). 0.75/0.93 thf(decl_111, type, b2: a). 0.75/0.93 thf(decl_112, type, d2: a > real). 0.75/0.93 thf(decl_113, type, d: a > real). 0.75/0.93 thf(decl_114, type, d3: real). 0.75/0.93 thf(decl_115, type, f: a > a). 0.75/0.93 thf(decl_116, type, n: a). 0.75/0.93 thf(decl_117, type, s2: real). 0.75/0.93 thf(decl_118, type, t2: real). 0.75/0.93 thf(decl_119, type, x2: a). 0.75/0.93 thf(decl_120, type, esk1_2: a > a > set_a). 0.75/0.93 thf(decl_121, type, esk2_2: a > a > set_a). 0.75/0.93 thf(decl_122, type, esk3_2: a > a > set_a). 0.75/0.93 thf(decl_123, type, esk4_2: a > a > set_a). 0.75/0.93 thf(decl_124, type, esk5_1: a > nat > set_a). 0.75/0.93 thf(decl_125, type, esk6_2: a > set_a > nat). 0.75/0.93 thf(decl_126, type, esk7_2: set_a > a > set_a). 0.75/0.93 thf(decl_127, type, esk8_1: set_a > a). 0.75/0.93 thf(decl_128, type, esk9_1: set_a > a). 0.75/0.93 thf(decl_129, type, esk10_1: a > real). 0.75/0.93 thf(decl_130, type, esk11_1: a > real). 0.75/0.93 thf(decl_131, type, esk12_3: real > real > a > a). 0.75/0.93 thf(decl_132, type, esk13_3: real > real > a > a). 0.75/0.93 thf(decl_133, type, esk14_1: a > real). 0.75/0.93 thf(decl_134, type, esk15_1: a > real). 0.75/0.93 thf(decl_135, type, esk16_1: a > real). 0.75/0.93 thf(decl_136, type, esk17_1: a > real). 0.75/0.93 thf(decl_137, type, esk18_2: set_a > set_a > a). 0.75/0.94 thf(decl_138, type, esk19_1: set_a > a). 0.75/0.94 thf(decl_139, type, esk20_2: real > real > set_real). 0.75/0.94 thf(decl_140, type, esk21_2: real > real > set_real). 0.75/0.94 thf(decl_141, type, esk22_2: real > real > set_real). 0.75/0.94 thf(decl_142, type, esk23_2: real > real > set_real). 0.75/0.94 thf(decl_143, type, esk24_1: real > nat > set_real). 0.75/0.94 thf(decl_144, type, esk25_2: real > set_real > nat). 0.75/0.94 thf(decl_145, type, esk26_2: set_real > real > set_real). 0.75/0.94 thf(decl_146, type, esk27_1: set_real > real). 0.75/0.94 thf(decl_147, type, esk28_1: set_real > real). 0.75/0.94 thf(decl_148, type, esk29_2: set_real > set_real > real). 0.75/0.94 thf(decl_149, type, esk30_1: set_real > real). 0.75/0.94 thf(decl_150, type, esk31_1: set_real > real). 0.75/0.94 thf(decl_151, type, esk32_1: set_real > real). 0.75/0.94 thf(decl_152, type, esk33_4: set_a > (a > a) > a > set_a > set_a). 0.75/0.94 thf(decl_153, type, esk34_2: set_a > (a > a) > a). 0.75/0.94 thf(decl_154, type, esk35_2: set_a > (a > a) > set_a). 0.75/0.94 thf(decl_155, type, esk36_3: set_a > (a > a) > set_a > a). 0.75/0.94 thf(decl_156, type, esk37_1: set_a > real). 0.75/0.94 thf(decl_157, type, esk38_1: set_a > real). 0.75/0.94 thf(decl_158, type, esk39_0: real). 0.75/0.94 thf(decl_159, type, esk40_0: real). 0.75/0.94 thf(decl_160, type, esk41_4: set_real > (real > real) > real > set_real > set_real). 0.75/0.94 thf(decl_161, type, esk42_2: set_real > (real > real) > real). 0.75/0.94 thf(decl_162, type, esk43_2: set_real > (real > real) > set_real). 0.75/0.94 thf(decl_163, type, esk44_3: set_real > (real > real) > set_real > real). 0.75/0.94 thf(decl_164, type, esk45_2: bounde2042786143un_a_a > bounde2042786143un_a_a > set_Bo892884757un_a_a). 0.75/0.94 thf(decl_165, type, esk46_2: bounde2042786143un_a_a > bounde2042786143un_a_a > set_Bo892884757un_a_a). 0.75/0.94 thf(decl_166, type, esk47_2: bounde2042786143un_a_a > bounde2042786143un_a_a > set_Bo892884757un_a_a). 0.75/0.94 thf(decl_167, type, esk48_2: bounde2042786143un_a_a > bounde2042786143un_a_a > set_Bo892884757un_a_a). 0.75/0.94 thf(decl_168, type, esk49_1: bounde2042786143un_a_a > nat > set_Bo892884757un_a_a). 0.75/0.94 thf(decl_169, type, esk50_2: bounde2042786143un_a_a > set_Bo892884757un_a_a > nat). 0.75/0.94 thf(decl_170, type, esk51_2: set_Bo892884757un_a_a > bounde2042786143un_a_a > set_Bo892884757un_a_a). 0.75/0.94 thf(decl_171, type, esk52_1: set_Bo892884757un_a_a > bounde2042786143un_a_a). 0.75/0.94 thf(decl_172, type, esk53_1: set_Bo892884757un_a_a > bounde2042786143un_a_a). 0.75/0.94 thf(decl_173, type, esk54_2: set_Bo892884757un_a_a > set_Bo892884757un_a_a > bounde2042786143un_a_a). 0.75/0.94 thf(decl_174, type, esk55_1: set_Bo892884757un_a_a > bounde2042786143un_a_a). 0.75/0.94 thf(decl_175, type, esk56_2: set_real > (real > real) > real). 0.75/0.94 thf(decl_176, type, esk57_2: set_real > (real > real) > real). 0.75/0.94 thf(decl_177, type, esk58_4: set_a > set_a > (a > a) > (a > a) > a). 0.75/0.94 thf(decl_178, type, esk59_2: set_a > (a > real) > a). 0.75/0.94 thf(decl_179, type, esk60_2: set_a > (a > real) > a). 0.75/0.94 thf(decl_180, type, esk61_3: (a > a) > set_a > set_a > real). 0.75/0.94 thf(decl_181, type, esk62_4: (real > real) > real > real > real > real). 0.75/0.94 thf(decl_182, type, esk63_4: (real > real) > real > real > real > real). 0.75/0.94 thf(decl_183, type, esk64_3: (bounde2042786143un_a_a > bounde2042786143un_a_a) > set_Bo892884757un_a_a > set_Bo892884757un_a_a > real). 0.75/0.94 thf(decl_184, type, esk65_4: set_a > (a > real) > a > set_real > set_a). 0.75/0.94 thf(decl_185, type, esk66_2: set_a > (a > real) > a). 0.75/0.94 thf(decl_186, type, esk67_2: set_a > (a > real) > set_real). 0.75/0.94 thf(decl_187, type, esk68_3: set_a > (a > real) > set_a > a). 0.75/0.94 thf(fact_271_atLeastatMost__empty__iff2, axiom, ![X282:real, X129:real]:((((bot_bot_set_real)=(set_or656347191t_real @ X282 @ X129))<=>~((ord_less_eq_real @ X282 @ X129)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_271_atLeastatMost__empty__iff2)). 0.75/0.94 thf(fact_318_empty__iff, axiom, ![X161:real]:(~((member_real @ X161 @ bot_bot_set_real))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_318_empty__iff)). 0.75/0.94 thf(fact_257_atLeastAtMost__iff, axiom, ![X256:real, X257:real, X258:real]:(((member_real @ X256 @ (set_or656347191t_real @ X257 @ X258))<=>((ord_less_eq_real @ X257 @ X256)&(ord_less_eq_real @ X256 @ X258)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_257_atLeastAtMost__iff)). 0.75/0.94 thf(fact_272_eucl__less__le__not__le, axiom, ((ord_less_real)=(^[X283:real, X284:real]:(((ord_less_eq_real @ X283 @ X284)&~((ord_less_eq_real @ X284 @ X283)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_272_eucl__less__le__not__le)). 0.75/0.94 thf(fact_62_local_Oexistence__ivl__undefined, axiom, ![X2:a]:((~((member_a @ X2 @ x))=>((auto_l612940ivl0_a @ f @ x @ X2)=(bot_bot_set_real)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_62_local_Oexistence__ivl__undefined)). 0.75/0.94 thf(fact_241_T__ex, axiom, ![X5:a]:(((member_a @ X5 @ (line_c1152468841ment_a @ a2 @ b2))=>(ord_less_eq_set_real @ (set_or656347191t_real @ (uminus_uminus_real @ t) @ t) @ (auto_l612940ivl0_a @ f @ x @ X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_241_T__ex)). 0.75/0.94 thf(fact_18_that_I3_J, axiom, (ord_less_eq_real @ s2 @ t), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_18_that_I3_J)). 0.75/0.94 thf(fact_181_neg__less__eq__nonneg, axiom, ![X150:real]:(((ord_less_eq_real @ (uminus_uminus_real @ X150) @ X150)<=>(ord_less_eq_real @ zero_zero_real @ X150))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_181_neg__less__eq__nonneg)). 0.75/0.94 thf(fact_17_that_I2_J, axiom, (ord_less_real @ zero_zero_real @ s2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_17_that_I2_J)). 0.75/0.94 thf(conj_0, conjecture, (member_a @ x2 @ x), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.75/0.94 thf(fact_212_minus__le__iff, axiom, ![X174:real, X129:real]:(((ord_less_eq_real @ (uminus_uminus_real @ X174) @ X129)<=>(ord_less_eq_real @ (uminus_uminus_real @ X129) @ X174))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_212_minus__le__iff)). 0.75/0.94 thf(fact_312_subset__antisym, axiom, ![X351:set_real, X352:set_real]:(((ord_less_eq_set_real @ X351 @ X352)=>((ord_less_eq_set_real @ X352 @ X351)=>((X351)=(X352))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_312_subset__antisym)). 0.75/0.94 thf(fact_5_that_I1_J, axiom, (member_a @ x2 @ (line_c1152468841ment_a @ a2 @ b2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_5_that_I1_J)). 0.75/0.94 thf(fact_336_empty__subsetI, axiom, ![X380:set_real]:((ord_less_eq_set_real @ bot_bot_set_real @ X380)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_336_empty__subsetI)). 0.75/0.94 thf(c_0_14, plain, ![X282:real, X129:real]:((((bot_bot_set_real)=(set_or656347191t_real @ X282 @ X129))<=>~(ord_less_eq_real @ X282 @ X129))), inference(fof_simplification,[status(thm)],[fact_271_atLeastatMost__empty__iff2])). 0.75/0.94 thf(c_0_15, plain, ![X161:real]:(~(member_real @ X161 @ bot_bot_set_real)), inference(fof_simplification,[status(thm)],[fact_318_empty__iff])). 0.75/0.94 thf(c_0_16, plain, ![X1192:real, X1193:real, X1194:real]:(((((ord_less_eq_real @ X1193 @ X1192)|~(member_real @ X1192 @ (set_or656347191t_real @ X1193 @ X1194)))&((ord_less_eq_real @ X1192 @ X1194)|~(member_real @ X1192 @ (set_or656347191t_real @ X1193 @ X1194))))&(~(ord_less_eq_real @ X1193 @ X1192)|~(ord_less_eq_real @ X1192 @ X1194)|(member_real @ X1192 @ (set_or656347191t_real @ X1193 @ X1194))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_257_atLeastAtMost__iff])])])). 0.75/0.94 thf(c_0_17, plain, ![X1265:real, X1266:real]:(((((bot_bot_set_real)!=(set_or656347191t_real @ X1265 @ X1266))|~(ord_less_eq_real @ X1265 @ X1266))&((ord_less_eq_real @ X1265 @ X1266)|((bot_bot_set_real)=(set_or656347191t_real @ X1265 @ X1266))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])). 0.75/0.94 thf(c_0_18, plain, ![X1199:real]:(~(member_real @ X1199 @ bot_bot_set_real)), inference(variable_rename,[status(thm)],[c_0_15])). 0.75/0.94 thf(c_0_19, plain, ![X965:real, X966:real]:(((ord_less_real @ X965 @ X966)<=>((ord_less_eq_real @ X965 @ X966)&~(ord_less_eq_real @ X966 @ X965)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_272_eucl__less__le__not__le])])])). 0.75/0.94 thf(c_0_20, plain, ![X2:a]:((~(member_a @ X2 @ x)=>((auto_l612940ivl0_a @ f @ x @ X2)=(bot_bot_set_real)))), inference(fof_simplification,[status(thm)],[fact_62_local_Oexistence__ivl__undefined])). 0.75/0.94 thf(c_0_21, plain, ![X1:real, X3:real, X4:real]:(((member_real @ X3 @ (set_or656347191t_real @ X1 @ X4))|~((ord_less_eq_real @ X1 @ X3))|~((ord_less_eq_real @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.75/0.94 thf(c_0_22, plain, ![X1:real, X3:real]:(((ord_less_eq_real @ X1 @ X3)|((bot_bot_set_real)=(set_or656347191t_real @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.75/0.94 thf(c_0_23, plain, ![X1:real]:(~((member_real @ X1 @ bot_bot_set_real))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.75/0.94 thf(c_0_24, plain, ![X1378:real, X1379:real]:(((((ord_less_eq_real @ X1378 @ X1379)|~(ord_less_real @ X1378 @ X1379))&(~(ord_less_eq_real @ X1379 @ X1378)|~(ord_less_real @ X1378 @ X1379)))&(~(ord_less_eq_real @ X1378 @ X1379)|(ord_less_eq_real @ X1379 @ X1378)|(ord_less_real @ X1378 @ X1379)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])). 0.75/0.94 thf(c_0_25, plain, ![X1433:a]:((~(member_a @ X1433 @ (line_c1152468841ment_a @ a2 @ b2))|(ord_less_eq_set_real @ (set_or656347191t_real @ (uminus_uminus_real @ t) @ t) @ (auto_l612940ivl0_a @ f @ x @ X1433)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_241_T__ex])])). 0.75/0.94 thf(c_0_26, plain, ![X988:a]:(((member_a @ X988 @ x)|((auto_l612940ivl0_a @ f @ x @ X988)=(bot_bot_set_real)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])). 0.75/0.94 thf(c_0_27, plain, ![X1:real, X3:real, X4:real]:(((ord_less_eq_real @ X1 @ X3)|~((ord_less_eq_real @ X4 @ X3))|~((ord_less_eq_real @ X1 @ X4)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])). 0.75/0.94 thf(c_0_28, plain, (ord_less_eq_real @ s2 @ t), inference(split_conjunct,[status(thm)],[fact_18_that_I3_J])). 0.75/0.94 thf(c_0_29, plain, ![X1232:real]:(((~(ord_less_eq_real @ (uminus_uminus_real @ X1232) @ X1232)|(ord_less_eq_real @ zero_zero_real @ X1232))&(~(ord_less_eq_real @ zero_zero_real @ X1232)|(ord_less_eq_real @ (uminus_uminus_real @ X1232) @ X1232)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_181_neg__less__eq__nonneg])])). 0.75/0.94 thf(c_0_30, plain, ![X1:real, X3:real]:(((ord_less_eq_real @ X1 @ X3)|~((ord_less_real @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.75/0.94 thf(c_0_31, plain, (ord_less_real @ zero_zero_real @ s2), inference(split_conjunct,[status(thm)],[fact_17_that_I2_J])). 0.75/0.94 thf(c_0_32, plain, ![X2:a]:(((ord_less_eq_set_real @ (set_or656347191t_real @ (uminus_uminus_real @ t) @ t) @ (auto_l612940ivl0_a @ f @ x @ X2))|~((member_a @ X2 @ (line_c1152468841ment_a @ a2 @ b2))))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.75/0.94 thf(c_0_33, plain, ![X2:a]:(((member_a @ X2 @ x)|((auto_l612940ivl0_a @ f @ x @ X2)=(bot_bot_set_real)))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.75/0.94 thf(c_0_34, negated_conjecture, ~(member_a @ x2 @ x), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.75/0.94 thf(c_0_35, plain, ![X1416:real, X1417:real]:(((~(ord_less_eq_real @ (uminus_uminus_real @ X1416) @ X1417)|(ord_less_eq_real @ (uminus_uminus_real @ X1417) @ X1416))&(~(ord_less_eq_real @ (uminus_uminus_real @ X1417) @ X1416)|(ord_less_eq_real @ (uminus_uminus_real @ X1416) @ X1417)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_212_minus__le__iff])])). 0.75/0.94 thf(c_0_36, plain, ![X1:real]:(((ord_less_eq_real @ X1 @ t)|~((ord_less_eq_real @ X1 @ s2)))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.75/0.94 thf(c_0_37, plain, ![X1:real]:(((ord_less_eq_real @ (uminus_uminus_real @ X1) @ X1)|~((ord_less_eq_real @ zero_zero_real @ X1)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.75/0.94 thf(c_0_38, plain, (ord_less_eq_real @ zero_zero_real @ s2), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.75/0.94 thf(c_0_39, plain, ![X1350:set_real, X1351:set_real]:((~(ord_less_eq_set_real @ X1350 @ X1351)|(~(ord_less_eq_set_real @ X1351 @ X1350)|((X1350)=(X1351))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_312_subset__antisym])])). 0.75/0.94 thf(c_0_40, plain, ![X2:a]:(((ord_less_eq_set_real @ (set_or656347191t_real @ (uminus_uminus_real @ t) @ t) @ bot_bot_set_real)|(member_a @ X2 @ x)|~((member_a @ X2 @ (line_c1152468841ment_a @ a2 @ b2))))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.75/0.94 thf(c_0_41, plain, (member_a @ x2 @ (line_c1152468841ment_a @ a2 @ b2)), inference(split_conjunct,[status(thm)],[fact_5_that_I1_J])). 0.75/0.94 thf(c_0_42, negated_conjecture, ~((member_a @ x2 @ x)), inference(split_conjunct,[status(thm)],[c_0_34])). 0.75/0.94 thf(c_0_43, plain, ![X1276:set_real]:((ord_less_eq_set_real @ bot_bot_set_real @ X1276)), inference(variable_rename,[status(thm)],[fact_336_empty__subsetI])). 0.75/0.94 thf(c_0_44, plain, ![X1:real, X3:real]:(((ord_less_eq_real @ (uminus_uminus_real @ X3) @ X1)|~((ord_less_eq_real @ (uminus_uminus_real @ X1) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.75/0.94 thf(c_0_45, plain, (ord_less_eq_real @ (uminus_uminus_real @ s2) @ t), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])). 0.75/0.94 thf(c_0_46, plain, ![X29:set_real, X18:set_real]:((((X18)=(X29))|~((ord_less_eq_set_real @ X18 @ X29))|~((ord_less_eq_set_real @ X29 @ X18)))), inference(split_conjunct,[status(thm)],[c_0_39])). 0.75/0.94 thf(c_0_47, plain, (ord_less_eq_set_real @ (set_or656347191t_real @ (uminus_uminus_real @ t) @ t) @ bot_bot_set_real), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])). 0.75/0.94 thf(c_0_48, plain, ![X18:set_real]:((ord_less_eq_set_real @ bot_bot_set_real @ X18)), inference(split_conjunct,[status(thm)],[c_0_43])). 0.75/0.94 thf(c_0_49, plain, (ord_less_eq_real @ (uminus_uminus_real @ t) @ s2), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.75/0.94 thf(c_0_50, plain, ![X1:real, X3:real]:((((bot_bot_set_real)!=(set_or656347191t_real @ X1 @ X3))|~((ord_less_eq_real @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.75/0.94 thf(c_0_51, plain, ((set_or656347191t_real @ (uminus_uminus_real @ t) @ t)=(bot_bot_set_real)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])])). 0.75/0.94 thf(c_0_52, plain, (ord_less_eq_real @ (uminus_uminus_real @ t) @ t), inference(spm,[status(thm)],[c_0_36, c_0_49])). 0.75/0.94 thf(c_0_53, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52])]), ['proof']). 0.75/0.94 # SZS output end CNFRefutation 0.75/0.94 # Parsed axioms : 460 0.75/0.94 # Removed by relevancy pruning/SinE : 161 0.75/0.94 # Initial clauses : 513 0.75/0.94 # Removed in clause preprocessing : 21 0.75/0.94 # Initial clauses in saturation : 492 0.75/0.94 # Processed clauses : 3538 0.75/0.94 # ...of these trivial : 65 0.75/0.94 # ...subsumed : 1641 0.75/0.94 # ...remaining for further processing : 1832 0.75/0.94 # Other redundant clauses eliminated : 422 0.75/0.94 # Clauses deleted for lack of memory : 0 0.75/0.94 # Backward-subsumed : 52 0.75/0.94 # Backward-rewritten : 14 0.75/0.94 # Generated clauses : 24210 0.75/0.94 # ...of the previous two non-redundant : 22058 0.75/0.94 # ...aggressively subsumed : 0 0.75/0.94 # Contextual simplify-reflections : 80 0.75/0.94 # Paramodulations : 23702 0.75/0.94 # Factorizations : 56 0.75/0.94 # NegExts : 0 0.75/0.94 # Equation resolutions : 447 0.75/0.94 # Propositional unsat checks : 0 0.75/0.94 # Propositional check models : 0 0.75/0.94 # Propositional check unsatisfiable : 0 0.75/0.94 # Propositional clauses : 0 0.75/0.94 # Propositional clauses after purity: 0 0.75/0.94 # Propositional unsat core size : 0 0.75/0.94 # Propositional preprocessing time : 0.000 0.75/0.94 # Propositional encoding time : 0.000 0.75/0.94 # Propositional solver time : 0.000 0.75/0.94 # Success case prop preproc time : 0.000 0.75/0.94 # Success case prop encoding time : 0.000 0.75/0.94 # Success case prop solver time : 0.000 0.75/0.94 # Current number of processed clauses : 1363 0.75/0.94 # Positive orientable unit clauses : 112 0.75/0.94 # Positive unorientable unit clauses: 9 0.75/0.94 # Negative unit clauses : 75 0.75/0.94 # Non-unit-clauses : 1167 0.75/0.94 # Current number of unprocessed clauses: 19320 0.75/0.94 # ...number of literals in the above : 71994 0.75/0.94 # Current number of archived formulas : 0 0.75/0.94 # Current number of archived clauses : 443 0.75/0.94 # Clause-clause subsumption calls (NU) : 260422 0.75/0.94 # Rec. Clause-clause subsumption calls : 97763 0.75/0.94 # Non-unit clause-clause subsumptions : 983 0.75/0.94 # Unit Clause-clause subsumption calls : 8991 0.75/0.94 # Rewrite failures with RHS unbound : 0 0.75/0.94 # BW rewrite match attempts : 280 0.75/0.94 # BW rewrite match successes : 20 0.75/0.94 # Condensation attempts : 0 0.75/0.94 # Condensation successes : 0 0.75/0.94 # Termbank termtop insertions : 370865 0.75/0.94 0.75/0.94 # ------------------------------------------------- 0.75/0.94 # User time : 0.487 s 0.75/0.94 # System time : 0.020 s 0.75/0.94 # Total time : 0.507 s 0.75/0.94 # Maximum resident set size: 4332 pages 0.75/0.94 0.75/0.94 # ------------------------------------------------- 0.75/0.94 # User time : 0.501 s 0.75/0.94 # System time : 0.022 s 0.75/0.94 # Total time : 0.522 s 0.75/0.94 # Maximum resident set size: 2360 pages 0.75/0.94 EOF