0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.10 % Command : run_E %s %d THM 0.10/0.30 % Computer : n025.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 07:04:26 EDT 2022 0.10/0.30 % CPUTime : 0.14/0.43 Running higher-order on 8 cores theorem proving 0.14/0.43 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=8 --cpu-limit=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.43 # Version: 3.0pre003-ho 0.14/0.49 # Preprocessing class: HSLMSMSSLLLCHSA. 0.14/0.49 # Scheduled 6 strats onto 8 cores with 120 seconds (960 total) 0.14/0.49 # Starting lpo1_fix with 360s (3) cores 0.14/0.49 # Starting full_lambda_9 with 120s (1) cores 0.14/0.49 # Starting almost_fo_4 with 120s (1) cores 0.14/0.49 # Starting new_ho_9 with 120s (1) cores 0.14/0.49 # Starting pre_casc_4 with 120s (1) cores 0.14/0.49 # Starting ho_unfolding_6 with 120s (1) cores 0.14/0.49 # lpo1_fix with pid 21118 completed with status 0 0.14/0.49 # Result found by lpo1_fix 0.14/0.49 # Preprocessing class: HSLMSMSSLLLCHSA. 0.14/0.49 # Scheduled 6 strats onto 8 cores with 120 seconds (960 total) 0.14/0.49 # Starting lpo1_fix with 360s (3) cores 0.14/0.49 # No SInE strategy applied 0.14/0.49 # Search class: HGHSM-FSLM32-MHSMMSBN 0.14/0.49 # Scheduled 11 strats onto 3 cores with 360 seconds (360 total) 0.14/0.49 # Starting full_lambda_5 with 33s (1) cores 0.14/0.49 # Starting new_ho_6 with 33s (1) cores 0.14/0.49 # Starting pre_casc_4 with 33s (1) cores 0.14/0.49 # new_ho_6 with pid 21130 completed with status 0 0.14/0.49 # Result found by new_ho_6 0.14/0.49 # Preprocessing class: HSLMSMSSLLLCHSA. 0.14/0.49 # Scheduled 6 strats onto 8 cores with 120 seconds (960 total) 0.14/0.49 # Starting lpo1_fix with 360s (3) cores 0.14/0.49 # No SInE strategy applied 0.14/0.49 # Search class: HGHSM-FSLM32-MHSMMSBN 0.14/0.49 # Scheduled 11 strats onto 3 cores with 360 seconds (360 total) 0.14/0.49 # Starting full_lambda_5 with 33s (1) cores 0.14/0.49 # Starting new_ho_6 with 33s (1) cores 0.14/0.49 # Preprocessing time : 0.008 s 0.14/0.49 0.14/0.49 # Proof found! 0.14/0.49 # SZS status Theorem 0.14/0.49 # SZS output start CNFRefutation 0.14/0.49 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 0.14/0.49 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 0.14/0.49 thf(decl_24, type, eps: ($i > $o) > $i). 0.14/0.49 thf(decl_25, type, in: $i > $i > $o). 0.14/0.49 thf(decl_26, type, d_Subq: $i > $i > $o). 0.14/0.49 thf(decl_27, type, emptyset: $i). 0.14/0.49 thf(decl_28, type, union: $i > $i). 0.14/0.49 thf(decl_29, type, power: $i > $i). 0.14/0.49 thf(decl_30, type, repl: $i > ($i > $i) > $i). 0.14/0.49 thf(decl_31, type, d_Union_closed: $i > $o). 0.14/0.49 thf(decl_32, type, d_Power_closed: $i > $o). 0.14/0.49 thf(decl_33, type, d_Repl_closed: $i > $o). 0.14/0.49 thf(decl_34, type, d_ZF_closed: $i > $o). 0.14/0.49 thf(decl_35, type, univof: $i > $i). 0.14/0.49 thf(decl_36, type, if: $o > $i > $i > $i). 0.14/0.49 thf(decl_37, type, nIn: $i > $i > $o). 0.14/0.49 thf(decl_38, type, d_UPair: $i > $i > $i). 0.14/0.49 thf(decl_39, type, d_Sing: $i > $i). 0.14/0.49 thf(decl_40, type, binunion: $i > $i > $i). 0.14/0.49 thf(decl_41, type, famunion: $i > ($i > $i) > $i). 0.14/0.49 thf(decl_42, type, d_Sep: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 0.14/0.49 thf(decl_44, type, setminus: $i > $i > $i). 0.14/0.49 thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 0.14/0.49 thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 0.14/0.49 thf(decl_47, type, ordsucc: $i > $i). 0.14/0.49 thf(decl_48, type, nat_p: $i > $o). 0.14/0.49 thf(decl_49, type, omega: $i). 0.14/0.49 thf(decl_50, type, d_Inj1: $i > $i). 0.14/0.49 thf(decl_51, type, d_Inj0: $i > $i). 0.14/0.49 thf(decl_52, type, d_Unj: $i > $i). 0.14/0.49 thf(decl_53, type, pair: $i > $i > $i). 0.14/0.49 thf(decl_54, type, proj0: $i > $i). 0.14/0.49 thf(decl_55, type, proj1: $i > $i). 0.14/0.49 thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i). 0.14/0.49 thf(decl_57, type, setprod: $i > $i > $i). 0.14/0.49 thf(decl_58, type, ap: $i > $i > $i). 0.14/0.49 thf(decl_59, type, pair_p: $i > $o). 0.14/0.49 thf(decl_60, type, d_Pi: $i > ($i > $i) > $i). 0.14/0.49 thf(decl_61, type, imp: $o > $o > $o). 0.14/0.49 thf(decl_62, type, d_not: $o > $o). 0.14/0.49 thf(decl_63, type, wel: $o > $o). 0.14/0.49 thf(decl_64, type, obvious: $o). 0.14/0.49 thf(decl_65, type, l_ec: $o > $o > $o). 0.14/0.49 thf(decl_66, type, d_and: $o > $o > $o). 0.14/0.49 thf(decl_67, type, l_or: $o > $o > $o). 0.14/0.49 thf(decl_68, type, orec: $o > $o > $o). 0.14/0.49 thf(decl_69, type, l_iff: $o > $o > $o). 0.14/0.49 thf(decl_70, type, all: $i > ($i > $o) > $o). 0.14/0.49 thf(decl_71, type, non: $i > ($i > $o) > $i > $o). 0.14/0.49 thf(decl_72, type, l_some: $i > ($i > $o) > $o). 0.14/0.49 thf(decl_73, type, or3: $o > $o > $o > $o). 0.14/0.49 thf(decl_74, type, and3: $o > $o > $o > $o). 0.14/0.49 thf(decl_75, type, ec3: $o > $o > $o > $o). 0.14/0.49 thf(decl_76, type, orec3: $o > $o > $o > $o). 0.14/0.49 thf(decl_77, type, e_is: $i > $i > $i > $o). 0.14/0.49 thf(decl_78, type, amone: $i > ($i > $o) > $o). 0.14/0.49 thf(decl_79, type, one: $i > ($i > $o) > $o). 0.14/0.49 thf(decl_80, type, ind: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_81, type, injective: $i > $i > $i > $o). 0.14/0.49 thf(decl_82, type, image: $i > $i > $i > $i > $o). 0.14/0.49 thf(decl_83, type, tofs: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_84, type, soft: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_85, type, inverse: $i > $i > $i > $i). 0.14/0.49 thf(decl_86, type, surjective: $i > $i > $i > $o). 0.14/0.49 thf(decl_87, type, bijective: $i > $i > $i > $o). 0.14/0.49 thf(decl_88, type, invf: $i > $i > $i > $i). 0.14/0.49 thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i). 0.14/0.49 thf(decl_91, type, out: $i > ($i > $o) > $i > $i). 0.14/0.49 thf(decl_92, type, d_pair: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_93, type, first: $i > $i > $i > $i). 0.14/0.49 thf(decl_94, type, second: $i > $i > $i > $i). 0.14/0.49 thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o). 0.14/0.49 thf(decl_96, type, ite: $o > $i > $i > $i > $i). 0.14/0.49 thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_99, type, wissel: $i > $i > $i > $i). 0.14/0.49 thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_101, type, r_ec: $o > $o > $o). 0.14/0.49 thf(decl_102, type, esti: $i > $i > $i > $o). 0.14/0.49 thf(decl_103, type, empty: $i > $i > $o). 0.14/0.49 thf(decl_104, type, nonempty: $i > $i > $o). 0.14/0.49 thf(decl_105, type, incl: $i > $i > $i > $o). 0.14/0.49 thf(decl_106, type, st_disj: $i > $i > $i > $o). 0.14/0.49 thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o). 0.14/0.49 thf(decl_108, type, unmore: $i > $i > $i > $i). 0.14/0.49 thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i). 0.14/0.49 thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 0.14/0.49 thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o). 0.14/0.49 thf(decl_112, type, ect: $i > ($i > $i > $o) > $i). 0.14/0.49 thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i). 0.14/0.49 thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i). 0.14/0.49 thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i). 0.14/0.49 thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 0.14/0.49 thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 0.14/0.49 thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 0.14/0.49 thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 0.14/0.49 thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 0.14/0.49 thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 0.14/0.49 thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_123, type, nat: $i). 0.14/0.49 thf(decl_124, type, n_is: $i > $i > $o). 0.14/0.49 thf(decl_125, type, nis: $i > $i > $o). 0.14/0.49 thf(decl_126, type, n_in: $i > $i > $o). 0.14/0.49 thf(decl_127, type, n_some: ($i > $o) > $o). 0.14/0.49 thf(decl_128, type, n_all: ($i > $o) > $o). 0.14/0.49 thf(decl_129, type, n_one: ($i > $o) > $o). 0.14/0.49 thf(decl_130, type, n_1: $i). 0.14/0.49 thf(decl_131, type, cond1: $i > $o). 0.14/0.49 thf(decl_132, type, cond2: $i > $o). 0.14/0.49 thf(decl_133, type, i1_s: ($i > $o) > $i). 0.14/0.49 thf(decl_134, type, d_22_prop1: $i > $o). 0.14/0.49 thf(decl_135, type, d_23_prop1: $i > $o). 0.14/0.49 thf(decl_136, type, d_24_prop1: $i > $o). 0.14/0.49 thf(decl_137, type, d_24_prop2: $i > $i > $o). 0.14/0.49 thf(decl_138, type, prop3: $i > $i > $i > $o). 0.14/0.49 thf(decl_139, type, prop4: $i > $o). 0.14/0.49 thf(decl_140, type, d_24_g: $i > $i). 0.14/0.49 thf(decl_141, type, plus: $i > $i). 0.14/0.49 thf(decl_142, type, n_pl: $i > $i > $i). 0.14/0.49 thf(decl_143, type, d_25_prop1: $i > $i > $i > $o). 0.14/0.49 thf(decl_144, type, d_26_prop1: $i > $i > $o). 0.14/0.49 thf(decl_145, type, d_27_prop1: $i > $i > $o). 0.14/0.49 thf(decl_146, type, d_28_prop1: $i > $i > $i > $o). 0.14/0.49 thf(decl_147, type, diffprop: $i > $i > $i > $o). 0.14/0.49 thf(decl_148, type, d_29_ii: $i > $i > $o). 0.14/0.49 thf(decl_149, type, iii: $i > $i > $o). 0.14/0.49 thf(decl_150, type, d_29_prop1: $i > $i > $o). 0.14/0.49 thf(decl_151, type, moreis: $i > $i > $o). 0.14/0.49 thf(decl_152, type, lessis: $i > $i > $o). 0.14/0.49 thf(decl_153, type, epred1_2: $i > $i > $o). 0.14/0.49 thf(decl_154, type, epred2_2: $i > $i > $o). 0.14/0.49 thf(decl_155, type, epred3_2: $i > $i > $o). 0.14/0.49 thf(decl_156, type, epred4_2: $i > $i > $o). 0.14/0.49 thf(decl_157, type, esk1_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_158, type, esk2_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_159, type, esk3_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_160, type, esk4_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_161, type, esk5_3: $i > $i > ($i > $i) > $i). 0.14/0.49 thf(decl_162, type, esk6_4: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_163, type, esk7_2: $i > $i > $i). 0.14/0.49 thf(decl_164, type, esk8_2: $i > $i > $i). 0.14/0.49 thf(decl_165, type, esk9_1: $i > $i). 0.14/0.49 thf(decl_166, type, esk10_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_167, type, esk11_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_168, type, esk12_3: $i > ($i > $o) > $i > $i). 0.14/0.49 thf(decl_169, type, esk13_1: ($i > $o) > $i). 0.14/0.49 thf(decl_170, type, esk14_1: ($i > $o) > $i). 0.14/0.49 thf(decl_171, type, esk15_2: $i > $i > $i). 0.14/0.49 thf(decl_172, type, esk16_3: $i > ($i > $i) > ($i > $i) > $i). 0.14/0.49 thf(decl_173, type, esk17_4: $i > ($i > $i) > $i > $i > $i). 0.14/0.49 thf(decl_174, type, esk18_2: $i > $i > $i). 0.14/0.49 thf(decl_175, type, esk19_3: $i > ($i > $i) > ($i > $i) > $i). 0.14/0.49 thf(decl_176, type, epred5_1: $i > $i > $o). 0.14/0.49 thf(decl_177, type, esk20_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_178, type, esk21_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_179, type, esk22_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_180, type, esk23_3: $i > ($i > $i) > $i > $i). 0.14/0.49 thf(decl_181, type, esk24_1: ($i > $o) > $i). 0.14/0.49 thf(decl_182, type, esk25_2: ($i > $o) > ($i > $o) > $i). 0.14/0.49 thf(decl_183, type, epred6_2: ($i > $o) > $i > $i > $o). 0.14/0.49 thf(decl_184, type, esk26_2: $i > $i > $i). 0.14/0.49 thf(decl_185, type, epred7_1: $i > $i > $o). 0.14/0.49 thf(decl_186, type, esk27_1: $i > $i). 0.14/0.49 thf(decl_187, type, esk28_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_188, type, epred8_1: $i > $i > $o). 0.14/0.49 thf(decl_189, type, esk29_0: $i). 0.14/0.49 thf(decl_190, type, esk30_1: $i > $i). 0.14/0.49 thf(decl_191, type, esk31_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_192, type, esk32_2: $i > $i > $i). 0.14/0.49 thf(decl_193, type, esk33_2: $i > $i > $i). 0.14/0.49 thf(decl_194, type, esk34_2: $i > $i > $i). 0.14/0.49 thf(decl_195, type, esk35_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_196, type, esk36_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_197, type, esk37_2: $i > $i > $i). 0.14/0.49 thf(decl_198, type, esk38_2: $i > $i > $i). 0.14/0.49 thf(decl_199, type, esk39_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_200, type, esk40_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_201, type, esk41_2: $i > $i > $i). 0.14/0.49 thf(decl_202, type, esk42_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_203, type, esk43_2: $i > $i > $i). 0.14/0.49 thf(decl_204, type, esk44_2: $i > $i > $i). 0.14/0.49 thf(decl_205, type, esk45_2: $i > $i > $i). 0.14/0.49 thf(decl_206, type, esk46_2: $i > $i > $i). 0.14/0.49 thf(decl_207, type, esk47_2: $i > $i > $i). 0.14/0.49 thf(decl_208, type, esk48_2: $i > $i > $i). 0.14/0.49 thf(decl_209, type, esk49_2: $i > $i > $i). 0.14/0.49 thf(decl_210, type, esk50_1: $i > $i). 0.14/0.49 thf(decl_211, type, esk51_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_212, type, esk52_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_213, type, esk53_1: $i > $i). 0.14/0.49 thf(decl_214, type, esk54_2: $i > $i > $i). 0.14/0.49 thf(decl_215, type, esk55_2: $i > $i > $i). 0.14/0.49 thf(decl_216, type, esk56_2: $i > $i > $i). 0.14/0.49 thf(decl_217, type, esk57_2: $i > $i > $i). 0.14/0.49 thf(decl_218, type, esk58_2: $i > $i > $i). 0.14/0.49 thf(decl_219, type, esk59_2: $i > $i > $i). 0.14/0.49 thf(decl_220, type, esk60_2: $i > $i > $i). 0.14/0.49 thf(decl_221, type, esk61_2: $i > $i > $i). 0.14/0.49 thf(decl_222, type, esk62_2: $i > $i > $i). 0.14/0.49 thf(decl_223, type, epred9_3: $i > $o > $i > $i > $o). 0.14/0.49 thf(decl_224, type, esk63_2: $i > $i > $i > $i). 0.14/0.49 thf(decl_225, type, epred10_2: ($i > $o) > $i > $i > $o). 0.14/0.49 thf(decl_226, type, esk64_2: $i > ($i > $o) > $i > $i). 0.14/0.49 thf(decl_227, type, epred11_1: $i > $i > $o). 0.14/0.49 thf(decl_228, type, epred12_2: $i > ($i > ($i > $i) > $i) > $i > $o). 0.14/0.49 thf(decl_229, type, epred13_0: $i > $o). 0.14/0.49 thf(decl_230, type, esk65_0: $i > ($i > $i) > $i). 0.14/0.49 thf(decl_231, type, esk66_0: $i > ($i > $i) > $i). 0.14/0.49 thf(decl_232, type, epred14_0: $i > $o). 0.14/0.49 thf(decl_233, type, epred15_0: $i > $o). 0.14/0.49 thf(decl_234, type, esk67_1: ($i > $i) > $i > $i). 0.14/0.49 thf(decl_235, type, esk68_1: $i > $i > $i). 0.14/0.49 thf(decl_236, type, epred16_1: $i > $i > $o). 0.14/0.49 thf(decl_237, type, esk69_1: ($i > $i) > $i > $i). 0.14/0.49 thf(decl_238, type, epred17_2: ($i > $i) > $i > $i > $o). 0.14/0.49 thf(decl_239, type, epred18_2: $i > $i > $i > $o). 0.14/0.49 thf(decl_240, type, esk70_3: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_241, type, esk71_2: $i > $i > $i > $i). 0.14/0.49 thf(decl_242, type, epred19_3: $i > $o > $i > $i > $o). 0.14/0.49 thf(decl_243, type, epred20_2: $i > $i > $i > $o). 0.14/0.49 thf(decl_244, type, epred21_2: ($i > $i > $o) > $i > $i > $o). 0.14/0.49 thf(decl_245, type, epred22_4: $i > $i > ($i > $i > $o) > $i > $i > $o). 0.14/0.49 thf(decl_246, type, epred23_0: $i > $o). 0.14/0.49 thf(decl_247, type, esk72_1: $i > $i > $i). 0.14/0.49 thf(decl_248, type, epred24_1: $i > $i > $o). 0.14/0.49 thf(decl_249, type, esk73_4: $i > ($i > ($i > $i) > $i) > $i > ($i > $i > $o) > $i). 0.14/0.49 thf(decl_250, type, esk74_4: $i > ($i > ($i > $i) > $i) > $i > ($i > $i > $o) > $i > $i). 0.14/0.49 thf(decl_251, type, epred25_3: $i > ($i > ($i > $i) > $i) > $i > $i > $i > $o). 0.14/0.49 thf(decl_252, type, esk75_5: $i > ($i > ($i > $i) > $i) > $i > $i > ($i > $i) > $i). 0.14/0.49 thf(decl_253, type, esk76_2: $i > ($i > $o) > $i). 0.14/0.49 thf(decl_254, type, epred26_1: $i > $i > $o). 0.14/0.49 thf(decl_255, type, esk77_1: $i > $i). 0.14/0.49 thf(decl_256, type, esk78_1: $i > $i). 0.14/0.49 thf(decl_257, type, esk79_2: $i > $i > $i). 0.14/0.49 thf(decl_258, type, esk80_3: $i > $i > ($i > $i) > $i). 0.14/0.49 thf(decl_259, type, esk81_4: $i > $i > $i > $i > $i). 0.14/0.49 thf(decl_260, type, esk82_3: $i > $i > $i > $i). 0.14/0.49 thf(decl_261, type, esk83_3: $i > $i > ($i > $i > $o) > $i). 0.14/0.49 thf(decl_262, type, esk84_5: $i > $i > ($i > $i > $o) > $i > $i > $i). 0.14/0.49 thf(decl_263, type, esk85_2: $i > $i > $i). 0.14/0.49 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_d_not)). 0.14/0.49 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_imp)). 0.14/0.49 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_all_of)). 0.14/0.49 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_is_of)). 0.14/0.49 thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_non)). 0.14/0.49 thf(def_l_some, axiom, ((l_some)=(^[X1:$i, X2:$i > $o]:((d_not @ ((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (non @ X1 @ X2))))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_l_some)). 0.14/0.49 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_e_is)). 0.14/0.49 thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_diffprop)). 0.14/0.49 thf(def_n_is, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_n_is)). 0.14/0.49 thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_d_29_ii)). 0.14/0.49 thf(def_n_some, axiom, ((n_some)=(^[Z0:$i > $o]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>((((((Z0 @ X439)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_n_some)). 0.14/0.49 thf(satz18b, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((d_29_ii @ (ordsucc @ X1) @ X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz18b)). 0.14/0.49 thf(satz4e, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((n_is @ (ordsucc @ X1) @ (n_pl @ X1 @ n_1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz4e)). 0.14/0.49 thf(n_1_p, axiom, (is_of @ n_1 @ (^[X1:$i]:((in @ X1 @ nat)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', n_1_p)). 0.14/0.49 thf(c_0_14, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 0.14/0.49 thf(c_0_15, plain, ((imp)=(^[Z0:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 0.14/0.49 thf(c_0_16, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 0.14/0.49 thf(c_0_17, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 0.14/0.49 thf(c_0_18, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])). 0.14/0.49 thf(c_0_19, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])). 0.14/0.49 thf(c_0_20, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:((((((![X412:$i]:(((((in @ X412 @ Z0)))=>((((((Z1 @ X412)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])). 0.14/0.49 thf(c_0_21, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])). 0.14/0.49 thf(c_0_22, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])). 0.14/0.49 thf(c_0_23, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 0.14/0.49 thf(c_0_24, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:((((((![X412:$i]:(((((in @ X412 @ Z0)))=>((((((Z1 @ X412)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_21]), c_0_19]), c_0_22])). 0.14/0.49 thf(c_0_25, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])). 0.14/0.49 thf(c_0_26, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_23])). 0.14/0.49 thf(c_0_27, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((((((![X450:$i]:(((((in @ X450 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X450))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])). 0.14/0.49 thf(c_0_28, axiom, ((n_some)=(^[Z0:$i > $o]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>((((((Z0 @ X439)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_24])). 0.14/0.49 thf(c_0_29, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_25, c_0_26])). 0.14/0.49 thf(c_0_30, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((((((![X450:$i]:(((((in @ X450 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X450))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_28]), c_0_29])). 0.14/0.49 thf(c_0_31, negated_conjecture, ~(![X539:$i]:(((in @ X539 @ nat)=>~(![X538:$i]:(((in @ X538 @ nat)=>((ordsucc @ X539)!=(n_pl @ X539 @ X538)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz18b])]), c_0_21]), c_0_30])])). 0.14/0.49 thf(c_0_32, plain, ![X537:$i]:(((in @ X537 @ nat)=>((ordsucc @ X537)=(n_pl @ X537 @ n_1)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4e]), c_0_21]), c_0_26])). 0.14/0.49 thf(c_0_33, negated_conjecture, ![X1146:$i]:(((in @ esk29_0 @ nat)&(~(in @ X1146 @ nat)|((ordsucc @ esk29_0)!=(n_pl @ esk29_0 @ X1146))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])). 0.14/0.49 thf(c_0_34, plain, ![X1144:$i]:((~(in @ X1144 @ nat)|((ordsucc @ X1144)=(n_pl @ X1144 @ n_1)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])). 0.14/0.49 thf(c_0_35, negated_conjecture, ![X1:$i]:((~((in @ X1 @ nat))|((ordsucc @ esk29_0)!=(n_pl @ esk29_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.14/0.49 thf(c_0_36, plain, ![X1:$i]:((((ordsucc @ X1)=(n_pl @ X1 @ n_1))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.14/0.49 thf(c_0_37, negated_conjecture, (in @ esk29_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_33])). 0.14/0.49 thf(c_0_38, plain, (in @ n_1 @ nat), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[n_1_p]), c_0_17])). 0.14/0.49 thf(c_0_39, negated_conjecture, ![X1:$i]:((((n_pl @ esk29_0 @ n_1)!=(n_pl @ esk29_0 @ X1))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])])). 0.14/0.49 thf(c_0_40, plain, (in @ n_1 @ nat), inference(split_conjunct,[status(thm)],[c_0_38])). 0.14/0.49 thf(c_0_41, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_39]), c_0_40])]), ['proof']). 0.14/0.49 # SZS output end CNFRefutation 0.14/0.49 # Parsed axioms : 367 0.14/0.49 # Removed by relevancy pruning/SinE : 0 0.14/0.49 # Initial clauses : 535 0.14/0.49 # Removed in clause preprocessing : 158 0.14/0.49 # Initial clauses in saturation : 377 0.14/0.49 # Processed clauses : 94 0.14/0.49 # ...of these trivial : 2 0.14/0.49 # ...subsumed : 8 0.14/0.49 # ...remaining for further processing : 84 0.14/0.49 # Other redundant clauses eliminated : 2 0.14/0.49 # Clauses deleted for lack of memory : 0 0.14/0.49 # Backward-subsumed : 1 0.14/0.49 # Backward-rewritten : 0 0.14/0.49 # Generated clauses : 73 0.14/0.49 # ...of the previous two non-redundant : 61 0.14/0.49 # ...aggressively subsumed : 0 0.14/0.49 # Contextual simplify-reflections : 0 0.14/0.49 # Paramodulations : 57 0.14/0.49 # Factorizations : 0 0.14/0.49 # NegExts : 0 0.14/0.49 # Equation resolutions : 6 0.14/0.49 # Propositional unsat checks : 0 0.14/0.49 # Propositional check models : 0 0.14/0.49 # Propositional check unsatisfiable : 0 0.14/0.49 # Propositional clauses : 0 0.14/0.49 # Propositional clauses after purity: 0 0.14/0.49 # Propositional unsat core size : 0 0.14/0.49 # Propositional preprocessing time : 0.000 0.14/0.49 # Propositional encoding time : 0.000 0.14/0.49 # Propositional solver time : 0.000 0.14/0.49 # Success case prop preproc time : 0.000 0.14/0.49 # Success case prop encoding time : 0.000 0.14/0.49 # Success case prop solver time : 0.000 0.14/0.49 # Current number of processed clauses : 83 0.14/0.49 # Positive orientable unit clauses : 39 0.14/0.49 # Positive unorientable unit clauses: 0 0.14/0.49 # Negative unit clauses : 5 0.14/0.49 # Non-unit-clauses : 39 0.14/0.49 # Current number of unprocessed clauses: 344 0.14/0.49 # ...number of literals in the above : 1230 0.14/0.49 # Current number of archived formulas : 0 0.14/0.49 # Current number of archived clauses : 1 0.14/0.49 # Clause-clause subsumption calls (NU) : 394 0.14/0.49 # Rec. Clause-clause subsumption calls : 318 0.14/0.49 # Non-unit clause-clause subsumptions : 5 0.14/0.49 # Unit Clause-clause subsumption calls : 128 0.14/0.49 # Rewrite failures with RHS unbound : 0 0.14/0.49 # BW rewrite match attempts : 3 0.14/0.49 # BW rewrite match successes : 0 0.14/0.49 # Condensation attempts : 94 0.14/0.49 # Condensation successes : 0 0.14/0.49 # Termbank termtop insertions : 57399 0.14/0.49 0.14/0.49 # ------------------------------------------------- 0.14/0.49 # User time : 0.044 s 0.14/0.49 # System time : 0.011 s 0.14/0.49 # Total time : 0.055 s 0.14/0.49 # Maximum resident set size: 6416 pages 0.14/0.50 0.14/0.50 # ------------------------------------------------- 0.14/0.50 # User time : 0.067 s 0.14/0.50 # System time : 0.020 s 0.14/0.50 # Total time : 0.087 s 0.14/0.50 # Maximum resident set size: 2288 pages 0.14/0.50 EOF