0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : run_E %s %d THM 0.11/0.33 % Computer : n029.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 07:22:39 EDT 2022 0.11/0.33 % CPUTime : 0.18/0.52 Running higher-order on 8 cores theorem proving 0.18/0.52 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 0.18/0.52 # Version: 3.0pre003-ho 161.92/23.99 # Preprocessing class: HSLMSMSMLLLCHSA. 161.92/23.99 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 161.92/23.99 # Starting pre_casc_4 with 480s (4) cores 161.92/23.99 # Starting full_lambda_6 with 120s (1) cores 161.92/23.99 # Starting sh10 with 120s (1) cores 161.92/23.99 # Starting post_as_ho9 with 120s (1) cores 161.92/23.99 # Starting post_as_ho8 with 120s (1) cores 161.92/23.99 # sh10 with pid 29874 completed with status 0 161.92/23.99 # Result found by sh10 161.92/23.99 # Preprocessing class: HSLMSMSMLLLCHSA. 161.92/23.99 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 161.92/23.99 # Starting pre_casc_4 with 480s (4) cores 161.92/23.99 # Starting full_lambda_6 with 120s (1) cores 161.92/23.99 # Starting sh10 with 120s (1) cores 161.92/23.99 # No SInE strategy applied 161.92/23.99 # Search class: HGHSM-FMLM32-MHSMMFBN 161.92/23.99 # Scheduled 4 strats onto 1 cores with 120 seconds (120 total) 161.92/23.99 # Starting sh10 with 72s (1) cores 161.92/23.99 # sh10 with pid 29885 completed with status 0 161.92/23.99 # Result found by sh10 161.92/23.99 # Preprocessing class: HSLMSMSMLLLCHSA. 161.92/23.99 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 161.92/23.99 # Starting pre_casc_4 with 480s (4) cores 161.92/23.99 # Starting full_lambda_6 with 120s (1) cores 161.92/23.99 # Starting sh10 with 120s (1) cores 161.92/23.99 # No SInE strategy applied 161.92/23.99 # Search class: HGHSM-FMLM32-MHSMMFBN 161.92/23.99 # Scheduled 4 strats onto 1 cores with 120 seconds (120 total) 161.92/23.99 # Starting sh10 with 72s (1) cores 161.92/23.99 # Preprocessing time : 0.037 s 161.92/23.99 161.92/23.99 # Proof found! 161.92/23.99 # SZS status Theorem 161.92/23.99 # SZS output start CNFRefutation 161.92/23.99 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 161.92/23.99 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 161.92/23.99 thf(decl_24, type, eps: ($i > $o) > $i). 161.92/23.99 thf(decl_25, type, in: $i > $i > $o). 161.92/23.99 thf(decl_26, type, d_Subq: $i > $i > $o). 161.92/23.99 thf(decl_27, type, emptyset: $i). 161.92/23.99 thf(decl_28, type, union: $i > $i). 161.92/23.99 thf(decl_29, type, power: $i > $i). 161.92/23.99 thf(decl_30, type, repl: $i > ($i > $i) > $i). 161.92/23.99 thf(decl_31, type, d_Union_closed: $i > $o). 161.92/23.99 thf(decl_32, type, d_Power_closed: $i > $o). 161.92/23.99 thf(decl_33, type, d_Repl_closed: $i > $o). 161.92/23.99 thf(decl_34, type, d_ZF_closed: $i > $o). 161.92/23.99 thf(decl_35, type, univof: $i > $i). 161.92/23.99 thf(decl_36, type, if: $o > $i > $i > $i). 161.92/23.99 thf(decl_37, type, nIn: $i > $i > $o). 161.92/23.99 thf(decl_38, type, d_UPair: $i > $i > $i). 161.92/23.99 thf(decl_39, type, d_Sing: $i > $i). 161.92/23.99 thf(decl_40, type, binunion: $i > $i > $i). 161.92/23.99 thf(decl_41, type, famunion: $i > ($i > $i) > $i). 161.92/23.99 thf(decl_42, type, d_Sep: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 161.92/23.99 thf(decl_44, type, setminus: $i > $i > $i). 161.92/23.99 thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 161.92/23.99 thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 161.92/23.99 thf(decl_47, type, ordsucc: $i > $i). 161.92/23.99 thf(decl_48, type, nat_p: $i > $o). 161.92/23.99 thf(decl_49, type, omega: $i). 161.92/23.99 thf(decl_50, type, d_Inj1: $i > $i). 161.92/23.99 thf(decl_51, type, d_Inj0: $i > $i). 161.92/23.99 thf(decl_52, type, d_Unj: $i > $i). 161.92/23.99 thf(decl_53, type, pair: $i > $i > $i). 161.92/23.99 thf(decl_54, type, proj0: $i > $i). 161.92/23.99 thf(decl_55, type, proj1: $i > $i). 161.92/23.99 thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i). 161.92/23.99 thf(decl_57, type, setprod: $i > $i > $i). 161.92/23.99 thf(decl_58, type, ap: $i > $i > $i). 161.92/23.99 thf(decl_59, type, pair_p: $i > $o). 161.92/23.99 thf(decl_60, type, d_Pi: $i > ($i > $i) > $i). 161.92/23.99 thf(decl_61, type, imp: $o > $o > $o). 161.92/23.99 thf(decl_62, type, d_not: $o > $o). 161.92/23.99 thf(decl_63, type, wel: $o > $o). 161.92/23.99 thf(decl_64, type, obvious: $o). 161.92/23.99 thf(decl_65, type, l_ec: $o > $o > $o). 161.92/23.99 thf(decl_66, type, d_and: $o > $o > $o). 161.92/23.99 thf(decl_67, type, l_or: $o > $o > $o). 161.92/23.99 thf(decl_68, type, orec: $o > $o > $o). 161.92/23.99 thf(decl_69, type, l_iff: $o > $o > $o). 161.92/23.99 thf(decl_70, type, all: $i > ($i > $o) > $o). 161.92/23.99 thf(decl_71, type, non: $i > ($i > $o) > $i > $o). 161.92/23.99 thf(decl_72, type, l_some: $i > ($i > $o) > $o). 161.92/23.99 thf(decl_73, type, or3: $o > $o > $o > $o). 161.92/23.99 thf(decl_74, type, and3: $o > $o > $o > $o). 161.92/23.99 thf(decl_75, type, ec3: $o > $o > $o > $o). 161.92/23.99 thf(decl_76, type, orec3: $o > $o > $o > $o). 161.92/23.99 thf(decl_77, type, e_is: $i > $i > $i > $o). 161.92/23.99 thf(decl_78, type, amone: $i > ($i > $o) > $o). 161.92/23.99 thf(decl_79, type, one: $i > ($i > $o) > $o). 161.92/23.99 thf(decl_80, type, ind: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_81, type, injective: $i > $i > $i > $o). 161.92/23.99 thf(decl_82, type, image: $i > $i > $i > $i > $o). 161.92/23.99 thf(decl_83, type, tofs: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_84, type, soft: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_85, type, inverse: $i > $i > $i > $i). 161.92/23.99 thf(decl_86, type, surjective: $i > $i > $i > $o). 161.92/23.99 thf(decl_87, type, bijective: $i > $i > $i > $o). 161.92/23.99 thf(decl_88, type, invf: $i > $i > $i > $i). 161.92/23.99 thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i). 161.92/23.99 thf(decl_91, type, out: $i > ($i > $o) > $i > $i). 161.92/23.99 thf(decl_92, type, d_pair: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_93, type, first: $i > $i > $i > $i). 161.92/23.99 thf(decl_94, type, second: $i > $i > $i > $i). 161.92/23.99 thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o). 161.92/23.99 thf(decl_96, type, ite: $o > $i > $i > $i > $i). 161.92/23.99 thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_99, type, wissel: $i > $i > $i > $i). 161.92/23.99 thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_101, type, r_ec: $o > $o > $o). 161.92/23.99 thf(decl_102, type, esti: $i > $i > $i > $o). 161.92/23.99 thf(decl_103, type, empty: $i > $i > $o). 161.92/23.99 thf(decl_104, type, nonempty: $i > $i > $o). 161.92/23.99 thf(decl_105, type, incl: $i > $i > $i > $o). 161.92/23.99 thf(decl_106, type, st_disj: $i > $i > $i > $o). 161.92/23.99 thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o). 161.92/23.99 thf(decl_108, type, unmore: $i > $i > $i > $i). 161.92/23.99 thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i). 161.92/23.99 thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o). 161.92/23.99 thf(decl_112, type, ect: $i > ($i > $i > $o) > $i). 161.92/23.99 thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i). 161.92/23.99 thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i). 161.92/23.99 thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i). 161.92/23.99 thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 161.92/23.99 thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 161.92/23.99 thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 161.92/23.99 thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 161.92/23.99 thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_123, type, nat: $i). 161.92/23.99 thf(decl_124, type, n_is: $i > $i > $o). 161.92/23.99 thf(decl_125, type, nis: $i > $i > $o). 161.92/23.99 thf(decl_126, type, n_in: $i > $i > $o). 161.92/23.99 thf(decl_127, type, n_some: ($i > $o) > $o). 161.92/23.99 thf(decl_128, type, n_all: ($i > $o) > $o). 161.92/23.99 thf(decl_129, type, n_one: ($i > $o) > $o). 161.92/23.99 thf(decl_130, type, n_1: $i). 161.92/23.99 thf(decl_131, type, cond1: $i > $o). 161.92/23.99 thf(decl_132, type, cond2: $i > $o). 161.92/23.99 thf(decl_133, type, i1_s: ($i > $o) > $i). 161.92/23.99 thf(decl_134, type, d_22_prop1: $i > $o). 161.92/23.99 thf(decl_135, type, d_23_prop1: $i > $o). 161.92/23.99 thf(decl_136, type, d_24_prop1: $i > $o). 161.92/23.99 thf(decl_137, type, d_24_prop2: $i > $i > $o). 161.92/23.99 thf(decl_138, type, prop3: $i > $i > $i > $o). 161.92/23.99 thf(decl_139, type, prop4: $i > $o). 161.92/23.99 thf(decl_140, type, d_24_g: $i > $i). 161.92/23.99 thf(decl_141, type, plus: $i > $i). 161.92/23.99 thf(decl_142, type, n_pl: $i > $i > $i). 161.92/23.99 thf(decl_143, type, d_25_prop1: $i > $i > $i > $o). 161.92/23.99 thf(decl_144, type, d_26_prop1: $i > $i > $o). 161.92/23.99 thf(decl_145, type, d_27_prop1: $i > $i > $o). 161.92/23.99 thf(decl_146, type, d_28_prop1: $i > $i > $i > $o). 161.92/23.99 thf(decl_147, type, diffprop: $i > $i > $i > $o). 161.92/23.99 thf(decl_148, type, d_29_ii: $i > $i > $o). 161.92/23.99 thf(decl_149, type, iii: $i > $i > $o). 161.92/23.99 thf(decl_150, type, d_29_prop1: $i > $i > $o). 161.92/23.99 thf(decl_151, type, moreis: $i > $i > $o). 161.92/23.99 thf(decl_152, type, lessis: $i > $i > $o). 161.92/23.99 thf(decl_153, type, lbprop: ($i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_154, type, n_lb: ($i > $o) > $i > $o). 161.92/23.99 thf(decl_155, type, min: ($i > $o) > $i > $o). 161.92/23.99 thf(decl_156, type, d_428_prop1: $i > $i > $o). 161.92/23.99 thf(decl_157, type, d_428_prop2: $i > $i > $o). 161.92/23.99 thf(decl_158, type, d_428_prop4: $i > $o). 161.92/23.99 thf(decl_159, type, d_428_id: $i). 161.92/23.99 thf(decl_160, type, d_428_g: $i > $i). 161.92/23.99 thf(decl_161, type, times: $i > $i). 161.92/23.99 thf(decl_162, type, n_ts: $i > $i > $i). 161.92/23.99 thf(decl_163, type, d_429_prop1: $i > $i > $o). 161.92/23.99 thf(decl_164, type, d_430_prop1: $i > $i > $i > $o). 161.92/23.99 thf(decl_165, type, d_431_prop1: $i > $i > $i > $o). 161.92/23.99 thf(decl_166, type, n_mn: $i > $i > $i). 161.92/23.99 thf(decl_167, type, d_1to: $i > $i). 161.92/23.99 thf(decl_168, type, outn: $i > $i > $i). 161.92/23.99 thf(decl_169, type, inn: $i > $i > $i). 161.92/23.99 thf(decl_170, type, n_1o: $i). 161.92/23.99 thf(decl_171, type, singlet_u0: $i > $i). 161.92/23.99 thf(decl_172, type, n_2: $i). 161.92/23.99 thf(decl_173, type, n_1t: $i). 161.92/23.99 thf(decl_174, type, n_2t: $i). 161.92/23.99 thf(decl_175, type, pair_u0: $i > $i). 161.92/23.99 thf(decl_176, type, pair1type: $i > $i). 161.92/23.99 thf(decl_177, type, pair1: $i > $i > $i > $i). 161.92/23.99 thf(decl_178, type, first1: $i > $i > $i). 161.92/23.99 thf(decl_179, type, second1: $i > $i > $i). 161.92/23.99 thf(decl_180, type, pair_q0: $i > $i > $i). 161.92/23.99 thf(decl_181, type, d_1out: $i > $i). 161.92/23.99 thf(decl_182, type, xout: $i > $i). 161.92/23.99 thf(decl_183, type, left1to: $i > $i > $i > $i). 161.92/23.99 thf(decl_184, type, right1to: $i > $i > $i > $i). 161.92/23.99 thf(decl_185, type, left: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_186, type, right: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_187, type, left_f1: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_188, type, left_f2: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_189, type, frac: $i). 161.92/23.99 thf(decl_190, type, n_fr: $i > $i > $i). 161.92/23.99 thf(decl_191, type, num: $i > $i). 161.92/23.99 thf(decl_192, type, den: $i > $i). 161.92/23.99 thf(decl_193, type, n_eq: $i > $i > $o). 161.92/23.99 thf(decl_194, type, moref: $i > $i > $o). 161.92/23.99 thf(decl_195, type, lessf: $i > $i > $o). 161.92/23.99 thf(decl_196, type, moreq: $i > $i > $o). 161.92/23.99 thf(decl_197, type, lesseq: $i > $i > $o). 161.92/23.99 thf(decl_198, type, n_pf: $i > $i > $i). 161.92/23.99 thf(decl_199, type, d_367_vo: $i > $i > $i). 161.92/23.99 thf(decl_200, type, d_367_w: $i > $i > $i). 161.92/23.99 thf(decl_201, type, n_tf: $i > $i > $i). 161.92/23.99 thf(decl_202, type, d_477_v: $i > $i > $i). 161.92/23.99 thf(decl_203, type, inf: $i > $i > $o). 161.92/23.99 thf(decl_204, type, rat: $i). 161.92/23.99 thf(decl_205, type, rt_is: $i > $i > $o). 161.92/23.99 thf(decl_206, type, rt_nis: $i > $i > $o). 161.92/23.99 thf(decl_207, type, rt_some: ($i > $o) > $o). 161.92/23.99 thf(decl_208, type, rt_all: ($i > $o) > $o). 161.92/23.99 thf(decl_209, type, rt_one: ($i > $o) > $o). 161.92/23.99 thf(decl_210, type, rt_in: $i > $i > $o). 161.92/23.99 thf(decl_211, type, ratof: $i > $i). 161.92/23.99 thf(decl_212, type, class: $i > $i). 161.92/23.99 thf(decl_213, type, fixf: $i > $i > $o). 161.92/23.99 thf(decl_214, type, indrat: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_215, type, rt_more: $i > $i > $o). 161.92/23.99 thf(decl_216, type, propm: $i > $i > $i > $i > $o). 161.92/23.99 thf(decl_217, type, rt_less: $i > $i > $o). 161.92/23.99 thf(decl_218, type, propl: $i > $i > $i > $i > $o). 161.92/23.99 thf(decl_219, type, rt_moreis: $i > $i > $o). 161.92/23.99 thf(decl_220, type, rt_lessis: $i > $i > $o). 161.92/23.99 thf(decl_221, type, epred1_2: $i > $i > $o). 161.92/23.99 thf(decl_222, type, epred2_2: $i > $i > $o). 161.92/23.99 thf(decl_223, type, epred3_2: $i > $i > $o). 161.92/23.99 thf(decl_224, type, epred4_2: $i > $i > $o). 161.92/23.99 thf(decl_225, type, epred5_2: $i > $i > $o). 161.92/23.99 thf(decl_226, type, epred6_2: $i > $i > $o). 161.92/23.99 thf(decl_227, type, epred7_1: ($i > $o) > $o). 161.92/23.99 thf(decl_228, type, epred8_2: $i > $i > $o). 161.92/23.99 thf(decl_229, type, epred9_2: $i > $i > $o). 161.92/23.99 thf(decl_230, type, esk1_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_231, type, esk2_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_232, type, esk3_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_233, type, esk4_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_234, type, esk5_3: $i > $i > ($i > $i) > $i). 161.92/23.99 thf(decl_235, type, esk6_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_236, type, esk7_2: $i > $i > $i). 161.92/23.99 thf(decl_237, type, esk8_2: $i > $i > $i). 161.92/23.99 thf(decl_238, type, esk9_1: $i > $i). 161.92/23.99 thf(decl_239, type, esk10_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_240, type, esk11_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_241, type, esk12_3: $i > ($i > $o) > $i > $i). 161.92/23.99 thf(decl_242, type, esk13_1: ($i > $o) > $i). 161.92/23.99 thf(decl_243, type, esk14_1: ($i > $o) > $i). 161.92/23.99 thf(decl_244, type, esk15_2: $i > $i > $i). 161.92/23.99 thf(decl_245, type, esk16_3: $i > ($i > $i) > ($i > $i) > $i). 161.92/23.99 thf(decl_246, type, esk17_4: $i > ($i > $i) > $i > $i > $i). 161.92/23.99 thf(decl_247, type, esk18_2: $i > $i > $i). 161.92/23.99 thf(decl_248, type, esk19_3: $i > ($i > $i) > ($i > $i) > $i). 161.92/23.99 thf(decl_249, type, epred10_1: $i > $i > $o). 161.92/23.99 thf(decl_250, type, esk20_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_251, type, esk21_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_252, type, esk22_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_253, type, esk23_3: $i > ($i > $i) > $i > $i). 161.92/23.99 thf(decl_254, type, esk24_1: ($i > $o) > $i). 161.92/23.99 thf(decl_255, type, esk25_2: ($i > $o) > ($i > $o) > $i). 161.92/23.99 thf(decl_256, type, epred11_2: ($i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_257, type, esk26_2: $i > $i > $i). 161.92/23.99 thf(decl_258, type, epred12_1: $i > $i > $o). 161.92/23.99 thf(decl_259, type, esk27_1: $i > $i). 161.92/23.99 thf(decl_260, type, esk28_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_261, type, epred13_1: $i > $i > $o). 161.92/23.99 thf(decl_262, type, esk29_2: $i > $i > $i). 161.92/23.99 thf(decl_263, type, esk30_1: $i > $i). 161.92/23.99 thf(decl_264, type, esk31_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_265, type, esk32_2: $i > $i > $i). 161.92/23.99 thf(decl_266, type, esk33_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_267, type, esk34_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_268, type, esk35_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_269, type, esk36_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_270, type, esk37_2: $i > $i > $i). 161.92/23.99 thf(decl_271, type, esk38_2: $i > $i > $i). 161.92/23.99 thf(decl_272, type, esk39_1: $i > $i). 161.92/23.99 thf(decl_273, type, esk40_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_274, type, esk41_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_275, type, esk42_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_276, type, esk43_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_277, type, esk44_1: $i > $i). 161.92/23.99 thf(decl_278, type, esk45_1: $i > $i). 161.92/23.99 thf(decl_279, type, esk46_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_280, type, esk47_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_281, type, esk48_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_282, type, esk49_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_283, type, esk50_2: $i > $i > $i). 161.92/23.99 thf(decl_284, type, esk51_2: $i > $i > $i). 161.92/23.99 thf(decl_285, type, esk52_2: $i > $i > $i). 161.92/23.99 thf(decl_286, type, esk53_2: $i > $i > $i). 161.92/23.99 thf(decl_287, type, esk54_2: $i > $i > $i). 161.92/23.99 thf(decl_288, type, esk55_2: $i > $i > $i). 161.92/23.99 thf(decl_289, type, esk56_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_290, type, esk57_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_291, type, esk58_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_292, type, esk59_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_293, type, esk60_2: $i > $i > $i). 161.92/23.99 thf(decl_294, type, esk61_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_295, type, esk62_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_296, type, esk63_2: $i > $i > $i). 161.92/23.99 thf(decl_297, type, esk64_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_298, type, esk65_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_299, type, esk66_2: $i > $i > $i). 161.92/23.99 thf(decl_300, type, esk67_2: $i > $i > $i). 161.92/23.99 thf(decl_301, type, esk68_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_302, type, esk69_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_303, type, esk70_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_304, type, esk71_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_305, type, esk72_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_306, type, esk73_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_307, type, esk74_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_308, type, esk75_2: $i > $i > $i). 161.92/23.99 thf(decl_309, type, esk76_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_310, type, esk77_1: $i > $i). 161.92/23.99 thf(decl_311, type, esk78_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_312, type, esk79_2: $i > $i > $i). 161.92/23.99 thf(decl_313, type, esk80_2: $i > $i > $i). 161.92/23.99 thf(decl_314, type, esk81_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_315, type, esk82_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_316, type, esk83_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_317, type, esk84_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_318, type, esk85_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_319, type, esk86_2: $i > $i > $i). 161.92/23.99 thf(decl_320, type, esk87_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_321, type, esk88_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_322, type, esk89_2: $i > $i > $i). 161.92/23.99 thf(decl_323, type, esk90_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_324, type, esk91_2: $i > $i > $i). 161.92/23.99 thf(decl_325, type, esk92_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_326, type, esk93_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_327, type, esk94_2: $i > $i > $i). 161.92/23.99 thf(decl_328, type, esk95_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_329, type, esk96_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_330, type, esk97_2: $i > $i > $i). 161.92/23.99 thf(decl_331, type, esk98_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_332, type, esk99_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_333, type, esk100_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_334, type, esk101_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_335, type, esk102_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_336, type, esk103_1: $i > $i). 161.92/23.99 thf(decl_337, type, esk104_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_338, type, esk105_1: $i > $i). 161.92/23.99 thf(decl_339, type, esk106_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_340, type, esk107_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_341, type, esk108_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_342, type, esk109_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_343, type, esk110_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_344, type, esk111_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_345, type, esk112_2: $i > $i > $i). 161.92/23.99 thf(decl_346, type, esk113_2: $i > $i > $i). 161.92/23.99 thf(decl_347, type, esk114_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_348, type, esk115_2: $i > $i > $i). 161.92/23.99 thf(decl_349, type, esk116_1: $i > $i). 161.92/23.99 thf(decl_350, type, esk117_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_351, type, esk118_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_352, type, esk119_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_353, type, esk120_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_354, type, esk121_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_355, type, esk122_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_356, type, esk123_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_357, type, esk124_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_358, type, esk125_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_359, type, esk126_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_360, type, esk127_1: $i > $i). 161.92/23.99 thf(decl_361, type, esk128_2: $i > $i > $i). 161.92/23.99 thf(decl_362, type, esk129_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_363, type, esk130_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_364, type, esk131_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_365, type, esk132_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_366, type, esk133_2: $i > $i > $i). 161.92/23.99 thf(decl_367, type, esk134_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_368, type, esk135_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_369, type, esk136_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_370, type, esk137_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_371, type, esk138_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_372, type, esk139_2: $i > $i > $i). 161.92/23.99 thf(decl_373, type, esk140_2: $i > $i > $i). 161.92/23.99 thf(decl_374, type, esk141_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_375, type, esk142_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_376, type, esk143_1: $i > $i). 161.92/23.99 thf(decl_377, type, esk144_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_378, type, esk145_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_379, type, esk146_2: $i > $i > $i). 161.92/23.99 thf(decl_380, type, esk147_2: $i > $i > $i). 161.92/23.99 thf(decl_381, type, esk148_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_382, type, esk149_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_383, type, esk150_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_384, type, esk151_2: $i > $i > $i). 161.92/23.99 thf(decl_385, type, esk152_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_386, type, esk153_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_387, type, esk154_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_388, type, esk155_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_389, type, esk156_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_390, type, esk157_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_391, type, esk158_2: $i > $i > $i). 161.92/23.99 thf(decl_392, type, esk159_2: $i > $i > $i). 161.92/23.99 thf(decl_393, type, esk160_1: $i > $i). 161.92/23.99 thf(decl_394, type, esk161_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_395, type, esk162_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_396, type, esk163_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_397, type, esk164_2: $i > $i > $i). 161.92/23.99 thf(decl_398, type, esk165_2: $i > $i > $i). 161.92/23.99 thf(decl_399, type, esk166_1: $i > $i). 161.92/23.99 thf(decl_400, type, esk167_1: $i > $i). 161.92/23.99 thf(decl_401, type, esk168_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_402, type, esk169_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_403, type, esk170_1: ($i > $o) > $i). 161.92/23.99 thf(decl_404, type, esk171_2: ($i > $o) > $i > $i). 161.92/23.99 thf(decl_405, type, esk172_2: $i > $i > $i). 161.92/23.99 thf(decl_406, type, esk173_2: $i > $i > $i). 161.92/23.99 thf(decl_407, type, esk174_2: $i > $i > $i). 161.92/23.99 thf(decl_408, type, esk175_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_409, type, esk176_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_410, type, esk177_2: $i > $i > $i). 161.92/23.99 thf(decl_411, type, esk178_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_412, type, esk179_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_413, type, esk180_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_414, type, esk181_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_415, type, esk182_2: $i > $i > $i). 161.92/23.99 thf(decl_416, type, esk183_2: $i > $i > $i). 161.92/23.99 thf(decl_417, type, esk184_2: $i > $i > $i). 161.92/23.99 thf(decl_418, type, esk185_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_419, type, esk186_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_420, type, esk187_1: $i > $i). 161.92/23.99 thf(decl_421, type, esk188_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_422, type, esk189_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_423, type, esk190_2: $i > $i > $i). 161.92/23.99 thf(decl_424, type, esk191_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_425, type, esk192_2: $i > $i > $i). 161.92/23.99 thf(decl_426, type, esk193_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_427, type, esk194_2: $i > $i > $i). 161.92/23.99 thf(decl_428, type, esk195_2: $i > $i > $i). 161.92/23.99 thf(decl_429, type, esk196_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_430, type, esk197_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_431, type, esk198_2: $i > $i > $i). 161.92/23.99 thf(decl_432, type, esk199_2: $i > $i > $i). 161.92/23.99 thf(decl_433, type, esk200_2: $i > $i > $i). 161.92/23.99 thf(decl_434, type, esk201_0: $i). 161.92/23.99 thf(decl_435, type, esk202_0: $i). 161.92/23.99 thf(decl_436, type, esk203_0: $i). 161.92/23.99 thf(decl_437, type, esk204_0: $i). 161.92/23.99 thf(decl_438, type, esk205_0: $i). 161.92/23.99 thf(decl_439, type, esk206_0: $i). 161.92/23.99 thf(decl_440, type, esk207_0: $i). 161.92/23.99 thf(decl_441, type, esk208_0: $i). 161.92/23.99 thf(decl_442, type, esk209_2: $i > $i > $i). 161.92/23.99 thf(decl_443, type, esk210_2: $i > $i > $i). 161.92/23.99 thf(decl_444, type, esk211_2: $i > $i > $i). 161.92/23.99 thf(decl_445, type, esk212_2: $i > $i > $i). 161.92/23.99 thf(decl_446, type, esk213_2: $i > $i > $i). 161.92/23.99 thf(decl_447, type, esk214_2: $i > $i > $i). 161.92/23.99 thf(decl_448, type, esk215_2: $i > $i > $i). 161.92/23.99 thf(decl_449, type, esk216_2: $i > $i > $i). 161.92/23.99 thf(decl_450, type, esk217_2: $i > $i > $i). 161.92/23.99 thf(decl_451, type, esk218_2: $i > $i > $i). 161.92/23.99 thf(decl_452, type, esk219_2: $i > $i > $i). 161.92/23.99 thf(decl_453, type, esk220_2: $i > $i > $i). 161.92/23.99 thf(decl_454, type, esk221_2: $i > $i > $i). 161.92/23.99 thf(decl_455, type, esk222_2: $i > $i > $i). 161.92/23.99 thf(decl_456, type, esk223_2: $i > $i > $i). 161.92/23.99 thf(decl_457, type, esk224_3: ($i > $o) > $i > $i > $i). 161.92/23.99 thf(decl_458, type, esk225_3: ($i > $o) > $i > $i > $i). 161.92/23.99 thf(decl_459, type, esk226_1: ($i > $o) > $i). 161.92/23.99 thf(decl_460, type, esk227_2: ($i > $o) > $i > $i). 161.92/23.99 thf(decl_461, type, esk228_2: $i > $i > $i). 161.92/23.99 thf(decl_462, type, esk229_2: $i > $i > $i). 161.92/23.99 thf(decl_463, type, esk230_2: $i > $i > $i). 161.92/23.99 thf(decl_464, type, esk231_2: $i > $i > $i). 161.92/23.99 thf(decl_465, type, esk232_2: $i > $i > $i). 161.92/23.99 thf(decl_466, type, esk233_2: $i > $i > $i). 161.92/23.99 thf(decl_467, type, epred14_3: $i > $o > $i > $i > $o). 161.92/23.99 thf(decl_468, type, esk234_2: $i > $i > $i > $i). 161.92/23.99 thf(decl_469, type, epred15_2: ($i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_470, type, esk235_2: $i > ($i > $o) > $i > $i). 161.92/23.99 thf(decl_471, type, epred16_1: $i > $i > $o). 161.92/23.99 thf(decl_472, type, epred17_2: $i > ($i > ($i > $i) > $i) > $i > $o). 161.92/23.99 thf(decl_473, type, epred18_0: $i > $o). 161.92/23.99 thf(decl_474, type, esk236_0: $i > ($i > $i) > $i). 161.92/23.99 thf(decl_475, type, esk237_0: $i > ($i > $i) > $i). 161.92/23.99 thf(decl_476, type, epred19_0: $i > $o). 161.92/23.99 thf(decl_477, type, epred20_0: $i > $o). 161.92/23.99 thf(decl_478, type, esk238_1: ($i > $i) > $i > $i). 161.92/23.99 thf(decl_479, type, esk239_1: $i > $i > $i). 161.92/23.99 thf(decl_480, type, epred21_1: $i > $i > $o). 161.92/23.99 thf(decl_481, type, esk240_1: ($i > $i) > $i > $i). 161.92/23.99 thf(decl_482, type, epred22_2: ($i > $i) > $i > $i > $o). 161.92/23.99 thf(decl_483, type, epred23_2: $i > $i > $i > $o). 161.92/23.99 thf(decl_484, type, esk241_3: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_485, type, esk242_2: $i > $i > $i > $i). 161.92/23.99 thf(decl_486, type, epred24_3: $i > $o > $i > $i > $o). 161.92/23.99 thf(decl_487, type, epred25_2: $i > $i > $i > $o). 161.92/23.99 thf(decl_488, type, epred26_2: ($i > $i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_489, type, epred27_4: $i > $i > ($i > $i > $o) > $i > $i > $o). 161.92/23.99 thf(decl_490, type, epred28_0: $i > $o). 161.92/23.99 thf(decl_491, type, esk243_1: $i > $i > $i). 161.92/23.99 thf(decl_492, type, epred29_1: $i > $i > $o). 161.92/23.99 thf(decl_493, type, esk244_0: $i > $i). 161.92/23.99 thf(decl_494, type, esk245_1: $i > $i > $i). 161.92/23.99 thf(decl_495, type, epred30_1: $i > $i > $o). 161.92/23.99 thf(decl_496, type, epred31_2: $i > $i > $i > $o). 161.92/23.99 thf(decl_497, type, epred32_1: $i > $i > $o). 161.92/23.99 thf(decl_498, type, esk246_3: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_499, type, esk247_3: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_500, type, esk248_3: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_501, type, epred33_0: $i > $i > $o). 161.92/23.99 thf(decl_502, type, esk249_4: $i > ($i > ($i > $i) > $i) > $i > ($i > $i > $o) > $i). 161.92/23.99 thf(decl_503, type, esk250_4: $i > ($i > ($i > $i) > $i) > $i > ($i > $i > $o) > $i > $i). 161.92/23.99 thf(decl_504, type, epred34_3: $i > ($i > ($i > $i) > $i) > $i > $i > $i > $o). 161.92/23.99 thf(decl_505, type, esk251_5: $i > ($i > ($i > $i) > $i) > $i > $i > ($i > $i) > $i). 161.92/23.99 thf(decl_506, type, esk252_2: $i > ($i > $o) > $i). 161.92/23.99 thf(decl_507, type, epred35_1: $i > $i > $o). 161.92/23.99 thf(decl_508, type, esk253_1: $i > $i). 161.92/23.99 thf(decl_509, type, esk254_1: $i > $i). 161.92/23.99 thf(decl_510, type, esk255_2: $i > $i > $i). 161.92/23.99 thf(decl_511, type, esk256_3: $i > $i > ($i > $i) > $i). 161.92/23.99 thf(decl_512, type, esk257_4: $i > $i > $i > $i > $i). 161.92/23.99 thf(decl_513, type, esk258_3: $i > $i > $i > $i). 161.92/23.99 thf(decl_514, type, esk259_3: $i > $i > ($i > $i > $o) > $i). 161.92/23.99 thf(decl_515, type, esk260_5: $i > $i > ($i > $i > $o) > $i > $i > $i). 161.92/23.99 thf(decl_516, type, esk261_2: $i > $i > $i). 161.92/23.99 thf(decl_517, type, esk262_2: $i > $i > $i). 161.92/23.99 thf(decl_518, type, esk263_2: $i > $i > $i). 161.92/23.99 thf(decl_519, type, esk264_0: $i). 161.92/23.99 thf(decl_520, type, esk265_1: $i > $i). 161.92/23.99 thf(decl_521, type, esk266_2: $i > $i > $i). 161.92/23.99 thf(decl_522, type, esk267_1: $i > $i). 161.92/23.99 thf(decl_523, type, esk268_1: $i > $i). 161.92/23.99 thf(decl_524, type, esk269_1: $i > $i). 161.92/23.99 thf(decl_525, type, esk270_0: $i). 161.92/23.99 thf(decl_526, type, esk271_0: $i). 161.92/23.99 thf(decl_527, type, esk272_0: $i). 161.92/23.99 thf(decl_528, type, esk273_2: $i > $i > $i). 161.92/23.99 thf(decl_529, type, esk274_1: $i > $i). 161.92/23.99 thf(decl_530, type, esk275_1: $i > $i). 161.92/23.99 thf(decl_531, type, esk276_0: $i). 161.92/23.99 thf(decl_532, type, esk277_2: $i > $i > $i). 161.92/23.99 thf(decl_533, type, esk278_2: $i > $i > $i). 161.92/23.99 thf(decl_534, type, esk279_1: $i > $i). 161.92/23.99 thf(decl_535, type, esk280_2: $i > $i > $i). 161.92/23.99 thf(decl_536, type, esk281_0: $i). 161.92/23.99 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_not)). 161.92/23.99 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_imp)). 161.92/23.99 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_all_of)). 161.92/23.99 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)). 161.92/23.99 thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_non)). 161.92/23.99 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/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_some)). 161.92/23.99 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)). 161.92/23.99 thf(def_l_ec, axiom, ((l_ec)=(^[X38:$o, X39:$o]:((imp @ ((X38)) @ ((d_not @ ((X39)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_ec)). 161.92/23.99 thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_diffprop)). 161.92/23.99 thf(def_n_is, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)). 161.92/23.99 thf(def_d_and, axiom, ((d_and)=(^[X40:$o, X41:$o]:((d_not @ ((l_ec @ ((X40)) @ ((X41)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_and)). 161.92/23.99 thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_iii)). 161.92/23.99 thf(def_n_some, axiom, ((n_some)=(^[Z0:$i > $o]:((((((![X844:$i]:(((((in @ X844 @ nat)))=>((((((Z0 @ X844)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)). 161.92/23.99 thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_d_29_ii)). 161.92/23.99 thf(def_and3, axiom, ((and3)=(^[X51:$o, X52:$o, X53:$o]:((d_and @ ((X51)) @ ((d_and @ ((X52)) @ ((X53)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_and3)). 161.92/23.99 thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_lessf)). 161.92/23.99 thf(def_esti, axiom, ((esti)=(^[X1:$i]:(in))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_esti)). 161.92/23.99 thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_moref)). 161.92/23.99 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_or)). 161.92/23.99 thf(def_rt_less, axiom, ((rt_less)=(^[X1:$i, X648:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X648))) @ ((lessf @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_less)). 161.92/23.99 thf(def_inf, axiom, ((inf)=(in)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_inf)). 161.92/23.99 thf(def_rt_more, axiom, ((rt_more)=(^[X1:$i, X646:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X646))) @ ((moref @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_more)). 161.92/23.99 thf(def_rt_lessis, axiom, ((rt_lessis)=(^[X1:$i, X651:$i]:((l_or @ ((rt_less @ X1 @ X651)) @ ((rt_is @ X1 @ X651)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_lessis)). 161.92/23.99 thf(def_rt_is, axiom, ((rt_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_is)). 161.92/23.99 thf(satz81d, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X662:$i]:((in @ X662 @ rat))) @ (^[X663:$i]:(((rt_lessis @ X1 @ X663)=>(d_not @ ((rt_more @ X1 @ X663)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz81d)). 161.92/23.99 thf(def_rt_moreis, axiom, ((rt_moreis)=(^[X1:$i, X650:$i]:((l_or @ ((rt_more @ X1 @ X650)) @ ((rt_is @ X1 @ X650)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_moreis)). 161.92/23.99 thf(def_or3, axiom, ((or3)=(^[X48:$o, X49:$o, X50:$o]:((l_or @ ((X48)) @ ((l_or @ ((X49)) @ ((X50)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_or3)). 161.92/23.99 thf(def_ec3, axiom, ((ec3)=(^[X54:$o, X55:$o, X56:$o]:((and3 @ ((l_ec @ ((X54)) @ ((X55)))) @ ((l_ec @ ((X55)) @ ((X56)))) @ ((l_ec @ ((X56)) @ ((X54)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_ec3)). 161.92/23.99 thf(satz81c, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X652:$i]:((in @ X652 @ rat))) @ (^[X653:$i]:(((d_not @ ((rt_less @ X1 @ X653)))<=(rt_moreis @ X1 @ X653)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz81c)). 161.92/23.99 thf(def_orec3, axiom, ((orec3)=(^[X57:$o, X58:$o, X59:$o]:((d_and @ ((or3 @ ((X57)) @ ((X58)) @ ((X59)))) @ ((ec3 @ ((X57)) @ ((X58)) @ ((X59)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_orec3)). 161.92/23.99 thf(satz81, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X656:$i]:((in @ X656 @ rat))) @ (^[X657:$i]:((orec3 @ ((rt_is @ X1 @ X657)) @ ((rt_more @ X1 @ X657)) @ ((rt_less @ X1 @ X657))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz81)). 161.92/23.99 thf(c_0_31, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 161.92/23.99 thf(c_0_32, plain, ((imp)=(^[Z0:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 161.92/23.99 thf(c_0_33, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 161.92/23.99 thf(c_0_34, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 161.92/23.99 thf(c_0_35, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])). 161.92/23.99 thf(c_0_36, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_31, c_0_32])). 161.92/23.99 thf(c_0_37, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:((((((![X817:$i]:(((((in @ X817 @ Z0)))=>((((((Z1 @ X817)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])). 161.92/23.99 thf(c_0_38, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_33, c_0_34])). 161.92/23.99 thf(c_0_39, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_35, c_0_36])). 161.92/23.99 thf(c_0_40, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 161.92/23.99 thf(c_0_41, plain, ((l_ec)=(^[Z0:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(fof_simplification,[status(thm)],[def_l_ec])). 161.92/23.99 thf(c_0_42, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:((((((![X817:$i]:(((((in @ X817 @ Z0)))=>((((((Z1 @ X817)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37, c_0_38]), c_0_36]), c_0_39])). 161.92/23.99 thf(c_0_43, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])). 161.92/23.99 thf(c_0_44, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_40])). 161.92/23.99 thf(c_0_45, plain, ((d_and)=(^[Z0:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_and])). 161.92/23.99 thf(c_0_46, plain, ((l_ec)=(^[Z0:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_41, c_0_32]), c_0_36])). 161.92/23.99 thf(c_0_47, plain, ((iii)=(^[Z0:$i, Z1:$i]:((((((![X856:$i]:(((((in @ X856 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X856))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_iii])). 161.92/23.99 thf(c_0_48, axiom, ((n_some)=(^[Z0:$i > $o]:((((((![X844:$i]:(((((in @ X844 @ nat)))=>((((((Z0 @ X844)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_42])). 161.92/23.99 thf(c_0_49, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_43, c_0_44])). 161.92/23.99 thf(c_0_50, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((((((![X855:$i]:(((((in @ X855 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X855))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])). 161.92/23.99 thf(c_0_51, plain, ((and3)=(^[Z0:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_and3])). 161.92/23.99 thf(c_0_52, plain, ((d_and)=(^[Z0:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_45, c_0_36]), c_0_46])). 161.92/23.99 thf(c_0_53, plain, ((lessf)=(^[Z0:$i, Z1:$i]:((((((![X871:$i]:(((((in @ X871 @ nat)))=>(((((((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ X871))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_lessf])). 161.92/23.99 thf(c_0_54, plain, ((iii)=(^[Z0:$i, Z1:$i]:((((((![X856:$i]:(((((in @ X856 @ nat)))=>(((((((((Z1)=(n_pl @ Z0 @ X856))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_47, c_0_48]), c_0_49])). 161.92/23.99 thf(c_0_55, plain, ((esti)=(^[Z0:$i]:(in))), inference(fof_simplification,[status(thm)],[def_esti])). 161.92/23.99 thf(c_0_56, plain, ((moref)=(^[Z0:$i, Z1:$i]:((((((![X870:$i]:(((((in @ X870 @ nat)))=>(((((((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ X870))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_moref])). 161.92/23.99 thf(c_0_57, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((((((![X855:$i]:(((((in @ X855 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X855))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_50, c_0_48]), c_0_49])). 161.92/23.99 thf(c_0_58, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 161.92/23.99 thf(c_0_59, plain, ((rt_less)=(^[Z0:$i, Z1:$i]:((((((![X889:$i]:(((((in @ X889 @ frac)))=>(((((((((((![X888:$i]:(((((in @ X888 @ frac)))=>(((((((((((((((((in @ X889 @ (class @ Z0))))))=>((((((((((((((((((in @ X888 @ (class @ Z1))))))=>(((((((((((((![X887:$i]:(((((in @ X887 @ nat)))=>(((((((((n_ts @ (num @ X888) @ (den @ X889))=(n_pl @ (n_ts @ (num @ X889) @ (den @ X888)) @ X887))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_less])). 161.92/23.99 thf(c_0_60, plain, ((and3)=(^[Z0:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_51, c_0_52])). 161.92/23.99 thf(c_0_61, plain, ((lessf)=(^[Z0:$i, Z1:$i]:((((((![X871:$i]:(((((in @ X871 @ nat)))=>(((((((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ X871))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_53, c_0_54])). 161.92/23.99 thf(c_0_62, axiom, ((inf)=(in)), inference(apply_def,[status(thm)],[def_inf, c_0_55])). 161.92/23.99 thf(c_0_63, plain, ((rt_more)=(^[Z0:$i, Z1:$i]:((((((![X885:$i]:(((((in @ X885 @ frac)))=>(((((((((((![X884:$i]:(((((in @ X884 @ frac)))=>(((((((((((((((((in @ X885 @ (class @ Z0))))))=>((((((((((((((((((in @ X884 @ (class @ Z1))))))=>(((((((((((((![X883:$i]:(((((in @ X883 @ nat)))=>(((((((((n_ts @ (num @ X885) @ (den @ X884))=(n_pl @ (n_ts @ (num @ X884) @ (den @ X885)) @ X883))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_rt_more])). 161.92/23.99 thf(c_0_64, plain, ((moref)=(^[Z0:$i, Z1:$i]:((((((![X870:$i]:(((((in @ X870 @ nat)))=>(((((((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ X870))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_56, c_0_57])). 161.92/23.99 thf(c_0_65, plain, ((rt_lessis)=(^[Z0:$i, Z1:$i]:((((((((((((((![X894:$i]:(((((in @ X894 @ frac)))=>(((((((((((![X895:$i]:(((((in @ X895 @ frac)))=>(((((((((((((((((in @ X894 @ (class @ Z0))))))=>((((((((((((((((((in @ X895 @ (class @ Z1))))))=>(((((((((((((![X896:$i]:(((((in @ X896 @ nat)))=>(((((((((n_ts @ (num @ X895) @ (den @ X894))=(n_pl @ (n_ts @ (num @ X894) @ (den @ X895)) @ X896))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_rt_lessis])). 161.92/23.99 thf(c_0_66, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_58, c_0_32]), c_0_36])). 161.92/23.99 thf(c_0_67, axiom, ((rt_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_rt_is, c_0_40])). 161.92/23.99 thf(c_0_68, plain, ((rt_less)=(^[Z0:$i, Z1:$i]:((((((![X889:$i]:(((((in @ X889 @ frac)))=>(((((((((((![X888:$i]:(((((in @ X888 @ frac)))=>(((((((((((((((((in @ X889 @ (class @ Z0))))))=>((((((((((((((((((in @ X888 @ (class @ Z1))))))=>(((((((((((((![X887:$i]:(((((in @ X887 @ nat)))=>(((((((((n_ts @ (num @ X888) @ (den @ X889))=(n_pl @ (n_ts @ (num @ X889) @ (den @ X888)) @ X887))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_59, c_0_42]), c_0_60]), c_0_61]), c_0_62])). 161.92/23.99 thf(c_0_69, plain, ![X1997:$i, X1996:$i]:(((epred8_2 @ X1996 @ X1997)<=>~(((((X1997)!=(X1996))=>(![X1990:$i]:(((in @ X1990 @ frac)=>![X1991:$i]:(((in @ X1991 @ frac)=>((in @ X1990 @ (class @ X1997))=>((in @ X1991 @ (class @ X1996))=>![X1992:$i]:(((in @ X1992 @ nat)=>((n_ts @ (num @ X1990) @ (den @ X1991))!=(n_pl @ (n_ts @ (num @ X1991) @ (den @ X1990)) @ X1992))))))))))=>~(![X1993:$i]:(((in @ X1993 @ frac)=>![X1994:$i]:(((in @ X1994 @ frac)=>((in @ X1993 @ (class @ X1997))=>((in @ X1994 @ (class @ X1996))=>![X1995:$i]:(((in @ X1995 @ nat)=>((n_ts @ (num @ X1994) @ (den @ X1993))!=(n_pl @ (n_ts @ (num @ X1993) @ (den @ X1994)) @ X1995)))))))))))))=>((((X1997)=(X1996))=>![X1990:$i]:(((in @ X1990 @ frac)=>![X1991:$i]:(((in @ X1991 @ frac)=>((in @ X1990 @ (class @ X1997))=>((in @ X1991 @ (class @ X1996))=>![X1992:$i]:(((in @ X1992 @ nat)=>((n_ts @ (num @ X1990) @ (den @ X1991))!=(n_pl @ (n_ts @ (num @ X1991) @ (den @ X1990)) @ X1992)))))))))))=>((~(![X1990:$i]:(((in @ X1990 @ frac)=>![X1991:$i]:(((in @ X1991 @ frac)=>((in @ X1990 @ (class @ X1997))=>((in @ X1991 @ (class @ X1996))=>![X1992:$i]:(((in @ X1992 @ nat)=>((n_ts @ (num @ X1990) @ (den @ X1991))!=(n_pl @ (n_ts @ (num @ X1991) @ (den @ X1990)) @ X1992)))))))))))=>![X1993:$i]:(((in @ X1993 @ frac)=>![X1994:$i]:(((in @ X1994 @ frac)=>((in @ X1993 @ (class @ X1997))=>((in @ X1994 @ (class @ X1996))=>![X1995:$i]:(((in @ X1995 @ nat)=>((n_ts @ (num @ X1994) @ (den @ X1993))!=(n_pl @ (n_ts @ (num @ X1993) @ (den @ X1994)) @ X1995)))))))))))=>~((~(![X1993:$i]:(((in @ X1993 @ frac)=>![X1994:$i]:(((in @ X1994 @ frac)=>((in @ X1993 @ (class @ X1997))=>((in @ X1994 @ (class @ X1996))=>![X1995:$i]:(((in @ X1995 @ nat)=>((n_ts @ (num @ X1994) @ (den @ X1993))!=(n_pl @ (n_ts @ (num @ X1993) @ (den @ X1994)) @ X1995)))))))))))=>((X1997)!=(X1996)))))))))), introduced(definition)). 161.92/23.99 thf(c_0_70, plain, ((rt_more)=(^[Z0:$i, Z1:$i]:((((((![X885:$i]:(((((in @ X885 @ frac)))=>(((((((((((![X884:$i]:(((((in @ X884 @ frac)))=>(((((((((((((((((in @ X885 @ (class @ Z0))))))=>((((((((((((((((((in @ X884 @ (class @ Z1))))))=>(((((((((((((![X883:$i]:(((((in @ X883 @ nat)))=>(((((((((n_ts @ (num @ X885) @ (den @ X884))=(n_pl @ (n_ts @ (num @ X884) @ (den @ X885)) @ X883))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_63, c_0_42]), c_0_60]), c_0_64]), c_0_62])). 161.92/23.99 thf(c_0_71, plain, ((rt_lessis)=(^[Z0:$i, Z1:$i]:((((((((((((((![X894:$i]:(((((in @ X894 @ frac)))=>(((((((((((![X895:$i]:(((((in @ X895 @ frac)))=>(((((((((((((((((in @ X894 @ (class @ Z0))))))=>((((((((((((((((((in @ X895 @ (class @ Z1))))))=>(((((((((((((![X896:$i]:(((((in @ X896 @ nat)))=>(((((((((n_ts @ (num @ X895) @ (den @ X894))=(n_pl @ (n_ts @ (num @ X894) @ (den @ X895)) @ X896))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_65, c_0_66]), c_0_67]), c_0_68])). 161.92/23.99 thf(c_0_72, plain, ![X1997:$i, X1996:$i]:(((epred8_2 @ X1996 @ X1997)=>~(((((X1997)!=(X1996))=>(![X1990:$i]:(((in @ X1990 @ frac)=>![X1991:$i]:(((in @ X1991 @ frac)=>((in @ X1990 @ (class @ X1997))=>((in @ X1991 @ (class @ X1996))=>![X1992:$i]:(((in @ X1992 @ nat)=>((n_ts @ (num @ X1990) @ (den @ X1991))!=(n_pl @ (n_ts @ (num @ X1991) @ (den @ X1990)) @ X1992))))))))))=>~(![X1993:$i]:(((in @ X1993 @ frac)=>![X1994:$i]:(((in @ X1994 @ frac)=>((in @ X1993 @ (class @ X1997))=>((in @ X1994 @ (class @ X1996))=>![X1995:$i]:(((in @ X1995 @ nat)=>((n_ts @ (num @ X1994) @ (den @ X1993))!=(n_pl @ (n_ts @ (num @ X1993) @ (den @ X1994)) @ X1995)))))))))))))=>((((X1997)=(X1996))=>![X1990:$i]:(((in @ X1990 @ frac)=>![X1991:$i]:(((in @ X1991 @ frac)=>((in @ X1990 @ (class @ X1997))=>((in @ X1991 @ (class @ X1996))=>![X1992:$i]:(((in @ X1992 @ nat)=>((n_ts @ (num @ X1990) @ (den @ X1991))!=(n_pl @ (n_ts @ (num @ X1991) @ (den @ X1990)) @ X1992)))))))))))=>((~(![X1990:$i]:(((in @ X1990 @ frac)=>![X1991:$i]:(((in @ X1991 @ frac)=>((in @ X1990 @ (class @ X1997))=>((in @ X1991 @ (class @ X1996))=>![X1992:$i]:(((in @ X1992 @ nat)=>((n_ts @ (num @ X1990) @ (den @ X1991))!=(n_pl @ (n_ts @ (num @ X1991) @ (den @ X1990)) @ X1992)))))))))))=>![X1993:$i]:(((in @ X1993 @ frac)=>![X1994:$i]:(((in @ X1994 @ frac)=>((in @ X1993 @ (class @ X1997))=>((in @ X1994 @ (class @ X1996))=>![X1995:$i]:(((in @ X1995 @ nat)=>((n_ts @ (num @ X1994) @ (den @ X1993))!=(n_pl @ (n_ts @ (num @ X1993) @ (den @ X1994)) @ X1995)))))))))))=>~((~(![X1993:$i]:(((in @ X1993 @ frac)=>![X1994:$i]:(((in @ X1994 @ frac)=>((in @ X1993 @ (class @ X1997))=>((in @ X1994 @ (class @ X1996))=>![X1995:$i]:(((in @ X1995 @ nat)=>((n_ts @ (num @ X1994) @ (den @ X1993))!=(n_pl @ (n_ts @ (num @ X1993) @ (den @ X1994)) @ X1995)))))))))))=>((X1997)!=(X1996)))))))))), inference(split_equiv,[status(thm)],[c_0_69])). 161.92/23.99 thf(c_0_73, negated_conjecture, ~(![X2021:$i]:(((in @ X2021 @ rat)=>![X2020:$i]:(((in @ X2020 @ rat)=>((![X2014:$i]:(((in @ X2014 @ frac)=>![X2015:$i]:(((in @ X2015 @ frac)=>((in @ X2014 @ (class @ X2021))=>((in @ X2015 @ (class @ X2020))=>![X2016:$i]:(((in @ X2016 @ nat)=>((n_ts @ (num @ X2015) @ (den @ X2014))!=(n_pl @ (n_ts @ (num @ X2014) @ (den @ X2015)) @ X2016))))))))))=>((X2021)=(X2020)))=>![X2017:$i]:(((in @ X2017 @ frac)=>![X2018:$i]:(((in @ X2018 @ frac)=>((in @ X2017 @ (class @ X2021))=>((in @ X2018 @ (class @ X2020))=>![X2019:$i]:(((in @ X2019 @ nat)=>((n_ts @ (num @ X2017) @ (den @ X2018))!=(n_pl @ (n_ts @ (num @ X2018) @ (den @ X2017)) @ X2019)))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81d])]), c_0_38]), c_0_36]), c_0_70]), c_0_71])])). 161.92/23.99 thf(c_0_74, plain, ![X3687:$i, X3688:$i, X3695:$i, X3696:$i, X3697:$i, X3698:$i, X3699:$i, X3700:$i, X3701:$i, X3702:$i, X3703:$i, X3704:$i, X3705:$i, X3706:$i]:((((((in @ (esk231_2 @ X3687 @ X3688) @ frac)|(in @ (esk228_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ frac)|(in @ (esk228_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk231_2 @ X3687 @ X3688) @ (class @ X3687))|(in @ (esk228_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ (class @ X3688))|(in @ (esk228_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk233_2 @ X3687 @ X3688) @ nat)|(in @ (esk228_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((n_ts @ (num @ (esk232_2 @ X3687 @ X3688)) @ (den @ (esk231_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk231_2 @ X3687 @ X3688)) @ (den @ (esk232_2 @ X3687 @ X3688))) @ (esk233_2 @ X3687 @ X3688)))|(in @ (esk228_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687)))))))&((((in @ (esk231_2 @ X3687 @ X3688) @ frac)|(in @ (esk229_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ frac)|(in @ (esk229_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk231_2 @ X3687 @ X3688) @ (class @ X3687))|(in @ (esk229_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ (class @ X3688))|(in @ (esk229_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk233_2 @ X3687 @ X3688) @ nat)|(in @ (esk229_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((n_ts @ (num @ (esk232_2 @ X3687 @ X3688)) @ (den @ (esk231_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk231_2 @ X3687 @ X3688)) @ (den @ (esk232_2 @ X3687 @ X3688))) @ (esk233_2 @ X3687 @ X3688)))|(in @ (esk229_2 @ X3687 @ X3688) @ frac)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687)))))))&((((in @ (esk231_2 @ X3687 @ X3688) @ frac)|(in @ (esk228_2 @ X3687 @ X3688) @ (class @ X3687))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ frac)|(in @ (esk228_2 @ X3687 @ X3688) @ (class @ X3687))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk231_2 @ X3687 @ X3688) @ (class @ X3687))|(in @ (esk228_2 @ X3687 @ X3688) @ (class @ X3687))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ (class @ X3688))|(in @ (esk228_2 @ X3687 @ X3688) @ (class @ X3687))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk233_2 @ X3687 @ X3688) @ nat)|(in @ (esk228_2 @ X3687 @ X3688) @ (class @ X3687))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((n_ts @ (num @ (esk232_2 @ X3687 @ X3688)) @ (den @ (esk231_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk231_2 @ X3687 @ X3688)) @ (den @ (esk232_2 @ X3687 @ X3688))) @ (esk233_2 @ X3687 @ X3688)))|(in @ (esk228_2 @ X3687 @ X3688) @ (class @ X3687))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687)))))))&((((in @ (esk231_2 @ X3687 @ X3688) @ frac)|(in @ (esk229_2 @ X3687 @ X3688) @ (class @ X3688))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ frac)|(in @ (esk229_2 @ X3687 @ X3688) @ (class @ X3688))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk231_2 @ X3687 @ X3688) @ (class @ X3687))|(in @ (esk229_2 @ X3687 @ X3688) @ (class @ X3688))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ (class @ X3688))|(in @ (esk229_2 @ X3687 @ X3688) @ (class @ X3688))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk233_2 @ X3687 @ X3688) @ nat)|(in @ (esk229_2 @ X3687 @ X3688) @ (class @ X3688))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((n_ts @ (num @ (esk232_2 @ X3687 @ X3688)) @ (den @ (esk231_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk231_2 @ X3687 @ X3688)) @ (den @ (esk232_2 @ X3687 @ X3688))) @ (esk233_2 @ X3687 @ X3688)))|(in @ (esk229_2 @ X3687 @ X3688) @ (class @ X3688))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687)))))))&((((in @ (esk231_2 @ X3687 @ X3688) @ frac)|(in @ (esk230_2 @ X3687 @ X3688) @ nat)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ frac)|(in @ (esk230_2 @ X3687 @ X3688) @ nat)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk231_2 @ X3687 @ X3688) @ (class @ X3687))|(in @ (esk230_2 @ X3687 @ X3688) @ nat)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ (class @ X3688))|(in @ (esk230_2 @ X3687 @ X3688) @ nat)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk233_2 @ X3687 @ X3688) @ nat)|(in @ (esk230_2 @ X3687 @ X3688) @ nat)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((n_ts @ (num @ (esk232_2 @ X3687 @ X3688)) @ (den @ (esk231_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk231_2 @ X3687 @ X3688)) @ (den @ (esk232_2 @ X3687 @ X3688))) @ (esk233_2 @ X3687 @ X3688)))|(in @ (esk230_2 @ X3687 @ X3688) @ nat)|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687)))))))&(((in @ (esk231_2 @ X3687 @ X3688) @ frac)|((n_ts @ (num @ (esk228_2 @ X3687 @ X3688)) @ (den @ (esk229_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk229_2 @ X3687 @ X3688)) @ (den @ (esk228_2 @ X3687 @ X3688))) @ (esk230_2 @ X3687 @ X3688)))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ frac)|((n_ts @ (num @ (esk228_2 @ X3687 @ X3688)) @ (den @ (esk229_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk229_2 @ X3687 @ X3688)) @ (den @ (esk228_2 @ X3687 @ X3688))) @ (esk230_2 @ X3687 @ X3688)))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk231_2 @ X3687 @ X3688) @ (class @ X3687))|((n_ts @ (num @ (esk228_2 @ X3687 @ X3688)) @ (den @ (esk229_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk229_2 @ X3687 @ X3688)) @ (den @ (esk228_2 @ X3687 @ X3688))) @ (esk230_2 @ X3687 @ X3688)))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk232_2 @ X3687 @ X3688) @ (class @ X3688))|((n_ts @ (num @ (esk228_2 @ X3687 @ X3688)) @ (den @ (esk229_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk229_2 @ X3687 @ X3688)) @ (den @ (esk228_2 @ X3687 @ X3688))) @ (esk230_2 @ X3687 @ X3688)))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((in @ (esk233_2 @ X3687 @ X3688) @ nat)|((n_ts @ (num @ (esk228_2 @ X3687 @ X3688)) @ (den @ (esk229_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk229_2 @ X3687 @ X3688)) @ (den @ (esk228_2 @ X3687 @ X3688))) @ (esk230_2 @ X3687 @ X3688)))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))&(((n_ts @ (num @ (esk232_2 @ X3687 @ X3688)) @ (den @ (esk231_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk231_2 @ X3687 @ X3688)) @ (den @ (esk232_2 @ X3687 @ X3688))) @ (esk233_2 @ X3687 @ X3688)))|((n_ts @ (num @ (esk228_2 @ X3687 @ X3688)) @ (den @ (esk229_2 @ X3687 @ X3688)))=(n_pl @ (n_ts @ (num @ (esk229_2 @ X3687 @ X3688)) @ (den @ (esk228_2 @ X3687 @ X3688))) @ (esk230_2 @ X3687 @ X3688)))|((X3687)=(X3688))|~(epred8_2 @ X3688 @ X3687))))))))))))&((((X3687)!=(X3688))|(~(in @ X3695 @ frac)|(~(in @ X3696 @ frac)|(~(in @ X3695 @ (class @ X3687))|(~(in @ X3696 @ (class @ X3688))|(~(in @ X3697 @ nat)|((n_ts @ (num @ X3695) @ (den @ X3696))!=(n_pl @ (n_ts @ (num @ X3696) @ (den @ X3695)) @ X3697)))))))|~(epred8_2 @ X3688 @ X3687))&((~(in @ X3698 @ frac)|(~(in @ X3699 @ frac)|(~(in @ X3698 @ (class @ X3687))|(~(in @ X3699 @ (class @ X3688))|(~(in @ X3700 @ nat)|((n_ts @ (num @ X3698) @ (den @ X3699))!=(n_pl @ (n_ts @ (num @ X3699) @ (den @ X3698)) @ X3700))))))|(~(in @ X3701 @ frac)|(~(in @ X3702 @ frac)|(~(in @ X3701 @ (class @ X3687))|(~(in @ X3702 @ (class @ X3688))|(~(in @ X3703 @ nat)|((n_ts @ (num @ X3702) @ (den @ X3701))!=(n_pl @ (n_ts @ (num @ X3701) @ (den @ X3702)) @ X3703)))))))|~(epred8_2 @ X3688 @ X3687))&(~(in @ X3704 @ frac)|(~(in @ X3705 @ frac)|(~(in @ X3704 @ (class @ X3687))|(~(in @ X3705 @ (class @ X3688))|(~(in @ X3706 @ nat)|((n_ts @ (num @ X3705) @ (den @ X3704))!=(n_pl @ (n_ts @ (num @ X3704) @ (den @ X3705)) @ X3706))))))|((X3687)!=(X3688))|~(epred8_2 @ X3688 @ X3687)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])])])). 161.92/23.99 thf(c_0_75, negated_conjecture, ((in @ esk201_0 @ rat)&((in @ esk202_0 @ rat)&((((in @ esk203_0 @ frac)|((esk201_0)=(esk202_0)))&(((in @ esk204_0 @ frac)|((esk201_0)=(esk202_0)))&(((in @ esk203_0 @ (class @ esk201_0))|((esk201_0)=(esk202_0)))&(((in @ esk204_0 @ (class @ esk202_0))|((esk201_0)=(esk202_0)))&(((in @ esk205_0 @ nat)|((esk201_0)=(esk202_0)))&(((n_ts @ (num @ esk204_0) @ (den @ esk203_0))=(n_pl @ (n_ts @ (num @ esk203_0) @ (den @ esk204_0)) @ esk205_0))|((esk201_0)=(esk202_0))))))))&((in @ esk206_0 @ frac)&((in @ esk207_0 @ frac)&((in @ esk206_0 @ (class @ esk201_0))&((in @ esk207_0 @ (class @ esk202_0))&((in @ esk208_0 @ nat)&((n_ts @ (num @ esk206_0) @ (den @ esk207_0))=(n_pl @ (n_ts @ (num @ esk207_0) @ (den @ esk206_0)) @ esk208_0)))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])])). 161.92/23.99 thf(c_0_76, plain, ![X1:$i, X4:$i, X8:$i, X7:$i, X12:$i, X10:$i, X6:$i, X5:$i]:((~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ (class @ X5)))|~((in @ X4 @ (class @ X6)))|~((in @ X7 @ nat))|((n_ts @ (num @ X1) @ (den @ X4))!=(n_pl @ (n_ts @ (num @ X4) @ (den @ X1)) @ X7))|~((in @ X8 @ frac))|~((in @ X10 @ frac))|~((in @ X8 @ (class @ X5)))|~((in @ X10 @ (class @ X6)))|~((in @ X12 @ nat))|((n_ts @ (num @ X10) @ (den @ X8))!=(n_pl @ (n_ts @ (num @ X8) @ (den @ X10)) @ X12))|~((epred8_2 @ X6 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_74])). 161.92/23.99 thf(c_0_77, negated_conjecture, (in @ esk208_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_78, plain, ((rt_moreis)=(^[Z0:$i, Z1:$i]:((((((((((((((![X891:$i]:(((((in @ X891 @ frac)))=>(((((((((((![X892:$i]:(((((in @ X892 @ frac)))=>(((((((((((((((((in @ X891 @ (class @ Z0))))))=>((((((((((((((((((in @ X892 @ (class @ Z1))))))=>(((((((((((((![X893:$i]:(((((in @ X893 @ nat)))=>(((((((((n_ts @ (num @ X891) @ (den @ X892))=(n_pl @ (n_ts @ (num @ X892) @ (den @ X891)) @ X893))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_rt_moreis])). 161.92/23.99 thf(c_0_79, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i, X10:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ esk208_0)!=(n_ts @ (num @ X4) @ (den @ X1)))|((n_pl @ (n_ts @ (num @ X5) @ (den @ X6)) @ X7)!=(n_ts @ (num @ X6) @ (den @ X5)))|~((in @ X4 @ (class @ X8)))|~((in @ X1 @ (class @ X10)))|~((in @ X5 @ (class @ X8)))|~((in @ X6 @ (class @ X10)))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((in @ X7 @ nat))|~((in @ X5 @ frac))|~((in @ X6 @ frac))|~((epred8_2 @ X8 @ X10)))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 161.92/23.99 thf(c_0_80, negated_conjecture, (in @ esk206_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_81, plain, ((rt_moreis)=(^[Z0:$i, Z1:$i]:((((((((((((((![X891:$i]:(((((in @ X891 @ frac)))=>(((((((((((![X892:$i]:(((((in @ X892 @ frac)))=>(((((((((((((((((in @ X891 @ (class @ Z0))))))=>((((((((((((((((((in @ X892 @ (class @ Z1))))))=>(((((((((((((![X893:$i]:(((((in @ X893 @ nat)))=>(((((((((n_ts @ (num @ X891) @ (den @ X892))=(n_pl @ (n_ts @ (num @ X892) @ (den @ X891)) @ X893))))))=>(~($true))))))))))=>(~($true)))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true))))))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_78, c_0_66]), c_0_67]), c_0_70])). 161.92/23.99 thf(c_0_82, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ esk206_0)) @ esk208_0)!=(n_ts @ (num @ esk206_0) @ (den @ X1)))|((n_pl @ (n_ts @ (num @ X4) @ (den @ X5)) @ X6)!=(n_ts @ (num @ X5) @ (den @ X4)))|~((in @ esk206_0 @ (class @ X7)))|~((in @ X1 @ (class @ X8)))|~((in @ X4 @ (class @ X7)))|~((in @ X5 @ (class @ X8)))|~((in @ X1 @ frac))|~((in @ X6 @ nat))|~((in @ X4 @ frac))|~((in @ X5 @ frac))|~((epred8_2 @ X7 @ X8)))), inference(spm,[status(thm)],[c_0_79, c_0_80])). 161.92/23.99 thf(c_0_83, negated_conjecture, (in @ esk207_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_84, negated_conjecture, ((n_ts @ (num @ esk206_0) @ (den @ esk207_0))=(n_pl @ (n_ts @ (num @ esk207_0) @ (den @ esk206_0)) @ esk208_0)), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_85, plain, ((or3)=(^[Z0:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(fof_simplification,[status(thm)],[def_or3])). 161.92/23.99 thf(c_0_86, plain, ((ec3)=(^[Z0:$o, Z1:$o, Z2:$o]:((((((((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))))=>((((((((((((((((((((((Z1)))=>(((((((Z2))))=>(~($true)))))))))))=>(((((((((((((Z2)))=>(((((((Z0))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_ec3])). 161.92/23.99 thf(c_0_87, plain, ![X1986:$i]:(((in @ X1986 @ rat)=>![X1985:$i]:(((in @ X1985 @ rat)=>((![X1982:$i]:(((in @ X1982 @ frac)=>![X1983:$i]:(((in @ X1983 @ frac)=>((in @ X1982 @ (class @ X1986))=>((in @ X1983 @ (class @ X1985))=>![X1984:$i]:(((in @ X1984 @ nat)=>((n_ts @ (num @ X1982) @ (den @ X1983))!=(n_pl @ (n_ts @ (num @ X1983) @ (den @ X1982)) @ X1984))))))))))=>((X1986)=(X1985)))=>![X1979:$i]:(((in @ X1979 @ frac)=>![X1980:$i]:(((in @ X1980 @ frac)=>((in @ X1979 @ (class @ X1986))=>((in @ X1980 @ (class @ X1985))=>![X1981:$i]:(((in @ X1981 @ nat)=>((n_ts @ (num @ X1980) @ (den @ X1979))!=(n_pl @ (n_ts @ (num @ X1979) @ (den @ X1980)) @ X1981))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz81c]), c_0_38]), c_0_36]), c_0_68]), c_0_81])])). 161.92/23.99 thf(c_0_88, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X6:$i, X7:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ esk206_0 @ (class @ X6)))|~((in @ esk207_0 @ (class @ X7)))|~((in @ X1 @ (class @ X6)))|~((in @ X4 @ (class @ X7)))|~((in @ X5 @ nat))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((epred8_2 @ X6 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84])])). 161.92/23.99 thf(c_0_89, negated_conjecture, ((in @ esk205_0 @ nat)|((esk201_0)=(esk202_0))), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_90, plain, ((orec3)=(^[Z0:$o, Z1:$o, Z2:$o]:((((((((((((((((((((Z0)))))=>(~($true)))))=>(((((((((((Z1)))))=>(~($true)))))=>(((Z2)))))))))))=>(((((((((((((((((((((((Z0))))=>((((((((Z1)))))=>(~($true)))))))))))=>(((((((((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))))=>((((((((((((((Z2))))=>((((((((Z0)))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_orec3])). 161.92/23.99 thf(c_0_91, plain, ((or3)=(^[Z0:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(apply_def,[status(thm)],[c_0_85, c_0_66])). 161.92/23.99 thf(c_0_92, plain, ((ec3)=(^[Z0:$o, Z1:$o, Z2:$o]:((((((((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))))=>((((((((((((((((((((((Z1)))=>(((((((Z2))))=>(~($true)))))))))))=>(((((((((((((Z2)))=>(((((((Z0))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_86, c_0_46]), c_0_60])). 161.92/23.99 thf(c_0_93, plain, ![X3585:$i, X3586:$i, X3587:$i, X3588:$i, X3589:$i, X3590:$i, X3591:$i, X3592:$i]:(((~(in @ X3587 @ frac)|(~(in @ X3588 @ frac)|(~(in @ X3587 @ (class @ X3585))|(~(in @ X3588 @ (class @ X3586))|(~(in @ X3589 @ nat)|((n_ts @ (num @ X3587) @ (den @ X3588))!=(n_pl @ (n_ts @ (num @ X3588) @ (den @ X3587)) @ X3589))))))|(~(in @ X3590 @ frac)|(~(in @ X3591 @ frac)|(~(in @ X3590 @ (class @ X3585))|(~(in @ X3591 @ (class @ X3586))|(~(in @ X3592 @ nat)|((n_ts @ (num @ X3591) @ (den @ X3590))!=(n_pl @ (n_ts @ (num @ X3590) @ (den @ X3591)) @ X3592)))))))|~(in @ X3586 @ rat)|~(in @ X3585 @ rat))&(((X3585)!=(X3586))|(~(in @ X3590 @ frac)|(~(in @ X3591 @ frac)|(~(in @ X3590 @ (class @ X3585))|(~(in @ X3591 @ (class @ X3586))|(~(in @ X3592 @ nat)|((n_ts @ (num @ X3591) @ (den @ X3590))!=(n_pl @ (n_ts @ (num @ X3590) @ (den @ X3591)) @ X3592)))))))|~(in @ X3586 @ rat)|~(in @ X3585 @ rat)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])])). 161.92/23.99 thf(c_0_94, negated_conjecture, ![X1:$i, X4:$i, X5:$i, X6:$i]:((((esk202_0)=(esk201_0))|((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ esk205_0)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ esk206_0 @ (class @ X5)))|~((in @ esk207_0 @ (class @ X6)))|~((in @ X1 @ (class @ X5)))|~((in @ X4 @ (class @ X6)))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((epred8_2 @ X5 @ X6)))), inference(spm,[status(thm)],[c_0_88, c_0_89])). 161.92/23.99 thf(c_0_95, negated_conjecture, ((in @ esk203_0 @ frac)|((esk201_0)=(esk202_0))), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_96, plain, ((orec3)=(^[Z0:$o, Z1:$o, Z2:$o]:((((((((((((((((((((Z0)))))=>(~($true)))))=>(((((((((((Z1)))))=>(~($true)))))=>(((Z2)))))))))))=>(((((((((((((((((((((((Z0))))=>((((((((Z1)))))=>(~($true)))))))))))=>(((((((((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))))=>((((((((((((((Z2))))=>((((((((Z0)))))=>(~($true))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_90, c_0_52]), c_0_91]), c_0_92])). 161.92/23.99 thf(c_0_97, plain, ![X5:$i, X7:$i, X6:$i, X4:$i, X1:$i]:((((X1)!=(X4))|~((in @ X5 @ frac))|~((in @ X6 @ frac))|~((in @ X5 @ (class @ X1)))|~((in @ X6 @ (class @ X4)))|~((in @ X7 @ nat))|((n_ts @ (num @ X6) @ (den @ X5))!=(n_pl @ (n_ts @ (num @ X5) @ (den @ X6)) @ X7))|~((in @ X4 @ rat))|~((in @ X1 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_93])). 161.92/23.99 thf(c_0_98, negated_conjecture, ![X1:$i, X4:$i, X5:$i]:((((esk202_0)=(esk201_0))|((n_pl @ (n_ts @ (num @ esk203_0) @ (den @ X1)) @ esk205_0)!=(n_ts @ (num @ X1) @ (den @ esk203_0)))|~((in @ esk206_0 @ (class @ X4)))|~((in @ esk207_0 @ (class @ X5)))|~((in @ esk203_0 @ (class @ X4)))|~((in @ X1 @ (class @ X5)))|~((in @ X1 @ frac))|~((epred8_2 @ X4 @ X5)))), inference(spm,[status(thm)],[c_0_94, c_0_95])). 161.92/23.99 thf(c_0_99, negated_conjecture, ((in @ esk204_0 @ frac)|((esk201_0)=(esk202_0))), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_100, negated_conjecture, (((n_ts @ (num @ esk204_0) @ (den @ esk203_0))=(n_pl @ (n_ts @ (num @ esk203_0) @ (den @ esk204_0)) @ esk205_0))|((esk201_0)=(esk202_0))), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_101, plain, ![X1997:$i]:(((in @ X1997 @ rat)=>![X1996:$i]:(((in @ X1996 @ rat)=>(epred8_2 @ X1996 @ X1997))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz81]), c_0_38]), c_0_96]), c_0_67]), c_0_70]), c_0_68])]), c_0_69])). 161.92/23.99 thf(c_0_102, plain, ![X1:$i, X5:$i, X4:$i, X6:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ X5)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X4 @ (class @ X6)))|~((in @ X1 @ (class @ X6)))|~((in @ X5 @ nat))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((in @ X6 @ rat)))), inference(er,[status(thm)],[c_0_97])). 161.92/23.99 thf(c_0_103, negated_conjecture, ![X1:$i, X4:$i]:((((esk202_0)=(esk201_0))|~((in @ esk206_0 @ (class @ X1)))|~((in @ esk207_0 @ (class @ X4)))|~((in @ esk203_0 @ (class @ X1)))|~((in @ esk204_0 @ (class @ X4)))|~((epred8_2 @ X1 @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_100])). 161.92/23.99 thf(c_0_104, negated_conjecture, (in @ esk206_0 @ (class @ esk201_0)), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_105, negated_conjecture, ((in @ esk203_0 @ (class @ esk201_0))|((esk201_0)=(esk202_0))), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_106, plain, ![X3596:$i, X3597:$i]:((~(in @ X3596 @ rat)|(~(in @ X3597 @ rat)|(epred8_2 @ X3597 @ X3596)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])])). 161.92/23.99 thf(c_0_107, negated_conjecture, ![X1:$i, X4:$i, X5:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ X4)) @ esk208_0)!=(n_ts @ (num @ X4) @ (den @ X1)))|~((in @ X4 @ (class @ X5)))|~((in @ X1 @ (class @ X5)))|~((in @ X4 @ frac))|~((in @ X1 @ frac))|~((in @ X5 @ rat)))), inference(spm,[status(thm)],[c_0_102, c_0_77])). 161.92/23.99 thf(c_0_108, negated_conjecture, ![X1:$i]:((((esk202_0)=(esk201_0))|~((in @ esk207_0 @ (class @ X1)))|~((in @ esk204_0 @ (class @ X1)))|~((epred8_2 @ esk201_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_105])). 161.92/23.99 thf(c_0_109, plain, ![X1:$i, X4:$i]:(((epred8_2 @ X4 @ X1)|~((in @ X1 @ rat))|~((in @ X4 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_106])). 161.92/23.99 thf(c_0_110, negated_conjecture, (in @ esk201_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_111, negated_conjecture, ![X1:$i, X4:$i]:((((n_pl @ (n_ts @ (num @ X1) @ (den @ esk206_0)) @ esk208_0)!=(n_ts @ (num @ esk206_0) @ (den @ X1)))|~((in @ esk206_0 @ (class @ X4)))|~((in @ X1 @ (class @ X4)))|~((in @ X1 @ frac))|~((in @ X4 @ rat)))), inference(spm,[status(thm)],[c_0_107, c_0_80])). 161.92/23.99 thf(c_0_112, negated_conjecture, ![X1:$i]:((((esk202_0)=(esk201_0))|~((in @ esk207_0 @ (class @ X1)))|~((in @ esk204_0 @ (class @ X1)))|~((in @ X1 @ rat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_110])])). 161.92/23.99 thf(c_0_113, negated_conjecture, (in @ esk202_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_114, negated_conjecture, (in @ esk207_0 @ (class @ esk202_0)), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_115, negated_conjecture, ((in @ esk204_0 @ (class @ esk202_0))|((esk201_0)=(esk202_0))), inference(split_conjunct,[status(thm)],[c_0_75])). 161.92/23.99 thf(c_0_116, negated_conjecture, ![X1:$i]:((~((in @ esk206_0 @ (class @ X1)))|~((in @ esk207_0 @ (class @ X1)))|~((in @ X1 @ rat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_83]), c_0_84])])). 161.92/23.99 thf(c_0_117, negated_conjecture, ((esk202_0)=(esk201_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_114])]), c_0_115])). 161.92/23.99 thf(c_0_118, negated_conjecture, ~((in @ esk207_0 @ (class @ esk201_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_110]), c_0_104])])). 161.92/23.99 thf(c_0_119, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_117]), c_0_118]), ['proof']). 161.92/23.99 # SZS output end CNFRefutation 161.92/23.99 # Parsed axioms : 694 161.92/23.99 # Removed by relevancy pruning/SinE : 0 161.92/23.99 # Initial clauses : 1259 161.92/23.99 # Removed in clause preprocessing : 268 161.92/23.99 # Initial clauses in saturation : 991 161.92/23.99 # Processed clauses : 4967 161.92/23.99 # ...of these trivial : 146 161.92/23.99 # ...subsumed : 1039 161.92/23.99 # ...remaining for further processing : 3782 161.92/23.99 # Other redundant clauses eliminated : 130 161.92/23.99 # Clauses deleted for lack of memory : 0 161.92/23.99 # Backward-subsumed : 73 161.92/23.99 # Backward-rewritten : 663 161.92/23.99 # Generated clauses : 252440 161.92/23.99 # ...of the previous two non-redundant : 251729 161.92/23.99 # ...aggressively subsumed : 0 161.92/23.99 # Contextual simplify-reflections : 56 161.92/23.99 # Paramodulations : 251938 161.92/23.99 # Factorizations : 2 161.92/23.99 # NegExts : 18 161.92/23.99 # Equation resolutions : 186 161.92/23.99 # Propositional unsat checks : 0 161.92/23.99 # Propositional check models : 0 161.92/23.99 # Propositional check unsatisfiable : 0 161.92/23.99 # Propositional clauses : 0 161.92/23.99 # Propositional clauses after purity: 0 161.92/23.99 # Propositional unsat core size : 0 161.92/23.99 # Propositional preprocessing time : 0.000 161.92/23.99 # Propositional encoding time : 0.000 161.92/23.99 # Propositional solver time : 0.000 161.92/23.99 # Success case prop preproc time : 0.000 161.92/23.99 # Success case prop encoding time : 0.000 161.92/23.99 # Success case prop solver time : 0.000 161.92/23.99 # Current number of processed clauses : 2956 161.92/23.99 # Positive orientable unit clauses : 332 161.92/23.99 # Positive unorientable unit clauses: 19 161.92/23.99 # Negative unit clauses : 308 161.92/23.99 # Non-unit-clauses : 2297 161.92/23.99 # Current number of unprocessed clauses: 247180 161.92/23.99 # ...number of literals in the above : 1577480 161.92/23.99 # Current number of archived formulas : 0 161.92/23.99 # Current number of archived clauses : 741 161.92/23.99 # Clause-clause subsumption calls (NU) : 1921036 161.92/23.99 # Rec. Clause-clause subsumption calls : 352541 161.92/23.99 # Non-unit clause-clause subsumptions : 772 161.92/23.99 # Unit Clause-clause subsumption calls : 386697 161.92/23.99 # Rewrite failures with RHS unbound : 0 161.92/23.99 # BW rewrite match attempts : 445 161.92/23.99 # BW rewrite match successes : 69 161.92/23.99 # Condensation attempts : 0 161.92/23.99 # Condensation successes : 0 161.92/23.99 # Termbank termtop insertions : 6872423 161.92/23.99 161.92/23.99 # ------------------------------------------------- 161.92/23.99 # User time : 11.481 s 161.92/23.99 # System time : 0.279 s 161.92/23.99 # Total time : 11.760 s 161.92/23.99 # Maximum resident set size: 17764 pages 161.92/24.17 EOF