0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_E %s %d THM 0.10/0.30 % Computer : n003.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 07:58:51 EDT 2022 0.10/0.30 % CPUTime : 0.15/0.46 Running higher-order on 8 cores theorem proving 0.15/0.46 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 0.15/0.46 # Version: 3.0pre003-ho 0.15/0.59 # Preprocessing class: HSLMSMSMLLLCHSA. 0.15/0.59 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 0.15/0.59 # Starting pre_casc_4 with 480s (4) cores 0.15/0.59 # Starting full_lambda_6 with 120s (1) cores 0.15/0.59 # Starting sh10 with 120s (1) cores 0.15/0.59 # Starting post_as_ho9 with 120s (1) cores 0.15/0.59 # Starting post_as_ho8 with 120s (1) cores 0.15/0.59 # pre_casc_4 with pid 26046 completed with status 0 0.15/0.59 # Result found by pre_casc_4 0.15/0.59 # Preprocessing class: HSLMSMSMLLLCHSA. 0.15/0.59 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 0.15/0.59 # Starting pre_casc_4 with 480s (4) cores 0.15/0.59 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.15/0.59 # ...ProofStateSinE()=175/560 0.15/0.59 # Search class: HGHSM-FSLM31-DHSMMFBN 0.15/0.59 # partial match(2): HGHSM-FSLM31-DHSFFFBN 0.15/0.59 # Scheduled 6 strats onto 4 cores with 480 seconds (480 total) 0.15/0.59 # Starting sh1l with 143s (1) cores 0.15/0.59 # Starting pre_casc_4 with 49s (1) cores 0.15/0.59 # Starting new_bool_8 with 84s (1) cores 0.15/0.59 # Starting new_bool_9 with 83s (1) cores 0.15/0.59 # sh1l with pid 26051 completed with status 0 0.15/0.59 # Result found by sh1l 0.15/0.59 # Preprocessing class: HSLMSMSMLLLCHSA. 0.15/0.59 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 0.15/0.59 # Starting pre_casc_4 with 480s (4) cores 0.15/0.59 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.15/0.59 # ...ProofStateSinE()=175/560 0.15/0.59 # Search class: HGHSM-FSLM31-DHSMMFBN 0.15/0.59 # partial match(2): HGHSM-FSLM31-DHSFFFBN 0.15/0.59 # Scheduled 6 strats onto 4 cores with 480 seconds (480 total) 0.15/0.59 # Starting sh1l with 143s (1) cores 0.15/0.59 # Preprocessing time : 0.013 s 0.15/0.59 0.15/0.59 # Proof found! 0.15/0.59 # SZS status Theorem 0.15/0.59 # SZS output start CNFRefutation 0.15/0.59 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 0.15/0.59 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 0.15/0.59 thf(decl_24, type, eps: ($i > $o) > $i). 0.15/0.59 thf(decl_25, type, in: $i > $i > $o). 0.15/0.59 thf(decl_26, type, d_Subq: $i > $i > $o). 0.15/0.59 thf(decl_27, type, emptyset: $i). 0.15/0.59 thf(decl_28, type, union: $i > $i). 0.15/0.59 thf(decl_29, type, power: $i > $i). 0.15/0.59 thf(decl_30, type, repl: $i > ($i > $i) > $i). 0.15/0.59 thf(decl_31, type, d_Union_closed: $i > $o). 0.15/0.59 thf(decl_32, type, d_Power_closed: $i > $o). 0.15/0.59 thf(decl_33, type, d_Repl_closed: $i > $o). 0.15/0.59 thf(decl_34, type, d_ZF_closed: $i > $o). 0.15/0.59 thf(decl_35, type, univof: $i > $i). 0.15/0.59 thf(decl_36, type, if: $o > $i > $i > $i). 0.15/0.59 thf(decl_37, type, nIn: $i > $i > $o). 0.15/0.59 thf(decl_38, type, d_UPair: $i > $i > $i). 0.15/0.59 thf(decl_39, type, d_Sing: $i > $i). 0.15/0.59 thf(decl_40, type, binunion: $i > $i > $i). 0.15/0.59 thf(decl_41, type, famunion: $i > ($i > $i) > $i). 0.15/0.59 thf(decl_42, type, d_Sep: $i > ($i > $o) > $i). 0.15/0.59 thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 0.15/0.59 thf(decl_44, type, setminus: $i > $i > $i). 0.15/0.59 thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 0.15/0.59 thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 0.15/0.59 thf(decl_47, type, ordsucc: $i > $i). 0.15/0.59 thf(decl_48, type, nat_p: $i > $o). 0.15/0.59 thf(decl_49, type, omega: $i). 0.15/0.59 thf(decl_50, type, d_Inj1: $i > $i). 0.15/0.59 thf(decl_51, type, d_Inj0: $i > $i). 0.15/0.59 thf(decl_52, type, d_Unj: $i > $i). 0.15/0.59 thf(decl_53, type, pair: $i > $i > $i). 0.15/0.59 thf(decl_54, type, proj0: $i > $i). 0.15/0.59 thf(decl_55, type, proj1: $i > $i). 0.15/0.59 thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i). 0.15/0.59 thf(decl_57, type, setprod: $i > $i > $i). 0.15/0.59 thf(decl_58, type, ap: $i > $i > $i). 0.15/0.59 thf(decl_59, type, pair_p: $i > $o). 0.15/0.59 thf(decl_60, type, d_Pi: $i > ($i > $i) > $i). 0.15/0.59 thf(decl_61, type, imp: $o > $o > $o). 0.15/0.59 thf(decl_62, type, d_not: $o > $o). 0.15/0.59 thf(decl_63, type, wel: $o > $o). 0.15/0.59 thf(decl_64, type, obvious: $o). 0.15/0.59 thf(decl_65, type, l_ec: $o > $o > $o). 0.15/0.59 thf(decl_66, type, d_and: $o > $o > $o). 0.15/0.59 thf(decl_67, type, l_or: $o > $o > $o). 0.15/0.59 thf(decl_68, type, orec: $o > $o > $o). 0.15/0.59 thf(decl_69, type, l_iff: $o > $o > $o). 0.15/0.59 thf(decl_70, type, all: $i > ($i > $o) > $o). 0.15/0.59 thf(decl_71, type, non: $i > ($i > $o) > $i > $o). 0.15/0.59 thf(decl_72, type, l_some: $i > ($i > $o) > $o). 0.15/0.59 thf(decl_73, type, or3: $o > $o > $o > $o). 0.15/0.59 thf(decl_74, type, and3: $o > $o > $o > $o). 0.15/0.59 thf(decl_75, type, ec3: $o > $o > $o > $o). 0.15/0.59 thf(decl_76, type, orec3: $o > $o > $o > $o). 0.15/0.59 thf(decl_77, type, e_is: $i > $i > $i > $o). 0.15/0.59 thf(decl_78, type, amone: $i > ($i > $o) > $o). 0.15/0.59 thf(decl_79, type, one: $i > ($i > $o) > $o). 0.15/0.59 thf(decl_80, type, ind: $i > ($i > $o) > $i). 0.15/0.59 thf(decl_81, type, injective: $i > $i > $i > $o). 0.15/0.59 thf(decl_82, type, image: $i > $i > $i > $i > $o). 0.15/0.59 thf(decl_83, type, tofs: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_84, type, soft: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_85, type, inverse: $i > $i > $i > $i). 0.15/0.59 thf(decl_86, type, surjective: $i > $i > $i > $o). 0.15/0.59 thf(decl_87, type, bijective: $i > $i > $i > $o). 0.15/0.59 thf(decl_88, type, invf: $i > $i > $i > $i). 0.15/0.59 thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i). 0.15/0.59 thf(decl_91, type, out: $i > ($i > $o) > $i > $i). 0.15/0.59 thf(decl_92, type, d_pair: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_93, type, first: $i > $i > $i > $i). 0.15/0.59 thf(decl_94, type, second: $i > $i > $i > $i). 0.15/0.59 thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o). 0.15/0.59 thf(decl_96, type, ite: $o > $i > $i > $i > $i). 0.15/0.59 thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_99, type, wissel: $i > $i > $i > $i). 0.15/0.59 thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_101, type, r_ec: $o > $o > $o). 0.15/0.59 thf(decl_102, type, esti: $i > $i > $i > $o). 0.15/0.59 thf(decl_103, type, empty: $i > $i > $o). 0.15/0.59 thf(decl_104, type, nonempty: $i > $i > $o). 0.15/0.59 thf(decl_105, type, incl: $i > $i > $i > $o). 0.15/0.59 thf(decl_106, type, st_disj: $i > $i > $i > $o). 0.15/0.59 thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o). 0.15/0.59 thf(decl_108, type, unmore: $i > $i > $i > $i). 0.15/0.59 thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i). 0.15/0.59 thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 0.15/0.59 thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o). 0.15/0.59 thf(decl_112, type, ect: $i > ($i > $i > $o) > $i). 0.15/0.59 thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i). 0.15/0.59 thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i). 0.15/0.59 thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i). 0.15/0.59 thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 0.15/0.59 thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 0.15/0.59 thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 0.15/0.59 thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 0.15/0.59 thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 0.15/0.59 thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 0.15/0.59 thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_123, type, nat: $i). 0.15/0.59 thf(decl_124, type, n_is: $i > $i > $o). 0.15/0.59 thf(decl_125, type, nis: $i > $i > $o). 0.15/0.59 thf(decl_126, type, n_in: $i > $i > $o). 0.15/0.59 thf(decl_127, type, n_some: ($i > $o) > $o). 0.15/0.59 thf(decl_128, type, n_all: ($i > $o) > $o). 0.15/0.59 thf(decl_129, type, n_one: ($i > $o) > $o). 0.15/0.59 thf(decl_130, type, n_1: $i). 0.15/0.59 thf(decl_131, type, cond1: $i > $o). 0.15/0.59 thf(decl_132, type, cond2: $i > $o). 0.15/0.59 thf(decl_133, type, i1_s: ($i > $o) > $i). 0.15/0.59 thf(decl_134, type, d_22_prop1: $i > $o). 0.15/0.59 thf(decl_135, type, d_23_prop1: $i > $o). 0.15/0.59 thf(decl_136, type, d_24_prop1: $i > $o). 0.15/0.59 thf(decl_137, type, d_24_prop2: $i > $i > $o). 0.15/0.59 thf(decl_138, type, prop3: $i > $i > $i > $o). 0.15/0.59 thf(decl_139, type, prop4: $i > $o). 0.15/0.59 thf(decl_140, type, d_24_g: $i > $i). 0.15/0.59 thf(decl_141, type, plus: $i > $i). 0.15/0.59 thf(decl_142, type, n_pl: $i > $i > $i). 0.15/0.59 thf(decl_143, type, d_25_prop1: $i > $i > $i > $o). 0.15/0.59 thf(decl_144, type, d_26_prop1: $i > $i > $o). 0.15/0.59 thf(decl_145, type, d_27_prop1: $i > $i > $o). 0.15/0.59 thf(decl_146, type, d_28_prop1: $i > $i > $i > $o). 0.15/0.59 thf(decl_147, type, diffprop: $i > $i > $i > $o). 0.15/0.59 thf(decl_148, type, d_29_ii: $i > $i > $o). 0.15/0.59 thf(decl_149, type, iii: $i > $i > $o). 0.15/0.59 thf(decl_150, type, d_29_prop1: $i > $i > $o). 0.15/0.59 thf(decl_151, type, moreis: $i > $i > $o). 0.15/0.59 thf(decl_152, type, lessis: $i > $i > $o). 0.15/0.59 thf(decl_153, type, lbprop: ($i > $o) > $i > $i > $o). 0.15/0.59 thf(decl_154, type, n_lb: ($i > $o) > $i > $o). 0.15/0.59 thf(decl_155, type, min: ($i > $o) > $i > $o). 0.15/0.59 thf(decl_156, type, d_428_prop1: $i > $i > $o). 0.15/0.59 thf(decl_157, type, d_428_prop2: $i > $i > $o). 0.15/0.59 thf(decl_158, type, d_428_prop4: $i > $o). 0.15/0.59 thf(decl_159, type, d_428_id: $i). 0.15/0.59 thf(decl_160, type, d_428_g: $i > $i). 0.15/0.59 thf(decl_161, type, times: $i > $i). 0.15/0.59 thf(decl_162, type, n_ts: $i > $i > $i). 0.15/0.59 thf(decl_163, type, d_429_prop1: $i > $i > $o). 0.15/0.59 thf(decl_164, type, d_430_prop1: $i > $i > $i > $o). 0.15/0.59 thf(decl_165, type, d_431_prop1: $i > $i > $i > $o). 0.15/0.59 thf(decl_166, type, n_mn: $i > $i > $i). 0.15/0.59 thf(decl_167, type, d_1to: $i > $i). 0.15/0.59 thf(decl_168, type, outn: $i > $i > $i). 0.15/0.59 thf(decl_169, type, inn: $i > $i > $i). 0.15/0.59 thf(decl_170, type, n_1o: $i). 0.15/0.59 thf(decl_171, type, singlet_u0: $i > $i). 0.15/0.59 thf(decl_172, type, n_2: $i). 0.15/0.59 thf(decl_173, type, n_1t: $i). 0.15/0.59 thf(decl_174, type, n_2t: $i). 0.15/0.59 thf(decl_175, type, pair_u0: $i > $i). 0.15/0.59 thf(decl_176, type, pair1type: $i > $i). 0.15/0.59 thf(decl_177, type, pair1: $i > $i > $i > $i). 0.15/0.59 thf(decl_178, type, first1: $i > $i > $i). 0.15/0.59 thf(decl_179, type, second1: $i > $i > $i). 0.15/0.59 thf(decl_180, type, pair_q0: $i > $i > $i). 0.15/0.59 thf(decl_181, type, d_1out: $i > $i). 0.15/0.59 thf(decl_182, type, xout: $i > $i). 0.15/0.59 thf(decl_183, type, left1to: $i > $i > $i > $i). 0.15/0.59 thf(decl_184, type, right1to: $i > $i > $i > $i). 0.15/0.59 thf(decl_185, type, left: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_186, type, right: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_187, type, left_f1: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_188, type, left_f2: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_189, type, frac: $i). 0.15/0.59 thf(decl_190, type, n_fr: $i > $i > $i). 0.15/0.59 thf(decl_191, type, num: $i > $i). 0.15/0.59 thf(decl_192, type, den: $i > $i). 0.15/0.59 thf(decl_193, type, n_eq: $i > $i > $o). 0.15/0.59 thf(decl_194, type, moref: $i > $i > $o). 0.15/0.59 thf(decl_195, type, lessf: $i > $i > $o). 0.15/0.59 thf(decl_196, type, moreq: $i > $i > $o). 0.15/0.59 thf(decl_197, type, lesseq: $i > $i > $o). 0.15/0.59 thf(decl_198, type, esk1_0: $i). 0.15/0.59 thf(decl_199, type, esk2_0: $i). 0.15/0.59 thf(decl_200, type, esk3_0: $i). 0.15/0.59 thf(decl_201, type, esk4_0: $i). 0.15/0.59 thf(decl_202, type, esk5_1: ($i > $o) > $i). 0.15/0.59 thf(decl_203, type, esk6_2: $i > ($i > $o) > $i). 0.15/0.59 thf(decl_204, type, esk7_4: $i > $i > $i > $i > $i). 0.15/0.59 thf(decl_205, type, esk8_3: $i > ($i > $i) > ($i > $i) > $i). 0.15/0.59 thf(decl_206, type, esk9_4: $i > ($i > $i) > $i > $i > $i). 0.15/0.59 thf(decl_207, type, esk10_0: $i). 0.15/0.59 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_d_not)). 0.15/0.59 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_imp)). 0.15/0.59 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_e_is)). 0.15/0.59 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/sandbox/benchmark/theBenchmark.p', def_moref)). 0.15/0.59 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)). 0.15/0.59 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_l_or)). 0.15/0.59 thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_n_eq)). 0.15/0.59 thf(def_n_is, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_n_is)). 0.15/0.59 thf(def_all_of, axiom, ((all_of)=(^[X3:$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)). 0.15/0.59 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_is_of)). 0.15/0.59 thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_lessf)). 0.15/0.59 thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_iii)). 0.15/0.59 thf(def_moreq, axiom, ((moreq)=(^[X1:$i, X221:$i]:((l_or @ ((moref @ X1 @ X221)) @ ((n_eq @ X1 @ X221)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_moreq)). 0.15/0.59 thf(satz41j, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X336:$i]:((in @ X336 @ frac))) @ (^[X337:$i]:(((d_not @ ((moreq @ X1 @ X337)))=>(lessf @ X1 @ X337)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz41j)). 0.15/0.59 thf(satz46, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X270:$i]:((in @ X270 @ frac))) @ (^[X271:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:((((n_eq @ X1 @ X4)=>((moreq @ X4 @ X10)<=(n_eq @ X271 @ X10)))<=(moreq @ X1 @ X271)))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz46)). 0.15/0.59 thf(satz41h, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X227:$i]:((in @ X227 @ frac))) @ (^[X228:$i]:(((d_not @ ((moreq @ X1 @ X228)))<=(lessf @ X1 @ X228)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz41h)). 0.15/0.59 thf(satz45, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X396:$i]:((in @ X396 @ frac))) @ (^[X397:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:((((n_eq @ X1 @ X4)=>((n_eq @ X397 @ X10)=>(lessf @ X4 @ X10)))<=(lessf @ X1 @ X397)))))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz45)). 0.15/0.59 thf(satz39, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X334:$i]:((in @ X334 @ frac))) @ (^[X335:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:(((n_eq @ X1 @ X335)=>((n_eq @ X335 @ X4)=>(n_eq @ X1 @ X4)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz39)). 0.15/0.59 thf(c_0_18, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 0.15/0.59 thf(c_0_19, plain, ((imp)=(^[Z0:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 0.15/0.59 thf(c_0_20, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 0.15/0.59 thf(c_0_21, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])). 0.15/0.59 thf(c_0_22, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])). 0.15/0.59 thf(c_0_23, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 0.15/0.59 thf(c_0_24, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])). 0.15/0.59 thf(c_0_25, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(fof_simplification,[status(thm)],[def_n_eq])). 0.15/0.59 thf(c_0_26, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_20])). 0.15/0.59 thf(c_0_27, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 0.15/0.59 thf(c_0_28, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 0.15/0.59 thf(c_0_29, plain, ((lessf)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))), inference(fof_simplification,[status(thm)],[def_lessf])). 0.15/0.59 thf(c_0_30, plain, ((iii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])). 0.15/0.59 thf(c_0_31, plain, ((moreq)=(^[Z0:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(~($true)))))=>((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(fof_simplification,[status(thm)],[def_moreq])). 0.15/0.59 thf(c_0_32, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])). 0.15/0.59 thf(c_0_33, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23, c_0_19]), c_0_24])). 0.15/0.59 thf(c_0_34, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(apply_def,[status(thm)],[c_0_25, c_0_26])). 0.15/0.59 thf(c_0_35, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_27, c_0_28])). 0.15/0.59 thf(c_0_36, plain, ((lessf)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))), inference(apply_def,[status(thm)],[c_0_29, c_0_30])). 0.15/0.59 thf(c_0_37, plain, ((moreq)=(^[Z0:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(~($true)))))=>((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34])). 0.15/0.59 thf(c_0_38, plain, ![X534:$i]:(((in @ X534 @ frac)=>![X533:$i]:(((in @ X533 @ frac)=>(~((~(n_some @ (diffprop @ (n_ts @ (num @ X534) @ (den @ X533)) @ (n_ts @ (num @ X533) @ (den @ X534))))=>((n_ts @ (num @ X534) @ (den @ X533))=(n_ts @ (num @ X533) @ (den @ X534)))))=>(n_some @ (diffprop @ (n_ts @ (num @ X533) @ (den @ X534)) @ (n_ts @ (num @ X534) @ (den @ X533))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41j]), c_0_35]), c_0_24]), c_0_36]), c_0_37])])). 0.15/0.59 thf(c_0_39, negated_conjecture, ~(![X528:$i]:(((in @ X528 @ frac)=>![X527:$i]:(((in @ X527 @ frac)=>![X526:$i]:(((in @ X526 @ frac)=>![X525:$i]:(((in @ X525 @ frac)=>((~(n_some @ (diffprop @ (n_ts @ (num @ X528) @ (den @ X527)) @ (n_ts @ (num @ X527) @ (den @ X528))))=>((n_ts @ (num @ X528) @ (den @ X527))=(n_ts @ (num @ X527) @ (den @ X528))))=>(((n_ts @ (num @ X528) @ (den @ X526))=(n_ts @ (num @ X526) @ (den @ X528)))=>(((n_ts @ (num @ X527) @ (den @ X525))=(n_ts @ (num @ X525) @ (den @ X527)))=>(~(n_some @ (diffprop @ (n_ts @ (num @ X526) @ (den @ X525)) @ (n_ts @ (num @ X525) @ (den @ X526))))=>((n_ts @ (num @ X526) @ (den @ X525))=(n_ts @ (num @ X525) @ (den @ X526)))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz46])]), c_0_35]), c_0_34]), c_0_37])])). 0.15/0.59 thf(c_0_40, plain, ![X879:$i, X880:$i]:((~(in @ X879 @ frac)|(~(in @ X880 @ frac)|((n_some @ (diffprop @ (n_ts @ (num @ X879) @ (den @ X880)) @ (n_ts @ (num @ X880) @ (den @ X879))))|((n_ts @ (num @ X879) @ (den @ X880))=(n_ts @ (num @ X880) @ (den @ X879)))|(n_some @ (diffprop @ (n_ts @ (num @ X880) @ (den @ X879)) @ (n_ts @ (num @ X879) @ (den @ X880)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])). 0.15/0.59 thf(c_0_41, negated_conjecture, ((in @ esk1_0 @ frac)&((in @ esk2_0 @ frac)&((in @ esk3_0 @ frac)&((in @ esk4_0 @ frac)&(((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))|((n_ts @ (num @ esk1_0) @ (den @ esk2_0))=(n_ts @ (num @ esk2_0) @ (den @ esk1_0))))&(((n_ts @ (num @ esk1_0) @ (den @ esk3_0))=(n_ts @ (num @ esk3_0) @ (den @ esk1_0)))&(((n_ts @ (num @ esk2_0) @ (den @ esk4_0))=(n_ts @ (num @ esk4_0) @ (den @ esk2_0)))&(~(n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0))))&((n_ts @ (num @ esk3_0) @ (den @ esk4_0))!=(n_ts @ (num @ esk4_0) @ (den @ esk3_0))))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])). 0.15/0.59 thf(c_0_42, plain, ![X530:$i]:(((in @ X530 @ frac)=>![X529:$i]:(((in @ X529 @ frac)=>((n_some @ (diffprop @ (n_ts @ (num @ X529) @ (den @ X530)) @ (n_ts @ (num @ X530) @ (den @ X529))))=>~((~(n_some @ (diffprop @ (n_ts @ (num @ X530) @ (den @ X529)) @ (n_ts @ (num @ X529) @ (den @ X530))))=>((n_ts @ (num @ X530) @ (den @ X529))=(n_ts @ (num @ X529) @ (den @ X530)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41h]), c_0_35]), c_0_24]), c_0_36]), c_0_37])])). 0.15/0.59 thf(c_0_43, plain, ![X555:$i]:(((in @ X555 @ frac)=>![X554:$i]:(((in @ X554 @ frac)=>![X553:$i]:(((in @ X553 @ frac)=>![X552:$i]:(((in @ X552 @ frac)=>((n_some @ (diffprop @ (n_ts @ (num @ X554) @ (den @ X555)) @ (n_ts @ (num @ X555) @ (den @ X554))))=>(((n_ts @ (num @ X555) @ (den @ X553))=(n_ts @ (num @ X553) @ (den @ X555)))=>(((n_ts @ (num @ X554) @ (den @ X552))=(n_ts @ (num @ X552) @ (den @ X554)))=>(n_some @ (diffprop @ (n_ts @ (num @ X552) @ (den @ X553)) @ (n_ts @ (num @ X553) @ (den @ X552))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz45]), c_0_35]), c_0_36]), c_0_34])])). 0.15/0.59 thf(c_0_44, plain, ![X1:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|((n_ts @ (num @ X1) @ (den @ X4))=(n_ts @ (num @ X4) @ (den @ X1)))|(n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4))))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.15/0.59 thf(c_0_45, negated_conjecture, (in @ esk4_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_46, plain, ![X542:$i]:(((in @ X542 @ frac)=>![X541:$i]:(((in @ X541 @ frac)=>![X540:$i]:(((in @ X540 @ frac)=>(((n_ts @ (num @ X542) @ (den @ X541))=(n_ts @ (num @ X541) @ (den @ X542)))=>(((n_ts @ (num @ X541) @ (den @ X540))=(n_ts @ (num @ X540) @ (den @ X541)))=>((n_ts @ (num @ X542) @ (den @ X540))=(n_ts @ (num @ X540) @ (den @ X542))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz39]), c_0_35]), c_0_34])). 0.15/0.59 thf(c_0_47, plain, ![X875:$i, X876:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X875) @ (den @ X876)) @ (n_ts @ (num @ X876) @ (den @ X875))))|~(n_some @ (diffprop @ (n_ts @ (num @ X876) @ (den @ X875)) @ (n_ts @ (num @ X875) @ (den @ X876))))|~(in @ X876 @ frac)|~(in @ X875 @ frac))&(((n_ts @ (num @ X875) @ (den @ X876))!=(n_ts @ (num @ X876) @ (den @ X875)))|~(n_some @ (diffprop @ (n_ts @ (num @ X876) @ (den @ X875)) @ (n_ts @ (num @ X875) @ (den @ X876))))|~(in @ X876 @ frac)|~(in @ X875 @ frac)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])). 0.15/0.59 thf(c_0_48, plain, ![X900:$i, X901:$i, X902:$i, X903:$i]:((~(in @ X900 @ frac)|(~(in @ X901 @ frac)|(~(in @ X902 @ frac)|(~(in @ X903 @ frac)|(~(n_some @ (diffprop @ (n_ts @ (num @ X901) @ (den @ X900)) @ (n_ts @ (num @ X900) @ (den @ X901))))|(((n_ts @ (num @ X900) @ (den @ X902))!=(n_ts @ (num @ X902) @ (den @ X900)))|(((n_ts @ (num @ X901) @ (den @ X903))!=(n_ts @ (num @ X903) @ (den @ X901)))|(n_some @ (diffprop @ (n_ts @ (num @ X903) @ (den @ X902)) @ (n_ts @ (num @ X902) @ (den @ X903)))))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])). 0.15/0.59 thf(c_0_49, negated_conjecture, ![X1:$i]:((((n_ts @ (num @ X1) @ (den @ esk4_0))=(n_ts @ (num @ esk4_0) @ (den @ X1)))|(n_some @ (diffprop @ (n_ts @ (num @ esk4_0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ esk4_0))))|(n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ X1))))|~((in @ X1 @ frac)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.15/0.59 thf(c_0_50, negated_conjecture, (in @ esk3_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_51, negated_conjecture, ((n_ts @ (num @ esk3_0) @ (den @ esk4_0))!=(n_ts @ (num @ esk4_0) @ (den @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_52, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_53, plain, ![X886:$i, X887:$i, X888:$i]:((~(in @ X886 @ frac)|(~(in @ X887 @ frac)|(~(in @ X888 @ frac)|(((n_ts @ (num @ X886) @ (den @ X887))!=(n_ts @ (num @ X887) @ (den @ X886)))|(((n_ts @ (num @ X887) @ (den @ X888))!=(n_ts @ (num @ X888) @ (den @ X887)))|((n_ts @ (num @ X886) @ (den @ X888))=(n_ts @ (num @ X888) @ (den @ X886))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])). 0.15/0.59 thf(c_0_54, plain, ![X4:$i, X1:$i]:((~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))))|~((in @ X4 @ frac))|~((in @ X1 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.15/0.59 thf(c_0_55, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))|((n_ts @ (num @ esk1_0) @ (den @ esk2_0))=(n_ts @ (num @ esk2_0) @ (den @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_56, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_57, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_58, plain, ![X1:$i, X6:$i, X5:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X6) @ (den @ X5)) @ (n_ts @ (num @ X5) @ (den @ X6))))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ frac))|~((in @ X6 @ frac))|~((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))))|((n_ts @ (num @ X1) @ (den @ X5))!=(n_ts @ (num @ X5) @ (den @ X1)))|((n_ts @ (num @ X4) @ (den @ X6))!=(n_ts @ (num @ X6) @ (den @ X4))))), inference(split_conjunct,[status(thm)],[c_0_48])). 0.15/0.59 thf(c_0_59, negated_conjecture, (n_some @ (diffprop @ (n_ts @ (num @ esk4_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk4_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51]), c_0_52])). 0.15/0.59 thf(c_0_60, plain, ![X4:$i, X1:$i]:((((n_ts @ (num @ X1) @ (den @ X4))!=(n_ts @ (num @ X4) @ (den @ X1)))|~((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))))|~((in @ X4 @ frac))|~((in @ X1 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.15/0.59 thf(c_0_61, negated_conjecture, ((n_ts @ (num @ esk2_0) @ (den @ esk4_0))=(n_ts @ (num @ esk4_0) @ (den @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_62, plain, ![X1:$i, X5:$i, X4:$i]:((((n_ts @ (num @ X1) @ (den @ X5))=(n_ts @ (num @ X5) @ (den @ X1)))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ frac))|((n_ts @ (num @ X1) @ (den @ X4))!=(n_ts @ (num @ X4) @ (den @ X1)))|((n_ts @ (num @ X4) @ (den @ X5))!=(n_ts @ (num @ X5) @ (den @ X4))))), inference(split_conjunct,[status(thm)],[c_0_53])). 0.15/0.59 thf(c_0_63, negated_conjecture, ((n_ts @ (num @ esk1_0) @ (den @ esk3_0))=(n_ts @ (num @ esk3_0) @ (den @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.15/0.59 thf(c_0_64, negated_conjecture, (((n_ts @ (num @ esk2_0) @ (den @ esk1_0))=(n_ts @ (num @ esk1_0) @ (den @ esk2_0)))|~((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56]), c_0_57])])). 0.15/0.59 thf(c_0_65, negated_conjecture, ![X1:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|((n_ts @ (num @ esk4_0) @ (den @ X1))!=(n_ts @ (num @ X1) @ (den @ esk4_0)))|((n_ts @ (num @ esk3_0) @ (den @ X4))!=(n_ts @ (num @ X4) @ (den @ esk3_0)))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_45]), c_0_50])])). 0.15/0.59 thf(c_0_66, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk4_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk4_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_57]), c_0_45])])). 0.15/0.59 thf(c_0_67, negated_conjecture, ![X1:$i]:((((n_ts @ (num @ X1) @ (den @ esk3_0))=(n_ts @ (num @ esk3_0) @ (den @ X1)))|((n_ts @ (num @ X1) @ (den @ esk1_0))!=(n_ts @ (num @ esk1_0) @ (den @ X1)))|~((in @ X1 @ frac)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_50]), c_0_56])])). 0.15/0.59 thf(c_0_68, negated_conjecture, ((n_ts @ (num @ esk2_0) @ (den @ esk1_0))=(n_ts @ (num @ esk1_0) @ (den @ esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_61]), c_0_63]), c_0_57]), c_0_56])])). 0.15/0.59 thf(c_0_69, negated_conjecture, ((n_ts @ (num @ esk3_0) @ (den @ esk2_0))!=(n_ts @ (num @ esk2_0) @ (den @ esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_61]), c_0_45]), c_0_57])]), c_0_66])). 0.15/0.59 thf(c_0_70, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_57])]), c_0_69]), ['proof']). 0.15/0.59 # SZS output end CNFRefutation 0.15/0.59 # Parsed axioms : 560 0.15/0.59 # Removed by relevancy pruning/SinE : 385 0.15/0.59 # Initial clauses : 217 0.15/0.59 # Removed in clause preprocessing : 35 0.15/0.59 # Initial clauses in saturation : 182 0.15/0.59 # Processed clauses : 297 0.15/0.59 # ...of these trivial : 0 0.15/0.59 # ...subsumed : 103 0.15/0.59 # ...remaining for further processing : 193 0.15/0.59 # Other redundant clauses eliminated : 36 0.15/0.59 # Clauses deleted for lack of memory : 0 0.15/0.59 # Backward-subsumed : 2 0.15/0.59 # Backward-rewritten : 6 0.15/0.59 # Generated clauses : 1171 0.15/0.59 # ...of the previous two non-redundant : 1118 0.15/0.59 # ...aggressively subsumed : 0 0.15/0.59 # Contextual simplify-reflections : 0 0.15/0.59 # Paramodulations : 1073 0.15/0.59 # Factorizations : 0 0.15/0.59 # NegExts : 1 0.15/0.59 # Equation resolutions : 47 0.15/0.59 # Propositional unsat checks : 0 0.15/0.59 # Propositional check models : 0 0.15/0.59 # Propositional check unsatisfiable : 0 0.15/0.59 # Propositional clauses : 0 0.15/0.59 # Propositional clauses after purity: 0 0.15/0.59 # Propositional unsat core size : 0 0.15/0.59 # Propositional preprocessing time : 0.000 0.15/0.59 # Propositional encoding time : 0.000 0.15/0.59 # Propositional solver time : 0.000 0.15/0.59 # Success case prop preproc time : 0.000 0.15/0.59 # Success case prop encoding time : 0.000 0.15/0.59 # Success case prop solver time : 0.000 0.15/0.59 # Current number of processed clauses : 154 0.15/0.59 # Positive orientable unit clauses : 34 0.15/0.59 # Positive unorientable unit clauses: 5 0.15/0.59 # Negative unit clauses : 21 0.15/0.59 # Non-unit-clauses : 94 0.15/0.59 # Current number of unprocessed clauses: 998 0.15/0.59 # ...number of literals in the above : 4218 0.15/0.59 # Current number of archived formulas : 0 0.15/0.59 # Current number of archived clauses : 11 0.15/0.59 # Clause-clause subsumption calls (NU) : 8519 0.15/0.59 # Rec. Clause-clause subsumption calls : 1530 0.15/0.59 # Non-unit clause-clause subsumptions : 81 0.15/0.59 # Unit Clause-clause subsumption calls : 432 0.15/0.59 # Rewrite failures with RHS unbound : 0 0.15/0.59 # BW rewrite match attempts : 300 0.15/0.59 # BW rewrite match successes : 144 0.15/0.59 # Condensation attempts : 0 0.15/0.59 # Condensation successes : 0 0.15/0.59 # Termbank termtop insertions : 145163 0.15/0.59 0.15/0.59 # ------------------------------------------------- 0.15/0.59 # User time : 0.098 s 0.15/0.59 # System time : 0.011 s 0.15/0.59 # Total time : 0.110 s 0.15/0.59 # Maximum resident set size: 6412 pages 0.15/0.59 0.15/0.59 # ------------------------------------------------- 0.15/0.59 # User time : 0.330 s 0.15/0.59 # System time : 0.037 s 0.15/0.59 # Total time : 0.367 s 0.15/0.59 # Maximum resident set size: 2724 pages 0.15/0.59 EOF