0.07/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.10 % Command : run_E %s %d THM 0.10/0.30 % Computer : n024.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 07:56:37 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 5.54/1.22 # Preprocessing class: HSLMSMSMLLLCHSA. 5.54/1.22 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 5.54/1.22 # Starting pre_casc_4 with 480s (4) cores 5.54/1.22 # Starting full_lambda_6 with 120s (1) cores 5.54/1.22 # Starting sh10 with 120s (1) cores 5.54/1.22 # Starting post_as_ho9 with 120s (1) cores 5.54/1.22 # Starting post_as_ho8 with 120s (1) cores 5.54/1.22 # post_as_ho8 with pid 11150 completed with status 0 5.54/1.22 # Result found by post_as_ho8 5.54/1.22 # Preprocessing class: HSLMSMSMLLLCHSA. 5.54/1.22 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 5.54/1.22 # Starting pre_casc_4 with 480s (4) cores 5.54/1.22 # Starting full_lambda_6 with 120s (1) cores 5.54/1.22 # Starting sh10 with 120s (1) cores 5.54/1.22 # Starting post_as_ho9 with 120s (1) cores 5.54/1.22 # Starting post_as_ho8 with 120s (1) cores 5.54/1.22 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 5.54/1.22 # ...ProofStateSinE()=174/569 5.54/1.22 # Search class: HGHSM-FSLM31-MHSMMFBN 5.54/1.22 # partial match(1): HGHSM-FSLM31-MHSMMSBN 5.54/1.22 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 5.54/1.22 # Starting new_ho_10_cnf2 with 63s (1) cores 5.54/1.22 # new_ho_10_cnf2 with pid 11156 completed with status 0 5.54/1.22 # Result found by new_ho_10_cnf2 5.54/1.22 # Preprocessing class: HSLMSMSMLLLCHSA. 5.54/1.22 # Scheduled 5 strats onto 8 cores with 120 seconds (960 total) 5.54/1.22 # Starting pre_casc_4 with 480s (4) cores 5.54/1.22 # Starting full_lambda_6 with 120s (1) cores 5.54/1.22 # Starting sh10 with 120s (1) cores 5.54/1.22 # Starting post_as_ho9 with 120s (1) cores 5.54/1.22 # Starting post_as_ho8 with 120s (1) cores 5.54/1.22 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 5.54/1.22 # ...ProofStateSinE()=174/569 5.54/1.22 # Search class: HGHSM-FSLM31-MHSMMFBN 5.54/1.22 # partial match(1): HGHSM-FSLM31-MHSMMSBN 5.54/1.22 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 5.54/1.22 # Starting new_ho_10_cnf2 with 63s (1) cores 5.54/1.22 # Preprocessing time : 0.006 s 5.54/1.22 # Presaturation interreduction done 5.54/1.22 5.54/1.22 # Proof found! 5.54/1.22 # SZS status Theorem 5.54/1.22 # SZS output start CNFRefutation 5.54/1.22 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 5.54/1.22 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 5.54/1.22 thf(decl_24, type, eps: ($i > $o) > $i). 5.54/1.22 thf(decl_25, type, in: $i > $i > $o). 5.54/1.22 thf(decl_26, type, d_Subq: $i > $i > $o). 5.54/1.22 thf(decl_27, type, emptyset: $i). 5.54/1.22 thf(decl_28, type, union: $i > $i). 5.54/1.22 thf(decl_29, type, power: $i > $i). 5.54/1.22 thf(decl_30, type, repl: $i > ($i > $i) > $i). 5.54/1.22 thf(decl_31, type, d_Union_closed: $i > $o). 5.54/1.22 thf(decl_32, type, d_Power_closed: $i > $o). 5.54/1.22 thf(decl_33, type, d_Repl_closed: $i > $o). 5.54/1.22 thf(decl_34, type, d_ZF_closed: $i > $o). 5.54/1.22 thf(decl_35, type, univof: $i > $i). 5.54/1.22 thf(decl_36, type, if: $o > $i > $i > $i). 5.54/1.22 thf(decl_37, type, nIn: $i > $i > $o). 5.54/1.22 thf(decl_38, type, d_UPair: $i > $i > $i). 5.54/1.22 thf(decl_39, type, d_Sing: $i > $i). 5.54/1.22 thf(decl_40, type, binunion: $i > $i > $i). 5.54/1.22 thf(decl_41, type, famunion: $i > ($i > $i) > $i). 5.54/1.22 thf(decl_42, type, d_Sep: $i > ($i > $o) > $i). 5.54/1.22 thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 5.54/1.22 thf(decl_44, type, setminus: $i > $i > $i). 5.54/1.22 thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 5.54/1.22 thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 5.54/1.22 thf(decl_47, type, ordsucc: $i > $i). 5.54/1.22 thf(decl_48, type, nat_p: $i > $o). 5.54/1.22 thf(decl_49, type, omega: $i). 5.54/1.22 thf(decl_50, type, d_Inj1: $i > $i). 5.54/1.22 thf(decl_51, type, d_Inj0: $i > $i). 5.54/1.22 thf(decl_52, type, d_Unj: $i > $i). 5.54/1.22 thf(decl_53, type, pair: $i > $i > $i). 5.54/1.22 thf(decl_54, type, proj0: $i > $i). 5.54/1.22 thf(decl_55, type, proj1: $i > $i). 5.54/1.22 thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i). 5.54/1.22 thf(decl_57, type, setprod: $i > $i > $i). 5.54/1.22 thf(decl_58, type, ap: $i > $i > $i). 5.54/1.22 thf(decl_59, type, pair_p: $i > $o). 5.54/1.22 thf(decl_60, type, d_Pi: $i > ($i > $i) > $i). 5.54/1.22 thf(decl_61, type, imp: $o > $o > $o). 5.54/1.22 thf(decl_62, type, d_not: $o > $o). 5.54/1.22 thf(decl_63, type, wel: $o > $o). 5.54/1.22 thf(decl_64, type, obvious: $o). 5.54/1.22 thf(decl_65, type, l_ec: $o > $o > $o). 5.54/1.22 thf(decl_66, type, d_and: $o > $o > $o). 5.54/1.22 thf(decl_67, type, l_or: $o > $o > $o). 5.54/1.22 thf(decl_68, type, orec: $o > $o > $o). 5.54/1.22 thf(decl_69, type, l_iff: $o > $o > $o). 5.54/1.22 thf(decl_70, type, all: $i > ($i > $o) > $o). 5.54/1.22 thf(decl_71, type, non: $i > ($i > $o) > $i > $o). 5.54/1.22 thf(decl_72, type, l_some: $i > ($i > $o) > $o). 5.54/1.22 thf(decl_73, type, or3: $o > $o > $o > $o). 5.54/1.22 thf(decl_74, type, and3: $o > $o > $o > $o). 5.54/1.22 thf(decl_75, type, ec3: $o > $o > $o > $o). 5.54/1.22 thf(decl_76, type, orec3: $o > $o > $o > $o). 5.54/1.22 thf(decl_77, type, e_is: $i > $i > $i > $o). 5.54/1.22 thf(decl_78, type, amone: $i > ($i > $o) > $o). 5.54/1.22 thf(decl_79, type, one: $i > ($i > $o) > $o). 5.54/1.22 thf(decl_80, type, ind: $i > ($i > $o) > $i). 5.54/1.22 thf(decl_81, type, injective: $i > $i > $i > $o). 5.54/1.22 thf(decl_82, type, image: $i > $i > $i > $i > $o). 5.54/1.22 thf(decl_83, type, tofs: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_84, type, soft: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_85, type, inverse: $i > $i > $i > $i). 5.54/1.22 thf(decl_86, type, surjective: $i > $i > $i > $o). 5.54/1.22 thf(decl_87, type, bijective: $i > $i > $i > $o). 5.54/1.22 thf(decl_88, type, invf: $i > $i > $i > $i). 5.54/1.22 thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i). 5.54/1.22 thf(decl_91, type, out: $i > ($i > $o) > $i > $i). 5.54/1.22 thf(decl_92, type, d_pair: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_93, type, first: $i > $i > $i > $i). 5.54/1.22 thf(decl_94, type, second: $i > $i > $i > $i). 5.54/1.22 thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o). 5.54/1.22 thf(decl_96, type, ite: $o > $i > $i > $i > $i). 5.54/1.22 thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_99, type, wissel: $i > $i > $i > $i). 5.54/1.22 thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_101, type, r_ec: $o > $o > $o). 5.54/1.22 thf(decl_102, type, esti: $i > $i > $i > $o). 5.54/1.22 thf(decl_103, type, empty: $i > $i > $o). 5.54/1.22 thf(decl_104, type, nonempty: $i > $i > $o). 5.54/1.22 thf(decl_105, type, incl: $i > $i > $i > $o). 5.54/1.22 thf(decl_106, type, st_disj: $i > $i > $i > $o). 5.54/1.22 thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o). 5.54/1.22 thf(decl_108, type, unmore: $i > $i > $i > $i). 5.54/1.22 thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i). 5.54/1.22 thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 5.54/1.22 thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o). 5.54/1.22 thf(decl_112, type, ect: $i > ($i > $i > $o) > $i). 5.54/1.22 thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i). 5.54/1.22 thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i). 5.54/1.22 thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i). 5.54/1.22 thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 5.54/1.22 thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 5.54/1.22 thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 5.54/1.22 thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 5.54/1.22 thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 5.54/1.22 thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 5.54/1.22 thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_123, type, nat: $i). 5.54/1.22 thf(decl_124, type, n_is: $i > $i > $o). 5.54/1.22 thf(decl_125, type, nis: $i > $i > $o). 5.54/1.22 thf(decl_126, type, n_in: $i > $i > $o). 5.54/1.22 thf(decl_127, type, n_some: ($i > $o) > $o). 5.54/1.22 thf(decl_128, type, n_all: ($i > $o) > $o). 5.54/1.22 thf(decl_129, type, n_one: ($i > $o) > $o). 5.54/1.22 thf(decl_130, type, n_1: $i). 5.54/1.22 thf(decl_131, type, cond1: $i > $o). 5.54/1.22 thf(decl_132, type, cond2: $i > $o). 5.54/1.22 thf(decl_133, type, i1_s: ($i > $o) > $i). 5.54/1.22 thf(decl_134, type, d_22_prop1: $i > $o). 5.54/1.22 thf(decl_135, type, d_23_prop1: $i > $o). 5.54/1.22 thf(decl_136, type, d_24_prop1: $i > $o). 5.54/1.22 thf(decl_137, type, d_24_prop2: $i > $i > $o). 5.54/1.22 thf(decl_138, type, prop3: $i > $i > $i > $o). 5.54/1.22 thf(decl_139, type, prop4: $i > $o). 5.54/1.22 thf(decl_140, type, d_24_g: $i > $i). 5.54/1.22 thf(decl_141, type, plus: $i > $i). 5.54/1.22 thf(decl_142, type, n_pl: $i > $i > $i). 5.54/1.22 thf(decl_143, type, d_25_prop1: $i > $i > $i > $o). 5.54/1.22 thf(decl_144, type, d_26_prop1: $i > $i > $o). 5.54/1.22 thf(decl_145, type, d_27_prop1: $i > $i > $o). 5.54/1.22 thf(decl_146, type, d_28_prop1: $i > $i > $i > $o). 5.54/1.22 thf(decl_147, type, diffprop: $i > $i > $i > $o). 5.54/1.22 thf(decl_148, type, d_29_ii: $i > $i > $o). 5.54/1.22 thf(decl_149, type, iii: $i > $i > $o). 5.54/1.22 thf(decl_150, type, d_29_prop1: $i > $i > $o). 5.54/1.22 thf(decl_151, type, moreis: $i > $i > $o). 5.54/1.22 thf(decl_152, type, lessis: $i > $i > $o). 5.54/1.22 thf(decl_153, type, lbprop: ($i > $o) > $i > $i > $o). 5.54/1.22 thf(decl_154, type, n_lb: ($i > $o) > $i > $o). 5.54/1.22 thf(decl_155, type, min: ($i > $o) > $i > $o). 5.54/1.22 thf(decl_156, type, d_428_prop1: $i > $i > $o). 5.54/1.22 thf(decl_157, type, d_428_prop2: $i > $i > $o). 5.54/1.22 thf(decl_158, type, d_428_prop4: $i > $o). 5.54/1.22 thf(decl_159, type, d_428_id: $i). 5.54/1.22 thf(decl_160, type, d_428_g: $i > $i). 5.54/1.22 thf(decl_161, type, times: $i > $i). 5.54/1.22 thf(decl_162, type, n_ts: $i > $i > $i). 5.54/1.22 thf(decl_163, type, d_429_prop1: $i > $i > $o). 5.54/1.22 thf(decl_164, type, d_430_prop1: $i > $i > $i > $o). 5.54/1.22 thf(decl_165, type, d_431_prop1: $i > $i > $i > $o). 5.54/1.22 thf(decl_166, type, n_mn: $i > $i > $i). 5.54/1.22 thf(decl_167, type, d_1to: $i > $i). 5.54/1.22 thf(decl_168, type, outn: $i > $i > $i). 5.54/1.22 thf(decl_169, type, inn: $i > $i > $i). 5.54/1.22 thf(decl_170, type, n_1o: $i). 5.54/1.22 thf(decl_171, type, singlet_u0: $i > $i). 5.54/1.22 thf(decl_172, type, n_2: $i). 5.54/1.22 thf(decl_173, type, n_1t: $i). 5.54/1.22 thf(decl_174, type, n_2t: $i). 5.54/1.22 thf(decl_175, type, pair_u0: $i > $i). 5.54/1.22 thf(decl_176, type, pair1type: $i > $i). 5.54/1.22 thf(decl_177, type, pair1: $i > $i > $i > $i). 5.54/1.22 thf(decl_178, type, first1: $i > $i > $i). 5.54/1.22 thf(decl_179, type, second1: $i > $i > $i). 5.54/1.22 thf(decl_180, type, pair_q0: $i > $i > $i). 5.54/1.22 thf(decl_181, type, d_1out: $i > $i). 5.54/1.22 thf(decl_182, type, xout: $i > $i). 5.54/1.22 thf(decl_183, type, left1to: $i > $i > $i > $i). 5.54/1.22 thf(decl_184, type, right1to: $i > $i > $i > $i). 5.54/1.22 thf(decl_185, type, left: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_186, type, right: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_187, type, left_f1: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_188, type, left_f2: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_189, type, frac: $i). 5.54/1.22 thf(decl_190, type, n_fr: $i > $i > $i). 5.54/1.22 thf(decl_191, type, num: $i > $i). 5.54/1.22 thf(decl_192, type, den: $i > $i). 5.54/1.22 thf(decl_193, type, n_eq: $i > $i > $o). 5.54/1.22 thf(decl_194, type, moref: $i > $i > $o). 5.54/1.22 thf(decl_195, type, lessf: $i > $i > $o). 5.54/1.22 thf(decl_196, type, moreq: $i > $i > $o). 5.54/1.22 thf(decl_197, type, lesseq: $i > $i > $o). 5.54/1.22 thf(decl_198, type, esk1_0: $i). 5.54/1.22 thf(decl_199, type, esk2_0: $i). 5.54/1.22 thf(decl_200, type, esk3_0: $i). 5.54/1.22 thf(decl_201, type, esk4_1: ($i > $o) > $i). 5.54/1.22 thf(decl_202, type, esk5_2: $i > ($i > $o) > $i). 5.54/1.22 thf(decl_203, type, esk6_4: $i > $i > $i > $i > $i). 5.54/1.22 thf(decl_204, type, esk7_3: $i > ($i > $i) > ($i > $i) > $i). 5.54/1.22 thf(decl_205, type, esk8_4: $i > ($i > $i) > $i > $i > $i). 5.54/1.22 thf(decl_206, type, esk9_1: $i > $i > $i). 5.54/1.22 thf(decl_207, type, epred1_0: $i > $o). 5.54/1.22 thf(decl_208, type, epred2_2: ($i > $o) > $i > $i > $o). 5.54/1.22 thf(decl_209, type, esk10_2: $i > ($i > $o) > $i > $i). 5.54/1.22 thf(decl_210, type, esk11_1: ($i > $i) > $i > $i). 5.54/1.22 thf(decl_211, type, epred3_2: ($i > $i) > $i > $i > $o). 5.54/1.22 thf(decl_212, type, epred4_1: $i > $i > $o). 5.54/1.22 thf(decl_213, type, esk12_3: $i > $i > ($i > $i) > $i). 5.54/1.22 thf(decl_214, type, esk13_0: $i > $i). 5.54/1.22 thf(decl_215, type, esk14_0: $i > $o). 5.54/1.22 thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_d_not)). 5.54/1.22 thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_imp)). 5.54/1.22 thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_lessf)). 5.54/1.22 thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_iii)). 5.54/1.22 thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_n_eq)). 5.54/1.22 thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_l_or)). 5.54/1.22 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)). 5.54/1.22 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_is_of)). 5.54/1.22 thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_moref)). 5.54/1.22 thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_d_29_ii)). 5.54/1.22 thf(def_lesseq, axiom, ((lesseq)=(^[X1:$i, X222:$i]:((l_or @ ((lessf @ X1 @ X222)) @ ((n_eq @ X1 @ X222)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_lesseq)). 5.54/1.22 thf(def_n_is, axiom, ((n_is)=(e_is @ nat)), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_n_is)). 5.54/1.22 thf(satz41g, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X271:$i]:((in @ X271 @ frac))) @ (^[X272:$i]:(((d_not @ ((lesseq @ X1 @ X272)))<=(moref @ X1 @ X272)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz41g)). 5.54/1.22 thf(satz52, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X415:$i]:((in @ X415 @ frac))) @ (^[X416:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((((lesseq @ X1 @ X4)<=(lesseq @ X416 @ X4))<=(lesseq @ X1 @ X416))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz52)). 5.54/1.22 thf(satz41k, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X397:$i]:((in @ X397 @ frac))) @ (^[X398:$i]:(((d_not @ ((lesseq @ X1 @ X398)))=>(moref @ X1 @ X398)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz41k)). 5.54/1.22 thf(satz51a, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X488:$i]:((in @ X488 @ frac))) @ (^[X489:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((((lessf @ X1 @ X4)<=(lessf @ X489 @ X4))<=(lesseq @ X1 @ X489))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz51a)). 5.54/1.22 thf(c_0_16, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])). 5.54/1.22 thf(c_0_17, plain, ((imp)=(^[Z0:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])). 5.54/1.22 thf(c_0_18, plain, ((lessf)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1)))))))), inference(fof_simplification,[status(thm)],[def_lessf])). 5.54/1.22 thf(c_0_19, plain, ((iii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])). 5.54/1.22 thf(c_0_20, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_n_eq])). 5.54/1.22 thf(c_0_21, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])). 5.54/1.22 thf(c_0_22, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])). 5.54/1.22 thf(c_0_23, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 5.54/1.22 thf(c_0_24, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 5.54/1.22 thf(c_0_25, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])). 5.54/1.22 thf(c_0_26, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])). 5.54/1.22 thf(c_0_27, plain, ((lesseq)=(^[Z0:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1))))))))=>(~($true)))))=>(((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(fof_simplification,[status(thm)],[def_lesseq])). 5.54/1.22 thf(c_0_28, 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_18, c_0_19])). 5.54/1.22 thf(c_0_29, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(apply_def,[status(thm)],[c_0_20, def_n_is])). 5.54/1.22 thf(c_0_30, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_17]), c_0_22])). 5.54/1.22 thf(c_0_31, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])). 5.54/1.22 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_25, c_0_26])). 5.54/1.22 thf(c_0_33, plain, ((lesseq)=(^[Z0:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ (n_ts @ (num @ Z0) @ (den @ Z1))))))))=>(~($true)))))=>(((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_28]), c_0_29]), c_0_30])). 5.54/1.22 thf(c_0_34, plain, ![X544:$i]:(((in @ X544 @ frac)=>![X543:$i]:(((in @ X543 @ frac)=>((n_some @ (diffprop @ (n_ts @ (num @ X544) @ (den @ X543)) @ (n_ts @ (num @ X543) @ (den @ X544))))=>~((~(n_some @ (diffprop @ (n_ts @ (num @ X543) @ (den @ X544)) @ (n_ts @ (num @ X544) @ (den @ X543))))=>(e_is @ nat @ (n_ts @ (num @ X544) @ (den @ X543)) @ (n_ts @ (num @ X543) @ (den @ X544)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz41g]), c_0_31]), c_0_22]), c_0_32]), c_0_33])])). 5.54/1.22 thf(c_0_35, negated_conjecture, ~(![X542:$i]:(((in @ X542 @ frac)=>![X541:$i]:(((in @ X541 @ frac)=>![X540:$i]:(((in @ X540 @ frac)=>((~(n_some @ (diffprop @ (n_ts @ (num @ X541) @ (den @ X542)) @ (n_ts @ (num @ X542) @ (den @ X541))))=>(e_is @ nat @ (n_ts @ (num @ X542) @ (den @ X541)) @ (n_ts @ (num @ X541) @ (den @ X542))))=>((~(n_some @ (diffprop @ (n_ts @ (num @ X540) @ (den @ X541)) @ (n_ts @ (num @ X541) @ (den @ X540))))=>(e_is @ nat @ (n_ts @ (num @ X541) @ (den @ X540)) @ (n_ts @ (num @ X540) @ (den @ X541))))=>(~(n_some @ (diffprop @ (n_ts @ (num @ X540) @ (den @ X542)) @ (n_ts @ (num @ X542) @ (den @ X540))))=>(e_is @ nat @ (n_ts @ (num @ X542) @ (den @ X540)) @ (n_ts @ (num @ X540) @ (den @ X542))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz52])]), c_0_31]), c_0_33])])). 5.54/1.22 thf(c_0_36, plain, ![X555:$i]:(((in @ X555 @ frac)=>![X554:$i]:(((in @ X554 @ frac)=>(~((~(n_some @ (diffprop @ (n_ts @ (num @ X554) @ (den @ X555)) @ (n_ts @ (num @ X555) @ (den @ X554))))=>(e_is @ nat @ (n_ts @ (num @ X555) @ (den @ X554)) @ (n_ts @ (num @ X554) @ (den @ X555)))))=>(n_some @ (diffprop @ (n_ts @ (num @ X555) @ (den @ X554)) @ (n_ts @ (num @ X554) @ (den @ X555))))))))), 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)],[satz41k]), c_0_31]), c_0_22]), c_0_32]), c_0_33])])). 5.54/1.22 thf(c_0_37, plain, ![X560:$i]:(((in @ X560 @ frac)=>![X559:$i]:(((in @ X559 @ frac)=>![X558:$i]:(((in @ X558 @ frac)=>((~(n_some @ (diffprop @ (n_ts @ (num @ X559) @ (den @ X560)) @ (n_ts @ (num @ X560) @ (den @ X559))))=>(e_is @ nat @ (n_ts @ (num @ X560) @ (den @ X559)) @ (n_ts @ (num @ X559) @ (den @ X560))))=>((n_some @ (diffprop @ (n_ts @ (num @ X558) @ (den @ X559)) @ (n_ts @ (num @ X559) @ (den @ X558))))=>(n_some @ (diffprop @ (n_ts @ (num @ X558) @ (den @ X560)) @ (n_ts @ (num @ X560) @ (den @ X558)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz51a]), c_0_31]), c_0_28]), c_0_33])])). 5.54/1.22 thf(c_0_38, plain, ![X892:$i, X893:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X893) @ (den @ X892)) @ (n_ts @ (num @ X892) @ (den @ X893))))|~(n_some @ (diffprop @ (n_ts @ (num @ X892) @ (den @ X893)) @ (n_ts @ (num @ X893) @ (den @ X892))))|~(in @ X893 @ frac)|~(in @ X892 @ frac))&(~(e_is @ nat @ (n_ts @ (num @ X892) @ (den @ X893)) @ (n_ts @ (num @ X893) @ (den @ X892)))|~(n_some @ (diffprop @ (n_ts @ (num @ X892) @ (den @ X893)) @ (n_ts @ (num @ X893) @ (den @ X892))))|~(in @ X893 @ frac)|~(in @ X892 @ frac)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])). 5.54/1.22 thf(c_0_39, negated_conjecture, ((in @ esk1_0 @ frac)&((in @ esk2_0 @ frac)&((in @ esk3_0 @ frac)&(((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))&(((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0))))|(e_is @ nat @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0))))&(~(n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0))))&~(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])). 5.54/1.22 thf(c_0_40, plain, ![X903:$i, X904:$i]:((~(in @ X903 @ frac)|(~(in @ X904 @ frac)|((n_some @ (diffprop @ (n_ts @ (num @ X904) @ (den @ X903)) @ (n_ts @ (num @ X903) @ (den @ X904))))|(e_is @ nat @ (n_ts @ (num @ X903) @ (den @ X904)) @ (n_ts @ (num @ X904) @ (den @ X903)))|(n_some @ (diffprop @ (n_ts @ (num @ X903) @ (den @ X904)) @ (n_ts @ (num @ X904) @ (den @ X903)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])). 5.54/1.22 thf(c_0_41, plain, ![X907:$i, X908:$i, X909:$i]:(((~(n_some @ (diffprop @ (n_ts @ (num @ X908) @ (den @ X907)) @ (n_ts @ (num @ X907) @ (den @ X908))))|(~(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X908)) @ (n_ts @ (num @ X908) @ (den @ X909))))|(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X907)) @ (n_ts @ (num @ X907) @ (den @ X909)))))|~(in @ X909 @ frac)|~(in @ X908 @ frac)|~(in @ X907 @ frac))&(~(e_is @ nat @ (n_ts @ (num @ X907) @ (den @ X908)) @ (n_ts @ (num @ X908) @ (den @ X907)))|(~(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X908)) @ (n_ts @ (num @ X908) @ (den @ X909))))|(n_some @ (diffprop @ (n_ts @ (num @ X909) @ (den @ X907)) @ (n_ts @ (num @ X907) @ (den @ X909)))))|~(in @ X909 @ frac)|~(in @ X908 @ frac)|~(in @ X907 @ frac)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])). 5.54/1.22 thf(c_0_42, plain, ![X4:$i, X1:$i]:((~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~((in @ X4 @ frac))|~((in @ X1 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_38])). 5.54/1.22 thf(c_0_43, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))|(e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_39])). 5.54/1.22 thf(c_0_44, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_39])). 5.54/1.22 thf(c_0_45, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_39])). 5.54/1.22 thf(c_0_46, negated_conjecture, ~((e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_39])). 5.54/1.22 thf(c_0_47, plain, ![X1:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4))))|(e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))|(n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_40])). 5.54/1.22 thf(c_0_48, negated_conjecture, (in @ esk3_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_39])). 5.54/1.22 thf(c_0_49, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_39])). 5.54/1.22 thf(c_0_50, plain, ![X5:$i, X4:$i, X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X5))))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1))))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X5)))))|~((in @ X5 @ frac))|~((in @ X4 @ frac))|~((in @ X1 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_41])). 5.54/1.22 thf(c_0_51, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0))))|(e_is @ nat @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_39])). 5.54/1.22 thf(c_0_52, plain, ![X1:$i, X4:$i]:((~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_38])). 5.54/1.22 thf(c_0_53, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))|~((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45])])). 5.54/1.22 thf(c_0_54, plain, ![X1:$i, X5:$i, X4:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X5))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))|~((n_some @ (diffprop @ (n_ts @ (num @ X5) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X5)))))|~((in @ X5 @ frac))|~((in @ X1 @ frac))|~((in @ X4 @ frac)))), inference(split_conjunct,[status(thm)],[c_0_41])). 5.54/1.22 thf(c_0_55, negated_conjecture, (n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_45])]), c_0_49])). 5.54/1.22 thf(c_0_56, negated_conjecture, ![X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk3_0))))|(n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ X1))))|~((n_some @ (diffprop @ (n_ts @ (num @ X1) @ (den @ esk3_0)) @ (n_ts @ (num @ esk3_0) @ (den @ X1)))))|~((in @ X1 @ frac)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_48]), c_0_44])])). 5.54/1.22 thf(c_0_57, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_44]), c_0_45])])). 5.54/1.22 thf(c_0_58, negated_conjecture, ![X1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ esk1_0))))|~((n_some @ (diffprop @ (n_ts @ (num @ esk3_0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ esk3_0)))))|~((in @ X1 @ frac)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_45]), c_0_48])])). 5.54/1.22 thf(c_0_59, negated_conjecture, (n_some @ (diffprop @ (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(spm,[status(thm)],[c_0_56, c_0_55]), c_0_45])]), c_0_57])). 5.54/1.22 thf(c_0_60, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_44])]), c_0_57]), ['proof']). 5.54/1.22 # SZS output end CNFRefutation 5.54/1.22 # Parsed axioms : 569 5.54/1.22 # Removed by relevancy pruning/SinE : 395 5.54/1.22 # Initial clauses : 240 5.54/1.22 # Removed in clause preprocessing : 9 5.54/1.22 # Initial clauses in saturation : 231 5.54/1.22 # Processed clauses : 1648 5.54/1.22 # ...of these trivial : 26 5.54/1.22 # ...subsumed : 720 5.54/1.22 # ...remaining for further processing : 902 5.54/1.22 # Other redundant clauses eliminated : 1 5.54/1.22 # Clauses deleted for lack of memory : 0 5.54/1.22 # Backward-subsumed : 46 5.54/1.22 # Backward-rewritten : 16 5.54/1.22 # Generated clauses : 9603 5.54/1.22 # ...of the previous two non-redundant : 9249 5.54/1.22 # ...aggressively subsumed : 0 5.54/1.22 # Contextual simplify-reflections : 117 5.54/1.22 # Paramodulations : 9594 5.54/1.22 # Factorizations : 0 5.54/1.22 # NegExts : 0 5.54/1.22 # Equation resolutions : 3 5.54/1.22 # Propositional unsat checks : 0 5.54/1.22 # Propositional check models : 0 5.54/1.22 # Propositional check unsatisfiable : 0 5.54/1.22 # Propositional clauses : 0 5.54/1.22 # Propositional clauses after purity: 0 5.54/1.22 # Propositional unsat core size : 0 5.54/1.22 # Propositional preprocessing time : 0.000 5.54/1.22 # Propositional encoding time : 0.000 5.54/1.22 # Propositional solver time : 0.000 5.54/1.22 # Success case prop preproc time : 0.000 5.54/1.22 # Success case prop encoding time : 0.000 5.54/1.22 # Success case prop solver time : 0.000 5.54/1.22 # Current number of processed clauses : 693 5.54/1.22 # Positive orientable unit clauses : 72 5.54/1.22 # Positive unorientable unit clauses: 2 5.54/1.22 # Negative unit clauses : 10 5.54/1.22 # Non-unit-clauses : 609 5.54/1.22 # Current number of unprocessed clauses: 7857 5.54/1.22 # ...number of literals in the above : 63436 5.54/1.22 # Current number of archived formulas : 0 5.54/1.22 # Current number of archived clauses : 208 5.54/1.22 # Clause-clause subsumption calls (NU) : 234452 5.54/1.22 # Rec. Clause-clause subsumption calls : 26556 5.54/1.22 # Non-unit clause-clause subsumptions : 808 5.54/1.22 # Unit Clause-clause subsumption calls : 1188 5.54/1.22 # Rewrite failures with RHS unbound : 0 5.54/1.22 # BW rewrite match attempts : 124 5.54/1.22 # BW rewrite match successes : 8 5.54/1.22 # Condensation attempts : 1648 5.54/1.22 # Condensation successes : 8 5.54/1.22 # Termbank termtop insertions : 554758 5.54/1.22 5.54/1.22 # ------------------------------------------------- 5.54/1.22 # User time : 0.711 s 5.54/1.22 # System time : 0.020 s 5.54/1.22 # Total time : 0.731 s 5.54/1.22 # Maximum resident set size: 6760 pages 5.54/1.22 EOF