0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : run_E %s %d THM
0.13/0.34	% Computer : n011.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Aug  9 07:33:21 EDT 2022
0.13/0.34	% CPUTime    : 
0.19/0.55	Running higher-order on 8 cores theorem proving
0.19/0.55	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
0.19/0.55	# Version: 3.0pre003-ho
2.33/0.92	# Preprocessing class: HSLMSMSMLLLCHSA.
2.33/0.92	# Scheduled 5 strats onto 8 cores with 120 seconds (960 total)
2.33/0.92	# Starting pre_casc_4 with 480s (4) cores
2.33/0.92	# Starting full_lambda_6 with 120s (1) cores
2.33/0.92	# Starting sh10 with 120s (1) cores
2.33/0.92	# Starting post_as_ho9 with 120s (1) cores
2.33/0.92	# Starting post_as_ho8 with 120s (1) cores
2.33/0.92	# full_lambda_6 with pid 27221 completed with status 0
2.33/0.92	# Result found by full_lambda_6
2.33/0.92	# Preprocessing class: HSLMSMSMLLLCHSA.
2.33/0.92	# Scheduled 5 strats onto 8 cores with 120 seconds (960 total)
2.33/0.92	# Starting pre_casc_4 with 480s (4) cores
2.33/0.92	# Starting full_lambda_6 with 120s (1) cores
2.33/0.92	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
2.33/0.92	# ...ProofStateSinE()=338/696
2.33/0.92	# Search class: HGHSM-FSLM32-DHSMMFBN
2.33/0.92	# partial match(2): HGHSM-FSLM32-MHSMMSBN
2.33/0.92	# Scheduled 12 strats onto 1 cores with 120 seconds (120 total)
2.33/0.92	# Starting full_lambda_5 with 10s (1) cores
2.33/0.92	# full_lambda_5 with pid 27241 completed with status 0
2.33/0.92	# Result found by full_lambda_5
2.33/0.92	# Preprocessing class: HSLMSMSMLLLCHSA.
2.33/0.92	# Scheduled 5 strats onto 8 cores with 120 seconds (960 total)
2.33/0.92	# Starting pre_casc_4 with 480s (4) cores
2.33/0.92	# Starting full_lambda_6 with 120s (1) cores
2.33/0.92	# SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
2.33/0.92	# ...ProofStateSinE()=338/696
2.33/0.92	# Search class: HGHSM-FSLM32-DHSMMFBN
2.33/0.92	# partial match(2): HGHSM-FSLM32-MHSMMSBN
2.33/0.92	# Scheduled 12 strats onto 1 cores with 120 seconds (120 total)
2.33/0.92	# Starting full_lambda_5 with 10s (1) cores
2.33/0.92	# Preprocessing time       : 0.011 s
2.33/0.92	# Presaturation interreduction done
2.33/0.92	
2.33/0.92	# Proof found!
2.33/0.92	# SZS status Theorem
2.33/0.92	# SZS output start CNFRefutation
2.33/0.92	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
2.33/0.92	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
2.33/0.92	thf(decl_24, type, eps: ($i > $o) > $i).
2.33/0.92	thf(decl_25, type, in: $i > $i > $o).
2.33/0.92	thf(decl_26, type, d_Subq: $i > $i > $o).
2.33/0.92	thf(decl_27, type, emptyset: $i).
2.33/0.92	thf(decl_28, type, union: $i > $i).
2.33/0.92	thf(decl_29, type, power: $i > $i).
2.33/0.92	thf(decl_30, type, repl: $i > ($i > $i) > $i).
2.33/0.92	thf(decl_31, type, d_Union_closed: $i > $o).
2.33/0.92	thf(decl_32, type, d_Power_closed: $i > $o).
2.33/0.92	thf(decl_33, type, d_Repl_closed: $i > $o).
2.33/0.92	thf(decl_34, type, d_ZF_closed: $i > $o).
2.33/0.92	thf(decl_35, type, univof: $i > $i).
2.33/0.92	thf(decl_36, type, if: $o > $i > $i > $i).
2.33/0.92	thf(decl_37, type, nIn: $i > $i > $o).
2.33/0.92	thf(decl_38, type, d_UPair: $i > $i > $i).
2.33/0.92	thf(decl_39, type, d_Sing: $i > $i).
2.33/0.92	thf(decl_40, type, binunion: $i > $i > $i).
2.33/0.92	thf(decl_41, type, famunion: $i > ($i > $i) > $i).
2.33/0.92	thf(decl_42, type, d_Sep: $i > ($i > $o) > $i).
2.33/0.92	thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
2.33/0.92	thf(decl_44, type, setminus: $i > $i > $i).
2.33/0.92	thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
2.33/0.92	thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
2.33/0.92	thf(decl_47, type, ordsucc: $i > $i).
2.33/0.92	thf(decl_48, type, nat_p: $i > $o).
2.33/0.92	thf(decl_49, type, omega: $i).
2.33/0.92	thf(decl_50, type, d_Inj1: $i > $i).
2.33/0.92	thf(decl_51, type, d_Inj0: $i > $i).
2.33/0.92	thf(decl_52, type, d_Unj: $i > $i).
2.33/0.92	thf(decl_53, type, pair: $i > $i > $i).
2.33/0.92	thf(decl_54, type, proj0: $i > $i).
2.33/0.92	thf(decl_55, type, proj1: $i > $i).
2.33/0.92	thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i).
2.33/0.93	thf(decl_57, type, setprod: $i > $i > $i).
2.33/0.93	thf(decl_58, type, ap: $i > $i > $i).
2.33/0.93	thf(decl_59, type, pair_p: $i > $o).
2.33/0.93	thf(decl_60, type, d_Pi: $i > ($i > $i) > $i).
2.33/0.93	thf(decl_61, type, imp: $o > $o > $o).
2.33/0.93	thf(decl_62, type, d_not: $o > $o).
2.33/0.93	thf(decl_63, type, wel: $o > $o).
2.33/0.93	thf(decl_64, type, obvious: $o).
2.33/0.93	thf(decl_65, type, l_ec: $o > $o > $o).
2.33/0.93	thf(decl_66, type, d_and: $o > $o > $o).
2.33/0.93	thf(decl_67, type, l_or: $o > $o > $o).
2.33/0.93	thf(decl_68, type, orec: $o > $o > $o).
2.33/0.93	thf(decl_69, type, l_iff: $o > $o > $o).
2.33/0.93	thf(decl_70, type, all: $i > ($i > $o) > $o).
2.33/0.93	thf(decl_71, type, non: $i > ($i > $o) > $i > $o).
2.33/0.93	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
2.33/0.93	thf(decl_73, type, or3: $o > $o > $o > $o).
2.33/0.93	thf(decl_74, type, and3: $o > $o > $o > $o).
2.33/0.93	thf(decl_75, type, ec3: $o > $o > $o > $o).
2.33/0.93	thf(decl_76, type, orec3: $o > $o > $o > $o).
2.33/0.93	thf(decl_77, type, e_is: $i > $i > $i > $o).
2.33/0.93	thf(decl_78, type, amone: $i > ($i > $o) > $o).
2.33/0.93	thf(decl_79, type, one: $i > ($i > $o) > $o).
2.33/0.93	thf(decl_80, type, ind: $i > ($i > $o) > $i).
2.33/0.93	thf(decl_81, type, injective: $i > $i > $i > $o).
2.33/0.93	thf(decl_82, type, image: $i > $i > $i > $i > $o).
2.33/0.93	thf(decl_83, type, tofs: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_84, type, soft: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_85, type, inverse: $i > $i > $i > $i).
2.33/0.93	thf(decl_86, type, surjective: $i > $i > $i > $o).
2.33/0.93	thf(decl_87, type, bijective: $i > $i > $i > $o).
2.33/0.93	thf(decl_88, type, invf: $i > $i > $i > $i).
2.33/0.93	thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i).
2.33/0.93	thf(decl_91, type, out: $i > ($i > $o) > $i > $i).
2.33/0.93	thf(decl_92, type, d_pair: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_93, type, first: $i > $i > $i > $i).
2.33/0.93	thf(decl_94, type, second: $i > $i > $i > $i).
2.33/0.93	thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o).
2.33/0.93	thf(decl_96, type, ite: $o > $i > $i > $i > $i).
2.33/0.93	thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_99, type, wissel: $i > $i > $i > $i).
2.33/0.93	thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_101, type, r_ec: $o > $o > $o).
2.33/0.93	thf(decl_102, type, esti: $i > $i > $i > $o).
2.33/0.93	thf(decl_103, type, empty: $i > $i > $o).
2.33/0.93	thf(decl_104, type, nonempty: $i > $i > $o).
2.33/0.93	thf(decl_105, type, incl: $i > $i > $i > $o).
2.33/0.93	thf(decl_106, type, st_disj: $i > $i > $i > $o).
2.33/0.93	thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o).
2.33/0.93	thf(decl_108, type, unmore: $i > $i > $i > $i).
2.33/0.93	thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i).
2.33/0.93	thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
2.33/0.93	thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o).
2.33/0.93	thf(decl_112, type, ect: $i > ($i > $i > $o) > $i).
2.33/0.93	thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i).
2.33/0.93	thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i).
2.33/0.93	thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i).
2.33/0.93	thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
2.33/0.93	thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
2.33/0.93	thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
2.33/0.93	thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
2.33/0.93	thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
2.33/0.93	thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
2.33/0.93	thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_123, type, nat: $i).
2.33/0.93	thf(decl_124, type, n_is: $i > $i > $o).
2.33/0.93	thf(decl_125, type, nis: $i > $i > $o).
2.33/0.93	thf(decl_126, type, n_in: $i > $i > $o).
2.33/0.93	thf(decl_127, type, n_some: ($i > $o) > $o).
2.33/0.93	thf(decl_128, type, n_all: ($i > $o) > $o).
2.33/0.93	thf(decl_129, type, n_one: ($i > $o) > $o).
2.33/0.93	thf(decl_130, type, n_1: $i).
2.33/0.93	thf(decl_131, type, cond1: $i > $o).
2.33/0.93	thf(decl_132, type, cond2: $i > $o).
2.33/0.93	thf(decl_133, type, i1_s: ($i > $o) > $i).
2.33/0.93	thf(decl_134, type, d_22_prop1: $i > $o).
2.33/0.93	thf(decl_135, type, d_23_prop1: $i > $o).
2.33/0.93	thf(decl_136, type, d_24_prop1: $i > $o).
2.33/0.93	thf(decl_137, type, d_24_prop2: $i > $i > $o).
2.33/0.93	thf(decl_138, type, prop3: $i > $i > $i > $o).
2.33/0.93	thf(decl_139, type, prop4: $i > $o).
2.33/0.93	thf(decl_140, type, d_24_g: $i > $i).
2.33/0.93	thf(decl_141, type, plus: $i > $i).
2.33/0.93	thf(decl_142, type, n_pl: $i > $i > $i).
2.33/0.93	thf(decl_143, type, d_25_prop1: $i > $i > $i > $o).
2.33/0.93	thf(decl_144, type, d_26_prop1: $i > $i > $o).
2.33/0.93	thf(decl_145, type, d_27_prop1: $i > $i > $o).
2.33/0.93	thf(decl_146, type, d_28_prop1: $i > $i > $i > $o).
2.33/0.93	thf(decl_147, type, diffprop: $i > $i > $i > $o).
2.33/0.93	thf(decl_148, type, d_29_ii: $i > $i > $o).
2.33/0.93	thf(decl_149, type, iii: $i > $i > $o).
2.33/0.93	thf(decl_150, type, d_29_prop1: $i > $i > $o).
2.33/0.93	thf(decl_151, type, moreis: $i > $i > $o).
2.33/0.93	thf(decl_152, type, lessis: $i > $i > $o).
2.33/0.93	thf(decl_153, type, lbprop: ($i > $o) > $i > $i > $o).
2.33/0.93	thf(decl_154, type, n_lb: ($i > $o) > $i > $o).
2.33/0.93	thf(decl_155, type, min: ($i > $o) > $i > $o).
2.33/0.93	thf(decl_156, type, d_428_prop1: $i > $i > $o).
2.33/0.93	thf(decl_157, type, d_428_prop2: $i > $i > $o).
2.33/0.93	thf(decl_158, type, d_428_prop4: $i > $o).
2.33/0.93	thf(decl_159, type, d_428_id: $i).
2.33/0.93	thf(decl_160, type, d_428_g: $i > $i).
2.33/0.93	thf(decl_161, type, times: $i > $i).
2.33/0.93	thf(decl_162, type, n_ts: $i > $i > $i).
2.33/0.93	thf(decl_163, type, d_429_prop1: $i > $i > $o).
2.33/0.93	thf(decl_164, type, d_430_prop1: $i > $i > $i > $o).
2.33/0.93	thf(decl_165, type, d_431_prop1: $i > $i > $i > $o).
2.33/0.93	thf(decl_166, type, n_mn: $i > $i > $i).
2.33/0.93	thf(decl_167, type, d_1to: $i > $i).
2.33/0.93	thf(decl_168, type, outn: $i > $i > $i).
2.33/0.93	thf(decl_169, type, inn: $i > $i > $i).
2.33/0.93	thf(decl_170, type, n_1o: $i).
2.33/0.93	thf(decl_171, type, singlet_u0: $i > $i).
2.33/0.93	thf(decl_172, type, n_2: $i).
2.33/0.93	thf(decl_173, type, n_1t: $i).
2.33/0.93	thf(decl_174, type, n_2t: $i).
2.33/0.93	thf(decl_175, type, pair_u0: $i > $i).
2.33/0.93	thf(decl_176, type, pair1type: $i > $i).
2.33/0.93	thf(decl_177, type, pair1: $i > $i > $i > $i).
2.33/0.93	thf(decl_178, type, first1: $i > $i > $i).
2.33/0.93	thf(decl_179, type, second1: $i > $i > $i).
2.33/0.93	thf(decl_180, type, pair_q0: $i > $i > $i).
2.33/0.93	thf(decl_181, type, d_1out: $i > $i).
2.33/0.93	thf(decl_182, type, xout: $i > $i).
2.33/0.93	thf(decl_183, type, left1to: $i > $i > $i > $i).
2.33/0.93	thf(decl_184, type, right1to: $i > $i > $i > $i).
2.33/0.93	thf(decl_185, type, left: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_186, type, right: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_187, type, left_f1: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_188, type, left_f2: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_189, type, frac: $i).
2.33/0.93	thf(decl_190, type, n_fr: $i > $i > $i).
2.33/0.93	thf(decl_191, type, num: $i > $i).
2.33/0.93	thf(decl_192, type, den: $i > $i).
2.33/0.93	thf(decl_193, type, n_eq: $i > $i > $o).
2.33/0.93	thf(decl_194, type, moref: $i > $i > $o).
2.33/0.93	thf(decl_195, type, lessf: $i > $i > $o).
2.33/0.93	thf(decl_196, type, moreq: $i > $i > $o).
2.33/0.93	thf(decl_197, type, lesseq: $i > $i > $o).
2.33/0.93	thf(decl_198, type, n_pf: $i > $i > $i).
2.33/0.93	thf(decl_199, type, d_367_vo: $i > $i > $i).
2.33/0.93	thf(decl_200, type, d_367_w: $i > $i > $i).
2.33/0.93	thf(decl_201, type, n_tf: $i > $i > $i).
2.33/0.93	thf(decl_202, type, d_477_v: $i > $i > $i).
2.33/0.93	thf(decl_203, type, inf: $i > $i > $o).
2.33/0.93	thf(decl_204, type, rat: $i).
2.33/0.93	thf(decl_205, type, rt_is: $i > $i > $o).
2.33/0.93	thf(decl_206, type, rt_nis: $i > $i > $o).
2.33/0.93	thf(decl_207, type, rt_some: ($i > $o) > $o).
2.33/0.93	thf(decl_208, type, rt_all: ($i > $o) > $o).
2.33/0.93	thf(decl_209, type, rt_one: ($i > $o) > $o).
2.33/0.93	thf(decl_210, type, rt_in: $i > $i > $o).
2.33/0.93	thf(decl_211, type, ratof: $i > $i).
2.33/0.93	thf(decl_212, type, class: $i > $i).
2.33/0.93	thf(decl_213, type, fixf: $i > $i > $o).
2.33/0.93	thf(decl_214, type, indrat: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_215, type, rt_more: $i > $i > $o).
2.33/0.93	thf(decl_216, type, propm: $i > $i > $i > $i > $o).
2.33/0.93	thf(decl_217, type, rt_less: $i > $i > $o).
2.33/0.93	thf(decl_218, type, propl: $i > $i > $i > $i > $o).
2.33/0.93	thf(decl_219, type, rt_moreis: $i > $i > $o).
2.33/0.93	thf(decl_220, type, rt_lessis: $i > $i > $o).
2.33/0.93	thf(decl_221, type, epred1_1: $i > $o).
2.33/0.93	thf(decl_222, type, epred2_1: $i > $o).
2.33/0.93	thf(decl_223, type, epred3_1: $i > $o).
2.33/0.93	thf(decl_224, type, epred4_1: $i > $o).
2.33/0.93	thf(decl_225, type, esk1_0: $i).
2.33/0.93	thf(decl_226, type, esk2_0: $i).
2.33/0.93	thf(decl_227, type, esk3_1: ($i > $o) > $i).
2.33/0.93	thf(decl_228, type, esk4_4: $i > $i > $i > $i > $i).
2.33/0.93	thf(decl_229, type, esk5_4: $i > ($i > $i) > $i > $i > $i).
2.33/0.93	thf(decl_230, type, esk6_3: $i > ($i > $i) > ($i > $i) > $i).
2.33/0.93	thf(decl_231, type, esk7_1: ($i > $o) > $i).
2.33/0.93	thf(decl_232, type, esk8_1: ($i > $o) > $i).
2.33/0.93	thf(decl_233, type, esk9_2: ($i > $o) > ($i > $o) > $i).
2.33/0.93	thf(decl_234, type, epred5_2: ($i > $o) > $i > $i > $o).
2.33/0.93	thf(decl_235, type, epred6_1: $i > $i > $o).
2.33/0.93	thf(decl_236, type, esk10_1: $i > $i).
2.33/0.93	thf(decl_237, type, esk11_2: $i > ($i > $o) > $i).
2.33/0.93	thf(decl_238, type, esk12_3: $i > ($i > $i) > ($i > $i) > $i).
2.33/0.93	thf(decl_239, type, esk13_2: $i > $i > $i).
2.33/0.93	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_not)).
2.33/0.93	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_imp)).
2.33/0.93	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)).
2.33/0.93	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)).
2.33/0.93	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_diffprop)).
2.33/0.93	thf(def_n_is, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)).
2.33/0.93	thf(def_d_and, axiom, ((d_and)=(^[X40:$o, X41:$o]:((d_not @ ((l_ec @ ((X40)) @ ((X41)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_and)).
2.33/0.93	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_d_29_ii)).
2.33/0.93	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_iii)).
2.33/0.93	thf(def_esti, axiom, ((esti)=(^[X1:$i]:(in))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_esti)).
2.33/0.93	thf(def_and3, axiom, ((and3)=(^[X51:$o, X52:$o, X53:$o]:((d_and @ ((X51)) @ ((d_and @ ((X52)) @ ((X53)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_and3)).
2.33/0.93	thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_moref)).
2.33/0.93	thf(def_n_some, axiom, ((n_some)=(l_some @ nat)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)).
2.33/0.93	thf(def_lessf, axiom, ((lessf)=(^[X1:$i, X220:$i]:((iii @ (n_ts @ (num @ X1) @ (den @ X220)) @ (n_ts @ (num @ X220) @ (den @ X1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^1.ax', def_lessf)).
2.33/0.93	thf(def_rt_more, axiom, ((rt_more)=(^[X1:$i, X646:$i]:((l_some @ frac @ (^[X4:$i]:((l_some @ frac @ (^[X10:$i]:((and3 @ ((inf @ X4 @ (class @ X1))) @ ((inf @ X10 @ (class @ X646))) @ ((moref @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_more)).
2.33/0.93	thf(def_inf, axiom, ((inf)=(in)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_inf)).
2.33/0.93	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_or)).
2.33/0.93	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)).
2.33/0.93	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)).
2.33/0.93	thf(def_rt_is, axiom, ((rt_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_is)).
2.33/0.93	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)).
2.33/0.93	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)).
2.33/0.93	thf(def_rt_lessis, axiom, ((rt_lessis)=(^[X1:$i, X651:$i]:((l_or @ ((rt_less @ X1 @ X651)) @ ((rt_is @ X1 @ X651)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_rt_lessis)).
2.33/0.93	thf(satz81f, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X670:$i]:((in @ X670 @ rat))) @ (^[X671:$i]:(((d_not @ ((rt_less @ X1 @ X671)))=>(rt_moreis @ X1 @ X671)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz81f)).
2.33/0.93	thf(satz81e, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ rat))) @ (^[X1:$i]:((all_of @ (^[X660:$i]:((in @ X660 @ rat))) @ (^[X661:$i]:(((d_not @ ((rt_more @ X1 @ X661)))=>(rt_lessis @ X1 @ X661)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz81e)).
2.33/0.93	thf(c_0_25, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
2.33/0.93	thf(c_0_26, plain, ((imp)=(^[Z0:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
2.33/0.93	thf(c_0_27, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
2.33/0.93	thf(c_0_28, plain, ((l_ec)=(^[Z0:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(fof_simplification,[status(thm)],[def_l_ec])).
2.33/0.93	thf(c_0_29, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_25, c_0_26])).
2.33/0.93	thf(c_0_30, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
2.33/0.93	thf(c_0_31, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_27])).
2.33/0.93	thf(c_0_32, plain, ((d_and)=(^[Z0:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_and])).
2.33/0.93	thf(c_0_33, plain, ((l_ec)=(^[Z0:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_28, c_0_26]), c_0_29])).
2.33/0.93	thf(c_0_34, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (^[Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
2.33/0.93	thf(c_0_35, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_30, c_0_31])).
2.33/0.93	thf(c_0_36, plain, ((iii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (^[Z2:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))))))), inference(fof_simplification,[status(thm)],[def_iii])).
2.33/0.93	thf(c_0_37, plain, ((esti)=(^[Z0:$i]:(in))), inference(fof_simplification,[status(thm)],[def_esti])).
2.33/0.93	thf(c_0_38, plain, ((and3)=(^[Z0:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_and3])).
2.33/0.93	thf(c_0_39, plain, ((d_and)=(^[Z0:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32, c_0_33]), c_0_29])).
2.33/0.93	thf(c_0_40, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((l_some @ nat @ (^[Z2:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))), inference(fof_simplification,[status(thm)],[def_moref])).
2.33/0.93	thf(c_0_41, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (^[Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34, def_n_some]), c_0_35])).
2.33/0.93	thf(c_0_42, plain, ((lessf)=(^[Z0:$i, Z1:$i]:(((l_some @ nat @ (^[Z2:$i]:((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))), inference(fof_simplification,[status(thm)],[def_lessf])).
2.33/0.93	thf(c_0_43, plain, ((iii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (^[Z2:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_36, def_n_some]), c_0_35])).
2.33/0.93	thf(c_0_44, plain, ((rt_more)=(^[Z0:$i, Z1:$i]:((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z2) @ (den @ Z3))=(n_pl @ (n_ts @ (num @ Z3) @ (den @ Z2)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(fof_simplification,[status(thm)],[def_rt_more])).
2.33/0.93	thf(c_0_45, axiom, ((inf)=(in)), inference(apply_def,[status(thm)],[def_inf, c_0_37])).
2.33/0.93	thf(c_0_46, plain, ((and3)=(^[Z0:$o, Z1:$o, Z2:$o]:(((((((((((Z0))))=>(((((((((((((((((Z1))))=>((((((((Z2)))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_38, c_0_39])).
2.33/0.93	thf(c_0_47, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((l_some @ nat @ (^[Z2:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))), inference(apply_def,[status(thm)],[c_0_40, c_0_41])).
2.33/0.93	thf(c_0_48, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
2.33/0.93	thf(c_0_49, plain, ((rt_less)=(^[Z0:$i, Z1:$i]:((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z3) @ (den @ Z2))=(n_pl @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(fof_simplification,[status(thm)],[def_rt_less])).
2.33/0.93	thf(c_0_50, plain, ((lessf)=(^[Z0:$i, Z1:$i]:(((l_some @ nat @ (^[Z2:$i]:((((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))), inference(apply_def,[status(thm)],[c_0_42, c_0_43])).
2.33/0.93	thf(c_0_51, plain, ((rt_moreis)=(^[Z0:$i, Z1:$i]:(((((((((((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z2) @ (den @ Z3))=(n_pl @ (n_ts @ (num @ Z3) @ (den @ Z2)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_rt_moreis])).
2.33/0.93	thf(c_0_52, plain, ((rt_more)=(^[Z0:$i, Z1:$i]:((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z2) @ (den @ Z3))=(n_pl @ (n_ts @ (num @ Z3) @ (den @ Z2)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_44, c_0_45]), c_0_46]), c_0_47])).
2.33/0.93	thf(c_0_53, axiom, ((rt_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_rt_is, c_0_27])).
2.33/0.93	thf(c_0_54, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_48, c_0_26]), c_0_29])).
2.33/0.93	thf(c_0_55, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
2.33/0.93	thf(c_0_56, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
2.33/0.93	thf(c_0_57, plain, ((rt_lessis)=(^[Z0:$i, Z1:$i]:(((((((((((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z3) @ (den @ Z2))=(n_pl @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_rt_lessis])).
2.33/0.93	thf(c_0_58, plain, ((rt_less)=(^[Z0:$i, Z1:$i]:((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z3) @ (den @ Z2))=(n_pl @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_49, c_0_45]), c_0_46]), c_0_50])).
2.33/0.93	thf(c_0_59, plain, ((rt_moreis)=(^[Z0:$i, Z1:$i]:(((((((((((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z2) @ (den @ Z3))=(n_pl @ (n_ts @ (num @ Z3) @ (den @ Z2)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51, c_0_52]), c_0_53]), c_0_54])).
2.33/0.93	thf(c_0_60, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_55, c_0_56])).
2.33/0.93	thf(c_0_61, plain, ((rt_lessis)=(^[Z0:$i, Z1:$i]:(((((((((((l_some @ frac @ (^[Z2:$i]:((l_some @ frac @ (^[Z3:$i]:((((((((((((in @ Z2 @ (class @ Z0))))))=>((((((((((((((((((in @ Z3 @ (class @ Z1))))))=>((((((((((l_some @ nat @ (^[Z4:$i]:((((n_ts @ (num @ Z3) @ (den @ Z2))=(n_pl @ (n_ts @ (num @ Z2) @ (den @ Z3)) @ Z4))))))))))))=>(~($true)))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))))))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57, c_0_53]), c_0_58]), c_0_54])).
2.33/0.93	thf(c_0_62, negated_conjecture, ~(![X775:$i]:(((in @ X775 @ rat)=>![X774:$i]:(((in @ X774 @ rat)=>(~(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X775))=>((((in @ Z1 @ (class @ X774))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>(~(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X775))=>((((in @ Z1 @ (class @ X774))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>((X775)=(X774))))))))), 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)],[satz81f])]), c_0_59]), c_0_58]), c_0_29]), c_0_60])])).
2.33/0.93	thf(c_0_63, plain, ![X829:$i]:(((in @ X829 @ rat)=>![X828:$i]:(((in @ X828 @ rat)=>(~(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X829))=>((((in @ Z1 @ (class @ X828))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>(~(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X829))=>((((in @ Z1 @ (class @ X828))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))=>((X829)=(X828)))))))), 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)],[satz81e]), c_0_52]), c_0_61]), c_0_29]), c_0_60])])).
2.33/0.93	thf(c_0_64, negated_conjecture, ((in @ esk1_0 @ rat)&((in @ esk2_0 @ rat)&(~(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))&(~(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))&((esk1_0)!=(esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])).
2.33/0.93	thf(c_0_65, plain, ![X1495:$i, X1496:$i]:((~(in @ X1495 @ rat)|(~(in @ X1496 @ rat)|((l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X1495))=>((((in @ Z1 @ (class @ X1496))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|((l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X1495))=>((((in @ Z1 @ (class @ X1496))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>~($true)))=>~($true))=>~($true)))=>~($true))))))))|((X1495)=(X1496))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])).
2.33/0.93	thf(c_0_66, negated_conjecture, ~((l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>((($true))!=(($true)))))=>((($true))!=(($true))))=>((($true))!=(($true)))))=>((($true))!=(($true))))))))))), inference(split_conjunct,[status(thm)],[c_0_64])).
2.33/0.93	thf(c_0_67, plain, ![X1:$i, X4:$i]:(((l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X1))=>((((in @ Z1 @ (class @ X4))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))=>((($true))!=(($true)))))=>((($true))!=(($true))))=>((($true))!=(($true)))))=>((($true))!=(($true))))))))))|(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ X1))=>((((in @ Z1 @ (class @ X4))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>((($true))!=(($true)))))=>((($true))!=(($true))))=>((($true))!=(($true)))))=>((($true))!=(($true))))))))))|((X1)=(X4))|~((in @ X1 @ rat))|~((in @ X4 @ rat)))), inference(split_conjunct,[status(thm)],[c_0_65])).
2.33/0.93	thf(c_0_68, negated_conjecture, ~((l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:((((in @ Z0 @ (class @ esk1_0))=>((((in @ Z1 @ (class @ esk2_0))=>((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))=>((($true))!=(($true)))))=>((($true))!=(($true))))=>((($true))!=(($true)))))=>((($true))!=(($true))))))))))), inference(split_conjunct,[status(thm)],[c_0_64])).
2.33/0.93	thf(c_0_69, negated_conjecture, ~((l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:(~(((in @ Z0 @ (class @ esk1_0))=>((in @ Z1 @ (class @ esk2_0))=>~((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))))))))), inference(cn,[status(thm)],[c_0_66])).
2.33/0.93	thf(c_0_70, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:(~(((in @ Z0 @ (class @ X1))=>((in @ Z1 @ (class @ X4))=>~((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z0) @ (den @ Z1))=(n_pl @ (n_ts @ (num @ Z1) @ (den @ Z0)) @ Z2)))))))))))))))|(l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:(~(((in @ Z0 @ (class @ X1))=>((in @ Z1 @ (class @ X4))=>~((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))))))))|~((in @ X4 @ rat))|~((in @ X1 @ rat)))), inference(cn,[status(thm)],[c_0_67])).
2.33/0.93	thf(c_0_71, negated_conjecture, (in @ esk2_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_64])).
2.33/0.93	thf(c_0_72, negated_conjecture, (in @ esk1_0 @ rat), inference(split_conjunct,[status(thm)],[c_0_64])).
2.33/0.93	thf(c_0_73, negated_conjecture, ((esk1_0)!=(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_64])).
2.33/0.93	thf(c_0_74, negated_conjecture, ~((l_some @ frac @ (^[Z0:$i]:((l_some @ frac @ (^[Z1:$i]:(~(((in @ Z0 @ (class @ esk1_0))=>((in @ Z1 @ (class @ esk2_0))=>~((l_some @ nat @ (^[Z2:$i]:(((n_ts @ (num @ Z1) @ (den @ Z0))=(n_pl @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ Z2)))))))))))))))), inference(cn,[status(thm)],[c_0_68])).
2.33/0.93	thf(c_0_75, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71]), c_0_72])]), c_0_73]), c_0_74]), ['proof']).
2.33/0.93	# SZS output end CNFRefutation
2.33/0.93	# Parsed axioms                        : 696
2.33/0.93	# Removed by relevancy pruning/SinE    : 358
2.33/0.93	# Initial clauses                      : 431
2.33/0.93	# Removed in clause preprocessing      : 42
2.33/0.93	# Initial clauses in saturation        : 389
2.33/0.93	# Processed clauses                    : 771
2.33/0.93	# ...of these trivial                  : 0
2.33/0.93	# ...subsumed                          : 267
2.33/0.93	# ...remaining for further processing  : 504
2.33/0.93	# Other redundant clauses eliminated   : 50
2.33/0.93	# Clauses deleted for lack of memory   : 0
2.33/0.93	# Backward-subsumed                    : 3
2.33/0.93	# Backward-rewritten                   : 1
2.33/0.93	# Generated clauses                    : 5427
2.33/0.93	# ...of the previous two non-redundant : 5370
2.33/0.93	# ...aggressively subsumed             : 0
2.33/0.93	# Contextual simplify-reflections      : 0
2.33/0.93	# Paramodulations                      : 1738
2.33/0.93	# Factorizations                       : 0
2.33/0.93	# NegExts                              : 0
2.33/0.93	# Equation resolutions                 : 69
2.33/0.93	# Propositional unsat checks           : 0
2.33/0.93	#    Propositional check models        : 0
2.33/0.93	#    Propositional check unsatisfiable : 0
2.33/0.93	#    Propositional clauses             : 0
2.33/0.93	#    Propositional clauses after purity: 0
2.33/0.93	#    Propositional unsat core size     : 0
2.33/0.93	#    Propositional preprocessing time  : 0.000
2.33/0.93	#    Propositional encoding time       : 0.000
2.33/0.93	#    Propositional solver time         : 0.000
2.33/0.93	#    Success case prop preproc time    : 0.000
2.33/0.93	#    Success case prop encoding time   : 0.000
2.33/0.93	#    Success case prop solver time     : 0.000
2.33/0.93	# Current number of processed clauses  : 259
2.33/0.93	#    Positive orientable unit clauses  : 24
2.33/0.93	#    Positive unorientable unit clauses: 5
2.33/0.93	#    Negative unit clauses             : 31
2.33/0.93	#    Non-unit-clauses                  : 199
2.33/0.93	# Current number of unprocessed clauses: 5065
2.33/0.93	# ...number of literals in the above   : 39981
2.33/0.93	# Current number of archived formulas  : 0
2.33/0.93	# Current number of archived clauses   : 203
2.33/0.93	# Clause-clause subsumption calls (NU) : 46928
2.33/0.93	# Rec. Clause-clause subsumption calls : 4753
2.33/0.93	# Non-unit clause-clause subsumptions  : 227
2.33/0.93	# Unit Clause-clause subsumption calls : 387
2.33/0.93	# Rewrite failures with RHS unbound    : 52
2.33/0.93	# BW rewrite match attempts            : 28
2.33/0.93	# BW rewrite match successes           : 5
2.33/0.93	# Condensation attempts                : 0
2.33/0.93	# Condensation successes               : 0
2.33/0.93	# Termbank termtop insertions          : 351792
2.33/0.93	
2.33/0.93	# -------------------------------------------------
2.33/0.93	# User time                : 0.329 s
2.33/0.93	# System time              : 0.016 s
2.33/0.93	# Total time               : 0.345 s
2.33/0.93	# Maximum resident set size: 11084 pages
2.33/0.93	EOF