0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_E %s %d THM
0.13/0.34	% Computer : n007.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 06:29:12 EDT 2022
0.13/0.34	% CPUTime    : 
0.36/0.52	Running higher-order on 8 cores theorem proving
0.36/0.52	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
0.36/0.52	# Version: 3.0pre003-ho
0.38/0.63	# Preprocessing class: HSLMSMSMLLLCHSA.
0.38/0.63	# Scheduled 5 strats onto 8 cores with 120 seconds (960 total)
0.38/0.63	# Starting pre_casc_4 with 480s (4) cores
0.38/0.63	# Starting full_lambda_6 with 120s (1) cores
0.38/0.63	# Starting sh10 with 120s (1) cores
0.38/0.63	# Starting post_as_ho9 with 120s (1) cores
0.38/0.63	# Starting post_as_ho8 with 120s (1) cores
0.38/0.63	# post_as_ho8 with pid 17680 completed with status 0
0.38/0.63	# Result found by post_as_ho8
0.38/0.63	# Preprocessing class: HSLMSMSMLLLCHSA.
0.38/0.63	# Scheduled 5 strats onto 8 cores with 120 seconds (960 total)
0.38/0.63	# Starting pre_casc_4 with 480s (4) cores
0.38/0.63	# Starting full_lambda_6 with 120s (1) cores
0.38/0.63	# Starting sh10 with 120s (1) cores
0.38/0.63	# Starting post_as_ho9 with 120s (1) cores
0.38/0.63	# Starting post_as_ho8 with 120s (1) cores
0.38/0.63	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.38/0.63	# ...ProofStateSinE()=167/562
0.38/0.63	# Search class: HGHSM-FSLM31-MHSMMFBN
0.38/0.63	# partial match(1): HGHSM-FSLM31-MHSMMSBN
0.38/0.63	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.38/0.63	# Starting new_ho_10_cnf2 with 63s (1) cores
0.38/0.63	# new_ho_10_cnf2 with pid 17687 completed with status 0
0.38/0.63	# Result found by new_ho_10_cnf2
0.38/0.63	# Preprocessing class: HSLMSMSMLLLCHSA.
0.38/0.63	# Scheduled 5 strats onto 8 cores with 120 seconds (960 total)
0.38/0.63	# Starting pre_casc_4 with 480s (4) cores
0.38/0.63	# Starting full_lambda_6 with 120s (1) cores
0.38/0.63	# Starting sh10 with 120s (1) cores
0.38/0.63	# Starting post_as_ho9 with 120s (1) cores
0.38/0.63	# Starting post_as_ho8 with 120s (1) cores
0.38/0.63	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.38/0.63	# ...ProofStateSinE()=167/562
0.38/0.63	# Search class: HGHSM-FSLM31-MHSMMFBN
0.38/0.63	# partial match(1): HGHSM-FSLM31-MHSMMSBN
0.38/0.63	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.38/0.63	# Starting new_ho_10_cnf2 with 63s (1) cores
0.38/0.63	# Preprocessing time       : 0.008 s
0.38/0.63	# Presaturation interreduction done
0.38/0.63	
0.38/0.63	# Proof found!
0.38/0.63	# SZS status Theorem
0.38/0.63	# SZS output start CNFRefutation
0.38/0.63	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
0.38/0.63	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
0.38/0.63	thf(decl_24, type, eps: ($i > $o) > $i).
0.38/0.63	thf(decl_25, type, in: $i > $i > $o).
0.38/0.63	thf(decl_26, type, d_Subq: $i > $i > $o).
0.38/0.63	thf(decl_27, type, emptyset: $i).
0.38/0.63	thf(decl_28, type, union: $i > $i).
0.38/0.63	thf(decl_29, type, power: $i > $i).
0.38/0.63	thf(decl_30, type, repl: $i > ($i > $i) > $i).
0.38/0.63	thf(decl_31, type, d_Union_closed: $i > $o).
0.38/0.63	thf(decl_32, type, d_Power_closed: $i > $o).
0.38/0.63	thf(decl_33, type, d_Repl_closed: $i > $o).
0.38/0.63	thf(decl_34, type, d_ZF_closed: $i > $o).
0.38/0.63	thf(decl_35, type, univof: $i > $i).
0.38/0.63	thf(decl_36, type, if: $o > $i > $i > $i).
0.38/0.63	thf(decl_37, type, nIn: $i > $i > $o).
0.38/0.63	thf(decl_38, type, d_UPair: $i > $i > $i).
0.38/0.63	thf(decl_39, type, d_Sing: $i > $i).
0.38/0.63	thf(decl_40, type, binunion: $i > $i > $i).
0.38/0.63	thf(decl_41, type, famunion: $i > ($i > $i) > $i).
0.38/0.63	thf(decl_42, type, d_Sep: $i > ($i > $o) > $i).
0.38/0.63	thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
0.38/0.63	thf(decl_44, type, setminus: $i > $i > $i).
0.38/0.63	thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
0.38/0.63	thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
0.38/0.63	thf(decl_47, type, ordsucc: $i > $i).
0.38/0.63	thf(decl_48, type, nat_p: $i > $o).
0.38/0.63	thf(decl_49, type, omega: $i).
0.38/0.63	thf(decl_50, type, d_Inj1: $i > $i).
0.38/0.63	thf(decl_51, type, d_Inj0: $i > $i).
0.38/0.63	thf(decl_52, type, d_Unj: $i > $i).
0.38/0.63	thf(decl_53, type, pair: $i > $i > $i).
0.38/0.63	thf(decl_54, type, proj0: $i > $i).
0.38/0.63	thf(decl_55, type, proj1: $i > $i).
0.38/0.63	thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i).
0.38/0.63	thf(decl_57, type, setprod: $i > $i > $i).
0.38/0.63	thf(decl_58, type, ap: $i > $i > $i).
0.38/0.63	thf(decl_59, type, pair_p: $i > $o).
0.38/0.63	thf(decl_60, type, d_Pi: $i > ($i > $i) > $i).
0.38/0.63	thf(decl_61, type, imp: $o > $o > $o).
0.38/0.63	thf(decl_62, type, d_not: $o > $o).
0.38/0.63	thf(decl_63, type, wel: $o > $o).
0.38/0.63	thf(decl_64, type, obvious: $o).
0.38/0.63	thf(decl_65, type, l_ec: $o > $o > $o).
0.38/0.63	thf(decl_66, type, d_and: $o > $o > $o).
0.38/0.63	thf(decl_67, type, l_or: $o > $o > $o).
0.38/0.63	thf(decl_68, type, orec: $o > $o > $o).
0.38/0.63	thf(decl_69, type, l_iff: $o > $o > $o).
0.38/0.63	thf(decl_70, type, all: $i > ($i > $o) > $o).
0.38/0.63	thf(decl_71, type, non: $i > ($i > $o) > $i > $o).
0.38/0.63	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
0.38/0.63	thf(decl_73, type, or3: $o > $o > $o > $o).
0.38/0.63	thf(decl_74, type, and3: $o > $o > $o > $o).
0.38/0.63	thf(decl_75, type, ec3: $o > $o > $o > $o).
0.38/0.63	thf(decl_76, type, orec3: $o > $o > $o > $o).
0.38/0.63	thf(decl_77, type, e_is: $i > $i > $i > $o).
0.38/0.63	thf(decl_78, type, amone: $i > ($i > $o) > $o).
0.38/0.63	thf(decl_79, type, one: $i > ($i > $o) > $o).
0.38/0.63	thf(decl_80, type, ind: $i > ($i > $o) > $i).
0.38/0.63	thf(decl_81, type, injective: $i > $i > $i > $o).
0.38/0.63	thf(decl_82, type, image: $i > $i > $i > $i > $o).
0.38/0.63	thf(decl_83, type, tofs: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_84, type, soft: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_85, type, inverse: $i > $i > $i > $i).
0.38/0.63	thf(decl_86, type, surjective: $i > $i > $i > $o).
0.38/0.63	thf(decl_87, type, bijective: $i > $i > $i > $o).
0.38/0.63	thf(decl_88, type, invf: $i > $i > $i > $i).
0.38/0.63	thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i).
0.38/0.63	thf(decl_91, type, out: $i > ($i > $o) > $i > $i).
0.38/0.63	thf(decl_92, type, d_pair: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_93, type, first: $i > $i > $i > $i).
0.38/0.63	thf(decl_94, type, second: $i > $i > $i > $i).
0.38/0.63	thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o).
0.38/0.63	thf(decl_96, type, ite: $o > $i > $i > $i > $i).
0.38/0.63	thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_99, type, wissel: $i > $i > $i > $i).
0.38/0.63	thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_101, type, r_ec: $o > $o > $o).
0.38/0.63	thf(decl_102, type, esti: $i > $i > $i > $o).
0.38/0.63	thf(decl_103, type, empty: $i > $i > $o).
0.38/0.63	thf(decl_104, type, nonempty: $i > $i > $o).
0.38/0.63	thf(decl_105, type, incl: $i > $i > $i > $o).
0.38/0.63	thf(decl_106, type, st_disj: $i > $i > $i > $o).
0.38/0.63	thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o).
0.38/0.63	thf(decl_108, type, unmore: $i > $i > $i > $i).
0.38/0.63	thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i).
0.38/0.63	thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
0.38/0.63	thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o).
0.38/0.63	thf(decl_112, type, ect: $i > ($i > $i > $o) > $i).
0.38/0.63	thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i).
0.38/0.63	thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i).
0.38/0.63	thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i).
0.38/0.63	thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
0.38/0.63	thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
0.38/0.63	thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
0.38/0.63	thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.38/0.63	thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
0.38/0.63	thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.38/0.63	thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_123, type, nat: $i).
0.38/0.63	thf(decl_124, type, n_is: $i > $i > $o).
0.38/0.63	thf(decl_125, type, nis: $i > $i > $o).
0.38/0.63	thf(decl_126, type, n_in: $i > $i > $o).
0.38/0.63	thf(decl_127, type, n_some: ($i > $o) > $o).
0.38/0.63	thf(decl_128, type, n_all: ($i > $o) > $o).
0.38/0.63	thf(decl_129, type, n_one: ($i > $o) > $o).
0.38/0.63	thf(decl_130, type, n_1: $i).
0.38/0.63	thf(decl_131, type, cond1: $i > $o).
0.38/0.63	thf(decl_132, type, cond2: $i > $o).
0.38/0.63	thf(decl_133, type, i1_s: ($i > $o) > $i).
0.38/0.63	thf(decl_134, type, d_22_prop1: $i > $o).
0.38/0.63	thf(decl_135, type, d_23_prop1: $i > $o).
0.38/0.63	thf(decl_136, type, d_24_prop1: $i > $o).
0.38/0.63	thf(decl_137, type, d_24_prop2: $i > $i > $o).
0.38/0.63	thf(decl_138, type, prop3: $i > $i > $i > $o).
0.38/0.63	thf(decl_139, type, prop4: $i > $o).
0.38/0.63	thf(decl_140, type, d_24_g: $i > $i).
0.38/0.63	thf(decl_141, type, plus: $i > $i).
0.38/0.63	thf(decl_142, type, n_pl: $i > $i > $i).
0.38/0.63	thf(decl_143, type, d_25_prop1: $i > $i > $i > $o).
0.38/0.63	thf(decl_144, type, d_26_prop1: $i > $i > $o).
0.38/0.63	thf(decl_145, type, d_27_prop1: $i > $i > $o).
0.38/0.63	thf(decl_146, type, d_28_prop1: $i > $i > $i > $o).
0.38/0.63	thf(decl_147, type, diffprop: $i > $i > $i > $o).
0.38/0.63	thf(decl_148, type, d_29_ii: $i > $i > $o).
0.38/0.63	thf(decl_149, type, iii: $i > $i > $o).
0.38/0.63	thf(decl_150, type, d_29_prop1: $i > $i > $o).
0.38/0.63	thf(decl_151, type, moreis: $i > $i > $o).
0.38/0.63	thf(decl_152, type, lessis: $i > $i > $o).
0.38/0.63	thf(decl_153, type, lbprop: ($i > $o) > $i > $i > $o).
0.38/0.63	thf(decl_154, type, n_lb: ($i > $o) > $i > $o).
0.38/0.63	thf(decl_155, type, min: ($i > $o) > $i > $o).
0.38/0.63	thf(decl_156, type, d_428_prop1: $i > $i > $o).
0.38/0.63	thf(decl_157, type, d_428_prop2: $i > $i > $o).
0.38/0.63	thf(decl_158, type, d_428_prop4: $i > $o).
0.38/0.63	thf(decl_159, type, d_428_id: $i).
0.38/0.63	thf(decl_160, type, d_428_g: $i > $i).
0.38/0.63	thf(decl_161, type, times: $i > $i).
0.38/0.63	thf(decl_162, type, n_ts: $i > $i > $i).
0.38/0.63	thf(decl_163, type, d_429_prop1: $i > $i > $o).
0.38/0.63	thf(decl_164, type, d_430_prop1: $i > $i > $i > $o).
0.38/0.63	thf(decl_165, type, d_431_prop1: $i > $i > $i > $o).
0.38/0.63	thf(decl_166, type, n_mn: $i > $i > $i).
0.38/0.63	thf(decl_167, type, d_1to: $i > $i).
0.38/0.63	thf(decl_168, type, outn: $i > $i > $i).
0.38/0.63	thf(decl_169, type, inn: $i > $i > $i).
0.38/0.63	thf(decl_170, type, n_1o: $i).
0.38/0.63	thf(decl_171, type, singlet_u0: $i > $i).
0.38/0.63	thf(decl_172, type, n_2: $i).
0.38/0.63	thf(decl_173, type, n_1t: $i).
0.38/0.63	thf(decl_174, type, n_2t: $i).
0.38/0.63	thf(decl_175, type, pair_u0: $i > $i).
0.38/0.63	thf(decl_176, type, pair1type: $i > $i).
0.38/0.63	thf(decl_177, type, pair1: $i > $i > $i > $i).
0.38/0.63	thf(decl_178, type, first1: $i > $i > $i).
0.38/0.63	thf(decl_179, type, second1: $i > $i > $i).
0.38/0.63	thf(decl_180, type, pair_q0: $i > $i > $i).
0.38/0.63	thf(decl_181, type, d_1out: $i > $i).
0.38/0.63	thf(decl_182, type, xout: $i > $i).
0.38/0.63	thf(decl_183, type, left1to: $i > $i > $i > $i).
0.38/0.63	thf(decl_184, type, right1to: $i > $i > $i > $i).
0.38/0.63	thf(decl_185, type, left: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_186, type, right: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_187, type, left_f1: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_188, type, left_f2: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_189, type, frac: $i).
0.38/0.63	thf(decl_190, type, n_fr: $i > $i > $i).
0.38/0.63	thf(decl_191, type, num: $i > $i).
0.38/0.63	thf(decl_192, type, den: $i > $i).
0.38/0.63	thf(decl_193, type, n_eq: $i > $i > $o).
0.38/0.63	thf(decl_194, type, moref: $i > $i > $o).
0.38/0.63	thf(decl_195, type, lessf: $i > $i > $o).
0.38/0.63	thf(decl_196, type, moreq: $i > $i > $o).
0.38/0.63	thf(decl_197, type, lesseq: $i > $i > $o).
0.38/0.63	thf(decl_198, type, esk1_0: $i).
0.38/0.63	thf(decl_199, type, esk2_0: $i).
0.38/0.63	thf(decl_200, type, esk3_1: ($i > $o) > $i).
0.38/0.63	thf(decl_201, type, esk4_2: $i > ($i > $o) > $i).
0.38/0.63	thf(decl_202, type, esk5_4: $i > $i > $i > $i > $i).
0.38/0.63	thf(decl_203, type, esk6_3: $i > ($i > $i) > ($i > $i) > $i).
0.38/0.63	thf(decl_204, type, esk7_4: $i > ($i > $i) > $i > $i > $i).
0.38/0.63	thf(decl_205, type, esk8_1: $i > $i > $i).
0.38/0.63	thf(decl_206, type, epred1_0: $i > $o).
0.38/0.63	thf(decl_207, type, epred2_2: ($i > $o) > $i > $i > $o).
0.38/0.63	thf(decl_208, type, esk9_2: $i > ($i > $o) > $i > $i).
0.38/0.63	thf(decl_209, type, esk10_1: ($i > $i) > $i > $i).
0.38/0.63	thf(decl_210, type, epred3_2: ($i > $i) > $i > $i > $o).
0.38/0.63	thf(decl_211, type, epred4_1: $i > $i > $o).
0.38/0.63	thf(decl_212, type, esk11_3: $i > $i > ($i > $i) > $i).
0.38/0.63	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_d_not)).
0.38/0.63	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_imp)).
0.38/0.63	thf(def_moref, axiom, ((moref)=(^[X1:$i, X219:$i]:((d_29_ii @ (n_ts @ (num @ X1) @ (den @ X219)) @ (n_ts @ (num @ X219) @ (den @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_moref)).
0.38/0.63	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_d_29_ii)).
0.38/0.63	thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_n_eq)).
0.38/0.63	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_l_or)).
0.38/0.63	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)).
0.38/0.63	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_iii)).
0.38/0.63	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)).
0.38/0.63	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_is_of)).
0.38/0.63	thf(def_moreq, axiom, ((moreq)=(^[X1:$i, X221:$i]:((l_or @ ((moref @ X1 @ X221)) @ ((n_eq @ X1 @ X221)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_moreq)).
0.38/0.63	thf(def_n_is, axiom, ((n_is)=(e_is @ nat)), file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax', def_n_is)).
0.38/0.63	thf(def_lesseq, axiom, ((lesseq)=(^[X1:$i, X222:$i]:((l_or @ ((lessf @ X1 @ X222)) @ ((n_eq @ X1 @ X222)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', def_lesseq)).
0.38/0.63	thf(satz48, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X266:$i]:((in @ X266 @ frac))) @ (^[X267:$i]:(((moreq @ X1 @ X267)=>(lesseq @ X267 @ X1)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz48)).
0.38/0.63	thf(satz38, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X455:$i]:((in @ X455 @ frac))) @ (^[X456:$i]:(((n_eq @ X456 @ X1)<=(n_eq @ X1 @ X456)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz38)).
0.38/0.63	thf(c_0_15, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.38/0.63	thf(c_0_16, plain, ((imp)=(^[Z0:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.38/0.63	thf(c_0_17, plain, ((moref)=(^[Z0:$i, Z1:$i]:(((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))), inference(fof_simplification,[status(thm)],[def_moref])).
0.38/0.63	thf(c_0_18, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.38/0.63	thf(c_0_19, plain, ((n_eq)=(^[Z0:$i, Z1:$i]:((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))), inference(fof_simplification,[status(thm)],[def_n_eq])).
0.38/0.63	thf(c_0_20, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
0.38/0.63	thf(c_0_21, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_15, c_0_16])).
0.38/0.63	thf(c_0_22, 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])).
0.38/0.63	thf(c_0_23, plain, ((iii)=(^[Z0:$i, Z1:$i]:((n_some @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])).
0.38/0.63	thf(c_0_24, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.38/0.63	thf(c_0_25, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.38/0.63	thf(c_0_26, plain, ((moreq)=(^[Z0:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(~($true)))))=>(((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(fof_simplification,[status(thm)],[def_moreq])).
0.38/0.63	thf(c_0_27, 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_17, c_0_18])).
0.38/0.63	thf(c_0_28, 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_19, def_n_is])).
0.38/0.63	thf(c_0_29, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_16]), c_0_21])).
0.38/0.63	thf(c_0_30, plain, ((lesseq)=(^[Z0:$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])).
0.38/0.63	thf(c_0_31, 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_22, c_0_23])).
0.38/0.63	thf(c_0_32, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_24, c_0_25])).
0.38/0.63	thf(c_0_33, plain, ((moreq)=(^[Z0:$i, Z1:$i]:(((((((((((n_some @ (diffprop @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0))))))))=>(~($true)))))=>(((e_is @ nat @ (n_ts @ (num @ Z0) @ (den @ Z1)) @ (n_ts @ (num @ Z1) @ (den @ Z0)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26, c_0_27]), c_0_28]), c_0_29])).
0.38/0.63	thf(c_0_34, plain, ((lesseq)=(^[Z0:$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_30, c_0_31]), c_0_28]), c_0_29])).
0.38/0.63	thf(c_0_35, negated_conjecture, ~(![X527:$i]:(((in @ X527 @ frac)=>![X526:$i]:(((in @ X526 @ frac)=>((~(n_some @ (diffprop @ (n_ts @ (num @ X527) @ (den @ X526)) @ (n_ts @ (num @ X526) @ (den @ X527))))=>(e_is @ nat @ (n_ts @ (num @ X527) @ (den @ X526)) @ (n_ts @ (num @ X526) @ (den @ X527))))=>(~(n_some @ (diffprop @ (n_ts @ (num @ X527) @ (den @ X526)) @ (n_ts @ (num @ X526) @ (den @ X527))))=>(e_is @ nat @ (n_ts @ (num @ X526) @ (den @ X527)) @ (n_ts @ (num @ X527) @ (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)],[satz48])]), c_0_32]), c_0_33]), c_0_34])])).
0.38/0.63	thf(c_0_36, plain, ![X558:$i]:(((in @ X558 @ frac)=>![X557:$i]:(((in @ X557 @ frac)=>((e_is @ nat @ (n_ts @ (num @ X558) @ (den @ X557)) @ (n_ts @ (num @ X557) @ (den @ X558)))=>(e_is @ nat @ (n_ts @ (num @ X557) @ (den @ X558)) @ (n_ts @ (num @ X558) @ (den @ X557)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz38]), c_0_32]), c_0_28])])).
0.38/0.63	thf(c_0_37, negated_conjecture, ((in @ esk1_0 @ frac)&((in @ esk2_0 @ frac)&(((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_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 @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))&~(e_is @ nat @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
0.38/0.63	thf(c_0_38, plain, ![X892:$i, X893:$i]:((~(in @ X892 @ frac)|(~(in @ X893 @ frac)|(~(e_is @ nat @ (n_ts @ (num @ X892) @ (den @ X893)) @ (n_ts @ (num @ X893) @ (den @ X892)))|(e_is @ nat @ (n_ts @ (num @ X893) @ (den @ X892)) @ (n_ts @ (num @ X892) @ (den @ X893))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])).
0.38/0.63	thf(c_0_39, negated_conjecture, ((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_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_37])).
0.38/0.63	thf(c_0_40, negated_conjecture, ~((n_some @ (diffprop @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))))), inference(split_conjunct,[status(thm)],[c_0_37])).
0.38/0.63	thf(c_0_41, plain, ![X4:$i, X1:$i]:(((e_is @ nat @ (n_ts @ (num @ X4) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X4)))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((e_is @ nat @ (n_ts @ (num @ X1) @ (den @ X4)) @ (n_ts @ (num @ X4) @ (den @ X1)))))), inference(split_conjunct,[status(thm)],[c_0_38])).
0.38/0.63	thf(c_0_42, negated_conjecture, (e_is @ nat @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)) @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0))), inference(sr,[status(thm)],[c_0_39, c_0_40])).
0.38/0.63	thf(c_0_43, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_37])).
0.38/0.63	thf(c_0_44, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_37])).
0.38/0.63	thf(c_0_45, negated_conjecture, ~((e_is @ nat @ (n_ts @ (num @ esk2_0) @ (den @ esk1_0)) @ (n_ts @ (num @ esk1_0) @ (den @ esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_37])).
0.38/0.63	thf(c_0_46, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43]), c_0_44])]), c_0_45]), ['proof']).
0.38/0.63	# SZS output end CNFRefutation
0.38/0.63	# Parsed axioms                        : 562
0.38/0.63	# Removed by relevancy pruning/SinE    : 395
0.38/0.63	# Initial clauses                      : 225
0.38/0.63	# Removed in clause preprocessing      : 7
0.38/0.63	# Initial clauses in saturation        : 218
0.38/0.63	# Processed clauses                    : 378
0.38/0.63	# ...of these trivial                  : 2
0.38/0.63	# ...subsumed                          : 96
0.38/0.63	# ...remaining for further processing  : 280
0.38/0.63	# Other redundant clauses eliminated   : 1
0.38/0.63	# Clauses deleted for lack of memory   : 0
0.38/0.63	# Backward-subsumed                    : 1
0.38/0.63	# Backward-rewritten                   : 0
0.38/0.63	# Generated clauses                    : 429
0.38/0.63	# ...of the previous two non-redundant : 390
0.38/0.63	# ...aggressively subsumed             : 0
0.38/0.63	# Contextual simplify-reflections      : 4
0.38/0.63	# Paramodulations                      : 421
0.38/0.63	# Factorizations                       : 0
0.38/0.63	# NegExts                              : 0
0.38/0.63	# Equation resolutions                 : 2
0.38/0.63	# Propositional unsat checks           : 0
0.38/0.63	#    Propositional check models        : 0
0.38/0.63	#    Propositional check unsatisfiable : 0
0.38/0.63	#    Propositional clauses             : 0
0.38/0.63	#    Propositional clauses after purity: 0
0.38/0.63	#    Propositional unsat core size     : 0
0.38/0.63	#    Propositional preprocessing time  : 0.000
0.38/0.63	#    Propositional encoding time       : 0.000
0.38/0.63	#    Propositional solver time         : 0.000
0.38/0.63	#    Success case prop preproc time    : 0.000
0.38/0.63	#    Success case prop encoding time   : 0.000
0.38/0.63	#    Success case prop solver time     : 0.000
0.38/0.63	# Current number of processed clauses  : 139
0.38/0.63	#    Positive orientable unit clauses  : 38
0.38/0.63	#    Positive unorientable unit clauses: 0
0.38/0.63	#    Negative unit clauses             : 8
0.38/0.63	#    Non-unit-clauses                  : 93
0.38/0.63	# Current number of unprocessed clauses: 366
0.38/0.63	# ...number of literals in the above   : 1984
0.38/0.63	# Current number of archived formulas  : 0
0.38/0.63	# Current number of archived clauses   : 140
0.38/0.63	# Clause-clause subsumption calls (NU) : 17807
0.38/0.63	# Rec. Clause-clause subsumption calls : 3254
0.38/0.63	# Non-unit clause-clause subsumptions  : 93
0.38/0.63	# Unit Clause-clause subsumption calls : 83
0.38/0.63	# Rewrite failures with RHS unbound    : 0
0.38/0.63	# BW rewrite match attempts            : 5
0.38/0.63	# BW rewrite match successes           : 0
0.38/0.63	# Condensation attempts                : 378
0.38/0.63	# Condensation successes               : 0
0.38/0.63	# Termbank termtop insertions          : 90352
0.38/0.63	
0.38/0.63	# -------------------------------------------------
0.38/0.63	# User time                : 0.075 s
0.38/0.63	# System time              : 0.017 s
0.38/0.63	# Total time               : 0.092 s
0.38/0.63	# Maximum resident set size: 6352 pages
0.38/0.63	
0.38/0.63	# -------------------------------------------------
0.38/0.63	# User time                : 0.091 s
0.38/0.63	# System time              : 0.021 s
0.38/0.63	# Total time               : 0.111 s
0.38/0.63	# Maximum resident set size: 2736 pages
0.38/0.63	EOF