0.10/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.14	% Command    : run_E %s %d THM
0.11/0.35	% Computer : n029.cluster.edu
0.11/0.35	% Model    : x86_64 x86_64
0.11/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.35	% Memory   : 8042.1875MB
0.11/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.35	% CPULimit   : 960
0.11/0.35	% WCLimit    : 120
0.11/0.35	% DateTime   : Tue Aug  9 07:08:54 EDT 2022
0.11/0.35	% CPUTime    : 
0.18/0.50	Running higher-order on 8 cores theorem proving
0.18/0.50	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.18/0.50	# Version: 3.0pre003-ho
0.53/0.60	# Preprocessing class: HSLMSMSSLLLCHSA.
0.53/0.60	# Scheduled 6 strats onto 8 cores with 120 seconds (960 total)
0.53/0.60	# Starting lpo1_fix with 360s (3) cores
0.53/0.60	# Starting full_lambda_9 with 120s (1) cores
0.53/0.60	# Starting almost_fo_4 with 120s (1) cores
0.53/0.60	# Starting new_ho_9 with 120s (1) cores
0.53/0.60	# Starting pre_casc_4 with 120s (1) cores
0.53/0.60	# Starting ho_unfolding_6 with 120s (1) cores
0.53/0.60	# lpo1_fix with pid 19786 completed with status 0
0.53/0.60	# Result found by lpo1_fix
0.53/0.60	# Preprocessing class: HSLMSMSSLLLCHSA.
0.53/0.60	# Scheduled 6 strats onto 8 cores with 120 seconds (960 total)
0.53/0.60	# Starting lpo1_fix with 360s (3) cores
0.53/0.60	# No SInE strategy applied
0.53/0.60	# Search class: HGHSM-FSLM32-MHSMMSBN
0.53/0.60	# Scheduled 11 strats onto 3 cores with 360 seconds (360 total)
0.53/0.60	# Starting full_lambda_5 with 33s (1) cores
0.53/0.60	# Starting new_ho_6 with 33s (1) cores
0.53/0.60	# Starting pre_casc_4 with 33s (1) cores
0.53/0.60	# new_ho_6 with pid 19798 completed with status 0
0.53/0.60	# Result found by new_ho_6
0.53/0.60	# Preprocessing class: HSLMSMSSLLLCHSA.
0.53/0.60	# Scheduled 6 strats onto 8 cores with 120 seconds (960 total)
0.53/0.60	# Starting lpo1_fix with 360s (3) cores
0.66/0.60	# No SInE strategy applied
0.66/0.60	# Search class: HGHSM-FSLM32-MHSMMSBN
0.66/0.60	# Scheduled 11 strats onto 3 cores with 360 seconds (360 total)
0.66/0.60	# Starting full_lambda_5 with 33s (1) cores
0.66/0.60	# Starting new_ho_6 with 33s (1) cores
0.66/0.60	# Preprocessing time       : 0.009 s
0.66/0.60	
0.66/0.60	# Proof found!
0.66/0.60	# SZS status Theorem
0.66/0.60	# SZS output start CNFRefutation
0.66/0.60	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
0.66/0.60	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
0.66/0.60	thf(decl_24, type, eps: ($i > $o) > $i).
0.66/0.60	thf(decl_25, type, in: $i > $i > $o).
0.66/0.60	thf(decl_26, type, d_Subq: $i > $i > $o).
0.66/0.60	thf(decl_27, type, emptyset: $i).
0.66/0.60	thf(decl_28, type, union: $i > $i).
0.66/0.60	thf(decl_29, type, power: $i > $i).
0.66/0.60	thf(decl_30, type, repl: $i > ($i > $i) > $i).
0.66/0.60	thf(decl_31, type, d_Union_closed: $i > $o).
0.66/0.60	thf(decl_32, type, d_Power_closed: $i > $o).
0.66/0.60	thf(decl_33, type, d_Repl_closed: $i > $o).
0.66/0.60	thf(decl_34, type, d_ZF_closed: $i > $o).
0.66/0.60	thf(decl_35, type, univof: $i > $i).
0.66/0.60	thf(decl_36, type, if: $o > $i > $i > $i).
0.66/0.60	thf(decl_37, type, nIn: $i > $i > $o).
0.66/0.60	thf(decl_38, type, d_UPair: $i > $i > $i).
0.66/0.60	thf(decl_39, type, d_Sing: $i > $i).
0.66/0.60	thf(decl_40, type, binunion: $i > $i > $i).
0.66/0.60	thf(decl_41, type, famunion: $i > ($i > $i) > $i).
0.66/0.60	thf(decl_42, type, d_Sep: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
0.66/0.60	thf(decl_44, type, setminus: $i > $i > $i).
0.66/0.60	thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
0.66/0.60	thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
0.66/0.60	thf(decl_47, type, ordsucc: $i > $i).
0.66/0.60	thf(decl_48, type, nat_p: $i > $o).
0.66/0.60	thf(decl_49, type, omega: $i).
0.66/0.60	thf(decl_50, type, d_Inj1: $i > $i).
0.66/0.60	thf(decl_51, type, d_Inj0: $i > $i).
0.66/0.60	thf(decl_52, type, d_Unj: $i > $i).
0.66/0.60	thf(decl_53, type, pair: $i > $i > $i).
0.66/0.60	thf(decl_54, type, proj0: $i > $i).
0.66/0.60	thf(decl_55, type, proj1: $i > $i).
0.66/0.60	thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i).
0.66/0.60	thf(decl_57, type, setprod: $i > $i > $i).
0.66/0.60	thf(decl_58, type, ap: $i > $i > $i).
0.66/0.60	thf(decl_59, type, pair_p: $i > $o).
0.66/0.60	thf(decl_60, type, d_Pi: $i > ($i > $i) > $i).
0.66/0.60	thf(decl_61, type, imp: $o > $o > $o).
0.66/0.60	thf(decl_62, type, d_not: $o > $o).
0.66/0.60	thf(decl_63, type, wel: $o > $o).
0.66/0.60	thf(decl_64, type, obvious: $o).
0.66/0.60	thf(decl_65, type, l_ec: $o > $o > $o).
0.66/0.60	thf(decl_66, type, d_and: $o > $o > $o).
0.66/0.60	thf(decl_67, type, l_or: $o > $o > $o).
0.66/0.60	thf(decl_68, type, orec: $o > $o > $o).
0.66/0.60	thf(decl_69, type, l_iff: $o > $o > $o).
0.66/0.60	thf(decl_70, type, all: $i > ($i > $o) > $o).
0.66/0.60	thf(decl_71, type, non: $i > ($i > $o) > $i > $o).
0.66/0.60	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
0.66/0.60	thf(decl_73, type, or3: $o > $o > $o > $o).
0.66/0.60	thf(decl_74, type, and3: $o > $o > $o > $o).
0.66/0.60	thf(decl_75, type, ec3: $o > $o > $o > $o).
0.66/0.60	thf(decl_76, type, orec3: $o > $o > $o > $o).
0.66/0.60	thf(decl_77, type, e_is: $i > $i > $i > $o).
0.66/0.60	thf(decl_78, type, amone: $i > ($i > $o) > $o).
0.66/0.60	thf(decl_79, type, one: $i > ($i > $o) > $o).
0.66/0.60	thf(decl_80, type, ind: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_81, type, injective: $i > $i > $i > $o).
0.66/0.60	thf(decl_82, type, image: $i > $i > $i > $i > $o).
0.66/0.60	thf(decl_83, type, tofs: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_84, type, soft: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_85, type, inverse: $i > $i > $i > $i).
0.66/0.60	thf(decl_86, type, surjective: $i > $i > $i > $o).
0.66/0.60	thf(decl_87, type, bijective: $i > $i > $i > $o).
0.66/0.60	thf(decl_88, type, invf: $i > $i > $i > $i).
0.66/0.60	thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i).
0.66/0.60	thf(decl_91, type, out: $i > ($i > $o) > $i > $i).
0.66/0.60	thf(decl_92, type, d_pair: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_93, type, first: $i > $i > $i > $i).
0.66/0.60	thf(decl_94, type, second: $i > $i > $i > $i).
0.66/0.60	thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o).
0.66/0.60	thf(decl_96, type, ite: $o > $i > $i > $i > $i).
0.66/0.60	thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_99, type, wissel: $i > $i > $i > $i).
0.66/0.60	thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_101, type, r_ec: $o > $o > $o).
0.66/0.60	thf(decl_102, type, esti: $i > $i > $i > $o).
0.66/0.60	thf(decl_103, type, empty: $i > $i > $o).
0.66/0.60	thf(decl_104, type, nonempty: $i > $i > $o).
0.66/0.60	thf(decl_105, type, incl: $i > $i > $i > $o).
0.66/0.60	thf(decl_106, type, st_disj: $i > $i > $i > $o).
0.66/0.60	thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o).
0.66/0.60	thf(decl_108, type, unmore: $i > $i > $i > $i).
0.66/0.60	thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i).
0.66/0.60	thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
0.66/0.60	thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o).
0.66/0.60	thf(decl_112, type, ect: $i > ($i > $i > $o) > $i).
0.66/0.60	thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i).
0.66/0.60	thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i).
0.66/0.60	thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i).
0.66/0.60	thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
0.66/0.60	thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
0.66/0.60	thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
0.66/0.60	thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.66/0.60	thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
0.66/0.60	thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.66/0.60	thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_123, type, nat: $i).
0.66/0.60	thf(decl_124, type, n_is: $i > $i > $o).
0.66/0.60	thf(decl_125, type, nis: $i > $i > $o).
0.66/0.60	thf(decl_126, type, n_in: $i > $i > $o).
0.66/0.60	thf(decl_127, type, n_some: ($i > $o) > $o).
0.66/0.60	thf(decl_128, type, n_all: ($i > $o) > $o).
0.66/0.60	thf(decl_129, type, n_one: ($i > $o) > $o).
0.66/0.60	thf(decl_130, type, n_1: $i).
0.66/0.60	thf(decl_131, type, cond1: $i > $o).
0.66/0.60	thf(decl_132, type, cond2: $i > $o).
0.66/0.60	thf(decl_133, type, i1_s: ($i > $o) > $i).
0.66/0.60	thf(decl_134, type, d_22_prop1: $i > $o).
0.66/0.60	thf(decl_135, type, d_23_prop1: $i > $o).
0.66/0.60	thf(decl_136, type, d_24_prop1: $i > $o).
0.66/0.60	thf(decl_137, type, d_24_prop2: $i > $i > $o).
0.66/0.60	thf(decl_138, type, prop3: $i > $i > $i > $o).
0.66/0.60	thf(decl_139, type, prop4: $i > $o).
0.66/0.60	thf(decl_140, type, d_24_g: $i > $i).
0.66/0.60	thf(decl_141, type, plus: $i > $i).
0.66/0.60	thf(decl_142, type, n_pl: $i > $i > $i).
0.66/0.60	thf(decl_143, type, d_25_prop1: $i > $i > $i > $o).
0.66/0.60	thf(decl_144, type, d_26_prop1: $i > $i > $o).
0.66/0.60	thf(decl_145, type, d_27_prop1: $i > $i > $o).
0.66/0.60	thf(decl_146, type, d_28_prop1: $i > $i > $i > $o).
0.66/0.60	thf(decl_147, type, diffprop: $i > $i > $i > $o).
0.66/0.60	thf(decl_148, type, d_29_ii: $i > $i > $o).
0.66/0.60	thf(decl_149, type, iii: $i > $i > $o).
0.66/0.60	thf(decl_150, type, d_29_prop1: $i > $i > $o).
0.66/0.60	thf(decl_151, type, moreis: $i > $i > $o).
0.66/0.60	thf(decl_152, type, lessis: $i > $i > $o).
0.66/0.60	thf(decl_153, type, epred1_2: $i > $i > $o).
0.66/0.60	thf(decl_154, type, epred2_2: $i > $i > $o).
0.66/0.60	thf(decl_155, type, epred3_2: $i > $i > $o).
0.66/0.60	thf(decl_156, type, epred4_2: $i > $i > $o).
0.66/0.60	thf(decl_157, type, esk1_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_158, type, esk2_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_159, type, esk3_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_160, type, esk4_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_161, type, esk5_3: $i > $i > ($i > $i) > $i).
0.66/0.60	thf(decl_162, type, esk6_4: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_163, type, esk7_2: $i > $i > $i).
0.66/0.60	thf(decl_164, type, esk8_2: $i > $i > $i).
0.66/0.60	thf(decl_165, type, esk9_1: $i > $i).
0.66/0.60	thf(decl_166, type, esk10_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_167, type, esk11_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_168, type, esk12_3: $i > ($i > $o) > $i > $i).
0.66/0.60	thf(decl_169, type, esk13_1: ($i > $o) > $i).
0.66/0.60	thf(decl_170, type, esk14_1: ($i > $o) > $i).
0.66/0.60	thf(decl_171, type, esk15_2: $i > $i > $i).
0.66/0.60	thf(decl_172, type, esk16_3: $i > ($i > $i) > ($i > $i) > $i).
0.66/0.60	thf(decl_173, type, esk17_4: $i > ($i > $i) > $i > $i > $i).
0.66/0.60	thf(decl_174, type, esk18_2: $i > $i > $i).
0.66/0.60	thf(decl_175, type, esk19_3: $i > ($i > $i) > ($i > $i) > $i).
0.66/0.60	thf(decl_176, type, epred5_1: $i > $i > $o).
0.66/0.60	thf(decl_177, type, esk20_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_178, type, esk21_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_179, type, esk22_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_180, type, esk23_3: $i > ($i > $i) > $i > $i).
0.66/0.60	thf(decl_181, type, esk24_1: ($i > $o) > $i).
0.66/0.60	thf(decl_182, type, esk25_2: ($i > $o) > ($i > $o) > $i).
0.66/0.60	thf(decl_183, type, epred6_2: ($i > $o) > $i > $i > $o).
0.66/0.60	thf(decl_184, type, esk26_2: $i > $i > $i).
0.66/0.60	thf(decl_185, type, epred7_1: $i > $i > $o).
0.66/0.60	thf(decl_186, type, esk27_1: $i > $i).
0.66/0.60	thf(decl_187, type, esk28_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_188, type, epred8_1: $i > $i > $o).
0.66/0.60	thf(decl_189, type, esk29_2: $i > $i > $i).
0.66/0.60	thf(decl_190, type, esk30_2: $i > $i > $i).
0.66/0.60	thf(decl_191, type, esk31_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_192, type, esk32_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_193, type, esk33_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_194, type, esk34_2: $i > $i > $i).
0.66/0.60	thf(decl_195, type, esk35_2: $i > $i > $i).
0.66/0.60	thf(decl_196, type, esk36_1: $i > $i).
0.66/0.60	thf(decl_197, type, esk37_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_198, type, esk38_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_199, type, esk39_2: $i > $i > $i).
0.66/0.60	thf(decl_200, type, esk40_2: $i > $i > $i).
0.66/0.60	thf(decl_201, type, esk41_2: $i > $i > $i).
0.66/0.60	thf(decl_202, type, esk42_2: $i > $i > $i).
0.66/0.60	thf(decl_203, type, esk43_2: $i > $i > $i).
0.66/0.60	thf(decl_204, type, esk44_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_205, type, esk45_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_206, type, esk46_1: $i > $i).
0.66/0.60	thf(decl_207, type, esk47_2: $i > $i > $i).
0.66/0.60	thf(decl_208, type, esk48_0: $i).
0.66/0.60	thf(decl_209, type, esk49_0: $i).
0.66/0.60	thf(decl_210, type, esk50_2: $i > $i > $i).
0.66/0.60	thf(decl_211, type, esk51_2: $i > $i > $i).
0.66/0.60	thf(decl_212, type, esk52_2: $i > $i > $i).
0.66/0.60	thf(decl_213, type, esk53_2: $i > $i > $i).
0.66/0.60	thf(decl_214, type, esk54_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_215, type, esk55_2: $i > $i > $i).
0.66/0.60	thf(decl_216, type, esk56_2: $i > $i > $i).
0.66/0.60	thf(decl_217, type, esk57_1: $i > $i).
0.66/0.60	thf(decl_218, type, esk58_2: $i > $i > $i).
0.66/0.60	thf(decl_219, type, esk59_2: $i > $i > $i).
0.66/0.60	thf(decl_220, type, esk60_2: $i > $i > $i).
0.66/0.60	thf(decl_221, type, esk61_2: $i > $i > $i).
0.66/0.60	thf(decl_222, type, epred9_3: $i > $o > $i > $i > $o).
0.66/0.60	thf(decl_223, type, esk62_2: $i > $i > $i > $i).
0.66/0.60	thf(decl_224, type, epred10_2: ($i > $o) > $i > $i > $o).
0.66/0.60	thf(decl_225, type, esk63_2: $i > ($i > $o) > $i > $i).
0.66/0.60	thf(decl_226, type, epred11_1: $i > $i > $o).
0.66/0.60	thf(decl_227, type, epred12_2: $i > ($i > ($i > $i) > $i) > $i > $o).
0.66/0.60	thf(decl_228, type, epred13_0: $i > $o).
0.66/0.60	thf(decl_229, type, esk64_0: $i > ($i > $i) > $i).
0.66/0.60	thf(decl_230, type, esk65_0: $i > ($i > $i) > $i).
0.66/0.60	thf(decl_231, type, epred14_0: $i > $o).
0.66/0.60	thf(decl_232, type, epred15_0: $i > $o).
0.66/0.60	thf(decl_233, type, esk66_1: ($i > $i) > $i > $i).
0.66/0.60	thf(decl_234, type, esk67_1: $i > $i > $i).
0.66/0.60	thf(decl_235, type, epred16_1: $i > $i > $o).
0.66/0.60	thf(decl_236, type, esk68_1: ($i > $i) > $i > $i).
0.66/0.60	thf(decl_237, type, epred17_2: ($i > $i) > $i > $i > $o).
0.66/0.60	thf(decl_238, type, epred18_2: $i > $i > $i > $o).
0.66/0.60	thf(decl_239, type, esk69_3: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_240, type, esk70_2: $i > $i > $i > $i).
0.66/0.60	thf(decl_241, type, epred19_3: $i > $o > $i > $i > $o).
0.66/0.60	thf(decl_242, type, epred20_2: $i > $i > $i > $o).
0.66/0.60	thf(decl_243, type, epred21_2: ($i > $i > $o) > $i > $i > $o).
0.66/0.60	thf(decl_244, type, epred22_4: $i > $i > ($i > $i > $o) > $i > $i > $o).
0.66/0.60	thf(decl_245, type, epred23_0: $i > $o).
0.66/0.60	thf(decl_246, type, esk71_1: $i > $i > $i).
0.66/0.60	thf(decl_247, type, epred24_1: $i > $i > $o).
0.66/0.60	thf(decl_248, type, esk72_4: $i > ($i > ($i > $i) > $i) > $i > ($i > $i > $o) > $i).
0.66/0.60	thf(decl_249, type, esk73_4: $i > ($i > ($i > $i) > $i) > $i > ($i > $i > $o) > $i > $i).
0.66/0.60	thf(decl_250, type, epred25_3: $i > ($i > ($i > $i) > $i) > $i > $i > $i > $o).
0.66/0.60	thf(decl_251, type, esk74_5: $i > ($i > ($i > $i) > $i) > $i > $i > ($i > $i) > $i).
0.66/0.60	thf(decl_252, type, esk75_2: $i > ($i > $o) > $i).
0.66/0.60	thf(decl_253, type, epred26_1: $i > $i > $o).
0.66/0.60	thf(decl_254, type, esk76_1: $i > $i).
0.66/0.60	thf(decl_255, type, esk77_1: $i > $i).
0.66/0.60	thf(decl_256, type, esk78_2: $i > $i > $i).
0.66/0.60	thf(decl_257, type, esk79_3: $i > $i > ($i > $i) > $i).
0.66/0.60	thf(decl_258, type, esk80_4: $i > $i > $i > $i > $i).
0.66/0.60	thf(decl_259, type, esk81_3: $i > $i > $i > $i).
0.66/0.60	thf(decl_260, type, esk82_3: $i > $i > ($i > $i > $o) > $i).
0.66/0.60	thf(decl_261, type, esk83_5: $i > $i > ($i > $i > $o) > $i > $i > $i).
0.66/0.60	thf(decl_262, type, esk84_2: $i > $i > $i).
0.66/0.60	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_not)).
0.66/0.60	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_imp)).
0.66/0.60	thf(def_all_of, axiom, ((all_of)=(^[X3:$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)).
0.66/0.60	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)).
0.66/0.60	thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_non)).
0.66/0.60	thf(def_l_some, axiom, ((l_some)=(^[X1:$i, X2:$i > $o]:((d_not @ ((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (non @ X1 @ X2))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_some)).
0.66/0.60	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)).
0.66/0.60	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_diffprop)).
0.66/0.60	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)).
0.66/0.60	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_d_29_ii)).
0.66/0.60	thf(def_n_some, axiom, ((n_some)=(^[Z0:$i > $o]:((((((![X437:$i]:(((((in @ X437 @ nat)))=>((((((Z0 @ X437)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)).
0.66/0.60	thf(satz18, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X242:$i]:((in @ X242 @ nat))) @ (^[X243:$i]:((d_29_ii @ (n_pl @ X1 @ X243) @ X1))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz18)).
0.66/0.60	thf(c_0_12, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.66/0.60	thf(c_0_13, plain, ((imp)=(^[Z0:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.66/0.60	thf(c_0_14, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.66/0.60	thf(c_0_15, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.66/0.60	thf(c_0_16, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])).
0.66/0.60	thf(c_0_17, plain, ((d_not)=(^[Z0:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_12, c_0_13])).
0.66/0.60	thf(c_0_18, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:((((((![X410:$i]:(((((in @ X410 @ Z0)))=>((((((Z1 @ X410)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
0.66/0.60	thf(c_0_19, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])).
0.66/0.60	thf(c_0_20, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])).
0.66/0.60	thf(c_0_21, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.66/0.60	thf(c_0_22, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:((((((![X410:$i]:(((((in @ X410 @ Z0)))=>((((((Z1 @ X410)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_19]), c_0_17]), c_0_20])).
0.66/0.60	thf(c_0_23, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
0.66/0.60	thf(c_0_24, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_21])).
0.66/0.60	thf(c_0_25, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((((((![X448:$i]:(((((in @ X448 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X448))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.66/0.60	thf(c_0_26, axiom, ((n_some)=(^[Z0:$i > $o]:((((((![X437:$i]:(((((in @ X437 @ nat)))=>((((((Z0 @ X437)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_22])).
0.66/0.60	thf(c_0_27, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])).
0.66/0.60	thf(c_0_28, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((((((![X448:$i]:(((((in @ X448 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X448))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25, c_0_26]), c_0_27])).
0.66/0.60	thf(c_0_29, negated_conjecture, ~(![X645:$i]:(((in @ X645 @ nat)=>![X644:$i]:(((in @ X644 @ nat)=>~(![X643:$i]:(((in @ X643 @ nat)=>((n_pl @ X645 @ X644)!=(n_pl @ X645 @ X643)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz18])]), c_0_19]), c_0_28])])).
0.66/0.60	thf(c_0_30, negated_conjecture, ![X1245:$i]:(((in @ esk48_0 @ nat)&((in @ esk49_0 @ nat)&(~(in @ X1245 @ nat)|((n_pl @ esk48_0 @ esk49_0)!=(n_pl @ esk48_0 @ X1245)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])).
0.66/0.60	thf(c_0_31, negated_conjecture, ![X1:$i]:((~((in @ X1 @ nat))|((n_pl @ esk48_0 @ esk49_0)!=(n_pl @ esk48_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
0.66/0.60	thf(c_0_32, negated_conjecture, (in @ esk49_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_30])).
0.66/0.60	thf(c_0_33, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_31]), c_0_32])]), ['proof']).
0.66/0.60	# SZS output end CNFRefutation
0.66/0.60	# Parsed axioms                        : 365
0.66/0.60	# Removed by relevancy pruning/SinE    : 0
0.66/0.60	# Initial clauses                      : 532
0.66/0.60	# Removed in clause preprocessing      : 158
0.66/0.60	# Initial clauses in saturation        : 374
0.66/0.60	# Processed clauses                    : 49
0.66/0.60	# ...of these trivial                  : 2
0.66/0.60	# ...subsumed                          : 1
0.66/0.60	# ...remaining for further processing  : 46
0.66/0.60	# Other redundant clauses eliminated   : 0
0.66/0.60	# Clauses deleted for lack of memory   : 0
0.66/0.60	# Backward-subsumed                    : 0
0.66/0.60	# Backward-rewritten                   : 0
0.66/0.60	# Generated clauses                    : 24
0.66/0.60	# ...of the previous two non-redundant : 19
0.66/0.60	# ...aggressively subsumed             : 0
0.66/0.60	# Contextual simplify-reflections      : 0
0.66/0.60	# Paramodulations                      : 10
0.66/0.60	# Factorizations                       : 0
0.66/0.60	# NegExts                              : 0
0.66/0.60	# Equation resolutions                 : 4
0.66/0.60	# Propositional unsat checks           : 0
0.66/0.60	#    Propositional check models        : 0
0.66/0.60	#    Propositional check unsatisfiable : 0
0.66/0.60	#    Propositional clauses             : 0
0.66/0.60	#    Propositional clauses after purity: 0
0.66/0.60	#    Propositional unsat core size     : 0
0.66/0.60	#    Propositional preprocessing time  : 0.000
0.66/0.60	#    Propositional encoding time       : 0.000
0.66/0.60	#    Propositional solver time         : 0.000
0.66/0.60	#    Success case prop preproc time    : 0.000
0.66/0.60	#    Success case prop encoding time   : 0.000
0.66/0.60	#    Success case prop solver time     : 0.000
0.66/0.60	# Current number of processed clauses  : 46
0.66/0.60	#    Positive orientable unit clauses  : 27
0.66/0.60	#    Positive unorientable unit clauses: 0
0.66/0.60	#    Negative unit clauses             : 4
0.66/0.60	#    Non-unit-clauses                  : 15
0.66/0.60	# Current number of unprocessed clauses: 344
0.66/0.60	# ...number of literals in the above   : 1199
0.66/0.60	# Current number of archived formulas  : 0
0.66/0.60	# Current number of archived clauses   : 0
0.66/0.60	# Clause-clause subsumption calls (NU) : 41
0.66/0.60	# Rec. Clause-clause subsumption calls : 38
0.66/0.60	# Non-unit clause-clause subsumptions  : 0
0.66/0.60	# Unit Clause-clause subsumption calls : 35
0.66/0.60	# Rewrite failures with RHS unbound    : 0
0.66/0.60	# BW rewrite match attempts            : 1
0.66/0.60	# BW rewrite match successes           : 0
0.66/0.60	# Condensation attempts                : 49
0.66/0.60	# Condensation successes               : 0
0.66/0.60	# Termbank termtop insertions          : 56178
0.66/0.60	
0.66/0.60	# -------------------------------------------------
0.66/0.60	# User time                : 0.045 s
0.66/0.60	# System time              : 0.018 s
0.66/0.60	# Total time               : 0.063 s
0.66/0.60	# Maximum resident set size: 6380 pages
0.66/0.60	
0.66/0.60	# -------------------------------------------------
0.66/0.60	# User time                : 0.096 s
0.66/0.60	# System time              : 0.031 s
0.66/0.60	# Total time               : 0.127 s
0.66/0.60	# Maximum resident set size: 2284 pages
0.66/0.60	EOF