0.09/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.11	% Command    : run_E %s %d THM
0.11/0.31	% Computer : n009.cluster.edu
0.11/0.31	% Model    : x86_64 x86_64
0.11/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.31	% Memory   : 8042.1875MB
0.11/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.31	% CPULimit   : 960
0.11/0.31	% WCLimit    : 120
0.11/0.31	% DateTime   : Tue Aug  9 06:13:05 EDT 2022
0.11/0.32	% CPUTime    : 
0.16/0.43	Running higher-order on 8 cores theorem proving
0.16/0.44	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
0.16/0.44	# Version: 3.0pre003-ho
31.73/5.17	# Preprocessing class: HSLSSMSSMLLNHSN.
31.73/5.17	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
31.73/5.17	# Starting almost_fo_3 with 600s (5) cores
31.73/5.17	# Starting sh10 with 120s (1) cores
31.73/5.17	# Starting new_ho_16 with 120s (1) cores
31.73/5.17	# Starting post_as_ho11 with 120s (1) cores
31.73/5.17	# new_ho_16 with pid 8312 completed with status 8
31.73/5.17	# post_as_ho11 with pid 8313 completed with status 0
31.73/5.17	# Result found by post_as_ho11
31.73/5.17	# Preprocessing class: HSLSSMSSMLLNHSN.
31.73/5.17	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
31.73/5.17	# Starting almost_fo_3 with 600s (5) cores
31.73/5.17	# Starting sh10 with 120s (1) cores
31.73/5.17	# Starting new_ho_16 with 120s (1) cores
31.73/5.17	# Starting post_as_ho11 with 120s (1) cores
31.73/5.17	# No SInE strategy applied
31.73/5.17	# Search class: HGUNM-FSLF32-MHSSMFNN
31.73/5.17	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
31.73/5.17	# Starting almost_fo_3 with 24s (1) cores
31.73/5.17	# almost_fo_3 with pid 8332 completed with status 0
31.73/5.17	# Result found by almost_fo_3
31.73/5.17	# Preprocessing class: HSLSSMSSMLLNHSN.
31.73/5.17	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
31.73/5.17	# Starting almost_fo_3 with 600s (5) cores
31.73/5.17	# Starting sh10 with 120s (1) cores
31.73/5.17	# Starting new_ho_16 with 120s (1) cores
31.73/5.17	# Starting post_as_ho11 with 120s (1) cores
31.73/5.17	# No SInE strategy applied
31.73/5.17	# Search class: HGUNM-FSLF32-MHSSMFNN
31.73/5.17	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
31.73/5.17	# Starting almost_fo_3 with 24s (1) cores
31.73/5.17	# Preprocessing time       : 0.007 s
31.73/5.17	# Presaturation interreduction done
31.73/5.17	
31.73/5.17	# Proof found!
31.73/5.17	# SZS status Theorem
31.73/5.17	# SZS output start CNFRefutation
31.73/5.17	thf(decl_22, type, qmltpeq: mu > mu > $i > $o).
31.73/5.17	thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_24, type, mnot: ($i > $o) > $i > $o).
31.73/5.17	thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_26, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_27, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
31.73/5.17	thf(decl_28, type, mtrue: $i > $o).
31.73/5.17	thf(decl_29, type, mfalse: $i > $o).
31.73/5.17	thf(decl_30, type, mand: ($i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_31, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_32, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_33, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_34, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_35, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
31.73/5.17	thf(decl_36, type, exists_in_world: mu > $i > $o).
31.73/5.17	thf(decl_37, type, mforall_ind: (mu > $i > $o) > $i > $o).
31.73/5.17	thf(decl_38, type, mexists_ind: (mu > $i > $o) > $i > $o).
31.73/5.17	thf(decl_39, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
31.73/5.17	thf(decl_40, type, mreflexive: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_41, type, msymmetric: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_42, type, mserial: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_43, type, mtransitive: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_44, type, meuclidean: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_45, type, mpartially_functional: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_46, type, mfunctional: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_47, type, mweakly_dense: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_48, type, mweakly_connected: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_49, type, mweakly_directed: ($i > $i > $o) > $o).
31.73/5.17	thf(decl_50, type, mvalid: ($i > $o) > $o).
31.73/5.17	thf(decl_51, type, msatisfiable: ($i > $o) > $o).
31.73/5.17	thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o).
31.73/5.17	thf(decl_53, type, minvalid: ($i > $o) > $o).
31.73/5.17	thf(decl_54, type, rel_s4: $i > $i > $o).
31.73/5.17	thf(decl_55, type, mbox_s4: ($i > $o) > $i > $o).
31.73/5.17	thf(decl_56, type, mdia_s4: ($i > $o) > $i > $o).
31.73/5.17	thf(decl_57, type, kn1: $i > $o).
31.73/5.17	thf(decl_58, type, kn3: $i > $o).
31.73/5.17	thf(decl_59, type, cn1: $i > $o).
31.73/5.17	thf(decl_60, type, cn2: $i > $o).
31.73/5.17	thf(decl_61, type, cn3: $i > $o).
31.73/5.17	thf(decl_62, type, r1: $i > $o).
31.73/5.17	thf(decl_63, type, r2: $i > $o).
31.73/5.17	thf(decl_64, type, r3: $i > $o).
31.73/5.17	thf(decl_65, type, r4: $i > $o).
31.73/5.17	thf(decl_66, type, r5: $i > $o).
31.73/5.17	thf(decl_67, type, op_and: $i > $o).
31.73/5.17	thf(decl_68, type, op_implies_or: $i > $o).
31.73/5.17	thf(decl_69, type, modus_ponens: $i > $o).
31.73/5.17	thf(decl_70, type, modus_tollens: $i > $o).
31.73/5.17	thf(decl_71, type, implies_1: $i > $o).
31.73/5.17	thf(decl_72, type, implies_2: $i > $o).
31.73/5.17	thf(decl_73, type, implies_3: $i > $o).
31.73/5.17	thf(decl_74, type, and_1: $i > $o).
31.73/5.17	thf(decl_75, type, and_2: $i > $o).
31.73/5.17	thf(decl_76, type, and_3: $i > $o).
31.73/5.17	thf(decl_77, type, or_1: $i > $o).
31.73/5.17	thf(decl_78, type, or_2: $i > $o).
31.73/5.17	thf(decl_79, type, or_3: $i > $o).
31.73/5.17	thf(decl_80, type, equivalence_1: $i > $o).
31.73/5.17	thf(decl_81, type, equivalence_2: $i > $o).
31.73/5.17	thf(decl_82, type, equivalence_3: $i > $o).
31.73/5.17	thf(decl_83, type, substitution_of_equivalents: $i > $o).
31.73/5.17	thf(decl_84, type, op_or: $i > $o).
31.73/5.17	thf(decl_85, type, op_implies_and: $i > $o).
31.73/5.17	thf(decl_86, type, op_equiv: $i > $o).
31.73/5.17	thf(decl_87, type, kn2: $i > $o).
31.73/5.17	thf(decl_88, type, is_a_theorem: mu > $i > $o).
31.73/5.17	thf(decl_89, type, not: mu > mu).
31.73/5.17	thf(decl_90, type, or: mu > mu > mu).
31.73/5.17	thf(decl_91, type, implies: mu > mu > mu).
31.73/5.17	thf(decl_92, type, and: mu > mu > mu).
31.73/5.17	thf(decl_93, type, equiv: mu > mu > mu).
31.73/5.17	thf(decl_94, type, esk1_1: $i > mu).
31.73/5.17	thf(decl_95, type, esk2_2: $i > $i > $i).
31.73/5.17	thf(decl_96, type, esk3_2: $i > $i > $i).
31.73/5.17	thf(decl_97, type, esk4_2: $i > $i > mu).
31.73/5.17	thf(decl_98, type, esk5_2: $i > $i > $i).
31.73/5.17	thf(decl_99, type, esk6_2: $i > $i > mu).
31.73/5.17	thf(decl_100, type, esk7_2: $i > $i > $i).
31.73/5.17	thf(decl_101, type, esk8_0: $i).
31.73/5.17	thf(decl_102, type, esk9_0: $i).
31.73/5.17	thf(decl_103, type, esk10_2: $i > $i > $i).
31.73/5.17	thf(decl_104, type, esk11_2: $i > $i > $i).
31.73/5.17	thf(decl_105, type, esk12_2: $i > $i > mu).
31.73/5.17	thf(decl_106, type, esk13_2: $i > $i > $i).
31.73/5.17	thf(decl_107, type, esk14_6: $i > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_108, type, esk15_2: $i > $i > $i).
31.73/5.17	thf(decl_109, type, esk16_2: $i > $i > $i).
31.73/5.17	thf(decl_110, type, esk17_2: $i > $i > mu).
31.73/5.17	thf(decl_111, type, esk18_2: $i > $i > $i).
31.73/5.17	thf(decl_112, type, esk19_2: $i > $i > mu).
31.73/5.17	thf(decl_113, type, esk20_2: $i > $i > $i).
31.73/5.17	thf(decl_114, type, esk21_2: $i > $i > mu).
31.73/5.17	thf(decl_115, type, esk22_2: $i > $i > $i).
31.73/5.17	thf(decl_116, type, esk23_2: $i > $i > $i).
31.73/5.17	thf(decl_117, type, esk24_2: $i > $i > $i).
31.73/5.17	thf(decl_118, type, esk25_2: $i > $i > mu).
31.73/5.17	thf(decl_119, type, esk26_2: $i > $i > $i).
31.73/5.17	thf(decl_120, type, esk27_2: $i > $i > mu).
31.73/5.17	thf(decl_121, type, esk28_2: $i > $i > $i).
31.73/5.17	thf(decl_122, type, esk29_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_123, type, esk30_2: $i > $i > $i).
31.73/5.17	thf(decl_124, type, esk31_2: $i > $i > $i).
31.73/5.17	thf(decl_125, type, esk32_7: $i > $i > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_126, type, esk33_7: $i > $i > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_127, type, esk34_2: $i > $i > $i).
31.73/5.17	thf(decl_128, type, esk35_2: $i > $i > mu).
31.73/5.17	thf(decl_129, type, esk36_2: $i > $i > $i).
31.73/5.17	thf(decl_130, type, esk37_2: $i > $i > mu).
31.73/5.17	thf(decl_131, type, esk38_2: $i > $i > $i).
31.73/5.17	thf(decl_132, type, esk39_2: $i > $i > $i).
31.73/5.17	thf(decl_133, type, esk40_2: $i > $i > $i).
31.73/5.17	thf(decl_134, type, esk41_2: $i > $i > $i).
31.73/5.17	thf(decl_135, type, esk42_7: $i > $i > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_136, type, esk43_2: $i > $i > $i).
31.73/5.17	thf(decl_137, type, esk44_2: $i > $i > mu).
31.73/5.17	thf(decl_138, type, esk45_2: $i > $i > $i).
31.73/5.17	thf(decl_139, type, esk46_2: $i > $i > mu).
31.73/5.17	thf(decl_140, type, esk47_2: $i > $i > $i).
31.73/5.17	thf(decl_141, type, esk48_2: $i > $i > $i).
31.73/5.17	thf(decl_142, type, esk49_2: $i > $i > $i).
31.73/5.17	thf(decl_143, type, esk50_2: $i > $i > $i).
31.73/5.17	thf(decl_144, type, esk51_2: $i > $i > $i).
31.73/5.17	thf(decl_145, type, esk52_2: $i > $i > mu).
31.73/5.17	thf(decl_146, type, esk53_2: $i > $i > $i).
31.73/5.17	thf(decl_147, type, esk54_2: $i > $i > $i).
31.73/5.17	thf(decl_148, type, esk55_2: $i > $i > $i).
31.73/5.17	thf(decl_149, type, esk56_2: $i > $i > mu).
31.73/5.17	thf(decl_150, type, esk57_2: $i > $i > $i).
31.73/5.17	thf(decl_151, type, esk58_2: $i > $i > mu).
31.73/5.17	thf(decl_152, type, esk59_2: $i > $i > $i).
31.73/5.17	thf(decl_153, type, esk60_2: $i > $i > mu).
31.73/5.17	thf(decl_154, type, esk61_2: $i > $i > $i).
31.73/5.17	thf(decl_155, type, esk62_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_156, type, esk63_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_157, type, esk64_2: $i > $i > $i).
31.73/5.17	thf(decl_158, type, esk65_2: $i > $i > $i).
31.73/5.17	thf(decl_159, type, esk66_2: $i > $i > mu).
31.73/5.17	thf(decl_160, type, esk67_2: $i > $i > $i).
31.73/5.17	thf(decl_161, type, esk68_2: $i > $i > mu).
31.73/5.17	thf(decl_162, type, esk69_2: $i > $i > $i).
31.73/5.17	thf(decl_163, type, esk70_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_164, type, esk71_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_165, type, esk72_2: $i > $i > $i).
31.73/5.17	thf(decl_166, type, esk73_2: $i > $i > $i).
31.73/5.17	thf(decl_167, type, esk74_2: $i > $i > mu).
31.73/5.17	thf(decl_168, type, esk75_2: $i > $i > $i).
31.73/5.17	thf(decl_169, type, esk76_2: $i > $i > mu).
31.73/5.17	thf(decl_170, type, esk77_2: $i > $i > $i).
31.73/5.17	thf(decl_171, type, esk78_2: $i > $i > $i).
31.73/5.17	thf(decl_172, type, esk79_2: $i > $i > $i).
31.73/5.17	thf(decl_173, type, esk80_2: $i > $i > mu).
31.73/5.17	thf(decl_174, type, esk81_2: $i > $i > $i).
31.73/5.17	thf(decl_175, type, esk82_2: $i > $i > mu).
31.73/5.17	thf(decl_176, type, esk83_2: $i > $i > $i).
31.73/5.17	thf(decl_177, type, esk84_2: $i > $i > $i).
31.73/5.17	thf(decl_178, type, esk85_2: $i > $i > $i).
31.73/5.17	thf(decl_179, type, esk86_2: $i > $i > mu).
31.73/5.17	thf(decl_180, type, esk87_2: $i > $i > $i).
31.73/5.17	thf(decl_181, type, esk88_2: $i > $i > mu).
31.73/5.17	thf(decl_182, type, esk89_2: $i > $i > $i).
31.73/5.17	thf(decl_183, type, esk90_2: $i > $i > $i).
31.73/5.17	thf(decl_184, type, esk91_2: $i > $i > $i).
31.73/5.17	thf(decl_185, type, esk92_2: $i > $i > mu).
31.73/5.17	thf(decl_186, type, esk93_2: $i > $i > $i).
31.73/5.17	thf(decl_187, type, esk94_2: $i > $i > mu).
31.73/5.17	thf(decl_188, type, esk95_2: $i > $i > $i).
31.73/5.17	thf(decl_189, type, esk96_2: $i > $i > $i).
31.73/5.17	thf(decl_190, type, esk97_2: $i > $i > $i).
31.73/5.17	thf(decl_191, type, esk98_2: $i > $i > mu).
31.73/5.17	thf(decl_192, type, esk99_2: $i > $i > $i).
31.73/5.17	thf(decl_193, type, esk100_2: $i > $i > mu).
31.73/5.17	thf(decl_194, type, esk101_2: $i > $i > $i).
31.73/5.17	thf(decl_195, type, esk102_2: $i > $i > $i).
31.73/5.17	thf(decl_196, type, esk103_2: $i > $i > $i).
31.73/5.17	thf(decl_197, type, esk104_2: $i > $i > mu).
31.73/5.17	thf(decl_198, type, esk105_2: $i > $i > $i).
31.73/5.17	thf(decl_199, type, esk106_2: $i > $i > mu).
31.73/5.17	thf(decl_200, type, esk107_2: $i > $i > $i).
31.73/5.17	thf(decl_201, type, esk108_2: $i > $i > $i).
31.73/5.17	thf(decl_202, type, esk109_2: $i > $i > $i).
31.73/5.17	thf(decl_203, type, esk110_2: $i > $i > mu).
31.73/5.17	thf(decl_204, type, esk111_2: $i > $i > $i).
31.73/5.17	thf(decl_205, type, esk112_2: $i > $i > mu).
31.73/5.17	thf(decl_206, type, esk113_2: $i > $i > $i).
31.73/5.17	thf(decl_207, type, esk114_6: $i > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_208, type, esk115_2: $i > $i > $i).
31.73/5.17	thf(decl_209, type, esk116_2: $i > $i > $i).
31.73/5.17	thf(decl_210, type, esk117_2: $i > $i > mu).
31.73/5.17	thf(decl_211, type, esk118_2: $i > $i > $i).
31.73/5.17	thf(decl_212, type, esk119_2: $i > $i > mu).
31.73/5.17	thf(decl_213, type, esk120_2: $i > $i > $i).
31.73/5.17	thf(decl_214, type, esk121_2: $i > $i > $i).
31.73/5.17	thf(decl_215, type, esk122_2: $i > $i > $i).
31.73/5.17	thf(decl_216, type, esk123_2: $i > $i > mu).
31.73/5.17	thf(decl_217, type, esk124_2: $i > $i > $i).
31.73/5.17	thf(decl_218, type, esk125_2: $i > $i > mu).
31.73/5.17	thf(decl_219, type, esk126_2: $i > $i > $i).
31.73/5.17	thf(decl_220, type, esk127_2: $i > $i > $i).
31.73/5.17	thf(decl_221, type, esk128_2: $i > $i > $i).
31.73/5.17	thf(decl_222, type, esk129_2: $i > $i > mu).
31.73/5.17	thf(decl_223, type, esk130_2: $i > $i > $i).
31.73/5.17	thf(decl_224, type, esk131_2: $i > $i > mu).
31.73/5.17	thf(decl_225, type, esk132_2: $i > $i > $i).
31.73/5.17	thf(decl_226, type, esk133_2: $i > $i > mu).
31.73/5.17	thf(decl_227, type, esk134_2: $i > $i > $i).
31.73/5.17	thf(decl_228, type, esk135_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_229, type, esk136_2: $i > $i > $i).
31.73/5.17	thf(decl_230, type, esk137_2: $i > $i > $i).
31.73/5.17	thf(decl_231, type, esk138_2: $i > $i > mu).
31.73/5.17	thf(decl_232, type, esk139_2: $i > $i > $i).
31.73/5.17	thf(decl_233, type, esk140_2: $i > $i > mu).
31.73/5.17	thf(decl_234, type, esk141_2: $i > $i > $i).
31.73/5.17	thf(decl_235, type, esk142_2: $i > $i > mu).
31.73/5.17	thf(decl_236, type, esk143_2: $i > $i > $i).
31.73/5.17	thf(decl_237, type, esk144_2: $i > $i > $i).
31.73/5.17	thf(decl_238, type, esk145_2: $i > $i > $i).
31.73/5.17	thf(decl_239, type, esk146_2: $i > $i > mu).
31.73/5.17	thf(decl_240, type, esk147_2: $i > $i > $i).
31.73/5.17	thf(decl_241, type, esk148_2: $i > $i > $i).
31.73/5.17	thf(decl_242, type, esk149_6: $i > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_243, type, esk150_6: $i > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_244, type, esk151_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_245, type, esk152_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_246, type, esk153_2: $i > $i > $i).
31.73/5.17	thf(decl_247, type, esk154_2: $i > $i > $i).
31.73/5.17	thf(decl_248, type, esk155_2: $i > $i > $i).
31.73/5.17	thf(decl_249, type, esk156_2: $i > $i > mu).
31.73/5.17	thf(decl_250, type, esk157_2: $i > $i > $i).
31.73/5.17	thf(decl_251, type, esk158_2: $i > $i > mu).
31.73/5.17	thf(decl_252, type, esk159_2: $i > $i > $i).
31.73/5.17	thf(decl_253, type, esk160_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(decl_254, type, esk161_2: $i > $i > $i).
31.73/5.17	thf(decl_255, type, esk162_2: $i > $i > $i).
31.73/5.17	thf(decl_256, type, esk163_2: $i > $i > mu).
31.73/5.17	thf(decl_257, type, esk164_2: $i > $i > $i).
31.73/5.17	thf(decl_258, type, esk165_2: $i > $i > mu).
31.73/5.17	thf(decl_259, type, esk166_2: $i > $i > $i).
31.73/5.17	thf(decl_260, type, esk167_2: $i > $i > mu).
31.73/5.17	thf(decl_261, type, esk168_2: $i > $i > $i).
31.73/5.17	thf(decl_262, type, esk169_2: $i > $i > $i).
31.73/5.17	thf(decl_263, type, esk170_2: $i > $i > $i).
31.73/5.17	thf(decl_264, type, esk171_2: $i > $i > mu).
31.73/5.17	thf(decl_265, type, esk172_2: $i > $i > $i).
31.73/5.17	thf(decl_266, type, esk173_2: $i > $i > mu).
31.73/5.17	thf(decl_267, type, esk174_2: $i > $i > $i).
31.73/5.17	thf(decl_268, type, esk175_2: $i > $i > mu).
31.73/5.17	thf(decl_269, type, esk176_2: $i > $i > $i).
31.73/5.17	thf(decl_270, type, esk177_2: $i > $i > $i).
31.73/5.17	thf(decl_271, type, esk178_2: $i > $i > $i).
31.73/5.17	thf(decl_272, type, esk179_2: $i > $i > mu).
31.73/5.17	thf(decl_273, type, esk180_2: $i > $i > $i).
31.73/5.17	thf(decl_274, type, esk181_2: $i > $i > mu).
31.73/5.17	thf(decl_275, type, esk182_2: $i > $i > $i).
31.73/5.17	thf(decl_276, type, esk183_2: $i > $i > $i).
31.73/5.17	thf(decl_277, type, esk184_2: $i > $i > $i).
31.73/5.17	thf(decl_278, type, esk185_2: $i > $i > mu).
31.73/5.17	thf(decl_279, type, esk186_2: $i > $i > $i).
31.73/5.17	thf(decl_280, type, esk187_2: $i > $i > mu).
31.73/5.17	thf(decl_281, type, esk188_2: $i > $i > $i).
31.73/5.17	thf(decl_282, type, esk189_8: $i > $i > mu > $i > mu > $i > mu > $i > $i).
31.73/5.17	thf(mand, axiom, ((mand)=(^[X4:$i > $o, X5:$i > $o]:(mnot @ (mor @ (mnot @ X4) @ (mnot @ X5))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mand)).
31.73/5.17	thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X3:$i]:(~((X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mnot)).
31.73/5.17	thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mor)).
31.73/5.17	thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mimplies)).
31.73/5.17	thf(mvalid, axiom, ((mvalid)=(^[X4:$i > $o]:(![X3:$i]:((X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mvalid)).
31.73/5.17	thf(mbox_s4, axiom, ((mbox_s4)=(^[X4:$i > $o, X3:$i]:(![X7:$i]:((~((rel_s4 @ X3 @ X7))|(X4 @ X7)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^5.ax', mbox_s4)).
31.73/5.17	thf(mforall_ind, axiom, ((mforall_ind)=(^[X10:mu > $i > $o, X3:$i]:(![X11:mu]:(((exists_in_world @ X11 @ X3)=>(X10 @ X11 @ X3)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mforall_ind)).
31.73/5.17	thf(mreflexive, axiom, ((mreflexive)=(^[X6:$i > $i > $o]:(![X15:$i]:((X6 @ X15 @ X15))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mreflexive)).
31.73/5.17	thf(rosser_kn2, conjecture, (mvalid @ (mbox_s4 @ kn2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rosser_kn2)).
31.73/5.17	thf(kn2, axiom, (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ kn2) @ (mbox_s4 @ (mforall_ind @ (^[X20:mu]:(mbox_s4 @ (mforall_ind @ (^[X21:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X20 @ X21) @ X20))))))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X22:mu]:(mbox_s4 @ (mforall_ind @ (^[X21:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X22 @ X21) @ X22))))))))) @ (mbox_s4 @ kn2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', kn2)).
31.73/5.17	thf(and_1, axiom, (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ and_1) @ (mbox_s4 @ (mforall_ind @ (^[X79:mu]:(mbox_s4 @ (mforall_ind @ (^[X80:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X79 @ X80) @ X79))))))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X81:mu]:(mbox_s4 @ (mforall_ind @ (^[X82:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X81 @ X82) @ X81))))))))) @ (mbox_s4 @ and_1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', and_1)).
31.73/5.17	thf(hilbert_and_1, axiom, (mvalid @ (mbox_s4 @ and_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', hilbert_and_1)).
31.73/5.17	thf(a1, axiom, (mreflexive @ rel_s4), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^5.ax', a1)).
31.73/5.17	thf(cumulative_ax, axiom, ![X19:mu, X7:$i, X3:$i]:(((exists_in_world @ X19 @ X3)<=((rel_s4 @ X7 @ X3)&(exists_in_world @ X19 @ X7)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^1.ax', cumulative_ax)).
31.73/5.17	thf(c_0_14, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])).
31.73/5.17	thf(c_0_15, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
31.73/5.17	thf(c_0_16, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])).
31.73/5.17	thf(c_0_17, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])).
31.73/5.17	thf(c_0_18, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
31.73/5.17	thf(c_0_19, plain, ((mbox_s4)=(^[Z0:$i > $o, Z1:$i]:(![X7:$i]:((~((rel_s4 @ Z1 @ X7))|(Z0 @ X7)))))), inference(fof_simplification,[status(thm)],[mbox_s4])).
31.73/5.17	thf(c_0_20, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_15]), c_0_16])).
31.73/5.17	thf(c_0_21, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_15]), c_0_16])).
31.73/5.17	thf(c_0_22, plain, ((mforall_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(![X11:mu]:(((exists_in_world @ X11 @ Z1)=>(Z0 @ X11 @ Z1)))))), inference(fof_simplification,[status(thm)],[mforall_ind])).
31.73/5.17	thf(c_0_23, plain, ((mreflexive)=(^[Z0:$i > $i > $o]:(![X15:$i]:((Z0 @ X15 @ X15))))), inference(fof_simplification,[status(thm)],[mreflexive])).
31.73/5.17	thf(c_0_24, negated_conjecture, ~(![X181:$i, X180:$i]:((~(rel_s4 @ X181 @ X180)|(kn2 @ X180)))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[rosser_kn2]), c_0_18]), c_0_19])])).
31.73/5.17	thf(c_0_25, plain, ![X177:$i]:(~((~(![X169:$i]:((~(rel_s4 @ X177 @ X169)|(~(![X163:$i]:((~(rel_s4 @ X169 @ X163)|(kn2 @ X163))))|![X168:$i]:((~(rel_s4 @ X169 @ X168)|![X167:mu]:(((exists_in_world @ X167 @ X168)=>![X166:$i]:((~(rel_s4 @ X168 @ X166)|![X165:mu]:(((exists_in_world @ X165 @ X166)=>![X164:$i]:((~(rel_s4 @ X166 @ X164)|(is_a_theorem @ (implies @ (and @ X167 @ X165) @ X167) @ X164)))))))))))))))|~(![X176:$i]:((~(rel_s4 @ X177 @ X176)|(~(![X174:$i]:((~(rel_s4 @ X176 @ X174)|![X173:mu]:(((exists_in_world @ X173 @ X174)=>![X172:$i]:((~(rel_s4 @ X174 @ X172)|![X171:mu]:(((exists_in_world @ X171 @ X172)=>![X170:$i]:((~(rel_s4 @ X172 @ X170)|(is_a_theorem @ (implies @ (and @ X173 @ X171) @ X173) @ X170))))))))))))|![X175:$i]:((~(rel_s4 @ X176 @ X175)|(kn2 @ X175)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[kn2]), c_0_20]), c_0_21]), c_0_22]), c_0_18]), c_0_19])])).
31.73/5.17	thf(c_0_26, plain, ![X475:$i]:(~((~(![X467:$i]:((~(rel_s4 @ X475 @ X467)|(~(![X461:$i]:((~(rel_s4 @ X467 @ X461)|(and_1 @ X461))))|![X466:$i]:((~(rel_s4 @ X467 @ X466)|![X465:mu]:(((exists_in_world @ X465 @ X466)=>![X464:$i]:((~(rel_s4 @ X466 @ X464)|![X463:mu]:(((exists_in_world @ X463 @ X464)=>![X462:$i]:((~(rel_s4 @ X464 @ X462)|(is_a_theorem @ (implies @ (and @ X465 @ X463) @ X465) @ X462)))))))))))))))|~(![X474:$i]:((~(rel_s4 @ X475 @ X474)|(~(![X472:$i]:((~(rel_s4 @ X474 @ X472)|![X471:mu]:(((exists_in_world @ X471 @ X472)=>![X470:$i]:((~(rel_s4 @ X472 @ X470)|![X469:mu]:(((exists_in_world @ X469 @ X470)=>![X468:$i]:((~(rel_s4 @ X470 @ X468)|(is_a_theorem @ (implies @ (and @ X471 @ X469) @ X471) @ X468))))))))))))|![X473:$i]:((~(rel_s4 @ X474 @ X473)|(and_1 @ X473)))))))))), 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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[and_1]), c_0_20]), c_0_21]), c_0_22]), c_0_18]), c_0_19])])).
31.73/5.17	thf(c_0_27, plain, ![X492:$i, X491:$i]:((~(rel_s4 @ X492 @ X491)|(and_1 @ X491))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[hilbert_and_1, c_0_18]), c_0_19])])).
31.73/5.17	thf(c_0_28, plain, ![X158:$i]:((rel_s4 @ X158 @ X158)), inference(apply_def,[status(thm)],[a1, c_0_23])).
31.73/5.17	thf(c_0_29, negated_conjecture, ((rel_s4 @ esk8_0 @ esk9_0)&~(kn2 @ esk9_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
31.73/5.17	thf(c_0_30, plain, ![X788:$i, X789:$i, X791:$i, X792:mu, X793:$i, X794:mu, X795:$i, X796:$i, X797:$i, X803:$i]:(((((rel_s4 @ X789 @ (esk2_2 @ X788 @ X789))|(~(rel_s4 @ X789 @ X791)|(~(exists_in_world @ X792 @ X791)|(~(rel_s4 @ X791 @ X793)|(~(exists_in_world @ X794 @ X793)|(~(rel_s4 @ X793 @ X795)|(is_a_theorem @ (implies @ (and @ X792 @ X794) @ X792) @ X795))))))|~(rel_s4 @ X788 @ X789))&(~(kn2 @ (esk2_2 @ X788 @ X789))|(~(rel_s4 @ X789 @ X791)|(~(exists_in_world @ X792 @ X791)|(~(rel_s4 @ X791 @ X793)|(~(exists_in_world @ X794 @ X793)|(~(rel_s4 @ X793 @ X795)|(is_a_theorem @ (implies @ (and @ X792 @ X794) @ X792) @ X795))))))|~(rel_s4 @ X788 @ X789)))&(((rel_s4 @ X797 @ (esk3_2 @ X796 @ X797))|(~(rel_s4 @ X797 @ X803)|(kn2 @ X803))|~(rel_s4 @ X796 @ X797))&(((exists_in_world @ (esk4_2 @ X796 @ X797) @ (esk3_2 @ X796 @ X797))|(~(rel_s4 @ X797 @ X803)|(kn2 @ X803))|~(rel_s4 @ X796 @ X797))&(((rel_s4 @ (esk3_2 @ X796 @ X797) @ (esk5_2 @ X796 @ X797))|(~(rel_s4 @ X797 @ X803)|(kn2 @ X803))|~(rel_s4 @ X796 @ X797))&(((exists_in_world @ (esk6_2 @ X796 @ X797) @ (esk5_2 @ X796 @ X797))|(~(rel_s4 @ X797 @ X803)|(kn2 @ X803))|~(rel_s4 @ X796 @ X797))&(((rel_s4 @ (esk5_2 @ X796 @ X797) @ (esk7_2 @ X796 @ X797))|(~(rel_s4 @ X797 @ X803)|(kn2 @ X803))|~(rel_s4 @ X796 @ X797))&(~(is_a_theorem @ (implies @ (and @ (esk4_2 @ X796 @ X797) @ (esk6_2 @ X796 @ X797)) @ (esk4_2 @ X796 @ X797)) @ (esk7_2 @ X796 @ X797))|(~(rel_s4 @ X797 @ X803)|(kn2 @ X803))|~(rel_s4 @ X796 @ X797))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])])).
31.73/5.17	thf(c_0_31, plain, ![X1104:$i, X1105:$i, X1107:$i, X1108:mu, X1109:$i, X1110:mu, X1111:$i, X1112:$i, X1113:$i, X1119:$i]:(((((rel_s4 @ X1105 @ (esk96_2 @ X1104 @ X1105))|(~(rel_s4 @ X1105 @ X1107)|(~(exists_in_world @ X1108 @ X1107)|(~(rel_s4 @ X1107 @ X1109)|(~(exists_in_world @ X1110 @ X1109)|(~(rel_s4 @ X1109 @ X1111)|(is_a_theorem @ (implies @ (and @ X1108 @ X1110) @ X1108) @ X1111))))))|~(rel_s4 @ X1104 @ X1105))&(~(and_1 @ (esk96_2 @ X1104 @ X1105))|(~(rel_s4 @ X1105 @ X1107)|(~(exists_in_world @ X1108 @ X1107)|(~(rel_s4 @ X1107 @ X1109)|(~(exists_in_world @ X1110 @ X1109)|(~(rel_s4 @ X1109 @ X1111)|(is_a_theorem @ (implies @ (and @ X1108 @ X1110) @ X1108) @ X1111))))))|~(rel_s4 @ X1104 @ X1105)))&(((rel_s4 @ X1113 @ (esk97_2 @ X1112 @ X1113))|(~(rel_s4 @ X1113 @ X1119)|(and_1 @ X1119))|~(rel_s4 @ X1112 @ X1113))&(((exists_in_world @ (esk98_2 @ X1112 @ X1113) @ (esk97_2 @ X1112 @ X1113))|(~(rel_s4 @ X1113 @ X1119)|(and_1 @ X1119))|~(rel_s4 @ X1112 @ X1113))&(((rel_s4 @ (esk97_2 @ X1112 @ X1113) @ (esk99_2 @ X1112 @ X1113))|(~(rel_s4 @ X1113 @ X1119)|(and_1 @ X1119))|~(rel_s4 @ X1112 @ X1113))&(((exists_in_world @ (esk100_2 @ X1112 @ X1113) @ (esk99_2 @ X1112 @ X1113))|(~(rel_s4 @ X1113 @ X1119)|(and_1 @ X1119))|~(rel_s4 @ X1112 @ X1113))&(((rel_s4 @ (esk99_2 @ X1112 @ X1113) @ (esk101_2 @ X1112 @ X1113))|(~(rel_s4 @ X1113 @ X1119)|(and_1 @ X1119))|~(rel_s4 @ X1112 @ X1113))&(~(is_a_theorem @ (implies @ (and @ (esk98_2 @ X1112 @ X1113) @ (esk100_2 @ X1112 @ X1113)) @ (esk98_2 @ X1112 @ X1113)) @ (esk101_2 @ X1112 @ X1113))|(~(rel_s4 @ X1113 @ X1119)|(and_1 @ X1119))|~(rel_s4 @ X1112 @ X1113))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])])])).
31.73/5.17	thf(c_0_32, plain, ![X1136:$i, X1137:$i]:((~(rel_s4 @ X1136 @ X1137)|(and_1 @ X1137))), inference(variable_rename,[status(thm)],[c_0_27])).
31.73/5.17	thf(c_0_33, plain, ![X780:$i]:((rel_s4 @ X780 @ X780)), inference(variable_rename,[status(thm)],[c_0_28])).
31.73/5.17	thf(c_0_34, negated_conjecture, ~((kn2 @ esk9_0)), inference(split_conjunct,[status(thm)],[c_0_29])).
31.73/5.17	thf(c_0_35, plain, ![X15:$i, X3:$i, X7:$i]:(((kn2 @ X15)|~((is_a_theorem @ (implies @ (and @ (esk4_2 @ X3 @ X7) @ (esk6_2 @ X3 @ X7)) @ (esk4_2 @ X3 @ X7)) @ (esk7_2 @ X3 @ X7)))|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_30])).
31.73/5.17	thf(c_0_36, plain, ![X15:$i, X3:$i, X11:mu, X17:$i, X16:$i, X13:mu, X7:$i]:(((is_a_theorem @ (implies @ (and @ X11 @ X13) @ X11) @ X17)|~((and_1 @ (esk96_2 @ X3 @ X7)))|~((rel_s4 @ X7 @ X15))|~((exists_in_world @ X11 @ X15))|~((rel_s4 @ X15 @ X16))|~((exists_in_world @ X13 @ X16))|~((rel_s4 @ X16 @ X17))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_31])).
31.73/5.17	thf(c_0_37, plain, ![X3:$i, X7:$i]:(((and_1 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_32])).
31.73/5.17	thf(c_0_38, plain, ![X15:$i, X3:$i, X7:$i]:(((rel_s4 @ (esk5_2 @ X3 @ X7) @ (esk7_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_30])).
31.73/5.17	thf(c_0_39, plain, ![X3:$i]:((rel_s4 @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_33])).
31.73/5.17	thf(c_0_40, plain, ![X15:$i, X3:$i, X7:$i]:(((exists_in_world @ (esk6_2 @ X3 @ X7) @ (esk5_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_30])).
31.73/5.17	thf(c_0_41, plain, ![X15:$i, X3:$i, X7:$i]:(((rel_s4 @ (esk3_2 @ X3 @ X7) @ (esk5_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_30])).
31.73/5.17	thf(c_0_42, negated_conjecture, ![X3:$i, X7:$i]:((~((is_a_theorem @ (implies @ (and @ (esk4_2 @ X3 @ X7) @ (esk6_2 @ X3 @ X7)) @ (esk4_2 @ X3 @ X7)) @ (esk7_2 @ X3 @ X7)))|~((rel_s4 @ X7 @ esk9_0))|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_34, c_0_35])).
31.73/5.17	thf(c_0_43, plain, ![X15:$i, X7:$i, X3:$i, X13:mu, X11:mu, X17:$i, X16:$i, X132:$i]:(((is_a_theorem @ (implies @ (and @ X11 @ X13) @ X11) @ X3)|~((rel_s4 @ X7 @ (esk96_2 @ X15 @ X16)))|~((rel_s4 @ X17 @ X3))|~((rel_s4 @ X132 @ X17))|~((rel_s4 @ X16 @ X132))|~((rel_s4 @ X15 @ X16))|~((exists_in_world @ X13 @ X17))|~((exists_in_world @ X11 @ X132)))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
31.73/5.17	thf(c_0_44, plain, ![X3:$i, X7:$i]:(((rel_s4 @ (esk5_2 @ X3 @ X7) @ (esk7_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
31.73/5.17	thf(c_0_45, plain, ![X3:$i, X7:$i]:(((exists_in_world @ (esk6_2 @ X3 @ X7) @ (esk5_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_40, c_0_39])).
31.73/5.17	thf(c_0_46, plain, ![X19:mu, X7:$i, X3:$i]:((((rel_s4 @ X7 @ X3)&(exists_in_world @ X19 @ X7))=>(exists_in_world @ X19 @ X3))), inference(fof_simplification,[status(thm)],[cumulative_ax])).
31.73/5.17	thf(c_0_47, plain, ![X3:$i, X7:$i]:(((rel_s4 @ (esk3_2 @ X3 @ X7) @ (esk5_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_41, c_0_39])).
31.73/5.17	thf(c_0_48, plain, ![X15:$i, X3:$i, X7:$i]:(((exists_in_world @ (esk4_2 @ X3 @ X7) @ (esk3_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_30])).
31.73/5.17	thf(c_0_49, negated_conjecture, ![X3:$i, X17:$i, X16:$i, X132:$i, X135:$i, X7:$i, X15:$i]:((~((rel_s4 @ X3 @ (esk96_2 @ X7 @ X15)))|~((rel_s4 @ X16 @ (esk7_2 @ X17 @ X132)))|~((exists_in_world @ (esk6_2 @ X17 @ X132) @ X16))|~((exists_in_world @ (esk4_2 @ X17 @ X132) @ X135))|~((rel_s4 @ X132 @ esk9_0))|~((rel_s4 @ X17 @ X132))|~((rel_s4 @ X135 @ X16))|~((rel_s4 @ X15 @ X135))|~((rel_s4 @ X7 @ X15)))), inference(spm,[status(thm)],[c_0_42, c_0_43])).
31.73/5.17	thf(c_0_50, plain, ![X3:$i]:(((rel_s4 @ (esk5_2 @ X3 @ X3) @ (esk7_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_44, c_0_39])).
31.73/5.17	thf(c_0_51, plain, ![X3:$i]:(((exists_in_world @ (esk6_2 @ X3 @ X3) @ (esk5_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_45, c_0_39])).
31.73/5.17	thf(c_0_52, plain, ![X781:mu, X782:$i, X783:$i]:((~(rel_s4 @ X782 @ X783)|~(exists_in_world @ X781 @ X782)|(exists_in_world @ X781 @ X783))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])).
31.73/5.17	thf(c_0_53, plain, ![X3:$i]:(((rel_s4 @ (esk3_2 @ X3 @ X3) @ (esk5_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_47, c_0_39])).
31.73/5.17	thf(c_0_54, plain, ![X3:$i, X7:$i]:(((exists_in_world @ (esk4_2 @ X3 @ X7) @ (esk3_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_48, c_0_39])).
31.73/5.17	thf(c_0_55, plain, ![X15:$i, X7:$i, X3:$i]:(((rel_s4 @ X3 @ (esk3_2 @ X7 @ X3))|(kn2 @ X15)|~((rel_s4 @ X3 @ X15))|~((rel_s4 @ X7 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_30])).
31.73/5.17	thf(c_0_56, negated_conjecture, ![X15:$i, X3:$i, X7:$i, X16:$i, X132:$i, X17:$i]:((~((rel_s4 @ X3 @ (esk7_2 @ X7 @ X15)))|~((exists_in_world @ (esk6_2 @ X7 @ X15) @ X3))|~((exists_in_world @ (esk4_2 @ X7 @ X15) @ X16))|~((rel_s4 @ X15 @ esk9_0))|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X16 @ X3))|~((rel_s4 @ X17 @ X16))|~((rel_s4 @ X132 @ X17)))), inference(spm,[status(thm)],[c_0_49, c_0_39])).
31.73/5.17	thf(c_0_57, negated_conjecture, (rel_s4 @ (esk5_2 @ esk9_0 @ esk9_0) @ (esk7_2 @ esk9_0 @ esk9_0)), inference(spm,[status(thm)],[c_0_34, c_0_50])).
31.73/5.17	thf(c_0_58, negated_conjecture, (exists_in_world @ (esk6_2 @ esk9_0 @ esk9_0) @ (esk5_2 @ esk9_0 @ esk9_0)), inference(spm,[status(thm)],[c_0_34, c_0_51])).
31.73/5.17	thf(c_0_59, plain, ![X11:mu, X7:$i, X3:$i]:(((exists_in_world @ X11 @ X7)|~((rel_s4 @ X3 @ X7))|~((exists_in_world @ X11 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_52])).
31.73/5.17	thf(c_0_60, negated_conjecture, (rel_s4 @ (esk3_2 @ esk9_0 @ esk9_0) @ (esk5_2 @ esk9_0 @ esk9_0)), inference(spm,[status(thm)],[c_0_34, c_0_53])).
31.73/5.17	thf(c_0_61, plain, ![X3:$i]:(((exists_in_world @ (esk4_2 @ X3 @ X3) @ (esk3_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_54, c_0_39])).
31.73/5.17	thf(c_0_62, plain, ![X3:$i, X7:$i]:(((rel_s4 @ X3 @ (esk3_2 @ X3 @ X3))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_55, c_0_39])).
31.73/5.17	thf(c_0_63, negated_conjecture, ![X15:$i, X3:$i, X7:$i]:((~((exists_in_world @ (esk4_2 @ esk9_0 @ esk9_0) @ X3))|~((rel_s4 @ X3 @ (esk5_2 @ esk9_0 @ esk9_0)))|~((rel_s4 @ X7 @ X3))|~((rel_s4 @ X15 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58]), c_0_39])])).
31.73/5.17	thf(c_0_64, negated_conjecture, ![X11:mu]:(((exists_in_world @ X11 @ (esk5_2 @ esk9_0 @ esk9_0))|~((exists_in_world @ X11 @ (esk3_2 @ esk9_0 @ esk9_0))))), inference(spm,[status(thm)],[c_0_59, c_0_60])).
31.73/5.17	thf(c_0_65, negated_conjecture, (exists_in_world @ (esk4_2 @ esk9_0 @ esk9_0) @ (esk3_2 @ esk9_0 @ esk9_0)), inference(spm,[status(thm)],[c_0_34, c_0_61])).
31.73/5.17	thf(c_0_66, plain, ![X3:$i]:(((rel_s4 @ X3 @ (esk3_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_62, c_0_39])).
31.73/5.17	thf(c_0_67, negated_conjecture, ![X7:$i, X3:$i]:((~((rel_s4 @ X3 @ (esk5_2 @ esk9_0 @ esk9_0)))|~((rel_s4 @ X7 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_39]), c_0_65])])).
31.73/5.17	thf(c_0_68, negated_conjecture, (rel_s4 @ esk9_0 @ (esk3_2 @ esk9_0 @ esk9_0)), inference(spm,[status(thm)],[c_0_34, c_0_66])).
31.73/5.17	thf(c_0_69, negated_conjecture, ![X3:$i]:(~((rel_s4 @ X3 @ (esk3_2 @ esk9_0 @ esk9_0)))), inference(spm,[status(thm)],[c_0_67, c_0_60])).
31.73/5.17	thf(c_0_70, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_68, c_0_69]), ['proof']).
31.73/5.17	# SZS output end CNFRefutation
31.73/5.17	# Parsed axioms                        : 180
31.73/5.17	# Removed by relevancy pruning/SinE    : 0
31.73/5.17	# Initial clauses                      : 371
31.73/5.17	# Removed in clause preprocessing      : 73
31.73/5.17	# Initial clauses in saturation        : 298
31.73/5.17	# Processed clauses                    : 10003
31.73/5.17	# ...of these trivial                  : 0
31.73/5.17	# ...subsumed                          : 3400
31.73/5.17	# ...remaining for further processing  : 6603
31.73/5.17	# Other redundant clauses eliminated   : 0
31.73/5.17	# Clauses deleted for lack of memory   : 0
31.73/5.17	# Backward-subsumed                    : 261
31.73/5.17	# Backward-rewritten                   : 18
31.73/5.17	# Generated clauses                    : 17581
31.73/5.17	# ...of the previous two non-redundant : 17508
31.73/5.17	# ...aggressively subsumed             : 0
31.73/5.17	# Contextual simplify-reflections      : 2
31.73/5.17	# Paramodulations                      : 17580
31.73/5.17	# Factorizations                       : 0
31.73/5.17	# NegExts                              : 0
31.73/5.17	# Equation resolutions                 : 0
31.73/5.17	# Propositional unsat checks           : 1
31.73/5.17	#    Propositional check models        : 1
31.73/5.17	#    Propositional check unsatisfiable : 0
31.73/5.17	#    Propositional clauses             : 0
31.73/5.17	#    Propositional clauses after purity: 0
31.73/5.17	#    Propositional unsat core size     : 0
31.73/5.17	#    Propositional preprocessing time  : 0.000
31.73/5.17	#    Propositional encoding time       : 0.022
31.73/5.17	#    Propositional solver time         : 0.001
31.73/5.17	#    Success case prop preproc time    : 0.000
31.73/5.17	#    Success case prop encoding time   : 0.000
31.73/5.17	#    Success case prop solver time     : 0.000
31.73/5.17	# Current number of processed clauses  : 6127
31.73/5.17	#    Positive orientable unit clauses  : 19
31.73/5.17	#    Positive unorientable unit clauses: 0
31.73/5.17	#    Negative unit clauses             : 2
31.73/5.17	#    Non-unit-clauses                  : 6106
31.73/5.17	# Current number of unprocessed clauses: 7990
31.73/5.17	# ...number of literals in the above   : 42883
31.73/5.17	# Current number of archived formulas  : 0
31.73/5.17	# Current number of archived clauses   : 476
31.73/5.17	# Clause-clause subsumption calls (NU) : 17709744
31.73/5.17	# Rec. Clause-clause subsumption calls : 8186060
31.73/5.17	# Non-unit clause-clause subsumptions  : 3494
31.73/5.17	# Unit Clause-clause subsumption calls : 6894
31.73/5.17	# Rewrite failures with RHS unbound    : 0
31.73/5.17	# BW rewrite match attempts            : 12
31.73/5.17	# BW rewrite match successes           : 10
31.73/5.17	# Condensation attempts                : 0
31.73/5.17	# Condensation successes               : 0
31.73/5.17	# Termbank termtop insertions          : 617792
31.73/5.17	
31.73/5.17	# -------------------------------------------------
31.73/5.17	# User time                : 4.702 s
31.73/5.17	# System time              : 0.025 s
31.73/5.17	# Total time               : 4.727 s
31.73/5.17	# Maximum resident set size: 6868 pages
31.73/5.17	
31.73/5.17	# -------------------------------------------------
31.73/5.17	# User time                : 4.718 s
31.73/5.17	# System time              : 0.057 s
31.73/5.17	# Total time               : 4.775 s
31.73/5.17	# Maximum resident set size: 2068 pages
31.73/5.20	EOF