0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command    : run_E %s %d THM
0.10/0.30	% Computer : n028.cluster.edu
0.10/0.30	% Model    : x86_64 x86_64
0.10/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.30	% Memory   : 8042.1875MB
0.10/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 960
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Tue Aug  9 07:07:20 EDT 2022
0.10/0.31	% CPUTime    : 
0.15/0.41	Running higher-order on 8 cores theorem proving
0.15/0.41	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
0.15/0.41	# Version: 3.0pre003-ho
0.15/0.47	# Preprocessing class: HSMSSMSSSSMNHFA.
0.15/0.47	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.15/0.47	# Starting ehoh_best_nonlift with 600s (5) cores
0.15/0.47	# Starting lpo6_lambda_fix with 120s (1) cores
0.15/0.47	# Starting ehoh_best_nonlift_rwall with 120s (1) cores
0.15/0.47	# Starting ehoh_best3_fo with 120s (1) cores
0.15/0.47	# ehoh_best_nonlift with pid 20678 completed with status 0
0.15/0.47	# Result found by ehoh_best_nonlift
0.15/0.47	# Preprocessing class: HSMSSMSSSSMNHFA.
0.15/0.47	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.15/0.47	# Starting ehoh_best_nonlift with 600s (5) cores
0.15/0.47	# No SInE strategy applied
0.15/0.47	# Search class: HGHNS-FFMF33-MHFFFSBN
0.15/0.47	# partial match(3): HGHNS-FFMF32-SHSFFSBN
0.15/0.47	# Scheduled 5 strats onto 5 cores with 600 seconds (600 total)
0.15/0.47	# Starting ho_unfolding_3 with 361s (1) cores
0.15/0.47	# Starting ehoh_best_nonlift_rwall with 61s (1) cores
0.15/0.47	# Starting ehoh_best_nonlift_nonlambdatoforall with 61s (1) cores
0.15/0.47	# Starting ehoh_best8_lambda with 61s (1) cores
0.15/0.47	# Starting ehoh_best_nonlift with 56s (1) cores
0.15/0.47	# ehoh_best_nonlift_rwall with pid 20684 completed with status 0
0.15/0.47	# Result found by ehoh_best_nonlift_rwall
0.15/0.47	# Preprocessing class: HSMSSMSSSSMNHFA.
0.15/0.47	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.15/0.47	# Starting ehoh_best_nonlift with 600s (5) cores
0.15/0.47	# No SInE strategy applied
0.15/0.47	# Search class: HGHNS-FFMF33-MHFFFSBN
0.15/0.47	# partial match(3): HGHNS-FFMF32-SHSFFSBN
0.15/0.47	# Scheduled 5 strats onto 5 cores with 600 seconds (600 total)
0.15/0.47	# Starting ho_unfolding_3 with 361s (1) cores
0.15/0.47	# Starting ehoh_best_nonlift_rwall with 61s (1) cores
0.15/0.47	# Preprocessing time       : 0.001 s
0.15/0.47	# Presaturation interreduction done
0.15/0.47	
0.15/0.47	# Proof found!
0.15/0.47	# SZS status ContradictoryAxioms
0.15/0.47	# SZS output start CNFRefutation
0.15/0.47	thf(decl_22, type, inconsistency_G: qML_mu > qML_i > $o).
0.15/0.47	thf(decl_23, type, incons1905966852QML_mu: qML_mu > qML_i > $o).
0.15/0.47	thf(decl_24, type, inconsistency_P: (qML_mu > qML_i > $o) > qML_i > $o).
0.15/0.47	thf(decl_25, type, incons1389517216QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o).
0.15/0.47	thf(decl_26, type, qML_r: qML_i > qML_i > $o).
0.15/0.47	thf(decl_27, type, esk1_3: qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_28, type, esk2_3: qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_29, type, epred1_2: qML_mu > qML_i > qML_mu > qML_i > $o).
0.15/0.47	thf(decl_30, type, epred2_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu > qML_i > $o).
0.15/0.47	thf(decl_31, type, esk3_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_i).
0.15/0.47	thf(decl_32, type, esk4_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu).
0.15/0.47	thf(decl_33, type, esk5_4: qML_mu > qML_i > (qML_mu > qML_i > $o) > qML_i > qML_mu).
0.15/0.47	thf(decl_34, type, epred3_2: qML_mu > qML_i > qML_mu > qML_i > $o).
0.15/0.47	thf(decl_35, type, esk6_2: qML_mu > qML_i > qML_i).
0.15/0.47	thf(decl_36, type, esk7_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_37, type, esk8_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_38, type, esk9_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_39, type, esk10_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_40, type, esk11_0: qML_mu).
0.15/0.47	thf(decl_41, type, esk12_0: qML_i).
0.15/0.47	thf(decl_42, type, esk13_0: qML_i).
0.15/0.47	thf(decl_43, type, esk14_0: qML_mu).
0.15/0.47	thf(decl_44, type, esk15_0: qML_i).
0.15/0.47	thf(decl_45, type, esk16_0: qML_mu).
0.15/0.47	thf(decl_46, type, esk17_0: qML_i).
0.15/0.47	thf(decl_47, type, esk18_0: qML_mu).
0.15/0.47	thf(decl_48, type, esk19_0: qML_i).
0.15/0.47	thf(decl_49, type, esk20_0: qML_i).
0.15/0.47	thf(decl_50, type, esk21_0: qML_i).
0.15/0.47	thf(decl_51, type, esk22_0: qML_i).
0.15/0.47	thf(decl_52, type, esk23_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_53, type, esk24_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_54, type, esk25_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_55, type, esk26_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_56, type, esk27_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_57, type, esk28_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_58, type, esk29_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_59, type, esk30_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_60, type, esk31_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_61, type, esk32_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_62, type, esk33_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_63, type, esk34_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_64, type, esk35_0: qML_mu).
0.15/0.47	thf(decl_65, type, esk36_0: qML_i).
0.15/0.47	thf(decl_66, type, esk37_0: qML_i).
0.15/0.47	thf(decl_67, type, esk38_0: qML_mu).
0.15/0.47	thf(decl_68, type, esk39_0: qML_i).
0.15/0.47	thf(decl_69, type, esk40_0: qML_i).
0.15/0.47	thf(decl_70, type, esk41_3: qML_mu > (qML_mu > qML_i > $o) > qML_i > qML_mu).
0.15/0.47	thf(decl_71, type, esk42_3: qML_mu > (qML_mu > qML_i > $o) > qML_i > qML_i).
0.15/0.47	thf(decl_72, type, esk43_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_73, type, esk44_0: qML_mu).
0.15/0.47	thf(decl_74, type, esk45_0: qML_i).
0.15/0.47	thf(decl_75, type, esk46_2: qML_mu > qML_i > qML_mu).
0.15/0.47	thf(decl_76, type, esk47_2: qML_mu > qML_i > qML_i).
0.15/0.47	thf(decl_77, type, esk48_0: qML_i).
0.15/0.47	thf(decl_78, type, esk49_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_79, type, esk50_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_80, type, esk51_0: qML_mu).
0.15/0.47	thf(decl_81, type, esk52_0: qML_i).
0.15/0.47	thf(decl_82, type, esk53_0: qML_mu).
0.15/0.47	thf(decl_83, type, esk54_0: qML_i).
0.15/0.47	thf(decl_84, type, esk55_0: qML_i).
0.15/0.47	thf(decl_85, type, esk56_0: qML_i).
0.15/0.47	thf(decl_86, type, esk57_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_87, type, esk58_0: qML_mu).
0.15/0.47	thf(decl_88, type, esk59_0: qML_i).
0.15/0.47	thf(decl_89, type, esk60_2: qML_mu > qML_i > qML_mu).
0.15/0.47	thf(decl_90, type, esk61_2: qML_mu > qML_i > qML_i).
0.15/0.47	thf(decl_91, type, esk62_0: qML_i).
0.15/0.47	thf(decl_92, type, esk63_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_93, type, esk64_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_94, type, esk65_0: qML_mu).
0.15/0.47	thf(decl_95, type, esk66_0: qML_i).
0.15/0.47	thf(decl_96, type, esk67_0: qML_i).
0.15/0.47	thf(decl_97, type, esk68_0: qML_mu).
0.15/0.47	thf(decl_98, type, esk69_0: qML_i).
0.15/0.47	thf(decl_99, type, esk70_0: qML_i).
0.15/0.47	thf(decl_100, type, esk71_0: qML_mu).
0.15/0.47	thf(decl_101, type, esk72_0: qML_i).
0.15/0.47	thf(decl_102, type, esk73_0: qML_i).
0.15/0.47	thf(decl_103, type, esk74_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_104, type, esk75_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_105, type, esk76_2: qML_mu > qML_i > qML_mu).
0.15/0.47	thf(decl_106, type, esk77_2: qML_mu > qML_i > qML_i).
0.15/0.47	thf(decl_107, type, esk78_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_108, type, esk79_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_109, type, esk80_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_110, type, esk81_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_111, type, esk82_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_112, type, esk83_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_113, type, esk84_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_114, type, esk85_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_115, type, esk86_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_116, type, esk87_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_117, type, esk88_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_118, type, esk89_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_119, type, esk90_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_120, type, esk91_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_121, type, esk92_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_122, type, esk93_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_123, type, esk94_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_124, type, esk95_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_125, type, esk96_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_126, type, esk97_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_127, type, esk98_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_128, type, esk99_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_129, type, esk100_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_130, type, esk101_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_131, type, esk102_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_132, type, esk103_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_133, type, esk104_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_134, type, esk105_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_135, type, esk106_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_136, type, esk107_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_137, type, esk108_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_138, type, esk109_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_139, type, esk110_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_140, type, esk111_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_141, type, esk112_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_142, type, esk113_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_143, type, esk114_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_144, type, esk115_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_145, type, esk116_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_146, type, esk117_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_147, type, esk118_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_148, type, esk119_2: qML_mu > qML_i > qML_i).
0.15/0.47	thf(decl_149, type, esk120_1: (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_150, type, esk121_1: (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_151, type, esk122_0: qML_mu).
0.15/0.47	thf(decl_152, type, esk123_0: qML_i).
0.15/0.47	thf(decl_153, type, esk124_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_154, type, esk125_0: qML_mu).
0.15/0.47	thf(decl_155, type, esk126_0: qML_i).
0.15/0.47	thf(decl_156, type, esk127_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu).
0.15/0.47	thf(decl_157, type, esk128_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_i).
0.15/0.47	thf(decl_158, type, esk129_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_159, type, esk130_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(decl_160, type, esk131_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu).
0.15/0.47	thf(decl_161, type, esk132_2: (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i).
0.15/0.47	thf(fact_2_A2, axiom, ![X1:qML_i, X2:qML_mu > qML_i > $o, X3:qML_mu > qML_i > $o]:(((inconsistency_P @ X3 @ X1)<=((inconsistency_P @ X2 @ X1)&![X4:qML_i]:(((qML_r @ X1 @ X4)=>![X5:qML_mu]:(((X2 @ X5 @ X4)=>(X3 @ X5 @ X4)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2_A2)).
0.15/0.47	thf(fact_0_A1a, axiom, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((inconsistency_P @ (^[X13:qML_mu, X14:qML_i]:(~((X2 @ X13 @ X14)))) @ X1)=>~((inconsistency_P @ X2 @ X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_A1a)).
0.15/0.47	thf(fact_1_A1b, axiom, ![X1:qML_i, X2:qML_mu > qML_i > $o]:((~((inconsistency_P @ X2 @ X1))=>(inconsistency_P @ (^[X16:qML_mu, X17:qML_i]:(~((X2 @ X16 @ X17)))) @ X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_A1b)).
0.15/0.47	thf(fact_3_A3, axiom, ![X12:qML_i]:((inconsistency_P @ inconsistency_G @ X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3_A3)).
0.15/0.47	thf(fact_5_A5, axiom, ![X12:qML_i]:((inconsistency_P @ incons1905966852QML_mu @ X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5_A5)).
0.15/0.47	thf(fact_8_ess__def, axiom, ((incons1389517216QML_mu)=(^[X9:qML_mu > qML_i > $o, X6:qML_mu, X7:qML_i]:(![X8:qML_mu > qML_i > $o]:(((X8 @ X6 @ X7)=>![X10:qML_i]:(((qML_r @ X7 @ X10)=>![X11:qML_mu]:(((X8 @ X11 @ X10)<=(X9 @ X11 @ X10)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8_ess__def)).
0.15/0.47	thf(fact_6_G__def, axiom, ((inconsistency_G)=(^[X6:qML_mu, X7:qML_i]:(![X8:qML_mu > qML_i > $o]:(((inconsistency_P @ X8 @ X7)=>(X8 @ X6 @ X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_6_G__def)).
0.15/0.47	thf(fact_7_NE__def, axiom, ((incons1905966852QML_mu)=(^[X6:qML_mu, X7:qML_i]:(![X8:qML_mu > qML_i > $o]:((![X10:qML_i]:((?[X11:qML_mu]:((X8 @ X11 @ X10))<=(qML_r @ X7 @ X10)))<=(incons1389517216QML_mu @ X8 @ X6 @ X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_7_NE__def)).
0.15/0.47	thf(c_0_8, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X3:qML_mu > qML_i > $o]:((((inconsistency_P @ X2 @ X1)&![X4:qML_i]:(((qML_r @ X1 @ X4)=>![X5:qML_mu]:(((X2 @ X5 @ X4)=>(X3 @ X5 @ X4))))))=>(inconsistency_P @ X3 @ X1))), inference(fof_simplification,[status(thm)],[fact_2_A2])).
0.15/0.47	thf(c_0_9, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)=>~(inconsistency_P @ X2 @ X1))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_0_A1a])])).
0.15/0.47	thf(c_0_10, plain, ![X39:qML_i, X40:qML_mu > qML_i > $o, X41:qML_mu > qML_i > $o]:((((qML_r @ X39 @ (esk1_3 @ X39 @ X40 @ X41))|~(inconsistency_P @ X40 @ X39)|(inconsistency_P @ X41 @ X39))&(((X40 @ (esk2_3 @ X39 @ X40 @ X41) @ (esk1_3 @ X39 @ X40 @ X41))|~(inconsistency_P @ X40 @ X39)|(inconsistency_P @ X41 @ X39))&(~(X41 @ (esk2_3 @ X39 @ X40 @ X41) @ (esk1_3 @ X39 @ X40 @ X41))|~(inconsistency_P @ X40 @ X39)|(inconsistency_P @ X41 @ X39))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
0.15/0.47	thf(c_0_11, plain, ![X63:qML_i, X64:qML_mu > qML_i > $o]:((~(inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X64 @ Z0 @ Z1)))) @ X63)|~(inconsistency_P @ X64 @ X63))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])).
0.15/0.47	thf(c_0_12, plain, ![X3:qML_mu > qML_i > $o, X2:qML_mu > qML_i > $o, X1:qML_i]:(((inconsistency_P @ X2 @ X1)|~((X2 @ (esk2_3 @ X1 @ X3 @ X2) @ (esk1_3 @ X1 @ X3 @ X2)))|~((inconsistency_P @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.15/0.47	thf(c_0_13, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:((~(inconsistency_P @ X2 @ X1)=>(inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_1_A1b])])).
0.15/0.47	thf(c_0_14, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:((~((inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1))|~((inconsistency_P @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_11])).
0.15/0.47	thf(c_0_15, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:(((inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(($true))) @ X1)|~((inconsistency_P @ X2 @ X1)))), inference(primitive_enumeration,[status(thm)],[c_0_12])).
0.15/0.47	thf(c_0_16, plain, ![X79:qML_i, X80:qML_mu > qML_i > $o]:(((inconsistency_P @ X80 @ X79)|(inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X80 @ Z0 @ Z1)))) @ X79))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])).
0.15/0.47	thf(c_0_17, plain, ![X68:qML_i]:((inconsistency_P @ inconsistency_G @ X68)), inference(variable_rename,[status(thm)],[fact_3_A3])).
0.15/0.47	thf(c_0_18, plain, ![X3:qML_mu > qML_i > $o, X2:qML_mu > qML_i > $o, X1:qML_i]:((((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(($true))))|~((inconsistency_P @ X2 @ X1))|~((inconsistency_P @ X3 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14, c_0_15])])).
0.15/0.47	thf(c_0_19, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:(((inconsistency_P @ X2 @ X1)|(inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1))), inference(split_conjunct,[status(thm)],[c_0_16])).
0.15/0.47	thf(c_0_20, plain, ![X62:qML_i]:((inconsistency_P @ incons1905966852QML_mu @ X62)), inference(variable_rename,[status(thm)],[fact_5_A5])).
0.15/0.47	thf(c_0_21, plain, ![X1:qML_i]:((inconsistency_P @ inconsistency_G @ X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
0.15/0.47	thf(c_0_22, plain, ![X3:qML_mu > qML_i > $o, X2:qML_mu > qML_i > $o, X1:qML_i]:(((inconsistency_P @ X2 @ X1)|((^[Z0:qML_mu, Z1:qML_i]:((X2 @ Z0 @ Z1)))!=(^[Z0:qML_mu, Z1:qML_i]:(($true))))|~((inconsistency_P @ X3 @ X1)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19])])).
0.15/0.47	thf(c_0_23, plain, ![X1:qML_i]:((inconsistency_P @ incons1905966852QML_mu @ X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
0.15/0.47	thf(c_0_24, plain, ![X34:qML_mu > qML_i > $o, X35:qML_mu, X36:qML_i]:(((incons1389517216QML_mu @ X34 @ X35 @ X36)<=>![X8:qML_mu > qML_i > $o]:(((X8 @ X35 @ X36)=>![X10:qML_i]:(((qML_r @ X36 @ X10)=>![X11:qML_mu]:(((X34 @ X11 @ X10)=>(X8 @ X11 @ X10))))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_8_ess__def])])])).
0.15/0.47	thf(c_0_25, plain, ![X32:qML_mu, X33:qML_i]:(((inconsistency_G @ X32 @ X33)<=>![X8:qML_mu > qML_i > $o]:(((inconsistency_P @ X8 @ X33)=>(X8 @ X32 @ X33))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_6_G__def])])).
0.15/0.47	thf(c_0_26, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:((((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(inconsistency_G))|~((inconsistency_P @ X2 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14, c_0_21])])).
0.15/0.47	thf(c_0_27, plain, ![X1:qML_i]:((inconsistency_P @ (^[Z0:qML_mu, Z1:qML_i]:(($true))) @ X1)), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23])])).
0.15/0.47	thf(c_0_28, plain, ![X37:qML_mu, X38:qML_i]:(((incons1905966852QML_mu @ X37 @ X38)<=>![X8:qML_mu > qML_i > $o]:(((incons1389517216QML_mu @ X8 @ X37 @ X38)=>![X10:qML_i]:(((qML_r @ X38 @ X10)=>?[X11:qML_mu]:((X8 @ X11 @ X10)))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_7_NE__def])])])).
0.15/0.47	thf(c_0_29, plain, ![X50:qML_mu > qML_i > $o, X51:qML_mu, X52:qML_i, X53:qML_mu > qML_i > $o, X54:qML_i, X55:qML_mu, X56:qML_mu > qML_i > $o, X57:qML_mu, X58:qML_i]:(((~(incons1389517216QML_mu @ X50 @ X51 @ X52)|(~(X53 @ X51 @ X52)|(~(qML_r @ X52 @ X54)|(~(X50 @ X55 @ X54)|(X53 @ X55 @ X54)))))&(((epred2_3 @ X56 @ X57 @ X58 @ X57 @ X58)|(incons1389517216QML_mu @ X56 @ X57 @ X58))&(((qML_r @ X58 @ (esk3_3 @ X56 @ X57 @ X58))|(incons1389517216QML_mu @ X56 @ X57 @ X58))&(((X56 @ (esk4_3 @ X56 @ X57 @ X58) @ (esk3_3 @ X56 @ X57 @ X58))|(incons1389517216QML_mu @ X56 @ X57 @ X58))&(~(epred2_3 @ X56 @ X57 @ X58 @ (esk4_3 @ X56 @ X57 @ X58) @ (esk3_3 @ X56 @ X57 @ X58))|(incons1389517216QML_mu @ X56 @ X57 @ X58))))))), 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_24])])])])])])).
0.15/0.47	thf(c_0_30, plain, ![X44:qML_mu, X45:qML_i, X46:qML_mu > qML_i > $o, X47:qML_mu, X48:qML_i]:(((~(inconsistency_G @ X44 @ X45)|(~(inconsistency_P @ X46 @ X45)|(X46 @ X44 @ X45)))&(((inconsistency_P @ (epred1_2 @ X47 @ X48) @ X48)|(inconsistency_G @ X47 @ X48))&(~(epred1_2 @ X47 @ X48 @ X47 @ X48)|(inconsistency_G @ X47 @ X48))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])])).
0.15/0.47	thf(c_0_31, plain, ((^[Z0:qML_mu, Z1:qML_i]:(~($true)))!=(inconsistency_G)), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27])])).
0.15/0.47	thf(c_0_32, plain, ![X69:qML_mu, X70:qML_i, X71:qML_mu > qML_i > $o, X72:qML_i, X74:qML_mu, X75:qML_i, X78:qML_mu]:(((~(incons1905966852QML_mu @ X69 @ X70)|(~(incons1389517216QML_mu @ X71 @ X69 @ X70)|(~(qML_r @ X70 @ X72)|(X71 @ (esk5_4 @ X69 @ X70 @ X71 @ X72) @ X72))))&(((incons1389517216QML_mu @ (epred3_2 @ X74 @ X75) @ X74 @ X75)|(incons1905966852QML_mu @ X74 @ X75))&(((qML_r @ X75 @ (esk6_2 @ X74 @ X75))|(incons1905966852QML_mu @ X74 @ X75))&(~(epred3_2 @ X74 @ X75 @ X78 @ (esk6_2 @ X74 @ X75))|(incons1905966852QML_mu @ X74 @ X75)))))), 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_28])])])])])])).
0.15/0.47	thf(c_0_33, plain, ![X5:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ (esk4_3 @ X2 @ X5 @ X1) @ (esk3_3 @ X2 @ X5 @ X1))|(incons1389517216QML_mu @ X2 @ X5 @ X1))), inference(split_conjunct,[status(thm)],[c_0_29])).
0.15/0.47	thf(c_0_34, plain, ![X5:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ X5 @ X1)|~((inconsistency_G @ X5 @ X1))|~((inconsistency_P @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
0.15/0.47	thf(c_0_35, plain, ((^[Z0:qML_i]:(~($true)))!=(inconsistency_G @ esk68_0)), inference(neg_ext,[status(thm)],[c_0_31])).
0.15/0.47	thf(c_0_36, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i, X5:qML_mu, X4:qML_i]:(((X2 @ (esk5_4 @ X5 @ X1 @ X2 @ X4) @ X4)|~((incons1905966852QML_mu @ X5 @ X1))|~((incons1389517216QML_mu @ X2 @ X5 @ X1))|~((qML_r @ X1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_32])).
0.15/0.47	thf(c_0_37, plain, ![X5:qML_mu, X1:qML_i]:((incons1389517216QML_mu @ (^[Z0:qML_mu, Z1:qML_i]:(~($true))) @ X5 @ X1)), inference(primitive_enumeration,[status(thm)],[c_0_33])).
0.15/0.47	thf(c_0_38, plain, ![X5:qML_mu, X1:qML_i]:(((incons1905966852QML_mu @ X5 @ X1)|~((inconsistency_G @ X5 @ X1)))), inference(spm,[status(thm)],[c_0_34, c_0_23])).
0.15/0.47	thf(c_0_39, plain, (inconsistency_G @ esk68_0 @ esk70_0), inference(neg_ext,[status(thm)],[c_0_35])).
0.15/0.47	thf(c_0_40, plain, ![X1:qML_i, X5:qML_mu, X4:qML_i]:((~((incons1905966852QML_mu @ X5 @ X1))|~((qML_r @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
0.15/0.47	thf(c_0_41, plain, (incons1905966852QML_mu @ esk68_0 @ esk70_0), inference(spm,[status(thm)],[c_0_38, c_0_39])).
0.15/0.47	thf(c_0_42, plain, ![X5:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((inconsistency_P @ X2 @ X1)|~((inconsistency_G @ X5 @ X1))|~((X2 @ X5 @ X1)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_19])])).
0.15/0.47	thf(c_0_43, plain, ![X1:qML_i]:(~((qML_r @ esk70_0 @ X1))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
0.15/0.47	thf(c_0_44, plain, ![X5:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((qML_r @ X1 @ (esk3_3 @ X2 @ X5 @ X1))|(incons1389517216QML_mu @ X2 @ X5 @ X1))), inference(split_conjunct,[status(thm)],[c_0_29])).
0.15/0.47	thf(c_0_45, plain, ![X2:qML_mu > qML_i > $o]:(((inconsistency_P @ X2 @ esk70_0)|~((X2 @ esk68_0 @ esk70_0)))), inference(spm,[status(thm)],[c_0_42, c_0_39])).
0.15/0.47	thf(c_0_46, plain, ![X2:qML_mu > qML_i > $o, X5:qML_mu]:((incons1389517216QML_mu @ X2 @ X5 @ esk70_0)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
0.15/0.47	thf(c_0_47, plain, ![X3:qML_mu > qML_i > $o, X2:qML_mu > qML_i > $o, X1:qML_i]:(((qML_r @ X1 @ (esk1_3 @ X1 @ X2 @ X3))|(inconsistency_P @ X3 @ X1)|~((inconsistency_P @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_10])).
0.15/0.47	thf(c_0_48, plain, ![X2:qML_mu > qML_i > $o]:((inconsistency_P @ (incons1389517216QML_mu @ X2) @ esk70_0)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
0.15/0.47	thf(c_0_49, plain, ![X2:qML_mu > qML_i > $o]:((inconsistency_P @ X2 @ esk70_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_43])).
0.15/0.47	thf(c_0_50, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_49]), c_0_49])]), ['proof']).
0.15/0.47	# SZS output end CNFRefutation
0.15/0.47	# Parsed axioms                        : 17
0.15/0.47	# Removed by relevancy pruning/SinE    : 0
0.15/0.47	# Initial clauses                      : 28
0.15/0.47	# Removed in clause preprocessing      : 8
0.15/0.47	# Initial clauses in saturation        : 20
0.15/0.47	# Processed clauses                    : 445
0.15/0.47	# ...of these trivial                  : 1
0.15/0.47	# ...subsumed                          : 88
0.15/0.47	# ...remaining for further processing  : 356
0.15/0.47	# Other redundant clauses eliminated   : 44
0.15/0.47	# Clauses deleted for lack of memory   : 0
0.15/0.47	# Backward-subsumed                    : 26
0.15/0.47	# Backward-rewritten                   : 62
0.15/0.47	# Generated clauses                    : 1044
0.15/0.47	# ...of the previous two non-redundant : 870
0.15/0.47	# ...aggressively subsumed             : 0
0.15/0.47	# Contextual simplify-reflections      : 0
0.15/0.47	# Paramodulations                      : 779
0.15/0.47	# Factorizations                       : 0
0.15/0.47	# NegExts                              : 126
0.15/0.47	# Equation resolutions                 : 53
0.15/0.47	# Propositional unsat checks           : 0
0.15/0.47	#    Propositional check models        : 0
0.15/0.47	#    Propositional check unsatisfiable : 0
0.15/0.47	#    Propositional clauses             : 0
0.15/0.47	#    Propositional clauses after purity: 0
0.15/0.47	#    Propositional unsat core size     : 0
0.15/0.47	#    Propositional preprocessing time  : 0.000
0.15/0.47	#    Propositional encoding time       : 0.000
0.15/0.47	#    Propositional solver time         : 0.000
0.15/0.47	#    Success case prop preproc time    : 0.000
0.15/0.47	#    Success case prop encoding time   : 0.000
0.15/0.47	#    Success case prop solver time     : 0.000
0.15/0.47	# Current number of processed clauses  : 229
0.15/0.47	#    Positive orientable unit clauses  : 57
0.15/0.47	#    Positive unorientable unit clauses: 0
0.15/0.47	#    Negative unit clauses             : 36
0.15/0.47	#    Non-unit-clauses                  : 136
0.15/0.47	# Current number of unprocessed clauses: 350
0.15/0.47	# ...number of literals in the above   : 924
0.15/0.47	# Current number of archived formulas  : 0
0.15/0.47	# Current number of archived clauses   : 127
0.15/0.47	# Clause-clause subsumption calls (NU) : 2647
0.15/0.47	# Rec. Clause-clause subsumption calls : 2172
0.15/0.47	# Non-unit clause-clause subsumptions  : 63
0.15/0.47	# Unit Clause-clause subsumption calls : 873
0.15/0.47	# Rewrite failures with RHS unbound    : 0
0.15/0.47	# BW rewrite match attempts            : 288
0.15/0.47	# BW rewrite match successes           : 44
0.15/0.47	# Condensation attempts                : 0
0.15/0.47	# Condensation successes               : 0
0.15/0.47	# Termbank termtop insertions          : 30109
0.15/0.47	
0.15/0.47	# -------------------------------------------------
0.15/0.47	# User time                : 0.037 s
0.15/0.47	# System time              : 0.004 s
0.15/0.47	# Total time               : 0.041 s
0.15/0.47	# Maximum resident set size: 1948 pages
0.15/0.47	
0.15/0.47	# -------------------------------------------------
0.15/0.47	# User time                : 0.145 s
0.15/0.47	# System time              : 0.019 s
0.15/0.47	# Total time               : 0.164 s
0.15/0.47	# Maximum resident set size: 1744 pages
0.15/0.47	EOF