0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.10	% Command    : run_E %s %d THM
0.09/0.30	% Computer : n003.cluster.edu
0.09/0.30	% Model    : x86_64 x86_64
0.09/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory   : 8042.1875MB
0.09/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 960
0.09/0.30	% WCLimit    : 120
0.09/0.30	% DateTime   : Tue Aug  9 07:57:21 EDT 2022
0.09/0.30	% CPUTime    : 
0.14/0.43	Running higher-order on 8 cores theorem proving
0.14/0.43	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
0.14/0.43	# Version: 3.0pre003-ho
0.14/0.49	# Preprocessing class: HSLMSMSSLLLCHSA.
0.14/0.49	# Scheduled 6 strats onto 8 cores with 120 seconds (960 total)
0.14/0.49	# Starting lpo1_fix with 360s (3) cores
0.14/0.49	# Starting full_lambda_9 with 120s (1) cores
0.14/0.49	# Starting almost_fo_4 with 120s (1) cores
0.14/0.49	# Starting new_ho_9 with 120s (1) cores
0.14/0.49	# Starting pre_casc_4 with 120s (1) cores
0.14/0.49	# Starting ho_unfolding_6 with 120s (1) cores
0.14/0.49	# full_lambda_9 with pid 24681 completed with status 0
0.14/0.49	# Result found by full_lambda_9
0.14/0.49	# Preprocessing class: HSLMSMSSLLLCHSA.
0.14/0.49	# Scheduled 6 strats onto 8 cores with 120 seconds (960 total)
0.14/0.49	# Starting lpo1_fix with 360s (3) cores
0.14/0.49	# Starting full_lambda_9 with 120s (1) cores
0.14/0.49	# SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
0.14/0.49	# ...ProofStateSinE()=123/386
0.14/0.49	# Search class: HGHSM-FSLM32-DHSMMSBN
0.14/0.49	# partial match(1): HGHSM-FSLM32-MHSMMSBN
0.14/0.49	# Scheduled 12 strats onto 1 cores with 120 seconds (120 total)
0.14/0.49	# Starting full_lambda_5 with 10s (1) cores
0.14/0.49	# full_lambda_5 with pid 24686 completed with status 0
0.14/0.49	# Result found by full_lambda_5
0.14/0.49	# Preprocessing class: HSLMSMSSLLLCHSA.
0.14/0.49	# Scheduled 6 strats onto 8 cores with 120 seconds (960 total)
0.14/0.49	# Starting lpo1_fix with 360s (3) cores
0.14/0.49	# Starting full_lambda_9 with 120s (1) cores
0.14/0.49	# SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
0.14/0.49	# ...ProofStateSinE()=123/386
0.14/0.49	# Search class: HGHSM-FSLM32-DHSMMSBN
0.14/0.49	# partial match(1): HGHSM-FSLM32-MHSMMSBN
0.14/0.49	# Scheduled 12 strats onto 1 cores with 120 seconds (120 total)
0.14/0.49	# Starting full_lambda_5 with 10s (1) cores
0.14/0.49	# Preprocessing time       : 0.004 s
0.14/0.49	# Presaturation interreduction done
0.14/0.49	
0.14/0.49	# Proof found!
0.14/0.49	# SZS status Theorem
0.14/0.49	# SZS output start CNFRefutation
0.14/0.49	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
0.14/0.49	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
0.14/0.49	thf(decl_24, type, eps: ($i > $o) > $i).
0.14/0.49	thf(decl_25, type, in: $i > $i > $o).
0.14/0.49	thf(decl_26, type, d_Subq: $i > $i > $o).
0.14/0.49	thf(decl_27, type, emptyset: $i).
0.14/0.49	thf(decl_28, type, union: $i > $i).
0.14/0.49	thf(decl_29, type, power: $i > $i).
0.14/0.49	thf(decl_30, type, repl: $i > ($i > $i) > $i).
0.14/0.49	thf(decl_31, type, d_Union_closed: $i > $o).
0.14/0.49	thf(decl_32, type, d_Power_closed: $i > $o).
0.14/0.49	thf(decl_33, type, d_Repl_closed: $i > $o).
0.14/0.49	thf(decl_34, type, d_ZF_closed: $i > $o).
0.14/0.49	thf(decl_35, type, univof: $i > $i).
0.14/0.49	thf(decl_36, type, if: $o > $i > $i > $i).
0.14/0.49	thf(decl_37, type, nIn: $i > $i > $o).
0.14/0.49	thf(decl_38, type, d_UPair: $i > $i > $i).
0.14/0.49	thf(decl_39, type, d_Sing: $i > $i).
0.14/0.49	thf(decl_40, type, binunion: $i > $i > $i).
0.14/0.49	thf(decl_41, type, famunion: $i > ($i > $i) > $i).
0.14/0.49	thf(decl_42, type, d_Sep: $i > ($i > $o) > $i).
0.14/0.49	thf(decl_43, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
0.14/0.49	thf(decl_44, type, setminus: $i > $i > $i).
0.14/0.49	thf(decl_45, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
0.14/0.49	thf(decl_46, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
0.14/0.49	thf(decl_47, type, ordsucc: $i > $i).
0.14/0.49	thf(decl_48, type, nat_p: $i > $o).
0.14/0.49	thf(decl_49, type, omega: $i).
0.14/0.49	thf(decl_50, type, d_Inj1: $i > $i).
0.14/0.49	thf(decl_51, type, d_Inj0: $i > $i).
0.14/0.49	thf(decl_52, type, d_Unj: $i > $i).
0.14/0.49	thf(decl_53, type, pair: $i > $i > $i).
0.14/0.49	thf(decl_54, type, proj0: $i > $i).
0.14/0.49	thf(decl_55, type, proj1: $i > $i).
0.14/0.49	thf(decl_56, type, d_Sigma: $i > ($i > $i) > $i).
0.14/0.49	thf(decl_57, type, setprod: $i > $i > $i).
0.14/0.49	thf(decl_58, type, ap: $i > $i > $i).
0.14/0.49	thf(decl_59, type, pair_p: $i > $o).
0.14/0.49	thf(decl_60, type, d_Pi: $i > ($i > $i) > $i).
0.14/0.49	thf(decl_61, type, imp: $o > $o > $o).
0.14/0.49	thf(decl_62, type, d_not: $o > $o).
0.14/0.49	thf(decl_63, type, wel: $o > $o).
0.14/0.49	thf(decl_64, type, obvious: $o).
0.14/0.49	thf(decl_65, type, l_ec: $o > $o > $o).
0.14/0.49	thf(decl_66, type, d_and: $o > $o > $o).
0.14/0.49	thf(decl_67, type, l_or: $o > $o > $o).
0.14/0.49	thf(decl_68, type, orec: $o > $o > $o).
0.14/0.49	thf(decl_69, type, l_iff: $o > $o > $o).
0.14/0.49	thf(decl_70, type, all: $i > ($i > $o) > $o).
0.14/0.49	thf(decl_71, type, non: $i > ($i > $o) > $i > $o).
0.14/0.49	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
0.14/0.49	thf(decl_73, type, or3: $o > $o > $o > $o).
0.14/0.49	thf(decl_74, type, and3: $o > $o > $o > $o).
0.14/0.49	thf(decl_75, type, ec3: $o > $o > $o > $o).
0.14/0.49	thf(decl_76, type, orec3: $o > $o > $o > $o).
0.14/0.49	thf(decl_77, type, e_is: $i > $i > $i > $o).
0.14/0.49	thf(decl_78, type, amone: $i > ($i > $o) > $o).
0.14/0.49	thf(decl_79, type, one: $i > ($i > $o) > $o).
0.14/0.49	thf(decl_80, type, ind: $i > ($i > $o) > $i).
0.14/0.49	thf(decl_81, type, injective: $i > $i > $i > $o).
0.14/0.49	thf(decl_82, type, image: $i > $i > $i > $i > $o).
0.14/0.49	thf(decl_83, type, tofs: $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_84, type, soft: $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_85, type, inverse: $i > $i > $i > $i).
0.14/0.49	thf(decl_86, type, surjective: $i > $i > $i > $o).
0.14/0.49	thf(decl_87, type, bijective: $i > $i > $i > $o).
0.14/0.49	thf(decl_88, type, invf: $i > $i > $i > $i).
0.14/0.49	thf(decl_89, type, inj_h: $i > $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_90, type, e_in: $i > ($i > $o) > $i > $i).
0.14/0.49	thf(decl_91, type, out: $i > ($i > $o) > $i > $i).
0.14/0.49	thf(decl_92, type, d_pair: $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_93, type, first: $i > $i > $i > $i).
0.14/0.49	thf(decl_94, type, second: $i > $i > $i > $i).
0.14/0.49	thf(decl_95, type, prop1: $o > $i > $i > $i > $i > $o).
0.14/0.49	thf(decl_96, type, ite: $o > $i > $i > $i > $i).
0.14/0.49	thf(decl_97, type, wissel_wa: $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_98, type, wissel_wb: $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_99, type, wissel: $i > $i > $i > $i).
0.14/0.49	thf(decl_100, type, changef: $i > $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_101, type, r_ec: $o > $o > $o).
0.14/0.49	thf(decl_102, type, esti: $i > $i > $i > $o).
0.14/0.49	thf(decl_103, type, empty: $i > $i > $o).
0.14/0.49	thf(decl_104, type, nonempty: $i > $i > $o).
0.14/0.49	thf(decl_105, type, incl: $i > $i > $i > $o).
0.14/0.49	thf(decl_106, type, st_disj: $i > $i > $i > $o).
0.14/0.49	thf(decl_107, type, nissetprop: $i > $i > $i > $i > $o).
0.14/0.49	thf(decl_108, type, unmore: $i > $i > $i > $i).
0.14/0.49	thf(decl_109, type, ecelt: $i > ($i > $i > $o) > $i > $i).
0.14/0.49	thf(decl_110, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
0.14/0.49	thf(decl_111, type, anec: $i > ($i > $i > $o) > $i > $o).
0.14/0.49	thf(decl_112, type, ect: $i > ($i > $i > $o) > $i).
0.14/0.49	thf(decl_113, type, ectset: $i > ($i > $i > $o) > $i > $i).
0.14/0.49	thf(decl_114, type, ectelt: $i > ($i > $i > $o) > $i > $i).
0.14/0.49	thf(decl_115, type, ecect: $i > ($i > $i > $o) > $i > $i).
0.14/0.49	thf(decl_116, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
0.14/0.49	thf(decl_117, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
0.14/0.49	thf(decl_118, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
0.14/0.49	thf(decl_119, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.14/0.49	thf(decl_120, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
0.14/0.49	thf(decl_121, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.14/0.49	thf(decl_122, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
0.14/0.49	thf(decl_123, type, nat: $i).
0.14/0.49	thf(decl_124, type, n_is: $i > $i > $o).
0.14/0.49	thf(decl_125, type, nis: $i > $i > $o).
0.14/0.49	thf(decl_126, type, n_in: $i > $i > $o).
0.14/0.49	thf(decl_127, type, n_some: ($i > $o) > $o).
0.14/0.49	thf(decl_128, type, n_all: ($i > $o) > $o).
0.14/0.49	thf(decl_129, type, n_one: ($i > $o) > $o).
0.14/0.49	thf(decl_130, type, n_1: $i).
0.14/0.49	thf(decl_131, type, cond1: $i > $o).
0.14/0.49	thf(decl_132, type, cond2: $i > $o).
0.14/0.49	thf(decl_133, type, i1_s: ($i > $o) > $i).
0.14/0.49	thf(decl_134, type, d_22_prop1: $i > $o).
0.14/0.49	thf(decl_135, type, d_23_prop1: $i > $o).
0.14/0.49	thf(decl_136, type, d_24_prop1: $i > $o).
0.14/0.49	thf(decl_137, type, d_24_prop2: $i > $i > $o).
0.14/0.49	thf(decl_138, type, prop3: $i > $i > $i > $o).
0.14/0.49	thf(decl_139, type, prop4: $i > $o).
0.14/0.49	thf(decl_140, type, d_24_g: $i > $i).
0.14/0.50	thf(decl_141, type, plus: $i > $i).
0.14/0.50	thf(decl_142, type, n_pl: $i > $i > $i).
0.14/0.50	thf(decl_143, type, d_25_prop1: $i > $i > $i > $o).
0.14/0.50	thf(decl_144, type, d_26_prop1: $i > $i > $o).
0.14/0.50	thf(decl_145, type, d_27_prop1: $i > $i > $o).
0.14/0.50	thf(decl_146, type, d_28_prop1: $i > $i > $i > $o).
0.14/0.50	thf(decl_147, type, diffprop: $i > $i > $i > $o).
0.14/0.50	thf(decl_148, type, d_29_ii: $i > $i > $o).
0.14/0.50	thf(decl_149, type, iii: $i > $i > $o).
0.14/0.50	thf(decl_150, type, d_29_prop1: $i > $i > $o).
0.14/0.50	thf(decl_151, type, moreis: $i > $i > $o).
0.14/0.50	thf(decl_152, type, lessis: $i > $i > $o).
0.14/0.50	thf(decl_153, type, epred1_2: $i > $i > $o).
0.14/0.50	thf(decl_154, type, epred2_2: $i > $i > $o).
0.14/0.50	thf(decl_155, type, esk1_0: $i).
0.14/0.50	thf(decl_156, type, esk2_0: $i).
0.14/0.50	thf(decl_157, type, esk3_0: $i).
0.14/0.50	thf(decl_158, type, esk4_1: ($i > $o) > $i).
0.14/0.50	thf(decl_159, type, esk5_4: $i > $i > $i > $i > $i).
0.14/0.50	thf(decl_160, type, esk6_1: ($i > $o) > $i).
0.14/0.50	thf(decl_161, type, esk7_1: ($i > $o) > $i).
0.14/0.50	thf(decl_162, type, esk8_2: ($i > $o) > ($i > $o) > $i).
0.14/0.50	thf(decl_163, type, epred3_2: ($i > $o) > $i > $i > $o).
0.14/0.50	thf(decl_164, type, epred4_1: $i > $i > $o).
0.14/0.50	thf(decl_165, type, esk9_1: $i > $i).
0.14/0.50	thf(decl_166, type, esk10_2: $i > ($i > $o) > $i).
0.14/0.50	thf(decl_167, type, esk11_4: $i > ($i > $i) > $i > $i > $i).
0.14/0.50	thf(decl_168, type, esk12_3: $i > ($i > $i) > ($i > $i) > $i).
0.14/0.50	thf(decl_169, type, epred5_1: $i > $i > $o).
0.14/0.50	thf(decl_170, type, esk13_0: $i > $i).
0.14/0.50	thf(decl_171, type, epred6_0: $i > $i > $o).
0.14/0.50	thf(decl_172, type, epred7_1: $i > $i > $o).
0.14/0.50	thf(decl_173, type, esk14_1: $i > $i > $i).
0.14/0.50	thf(decl_174, type, epred8_2: $i > $i > $i > $o).
0.14/0.50	thf(decl_175, type, esk15_1: $i > $i).
0.14/0.50	thf(decl_176, type, esk16_1: $i > $i).
0.14/0.50	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_d_29_ii)).
0.14/0.50	thf(def_all_of, axiom, ((all_of)=(^[X3:$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)).
0.14/0.50	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)).
0.14/0.50	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)).
0.14/0.50	thf(def_n_some, axiom, ((n_some)=(l_some @ nat)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)).
0.14/0.50	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)).
0.14/0.50	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_iii)).
0.14/0.50	thf(satz20d, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X299:$i]:((in @ X299 @ nat))) @ (^[X300:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:(((d_29_ii @ X1 @ X300)<=(d_29_ii @ (n_pl @ X4 @ X1) @ (n_pl @ X4 @ X300)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz20d)).
0.14/0.50	thf(satz6, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X231:$i]:((in @ X231 @ nat))) @ (^[X232:$i]:((n_is @ (n_pl @ X1 @ X232) @ (n_pl @ X232 @ X1)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz6)).
0.14/0.50	thf(satz20c, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X297:$i]:((in @ X297 @ nat))) @ (^[X298:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:(((iii @ (n_pl @ X1 @ X4) @ (n_pl @ X298 @ X4))=>(iii @ X1 @ X298))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz20c)).
0.14/0.50	thf(c_0_10, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.14/0.50	thf(c_0_11, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.14/0.50	thf(c_0_12, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.14/0.50	thf(c_0_13, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.14/0.50	thf(c_0_14, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z0 @ Z1))))), inference(apply_def,[status(thm)],[c_0_10, def_n_some])).
0.14/0.50	thf(c_0_15, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_11, c_0_12])).
0.14/0.50	thf(c_0_16, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_13])).
0.14/0.50	thf(c_0_17, plain, ((iii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])).
0.14/0.50	thf(c_0_18, negated_conjecture, ~(![X372:$i]:(((in @ X372 @ nat)=>![X371:$i]:(((in @ X371 @ nat)=>![X370:$i]:(((in @ X370 @ nat)=>((l_some @ nat @ (diffprop @ (n_pl @ X370 @ X372) @ (n_pl @ X370 @ X371)))=>(l_some @ nat @ (diffprop @ X372 @ X371)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz20d])]), c_0_14]), c_0_15])])).
0.14/0.50	thf(c_0_19, plain, ![X387:$i]:(((in @ X387 @ nat)=>![X386:$i]:(((in @ X386 @ nat)=>((n_pl @ X387 @ X386)=(n_pl @ X386 @ X387)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz6]), c_0_15]), c_0_16])).
0.14/0.50	thf(c_0_20, plain, ((iii)=(^[Z0:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z1 @ Z0))))), inference(apply_def,[status(thm)],[c_0_17, def_n_some])).
0.14/0.50	thf(c_0_21, negated_conjecture, ((in @ esk1_0 @ nat)&((in @ esk2_0 @ nat)&((in @ esk3_0 @ nat)&((l_some @ nat @ (diffprop @ (n_pl @ esk3_0 @ esk1_0) @ (n_pl @ esk3_0 @ esk2_0)))&~(l_some @ nat @ (diffprop @ esk1_0 @ esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
0.14/0.50	thf(c_0_22, plain, ![X555:$i, X556:$i]:((~(in @ X555 @ nat)|(~(in @ X556 @ nat)|((n_pl @ X555 @ X556)=(n_pl @ X556 @ X555))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
0.14/0.50	thf(c_0_23, plain, ![X476:$i]:(((in @ X476 @ nat)=>![X475:$i]:(((in @ X475 @ nat)=>![X474:$i]:(((in @ X474 @ nat)=>((l_some @ nat @ (diffprop @ (n_pl @ X475 @ X474) @ (n_pl @ X476 @ X474)))=>(l_some @ nat @ (diffprop @ X475 @ X476))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz20c]), c_0_20]), c_0_15])).
0.14/0.50	thf(c_0_24, negated_conjecture, (l_some @ nat @ (diffprop @ (n_pl @ esk3_0 @ esk1_0) @ (n_pl @ esk3_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_21])).
0.14/0.50	thf(c_0_25, plain, ![X1:$i, X4:$i]:((((n_pl @ X1 @ X4)=(n_pl @ X4 @ X1))|~((in @ X1 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_22])).
0.14/0.50	thf(c_0_26, negated_conjecture, (in @ esk3_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_21])).
0.14/0.50	thf(c_0_27, negated_conjecture, (in @ esk2_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_21])).
0.14/0.50	thf(c_0_28, plain, ![X639:$i, X640:$i, X641:$i]:((~(in @ X639 @ nat)|(~(in @ X640 @ nat)|(~(in @ X641 @ nat)|(~(l_some @ nat @ (diffprop @ (n_pl @ X640 @ X641) @ (n_pl @ X639 @ X641)))|(l_some @ nat @ (diffprop @ X640 @ X639))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
0.14/0.50	thf(c_0_29, negated_conjecture, (l_some @ nat @ (diffprop @ (n_pl @ esk3_0 @ esk1_0) @ (n_pl @ esk2_0 @ esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_27])])).
0.14/0.50	thf(c_0_30, negated_conjecture, (in @ esk1_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_21])).
0.14/0.50	thf(c_0_31, plain, ![X1:$i, X4:$i, X5:$i]:(((l_some @ nat @ (diffprop @ X4 @ X1))|~((in @ X1 @ nat))|~((in @ X4 @ nat))|~((in @ X5 @ nat))|~((l_some @ nat @ (diffprop @ (n_pl @ X4 @ X5) @ (n_pl @ X1 @ X5)))))), inference(split_conjunct,[status(thm)],[c_0_28])).
0.14/0.50	thf(c_0_32, negated_conjecture, (l_some @ nat @ (diffprop @ (n_pl @ esk1_0 @ esk3_0) @ (n_pl @ esk2_0 @ esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_25]), c_0_30]), c_0_26])])).
0.14/0.50	thf(c_0_33, negated_conjecture, ~((l_some @ nat @ (diffprop @ esk1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_21])).
0.14/0.50	thf(c_0_34, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_26]), c_0_30]), c_0_27])]), c_0_33]), ['proof']).
0.14/0.50	# SZS output end CNFRefutation
0.14/0.50	# Parsed axioms                        : 386
0.14/0.50	# Removed by relevancy pruning/SinE    : 263
0.14/0.50	# Initial clauses                      : 216
0.14/0.50	# Removed in clause preprocessing      : 58
0.14/0.50	# Initial clauses in saturation        : 158
0.14/0.50	# Processed clauses                    : 303
0.14/0.50	# ...of these trivial                  : 10
0.14/0.50	# ...subsumed                          : 64
0.14/0.50	# ...remaining for further processing  : 229
0.14/0.50	# Other redundant clauses eliminated   : 20
0.14/0.50	# Clauses deleted for lack of memory   : 0
0.14/0.50	# Backward-subsumed                    : 0
0.14/0.50	# Backward-rewritten                   : 0
0.14/0.50	# Generated clauses                    : 416
0.14/0.50	# ...of the previous two non-redundant : 394
0.14/0.50	# ...aggressively subsumed             : 0
0.14/0.50	# Contextual simplify-reflections      : 1
0.14/0.50	# Paramodulations                      : 302
0.14/0.50	# Factorizations                       : 2
0.14/0.50	# NegExts                              : 2
0.14/0.50	# Equation resolutions                 : 24
0.14/0.50	# Propositional unsat checks           : 0
0.14/0.50	#    Propositional check models        : 0
0.14/0.50	#    Propositional check unsatisfiable : 0
0.14/0.50	#    Propositional clauses             : 0
0.14/0.50	#    Propositional clauses after purity: 0
0.14/0.50	#    Propositional unsat core size     : 0
0.14/0.50	#    Propositional preprocessing time  : 0.000
0.14/0.50	#    Propositional encoding time       : 0.000
0.14/0.50	#    Propositional solver time         : 0.000
0.14/0.50	#    Success case prop preproc time    : 0.000
0.14/0.50	#    Success case prop encoding time   : 0.000
0.14/0.50	#    Success case prop solver time     : 0.000
0.14/0.50	# Current number of processed clauses  : 110
0.14/0.50	#    Positive orientable unit clauses  : 22
0.14/0.50	#    Positive unorientable unit clauses: 0
0.14/0.50	#    Negative unit clauses             : 7
0.14/0.50	#    Non-unit-clauses                  : 81
0.14/0.50	# Current number of unprocessed clauses: 335
0.14/0.50	# ...number of literals in the above   : 1382
0.14/0.50	# Current number of archived formulas  : 0
0.14/0.50	# Current number of archived clauses   : 107
0.14/0.50	# Clause-clause subsumption calls (NU) : 2837
0.14/0.50	# Rec. Clause-clause subsumption calls : 821
0.14/0.50	# Non-unit clause-clause subsumptions  : 62
0.14/0.50	# Unit Clause-clause subsumption calls : 30
0.14/0.50	# Rewrite failures with RHS unbound    : 0
0.14/0.50	# BW rewrite match attempts            : 13
0.14/0.50	# BW rewrite match successes           : 0
0.14/0.50	# Condensation attempts                : 0
0.14/0.50	# Condensation successes               : 0
0.14/0.50	# Termbank termtop insertions          : 46042
0.14/0.50	
0.14/0.50	# -------------------------------------------------
0.14/0.50	# User time                : 0.052 s
0.14/0.50	# System time              : 0.005 s
0.14/0.50	# Total time               : 0.057 s
0.14/0.50	# Maximum resident set size: 4532 pages
0.14/0.50	
0.14/0.50	# -------------------------------------------------
0.14/0.50	# User time                : 0.060 s
0.14/0.50	# System time              : 0.009 s
0.14/0.50	# Total time               : 0.069 s
0.14/0.50	# Maximum resident set size: 2348 pages
0.14/0.50	EOF