0.03/0.11 % Problem : SLH382^1 : TPTP v7.5.0. Released v7.5.0. 0.03/0.13 % Command : run_E %s %d THM 0.12/0.34 % Computer : n015.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 30 0.12/0.34 % WCLimit : 30 0.12/0.34 % DateTime : Tue Aug 9 03:04:26 EDT 2022 0.12/0.34 % CPUTime : 0.18/0.47 The problem SPC is TH0_THM_EQU_NAR 0.18/0.47 Running higher-order on 1 cores theorem proving 0.18/0.47 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=1 --cpu-limit=30 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.18/0.47 # Version: 3.0pre003-ho 1.79/2.00 # Preprocessing class: HSLSSMSSSSSNHFA. 1.79/2.00 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.79/2.00 # Starting new_ho_10 with 30s (1) cores 1.79/2.00 # new_ho_10 with pid 11539 completed with status 0 1.79/2.00 # Result found by new_ho_10 1.79/2.00 # Preprocessing class: HSLSSMSSSSSNHFA. 1.79/2.00 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.79/2.00 # Starting new_ho_10 with 30s (1) cores 1.79/2.00 # No SInE strategy applied 1.79/2.00 # Search class: HGHSM-FSLM32-MHFFFSBC 1.79/2.00 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 1.79/2.00 # Starting additional_ho_6 with 17s (1) cores 1.79/2.00 # additional_ho_6 with pid 11540 completed with status 0 1.79/2.00 # Result found by additional_ho_6 1.79/2.00 # Preprocessing class: HSLSSMSSSSSNHFA. 1.79/2.00 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 1.79/2.00 # Starting new_ho_10 with 30s (1) cores 1.79/2.00 # No SInE strategy applied 1.79/2.00 # Search class: HGHSM-FSLM32-MHFFFSBC 1.79/2.00 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 1.79/2.00 # Starting additional_ho_6 with 17s (1) cores 1.79/2.00 # Preprocessing time : 0.011 s 1.79/2.00 # Presaturation interreduction done 1.79/2.00 1.79/2.00 # Proof found! 1.79/2.00 # SZS status Theorem 1.79/2.00 # SZS output start CNFRefutation 1.79/2.00 thf(decl_22, type, semiri688227102ct_int: nat > int). 1.79/2.00 thf(decl_23, type, semiri50953410ct_nat: nat > nat). 1.79/2.00 thf(decl_24, type, one_one_int: int). 1.79/2.00 thf(decl_25, type, one_one_nat: nat). 1.79/2.00 thf(decl_26, type, zero_zero_int: int). 1.79/2.00 thf(decl_27, type, zero_zero_nat: nat). 1.79/2.00 thf(decl_28, type, liouvi1159869758uville: real > (nat > int) > (nat > int) > $o). 1.79/2.00 thf(decl_29, type, suc: nat > nat). 1.79/2.00 thf(decl_30, type, ord_less_int: int > int > $o). 1.79/2.00 thf(decl_31, type, ord_less_nat: nat > nat > $o). 1.79/2.00 thf(decl_32, type, ord_less_eq_int: int > int > $o). 1.79/2.00 thf(decl_33, type, ord_less_eq_nat: nat > nat > $o). 1.79/2.00 thf(decl_34, type, power_power_int: int > nat > int). 1.79/2.00 thf(decl_35, type, power_power_nat: nat > nat > nat). 1.79/2.00 thf(decl_36, type, b: nat > int). 1.79/2.00 thf(decl_37, type, n: nat). 1.79/2.00 thf(decl_38, type, q: int). 1.79/2.00 thf(decl_39, type, esk1_3: nat > nat > (nat > $o) > nat). 1.79/2.00 thf(decl_40, type, esk2_3: nat > nat > (nat > $o) > nat). 1.79/2.00 thf(decl_41, type, esk3_2: (nat > $o) > nat > nat). 1.79/2.00 thf(decl_42, type, esk4_1: (nat > $o) > nat). 1.79/2.00 thf(decl_43, type, esk5_1: (nat > nat) > nat). 1.79/2.00 thf(decl_44, type, esk6_1: (nat > nat) > nat). 1.79/2.00 thf(decl_45, type, esk7_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_46, type, esk8_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_47, type, esk9_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_48, type, esk10_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_49, type, esk11_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_50, type, esk12_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_51, type, esk13_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_52, type, esk14_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_53, type, esk15_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_54, type, esk16_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_55, type, esk17_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_56, type, esk18_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_57, type, esk19_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_58, type, esk20_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_59, type, esk21_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_60, type, esk22_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_61, type, esk23_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_62, type, esk24_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_63, type, esk25_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_64, type, esk26_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_65, type, esk27_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_66, type, esk28_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_67, type, esk29_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_68, type, esk30_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_69, type, esk31_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_70, type, esk32_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_71, type, esk33_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_72, type, esk34_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_73, type, esk35_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_74, type, esk36_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_75, type, esk37_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_76, type, esk38_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_77, type, esk39_1: int > int). 1.79/2.00 thf(decl_78, type, esk40_1: int > int). 1.79/2.00 thf(decl_79, type, esk41_1: nat > nat). 1.79/2.00 thf(decl_80, type, esk42_1: (nat > $o) > nat). 1.79/2.00 thf(decl_81, type, esk43_1: (nat > $o) > nat). 1.79/2.00 thf(decl_82, type, esk44_2: (nat > $o) > nat > nat). 1.79/2.00 thf(decl_83, type, esk45_1: (nat > $o) > nat). 1.79/2.00 thf(decl_84, type, esk46_1: (int > int > $o) > int). 1.79/2.00 thf(decl_85, type, esk47_1: (int > int > $o) > int). 1.79/2.00 thf(decl_86, type, esk48_1: (int > int > $o) > int). 1.79/2.00 thf(decl_87, type, esk49_1: (int > int > $o) > int). 1.79/2.00 thf(decl_88, type, esk50_1: (int > int > $o) > int). 1.79/2.00 thf(decl_89, type, esk51_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_90, type, esk52_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_91, type, esk53_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_92, type, esk54_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_93, type, esk55_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_94, type, esk56_1: (nat > int) > nat). 1.79/2.00 thf(decl_95, type, esk57_1: (nat > nat) > nat). 1.79/2.00 thf(decl_96, type, esk58_1: (nat > int) > nat). 1.79/2.00 thf(decl_97, type, esk59_1: (nat > nat) > nat). 1.79/2.00 thf(decl_98, type, esk60_3: nat > nat > (nat > $o) > nat). 1.79/2.00 thf(decl_99, type, esk61_3: nat > nat > (nat > $o) > nat). 1.79/2.00 thf(decl_100, type, esk62_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_101, type, esk63_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_102, type, esk64_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_103, type, esk65_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_104, type, esk66_2: nat > nat > nat). 1.79/2.00 thf(decl_105, type, esk67_2: nat > (nat > $o) > nat). 1.79/2.00 thf(decl_106, type, esk68_2: nat > (nat > $o) > nat). 1.79/2.00 thf(decl_107, type, esk69_2: nat > (nat > $o) > nat). 1.79/2.00 thf(decl_108, type, esk70_2: nat > (nat > $o) > nat). 1.79/2.00 thf(decl_109, type, esk71_2: nat > nat > nat). 1.79/2.00 thf(decl_110, type, esk72_2: nat > nat > nat). 1.79/2.00 thf(decl_111, type, esk73_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_112, type, esk74_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_113, type, esk75_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_114, type, esk76_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_115, type, esk77_3: nat > nat > (nat > nat > $o) > nat). 1.79/2.00 thf(decl_116, type, esk78_3: nat > nat > (nat > $o) > nat). 1.79/2.00 thf(decl_117, type, esk79_1: (nat > $o) > nat). 1.79/2.00 thf(decl_118, type, esk80_2: nat > nat > nat). 1.79/2.00 thf(decl_119, type, esk81_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_120, type, esk82_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_121, type, esk83_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_122, type, esk84_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_123, type, esk85_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_124, type, esk86_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_125, type, esk87_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_126, type, esk88_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_127, type, esk89_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_128, type, esk90_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_129, type, esk91_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_130, type, esk92_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_131, type, esk93_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_132, type, esk94_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_133, type, esk95_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_134, type, esk96_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_135, type, esk97_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_136, type, esk98_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_137, type, esk99_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_138, type, esk100_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_139, type, esk101_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_140, type, esk102_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_141, type, esk103_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_142, type, esk104_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_143, type, esk105_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_144, type, esk106_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_145, type, esk107_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_146, type, esk108_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_147, type, esk109_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_148, type, esk110_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_149, type, esk111_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_150, type, esk112_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_151, type, esk113_1: (int > int > $o) > int). 1.79/2.00 thf(decl_152, type, esk114_1: (int > int > $o) > int). 1.79/2.00 thf(decl_153, type, esk115_1: (int > int > $o) > int). 1.79/2.00 thf(decl_154, type, esk116_1: (int > int > $o) > int). 1.79/2.00 thf(decl_155, type, esk117_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_156, type, esk118_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_157, type, esk119_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_158, type, esk120_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_159, type, esk121_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_160, type, esk122_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_161, type, esk123_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_162, type, esk124_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_163, type, esk125_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_164, type, esk126_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_165, type, esk127_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_166, type, esk128_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_167, type, esk129_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_168, type, esk130_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_169, type, esk131_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_170, type, esk132_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_171, type, esk133_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_172, type, esk134_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_173, type, esk135_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_174, type, esk136_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_175, type, esk137_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_176, type, esk138_4: int > int > (int > int) > int > int). 1.79/2.00 thf(decl_177, type, esk139_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_178, type, esk140_4: int > int > (int > nat) > nat > int). 1.79/2.00 thf(decl_179, type, esk141_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_180, type, esk142_4: nat > nat > (nat > int) > int > nat). 1.79/2.00 thf(decl_181, type, esk143_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_182, type, esk144_4: nat > nat > (nat > nat) > nat > nat). 1.79/2.00 thf(decl_183, type, esk145_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_184, type, esk146_4: int > (int > int) > int > int > int). 1.79/2.00 thf(decl_185, type, esk147_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_186, type, esk148_4: int > (nat > int) > nat > nat > nat). 1.79/2.00 thf(decl_187, type, esk149_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_188, type, esk150_4: nat > (int > nat) > int > int > int). 1.79/2.00 thf(decl_189, type, esk151_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_190, type, esk152_4: nat > (nat > nat) > nat > nat > nat). 1.79/2.00 thf(decl_191, type, esk153_1: (nat > int) > nat). 1.79/2.00 thf(decl_192, type, esk154_1: (nat > nat) > nat). 1.79/2.00 thf(decl_193, type, esk155_1: (nat > int) > nat). 1.79/2.00 thf(decl_194, type, esk156_1: (nat > nat) > nat). 1.79/2.00 thf(decl_195, type, esk157_3: int > int > (int > $o) > int). 1.79/2.00 thf(decl_196, type, esk158_4: int > int > (int > $o) > int > int). 1.79/2.00 thf(decl_197, type, esk159_3: nat > nat > (nat > $o) > nat). 1.79/2.00 thf(decl_198, type, esk160_4: nat > nat > (nat > $o) > nat > nat). 1.79/2.00 thf(decl_199, type, esk161_1: int > int). 1.79/2.00 thf(decl_200, type, esk162_1: nat > nat). 1.79/2.00 thf(decl_201, type, esk163_1: nat > nat). 1.79/2.00 thf(decl_202, type, esk164_1: (nat > $o) > nat). 1.79/2.00 thf(decl_203, type, esk165_1: (nat > $o) > nat). 1.79/2.00 thf(decl_204, type, esk166_1: (nat > $o) > nat). 1.79/2.00 thf(decl_205, type, esk167_1: (nat > $o) > nat). 1.79/2.00 thf(decl_206, type, esk168_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_207, type, esk169_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_208, type, esk170_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_209, type, esk171_1: (nat > nat > $o) > nat). 1.79/2.00 thf(decl_210, type, esk172_1: (nat > $o) > nat). 1.79/2.00 thf(fact_135_not__less__eq, axiom, ![X19:nat, X4:nat]:((~((ord_less_nat @ X19 @ X4))<=>(ord_less_nat @ X4 @ (suc @ X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_135_not__less__eq)). 1.79/2.00 thf(fact_310_nat__power__eq__Suc__0__iff, axiom, ![X432:nat, X19:nat]:((((power_power_nat @ X432 @ X19)=(suc @ zero_zero_nat))<=>(((X19)=(zero_zero_nat))|((X432)=(suc @ zero_zero_nat))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_310_nat__power__eq__Suc__0__iff)). 1.79/2.00 thf(fact_318_zero__less__Suc, axiom, ![X4:nat]:((ord_less_nat @ zero_zero_nat @ (suc @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_318_zero__less__Suc)). 1.79/2.00 thf(fact_8_power__one, axiom, ![X4:nat]:(((power_power_nat @ one_one_nat @ X4)=(one_one_nat))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8_power__one)). 1.79/2.00 thf(fact_183_not__le__imp__less, axiom, ![X16:nat, X208:nat]:((~((ord_less_eq_nat @ X16 @ X208))=>(ord_less_nat @ X208 @ X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_183_not__le__imp__less)). 1.79/2.00 thf(fact_36_le__antisym, axiom, ![X19:nat, X4:nat]:(((ord_less_eq_nat @ X19 @ X4)=>((ord_less_eq_nat @ X4 @ X19)=>((X19)=(X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_36_le__antisym)). 1.79/2.00 thf(fact_147_not__less__eq__eq, axiom, ![X19:nat, X4:nat]:((~((ord_less_eq_nat @ X19 @ X4))<=>(ord_less_eq_nat @ (suc @ X4) @ X19))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_147_not__less__eq__eq)). 1.79/2.00 thf(conj_0, conjecture, (ord_less_eq_int @ (power_power_int @ q @ one_one_nat) @ (power_power_int @ q @ (semiri50953410ct_nat @ (suc @ n)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 1.79/2.00 thf(fact_5_power__one__right, axiom, ![X2:int]:(((power_power_int @ X2 @ one_one_nat)=(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5_power__one__right)). 1.79/2.00 thf(fact_1_b__def, axiom, ((b)=(^[X1:nat]:(power_power_int @ q @ (semiri50953410ct_nat @ (suc @ X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_b__def)). 1.79/2.00 thf(fact_4_fact__1, axiom, ((semiri50953410ct_nat @ one_one_nat)=(one_one_nat)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_4_fact__1)). 1.79/2.00 thf(fact_17_order__refl, axiom, ![X12:int]:((ord_less_eq_int @ X12 @ X12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_17_order__refl)). 1.79/2.00 thf(fact_171_dual__order_Ostrict__trans2, axiom, ![X191:nat, X192:nat, X193:nat]:(((ord_less_nat @ X191 @ X192)=>((ord_less_eq_nat @ X193 @ X191)=>(ord_less_nat @ X193 @ X192)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_171_dual__order_Ostrict__trans2)). 1.79/2.00 thf(fact_32_Suc__le__eq, axiom, ![X19:nat, X4:nat]:(((ord_less_eq_nat @ (suc @ X19) @ X4)<=>(ord_less_nat @ X19 @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_32_Suc__le__eq)). 1.79/2.00 thf(fact_155_fact__ge__self, axiom, ![X4:nat]:((ord_less_eq_nat @ X4 @ (semiri50953410ct_nat @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_155_fact__ge__self)). 1.79/2.00 thf(fact_162_dual__order_Ostrict__implies__order, axiom, ![X14:int, X2:int]:(((ord_less_int @ X14 @ X2)=>(ord_less_eq_int @ X14 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_162_dual__order_Ostrict__implies__order)). 1.79/2.00 thf(fact_13_power__increasing, axiom, ![X4:nat, X6:nat, X2:int]:(((ord_less_eq_nat @ X4 @ X6)=>((ord_less_eq_int @ one_one_int @ X2)=>(ord_less_eq_int @ (power_power_int @ X2 @ X4) @ (power_power_int @ X2 @ X6))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_13_power__increasing)). 1.79/2.00 thf(fact_0_assms_I1_J, axiom, (ord_less_int @ one_one_int @ q), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_assms_I1_J)). 1.79/2.00 thf(fact_29_Suc__leI, axiom, ![X19:nat, X4:nat]:(((ord_less_nat @ X19 @ X4)=>(ord_less_eq_nat @ (suc @ X19) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_29_Suc__leI)). 1.79/2.00 thf(fact_150_Suc__le__D, axiom, ![X4:nat, X175:nat]:(((ord_less_eq_nat @ (suc @ X4) @ X175)=>?[X176:nat]:(((X175)=(suc @ X176))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_150_Suc__le__D)). 1.79/2.00 thf(c_0_20, plain, ![X19:nat, X4:nat]:((~(ord_less_nat @ X19 @ X4)<=>(ord_less_nat @ X4 @ (suc @ X19)))), inference(fof_simplification,[status(thm)],[fact_135_not__less__eq])). 1.79/2.00 thf(c_0_21, plain, ![X2377:nat, X2378:nat]:(((((power_power_nat @ X2377 @ X2378)!=(suc @ zero_zero_nat))|(((X2378)=(zero_zero_nat))|((X2377)=(suc @ zero_zero_nat))))&((((X2378)!=(zero_zero_nat))|((power_power_nat @ X2377 @ X2378)=(suc @ zero_zero_nat)))&(((X2377)!=(suc @ zero_zero_nat))|((power_power_nat @ X2377 @ X2378)=(suc @ zero_zero_nat)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_310_nat__power__eq__Suc__0__iff])])])). 1.79/2.00 thf(c_0_22, plain, ![X1830:nat, X1831:nat]:((((ord_less_nat @ X1830 @ X1831)|(ord_less_nat @ X1831 @ (suc @ X1830)))&(~(ord_less_nat @ X1831 @ (suc @ X1830))|~(ord_less_nat @ X1830 @ X1831)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])). 1.79/2.00 thf(c_0_23, plain, ![X2387:nat]:((ord_less_nat @ zero_zero_nat @ (suc @ X2387))), inference(variable_rename,[status(thm)],[fact_318_zero__less__Suc])). 1.79/2.00 thf(c_0_24, plain, ![X1441:nat]:(((power_power_nat @ one_one_nat @ X1441)=(one_one_nat))), inference(variable_rename,[status(thm)],[fact_8_power__one])). 1.79/2.00 thf(c_0_25, plain, ![X3:nat, X1:nat]:((((power_power_nat @ X3 @ X1)=(suc @ zero_zero_nat))|((X1)!=(zero_zero_nat)))), inference(split_conjunct,[status(thm)],[c_0_21])). 1.79/2.00 thf(c_0_26, plain, ![X3:nat, X1:nat]:((~((ord_less_nat @ X1 @ (suc @ X3)))|~((ord_less_nat @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_22])). 1.79/2.00 thf(c_0_27, plain, ![X1:nat]:((ord_less_nat @ zero_zero_nat @ (suc @ X1))), inference(split_conjunct,[status(thm)],[c_0_23])). 1.79/2.00 thf(c_0_28, plain, ![X1:nat]:(((power_power_nat @ one_one_nat @ X1)=(one_one_nat))), inference(split_conjunct,[status(thm)],[c_0_24])). 1.79/2.00 thf(c_0_29, plain, ![X1:nat]:(((power_power_nat @ X1 @ zero_zero_nat)=(suc @ zero_zero_nat))), inference(er,[status(thm)],[c_0_25])). 1.79/2.00 thf(c_0_30, plain, ![X16:nat, X208:nat]:((~(ord_less_eq_nat @ X16 @ X208)=>(ord_less_nat @ X208 @ X16))), inference(fof_simplification,[status(thm)],[fact_183_not__le__imp__less])). 1.79/2.00 thf(c_0_31, plain, ![X1:nat]:(~((ord_less_nat @ (suc @ X1) @ (suc @ zero_zero_nat)))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 1.79/2.00 thf(c_0_32, plain, ((suc @ zero_zero_nat)=(one_one_nat)), inference(spm,[status(thm)],[c_0_28, c_0_29])). 1.79/2.00 thf(c_0_33, plain, ![X1955:nat, X1956:nat]:(((ord_less_eq_nat @ X1955 @ X1956)|(ord_less_nat @ X1956 @ X1955))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])). 1.79/2.00 thf(c_0_34, plain, ![X1503:nat, X1504:nat]:((~(ord_less_eq_nat @ X1503 @ X1504)|(~(ord_less_eq_nat @ X1504 @ X1503)|((X1503)=(X1504))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_36_le__antisym])])). 1.79/2.00 thf(c_0_35, plain, ![X1:nat]:(~((ord_less_nat @ (suc @ X1) @ one_one_nat))), inference(rw,[status(thm)],[c_0_31, c_0_32])). 1.79/2.00 thf(c_0_36, plain, ![X3:nat, X1:nat]:(((ord_less_eq_nat @ X1 @ X3)|(ord_less_nat @ X3 @ X1))), inference(split_conjunct,[status(thm)],[c_0_33])). 1.79/2.00 thf(c_0_37, plain, ![X19:nat, X4:nat]:((~(ord_less_eq_nat @ X19 @ X4)<=>(ord_less_eq_nat @ (suc @ X4) @ X19))), inference(fof_simplification,[status(thm)],[fact_147_not__less__eq__eq])). 1.79/2.00 thf(c_0_38, negated_conjecture, ~(ord_less_eq_int @ (power_power_int @ q @ one_one_nat) @ (power_power_int @ q @ (semiri50953410ct_nat @ (suc @ n)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 1.79/2.00 thf(c_0_39, plain, ![X1438:int]:(((power_power_int @ X1438 @ one_one_nat)=(X1438))), inference(variable_rename,[status(thm)],[fact_5_power__one__right])). 1.79/2.00 thf(c_0_40, plain, ![X1390:nat]:(((b @ X1390)=(power_power_int @ q @ (semiri50953410ct_nat @ (suc @ X1390))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_1_b__def])])). 1.79/2.00 thf(c_0_41, plain, ![X3:nat, X1:nat]:((((X1)=(X3))|~((ord_less_eq_nat @ X1 @ X3))|~((ord_less_eq_nat @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_34])). 1.79/2.00 thf(c_0_42, plain, ![X1:nat]:((ord_less_eq_nat @ one_one_nat @ (suc @ X1))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 1.79/2.00 thf(c_0_43, plain, ![X1872:nat, X1873:nat]:((((ord_less_eq_nat @ X1872 @ X1873)|(ord_less_eq_nat @ (suc @ X1873) @ X1872))&(~(ord_less_eq_nat @ (suc @ X1873) @ X1872)|~(ord_less_eq_nat @ X1872 @ X1873)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])). 1.79/2.00 thf(c_0_44, negated_conjecture, ~((ord_less_eq_int @ (power_power_int @ q @ one_one_nat) @ (power_power_int @ q @ (semiri50953410ct_nat @ (suc @ n))))), inference(split_conjunct,[status(thm)],[c_0_38])). 1.79/2.00 thf(c_0_45, plain, ![X2:int]:(((power_power_int @ X2 @ one_one_nat)=(X2))), inference(split_conjunct,[status(thm)],[c_0_39])). 1.79/2.00 thf(c_0_46, plain, ![X1437:nat]:(((b @ X1437)=(power_power_int @ q @ (semiri50953410ct_nat @ (suc @ X1437))))), inference(variable_rename,[status(thm)],[c_0_40])). 1.79/2.00 thf(c_0_47, plain, ![X1:nat]:((((suc @ X1)=(one_one_nat))|~((ord_less_eq_nat @ (suc @ X1) @ one_one_nat)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 1.79/2.00 thf(c_0_48, plain, ![X3:nat, X1:nat]:(((ord_less_eq_nat @ X1 @ X3)|(ord_less_eq_nat @ (suc @ X3) @ X1))), inference(split_conjunct,[status(thm)],[c_0_43])). 1.79/2.00 thf(c_0_49, negated_conjecture, ~((ord_less_eq_int @ q @ (power_power_int @ q @ (semiri50953410ct_nat @ (suc @ n))))), inference(rw,[status(thm)],[c_0_44, c_0_45])). 1.79/2.00 thf(c_0_50, plain, ![X1:nat]:(((b @ X1)=(power_power_int @ q @ (semiri50953410ct_nat @ (suc @ X1))))), inference(split_conjunct,[status(thm)],[c_0_46])). 1.79/2.00 thf(c_0_51, plain, ![X1:nat]:((((suc @ X1)=(one_one_nat))|(ord_less_eq_nat @ one_one_nat @ X1))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 1.79/2.00 thf(c_0_52, plain, ((semiri50953410ct_nat @ one_one_nat)=(one_one_nat)), inference(split_conjunct,[status(thm)],[fact_4_fact__1])). 1.79/2.00 thf(c_0_53, plain, ![X1458:int]:((ord_less_eq_int @ X1458 @ X1458)), inference(variable_rename,[status(thm)],[fact_17_order__refl])). 1.79/2.00 thf(c_0_54, plain, ![X1924:nat, X1925:nat, X1926:nat]:((~(ord_less_nat @ X1924 @ X1925)|(~(ord_less_eq_nat @ X1926 @ X1924)|(ord_less_nat @ X1926 @ X1925)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_171_dual__order_Ostrict__trans2])])). 1.79/2.00 thf(c_0_55, negated_conjecture, ~((ord_less_eq_int @ q @ (b @ n))), inference(rw,[status(thm)],[c_0_49, c_0_50])). 1.79/2.00 thf(c_0_56, plain, ![X1:nat]:((((b @ X1)=(q))|(ord_less_eq_nat @ one_one_nat @ X1))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52]), c_0_45])). 1.79/2.00 thf(c_0_57, plain, ![X2:int]:((ord_less_eq_int @ X2 @ X2)), inference(split_conjunct,[status(thm)],[c_0_53])). 1.79/2.00 thf(c_0_58, plain, ![X1491:nat, X1492:nat]:(((~(ord_less_eq_nat @ (suc @ X1491) @ X1492)|(ord_less_nat @ X1491 @ X1492))&(~(ord_less_nat @ X1491 @ X1492)|(ord_less_eq_nat @ (suc @ X1491) @ X1492)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_32_Suc__le__eq])])). 1.79/2.00 thf(c_0_59, plain, ![X1888:nat]:((ord_less_eq_nat @ X1888 @ (semiri50953410ct_nat @ X1888))), inference(variable_rename,[status(thm)],[fact_155_fact__ge__self])). 1.79/2.00 thf(c_0_60, plain, ![X1905:int, X1906:int]:((~(ord_less_int @ X1905 @ X1906)|(ord_less_eq_int @ X1905 @ X1906))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_162_dual__order_Ostrict__implies__order])])). 1.79/2.00 thf(c_0_61, plain, ![X4:nat, X3:nat, X1:nat]:(((ord_less_nat @ X4 @ X3)|~((ord_less_nat @ X1 @ X3))|~((ord_less_eq_nat @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_54])). 1.79/2.00 thf(c_0_62, negated_conjecture, (ord_less_eq_nat @ one_one_nat @ n), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])])). 1.79/2.00 thf(c_0_63, plain, ![X1:nat, X3:nat]:(((ord_less_nat @ X1 @ X3)|~((ord_less_eq_nat @ (suc @ X1) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_58])). 1.79/2.00 thf(c_0_64, plain, ![X1:nat]:((ord_less_eq_nat @ X1 @ (semiri50953410ct_nat @ X1))), inference(split_conjunct,[status(thm)],[c_0_59])). 1.79/2.00 thf(c_0_65, plain, ![X1448:nat, X1449:nat, X1450:int]:((~(ord_less_eq_nat @ X1448 @ X1449)|(~(ord_less_eq_int @ one_one_int @ X1450)|(ord_less_eq_int @ (power_power_int @ X1450 @ X1448) @ (power_power_int @ X1450 @ X1449))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_13_power__increasing])])). 1.79/2.00 thf(c_0_66, plain, ![X2:int, X12:int]:(((ord_less_eq_int @ X2 @ X12)|~((ord_less_int @ X2 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_60])). 1.79/2.00 thf(c_0_67, plain, (ord_less_int @ one_one_int @ q), inference(split_conjunct,[status(thm)],[fact_0_assms_I1_J])). 1.79/2.00 thf(c_0_68, plain, ![X1485:nat, X1486:nat]:((~(ord_less_nat @ X1485 @ X1486)|(ord_less_eq_nat @ (suc @ X1485) @ X1486))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_29_Suc__leI])])). 1.79/2.00 thf(c_0_69, negated_conjecture, ![X1:nat]:(((ord_less_nat @ one_one_nat @ X1)|~((ord_less_nat @ n @ X1)))), inference(spm,[status(thm)],[c_0_61, c_0_62])). 1.79/2.00 thf(c_0_70, plain, ![X1:nat]:((ord_less_nat @ X1 @ (semiri50953410ct_nat @ (suc @ X1)))), inference(spm,[status(thm)],[c_0_63, c_0_64])). 1.79/2.00 thf(c_0_71, plain, ![X1:nat, X3:nat, X2:int]:(((ord_less_eq_int @ (power_power_int @ X2 @ X1) @ (power_power_int @ X2 @ X3))|~((ord_less_eq_nat @ X1 @ X3))|~((ord_less_eq_int @ one_one_int @ X2)))), inference(split_conjunct,[status(thm)],[c_0_65])). 1.79/2.00 thf(c_0_72, plain, (ord_less_eq_int @ one_one_int @ q), inference(spm,[status(thm)],[c_0_66, c_0_67])). 1.79/2.00 thf(c_0_73, plain, ![X1877:nat, X1878:nat]:((~(ord_less_eq_nat @ (suc @ X1877) @ X1878)|((X1878)=(suc @ (esk80_2 @ X1877 @ X1878))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_150_Suc__le__D])])])). 1.79/2.00 thf(c_0_74, plain, ![X1:nat, X3:nat]:(((ord_less_eq_nat @ (suc @ X1) @ X3)|~((ord_less_nat @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_68])). 1.79/2.00 thf(c_0_75, negated_conjecture, (ord_less_nat @ one_one_nat @ (semiri50953410ct_nat @ (suc @ n))), inference(spm,[status(thm)],[c_0_69, c_0_70])). 1.79/2.00 thf(c_0_76, plain, ![X1:nat, X3:nat]:(((ord_less_eq_int @ (power_power_int @ q @ X1) @ (power_power_int @ q @ X3))|~((ord_less_eq_nat @ X1 @ X3)))), inference(spm,[status(thm)],[c_0_71, c_0_72])). 1.79/2.00 thf(c_0_77, plain, ![X1:nat, X3:nat]:((((X3)=(suc @ (esk80_2 @ X1 @ X3)))|~((ord_less_eq_nat @ (suc @ X1) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_73])). 1.79/2.00 thf(c_0_78, negated_conjecture, (ord_less_eq_nat @ (suc @ one_one_nat) @ (semiri50953410ct_nat @ (suc @ n))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 1.79/2.00 thf(c_0_79, plain, ![X1:nat]:((ord_less_eq_int @ q @ (power_power_int @ q @ (suc @ X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_42]), c_0_45])). 1.79/2.00 thf(c_0_80, negated_conjecture, ((suc @ (esk80_2 @ one_one_nat @ (semiri50953410ct_nat @ (suc @ n))))=(semiri50953410ct_nat @ (suc @ n))), inference(spm,[status(thm)],[c_0_77, c_0_78])). 1.79/2.00 thf(c_0_81, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_50]), c_0_55]), ['proof']). 1.79/2.00 # SZS output end CNFRefutation 1.79/2.00 # Parsed axioms : 370 1.79/2.00 # Removed by relevancy pruning/SinE : 0 1.79/2.00 # Initial clauses : 741 1.79/2.00 # Removed in clause preprocessing : 64 1.79/2.00 # Initial clauses in saturation : 677 1.79/2.00 # Processed clauses : 11220 1.79/2.00 # ...of these trivial : 483 1.79/2.00 # ...subsumed : 7326 1.79/2.00 # ...remaining for further processing : 3411 1.79/2.00 # Other redundant clauses eliminated : 216 1.79/2.00 # Clauses deleted for lack of memory : 0 1.79/2.00 # Backward-subsumed : 223 1.79/2.00 # Backward-rewritten : 123 1.79/2.00 # Generated clauses : 155763 1.79/2.00 # ...of the previous two non-redundant : 127606 1.79/2.00 # ...aggressively subsumed : 0 1.79/2.00 # Contextual simplify-reflections : 8 1.79/2.00 # Paramodulations : 155507 1.79/2.00 # Factorizations : 20 1.79/2.00 # NegExts : 0 1.79/2.00 # Equation resolutions : 220 1.79/2.00 # Propositional unsat checks : 0 1.79/2.00 # Propositional check models : 0 1.79/2.00 # Propositional check unsatisfiable : 0 1.79/2.00 # Propositional clauses : 0 1.79/2.00 # Propositional clauses after purity: 0 1.79/2.00 # Propositional unsat core size : 0 1.79/2.00 # Propositional preprocessing time : 0.000 1.79/2.00 # Propositional encoding time : 0.000 1.79/2.00 # Propositional solver time : 0.000 1.79/2.00 # Success case prop preproc time : 0.000 1.79/2.00 # Success case prop encoding time : 0.000 1.79/2.00 # Success case prop solver time : 0.000 1.79/2.00 # Current number of processed clauses : 2648 1.79/2.00 # Positive orientable unit clauses : 374 1.79/2.00 # Positive unorientable unit clauses: 0 1.79/2.00 # Negative unit clauses : 858 1.79/2.00 # Non-unit-clauses : 1416 1.79/2.00 # Current number of unprocessed clauses: 116997 1.79/2.00 # ...number of literals in the above : 325490 1.79/2.00 # Current number of archived formulas : 0 1.79/2.00 # Current number of archived clauses : 662 1.79/2.00 # Clause-clause subsumption calls (NU) : 133497 1.79/2.00 # Rec. Clause-clause subsumption calls : 91441 1.79/2.00 # Non-unit clause-clause subsumptions : 2333 1.79/2.00 # Unit Clause-clause subsumption calls : 80807 1.79/2.00 # Rewrite failures with RHS unbound : 0 1.79/2.00 # BW rewrite match attempts : 873 1.79/2.00 # BW rewrite match successes : 72 1.79/2.00 # Condensation attempts : 0 1.79/2.00 # Condensation successes : 0 1.79/2.00 # Termbank termtop insertions : 2310397 1.79/2.00 1.79/2.00 # ------------------------------------------------- 1.79/2.00 # User time : 1.433 s 1.79/2.00 # System time : 0.078 s 1.79/2.00 # Total time : 1.511 s 1.79/2.00 # Maximum resident set size: 4992 pages 1.79/2.00 1.79/2.00 # ------------------------------------------------- 1.79/2.00 # User time : 1.444 s 1.79/2.00 # System time : 0.082 s 1.79/2.00 # Total time : 1.525 s 1.79/2.00 # Maximum resident set size: 2368 pages 1.79/2.00 EOF