0.00/0.12 % Problem : SLH692^1 : TPTP v7.5.0. Released v7.5.0. 0.00/0.13 % Command : run_E %s %d THM 0.09/0.33 % Computer : n016.cluster.edu 0.09/0.33 % Model : x86_64 x86_64 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.33 % Memory : 8042.1875MB 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.33 % CPULimit : 30 0.09/0.33 % WCLimit : 30 0.09/0.33 % DateTime : Tue Aug 9 03:49:57 EDT 2022 0.09/0.33 % CPUTime : 0.14/0.44 The problem SPC is TH0_THM_EQU_NAR 0.14/0.44 Running higher-order on 1 cores theorem proving 0.14/0.44 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=1 --cpu-limit=30 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.44 # Version: 3.0pre003-ho 0.33/0.62 # Preprocessing class: HSLSSMSSSSMNHSA. 0.33/0.62 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.33/0.62 # Starting sh1 with 30s (1) cores 0.33/0.62 # sh1 with pid 25547 completed with status 0 0.33/0.62 # Result found by sh1 0.33/0.62 # Preprocessing class: HSLSSMSSSSMNHSA. 0.33/0.62 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.33/0.62 # Starting sh1 with 30s (1) cores 0.33/0.62 # No SInE strategy applied 0.33/0.62 # Search class: HGHSM-FSLF32-MHSFFSBC 0.33/0.62 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.33/0.62 # Starting new_ho_10 with 17s (1) cores 0.33/0.62 # new_ho_10 with pid 25548 completed with status 0 0.33/0.62 # Result found by new_ho_10 0.33/0.62 # Preprocessing class: HSLSSMSSSSMNHSA. 0.33/0.62 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.33/0.62 # Starting sh1 with 30s (1) cores 0.33/0.62 # No SInE strategy applied 0.33/0.62 # Search class: HGHSM-FSLF32-MHSFFSBC 0.33/0.62 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.33/0.62 # Starting new_ho_10 with 17s (1) cores 0.33/0.62 # Preprocessing time : 0.010 s 0.33/0.62 # Presaturation interreduction done 0.33/0.62 0.33/0.62 # Proof found! 0.33/0.62 # SZS status Theorem 0.33/0.62 # SZS output start CNFRefutation 0.33/0.62 thf(decl_22, type, minus_minus_nat: nat > nat > nat). 0.33/0.62 thf(decl_23, type, one_one_nat: nat). 0.33/0.62 thf(decl_24, type, if_nat: $o > nat > nat > nat). 0.33/0.62 thf(decl_25, type, if_a: $o > a > a > a). 0.33/0.62 thf(decl_26, type, f_image_nat: list_nat > set_nat > set_nat). 0.33/0.62 thf(decl_27, type, f_image_a: list_a > set_nat > set_a). 0.33/0.62 thf(decl_28, type, list_asc_nat: list_nat > $o). 0.33/0.62 thf(decl_29, type, list_asc_set_a: list_set_a > $o). 0.33/0.62 thf(decl_30, type, list_desc_nat: list_nat > $o). 0.33/0.62 thf(decl_31, type, list_desc_set_a: list_set_a > $o). 0.33/0.62 thf(decl_32, type, list_strict_asc_nat: list_nat > $o). 0.33/0.62 thf(decl_33, type, list_s936519099_set_a: list_set_a > $o). 0.33/0.62 thf(decl_34, type, list_strict_desc_nat: list_nat > $o). 0.33/0.62 thf(decl_35, type, listIn923761578nd_nat: list_nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_36, type, listIn1312259492pend_a: list_a > (nat > a) > nat > a). 0.33/0.62 thf(decl_37, type, append_nat: list_nat > list_nat > list_nat). 0.33/0.62 thf(decl_38, type, append_a: list_a > list_a > list_a). 0.33/0.62 thf(decl_39, type, butlast_nat: list_nat > list_nat). 0.33/0.62 thf(decl_40, type, butlast_a: list_a > list_a). 0.33/0.62 thf(decl_41, type, distinct_nat: list_nat > $o). 0.33/0.62 thf(decl_42, type, distinct_a: list_a > $o). 0.33/0.62 thf(decl_43, type, list_all_nat: (nat > $o) > list_nat > $o). 0.33/0.62 thf(decl_44, type, list_all_a: (a > $o) > list_a > $o). 0.33/0.62 thf(decl_45, type, set_nat2: list_nat > set_nat). 0.33/0.62 thf(decl_46, type, set_a2: list_a > set_a). 0.33/0.62 thf(decl_47, type, list_ex_nat: (nat > $o) > list_nat > $o). 0.33/0.62 thf(decl_48, type, list_ex_a: (a > $o) > list_a > $o). 0.33/0.62 thf(decl_49, type, list_update_nat: list_nat > nat > nat > list_nat). 0.33/0.62 thf(decl_50, type, list_update_a: list_a > nat > a > list_a). 0.33/0.62 thf(decl_51, type, nth_nat: list_nat > nat > nat). 0.33/0.62 thf(decl_52, type, nth_set_a: list_set_a > nat > set_a). 0.33/0.62 thf(decl_53, type, nth_a: list_a > nat > a). 0.33/0.62 thf(decl_54, type, union_a: list_a > list_a > list_a). 0.33/0.62 thf(decl_55, type, size_size_list_nat: list_nat > nat). 0.33/0.62 thf(decl_56, type, size_size_list_set_a: list_set_a > nat). 0.33/0.62 thf(decl_57, type, size_size_list_a: list_a > nat). 0.33/0.62 thf(decl_58, type, ord_less_nat: nat > nat > $o). 0.33/0.62 thf(decl_59, type, ord_less_set_a: set_a > set_a > $o). 0.33/0.62 thf(decl_60, type, ord_less_eq_list_a_o: (list_a > $o) > (list_a > $o) > $o). 0.33/0.62 thf(decl_61, type, ord_less_eq_a_o: (a > $o) > (a > $o) > $o). 0.33/0.62 thf(decl_62, type, ord_less_eq_nat: nat > nat > $o). 0.33/0.62 thf(decl_63, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.33/0.62 thf(decl_64, type, ord_less_eq_set_a: set_a > set_a > $o). 0.33/0.62 thf(decl_65, type, collect_nat: (nat > $o) > set_nat). 0.33/0.62 thf(decl_66, type, collect_a: (a > $o) > set_a). 0.33/0.62 thf(decl_67, type, member_nat: nat > set_nat > $o). 0.33/0.62 thf(decl_68, type, member_a: a > set_a > $o). 0.33/0.62 thf(decl_69, type, f: nat > a). 0.33/0.62 thf(decl_70, type, n: nat). 0.33/0.62 thf(decl_71, type, xs: list_a). 0.33/0.62 thf(decl_72, type, esk1_2: list_nat > list_nat > nat). 0.33/0.62 thf(decl_73, type, esk2_2: list_a > list_a > nat). 0.33/0.62 thf(decl_74, type, esk3_2: nat > (nat > nat > $o) > nat). 0.33/0.62 thf(decl_75, type, esk4_2: nat > (nat > nat > $o) > list_nat). 0.33/0.62 thf(decl_76, type, esk5_3: nat > (nat > nat > $o) > list_nat > nat). 0.33/0.62 thf(decl_77, type, esk6_3: nat > (nat > nat > $o) > nat > nat). 0.33/0.62 thf(decl_78, type, esk7_2: nat > (nat > a > $o) > nat). 0.33/0.62 thf(decl_79, type, esk8_2: nat > (nat > a > $o) > list_a). 0.33/0.62 thf(decl_80, type, esk9_3: nat > (nat > a > $o) > list_a > nat). 0.33/0.62 thf(decl_81, type, esk10_3: nat > (nat > a > $o) > nat > a). 0.33/0.62 thf(decl_82, type, esk11_2: list_nat > list_nat > nat). 0.33/0.62 thf(decl_83, type, esk12_2: list_a > list_a > nat). 0.33/0.62 thf(decl_84, type, esk13_1: (nat > $o) > nat). 0.33/0.62 thf(decl_85, type, esk14_1: (nat > $o) > nat). 0.33/0.62 thf(decl_86, type, esk15_1: nat > list_nat). 0.33/0.62 thf(decl_87, type, esk16_1: nat > list_a). 0.33/0.62 thf(decl_88, type, esk17_1: (list_nat > $o) > list_nat). 0.33/0.62 thf(decl_89, type, esk18_1: (list_a > $o) > list_a). 0.33/0.62 thf(decl_90, type, esk19_1: list_nat > nat). 0.33/0.62 thf(decl_91, type, esk20_1: list_nat > nat). 0.33/0.62 thf(decl_92, type, esk21_1: list_nat > nat). 0.33/0.62 thf(decl_93, type, esk22_1: list_nat > nat). 0.33/0.62 thf(decl_94, type, esk23_2: (nat > $o) > list_nat > nat). 0.33/0.62 thf(decl_95, type, esk24_2: (a > $o) > list_a > nat). 0.33/0.62 thf(decl_96, type, esk25_2: (nat > $o) > list_nat > nat). 0.33/0.62 thf(decl_97, type, esk26_2: (a > $o) > list_a > nat). 0.33/0.62 thf(decl_98, type, esk27_4: list_a > list_a > list_a > list_a > list_a). 0.33/0.62 thf(decl_99, type, esk28_4: list_a > list_a > list_a > list_a > list_a). 0.33/0.62 thf(decl_100, type, esk29_2: (nat > $o) > nat > nat). 0.33/0.62 thf(decl_101, type, esk30_1: (nat > $o) > nat). 0.33/0.62 thf(decl_102, type, esk31_2: list_nat > set_nat > nat). 0.33/0.62 thf(decl_103, type, esk32_2: list_a > set_nat > nat). 0.33/0.62 thf(decl_104, type, esk33_2: nat > nat > nat). 0.33/0.62 thf(decl_105, type, esk34_2: nat > nat > nat). 0.33/0.62 thf(decl_106, type, esk35_2: nat > nat > nat). 0.33/0.62 thf(decl_107, type, esk36_2: nat > nat > nat). 0.33/0.62 thf(decl_108, type, esk37_1: (nat > nat) > nat). 0.33/0.62 thf(decl_109, type, esk38_1: (nat > nat) > nat). 0.33/0.62 thf(decl_110, type, esk39_1: list_set_a > nat). 0.33/0.62 thf(decl_111, type, esk40_1: list_set_a > nat). 0.33/0.62 thf(decl_112, type, esk41_1: list_nat > nat). 0.33/0.62 thf(decl_113, type, esk42_1: list_nat > nat). 0.33/0.62 thf(decl_114, type, esk43_1: list_set_a > nat). 0.33/0.62 thf(decl_115, type, esk44_1: list_set_a > nat). 0.33/0.62 thf(decl_116, type, esk45_1: list_nat > nat). 0.33/0.62 thf(decl_117, type, esk46_1: list_nat > nat). 0.33/0.62 thf(decl_118, type, esk47_3: (nat > $o) > list_nat > (nat > $o) > nat). 0.33/0.62 thf(decl_119, type, esk48_3: (a > $o) > list_a > (a > $o) > a). 0.33/0.62 thf(decl_120, type, esk49_4: list_nat > list_nat > (nat > $o) > (nat > $o) > nat). 0.33/0.62 thf(decl_121, type, esk50_4: list_a > list_a > (a > $o) > (a > $o) > a). 0.33/0.62 thf(decl_122, type, esk51_2: list_nat > nat > nat). 0.33/0.62 thf(decl_123, type, esk52_2: list_a > a > nat). 0.33/0.62 thf(decl_124, type, esk53_4: list_nat > list_nat > (nat > $o) > (nat > $o) > nat). 0.33/0.62 thf(decl_125, type, esk54_4: list_a > list_a > (a > $o) > (a > $o) > a). 0.33/0.62 thf(decl_126, type, esk55_1: list_set_a > nat). 0.33/0.62 thf(decl_127, type, esk56_1: list_set_a > nat). 0.33/0.62 thf(decl_128, type, esk57_1: list_nat > nat). 0.33/0.62 thf(decl_129, type, esk58_1: list_nat > nat). 0.33/0.62 thf(decl_130, type, esk59_1: list_set_a > nat). 0.33/0.62 thf(decl_131, type, esk60_1: list_set_a > nat). 0.33/0.62 thf(decl_132, type, esk61_1: list_nat > nat). 0.33/0.62 thf(decl_133, type, esk62_1: list_nat > nat). 0.33/0.62 thf(decl_134, type, esk63_1: list_nat > nat). 0.33/0.62 thf(decl_135, type, esk64_1: list_nat > nat). 0.33/0.62 thf(decl_136, type, esk65_1: list_a > nat). 0.33/0.62 thf(decl_137, type, esk66_1: list_a > nat). 0.33/0.62 thf(decl_138, type, esk67_2: list_nat > (nat > $o) > nat). 0.33/0.62 thf(decl_139, type, esk68_2: list_nat > (nat > $o) > nat). 0.33/0.62 thf(decl_140, type, esk69_2: list_a > (a > $o) > a). 0.33/0.62 thf(decl_141, type, esk70_2: list_a > (a > $o) > nat). 0.33/0.62 thf(decl_142, type, esk71_2: list_nat > (nat > $o) > nat). 0.33/0.62 thf(decl_143, type, esk72_2: list_a > (a > $o) > nat). 0.33/0.62 thf(decl_144, type, esk73_2: nat > list_nat > nat). 0.33/0.62 thf(decl_145, type, esk74_2: a > list_a > nat). 0.33/0.62 thf(decl_146, type, esk75_3: nat > list_nat > (nat > $o) > nat). 0.33/0.62 thf(decl_147, type, esk76_3: nat > list_a > (a > $o) > a). 0.33/0.62 thf(decl_148, type, esk77_3: nat > list_nat > set_nat > nat). 0.33/0.62 thf(decl_149, type, esk78_3: a > list_a > set_nat > nat). 0.33/0.62 thf(decl_150, type, esk79_3: nat > list_nat > set_nat > nat). 0.33/0.62 thf(decl_151, type, esk80_3: a > list_a > set_nat > nat). 0.33/0.62 thf(decl_152, type, esk81_2: nat > (nat > $o) > nat). 0.33/0.62 thf(decl_153, type, esk82_2: nat > (nat > $o) > nat). 0.33/0.62 thf(decl_154, type, esk83_3: set_a > list_a > set_nat > set_nat). 0.33/0.62 thf(decl_155, type, esk84_2: list_nat > set_nat > nat). 0.33/0.62 thf(decl_156, type, esk85_2: list_a > set_a > a). 0.33/0.62 thf(decl_157, type, esk86_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_158, type, esk87_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_159, type, esk88_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_160, type, esk89_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_161, type, esk90_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_162, type, esk91_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_163, type, esk92_4: set_a > set_a > (set_a > nat) > nat > set_a). 0.33/0.62 thf(decl_164, type, esk93_4: set_a > set_a > (set_a > nat) > nat > set_a). 0.33/0.62 thf(decl_165, type, esk94_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 0.33/0.62 thf(decl_166, type, esk95_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 0.33/0.62 thf(decl_167, type, esk96_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_168, type, esk97_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_169, type, esk98_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_170, type, esk99_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_171, type, esk100_4: nat > (set_a > nat) > set_a > set_a > set_a). 0.33/0.62 thf(decl_172, type, esk101_4: nat > (set_a > nat) > set_a > set_a > set_a). 0.33/0.62 thf(decl_173, type, esk102_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 0.33/0.62 thf(decl_174, type, esk103_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 0.33/0.62 thf(decl_175, type, esk104_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_176, type, esk105_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_177, type, esk106_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_178, type, esk107_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_179, type, esk108_4: set_a > set_a > (set_a > nat) > nat > set_a). 0.33/0.62 thf(decl_180, type, esk109_4: set_a > set_a > (set_a > nat) > nat > set_a). 0.33/0.62 thf(decl_181, type, esk110_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 0.33/0.62 thf(decl_182, type, esk111_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 0.33/0.62 thf(decl_183, type, esk112_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_184, type, esk113_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_185, type, esk114_4: nat > (set_a > nat) > set_a > set_a > set_a). 0.33/0.62 thf(decl_186, type, esk115_4: nat > (set_a > nat) > set_a > set_a > set_a). 0.33/0.62 thf(decl_187, type, esk116_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_188, type, esk117_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_189, type, esk118_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 0.33/0.62 thf(decl_190, type, esk119_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 0.33/0.62 thf(decl_191, type, esk120_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_192, type, esk121_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_193, type, esk122_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_194, type, esk123_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_195, type, esk124_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_196, type, esk125_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_197, type, esk126_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_198, type, esk127_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_199, type, esk128_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_200, type, esk129_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_201, type, esk130_1: nat > nat). 0.33/0.62 thf(decl_202, type, esk131_1: (nat > $o) > nat). 0.33/0.62 thf(decl_203, type, esk132_1: (nat > $o) > nat). 0.33/0.62 thf(decl_204, type, esk133_2: (nat > $o) > nat > nat). 0.33/0.62 thf(decl_205, type, esk134_1: (nat > $o) > nat). 0.33/0.62 thf(decl_206, type, esk135_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_207, type, esk136_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_208, type, esk137_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_209, type, esk138_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_210, type, esk139_1: (nat > nat > $o) > nat). 0.33/0.62 thf(decl_211, type, esk140_3: set_nat > list_nat > set_nat > nat). 0.33/0.62 thf(decl_212, type, esk141_3: set_nat > list_a > set_a > nat). 0.33/0.62 thf(decl_213, type, esk142_3: list_nat > set_nat > set_nat > nat). 0.33/0.62 thf(decl_214, type, esk143_3: list_a > set_nat > set_a > nat). 0.33/0.62 thf(decl_215, type, esk144_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_216, type, esk145_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_217, type, esk146_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_218, type, esk147_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_219, type, esk148_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_220, type, esk149_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_221, type, esk150_4: nat > (set_a > nat) > set_a > set_a > set_a). 0.33/0.62 thf(decl_222, type, esk151_4: nat > (set_a > nat) > set_a > set_a > set_a). 0.33/0.62 thf(decl_223, type, esk152_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 0.33/0.62 thf(decl_224, type, esk153_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 0.33/0.62 thf(decl_225, type, esk154_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_226, type, esk155_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_227, type, esk156_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_228, type, esk157_4: nat > nat > (nat > set_a) > set_a > nat). 0.33/0.62 thf(decl_229, type, esk158_4: set_a > set_a > (set_a > nat) > nat > set_a). 0.33/0.62 thf(decl_230, type, esk159_4: set_a > set_a > (set_a > nat) > nat > set_a). 0.33/0.62 thf(decl_231, type, esk160_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 0.33/0.62 thf(decl_232, type, esk161_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 0.33/0.62 thf(decl_233, type, esk162_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_234, type, esk163_4: nat > nat > (nat > nat) > nat > nat). 0.33/0.62 thf(decl_235, type, esk164_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_236, type, esk165_4: set_a > (nat > set_a) > nat > nat > nat). 0.33/0.62 thf(decl_237, type, esk166_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_238, type, esk167_4: nat > (nat > nat) > nat > nat > nat). 0.33/0.62 thf(decl_239, type, epred1_1: set_nat > nat > $o). 0.33/0.62 thf(decl_240, type, epred2_1: set_a > a > $o). 0.33/0.62 thf(fact_1_i__append__def, axiom, ((listIn1312259492pend_a)=(^[X4:list_a, X5:nat > a, X3:nat]:(if_a @ ((ord_less_nat @ X3 @ (size_size_list_a @ X4))) @ (nth_a @ X4 @ X3) @ (X5 @ (minus_minus_nat @ X3 @ (size_size_list_a @ X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_i__append__def)). 0.33/0.62 thf(help_If_2_1_If_001tf__a_T, axiom, ![X551:a, X552:a]:(((if_a @ (~($true)) @ X551 @ X552)=(X552))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_If_2_1_If_001tf__a_T)). 0.33/0.62 thf(conj_0, conjecture, (((ord_less_nat @ n @ (size_size_list_a @ xs))=>((listIn1312259492pend_a @ xs @ f @ n)=(nth_a @ xs @ n)))&(~((ord_less_nat @ n @ (size_size_list_a @ xs)))=>((listIn1312259492pend_a @ xs @ f @ n)=(f @ (minus_minus_nat @ n @ (size_size_list_a @ xs)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.33/0.62 thf(help_If_1_1_If_001tf__a_T, axiom, ![X553:a, X554:a]:(((if_a @ (($true)) @ X553 @ X554)=(X553))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', help_If_1_1_If_001tf__a_T)). 0.33/0.62 thf(c_0_4, plain, ![X1505:list_a, X1506:nat > a, X1507:nat]:(((~(ord_less_nat @ X1507 @ (size_size_list_a @ X1505))|((listIn1312259492pend_a @ X1505 @ X1506 @ X1507)=(if_a @ $true @ (nth_a @ X1505 @ X1507) @ (X1506 @ (minus_minus_nat @ X1507 @ (size_size_list_a @ X1505))))))&((ord_less_nat @ X1507 @ (size_size_list_a @ X1505))|((listIn1312259492pend_a @ X1505 @ X1506 @ X1507)=(if_a @ $false @ (nth_a @ X1505 @ X1507) @ (X1506 @ (minus_minus_nat @ X1507 @ (size_size_list_a @ X1505)))))))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_1_i__append__def])])])). 0.33/0.62 thf(c_0_5, plain, ![X2771:a, X2772:a]:(((if_a @ (~($true)) @ X2771 @ X2772)=(X2772))), inference(variable_rename,[status(thm)],[help_If_2_1_If_001tf__a_T])). 0.33/0.62 thf(c_0_6, negated_conjecture, ~((((ord_less_nat @ n @ (size_size_list_a @ xs))=>((listIn1312259492pend_a @ xs @ f @ n)=(nth_a @ xs @ n)))&(~(ord_less_nat @ n @ (size_size_list_a @ xs))=>((listIn1312259492pend_a @ xs @ f @ n)=(f @ (minus_minus_nat @ n @ (size_size_list_a @ xs))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.33/0.62 thf(c_0_7, plain, ![X1588:list_a, X1589:nat > a, X1590:nat]:(((~(ord_less_nat @ X1590 @ (size_size_list_a @ X1588))|((listIn1312259492pend_a @ X1588 @ X1589 @ X1590)=(if_a @ $true @ (nth_a @ X1588 @ X1590) @ (X1589 @ (minus_minus_nat @ X1590 @ (size_size_list_a @ X1588))))))&((ord_less_nat @ X1590 @ (size_size_list_a @ X1588))|((listIn1312259492pend_a @ X1588 @ X1589 @ X1590)=(if_a @ $false @ (nth_a @ X1588 @ X1590) @ (X1589 @ (minus_minus_nat @ X1590 @ (size_size_list_a @ X1588)))))))), inference(variable_rename,[status(thm)],[c_0_4])). 0.33/0.62 thf(c_0_8, plain, ![X2773:a, X2774:a]:(((if_a @ (($true)) @ X2773 @ X2774)=(X2773))), inference(variable_rename,[status(thm)],[help_If_1_1_If_001tf__a_T])). 0.33/0.62 thf(c_0_9, plain, ![X16:a, X59:a]:(((if_a @ (((($true))!=(($true)))) @ X16 @ X59)=(X59))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.33/0.62 thf(c_0_10, negated_conjecture, (((~(ord_less_nat @ n @ (size_size_list_a @ xs))|(ord_less_nat @ n @ (size_size_list_a @ xs)))&(((listIn1312259492pend_a @ xs @ f @ n)!=(f @ (minus_minus_nat @ n @ (size_size_list_a @ xs))))|(ord_less_nat @ n @ (size_size_list_a @ xs))))&((~(ord_less_nat @ n @ (size_size_list_a @ xs))|((listIn1312259492pend_a @ xs @ f @ n)!=(nth_a @ xs @ n)))&(((listIn1312259492pend_a @ xs @ f @ n)!=(f @ (minus_minus_nat @ n @ (size_size_list_a @ xs))))|((listIn1312259492pend_a @ xs @ f @ n)!=(nth_a @ xs @ n))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])). 0.33/0.62 thf(c_0_11, plain, ![X3:nat, X5:nat > a, X4:list_a]:((((listIn1312259492pend_a @ X4 @ X5 @ X3)=(if_a @ (($true)) @ (nth_a @ X4 @ X3) @ (X5 @ (minus_minus_nat @ X3 @ (size_size_list_a @ X4)))))|~((ord_less_nat @ X3 @ (size_size_list_a @ X4))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.33/0.62 thf(c_0_12, plain, ![X59:a, X16:a]:(((if_a @ (($true)) @ X16 @ X59)=(X16))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.33/0.62 thf(c_0_13, plain, ![X3:nat, X5:nat > a, X4:list_a]:(((ord_less_nat @ X3 @ (size_size_list_a @ X4))|((listIn1312259492pend_a @ X4 @ X5 @ X3)=(if_a @ (~($true)) @ (nth_a @ X4 @ X3) @ (X5 @ (minus_minus_nat @ X3 @ (size_size_list_a @ X4))))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.33/0.62 thf(c_0_14, plain, ![X16:a, X59:a]:(((if_a @ (~($true)) @ X16 @ X59)=(X59))), inference(cn,[status(thm)],[c_0_9])). 0.33/0.62 thf(c_0_15, negated_conjecture, (~((ord_less_nat @ n @ (size_size_list_a @ xs)))|((listIn1312259492pend_a @ xs @ f @ n)!=(nth_a @ xs @ n))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.33/0.62 thf(c_0_16, plain, ![X3:nat, X5:nat > a, X4:list_a]:((((listIn1312259492pend_a @ X4 @ X5 @ X3)=(nth_a @ X4 @ X3))|~((ord_less_nat @ X3 @ (size_size_list_a @ X4))))), inference(rw,[status(thm)],[c_0_11, c_0_12])). 0.33/0.62 thf(c_0_17, negated_conjecture, ((ord_less_nat @ n @ (size_size_list_a @ xs))|((listIn1312259492pend_a @ xs @ f @ n)!=(f @ (minus_minus_nat @ n @ (size_size_list_a @ xs))))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.33/0.62 thf(c_0_18, plain, ![X3:nat, X5:nat > a, X4:list_a]:((((listIn1312259492pend_a @ X4 @ X5 @ X3)=(X5 @ (minus_minus_nat @ X3 @ (size_size_list_a @ X4))))|(ord_less_nat @ X3 @ (size_size_list_a @ X4)))), inference(rw,[status(thm)],[c_0_13, c_0_14])). 0.33/0.62 thf(c_0_19, negated_conjecture, ~((ord_less_nat @ n @ (size_size_list_a @ xs))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.33/0.62 thf(c_0_20, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), ['proof']). 0.33/0.62 # SZS output end CNFRefutation 0.33/0.62 # Parsed axioms : 406 0.33/0.62 # Removed by relevancy pruning/SinE : 0 0.33/0.62 # Initial clauses : 782 0.33/0.62 # Removed in clause preprocessing : 89 0.33/0.62 # Initial clauses in saturation : 693 0.33/0.62 # Processed clauses : 1036 0.33/0.62 # ...of these trivial : 9 0.33/0.62 # ...subsumed : 254 0.33/0.62 # ...remaining for further processing : 773 0.33/0.62 # Other redundant clauses eliminated : 125 0.33/0.62 # Clauses deleted for lack of memory : 0 0.33/0.62 # Backward-subsumed : 2 0.33/0.62 # Backward-rewritten : 1 0.33/0.62 # Generated clauses : 1166 0.33/0.62 # ...of the previous two non-redundant : 1014 0.33/0.62 # ...aggressively subsumed : 0 0.33/0.62 # Contextual simplify-reflections : 5 0.33/0.62 # Paramodulations : 1031 0.33/0.62 # Factorizations : 4 0.33/0.62 # NegExts : 0 0.33/0.62 # Equation resolutions : 133 0.33/0.62 # Propositional unsat checks : 0 0.33/0.62 # Propositional check models : 0 0.33/0.62 # Propositional check unsatisfiable : 0 0.33/0.62 # Propositional clauses : 0 0.33/0.62 # Propositional clauses after purity: 0 0.33/0.62 # Propositional unsat core size : 0 0.33/0.62 # Propositional preprocessing time : 0.000 0.33/0.62 # Propositional encoding time : 0.000 0.33/0.62 # Propositional solver time : 0.000 0.33/0.62 # Success case prop preproc time : 0.000 0.33/0.62 # Success case prop encoding time : 0.000 0.33/0.62 # Success case prop solver time : 0.000 0.33/0.62 # Current number of processed clauses : 213 0.33/0.62 # Positive orientable unit clauses : 33 0.33/0.62 # Positive unorientable unit clauses: 1 0.33/0.62 # Negative unit clauses : 18 0.33/0.62 # Non-unit-clauses : 161 0.33/0.62 # Current number of unprocessed clauses: 1109 0.33/0.62 # ...number of literals in the above : 2894 0.33/0.62 # Current number of archived formulas : 0 0.33/0.62 # Current number of archived clauses : 442 0.33/0.62 # Clause-clause subsumption calls (NU) : 50996 0.33/0.62 # Rec. Clause-clause subsumption calls : 33930 0.33/0.62 # Non-unit clause-clause subsumptions : 229 0.33/0.62 # Unit Clause-clause subsumption calls : 627 0.33/0.62 # Rewrite failures with RHS unbound : 0 0.33/0.62 # BW rewrite match attempts : 6 0.33/0.62 # BW rewrite match successes : 1 0.33/0.62 # Condensation attempts : 1036 0.33/0.62 # Condensation successes : 15 0.33/0.62 # Termbank termtop insertions : 79500 0.33/0.62 0.33/0.62 # ------------------------------------------------- 0.33/0.62 # User time : 0.137 s 0.33/0.62 # System time : 0.008 s 0.33/0.62 # Total time : 0.145 s 0.33/0.62 # Maximum resident set size: 5432 pages 0.33/0.62 0.33/0.62 # ------------------------------------------------- 0.33/0.62 # User time : 0.149 s 0.33/0.62 # System time : 0.011 s 0.33/0.62 # Total time : 0.160 s 0.33/0.62 # Maximum resident set size: 2512 pages 0.33/0.62 EOF