0.11/0.12 % Problem : SLH408^1 : TPTP v7.5.0. Released v7.5.0. 0.11/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 30 0.13/0.34 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 02:56:01 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.47 The problem SPC is TH0_THM_EQU_NAR 0.20/0.47 Running higher-order on 1 cores theorem proving 0.20/0.47 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 0.20/0.47 # Version: 3.0pre003-ho 0.44/0.71 # Preprocessing class: HSLMSMSSSSMNHFA. 0.44/0.71 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.44/0.71 # Starting lpo5_fix with 30s (1) cores 0.44/0.71 # lpo5_fix with pid 16340 completed with status 0 0.44/0.71 # Result found by lpo5_fix 0.44/0.71 # Preprocessing class: HSLMSMSSSSMNHFA. 0.44/0.71 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.44/0.71 # Starting lpo5_fix with 30s (1) cores 0.44/0.71 # No SInE strategy applied 0.44/0.71 # Search class: HGHSM-FSLM32-MHFFFSBC 0.44/0.71 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.44/0.71 # Starting additional_ho_6 with 17s (1) cores 0.44/0.71 # additional_ho_6 with pid 16341 completed with status 0 0.44/0.71 # Result found by additional_ho_6 0.44/0.71 # Preprocessing class: HSLMSMSSSSMNHFA. 0.44/0.71 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.44/0.71 # Starting lpo5_fix with 30s (1) cores 0.44/0.71 # No SInE strategy applied 0.44/0.71 # Search class: HGHSM-FSLM32-MHFFFSBC 0.44/0.71 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.44/0.71 # Starting additional_ho_6 with 17s (1) cores 0.44/0.71 # Preprocessing time : 0.013 s 0.44/0.71 # Presaturation interreduction done 0.44/0.71 0.44/0.71 # Proof found! 0.44/0.71 # SZS status Theorem 0.44/0.71 # SZS output start CNFRefutation 0.44/0.71 thf(decl_22, type, bij_betw_nat_nat: (nat > nat) > set_nat > set_nat > $o). 0.44/0.71 thf(decl_23, type, bij_betw_nat_set_a: (nat > set_a) > set_nat > set_set_a > $o). 0.44/0.71 thf(decl_24, type, bij_betw_set_a_nat: (set_a > nat) > set_set_a > set_nat > $o). 0.44/0.71 thf(decl_25, type, bij_betw_set_a_a: (set_a > a) > set_set_a > set_a > $o). 0.44/0.71 thf(decl_26, type, bij_betw_a_list_nat: (a > list_nat) > set_a > set_list_nat > $o). 0.44/0.71 thf(decl_27, type, bij_betw_a_list_a: (a > list_a) > set_a > set_list_a > $o). 0.44/0.71 thf(decl_28, type, bij_betw_a_nat: (a > nat) > set_a > set_nat > $o). 0.44/0.71 thf(decl_29, type, bij_betw_a_set_nat: (a > set_nat) > set_a > set_set_nat > $o). 0.44/0.71 thf(decl_30, type, bij_betw_a_set_a: (a > set_a) > set_a > set_set_a > $o). 0.44/0.71 thf(decl_31, type, bij_betw_a_a: (a > a) > set_a > set_a > $o). 0.44/0.71 thf(decl_32, type, hilber172346238at_nat: set_list_nat > (list_nat > nat) > nat > list_nat). 0.44/0.71 thf(decl_33, type, hilber1598817544_a_nat: set_list_a > (list_a > nat) > nat > list_a). 0.44/0.71 thf(decl_34, type, hilber583966462st_nat: set_nat > (nat > list_nat) > list_nat > nat). 0.44/0.71 thf(decl_35, type, hilber815131374at_nat: set_nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_36, type, hilber1771337920_set_a: set_nat > (nat > set_a) > set_a > nat). 0.44/0.71 thf(decl_37, type, hilber1385912160_nat_a: set_nat > (nat > a) > a > nat). 0.44/0.71 thf(decl_38, type, hilber1958840996at_nat: set_set_nat > (set_nat > nat) > nat > set_nat). 0.44/0.71 thf(decl_39, type, hilber836060002_a_nat: set_set_a > (set_a > nat) > nat > set_a). 0.44/0.71 thf(decl_40, type, hilber1417740306st_nat: set_a > (a > list_nat) > list_nat > a). 0.44/0.71 thf(decl_41, type, hilber1009444354_a_nat: set_a > (a > nat) > nat > a). 0.44/0.71 thf(decl_42, type, hilbert_inv_into_a_a: set_a > (a > a) > a > a). 0.44/0.71 thf(decl_43, type, hilber2037636820comp_a: set_a > list_set_a > $o). 0.44/0.71 thf(decl_44, type, butlast_nat: list_nat > list_nat). 0.44/0.71 thf(decl_45, type, butlast_set_a: list_set_a > list_set_a). 0.44/0.71 thf(decl_46, type, distinct_nat: list_nat > $o). 0.44/0.71 thf(decl_47, type, distinct_set_a: list_set_a > $o). 0.44/0.71 thf(decl_48, type, list_all_nat: (nat > $o) > list_nat > $o). 0.44/0.71 thf(decl_49, type, list_all_set_a: (set_a > $o) > list_set_a > $o). 0.44/0.71 thf(decl_50, type, map_nat_nat: (nat > nat) > list_nat > list_nat). 0.44/0.71 thf(decl_51, type, map_set_nat_set_nat: (set_nat > set_nat) > list_set_nat > list_set_nat). 0.44/0.71 thf(decl_52, type, map_set_a_set_a: (set_a > set_a) > list_set_a > list_set_a). 0.44/0.71 thf(decl_53, type, set_nat2: list_nat > set_nat). 0.44/0.71 thf(decl_54, type, set_set_nat2: list_set_nat > set_set_nat). 0.44/0.71 thf(decl_55, type, set_set_a2: list_set_a > set_set_a). 0.44/0.71 thf(decl_56, type, list_ex_nat: (nat > $o) > list_nat > $o). 0.44/0.71 thf(decl_57, type, list_ex_set_nat: (set_nat > $o) > list_set_nat > $o). 0.44/0.71 thf(decl_58, type, list_ex_set_set_a: (set_set_a > $o) > list_set_set_a > $o). 0.44/0.71 thf(decl_59, type, list_ex_set_a: (set_a > $o) > list_set_a > $o). 0.44/0.71 thf(decl_60, type, list_ex_a: (a > $o) > list_a > $o). 0.44/0.71 thf(decl_61, type, list_update_nat: list_nat > nat > nat > list_nat). 0.44/0.71 thf(decl_62, type, list_update_set_a: list_set_a > nat > set_a > list_set_a). 0.44/0.71 thf(decl_63, type, listset_list_nat: list_set_list_nat > set_list_list_nat). 0.44/0.71 thf(decl_64, type, listset_list_a: list_set_list_a > set_list_list_a). 0.44/0.71 thf(decl_65, type, listset_nat: list_set_nat > set_list_nat). 0.44/0.71 thf(decl_66, type, listset_set_nat: list_set_set_nat > set_list_set_nat). 0.44/0.71 thf(decl_67, type, listset_set_set_a: list_set_set_set_a > set_list_set_set_a). 0.44/0.71 thf(decl_68, type, listset_set_a: list_set_set_a > set_list_set_a). 0.44/0.71 thf(decl_69, type, listset_a: list_set_a > set_list_a). 0.44/0.71 thf(decl_70, type, nth_list_nat: list_list_nat > nat > list_nat). 0.44/0.71 thf(decl_71, type, nth_list_a: list_list_a > nat > list_a). 0.44/0.71 thf(decl_72, type, nth_nat: list_nat > nat > nat). 0.44/0.71 thf(decl_73, type, nth_set_list_nat: list_set_list_nat > nat > set_list_nat). 0.44/0.71 thf(decl_74, type, nth_set_list_a: list_set_list_a > nat > set_list_a). 0.44/0.71 thf(decl_75, type, nth_set_nat: list_set_nat > nat > set_nat). 0.44/0.71 thf(decl_76, type, nth_set_set_nat: list_set_set_nat > nat > set_set_nat). 0.44/0.71 thf(decl_77, type, nth_set_set_set_a: list_set_set_set_a > nat > set_set_set_a). 0.44/0.71 thf(decl_78, type, nth_set_set_a: list_set_set_a > nat > set_set_a). 0.44/0.71 thf(decl_79, type, nth_set_a: list_set_a > nat > set_a). 0.44/0.71 thf(decl_80, type, nth_a: list_a > nat > a). 0.44/0.71 thf(decl_81, type, mset_nat: list_nat > multiset_nat). 0.44/0.71 thf(decl_82, type, mset_set_nat: list_set_nat > multiset_set_nat). 0.44/0.71 thf(decl_83, type, mset_set_set_a: list_set_set_a > multiset_set_set_a). 0.44/0.71 thf(decl_84, type, mset_set_a: list_set_a > multiset_set_a). 0.44/0.71 thf(decl_85, type, mset_a: list_a > multiset_a). 0.44/0.71 thf(decl_86, type, set_mset_nat: multiset_nat > set_nat). 0.44/0.71 thf(decl_87, type, set_mset_set_a: multiset_set_a > set_set_a). 0.44/0.71 thf(decl_88, type, size_s1898481668st_nat: list_list_nat > nat). 0.44/0.71 thf(decl_89, type, size_s1427607542list_a: list_list_a > nat). 0.44/0.71 thf(decl_90, type, size_size_list_nat: list_nat > nat). 0.44/0.71 thf(decl_91, type, size_s2006682426st_nat: list_set_list_nat > nat). 0.44/0.71 thf(decl_92, type, size_s1635937238list_a: list_set_list_a > nat). 0.44/0.71 thf(decl_93, type, size_s577819178et_nat: list_set_nat > nat). 0.44/0.71 thf(decl_94, type, size_s1673263072et_nat: list_set_set_nat > nat). 0.44/0.71 thf(decl_95, type, size_s726512144_set_a: list_set_set_set_a > nat). 0.44/0.71 thf(decl_96, type, size_s739728560_set_a: list_set_set_a > nat). 0.44/0.71 thf(decl_97, type, size_size_list_set_a: list_set_a > nat). 0.44/0.71 thf(decl_98, type, size_size_list_a: list_a > nat). 0.44/0.71 thf(decl_99, type, size_s657334288_set_a: multiset_set_a > nat). 0.44/0.71 thf(decl_100, type, size_size_nat: nat > nat). 0.44/0.71 thf(decl_101, type, ord_less_nat: nat > nat > $o). 0.44/0.71 thf(decl_102, type, ord_le874871146st_nat: set_list_nat > set_list_nat > $o). 0.44/0.71 thf(decl_103, type, ord_less_set_list_a: set_list_a > set_list_a > $o). 0.44/0.71 thf(decl_104, type, ord_less_set_nat: set_nat > set_nat > $o). 0.44/0.71 thf(decl_105, type, ord_less_set_set_nat: set_set_nat > set_set_nat > $o). 0.44/0.71 thf(decl_106, type, ord_less_set_set_a: set_set_a > set_set_a > $o). 0.44/0.71 thf(decl_107, type, ord_less_set_a: set_a > set_a > $o). 0.44/0.71 thf(decl_108, type, ord_less_eq_nat: nat > nat > $o). 0.44/0.71 thf(decl_109, type, ord_le1301786372list_a: set_list_a > set_list_a > $o). 0.44/0.71 thf(decl_110, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.44/0.71 thf(decl_111, type, ord_less_eq_set_a: set_a > set_a > $o). 0.44/0.71 thf(decl_112, type, perm_nat: list_nat > list_nat > $o). 0.44/0.71 thf(decl_113, type, perm_set_nat: list_set_nat > list_set_nat > $o). 0.44/0.71 thf(decl_114, type, perm_set_set_a: list_set_set_a > list_set_set_a > $o). 0.44/0.71 thf(decl_115, type, perm_set_a: list_set_a > list_set_a > $o). 0.44/0.71 thf(decl_116, type, perm_a: list_a > list_a > $o). 0.44/0.71 thf(decl_117, type, collect_list_nat: (list_nat > $o) > set_list_nat). 0.44/0.71 thf(decl_118, type, collect_list_a: (list_a > $o) > set_list_a). 0.44/0.71 thf(decl_119, type, collect_nat: (nat > $o) > set_nat). 0.44/0.71 thf(decl_120, type, collect_set_nat: (set_nat > $o) > set_set_nat). 0.44/0.71 thf(decl_121, type, collect_set_a: (set_a > $o) > set_set_a). 0.44/0.71 thf(decl_122, type, collect_a: (a > $o) > set_a). 0.44/0.71 thf(decl_123, type, image_list_nat_nat: (list_nat > nat) > set_list_nat > set_nat). 0.44/0.71 thf(decl_124, type, image_list_nat_a: (list_nat > a) > set_list_nat > set_a). 0.44/0.71 thf(decl_125, type, image_list_a_nat: (list_a > nat) > set_list_a > set_nat). 0.44/0.71 thf(decl_126, type, image_nat_list_nat: (nat > list_nat) > set_nat > set_list_nat). 0.44/0.71 thf(decl_127, type, image_nat_list_a: (nat > list_a) > set_nat > set_list_a). 0.44/0.71 thf(decl_128, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 0.44/0.71 thf(decl_129, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat). 0.44/0.71 thf(decl_130, type, image_nat_set_a: (nat > set_a) > set_nat > set_set_a). 0.44/0.71 thf(decl_131, type, image_nat_a: (nat > a) > set_nat > set_a). 0.44/0.71 thf(decl_132, type, image_set_nat_nat: (set_nat > nat) > set_set_nat > set_nat). 0.44/0.71 thf(decl_133, type, image_set_a_nat: (set_a > nat) > set_set_a > set_nat). 0.44/0.71 thf(decl_134, type, image_a_list_nat: (a > list_nat) > set_a > set_list_nat). 0.44/0.71 thf(decl_135, type, image_a_nat: (a > nat) > set_a > set_nat). 0.44/0.71 thf(decl_136, type, image_a_a: (a > a) > set_a > set_a). 0.44/0.71 thf(decl_137, type, set_ord_lessThan_nat: nat > set_nat). 0.44/0.71 thf(decl_138, type, set_or1597314339et_nat: set_nat > set_set_nat). 0.44/0.71 thf(decl_139, type, set_or1164043265_set_a: set_a > set_set_a). 0.44/0.71 thf(decl_140, type, member_list_list_nat: list_list_nat > set_list_list_nat > $o). 0.44/0.71 thf(decl_141, type, member_list_list_a: list_list_a > set_list_list_a > $o). 0.44/0.71 thf(decl_142, type, member_list_nat: list_nat > set_list_nat > $o). 0.44/0.71 thf(decl_143, type, member_list_set_nat: list_set_nat > set_list_set_nat > $o). 0.44/0.71 thf(decl_144, type, member814963949_set_a: list_set_set_a > set_list_set_set_a > $o). 0.44/0.71 thf(decl_145, type, member_list_set_a: list_set_a > set_list_set_a > $o). 0.44/0.71 thf(decl_146, type, member_list_a: list_a > set_list_a > $o). 0.44/0.71 thf(decl_147, type, member_nat: nat > set_nat > $o). 0.44/0.71 thf(decl_148, type, member_set_nat: set_nat > set_set_nat > $o). 0.44/0.71 thf(decl_149, type, member_set_set_a: set_set_a > set_set_set_a > $o). 0.44/0.71 thf(decl_150, type, member_set_a: set_a > set_set_a > $o). 0.44/0.71 thf(decl_151, type, member_a: a > set_a > $o). 0.44/0.71 thf(decl_152, type, a2: set_a). 0.44/0.71 thf(decl_153, type, f: nat > nat). 0.44/0.71 thf(decl_154, type, g: nat > nat). 0.44/0.71 thf(decl_155, type, i: nat). 0.44/0.71 thf(decl_156, type, ss1: list_set_a). 0.44/0.71 thf(decl_157, type, ss2: list_set_a). 0.44/0.71 thf(decl_158, type, esk1_0: nat > nat). 0.44/0.71 thf(decl_159, type, esk2_0: nat > nat). 0.44/0.71 thf(decl_160, type, esk3_2: list_set_set_a > list_set_set_a > nat). 0.44/0.71 thf(decl_161, type, esk4_2: list_set_nat > list_set_nat > nat). 0.44/0.71 thf(decl_162, type, esk5_2: list_nat > list_nat > nat). 0.44/0.71 thf(decl_163, type, esk6_2: list_a > list_a > nat). 0.44/0.71 thf(decl_164, type, esk7_2: list_set_a > list_set_a > nat). 0.44/0.71 thf(decl_165, type, esk8_2: nat > (nat > set_set_a > $o) > nat). 0.44/0.71 thf(decl_166, type, esk9_2: nat > (nat > set_set_a > $o) > list_set_set_a). 0.44/0.71 thf(decl_167, type, esk10_3: nat > (nat > set_set_a > $o) > list_set_set_a > nat). 0.44/0.71 thf(decl_168, type, esk11_3: nat > (nat > set_set_a > $o) > nat > set_set_a). 0.44/0.71 thf(decl_169, type, esk12_2: nat > (nat > set_nat > $o) > nat). 0.44/0.71 thf(decl_170, type, esk13_2: nat > (nat > set_nat > $o) > list_set_nat). 0.44/0.71 thf(decl_171, type, esk14_3: nat > (nat > set_nat > $o) > list_set_nat > nat). 0.44/0.71 thf(decl_172, type, esk15_3: nat > (nat > set_nat > $o) > nat > set_nat). 0.44/0.71 thf(decl_173, type, esk16_2: nat > (nat > nat > $o) > nat). 0.44/0.71 thf(decl_174, type, esk17_2: nat > (nat > nat > $o) > list_nat). 0.44/0.71 thf(decl_175, type, esk18_3: nat > (nat > nat > $o) > list_nat > nat). 0.44/0.71 thf(decl_176, type, esk19_3: nat > (nat > nat > $o) > nat > nat). 0.44/0.71 thf(decl_177, type, esk20_2: nat > (nat > a > $o) > nat). 0.44/0.71 thf(decl_178, type, esk21_2: nat > (nat > a > $o) > list_a). 0.44/0.71 thf(decl_179, type, esk22_3: nat > (nat > a > $o) > list_a > nat). 0.44/0.71 thf(decl_180, type, esk23_3: nat > (nat > a > $o) > nat > a). 0.44/0.71 thf(decl_181, type, esk24_2: nat > (nat > set_a > $o) > nat). 0.44/0.71 thf(decl_182, type, esk25_2: nat > (nat > set_a > $o) > list_set_a). 0.44/0.71 thf(decl_183, type, esk26_3: nat > (nat > set_a > $o) > list_set_a > nat). 0.44/0.71 thf(decl_184, type, esk27_3: nat > (nat > set_a > $o) > nat > set_a). 0.44/0.71 thf(decl_185, type, esk28_2: list_set_set_a > list_set_set_a > nat). 0.44/0.71 thf(decl_186, type, esk29_2: list_set_nat > list_set_nat > nat). 0.44/0.71 thf(decl_187, type, esk30_2: list_nat > list_nat > nat). 0.44/0.71 thf(decl_188, type, esk31_2: list_a > list_a > nat). 0.44/0.71 thf(decl_189, type, esk32_2: list_set_a > list_set_a > nat). 0.44/0.71 thf(decl_190, type, esk33_3: (nat > nat) > set_nat > (nat > $o) > nat). 0.44/0.71 thf(decl_191, type, esk34_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 0.44/0.71 thf(decl_192, type, esk35_3: (nat > nat) > set_nat > (nat > $o) > nat). 0.44/0.71 thf(decl_193, type, esk36_3: nat > (nat > nat) > set_nat > nat). 0.44/0.71 thf(decl_194, type, esk37_1: nat > list_set_set_a). 0.44/0.71 thf(decl_195, type, esk38_1: nat > list_set_nat). 0.44/0.71 thf(decl_196, type, esk39_1: nat > list_nat). 0.44/0.71 thf(decl_197, type, esk40_1: nat > list_a). 0.44/0.71 thf(decl_198, type, esk41_1: nat > list_set_a). 0.44/0.71 thf(decl_199, type, esk42_1: (list_set_set_a > $o) > list_set_set_a). 0.44/0.71 thf(decl_200, type, esk43_1: (list_set_nat > $o) > list_set_nat). 0.44/0.71 thf(decl_201, type, esk44_1: (list_nat > $o) > list_nat). 0.44/0.71 thf(decl_202, type, esk45_1: (list_a > $o) > list_a). 0.44/0.71 thf(decl_203, type, esk46_1: (list_set_a > $o) > list_set_a). 0.44/0.71 thf(decl_204, type, esk47_2: list_set_set_a > list_set_set_a > nat > nat). 0.44/0.71 thf(decl_205, type, esk48_2: list_set_nat > list_set_nat > nat > nat). 0.44/0.71 thf(decl_206, type, esk49_2: list_nat > list_nat > nat > nat). 0.44/0.71 thf(decl_207, type, esk50_2: list_a > list_a > nat > nat). 0.44/0.71 thf(decl_208, type, esk51_2: list_set_a > list_set_a > nat > nat). 0.44/0.71 thf(decl_209, type, esk52_4: list_set_set_a > list_set_set_set_a > (nat > nat) > list_set_set_set_a > nat). 0.44/0.71 thf(decl_210, type, esk53_4: list_set_set_a > list_set_set_set_a > (nat > nat) > list_set_set_set_a > list_set_set_a). 0.44/0.71 thf(decl_211, type, esk54_4: list_set_nat > list_set_set_nat > (nat > nat) > list_set_set_nat > nat). 0.44/0.71 thf(decl_212, type, esk55_4: list_set_nat > list_set_set_nat > (nat > nat) > list_set_set_nat > list_set_nat). 0.44/0.71 thf(decl_213, type, esk56_4: list_nat > list_set_nat > (nat > nat) > list_set_nat > nat). 0.44/0.71 thf(decl_214, type, esk57_4: list_nat > list_set_nat > (nat > nat) > list_set_nat > list_nat). 0.44/0.71 thf(decl_215, type, esk58_4: list_set_a > list_set_set_a > (nat > nat) > list_set_set_a > nat). 0.44/0.71 thf(decl_216, type, esk59_4: list_set_a > list_set_set_a > (nat > nat) > list_set_set_a > list_set_a). 0.44/0.71 thf(decl_217, type, esk60_4: list_a > list_set_a > (nat > nat) > list_set_a > nat). 0.44/0.71 thf(decl_218, type, esk61_4: list_a > list_set_a > (nat > nat) > list_set_a > list_a). 0.44/0.71 thf(decl_219, type, esk62_3: (nat > nat) > list_set_set_a > list_set_set_a > nat). 0.44/0.71 thf(decl_220, type, esk63_3: (nat > nat) > list_set_nat > list_set_nat > nat). 0.44/0.71 thf(decl_221, type, esk64_3: (nat > nat) > list_nat > list_nat > nat). 0.44/0.71 thf(decl_222, type, esk65_3: (nat > nat) > list_a > list_a > nat). 0.44/0.71 thf(decl_223, type, esk66_3: (nat > nat) > list_set_a > list_set_a > nat). 0.44/0.71 thf(decl_224, type, esk67_2: (set_set_a > $o) > list_set_set_a > nat). 0.44/0.71 thf(decl_225, type, esk68_2: (set_nat > $o) > list_set_nat > nat). 0.44/0.71 thf(decl_226, type, esk69_2: (nat > $o) > list_nat > nat). 0.44/0.71 thf(decl_227, type, esk70_2: (a > $o) > list_a > nat). 0.44/0.71 thf(decl_228, type, esk71_2: (set_a > $o) > list_set_a > nat). 0.44/0.71 thf(decl_229, type, esk72_2: list_list_nat > list_set_list_nat > nat). 0.44/0.71 thf(decl_230, type, esk73_2: list_list_a > list_set_list_a > nat). 0.44/0.71 thf(decl_231, type, esk74_2: list_set_set_a > list_set_set_set_a > nat). 0.44/0.71 thf(decl_232, type, esk75_2: list_set_nat > list_set_set_nat > nat). 0.44/0.71 thf(decl_233, type, esk76_2: list_nat > list_set_nat > nat). 0.44/0.71 thf(decl_234, type, esk77_2: list_a > list_set_a > nat). 0.44/0.71 thf(decl_235, type, esk78_2: list_set_a > list_set_set_a > nat). 0.44/0.71 thf(decl_236, type, esk79_2: (nat > $o) > (nat > $o) > nat). 0.44/0.71 thf(decl_237, type, esk80_3: (set_a > nat) > set_set_a > set_nat > nat > set_a). 0.44/0.71 thf(decl_238, type, esk81_3: (nat > set_a) > set_nat > set_set_a > set_a > nat). 0.44/0.71 thf(decl_239, type, esk82_3: (nat > nat) > set_nat > set_nat > nat > nat). 0.44/0.71 thf(decl_240, type, esk83_3: set_nat > (nat > set_a) > (nat > set_a) > nat). 0.44/0.71 thf(decl_241, type, esk84_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.44/0.71 thf(decl_242, type, esk85_3: (nat > nat) > set_nat > set_nat > nat > nat). 0.44/0.71 thf(decl_243, type, esk86_4: (nat > nat) > set_nat > set_nat > (nat > nat) > nat). 0.44/0.71 thf(decl_244, type, esk87_4: (nat > nat) > set_nat > set_nat > (nat > nat) > nat). 0.44/0.71 thf(decl_245, type, esk88_2: (set_a > $o) > list_set_a > nat). 0.44/0.71 thf(decl_246, type, esk89_2: set_nat > (nat > nat) > nat). 0.44/0.71 thf(decl_247, type, esk90_2: set_nat > (nat > nat) > nat). 0.44/0.71 thf(decl_248, type, esk91_3: set_nat > (nat > nat) > set_nat > nat). 0.44/0.71 thf(decl_249, type, esk92_3: set_nat > (nat > nat) > set_nat > nat). 0.44/0.71 thf(decl_250, type, esk93_2: set_nat > set_nat > nat). 0.44/0.71 thf(decl_251, type, esk94_2: set_nat > set_nat > nat). 0.44/0.71 thf(decl_252, type, esk95_2: set_nat > set_nat > nat). 0.44/0.71 thf(decl_253, type, esk96_2: list_nat > (nat > nat) > nat). 0.44/0.71 thf(decl_254, type, esk97_2: list_nat > set_nat > nat). 0.44/0.71 thf(decl_255, type, esk98_3: list_nat > list_set_nat > (nat > nat) > set_nat). 0.44/0.71 thf(decl_256, type, esk99_3: list_nat > list_set_nat > (nat > nat) > nat). 0.44/0.71 thf(decl_257, type, esk100_3: list_nat > (nat > nat) > list_set_nat > list_nat). 0.44/0.71 thf(decl_258, type, esk101_3: set_nat > (nat > nat) > set_nat > nat). 0.44/0.71 thf(decl_259, type, esk102_3: set_nat > (nat > nat) > set_nat > set_nat). 0.44/0.71 thf(decl_260, type, esk103_3: (nat > nat) > set_nat > set_nat > nat). 0.44/0.71 thf(decl_261, type, esk104_3: set_nat > (nat > nat) > set_nat > set_nat). 0.44/0.71 thf(decl_262, type, esk105_3: (nat > $o) > list_nat > (nat > $o) > nat). 0.44/0.71 thf(decl_263, type, esk106_4: list_nat > list_nat > (nat > $o) > (nat > $o) > nat). 0.44/0.71 thf(decl_264, type, esk107_2: list_nat > nat > nat). 0.44/0.71 thf(decl_265, type, esk108_2: list_set_a > set_a > nat). 0.44/0.71 thf(decl_266, type, esk109_4: list_nat > list_nat > (nat > $o) > (nat > $o) > nat). 0.44/0.71 thf(decl_267, type, esk110_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.44/0.71 thf(decl_268, type, esk111_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.44/0.71 thf(decl_269, type, esk112_2: list_set_a > list_set_a > nat). 0.44/0.71 thf(decl_270, type, esk113_1: list_set_a > nat). 0.44/0.71 thf(decl_271, type, esk114_1: list_set_a > nat). 0.44/0.71 thf(decl_272, type, esk115_3: nat > list_set_a > (set_a > $o) > set_a). 0.44/0.71 thf(decl_273, type, esk116_2: nat > list_nat > nat). 0.44/0.71 thf(decl_274, type, esk117_2: set_a > list_set_a > nat). 0.44/0.71 thf(decl_275, type, esk118_2: list_nat > (nat > $o) > nat). 0.44/0.71 thf(decl_276, type, esk119_2: list_set_a > (set_a > $o) > nat). 0.44/0.71 thf(decl_277, type, esk120_2: list_set_a > (set_a > $o) > set_a). 0.44/0.71 thf(decl_278, type, esk121_2: list_set_a > (set_a > $o) > nat). 0.44/0.71 thf(decl_279, type, esk122_1: (nat > $o) > nat). 0.44/0.71 thf(decl_280, type, esk123_1: (nat > $o) > nat). 0.44/0.71 thf(decl_281, type, esk124_1: list_set_a > nat). 0.44/0.71 thf(decl_282, type, esk125_1: list_set_a > nat). 0.44/0.71 thf(decl_283, type, esk126_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 0.44/0.71 thf(decl_284, type, esk127_3: (nat > nat) > set_nat > (set_nat > $o) > set_nat). 0.44/0.71 thf(decl_285, type, esk128_3: nat > nat > (nat > $o) > nat). 0.44/0.71 thf(decl_286, type, esk129_4: nat > nat > (nat > $o) > nat > nat). 0.44/0.71 thf(decl_287, type, esk130_1: (nat > nat) > nat). 0.44/0.71 thf(decl_288, type, esk131_1: (nat > nat) > nat). 0.44/0.71 thf(decl_289, type, esk132_3: nat > set_nat > (nat > $o) > nat). 0.44/0.71 thf(decl_290, type, esk133_3: list_set_a > set_list_set_a > (list_set_a > $o) > list_set_a). 0.44/0.71 thf(decl_291, type, esk134_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_292, type, esk135_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_293, type, esk136_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_294, type, esk137_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_295, type, esk138_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_296, type, esk139_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_297, type, esk140_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_298, type, esk141_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_299, type, esk142_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_300, type, esk143_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_301, type, esk144_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_302, type, esk145_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_303, type, esk146_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_304, type, esk147_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_305, type, esk148_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_306, type, esk149_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_307, type, esk150_1: (nat > nat > $o) > nat). 0.44/0.71 thf(decl_308, type, esk151_1: (nat > $o) > nat). 0.44/0.71 thf(decl_309, type, esk152_2: (nat > $o) > nat > nat). 0.44/0.71 thf(decl_310, type, esk153_1: (nat > $o) > nat). 0.44/0.71 thf(decl_311, type, esk154_1: (nat > $o) > nat). 0.44/0.71 thf(decl_312, type, esk155_1: nat > nat). 0.44/0.71 thf(decl_313, type, esk156_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_314, type, esk157_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_315, type, esk158_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_316, type, esk159_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_317, type, esk160_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_318, type, esk161_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_319, type, esk162_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_320, type, esk163_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_321, type, esk164_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_322, type, esk165_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_323, type, esk166_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_324, type, esk167_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_325, type, esk168_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_326, type, esk169_4: nat > (nat > nat) > nat > nat > nat). 0.44/0.71 thf(decl_327, type, esk170_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_328, type, esk171_4: nat > nat > (nat > nat) > nat > nat). 0.44/0.71 thf(decl_329, type, epred1_1: set_list_nat > list_nat > $o). 0.44/0.71 thf(decl_330, type, epred2_1: set_list_a > list_a > $o). 0.44/0.71 thf(decl_331, type, epred3_1: set_set_nat > set_nat > $o). 0.44/0.71 thf(decl_332, type, epred4_1: set_set_a > set_a > $o). 0.44/0.71 thf(decl_333, type, epred5_1: set_a > a > $o). 0.44/0.71 thf(decl_334, type, epred6_1: set_nat > nat > $o). 0.44/0.71 thf(fact_113_bij__betw__imp__surj__on, axiom, ![X63:nat > nat, X64:set_nat, X91:set_nat]:(((bij_betw_nat_nat @ X63 @ X64 @ X91)=>((image_nat_nat @ X63 @ X64)=(X91)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_113_bij__betw__imp__surj__on)). 0.44/0.71 thf(fact_3_f__bij, axiom, (bij_betw_nat_nat @ f @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)) @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_3_f__bij)). 0.44/0.71 thf(fact_7_len__ss1, axiom, ((size_size_list_set_a @ ss1)=(size_size_list_set_a @ ss2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_7_len__ss1)). 0.44/0.71 thf(fact_49_f__inv__into__f, axiom, ![X61:nat, X63:nat > nat, X64:set_nat]:(((member_nat @ X61 @ (image_nat_nat @ X63 @ X64))=>((X63 @ (hilber815131374at_nat @ X64 @ X63 @ X61))=(X61)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_49_f__inv__into__f)). 0.44/0.71 thf(fact_1_g__def, axiom, ((g)=(hilber815131374at_nat @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)) @ f)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_g__def)). 0.44/0.71 thf(fact_13_lessThan__iff, axiom, ![X1:nat, X8:nat]:(((member_nat @ X1 @ (set_ord_lessThan_nat @ X8))<=>(ord_less_nat @ X1 @ X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_13_lessThan__iff)). 0.44/0.71 thf(fact_2_that, axiom, (ord_less_nat @ i @ (size_size_list_set_a @ ss1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2_that)). 0.44/0.71 thf(conj_0, conjecture, ((f @ (g @ i))=(i)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.44/0.71 thf(c_0_8, plain, ![X2048:nat > nat, X2049:set_nat, X2050:set_nat]:((~(bij_betw_nat_nat @ X2048 @ X2049 @ X2050)|((image_nat_nat @ X2048 @ X2049)=(X2050)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_113_bij__betw__imp__surj__on])])). 0.44/0.71 thf(c_0_9, plain, (bij_betw_nat_nat @ f @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)) @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss1))), inference(split_conjunct,[status(thm)],[fact_3_f__bij])). 0.44/0.71 thf(c_0_10, plain, ((size_size_list_set_a @ ss1)=(size_size_list_set_a @ ss2)), inference(split_conjunct,[status(thm)],[fact_7_len__ss1])). 0.44/0.71 thf(c_0_11, plain, ![X1842:nat, X1843:nat > nat, X1844:set_nat]:((~(member_nat @ X1842 @ (image_nat_nat @ X1843 @ X1844))|((X1843 @ (hilber815131374at_nat @ X1844 @ X1843 @ X1842))=(X1842)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_49_f__inv__into__f])])). 0.44/0.71 thf(c_0_12, plain, ![X2:nat > nat, X6:set_nat, X7:set_nat]:((((image_nat_nat @ X2 @ X6)=(X7))|~((bij_betw_nat_nat @ X2 @ X6 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.44/0.71 thf(c_0_13, plain, (bij_betw_nat_nat @ f @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)) @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2))), inference(rw,[status(thm)],[c_0_9, c_0_10])). 0.44/0.71 thf(c_0_14, plain, ((g)=(hilber815131374at_nat @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)) @ f)), inference(split_conjunct,[status(thm)],[fact_1_g__def])). 0.44/0.71 thf(c_0_15, plain, ![X1660:nat, X1661:nat]:(((~(member_nat @ X1660 @ (set_ord_lessThan_nat @ X1661))|(ord_less_nat @ X1660 @ X1661))&(~(ord_less_nat @ X1660 @ X1661)|(member_nat @ X1660 @ (set_ord_lessThan_nat @ X1661))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_13_lessThan__iff])])). 0.44/0.71 thf(c_0_16, plain, (ord_less_nat @ i @ (size_size_list_set_a @ ss1)), inference(split_conjunct,[status(thm)],[fact_2_that])). 0.44/0.71 thf(c_0_17, plain, ![X1:nat, X2:nat > nat, X6:set_nat]:((((X2 @ (hilber815131374at_nat @ X6 @ X2 @ X1))=(X1))|~((member_nat @ X1 @ (image_nat_nat @ X2 @ X6))))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.44/0.71 thf(c_0_18, plain, ((image_nat_nat @ f @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)))=(set_ord_lessThan_nat @ (size_size_list_set_a @ ss2))), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.44/0.71 thf(c_0_19, plain, ![X1:nat]:(((hilber815131374at_nat @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)) @ f @ X1)=(g @ X1))), inference(arg_cong,[status(thm)],[c_0_14])). 0.44/0.71 thf(c_0_20, plain, ![X1:nat, X3:nat]:(((member_nat @ X1 @ (set_ord_lessThan_nat @ X3))|~((ord_less_nat @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.44/0.71 thf(c_0_21, plain, (ord_less_nat @ i @ (size_size_list_set_a @ ss2)), inference(rw,[status(thm)],[c_0_16, c_0_10])). 0.44/0.71 thf(c_0_22, negated_conjecture, ((f @ (g @ i))!=(i)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.44/0.71 thf(c_0_23, plain, ![X1:nat]:((((f @ (g @ X1))=(X1))|~((member_nat @ X1 @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])). 0.44/0.71 thf(c_0_24, plain, (member_nat @ i @ (set_ord_lessThan_nat @ (size_size_list_set_a @ ss2))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.44/0.71 thf(c_0_25, negated_conjecture, ((f @ (g @ i))!=(i)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.44/0.71 thf(c_0_26, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25]), ['proof']). 0.44/0.71 # SZS output end CNFRefutation 0.44/0.71 # Parsed axioms : 519 0.44/0.71 # Removed by relevancy pruning/SinE : 0 0.44/0.71 # Initial clauses : 874 0.44/0.71 # Removed in clause preprocessing : 190 0.44/0.71 # Initial clauses in saturation : 684 0.44/0.71 # Processed clauses : 1172 0.44/0.71 # ...of these trivial : 16 0.44/0.71 # ...subsumed : 194 0.44/0.71 # ...remaining for further processing : 962 0.44/0.71 # Other redundant clauses eliminated : 100 0.44/0.71 # Clauses deleted for lack of memory : 0 0.44/0.71 # Backward-subsumed : 4 0.44/0.71 # Backward-rewritten : 6 0.44/0.71 # Generated clauses : 1179 0.44/0.71 # ...of the previous two non-redundant : 978 0.44/0.71 # ...aggressively subsumed : 0 0.44/0.71 # Contextual simplify-reflections : 4 0.44/0.71 # Paramodulations : 1069 0.44/0.71 # Factorizations : 4 0.44/0.71 # NegExts : 0 0.44/0.71 # Equation resolutions : 106 0.44/0.71 # Propositional unsat checks : 0 0.44/0.71 # Propositional check models : 0 0.44/0.71 # Propositional check unsatisfiable : 0 0.44/0.71 # Propositional clauses : 0 0.44/0.71 # Propositional clauses after purity: 0 0.44/0.71 # Propositional unsat core size : 0 0.44/0.71 # Propositional preprocessing time : 0.000 0.44/0.71 # Propositional encoding time : 0.000 0.44/0.71 # Propositional solver time : 0.000 0.44/0.71 # Success case prop preproc time : 0.000 0.44/0.71 # Success case prop encoding time : 0.000 0.44/0.71 # Success case prop solver time : 0.000 0.44/0.71 # Current number of processed clauses : 348 0.44/0.71 # Positive orientable unit clauses : 86 0.44/0.71 # Positive unorientable unit clauses: 0 0.44/0.71 # Negative unit clauses : 11 0.44/0.71 # Non-unit-clauses : 251 0.44/0.71 # Current number of unprocessed clauses: 991 0.44/0.71 # ...number of literals in the above : 2417 0.44/0.71 # Current number of archived formulas : 0 0.44/0.71 # Current number of archived clauses : 516 0.44/0.71 # Clause-clause subsumption calls (NU) : 61050 0.44/0.71 # Rec. Clause-clause subsumption calls : 38027 0.44/0.71 # Non-unit clause-clause subsumptions : 163 0.44/0.71 # Unit Clause-clause subsumption calls : 305 0.44/0.71 # Rewrite failures with RHS unbound : 0 0.44/0.71 # BW rewrite match attempts : 18 0.44/0.71 # BW rewrite match successes : 5 0.44/0.71 # Condensation attempts : 0 0.44/0.71 # Condensation successes : 0 0.44/0.71 # Termbank termtop insertions : 78130 0.44/0.71 0.44/0.71 # ------------------------------------------------- 0.44/0.71 # User time : 0.209 s 0.44/0.71 # System time : 0.016 s 0.44/0.71 # Total time : 0.225 s 0.44/0.71 # Maximum resident set size: 5888 pages 0.44/0.71 0.44/0.71 # ------------------------------------------------- 0.44/0.71 # User time : 0.226 s 0.44/0.71 # System time : 0.018 s 0.44/0.71 # Total time : 0.244 s 0.44/0.71 # Maximum resident set size: 2708 pages 0.44/0.72 EOF