0.11/0.31 % Problem : SLH0456^1 : TPTP v8.2.0. Released v8.2.0. 0.30/0.32 % Command : run_E %s %d THM 0.33/0.53 % Computer : n027.cluster.edu 0.33/0.53 % Model : x86_64 x86_64 0.33/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.33/0.53 % Memory : 8042.1875MB 0.33/0.53 % OS : Linux 3.10.0-693.el7.x86_64 0.33/0.53 % CPULimit : 30 0.33/0.53 % WCLimit : 30 0.33/0.53 % DateTime : Mon Jul 3 08:50:17 EDT 2023 0.33/0.53 % CPUTime : 0.46/0.65 The problem SPC is TH0_THM_EQU_NAR 0.46/0.65 Running higher-order on 1 cores theorem proving 0.46/0.65 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/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355 0.51/0.65 # Version: 3.0pre003-ho 28.23/28.41 # partial match(1): HSLMSMSSSSMNHSA 28.23/28.41 # Preprocessing class: HMLMSMSSSSMNHSA. 28.23/28.41 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 28.23/28.41 # Starting new_ho_10 with 30s (1) cores 28.23/28.41 # new_ho_10 with pid 26534 completed with status 0 28.23/28.41 # Result found by new_ho_10 28.23/28.41 # partial match(1): HSLMSMSSSSMNHSA 28.23/28.41 # Preprocessing class: HMLMSMSSSSMNHSA. 28.23/28.41 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 28.23/28.41 # Starting new_ho_10 with 30s (1) cores 28.23/28.41 # SinE strategy is gf600_h_gu_R05_F100_L20000 28.23/28.41 # ...ProofStateSinE()=1237/1412 28.23/28.41 # Search class: HGHSM-SMLM32-MHSFFFBN 28.23/28.41 # partial match(1): HGHSM-SMLM32-MHSFFSBN 28.23/28.41 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 28.23/28.41 # Starting sh2 with 13s (1) cores 28.23/28.41 # sh2 with pid 26535 completed with status 7 28.23/28.41 # Starting new_ho_10 with 4s (1) cores 28.23/28.41 # new_ho_10 with pid 26536 completed with status 7 28.23/28.41 # Starting sh2lt with 5s (1) cores 28.23/28.41 # sh2lt with pid 26537 completed with status 7 28.23/28.41 # Starting full_lambda_10 with 3s (1) cores 28.23/28.41 # full_lambda_10 with pid 26538 completed with status 7 28.23/28.41 # Starting full_lambda_4 with 3s (1) cores 28.23/28.41 # full_lambda_4 with pid 26539 completed with status 0 28.23/28.41 # Result found by full_lambda_4 28.23/28.41 # partial match(1): HSLMSMSSSSMNHSA 28.23/28.41 # Preprocessing class: HMLMSMSSSSMNHSA. 28.23/28.41 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 28.23/28.41 # Starting new_ho_10 with 30s (1) cores 28.23/28.41 # SinE strategy is gf600_h_gu_R05_F100_L20000 28.23/28.41 # ...ProofStateSinE()=1237/1412 28.23/28.41 # Search class: HGHSM-SMLM32-MHSFFFBN 28.23/28.41 # partial match(1): HGHSM-SMLM32-MHSFFSBN 28.23/28.41 # Scheduled 6 strats onto 1 cores with 30 seconds (30 total) 28.23/28.41 # Starting sh2 with 13s (1) cores 28.23/28.41 # sh2 with pid 26535 completed with status 7 28.23/28.41 # Starting new_ho_10 with 4s (1) cores 28.23/28.41 # new_ho_10 with pid 26536 completed with status 7 28.23/28.41 # Starting sh2lt with 5s (1) cores 28.23/28.41 # sh2lt with pid 26537 completed with status 7 28.23/28.41 # Starting full_lambda_10 with 3s (1) cores 28.23/28.41 # full_lambda_10 with pid 26538 completed with status 7 28.23/28.41 # Starting full_lambda_4 with 3s (1) cores 28.23/28.41 # Preprocessing time : 0.034 s 28.23/28.41 # Presaturation interreduction done 28.23/28.41 28.23/28.41 # Proof found! 28.23/28.41 # SZS status Theorem 28.23/28.41 # SZS output start CNFRefutation 28.23/28.41 thf(decl_22, type, plus_plus_nat: nat > nat > nat). 28.23/28.41 thf(decl_23, type, if_list_list_a: $o > list_list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_24, type, if_list_a: $o > list_a > list_a > list_a). 28.23/28.41 thf(decl_25, type, inf_inf_nat: nat > nat > nat). 28.23/28.41 thf(decl_26, type, inf_inf_set_list_a: set_list_a > set_list_a > set_list_a). 28.23/28.41 thf(decl_27, type, inf_inf_set_a: set_a > set_a > set_a). 28.23/28.41 thf(decl_28, type, append_list_a: list_list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_29, type, append_a: list_a > list_a > list_a). 28.23/28.41 thf(decl_30, type, last_list_a: list_list_a > list_a). 28.23/28.41 thf(decl_31, type, last_a: list_a > a). 28.23/28.41 thf(decl_32, type, cons_list_a: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_33, type, cons_a: a > list_a > list_a). 28.23/28.41 thf(decl_34, type, nil_list_a: list_list_a). 28.23/28.41 thf(decl_35, type, nil_a: list_a). 28.23/28.41 thf(decl_36, type, hd_list_a: list_list_a > list_a). 28.23/28.41 thf(decl_37, type, hd_a: list_a > a). 28.23/28.41 thf(decl_38, type, set_list_a2: list_list_a > set_list_a). 28.23/28.41 thf(decl_39, type, set_a2: list_a > set_a). 28.23/28.41 thf(decl_40, type, tl_list_a: list_list_a > list_list_a). 28.23/28.41 thf(decl_41, type, tl_a: list_a > list_a). 28.23/28.41 thf(decl_42, type, rotate1_a: list_a > list_a). 28.23/28.41 thf(decl_43, type, size_size_list_a: list_a > nat). 28.23/28.41 thf(decl_44, type, bot_bot_list_a_o: list_a > $o). 28.23/28.41 thf(decl_45, type, bot_bot_a_o: a > $o). 28.23/28.41 thf(decl_46, type, bot_bot_nat: nat). 28.23/28.41 thf(decl_47, type, bot_bot_set_list_a: set_list_a). 28.23/28.41 thf(decl_48, type, bot_bot_set_a: set_a). 28.23/28.41 thf(decl_49, type, ord_less_eq_nat: nat > nat > $o). 28.23/28.41 thf(decl_50, type, ord_le8861187494160871172list_a: set_list_a > set_list_a > $o). 28.23/28.41 thf(decl_51, type, ord_less_eq_set_a: set_a > set_a > $o). 28.23/28.41 thf(decl_52, type, cohere6429906645900029933list_a: (list_a > list_a > list_a) > set_list_a > $o). 28.23/28.41 thf(decl_53, type, cohere6072184133013167079_rts_a: (a > a > a) > set_a > $o). 28.23/28.41 thf(decl_54, type, cohere7668497385502133386list_a: (list_a > list_a > list_a) > set_list_a > $o). 28.23/28.41 thf(decl_55, type, cohere4894532172567702276ioms_a: (a > a > a) > set_a > $o). 28.23/28.41 thf(decl_56, type, normal6589580540804570479list_a: (list_a > list_a > list_a) > set_list_a > $o). 28.23/28.41 thf(decl_57, type, normal_sub_rts_a: (a > a > a) > set_a > $o). 28.23/28.41 thf(decl_58, type, normal4889798360446511898list_a: (list_a > list_a > list_a) > set_list_a > list_a > list_a > $o). 28.23/28.41 thf(decl_59, type, normal_sub_Cong_a: (a > a > a) > set_a > a > a > $o). 28.23/28.41 thf(decl_60, type, normal2939518615156061708list_a: (list_a > list_a > list_a) > set_list_a > $o). 28.23/28.41 thf(decl_61, type, normal7698203753654205830ioms_a: (a > a > a) > set_a > $o). 28.23/28.41 thf(decl_62, type, partial_magma_list_a: (list_a > list_a > list_a) > $o). 28.23/28.41 thf(decl_63, type, partial_magma_a: (a > a > a) > $o). 28.23/28.41 thf(decl_64, type, partia5616633150074602416list_a: (list_list_a > list_list_a > list_list_a) > list_list_a). 28.23/28.41 thf(decl_65, type, partial_null_list_a: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_66, type, partial_null_a: (a > a > a) > a). 28.23/28.41 thf(decl_67, type, paths_in_rts_list_a: (list_a > list_a > list_a) > $o). 28.23/28.41 thf(decl_68, type, paths_in_rts_a: (a > a > a) > $o). 28.23/28.41 thf(decl_69, type, paths_in_Arr_list_a: (list_a > list_a > list_a) > list_list_a > $o). 28.23/28.41 thf(decl_70, type, paths_in_Arr_a: (a > a > a) > list_a > $o). 28.23/28.41 thf(decl_71, type, paths_7232963753683178177list_a: list_list_a > list_list_a > $o). 28.23/28.41 thf(decl_72, type, paths_in_Arr_rel_a: list_a > list_a > $o). 28.23/28.41 thf(decl_73, type, paths_in_Ide_list_a: (list_a > list_a > list_a) > list_list_a > $o). 28.23/28.41 thf(decl_74, type, paths_in_Ide_a: (a > a > a) > list_a > $o). 28.23/28.41 thf(decl_75, type, paths_4942548060537684810list_a: list_list_a > list_list_a > $o). 28.23/28.41 thf(decl_76, type, paths_in_Ide_rel_a: list_a > list_a > $o). 28.23/28.41 thf(decl_77, type, paths_1777230443808135851list_a: (list_a > list_a > list_a) > list_a > list_list_a > list_a). 28.23/28.41 thf(decl_78, type, paths_in_Resid1x_a: (a > a > a) > a > list_a > a). 28.23/28.41 thf(decl_79, type, paths_8620460302779588466list_a: (list_a > list_a > list_a) > list_list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_80, type, paths_in_Resid_a: (a > a > a) > list_a > list_a > list_a). 28.23/28.41 thf(decl_81, type, paths_3541054012941122297list_a: (list_a > list_a > list_a) > list_list_a > list_a > list_list_a). 28.23/28.41 thf(decl_82, type, paths_in_Residx1_a: (a > a > a) > list_a > a > list_a). 28.23/28.41 thf(decl_83, type, paths_in_Srcs_list_a: (list_a > list_a > list_a) > list_list_a > set_list_a). 28.23/28.41 thf(decl_84, type, paths_in_Srcs_a: (a > a > a) > list_a > set_a). 28.23/28.41 thf(decl_85, type, paths_9095297928684271619list_a: list_list_a > list_list_a > $o). 28.23/28.41 thf(decl_86, type, paths_in_Srcs_rel_a: list_a > list_a > $o). 28.23/28.41 thf(decl_87, type, paths_in_Trgs_list_a: (list_a > list_a > list_a) > list_list_a > set_list_a). 28.23/28.41 thf(decl_88, type, paths_in_Trgs_a: (a > a > a) > list_a > set_a). 28.23/28.41 thf(decl_89, type, paths_2647081982048367038list_a: list_list_a > list_list_a > $o). 28.23/28.41 thf(decl_90, type, paths_in_Trgs_rel_a: list_a > list_a > $o). 28.23/28.41 thf(decl_91, type, residuation_list_a: (list_a > list_a > list_a) > $o). 28.23/28.41 thf(decl_92, type, residuation_a: (a > a > a) > $o). 28.23/28.41 thf(decl_93, type, arr_list_a: (list_a > list_a > list_a) > list_a > $o). 28.23/28.41 thf(decl_94, type, arr_a: (a > a > a) > a > $o). 28.23/28.41 thf(decl_95, type, con_list_a: (list_a > list_a > list_a) > list_a > list_a > $o). 28.23/28.41 thf(decl_96, type, con_a: (a > a > a) > a > a > $o). 28.23/28.41 thf(decl_97, type, ide_list_list_a: (list_list_a > list_list_a > list_list_a) > list_list_a > $o). 28.23/28.41 thf(decl_98, type, ide_list_a: (list_a > list_a > list_a) > list_a > $o). 28.23/28.41 thf(decl_99, type, ide_a: (a > a > a) > a > $o). 28.23/28.41 thf(decl_100, type, trg_list_a: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_101, type, trg_a: (a > a > a) > a > a). 28.23/28.41 thf(decl_102, type, coinitial_list_a: (list_a > list_a > list_a) > list_a > list_a > $o). 28.23/28.41 thf(decl_103, type, coinitial_a: (a > a > a) > a > a > $o). 28.23/28.41 thf(decl_104, type, composable_list_a: (list_a > list_a > list_a) > list_a > list_a > $o). 28.23/28.41 thf(decl_105, type, composable_a: (a > a > a) > a > a > $o). 28.23/28.41 thf(decl_106, type, composite_of_list_a: (list_a > list_a > list_a) > list_a > list_a > list_a > $o). 28.23/28.41 thf(decl_107, type, composite_of_a: (a > a > a) > a > a > a > $o). 28.23/28.41 thf(decl_108, type, coterminal_list_a: (list_a > list_a > list_a) > list_a > list_a > $o). 28.23/28.41 thf(decl_109, type, coterminal_a: (a > a > a) > a > a > $o). 28.23/28.41 thf(decl_110, type, join_of_list_a: (list_a > list_a > list_a) > list_a > list_a > list_a > $o). 28.23/28.41 thf(decl_111, type, join_of_a: (a > a > a) > a > a > a > $o). 28.23/28.41 thf(decl_112, type, joinable_list_a: (list_a > list_a > list_a) > list_a > list_a > $o). 28.23/28.41 thf(decl_113, type, joinable_a: (a > a > a) > a > a > $o). 28.23/28.41 thf(decl_114, type, seq_list_list_a: (list_list_a > list_list_a > list_list_a) > list_list_a > list_list_a > $o). 28.23/28.41 thf(decl_115, type, seq_list_a: (list_a > list_a > list_a) > list_a > list_a > $o). 28.23/28.41 thf(decl_116, type, seq_a: (a > a > a) > a > a > $o). 28.23/28.41 thf(decl_117, type, sources_list_a: (list_a > list_a > list_a) > list_a > set_list_a). 28.23/28.41 thf(decl_118, type, sources_a: (a > a > a) > a > set_a). 28.23/28.41 thf(decl_119, type, targets_list_a: (list_a > list_a > list_a) > list_a > set_list_a). 28.23/28.41 thf(decl_120, type, targets_a: (a > a > a) > a > set_a). 28.23/28.41 thf(decl_121, type, rts_axioms_list_a: (list_a > list_a > list_a) > $o). 28.23/28.41 thf(decl_122, type, rts_axioms_a: (a > a > a) > $o). 28.23/28.41 thf(decl_123, type, rts_wi1113109597627081724list_a: (list_a > list_a > list_a) > $o). 28.23/28.41 thf(decl_124, type, rts_wi3777564303360811894ites_a: (a > a > a) > $o). 28.23/28.41 thf(decl_125, type, simula8883364849184839078list_a: (list_a > list_a > list_a) > (list_a > list_a > list_a) > (list_a > list_a) > $o). 28.23/28.41 thf(decl_126, type, simula4720608313622360608st_a_a: (list_a > list_a > list_a) > (a > a > a) > (list_a > a) > $o). 28.23/28.41 thf(decl_127, type, simula6609844069451626796list_a: (a > a > a) > (list_a > list_a > list_a) > (a > list_a) > $o). 28.23/28.41 thf(decl_128, type, simula3868467710248865958ms_a_a: (a > a > a) > (a > a > a) > (a > a) > $o). 28.23/28.41 thf(decl_129, type, collect_list_a: (list_a > $o) > set_list_a). 28.23/28.41 thf(decl_130, type, collect_a: (a > $o) > set_a). 28.23/28.41 thf(decl_131, type, insert_list_a: list_a > set_list_a > set_list_a). 28.23/28.41 thf(decl_132, type, insert_a: a > set_a > set_a). 28.23/28.41 thf(decl_133, type, is_singleton_list_a: set_list_a > $o). 28.23/28.41 thf(decl_134, type, is_singleton_a: set_a > $o). 28.23/28.41 thf(decl_135, type, the_elem_list_a: set_list_a > list_a). 28.23/28.41 thf(decl_136, type, the_elem_a: set_a > a). 28.23/28.41 thf(decl_137, type, accp_list_list_a: (list_list_a > list_list_a > $o) > list_list_a > $o). 28.23/28.41 thf(decl_138, type, accp_list_a: (list_a > list_a > $o) > list_a > $o). 28.23/28.41 thf(decl_139, type, member_list_a: list_a > set_list_a > $o). 28.23/28.41 thf(decl_140, type, member_a: a > set_a > $o). 28.23/28.41 thf(decl_141, type, resid: a > a > a). 28.23/28.41 thf(decl_142, type, t: a). 28.23/28.41 thf(decl_143, type, u: a). 28.23/28.41 thf(decl_144, type, epred1_3: list_a > list_a > list_a > $o). 28.23/28.41 thf(decl_145, type, epred2_4: list_a > list_a > (a > a > a) > list_a > $o). 28.23/28.41 thf(decl_146, type, epred3_2: list_a > list_a > $o). 28.23/28.41 thf(decl_147, type, epred4_3: list_a > (a > a > a) > list_a > $o). 28.23/28.41 thf(decl_148, type, epred5_1: (list_a > list_a > list_a) > $o). 28.23/28.41 thf(decl_149, type, epred6_2: set_list_a > (list_a > list_a > list_a) > $o). 28.23/28.41 thf(decl_150, type, epred7_2: set_a > (a > a > a) > $o). 28.23/28.41 thf(decl_151, type, epred8_1: (a > a > a) > $o). 28.23/28.41 thf(decl_152, type, esk1_2: list_a > $o > a). 28.23/28.41 thf(decl_153, type, esk2_2: list_a > $o > a). 28.23/28.41 thf(decl_154, type, esk3_2: list_a > $o > a). 28.23/28.41 thf(decl_155, type, esk4_2: list_a > $o > list_a). 28.23/28.41 thf(decl_156, type, esk5_1: list_a > a). 28.23/28.41 thf(decl_157, type, esk6_1: list_a > a). 28.23/28.41 thf(decl_158, type, esk7_1: list_a > a). 28.23/28.41 thf(decl_159, type, esk8_1: list_a > list_a). 28.23/28.41 thf(decl_160, type, esk9_1: list_a > a). 28.23/28.41 thf(decl_161, type, esk10_1: list_a > a). 28.23/28.41 thf(decl_162, type, esk11_1: list_a > a). 28.23/28.41 thf(decl_163, type, esk12_1: list_a > list_a). 28.23/28.41 thf(decl_164, type, esk13_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_165, type, esk14_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_166, type, esk15_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_167, type, esk16_2: (a > a > a) > list_a > list_a). 28.23/28.41 thf(decl_168, type, esk17_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_169, type, esk18_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_170, type, esk19_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_171, type, esk20_2: (a > a > a) > list_a > list_a). 28.23/28.41 thf(decl_172, type, esk21_3: (a > a > a) > list_a > $o > a). 28.23/28.41 thf(decl_173, type, esk22_3: (a > a > a) > list_a > $o > a). 28.23/28.41 thf(decl_174, type, esk23_3: (a > a > a) > list_a > $o > a). 28.23/28.41 thf(decl_175, type, esk24_3: (a > a > a) > list_a > $o > list_a). 28.23/28.41 thf(decl_176, type, esk25_4: list_a > list_a > list_a > list_a > list_a). 28.23/28.41 thf(decl_177, type, esk26_4: list_a > list_a > list_a > list_a > list_a). 28.23/28.41 thf(decl_178, type, esk27_2: list_a > (list_a > $o) > a). 28.23/28.41 thf(decl_179, type, esk28_2: list_a > (list_a > $o) > a). 28.23/28.41 thf(decl_180, type, esk29_2: list_a > (list_a > $o) > list_a). 28.23/28.41 thf(decl_181, type, esk30_4: list_a > list_a > a > list_a > list_a). 28.23/28.41 thf(decl_182, type, esk31_4: a > list_a > list_a > list_a > list_a). 28.23/28.41 thf(decl_183, type, esk32_1: list_a > list_a). 28.23/28.41 thf(decl_184, type, esk33_1: list_a > a). 28.23/28.41 thf(decl_185, type, esk34_1: (list_a > $o) > a). 28.23/28.41 thf(decl_186, type, esk35_1: (list_a > $o) > list_a). 28.23/28.41 thf(decl_187, type, esk36_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_188, type, esk37_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_189, type, esk38_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_190, type, esk39_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_191, type, esk40_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_192, type, esk41_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_193, type, esk42_3: list_a > (a > $o) > list_a > a). 28.23/28.41 thf(decl_194, type, esk43_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_195, type, esk44_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_196, type, esk45_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_197, type, esk46_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_198, type, esk47_5: list_a > (a > $o) > list_a > a > list_a > a). 28.23/28.41 thf(decl_199, type, esk48_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_200, type, esk49_2: a > list_a > list_a). 28.23/28.41 thf(decl_201, type, esk50_2: a > list_a > list_a). 28.23/28.41 thf(decl_202, type, esk51_2: a > list_a > list_a). 28.23/28.41 thf(decl_203, type, esk52_2: a > list_a > list_a). 28.23/28.41 thf(decl_204, type, esk53_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_205, type, esk54_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_206, type, esk55_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_207, type, esk56_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_208, type, esk57_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_209, type, esk58_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_210, type, esk59_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_211, type, esk60_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_212, type, esk61_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_213, type, esk62_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_214, type, esk63_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_215, type, esk64_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_216, type, esk65_2: a > list_a > list_a). 28.23/28.41 thf(decl_217, type, esk66_2: a > list_a > list_a). 28.23/28.41 thf(decl_218, type, esk67_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_219, type, esk68_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_220, type, esk69_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_221, type, esk70_2: a > list_a > list_a). 28.23/28.41 thf(decl_222, type, esk71_2: a > list_a > list_a). 28.23/28.41 thf(decl_223, type, esk72_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_224, type, esk73_2: list_a > (a > $o) > a). 28.23/28.41 thf(decl_225, type, esk74_2: list_a > (a > $o) > list_a). 28.23/28.41 thf(decl_226, type, esk75_2: a > list_a > list_a). 28.23/28.41 thf(decl_227, type, esk76_2: a > list_a > list_a). 28.23/28.41 thf(decl_228, type, esk77_2: a > list_a > list_a). 28.23/28.41 thf(decl_229, type, esk78_2: a > list_a > list_a). 28.23/28.41 thf(decl_230, type, esk79_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_231, type, esk80_2: list_a > list_a > a). 28.23/28.41 thf(decl_232, type, esk81_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_233, type, esk82_2: list_a > list_a > a). 28.23/28.41 thf(decl_234, type, esk83_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_235, type, esk84_0: list_a). 28.23/28.41 thf(decl_236, type, esk85_1: list_a > list_a). 28.23/28.41 thf(decl_237, type, esk86_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_238, type, esk87_1: list_a > a). 28.23/28.41 thf(decl_239, type, esk88_1: list_a > a). 28.23/28.41 thf(decl_240, type, esk89_1: list_a > a). 28.23/28.41 thf(decl_241, type, esk90_1: list_a > list_a). 28.23/28.41 thf(decl_242, type, esk91_1: list_a > a). 28.23/28.41 thf(decl_243, type, esk92_1: list_a > a). 28.23/28.41 thf(decl_244, type, esk93_1: list_a > a). 28.23/28.41 thf(decl_245, type, esk94_1: list_a > list_a). 28.23/28.41 thf(decl_246, type, esk95_2: list_a > (list_a > $o) > a). 28.23/28.41 thf(decl_247, type, esk96_2: list_a > (list_a > $o) > a). 28.23/28.41 thf(decl_248, type, esk97_2: list_a > (list_a > $o) > list_a). 28.23/28.41 thf(decl_249, type, esk98_1: (list_a > list_a > $o) > a). 28.23/28.41 thf(decl_250, type, esk99_1: (list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_251, type, esk100_1: (list_a > list_a > $o) > a). 28.23/28.41 thf(decl_252, type, esk101_1: (list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_253, type, esk102_1: (list_a > list_a > $o) > a). 28.23/28.41 thf(decl_254, type, esk103_1: (list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_255, type, esk104_1: (list_a > list_a > $o) > a). 28.23/28.41 thf(decl_256, type, esk105_1: (list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_257, type, esk106_1: list_a > a). 28.23/28.41 thf(decl_258, type, esk107_1: list_a > list_a). 28.23/28.41 thf(decl_259, type, esk108_1: list_a > a). 28.23/28.41 thf(decl_260, type, esk109_1: list_a > a). 28.23/28.41 thf(decl_261, type, esk110_1: list_a > a). 28.23/28.41 thf(decl_262, type, esk111_1: list_a > list_a). 28.23/28.41 thf(decl_263, type, esk112_1: list_list_a > list_list_a). 28.23/28.41 thf(decl_264, type, esk113_1: list_list_a > a). 28.23/28.41 thf(decl_265, type, esk114_1: list_list_a > list_a). 28.23/28.41 thf(decl_266, type, esk115_1: list_list_a > list_list_a). 28.23/28.41 thf(decl_267, type, esk116_1: list_a > a). 28.23/28.41 thf(decl_268, type, esk117_1: list_a > list_a). 28.23/28.41 thf(decl_269, type, esk118_2: list_a > set_a > a). 28.23/28.41 thf(decl_270, type, esk119_2: list_a > set_a > a). 28.23/28.41 thf(decl_271, type, esk120_2: list_a > set_a > a). 28.23/28.41 thf(decl_272, type, esk121_2: list_a > set_a > list_a). 28.23/28.41 thf(decl_273, type, esk122_2: list_a > $o > a). 28.23/28.41 thf(decl_274, type, esk123_2: list_a > $o > a). 28.23/28.41 thf(decl_275, type, esk124_2: list_a > $o > a). 28.23/28.41 thf(decl_276, type, esk125_2: list_a > $o > list_a). 28.23/28.41 thf(decl_277, type, esk126_1: list_a > a). 28.23/28.41 thf(decl_278, type, esk127_1: list_a > a). 28.23/28.41 thf(decl_279, type, esk128_1: list_a > a). 28.23/28.41 thf(decl_280, type, esk129_1: list_a > list_a). 28.23/28.41 thf(decl_281, type, esk130_1: list_a > a). 28.23/28.41 thf(decl_282, type, esk131_1: list_a > a). 28.23/28.41 thf(decl_283, type, esk132_1: list_a > a). 28.23/28.41 thf(decl_284, type, esk133_1: list_a > list_a). 28.23/28.41 thf(decl_285, type, esk134_3: (a > a > a) > list_a > $o > a). 28.23/28.41 thf(decl_286, type, esk135_3: (a > a > a) > list_a > $o > a). 28.23/28.41 thf(decl_287, type, esk136_3: (a > a > a) > list_a > $o > a). 28.23/28.41 thf(decl_288, type, esk137_3: (a > a > a) > list_a > $o > list_a). 28.23/28.41 thf(decl_289, type, esk138_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_290, type, esk139_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_291, type, esk140_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_292, type, esk141_2: (a > a > a) > list_a > list_a). 28.23/28.41 thf(decl_293, type, esk142_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_294, type, esk143_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_295, type, esk144_2: (a > a > a) > list_a > a). 28.23/28.41 thf(decl_296, type, esk145_2: (a > a > a) > list_a > list_a). 28.23/28.41 thf(decl_297, type, esk146_3: (a > a > a) > list_a > set_a > a). 28.23/28.41 thf(decl_298, type, esk147_3: (a > a > a) > list_a > set_a > a). 28.23/28.41 thf(decl_299, type, esk148_3: (a > a > a) > list_a > set_a > a). 28.23/28.41 thf(decl_300, type, esk149_3: (a > a > a) > list_a > set_a > list_a). 28.23/28.41 thf(decl_301, type, esk150_2: a > list_a > list_a). 28.23/28.41 thf(decl_302, type, esk151_2: a > list_a > a). 28.23/28.41 thf(decl_303, type, esk152_2: a > list_a > list_a). 28.23/28.41 thf(decl_304, type, esk153_3: (a > a > a) > list_a > set_a > a). 28.23/28.41 thf(decl_305, type, esk154_3: (a > a > a) > list_a > set_a > a). 28.23/28.41 thf(decl_306, type, esk155_3: (a > a > a) > list_a > set_a > a). 28.23/28.41 thf(decl_307, type, esk156_3: (a > a > a) > list_a > set_a > list_a). 28.23/28.41 thf(decl_308, type, esk157_2: list_a > set_a > a). 28.23/28.41 thf(decl_309, type, esk158_2: list_a > set_a > a). 28.23/28.41 thf(decl_310, type, esk159_2: list_a > set_a > a). 28.23/28.41 thf(decl_311, type, esk160_2: list_a > set_a > list_a). 28.23/28.41 thf(decl_312, type, esk161_0: a). 28.23/28.41 thf(decl_313, type, esk162_1: a > a). 28.23/28.41 thf(decl_314, type, esk163_2: a > a > a). 28.23/28.41 thf(decl_315, type, esk164_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_316, type, esk165_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_317, type, esk166_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_318, type, esk167_1: list_a > a). 28.23/28.41 thf(decl_319, type, esk168_1: list_a > a). 28.23/28.41 thf(decl_320, type, esk169_2: set_a > set_a > a). 28.23/28.41 thf(decl_321, type, esk170_2: (a > $o) > (a > $o) > a). 28.23/28.41 thf(decl_322, type, esk171_2: (a > $o) > (a > $o) > a). 28.23/28.41 thf(decl_323, type, esk172_2: set_a > set_a > a). 28.23/28.41 thf(decl_324, type, esk173_2: set_a > set_a > a). 28.23/28.41 thf(decl_325, type, esk174_4: set_a > set_a > (a > $o) > (a > $o) > a). 28.23/28.41 thf(decl_326, type, esk175_2: list_a > set_a > a). 28.23/28.41 thf(decl_327, type, esk176_1: (set_a > set_a > set_a) > set_a). 28.23/28.41 thf(decl_328, type, esk177_1: (set_a > set_a > set_a) > set_a). 28.23/28.41 thf(decl_329, type, esk178_1: (set_a > set_a > set_a) > set_a). 28.23/28.41 thf(decl_330, type, esk179_1: (set_a > set_a > set_a) > set_a). 28.23/28.41 thf(decl_331, type, esk180_1: (set_a > set_a > set_a) > set_a). 28.23/28.41 thf(decl_332, type, esk181_1: (set_a > set_a > set_a) > set_a). 28.23/28.41 thf(decl_333, type, esk182_1: (set_a > set_a > set_a) > set_a). 28.23/28.41 thf(decl_334, type, esk183_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 28.23/28.41 thf(decl_335, type, esk184_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 28.23/28.41 thf(decl_336, type, esk185_4: set_a > set_a > (set_a > nat) > nat > set_a). 28.23/28.41 thf(decl_337, type, esk186_4: set_a > set_a > (set_a > nat) > nat > set_a). 28.23/28.41 thf(decl_338, type, esk187_4: nat > nat > (nat > set_a) > set_a > nat). 28.23/28.41 thf(decl_339, type, esk188_4: nat > nat > (nat > set_a) > set_a > nat). 28.23/28.41 thf(decl_340, type, esk189_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 28.23/28.41 thf(decl_341, type, esk190_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 28.23/28.41 thf(decl_342, type, esk191_4: nat > (set_a > nat) > set_a > set_a > set_a). 28.23/28.41 thf(decl_343, type, esk192_4: nat > (set_a > nat) > set_a > set_a > set_a). 28.23/28.41 thf(decl_344, type, esk193_4: set_a > (nat > set_a) > nat > nat > nat). 28.23/28.41 thf(decl_345, type, esk194_4: set_a > (nat > set_a) > nat > nat > nat). 28.23/28.41 thf(decl_346, type, esk195_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 28.23/28.41 thf(decl_347, type, esk196_4: set_a > set_a > (set_a > set_a) > set_a > set_a). 28.23/28.41 thf(decl_348, type, esk197_4: set_a > set_a > (set_a > nat) > nat > set_a). 28.23/28.41 thf(decl_349, type, esk198_4: set_a > set_a > (set_a > nat) > nat > set_a). 28.23/28.41 thf(decl_350, type, esk199_4: nat > nat > (nat > set_a) > set_a > nat). 28.23/28.41 thf(decl_351, type, esk200_4: nat > nat > (nat > set_a) > set_a > nat). 28.23/28.41 thf(decl_352, type, esk201_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 28.23/28.41 thf(decl_353, type, esk202_4: set_a > (set_a > set_a) > set_a > set_a > set_a). 28.23/28.41 thf(decl_354, type, esk203_4: set_a > (nat > set_a) > nat > nat > nat). 28.23/28.41 thf(decl_355, type, esk204_4: set_a > (nat > set_a) > nat > nat > nat). 28.23/28.41 thf(decl_356, type, esk205_4: nat > (set_a > nat) > set_a > set_a > set_a). 28.23/28.41 thf(decl_357, type, esk206_4: nat > (set_a > nat) > set_a > set_a > set_a). 28.23/28.41 thf(decl_358, type, esk207_2: (a > $o) > (a > $o) > a). 28.23/28.41 thf(decl_359, type, esk208_1: (a > $o) > a). 28.23/28.41 thf(decl_360, type, esk209_1: (a > $o) > a). 28.23/28.41 thf(decl_361, type, esk210_1: set_a > a). 28.23/28.41 thf(decl_362, type, esk211_1: set_a > a). 28.23/28.41 thf(decl_363, type, esk212_1: set_a > a). 28.23/28.41 thf(decl_364, type, esk213_1: set_a > a). 28.23/28.41 thf(decl_365, type, esk214_1: set_a > a). 28.23/28.41 thf(decl_366, type, esk215_2: set_a > set_a > a). 28.23/28.41 thf(decl_367, type, esk216_2: set_a > set_a > a). 28.23/28.41 thf(decl_368, type, esk217_2: set_a > set_a > a). 28.23/28.41 thf(decl_369, type, esk218_2: set_a > set_a > a). 28.23/28.41 thf(decl_370, type, esk219_3: (list_a > list_a > list_a) > list_list_a > $o > list_a). 28.23/28.41 thf(decl_371, type, esk220_3: (list_a > list_a > list_a) > list_list_a > $o > list_a). 28.23/28.41 thf(decl_372, type, esk221_3: (list_a > list_a > list_a) > list_list_a > $o > list_a). 28.23/28.41 thf(decl_373, type, esk222_3: (list_a > list_a > list_a) > list_list_a > $o > list_list_a). 28.23/28.41 thf(decl_374, type, esk223_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_375, type, esk224_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_376, type, esk225_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_377, type, esk226_2: (list_a > list_a > list_a) > list_list_a > list_list_a). 28.23/28.41 thf(decl_378, type, esk227_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_379, type, esk228_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_380, type, esk229_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_381, type, esk230_2: (list_a > list_a > list_a) > list_list_a > list_list_a). 28.23/28.41 thf(decl_382, type, esk231_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_383, type, esk232_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_384, type, esk233_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_385, type, esk234_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_list_a). 28.23/28.41 thf(decl_386, type, esk235_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_387, type, esk236_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_388, type, esk237_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_389, type, esk238_2: (list_a > list_a > list_a) > list_list_a > list_list_a). 28.23/28.41 thf(decl_390, type, esk239_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_391, type, esk240_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_392, type, esk241_2: (list_a > list_a > list_a) > list_list_a > list_a). 28.23/28.41 thf(decl_393, type, esk242_2: (list_a > list_a > list_a) > list_list_a > list_list_a). 28.23/28.41 thf(decl_394, type, esk243_3: (list_a > list_a > list_a) > list_list_a > $o > list_a). 28.23/28.41 thf(decl_395, type, esk244_3: (list_a > list_a > list_a) > list_list_a > $o > list_a). 28.23/28.41 thf(decl_396, type, esk245_3: (list_a > list_a > list_a) > list_list_a > $o > list_a). 28.23/28.41 thf(decl_397, type, esk246_3: (list_a > list_a > list_a) > list_list_a > $o > list_list_a). 28.23/28.41 thf(decl_398, type, esk247_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_399, type, esk248_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_400, type, esk249_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_401, type, esk250_3: (list_a > list_a > list_a) > list_list_a > set_list_a > list_list_a). 28.23/28.41 thf(decl_402, type, esk251_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_403, type, esk252_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_404, type, esk253_4: list_a > list_a > list_a > (list_a > list_a > list_a > $o) > a). 28.23/28.41 thf(decl_405, type, esk254_4: list_a > list_a > list_a > (list_a > list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_406, type, esk255_4: list_a > list_a > list_a > (list_a > list_a > list_a > $o) > a). 28.23/28.41 thf(decl_407, type, esk256_4: list_a > list_a > list_a > (list_a > list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_408, type, esk257_4: list_a > list_a > list_a > (list_a > list_a > list_a > $o) > a). 28.23/28.41 thf(decl_409, type, esk258_4: list_a > list_a > list_a > (list_a > list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_410, type, esk259_3: list_a > list_a > (list_a > list_a > $o) > a). 28.23/28.41 thf(decl_411, type, esk260_3: list_a > list_a > (list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_412, type, esk261_3: list_a > list_a > (list_a > list_a > $o) > a). 28.23/28.41 thf(decl_413, type, esk262_3: list_a > list_a > (list_a > list_a > $o) > list_a). 28.23/28.41 thf(decl_414, type, esk263_1: nat > list_a). 28.23/28.41 thf(decl_415, type, esk264_1: (nat > nat > nat) > nat). 28.23/28.41 thf(decl_416, type, esk265_1: (nat > nat > nat) > nat). 28.23/28.41 thf(decl_417, type, esk266_1: (nat > nat > nat) > nat). 28.23/28.41 thf(decl_418, type, esk267_1: (nat > nat > nat) > nat). 28.23/28.41 thf(decl_419, type, esk268_1: (nat > nat > nat) > nat). 28.23/28.41 thf(decl_420, type, esk269_1: (nat > nat > nat) > nat). 28.23/28.41 thf(decl_421, type, esk270_1: (nat > nat > nat) > nat). 28.23/28.41 thf(decl_422, type, esk271_4: nat > nat > (nat > nat) > nat > nat). 28.23/28.41 thf(decl_423, type, esk272_4: nat > nat > (nat > nat) > nat > nat). 28.23/28.41 thf(decl_424, type, esk273_4: nat > (nat > nat) > nat > nat > nat). 28.23/28.41 thf(decl_425, type, esk274_4: nat > (nat > nat) > nat > nat > nat). 28.23/28.41 thf(decl_426, type, esk275_4: nat > nat > (nat > nat) > nat > nat). 28.23/28.41 thf(decl_427, type, esk276_4: nat > nat > (nat > nat) > nat > nat). 28.23/28.41 thf(decl_428, type, esk277_4: nat > (nat > nat) > nat > nat > nat). 28.23/28.41 thf(decl_429, type, esk278_4: nat > (nat > nat) > nat > nat > nat). 28.23/28.41 thf(decl_430, type, esk279_1: (nat > nat > $o) > nat). 28.23/28.41 thf(decl_431, type, esk280_1: (nat > nat > $o) > nat). 28.23/28.41 thf(decl_432, type, esk281_1: (nat > nat > $o) > nat). 28.23/28.41 thf(decl_433, type, esk282_1: (nat > nat > $o) > nat). 28.23/28.41 thf(decl_434, type, esk283_2: (nat > $o) > nat > nat). 28.23/28.41 thf(decl_435, type, esk284_1: (nat > $o) > nat). 28.23/28.41 thf(decl_436, type, esk285_2: nat > nat > nat). 28.23/28.41 thf(decl_437, type, esk286_2: nat > nat > nat). 28.23/28.41 thf(decl_438, type, esk287_2: nat > nat > nat). 28.23/28.41 thf(decl_439, type, esk288_2: nat > nat > nat). 28.23/28.41 thf(decl_440, type, esk289_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_441, type, esk290_2: list_a > list_list_a > list_a). 28.23/28.41 thf(decl_442, type, esk291_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_443, type, esk292_4: (list_a > list_a > list_a) > list_a > list_list_a > list_a > list_a). 28.23/28.41 thf(decl_444, type, esk293_4: (list_a > list_a > list_a) > list_a > list_list_a > list_a > list_a). 28.23/28.41 thf(decl_445, type, esk294_4: (list_a > list_a > list_a) > list_a > list_list_a > list_a > list_a). 28.23/28.41 thf(decl_446, type, esk295_4: (list_a > list_a > list_a) > list_a > list_list_a > list_a > list_list_a). 28.23/28.41 thf(decl_447, type, esk296_2: set_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_448, type, esk297_2: (list_a > $o) > (list_a > $o) > list_a). 28.23/28.41 thf(decl_449, type, esk298_2: (list_a > $o) > (list_a > $o) > list_a). 28.23/28.41 thf(decl_450, type, esk299_2: set_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_451, type, esk300_2: set_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_452, type, esk301_4: set_list_a > set_list_a > (list_a > $o) > (list_a > $o) > list_a). 28.23/28.41 thf(decl_453, type, esk302_2: list_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_454, type, esk303_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 28.23/28.41 thf(decl_455, type, esk304_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 28.23/28.41 thf(decl_456, type, esk305_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 28.23/28.41 thf(decl_457, type, esk306_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 28.23/28.41 thf(decl_458, type, esk307_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 28.23/28.41 thf(decl_459, type, esk308_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 28.23/28.41 thf(decl_460, type, esk309_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 28.23/28.41 thf(decl_461, type, esk310_2: (list_a > $o) > (list_a > $o) > list_a). 28.23/28.41 thf(decl_462, type, esk311_1: (list_a > $o) > list_a). 28.23/28.41 thf(decl_463, type, esk312_1: (list_a > $o) > list_a). 28.23/28.41 thf(decl_464, type, esk313_1: set_list_a > list_a). 28.23/28.41 thf(decl_465, type, esk314_1: set_list_a > list_a). 28.23/28.41 thf(decl_466, type, esk315_1: set_list_a > list_a). 28.23/28.41 thf(decl_467, type, esk316_2: set_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_468, type, esk317_2: set_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_469, type, esk318_2: set_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_470, type, esk319_2: set_list_a > set_list_a > list_a). 28.23/28.41 thf(decl_471, type, esk320_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_472, type, esk321_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_473, type, esk322_1: list_a > list_a). 28.23/28.41 thf(decl_474, type, esk323_1: list_a > list_a). 28.23/28.41 thf(decl_475, type, esk324_3: a > list_a > a > a). 28.23/28.41 thf(decl_476, type, esk325_3: a > list_a > a > a). 28.23/28.41 thf(decl_477, type, esk326_3: a > list_a > a > a). 28.23/28.41 thf(decl_478, type, esk327_3: a > list_a > a > list_a). 28.23/28.41 thf(decl_479, type, esk328_4: (a > a > a) > a > list_a > a > a). 28.23/28.41 thf(decl_480, type, esk329_4: (a > a > a) > a > list_a > a > a). 28.23/28.41 thf(decl_481, type, esk330_4: (a > a > a) > a > list_a > a > a). 28.23/28.41 thf(decl_482, type, esk331_4: (a > a > a) > a > list_a > a > list_a). 28.23/28.41 thf(decl_483, type, esk332_1: a > a). 28.23/28.41 thf(decl_484, type, esk333_1: a > a). 28.23/28.41 thf(decl_485, type, esk334_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_486, type, esk335_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_487, type, esk336_2: a > a > a). 28.23/28.41 thf(decl_488, type, esk337_2: a > a > a). 28.23/28.41 thf(decl_489, type, esk338_1: set_a > a). 28.23/28.41 thf(decl_490, type, esk339_1: set_a > a). 28.23/28.41 thf(decl_491, type, esk340_2: list_a > list_a > list_a). 28.23/28.41 thf(decl_492, type, esk341_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_493, type, esk342_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_494, type, esk343_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_495, type, esk344_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_496, type, esk345_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_497, type, esk346_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_498, type, esk347_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_499, type, esk348_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_500, type, esk349_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_501, type, esk350_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_502, type, esk351_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_503, type, esk352_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_504, type, esk353_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_505, type, esk354_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_506, type, esk355_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_507, type, esk356_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_508, type, esk357_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_509, type, esk358_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_510, type, esk359_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_511, type, esk360_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_512, type, esk361_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_513, type, esk362_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_514, type, esk363_2: set_list_a > (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_515, type, esk364_4: (list_a > list_a > list_a) > set_list_a > list_a > list_a > list_a). 28.23/28.41 thf(decl_516, type, esk365_4: (list_a > list_a > list_a) > set_list_a > list_a > list_a > list_a). 28.23/28.41 thf(decl_517, type, esk366_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_518, type, esk367_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_519, type, esk368_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_520, type, esk369_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_521, type, esk370_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_522, type, esk371_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_523, type, esk372_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_524, type, esk373_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_525, type, esk374_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_526, type, esk375_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_527, type, esk376_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_528, type, esk377_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_529, type, esk378_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_530, type, esk379_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_531, type, esk380_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_532, type, esk381_2: list_a > list_list_a > list_list_a). 28.23/28.41 thf(decl_533, type, esk382_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_534, type, esk383_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_535, type, esk384_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_536, type, esk385_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_537, type, esk386_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_538, type, esk387_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_539, type, esk388_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_540, type, esk389_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_541, type, esk390_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_542, type, esk391_2: set_a > (a > a > a) > a). 28.23/28.41 thf(decl_543, type, esk392_4: (a > a > a) > set_a > a > a > a). 28.23/28.41 thf(decl_544, type, esk393_4: (a > a > a) > set_a > a > a > a). 28.23/28.41 thf(decl_545, type, esk394_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_546, type, esk395_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_547, type, esk396_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_548, type, esk397_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_549, type, esk398_3: (a > a > a) > a > a > a). 28.23/28.41 thf(decl_550, type, esk399_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_551, type, esk400_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_552, type, esk401_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_553, type, esk402_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_554, type, esk403_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_555, type, esk404_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_556, type, esk405_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_557, type, esk406_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_558, type, esk407_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_559, type, esk408_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_560, type, esk409_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_561, type, esk410_2: (list_a > list_a > list_a) > list_a > list_a). 28.23/28.41 thf(decl_562, type, esk411_1: set_list_a > list_a). 28.23/28.41 thf(decl_563, type, esk412_1: set_list_a > list_a). 28.23/28.41 thf(decl_564, type, esk413_1: (a > a > a) > a). 28.23/28.41 thf(decl_565, type, esk414_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_566, type, esk415_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_567, type, esk416_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_568, type, esk417_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_569, type, esk418_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_570, type, esk419_1: (a > a > a) > a). 28.23/28.41 thf(decl_571, type, esk420_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_572, type, esk421_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_573, type, esk422_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_574, type, esk423_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_575, type, esk424_2: (a > a > a) > a > a). 28.23/28.41 thf(decl_576, type, esk425_1: (a > a > a) > a). 28.23/28.41 thf(decl_577, type, esk426_1: (a > a > a) > a). 28.23/28.41 thf(decl_578, type, esk427_1: (a > a > a) > a). 28.23/28.41 thf(decl_579, type, esk428_1: (a > a > a) > a). 28.23/28.41 thf(decl_580, type, esk429_1: (a > a > a) > a). 28.23/28.41 thf(decl_581, type, esk430_1: (a > a > a) > a). 28.23/28.41 thf(decl_582, type, esk431_1: (a > a > a) > a). 28.23/28.41 thf(decl_583, type, esk432_1: (a > a > a) > a). 28.23/28.41 thf(decl_584, type, esk433_1: (a > a > a) > a). 28.23/28.41 thf(decl_585, type, esk434_1: (a > a > a) > a). 28.23/28.41 thf(decl_586, type, esk435_1: (a > a > a) > a). 28.23/28.41 thf(decl_587, type, esk436_1: (a > a > a) > a). 28.23/28.41 thf(decl_588, type, esk437_1: (a > a > a) > a). 28.23/28.41 thf(decl_589, type, esk438_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_590, type, esk439_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_591, type, esk440_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_592, type, esk441_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_593, type, esk442_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_594, type, esk443_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_595, type, esk444_3: (list_a > list_a > list_a) > list_a > list_a > list_a). 28.23/28.41 thf(decl_596, type, esk445_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_597, type, esk446_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_598, type, esk447_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_599, type, esk448_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_600, type, esk449_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_601, type, esk450_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_602, type, esk451_1: set_list_a > list_a). 28.23/28.41 thf(decl_603, type, esk452_1: set_list_a > list_a). 28.23/28.41 thf(decl_604, type, esk453_3: (list_a > list_a > list_a) > list_a > list_a > list_a). 28.23/28.41 thf(decl_605, type, esk454_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_606, type, esk455_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_607, type, esk456_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_608, type, esk457_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_609, type, esk458_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_610, type, esk459_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_611, type, esk460_1: (list_a > list_a > list_a) > list_a). 28.23/28.41 thf(decl_612, type, esk461_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_613, type, esk462_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_614, type, esk463_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_615, type, esk464_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_616, type, esk465_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_617, type, esk466_2: (list_a > list_a > list_a) > set_list_a > list_a). 28.23/28.41 thf(decl_618, type, esk467_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_619, type, esk468_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_620, type, esk469_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_621, type, esk470_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_622, type, esk471_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_623, type, esk472_2: (a > a > a) > set_a > a). 28.23/28.41 thf(decl_624, type, esk473_3: (a > a > a) > a > a > a). 28.23/28.41 thf(decl_625, type, esk474_1: (a > a > a) > a). 28.23/28.41 thf(decl_626, type, esk475_1: (a > a > a) > a). 28.23/28.41 thf(decl_627, type, esk476_1: (a > a > a) > a). 28.23/28.41 thf(decl_628, type, esk477_1: (a > a > a) > a). 28.23/28.41 thf(decl_629, type, esk478_1: (a > a > a) > a). 28.23/28.41 thf(decl_630, type, esk479_1: (a > a > a) > a). 28.23/28.41 thf(decl_631, type, esk480_1: (a > a > a) > a). 28.23/28.41 thf(decl_632, type, epred9_1: set_a > a > $o). 28.23/28.41 thf(decl_633, type, epred10_1: set_list_a > list_a > $o). 28.23/28.41 thf(decl_634, type, esk481_1: set_a > a). 28.23/28.41 thf(decl_635, type, esk482_1: set_a > a). 28.23/28.41 thf(decl_636, type, esk483_1: set_list_a > list_a). 28.23/28.41 thf(decl_637, type, esk484_1: set_list_a > list_a). 28.23/28.41 thf(fact_125_append__Cons, axiom, ![X102:a, X25:list_a, X27:list_a]:(((append_a @ (cons_a @ X102 @ X25) @ X27)=(cons_a @ X102 @ (append_a @ X25 @ X27)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_125_append__Cons)). 28.23/28.41 thf(fact_127_append_Oleft__neutral, axiom, ![X29:list_a]:(((append_a @ nil_a @ X29)=(X29))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_127_append_Oleft__neutral)). 28.23/28.41 thf(fact_62_ide__char, axiom, ![X18:list_a]:(((ide_list_a @ (paths_in_Resid_a @ resid) @ X18)<=>(paths_in_Ide_a @ resid @ X18))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_62_ide__char)). 28.23/28.41 thf(fact_49__C1_C, axiom, (ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (append_a @ (cons_a @ t @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_49__C1_C)). 28.23/28.41 thf(fact_525_Ide__implies__Arr, axiom, ![X18:list_a]:(((paths_in_Ide_a @ resid @ X18)=>(paths_in_Arr_a @ resid @ X18))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_525_Ide__implies__Arr)). 28.23/28.41 thf(fact_511_arr__char, axiom, ![X18:list_a]:(((arr_list_a @ (paths_in_Resid_a @ resid) @ X18)<=>(paths_in_Arr_a @ resid @ X18))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_511_arr__char)). 28.23/28.41 thf(fact_456_residuation_Oarr__resid__iff__con, axiom, ![X388:list_a > list_a > list_a, X389:list_a, X390:list_a]:(((residuation_list_a @ X388)=>((arr_list_a @ X388 @ (X388 @ X389 @ X390))<=>(con_list_a @ X388 @ X389 @ X390)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_456_residuation_Oarr__resid__iff__con)). 28.23/28.41 thf(fact_444_residuation_Ocon__implies__arr_I2_J, axiom, ![X373:list_a > list_a > list_a, X374:list_a, X375:list_a]:(((residuation_list_a @ X373)=>((con_list_a @ X373 @ X374 @ X375)=>(arr_list_a @ X373 @ X375)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_444_residuation_Ocon__implies__arr_I2_J)). 28.23/28.41 thf(fact_141_residuation__axioms, axiom, (residuation_list_a @ (paths_in_Resid_a @ resid)), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_141_residuation__axioms)). 28.23/28.41 thf(fact_36_assms, axiom, (ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_36_assms)). 28.23/28.41 thf(fact_587_paths__in__rts_Oarr__char, axiom, ![X80:a > a > a, X18:list_a]:(((paths_in_rts_a @ X80)=>((arr_list_a @ (paths_in_Resid_a @ X80) @ X18)<=>(paths_in_Arr_a @ X80 @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_587_paths__in__rts_Oarr__char)). 28.23/28.41 thf(fact_555_Arr__imp__Arr__tl, axiom, ![X18:list_a]:(((paths_in_Arr_a @ resid @ X18)=>(((tl_a @ X18)!=(nil_a))=>(paths_in_Arr_a @ resid @ (tl_a @ X18))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_555_Arr__imp__Arr__tl)). 28.23/28.41 thf(fact_35_paths__in__rts__axioms, axiom, (paths_in_rts_a @ resid), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_35_paths__in__rts__axioms)). 28.23/28.41 thf(fact_357_list_Osel_I3_J, axiom, ![X52:a, X53:list_a]:(((tl_a @ (cons_a @ X52 @ X53))=(X53))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_357_list_Osel_I3_J)). 28.23/28.41 thf(fact_123_list_Odistinct_I1_J, axiom, ![X52:a, X53:list_a]:(((nil_a)!=(cons_a @ X52 @ X53))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_123_list_Odistinct_I1_J)). 28.23/28.41 thf(fact_289_last__ConsL, axiom, ![X25:list_a, X235:a]:((((X25)=(nil_a))=>((last_a @ (cons_a @ X235 @ X25))=(X235)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_289_last__ConsL)). 28.23/28.41 thf(fact_620_paths__in__rts_OArr__imp__arr__last, axiom, ![X80:a > a > a, X18:list_a]:(((paths_in_rts_a @ X80)=>((paths_in_Arr_a @ X80 @ X18)=>(arr_a @ X80 @ (last_a @ X18))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_620_paths__in__rts_OArr__imp__arr__last)). 28.23/28.41 thf(fact_455_residuation_Oarr__resid__iff__con, axiom, ![X80:a > a > a, X2:a, X3:a]:(((residuation_a @ X80)=>((arr_a @ X80 @ (X80 @ X2 @ X3))<=>(con_a @ X80 @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_455_residuation_Oarr__resid__iff__con)). 28.23/28.41 thf(fact_144_Resid_Osimps_I3_J, axiom, ![X2:a, X3:a]:((((con_a @ resid @ X2 @ X3)=>((paths_in_Resid_a @ resid @ (cons_a @ X2 @ nil_a) @ (cons_a @ X3 @ nil_a))=(cons_a @ (resid @ X2 @ X3) @ nil_a)))&(~((con_a @ resid @ X2 @ X3))=>((paths_in_Resid_a @ resid @ (cons_a @ X2 @ nil_a) @ (cons_a @ X3 @ nil_a))=(nil_a))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_144_Resid_Osimps_I3_J)). 28.23/28.41 thf(fact_184_residuation_Ocon__sym, axiom, ![X80:a > a > a, X2:a, X3:a]:(((residuation_a @ X80)=>((con_a @ X80 @ X2 @ X3)=>(con_a @ X80 @ X3 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_184_residuation_Ocon__sym)). 28.23/28.41 thf(fact_230_R_Oresiduation__axioms, axiom, (residuation_a @ resid), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_230_R_Oresiduation__axioms)). 28.23/28.41 thf(fact_447_residuation_OarrE, axiom, ![X80:a > a > a, X2:a]:(((residuation_a @ X80)=>((arr_a @ X80 @ X2)=>(con_a @ X80 @ X2 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_447_residuation_OarrE)). 28.23/28.41 thf(fact_545_Resid__Arr__self, axiom, ![X18:list_a]:(((paths_in_Arr_a @ resid @ X18)=>(paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ X18 @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_545_Resid__Arr__self)). 28.23/28.41 thf(fact_400_R_Oarr__def, axiom, ![X2:a]:(((arr_a @ resid @ X2)<=>(con_a @ resid @ X2 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_400_R_Oarr__def)). 28.23/28.41 thf(fact_3_cube, axiom, ![X11:list_a, X12:list_a, X13:list_a]:(((paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ X11 @ X12) @ (paths_in_Resid_a @ resid @ X13 @ X12))=(paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ X11 @ X13) @ (paths_in_Resid_a @ resid @ X12 @ X13)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_3_cube)). 28.23/28.41 thf(fact_26_calculation, axiom, ((paths_in_Resid_a @ resid @ (append_a @ (cons_a @ t @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)) @ (cons_a @ u @ nil_a))=(append_a @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)) @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_26_calculation)). 28.23/28.41 thf(fact_228_Ide__imp__Ide__last, axiom, ![X18:list_a]:(((paths_in_Ide_a @ resid @ X18)=>(ide_a @ resid @ (last_a @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_228_Ide__imp__Ide__last)). 28.23/28.41 thf(fact_513_R_Oide__trg, axiom, ![X2:a]:(((arr_a @ resid @ X2)=>(ide_a @ resid @ (trg_a @ resid @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_513_R_Oide__trg)). 28.23/28.41 thf(fact_499_R_Otrg__def, axiom, ![X2:a]:(((trg_a @ resid @ X2)=(resid @ X2 @ X2))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_499_R_Otrg__def)). 28.23/28.41 thf(fact_168_Con__rec_I3_J, axiom, ![X19:list_a, X2:a, X3:a]:((((X19)!=(nil_a))=>(((paths_in_Resid_a @ resid @ (cons_a @ X2 @ nil_a) @ (cons_a @ X3 @ X19))!=(nil_a))<=>((con_a @ resid @ X2 @ X3)&((paths_in_Resid_a @ resid @ (cons_a @ (resid @ X2 @ X3) @ nil_a) @ X19)!=(nil_a)))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_168_Con__rec_I3_J)). 28.23/28.41 thf(fact_9_Ide_Osimps_I1_J, axiom, ~((paths_in_Ide_a @ resid @ nil_a)), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_9_Ide_Osimps_I1_J)). 28.23/28.41 thf(fact_142_Ide_Osimps_I2_J, axiom, ![X2:a]:(((paths_in_Ide_a @ resid @ (cons_a @ X2 @ nil_a))<=>(ide_a @ resid @ X2))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_142_Ide_Osimps_I2_J)). 28.23/28.41 thf(fact_199_paths__in__rts_OResidx1_Osimps_I2_J, axiom, ![X80:a > a > a, X2:a, X3:a]:(((paths_in_rts_a @ X80)=>(((con_a @ X80 @ X2 @ X3)=>((paths_in_Residx1_a @ X80 @ (cons_a @ X2 @ nil_a) @ X3)=(cons_a @ (X80 @ X2 @ X3) @ nil_a)))&(~((con_a @ X80 @ X2 @ X3))=>((paths_in_Residx1_a @ X80 @ (cons_a @ X2 @ nil_a) @ X3)=(nil_a)))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_199_paths__in__rts_OResidx1_Osimps_I2_J)). 28.23/28.41 thf(fact_162_R_Oresid__arr__ide, axiom, ![X122:a, X2:a]:(((ide_a @ resid @ X122)=>((con_a @ resid @ X2 @ X122)=>((resid @ X2 @ X122)=(X2))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_162_R_Oresid__arr__ide)). 28.23/28.41 thf(fact_0_R_Ocube, axiom, ![X1:a, X2:a, X3:a]:(((resid @ (resid @ X1 @ X2) @ (resid @ X3 @ X2))=(resid @ (resid @ X1 @ X3) @ (resid @ X2 @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_0_R_Ocube)). 28.23/28.41 thf(fact_594_paths__in__rts_OIde__implies__Arr, axiom, ![X80:a > a > a, X18:list_a]:(((paths_in_rts_a @ X80)=>((paths_in_Ide_a @ X80 @ X18)=>(paths_in_Arr_a @ X80 @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_594_paths__in__rts_OIde__implies__Arr)). 28.23/28.41 thf(fact_140_Residx1__as__Resid, axiom, ![X18:list_a, X3:a]:(((paths_in_Residx1_a @ resid @ X18 @ X3)=(paths_in_Resid_a @ resid @ X18 @ (cons_a @ X3 @ nil_a)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_140_Residx1__as__Resid)). 28.23/28.41 thf(fact_586_paths__in__rts_OarrI_092_060_094sub_062P, axiom, ![X80:a > a > a, X18:list_a]:(((paths_in_rts_a @ X80)=>((paths_in_Arr_a @ X80 @ X18)=>(arr_list_a @ (paths_in_Resid_a @ X80) @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_586_paths__in__rts_OarrI_092_060_094sub_062P)). 28.23/28.41 thf(fact_78_paths__in__rts_Oide__char, axiom, ![X80:a > a > a, X18:list_a]:(((paths_in_rts_a @ X80)=>((ide_list_a @ (paths_in_Resid_a @ X80) @ X18)<=>(paths_in_Ide_a @ X80 @ X18)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_78_paths__in__rts_Oide__char)). 28.23/28.41 thf(fact_1102_composite__of__ide__arr, axiom, ![X29:list_a, X1469:list_a]:(((ide_list_a @ (paths_in_Resid_a @ resid) @ X29)=>((composite_of_list_a @ (paths_in_Resid_a @ resid) @ X29 @ X1469 @ X1469)<=>(con_list_a @ (paths_in_Resid_a @ resid) @ X1469 @ X29)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_1102_composite__of__ide__arr)). 28.23/28.41 thf(fact_241_prfx__implies__con, axiom, ![X185:list_a, X186:list_a]:(((ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ X185 @ X186))=>(con_list_a @ (paths_in_Resid_a @ resid) @ X185 @ X186))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_241_prfx__implies__con)). 28.23/28.41 thf(conj_0, conjecture, (paths_in_Ide_a @ resid @ (append_a @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)) @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', conj_0)). 28.23/28.41 thf(fact_1099_composable__def, axiom, ![X1463:list_a, X1464:list_a]:(((composable_list_a @ (paths_in_Resid_a @ resid) @ X1463 @ X1464)<=>?[X290:list_a]:((composite_of_list_a @ (paths_in_Resid_a @ resid) @ X1463 @ X1464 @ X290)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_1099_composable__def)). 28.23/28.41 thf(fact_185_residuation_Ocon__sym, axiom, ![X126:list_a > list_a > list_a, X127:list_a, X128:list_a]:(((residuation_list_a @ X126)=>((con_list_a @ X126 @ X127 @ X128)=>(con_list_a @ X126 @ X128 @ X127)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_185_residuation_Ocon__sym)). 28.23/28.41 thf(fact_470_rts__with__composites_Ocomposable__iff__seq, axiom, ![X405:list_a > list_a > list_a, X406:list_a, X407:list_a]:(((rts_wi1113109597627081724list_a @ X405)=>((composable_list_a @ X405 @ X406 @ X407)<=>(seq_list_a @ X405 @ X406 @ X407)))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_470_rts__with__composites_Ocomposable__iff__seq)). 28.23/28.41 thf(fact_240_resid__arr__ide, axiom, ![X29:list_a, X184:list_a]:(((ide_list_a @ (paths_in_Resid_a @ resid) @ X29)=>((con_list_a @ (paths_in_Resid_a @ resid) @ X184 @ X29)=>((paths_in_Resid_a @ resid @ X184 @ X29)=(X184))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_240_resid__arr__ide)). 28.23/28.41 thf(fact_478_paths__in__rts_Ocong__append__ideI_I1_J, axiom, ![X80:a > a > a, X18:list_a, X19:list_a]:(((paths_in_rts_a @ X80)=>((seq_list_a @ (paths_in_Resid_a @ X80) @ X18 @ X19)=>((ide_list_a @ (paths_in_Resid_a @ X80) @ X18)=>((ide_list_a @ (paths_in_Resid_a @ X80) @ (paths_in_Resid_a @ X80 @ (append_a @ X18 @ X19) @ X19))&(ide_list_a @ (paths_in_Resid_a @ X80) @ (paths_in_Resid_a @ X80 @ X19 @ (append_a @ X18 @ X19)))))))), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_478_paths__in__rts_Ocong__append__ideI_I1_J)). 28.23/28.41 thf(fact_48_rts__with__composites__axioms, axiom, (rts_wi1113109597627081724list_a @ (paths_in_Resid_a @ resid)), file('/export/starexec/sandbox2/tmp/tmp.cAYsumqNoY/Vampire---4.8_26355', fact_48_rts__with__composites__axioms)). 28.23/28.41 thf(c_0_48, plain, ![X5385:a, X5386:list_a, X5387:list_a]:(((append_a @ (cons_a @ X5385 @ X5386) @ X5387)=(cons_a @ X5385 @ (append_a @ X5386 @ X5387)))), inference(variable_rename,[status(thm)],[fact_125_append__Cons])). 28.23/28.41 thf(c_0_49, plain, ![X5390:list_a]:(((append_a @ nil_a @ X5390)=(X5390))), inference(variable_rename,[status(thm)],[fact_127_append_Oleft__neutral])). 28.23/28.41 thf(c_0_50, plain, ![X5146:list_a]:(((~(ide_list_a @ (paths_in_Resid_a @ resid) @ X5146)|(paths_in_Ide_a @ resid @ X5146))&(~(paths_in_Ide_a @ resid @ X5146)|(ide_list_a @ (paths_in_Resid_a @ resid) @ X5146)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_62_ide__char])])). 28.23/28.41 thf(c_0_51, plain, (ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (append_a @ (cons_a @ t @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)))), inference(split_conjunct,[status(thm)],[fact_49__C1_C])). 28.23/28.41 thf(c_0_52, plain, ![X1:a, X8:list_a, X10:list_a]:(((append_a @ (cons_a @ X1 @ X8) @ X10)=(cons_a @ X1 @ (append_a @ X8 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_48])). 28.23/28.41 thf(c_0_53, plain, ![X8:list_a]:(((append_a @ nil_a @ X8)=(X8))), inference(split_conjunct,[status(thm)],[c_0_49])). 28.23/28.41 thf(c_0_54, plain, ![X5197:list_a]:((~(paths_in_Ide_a @ resid @ X5197)|(paths_in_Arr_a @ resid @ X5197))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_525_Ide__implies__Arr])])). 28.23/28.41 thf(c_0_55, plain, ![X8:list_a]:(((paths_in_Ide_a @ resid @ X8)|~((ide_list_a @ (paths_in_Resid_a @ resid) @ X8)))), inference(split_conjunct,[status(thm)],[c_0_50])). 28.23/28.41 thf(c_0_56, plain, (ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52]), c_0_53])). 28.23/28.41 thf(c_0_57, plain, ![X5856:list_a]:(((~(arr_list_a @ (paths_in_Resid_a @ resid) @ X5856)|(paths_in_Arr_a @ resid @ X5856))&(~(paths_in_Arr_a @ resid @ X5856)|(arr_list_a @ (paths_in_Resid_a @ resid) @ X5856)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_511_arr__char])])). 28.23/28.41 thf(c_0_58, plain, ![X8:list_a]:(((paths_in_Arr_a @ resid @ X8)|~((paths_in_Ide_a @ resid @ X8)))), inference(split_conjunct,[status(thm)],[c_0_54])). 28.23/28.41 thf(c_0_59, plain, (paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 28.23/28.41 thf(c_0_60, plain, ![X7119:list_a > list_a > list_a, X7120:list_a, X7121:list_a]:(((~(arr_list_a @ X7119 @ (X7119 @ X7120 @ X7121))|(con_list_a @ X7119 @ X7120 @ X7121)|~(residuation_list_a @ X7119))&(~(con_list_a @ X7119 @ X7120 @ X7121)|(arr_list_a @ X7119 @ (X7119 @ X7120 @ X7121))|~(residuation_list_a @ X7119)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_456_residuation_Oarr__resid__iff__con])])])). 28.23/28.41 thf(c_0_61, plain, ![X8:list_a]:(((arr_list_a @ (paths_in_Resid_a @ resid) @ X8)|~((paths_in_Arr_a @ resid @ X8)))), inference(split_conjunct,[status(thm)],[c_0_57])). 28.23/28.41 thf(c_0_62, plain, (paths_in_Arr_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 28.23/28.41 thf(c_0_63, plain, ![X7104:list_a > list_a > list_a, X7105:list_a, X7106:list_a]:((~(residuation_list_a @ X7104)|(~(con_list_a @ X7104 @ X7105 @ X7106)|(arr_list_a @ X7104 @ X7106)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_444_residuation_Ocon__implies__arr_I2_J])])). 28.23/28.41 thf(c_0_64, plain, ![X8:list_a, X10:list_a, X63:list_a > list_a > list_a]:(((con_list_a @ X63 @ X8 @ X10)|~((arr_list_a @ X63 @ (X63 @ X8 @ X10)))|~((residuation_list_a @ X63)))), inference(split_conjunct,[status(thm)],[c_0_60])). 28.23/28.41 thf(c_0_65, plain, (arr_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)))), inference(spm,[status(thm)],[c_0_61, c_0_62])). 28.23/28.41 thf(c_0_66, plain, (residuation_list_a @ (paths_in_Resid_a @ resid)), inference(split_conjunct,[status(thm)],[fact_141_residuation__axioms])). 28.23/28.41 thf(c_0_67, plain, (ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a))), inference(split_conjunct,[status(thm)],[fact_36_assms])). 28.23/28.41 thf(c_0_68, plain, ![X5881:a > a > a, X5882:list_a]:(((~(arr_list_a @ (paths_in_Resid_a @ X5881) @ X5882)|(paths_in_Arr_a @ X5881 @ X5882)|~(paths_in_rts_a @ X5881))&(~(paths_in_Arr_a @ X5881 @ X5882)|(arr_list_a @ (paths_in_Resid_a @ X5881) @ X5882)|~(paths_in_rts_a @ X5881)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_587_paths__in__rts_Oarr__char])])])). 28.23/28.41 thf(c_0_69, plain, ![X8:list_a, X63:list_a > list_a > list_a, X10:list_a]:(((arr_list_a @ X63 @ X10)|~((residuation_list_a @ X63))|~((con_list_a @ X63 @ X8 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_63])). 28.23/28.41 thf(c_0_70, plain, (con_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ u @ nil_a) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66])])). 28.23/28.41 thf(c_0_71, plain, (paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a))), inference(spm,[status(thm)],[c_0_55, c_0_67])). 28.23/28.41 thf(c_0_72, plain, ![X6458:list_a]:((~(paths_in_Arr_a @ resid @ X6458)|(((tl_a @ X6458)=(nil_a))|(paths_in_Arr_a @ resid @ (tl_a @ X6458))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_555_Arr__imp__Arr__tl])])). 28.23/28.41 thf(c_0_73, plain, ![X8:list_a, X59:a > a > a]:(((paths_in_Arr_a @ X59 @ X8)|~((arr_list_a @ (paths_in_Resid_a @ X59) @ X8))|~((paths_in_rts_a @ X59)))), inference(split_conjunct,[status(thm)],[c_0_68])). 28.23/28.41 thf(c_0_74, plain, (arr_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_66])])). 28.23/28.41 thf(c_0_75, plain, (paths_in_rts_a @ resid), inference(split_conjunct,[status(thm)],[fact_35_paths__in__rts__axioms])). 28.23/28.41 thf(c_0_76, plain, ![X6446:a, X6447:list_a]:(((tl_a @ (cons_a @ X6446 @ X6447))=(X6447))), inference(variable_rename,[status(thm)],[fact_357_list_Osel_I3_J])). 28.23/28.41 thf(c_0_77, plain, ![X5969:a, X5970:list_a]:(((nil_a)!=(cons_a @ X5969 @ X5970))), inference(variable_rename,[status(thm)],[fact_123_list_Odistinct_I1_J])). 28.23/28.41 thf(c_0_78, plain, ![X6420:list_a, X6421:a]:((((X6420)!=(nil_a))|((last_a @ (cons_a @ X6421 @ X6420))=(X6421)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_289_last__ConsL])])). 28.23/28.41 thf(c_0_79, plain, (paths_in_Arr_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a))), inference(spm,[status(thm)],[c_0_58, c_0_71])). 28.23/28.41 thf(c_0_80, plain, ![X6436:a > a > a, X6437:list_a]:((~(paths_in_rts_a @ X6436)|(~(paths_in_Arr_a @ X6436 @ X6437)|(arr_a @ X6436 @ (last_a @ X6437))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_620_paths__in__rts_OArr__imp__arr__last])])). 28.23/28.41 thf(c_0_81, plain, ![X8:list_a]:((((tl_a @ X8)=(nil_a))|(paths_in_Arr_a @ resid @ (tl_a @ X8))|~((paths_in_Arr_a @ resid @ X8)))), inference(split_conjunct,[status(thm)],[c_0_72])). 28.23/28.41 thf(c_0_82, plain, (paths_in_Arr_a @ resid @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75])])). 28.23/28.41 thf(c_0_83, plain, ![X1:a, X8:list_a]:(((tl_a @ (cons_a @ X1 @ X8))=(X8))), inference(split_conjunct,[status(thm)],[c_0_76])). 28.23/28.41 thf(c_0_84, plain, ![X1:a, X8:list_a]:(((nil_a)!=(cons_a @ X1 @ X8))), inference(split_conjunct,[status(thm)],[c_0_77])). 28.23/28.41 thf(c_0_85, plain, ![X1:a, X8:list_a]:((((last_a @ (cons_a @ X1 @ X8))=(X1))|((X8)!=(nil_a)))), inference(split_conjunct,[status(thm)],[c_0_78])). 28.23/28.41 thf(c_0_86, plain, (arr_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a))), inference(spm,[status(thm)],[c_0_61, c_0_79])). 28.23/28.41 thf(c_0_87, plain, ![X7592:a > a > a, X7593:a, X7594:a]:(((~(arr_a @ X7592 @ (X7592 @ X7593 @ X7594))|(con_a @ X7592 @ X7593 @ X7594)|~(residuation_a @ X7592))&(~(con_a @ X7592 @ X7593 @ X7594)|(arr_a @ X7592 @ (X7592 @ X7593 @ X7594))|~(residuation_a @ X7592)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_455_residuation_Oarr__resid__iff__con])])])). 28.23/28.41 thf(c_0_88, plain, ![X59:a > a > a, X8:list_a]:(((arr_a @ X59 @ (last_a @ X8))|~((paths_in_rts_a @ X59))|~((paths_in_Arr_a @ X59 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_80])). 28.23/28.41 thf(c_0_89, plain, (paths_in_Arr_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83]), c_0_83]), c_0_84])). 28.23/28.41 thf(c_0_90, plain, ![X1:a]:(((last_a @ (cons_a @ X1 @ nil_a))=(X1))), inference(er,[status(thm)],[c_0_85])). 28.23/28.41 thf(c_0_91, plain, (con_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_86]), c_0_66])])). 28.23/28.41 thf(c_0_92, plain, ![X2:a, X3:a]:((((con_a @ resid @ X2 @ X3)=>((paths_in_Resid_a @ resid @ (cons_a @ X2 @ nil_a) @ (cons_a @ X3 @ nil_a))=(cons_a @ (resid @ X2 @ X3) @ nil_a)))&(~(con_a @ resid @ X2 @ X3)=>((paths_in_Resid_a @ resid @ (cons_a @ X2 @ nil_a) @ (cons_a @ X3 @ nil_a))=(nil_a))))), inference(fof_simplification,[status(thm)],[fact_144_Resid_Osimps_I3_J])). 28.23/28.41 thf(c_0_93, plain, ![X7511:a > a > a, X7512:a, X7513:a]:((~(residuation_a @ X7511)|(~(con_a @ X7511 @ X7512 @ X7513)|(con_a @ X7511 @ X7513 @ X7512)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_184_residuation_Ocon__sym])])). 28.23/28.41 thf(c_0_94, plain, ![X1:a, X2:a, X59:a > a > a]:(((con_a @ X59 @ X1 @ X2)|~((arr_a @ X59 @ (X59 @ X1 @ X2)))|~((residuation_a @ X59)))), inference(split_conjunct,[status(thm)],[c_0_87])). 28.23/28.41 thf(c_0_95, plain, (arr_a @ resid @ (resid @ u @ t)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90]), c_0_75])])). 28.23/28.41 thf(c_0_96, plain, (residuation_a @ resid), inference(split_conjunct,[status(thm)],[fact_230_R_Oresiduation__axioms])). 28.23/28.41 thf(c_0_97, plain, ![X7583:a > a > a, X7584:a]:((~(residuation_a @ X7583)|(~(arr_a @ X7583 @ X7584)|(con_a @ X7583 @ X7584 @ X7584)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_447_residuation_OarrE])])). 28.23/28.41 thf(c_0_98, plain, (arr_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ u @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_91]), c_0_66])])). 28.23/28.41 thf(c_0_99, plain, ![X5198:list_a]:((~(paths_in_Arr_a @ resid @ X5198)|(paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ X5198 @ X5198)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_545_Resid__Arr__self])])). 28.23/28.41 thf(c_0_100, plain, ![X5756:a, X5757:a]:(((~(con_a @ resid @ X5756 @ X5757)|((paths_in_Resid_a @ resid @ (cons_a @ X5756 @ nil_a) @ (cons_a @ X5757 @ nil_a))=(cons_a @ (resid @ X5756 @ X5757) @ nil_a)))&((con_a @ resid @ X5756 @ X5757)|((paths_in_Resid_a @ resid @ (cons_a @ X5756 @ nil_a) @ (cons_a @ X5757 @ nil_a))=(nil_a))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])). 28.23/28.41 thf(c_0_101, plain, ![X1:a, X59:a > a > a, X2:a]:(((con_a @ X59 @ X2 @ X1)|~((residuation_a @ X59))|~((con_a @ X59 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_93])). 28.23/28.41 thf(c_0_102, plain, (con_a @ resid @ u @ t), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_96])])). 28.23/28.41 thf(c_0_103, plain, ![X59:a > a > a, X1:a]:(((con_a @ X59 @ X1 @ X1)|~((residuation_a @ X59))|~((arr_a @ X59 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_97])). 28.23/28.41 thf(c_0_104, plain, ![X6190:a]:(((~(arr_a @ resid @ X6190)|(con_a @ resid @ X6190 @ X6190))&(~(con_a @ resid @ X6190 @ X6190)|(arr_a @ resid @ X6190)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_400_R_Oarr__def])])). 28.23/28.41 thf(c_0_105, plain, (paths_in_Arr_a @ resid @ (cons_a @ u @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_98]), c_0_75])])). 28.23/28.41 thf(c_0_106, plain, ![X8:list_a]:(((paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ X8 @ X8))|~((paths_in_Arr_a @ resid @ X8)))), inference(split_conjunct,[status(thm)],[c_0_99])). 28.23/28.41 thf(c_0_107, plain, ![X5641:list_a, X5642:list_a, X5643:list_a]:(((paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ X5641 @ X5642) @ (paths_in_Resid_a @ resid @ X5643 @ X5642))=(paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ X5641 @ X5643) @ (paths_in_Resid_a @ resid @ X5642 @ X5643)))), inference(variable_rename,[status(thm)],[fact_3_cube])). 28.23/28.41 thf(c_0_108, plain, ((paths_in_Resid_a @ resid @ (append_a @ (cons_a @ t @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)) @ (cons_a @ u @ nil_a))=(append_a @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)) @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)))), inference(split_conjunct,[status(thm)],[fact_26_calculation])). 28.23/28.41 thf(c_0_109, plain, ![X1:a, X2:a]:((((paths_in_Resid_a @ resid @ (cons_a @ X1 @ nil_a) @ (cons_a @ X2 @ nil_a))=(cons_a @ (resid @ X1 @ X2) @ nil_a))|~((con_a @ resid @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_100])). 28.23/28.41 thf(c_0_110, plain, (con_a @ resid @ t @ u), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_96])])). 28.23/28.41 thf(c_0_111, plain, (con_a @ resid @ (resid @ u @ t) @ (resid @ u @ t)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_95]), c_0_96])])). 28.23/28.41 thf(c_0_112, plain, ![X1:a]:(((con_a @ resid @ X1 @ X1)|~((arr_a @ resid @ X1)))), inference(split_conjunct,[status(thm)],[c_0_104])). 28.23/28.41 thf(c_0_113, plain, (arr_a @ resid @ u), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_105]), c_0_90]), c_0_75])])). 28.23/28.41 thf(c_0_114, plain, (paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a))) @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a))))), inference(spm,[status(thm)],[c_0_106, c_0_62])). 28.23/28.41 thf(c_0_115, plain, ![X8:list_a, X10:list_a, X11:list_a]:(((paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ X8 @ X10) @ (paths_in_Resid_a @ resid @ X11 @ X10))=(paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ X8 @ X11) @ (paths_in_Resid_a @ resid @ X10 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_107])). 28.23/28.41 thf(c_0_116, plain, ((append_a @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)) @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)))=(paths_in_Resid_a @ resid @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)) @ (cons_a @ u @ nil_a))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_52]), c_0_53])). 28.23/28.41 thf(c_0_117, plain, ((paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a))=(cons_a @ (resid @ t @ u) @ nil_a)), inference(spm,[status(thm)],[c_0_109, c_0_110])). 28.23/28.41 thf(c_0_118, plain, ((paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a))=(cons_a @ (resid @ (resid @ u @ t) @ (resid @ u @ t)) @ nil_a)), inference(spm,[status(thm)],[c_0_109, c_0_111])). 28.23/28.41 thf(c_0_119, plain, (con_a @ resid @ u @ u), inference(spm,[status(thm)],[c_0_112, c_0_113])). 28.23/28.41 thf(c_0_120, plain, ![X5162:list_a]:((~(paths_in_Ide_a @ resid @ X5162)|(ide_a @ resid @ (last_a @ X5162)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_228_Ide__imp__Ide__last])])). 28.23/28.41 thf(c_0_121, plain, ![X8625:a]:((~(arr_a @ resid @ X8625)|(ide_a @ resid @ (trg_a @ resid @ X8625)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_513_R_Oide__trg])])). 28.23/28.41 thf(c_0_122, plain, ![X8624:a]:(((trg_a @ resid @ X8624)=(resid @ X8624 @ X8624))), inference(variable_rename,[status(thm)],[fact_499_R_Otrg__def])). 28.23/28.41 thf(c_0_123, plain, (paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ u @ nil_a)) @ (paths_in_Resid_a @ resid @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)) @ (cons_a @ u @ nil_a)))), inference(rw,[status(thm)],[c_0_114, c_0_115])). 28.23/28.41 thf(c_0_124, plain, ((paths_in_Resid_a @ resid @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)) @ (cons_a @ u @ nil_a))=(cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ (resid @ u @ t) @ (resid @ u @ t)) @ nil_a))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_117]), c_0_52]), c_0_53]), c_0_118])). 28.23/28.41 thf(c_0_125, plain, ((paths_in_Resid_a @ resid @ (cons_a @ u @ nil_a) @ (cons_a @ u @ nil_a))=(cons_a @ (resid @ u @ u) @ nil_a)), inference(spm,[status(thm)],[c_0_109, c_0_119])). 28.23/28.41 thf(c_0_126, plain, ![X5762:list_a, X5763:a, X5764:a]:(((((con_a @ resid @ X5763 @ X5764)|((paths_in_Resid_a @ resid @ (cons_a @ X5763 @ nil_a) @ (cons_a @ X5764 @ X5762))=(nil_a))|((X5762)=(nil_a)))&(((paths_in_Resid_a @ resid @ (cons_a @ (resid @ X5763 @ X5764) @ nil_a) @ X5762)!=(nil_a))|((paths_in_Resid_a @ resid @ (cons_a @ X5763 @ nil_a) @ (cons_a @ X5764 @ X5762))=(nil_a))|((X5762)=(nil_a))))&(~(con_a @ resid @ X5763 @ X5764)|((paths_in_Resid_a @ resid @ (cons_a @ (resid @ X5763 @ X5764) @ nil_a) @ X5762)=(nil_a))|((paths_in_Resid_a @ resid @ (cons_a @ X5763 @ nil_a) @ (cons_a @ X5764 @ X5762))!=(nil_a))|((X5762)=(nil_a))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_168_Con__rec_I3_J])])])). 28.23/28.41 thf(c_0_127, plain, ~(paths_in_Ide_a @ resid @ nil_a), inference(fof_simplification,[status(thm)],[fact_9_Ide_Osimps_I1_J])). 28.23/28.41 thf(c_0_128, plain, ![X8:list_a]:(((ide_a @ resid @ (last_a @ X8))|~((paths_in_Ide_a @ resid @ X8)))), inference(split_conjunct,[status(thm)],[c_0_120])). 28.23/28.41 thf(c_0_129, plain, ![X5161:a]:(((~(paths_in_Ide_a @ resid @ (cons_a @ X5161 @ nil_a))|(ide_a @ resid @ X5161))&(~(ide_a @ resid @ X5161)|(paths_in_Ide_a @ resid @ (cons_a @ X5161 @ nil_a))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_142_Ide_Osimps_I2_J])])). 28.23/28.41 thf(c_0_130, plain, ![X1:a]:(((ide_a @ resid @ (trg_a @ resid @ X1))|~((arr_a @ resid @ X1)))), inference(split_conjunct,[status(thm)],[c_0_121])). 28.23/28.41 thf(c_0_131, plain, ![X1:a]:(((trg_a @ resid @ X1)=(resid @ X1 @ X1))), inference(split_conjunct,[status(thm)],[c_0_122])). 28.23/28.41 thf(c_0_132, plain, ![X80:a > a > a, X2:a, X3:a]:(((paths_in_rts_a @ X80)=>(((con_a @ X80 @ X2 @ X3)=>((paths_in_Residx1_a @ X80 @ (cons_a @ X2 @ nil_a) @ X3)=(cons_a @ (X80 @ X2 @ X3) @ nil_a)))&(~(con_a @ X80 @ X2 @ X3)=>((paths_in_Residx1_a @ X80 @ (cons_a @ X2 @ nil_a) @ X3)=(nil_a)))))), inference(fof_simplification,[status(thm)],[fact_199_paths__in__rts_OResidx1_Osimps_I2_J])). 28.23/28.41 thf(c_0_133, plain, ![X6178:a, X6179:a]:((~(ide_a @ resid @ X6178)|(~(con_a @ resid @ X6179 @ X6178)|((resid @ X6179 @ X6178)=(X6179))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_162_R_Oresid__arr__ide])])). 28.23/28.41 thf(c_0_134, plain, (paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ u) @ nil_a) @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ (resid @ u @ t) @ (resid @ u @ t)) @ nil_a)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_125])). 28.23/28.41 thf(c_0_135, plain, ![X1:a, X2:a, X8:list_a]:(((con_a @ resid @ X1 @ X2)|((paths_in_Resid_a @ resid @ (cons_a @ X1 @ nil_a) @ (cons_a @ X2 @ X8))=(nil_a))|((X8)=(nil_a)))), inference(split_conjunct,[status(thm)],[c_0_126])). 28.23/28.41 thf(c_0_136, plain, ~((paths_in_Ide_a @ resid @ nil_a)), inference(split_conjunct,[status(thm)],[c_0_127])). 28.23/28.41 thf(c_0_137, plain, (ide_a @ resid @ (last_a @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)))), inference(spm,[status(thm)],[c_0_128, c_0_71])). 28.23/28.41 thf(c_0_138, plain, ![X6129:a, X6130:a, X6131:a]:(((resid @ (resid @ X6129 @ X6130) @ (resid @ X6131 @ X6130))=(resid @ (resid @ X6129 @ X6131) @ (resid @ X6130 @ X6131)))), inference(variable_rename,[status(thm)],[fact_0_R_Ocube])). 28.23/28.41 thf(c_0_139, plain, ![X5208:a > a > a, X5209:list_a]:((~(paths_in_rts_a @ X5208)|(~(paths_in_Ide_a @ X5208 @ X5209)|(paths_in_Arr_a @ X5208 @ X5209)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_594_paths__in__rts_OIde__implies__Arr])])). 28.23/28.41 thf(c_0_140, plain, ![X1:a]:(((paths_in_Ide_a @ resid @ (cons_a @ X1 @ nil_a))|~((ide_a @ resid @ X1)))), inference(split_conjunct,[status(thm)],[c_0_129])). 28.23/28.41 thf(c_0_141, plain, (ide_a @ resid @ (resid @ u @ u)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_113]), c_0_131])). 28.23/28.41 thf(c_0_142, plain, ![X7519:a > a > a, X7520:a, X7521:a]:(((~(con_a @ X7519 @ X7520 @ X7521)|((paths_in_Residx1_a @ X7519 @ (cons_a @ X7520 @ nil_a) @ X7521)=(cons_a @ (X7519 @ X7520 @ X7521) @ nil_a))|~(paths_in_rts_a @ X7519))&((con_a @ X7519 @ X7520 @ X7521)|((paths_in_Residx1_a @ X7519 @ (cons_a @ X7520 @ nil_a) @ X7521)=(nil_a))|~(paths_in_rts_a @ X7519)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])])). 28.23/28.41 thf(c_0_143, plain, ![X8472:list_a, X8473:a]:(((paths_in_Residx1_a @ resid @ X8472 @ X8473)=(paths_in_Resid_a @ resid @ X8472 @ (cons_a @ X8473 @ nil_a)))), inference(variable_rename,[status(thm)],[fact_140_Residx1__as__Resid])). 28.23/28.41 thf(c_0_144, plain, ![X2:a, X1:a]:((((resid @ X2 @ X1)=(X2))|~((ide_a @ resid @ X1))|~((con_a @ resid @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_133])). 28.23/28.41 thf(c_0_145, plain, (con_a @ resid @ (resid @ u @ u) @ (resid @ t @ u)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_135]), c_0_136]), c_0_84])). 28.23/28.41 thf(c_0_146, plain, (ide_a @ resid @ (resid @ t @ u)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_117]), c_0_90])). 28.23/28.41 thf(c_0_147, plain, ![X1:a, X2:a, X3:a]:(((resid @ (resid @ X1 @ X2) @ (resid @ X3 @ X2))=(resid @ (resid @ X1 @ X3) @ (resid @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_138])). 28.23/28.41 thf(c_0_148, plain, ![X5879:a > a > a, X5880:list_a]:((~(paths_in_rts_a @ X5879)|(~(paths_in_Arr_a @ X5879 @ X5880)|(arr_list_a @ (paths_in_Resid_a @ X5879) @ X5880)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_586_paths__in__rts_OarrI_092_060_094sub_062P])])). 28.23/28.41 thf(c_0_149, plain, ![X59:a > a > a, X8:list_a]:(((paths_in_Arr_a @ X59 @ X8)|~((paths_in_rts_a @ X59))|~((paths_in_Ide_a @ X59 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_139])). 28.23/28.41 thf(c_0_150, plain, (paths_in_Ide_a @ resid @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(spm,[status(thm)],[c_0_140, c_0_141])). 28.23/28.41 thf(c_0_151, plain, ![X1:a, X2:a, X59:a > a > a]:((((paths_in_Residx1_a @ X59 @ (cons_a @ X1 @ nil_a) @ X2)=(cons_a @ (X59 @ X1 @ X2) @ nil_a))|~((con_a @ X59 @ X1 @ X2))|~((paths_in_rts_a @ X59)))), inference(split_conjunct,[status(thm)],[c_0_142])). 28.23/28.41 thf(c_0_152, plain, ![X8:list_a, X1:a]:(((paths_in_Residx1_a @ resid @ X8 @ X1)=(paths_in_Resid_a @ resid @ X8 @ (cons_a @ X1 @ nil_a)))), inference(split_conjunct,[status(thm)],[c_0_143])). 28.23/28.41 thf(c_0_153, plain, ((resid @ (resid @ u @ t) @ (resid @ u @ t))=(resid @ u @ u)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_145]), c_0_146])]), c_0_147])). 28.23/28.41 thf(c_0_154, plain, ![X59:a > a > a, X8:list_a]:(((arr_list_a @ (paths_in_Resid_a @ X59) @ X8)|~((paths_in_rts_a @ X59))|~((paths_in_Arr_a @ X59 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_148])). 28.23/28.41 thf(c_0_155, plain, (paths_in_Arr_a @ resid @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_75])])). 28.23/28.41 thf(c_0_156, plain, ![X5147:a > a > a, X5148:list_a]:(((~(ide_list_a @ (paths_in_Resid_a @ X5147) @ X5148)|(paths_in_Ide_a @ X5147 @ X5148)|~(paths_in_rts_a @ X5147))&(~(paths_in_Ide_a @ X5147 @ X5148)|(ide_list_a @ (paths_in_Resid_a @ X5147) @ X5148)|~(paths_in_rts_a @ X5147)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_78_paths__in__rts_Oide__char])])])). 28.23/28.41 thf(c_0_157, plain, ![X6294:list_a, X6295:list_a]:(((~(composite_of_list_a @ (paths_in_Resid_a @ resid) @ X6294 @ X6295 @ X6295)|(con_list_a @ (paths_in_Resid_a @ resid) @ X6295 @ X6294)|~(ide_list_a @ (paths_in_Resid_a @ resid) @ X6294))&(~(con_list_a @ (paths_in_Resid_a @ resid) @ X6295 @ X6294)|(composite_of_list_a @ (paths_in_Resid_a @ resid) @ X6294 @ X6295 @ X6295)|~(ide_list_a @ (paths_in_Resid_a @ resid) @ X6294)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1102_composite__of__ide__arr])])])). 28.23/28.41 thf(c_0_158, plain, ((paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ u) @ nil_a) @ (cons_a @ (resid @ t @ u) @ nil_a))=(cons_a @ (resid @ u @ u) @ nil_a)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_145]), c_0_152]), c_0_75])]), c_0_147]), c_0_153])). 28.23/28.41 thf(c_0_159, plain, (arr_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_75])])). 28.23/28.41 thf(c_0_160, plain, ![X5802:list_a, X5803:list_a]:((~(ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ X5802 @ X5803))|(con_list_a @ (paths_in_Resid_a @ resid) @ X5802 @ X5803))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_241_prfx__implies__con])])). 28.23/28.41 thf(c_0_161, plain, ![X8:list_a, X59:a > a > a]:(((ide_list_a @ (paths_in_Resid_a @ X59) @ X8)|~((paths_in_Ide_a @ X59 @ X8))|~((paths_in_rts_a @ X59)))), inference(split_conjunct,[status(thm)],[c_0_156])). 28.23/28.41 thf(c_0_162, plain, (paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ u) @ nil_a) @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a)))), inference(spm,[status(thm)],[c_0_134, c_0_153])). 28.23/28.41 thf(c_0_163, negated_conjecture, ~(paths_in_Ide_a @ resid @ (append_a @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)) @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 28.23/28.41 thf(c_0_164, plain, ![X7170:list_a, X7171:list_a, X7173:list_a, X7174:list_a, X7175:list_a]:(((~(composable_list_a @ (paths_in_Resid_a @ resid) @ X7170 @ X7171)|(composite_of_list_a @ (paths_in_Resid_a @ resid) @ X7170 @ X7171 @ (esk252_2 @ X7170 @ X7171)))&(~(composite_of_list_a @ (paths_in_Resid_a @ resid) @ X7173 @ X7174 @ X7175)|(composable_list_a @ (paths_in_Resid_a @ resid) @ X7173 @ X7174)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1099_composable__def])])])])])). 28.23/28.41 thf(c_0_165, plain, ![X8:list_a, X10:list_a]:(((composite_of_list_a @ (paths_in_Resid_a @ resid) @ X10 @ X8 @ X8)|~((con_list_a @ (paths_in_Resid_a @ resid) @ X8 @ X10))|~((ide_list_a @ (paths_in_Resid_a @ resid) @ X10)))), inference(split_conjunct,[status(thm)],[c_0_157])). 28.23/28.41 thf(c_0_166, plain, (con_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ u @ u) @ nil_a) @ (cons_a @ (resid @ t @ u) @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_158]), c_0_159]), c_0_66])])). 28.23/28.41 thf(c_0_167, plain, (ide_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ t @ u) @ nil_a)), inference(rw,[status(thm)],[c_0_67, c_0_117])). 28.23/28.41 thf(c_0_168, plain, ![X7623:list_a > list_a > list_a, X7624:list_a, X7625:list_a]:((~(residuation_list_a @ X7623)|(~(con_list_a @ X7623 @ X7624 @ X7625)|(con_list_a @ X7623 @ X7625 @ X7624)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_185_residuation_Ocon__sym])])). 28.23/28.41 thf(c_0_169, plain, ![X8:list_a, X10:list_a]:(((con_list_a @ (paths_in_Resid_a @ resid) @ X8 @ X10)|~((ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ X8 @ X10))))), inference(split_conjunct,[status(thm)],[c_0_160])). 28.23/28.41 thf(c_0_170, plain, (ide_list_a @ (paths_in_Resid_a @ resid) @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ u) @ nil_a) @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_75])])). 28.23/28.41 thf(c_0_171, negated_conjecture, ~((paths_in_Ide_a @ resid @ (append_a @ (paths_in_Resid_a @ resid @ (cons_a @ t @ nil_a) @ (cons_a @ u @ nil_a)) @ (paths_in_Resid_a @ resid @ (cons_a @ (resid @ u @ t) @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a))))), inference(split_conjunct,[status(thm)],[c_0_163])). 28.23/28.41 thf(c_0_172, plain, ![X8353:list_a > list_a > list_a, X8354:list_a, X8355:list_a]:(((~(composable_list_a @ X8353 @ X8354 @ X8355)|(seq_list_a @ X8353 @ X8354 @ X8355)|~(rts_wi1113109597627081724list_a @ X8353))&(~(seq_list_a @ X8353 @ X8354 @ X8355)|(composable_list_a @ X8353 @ X8354 @ X8355)|~(rts_wi1113109597627081724list_a @ X8353)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_470_rts__with__composites_Ocomposable__iff__seq])])])). 28.23/28.41 thf(c_0_173, plain, ![X8:list_a, X10:list_a, X11:list_a]:(((composable_list_a @ (paths_in_Resid_a @ resid) @ X8 @ X10)|~((composite_of_list_a @ (paths_in_Resid_a @ resid) @ X8 @ X10 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_164])). 28.23/28.41 thf(c_0_174, plain, (composite_of_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ t @ u) @ nil_a) @ (cons_a @ (resid @ u @ u) @ nil_a) @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_166]), c_0_167])])). 28.23/28.41 thf(c_0_175, plain, ![X5800:list_a, X5801:list_a]:((~(ide_list_a @ (paths_in_Resid_a @ resid) @ X5800)|(~(con_list_a @ (paths_in_Resid_a @ resid) @ X5801 @ X5800)|((paths_in_Resid_a @ resid @ X5801 @ X5800)=(X5801))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_240_resid__arr__ide])])). 28.23/28.41 thf(c_0_176, plain, ![X8:list_a, X63:list_a > list_a > list_a, X10:list_a]:(((con_list_a @ X63 @ X10 @ X8)|~((residuation_list_a @ X63))|~((con_list_a @ X63 @ X8 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_168])). 28.23/28.41 thf(c_0_177, plain, (con_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ u @ u) @ nil_a) @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a))), inference(spm,[status(thm)],[c_0_169, c_0_170])). 28.23/28.41 thf(c_0_178, negated_conjecture, ~((paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (append_a @ (cons_a @ t @ nil_a) @ (cons_a @ (resid @ u @ t) @ nil_a)) @ (cons_a @ u @ nil_a)))), inference(rw,[status(thm)],[c_0_171, c_0_108])). 28.23/28.41 thf(c_0_179, plain, ![X5460:a > a > a, X5461:list_a, X5462:list_a]:((((ide_list_a @ (paths_in_Resid_a @ X5460) @ (paths_in_Resid_a @ X5460 @ (append_a @ X5461 @ X5462) @ X5462))|~(ide_list_a @ (paths_in_Resid_a @ X5460) @ X5461)|~(seq_list_a @ (paths_in_Resid_a @ X5460) @ X5461 @ X5462)|~(paths_in_rts_a @ X5460))&((ide_list_a @ (paths_in_Resid_a @ X5460) @ (paths_in_Resid_a @ X5460 @ X5462 @ (append_a @ X5461 @ X5462)))|~(ide_list_a @ (paths_in_Resid_a @ X5460) @ X5461)|~(seq_list_a @ (paths_in_Resid_a @ X5460) @ X5461 @ X5462)|~(paths_in_rts_a @ X5460)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_478_paths__in__rts_Ocong__append__ideI_I1_J])])])). 28.23/28.41 thf(c_0_180, plain, ![X8:list_a, X10:list_a, X63:list_a > list_a > list_a]:(((seq_list_a @ X63 @ X8 @ X10)|~((composable_list_a @ X63 @ X8 @ X10))|~((rts_wi1113109597627081724list_a @ X63)))), inference(split_conjunct,[status(thm)],[c_0_172])). 28.23/28.41 thf(c_0_181, plain, (composable_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ t @ u) @ nil_a) @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(spm,[status(thm)],[c_0_173, c_0_174])). 28.23/28.41 thf(c_0_182, plain, (rts_wi1113109597627081724list_a @ (paths_in_Resid_a @ resid)), inference(split_conjunct,[status(thm)],[fact_48_rts__with__composites__axioms])). 28.23/28.41 thf(c_0_183, plain, ![X10:list_a, X8:list_a]:((((paths_in_Resid_a @ resid @ X10 @ X8)=(X10))|~((ide_list_a @ (paths_in_Resid_a @ resid) @ X8))|~((con_list_a @ (paths_in_Resid_a @ resid) @ X10 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_175])). 28.23/28.41 thf(c_0_184, plain, (con_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a)) @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_177]), c_0_66])])). 28.23/28.41 thf(c_0_185, plain, (ide_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_150]), c_0_75])])). 28.23/28.41 thf(c_0_186, negated_conjecture, ~((paths_in_Ide_a @ resid @ (paths_in_Resid_a @ resid @ (cons_a @ t @ (cons_a @ (resid @ u @ t) @ nil_a)) @ (cons_a @ u @ nil_a)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178, c_0_52]), c_0_53])). 28.23/28.41 thf(c_0_187, plain, ![X8:list_a, X10:list_a, X59:a > a > a]:(((ide_list_a @ (paths_in_Resid_a @ X59) @ (paths_in_Resid_a @ X59 @ (append_a @ X8 @ X10) @ X10))|~((ide_list_a @ (paths_in_Resid_a @ X59) @ X8))|~((seq_list_a @ (paths_in_Resid_a @ X59) @ X8 @ X10))|~((paths_in_rts_a @ X59)))), inference(split_conjunct,[status(thm)],[c_0_179])). 28.23/28.41 thf(c_0_188, plain, (seq_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ t @ u) @ nil_a) @ (cons_a @ (resid @ u @ u) @ nil_a)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_181]), c_0_182])])). 28.23/28.41 thf(c_0_189, plain, ((paths_in_Resid_a @ resid @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a)) @ (cons_a @ (resid @ u @ u) @ nil_a))=(cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_184]), c_0_185])])). 28.23/28.41 thf(c_0_190, negated_conjecture, ~((paths_in_Ide_a @ resid @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ (resid @ u @ t) @ (resid @ u @ t)) @ nil_a)))), inference(rw,[status(thm)],[c_0_186, c_0_124])). 28.23/28.41 thf(c_0_191, plain, ![X8:list_a, X59:a > a > a]:(((paths_in_Ide_a @ X59 @ X8)|~((ide_list_a @ (paths_in_Resid_a @ X59) @ X8))|~((paths_in_rts_a @ X59)))), inference(split_conjunct,[status(thm)],[c_0_156])). 28.23/28.41 thf(c_0_192, plain, (ide_list_a @ (paths_in_Resid_a @ resid) @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187, c_0_188]), c_0_52]), c_0_53]), c_0_167]), c_0_75])]), c_0_189])). 28.23/28.41 thf(c_0_193, negated_conjecture, ~((paths_in_Ide_a @ resid @ (cons_a @ (resid @ t @ u) @ (cons_a @ (resid @ u @ u) @ nil_a)))), inference(spm,[status(thm)],[c_0_190, c_0_153])). 28.23/28.41 thf(c_0_194, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_192]), c_0_75])]), c_0_193]), ['proof']). 28.23/28.41 # SZS output end CNFRefutation 28.23/28.41 # Parsed axioms : 1412 28.23/28.41 # Removed by relevancy pruning/SinE : 175 28.23/28.41 # Initial clauses : 3570 28.23/28.41 # Removed in clause preprocessing : 303 28.23/28.41 # Initial clauses in saturation : 3267 28.23/28.41 # Processed clauses : 9094 28.23/28.41 # ...of these trivial : 843 28.23/28.41 # ...subsumed : 1671 28.23/28.41 # ...remaining for further processing : 6580 28.23/28.41 # Other redundant clauses eliminated : 675 28.23/28.41 # Clauses deleted for lack of memory : 0 28.23/28.41 # Backward-subsumed : 17 28.23/28.41 # Backward-rewritten : 120 28.23/28.41 # Generated clauses : 49230 28.23/28.41 # ...of the previous two non-redundant : 43181 28.23/28.41 # ...aggressively subsumed : 0 28.23/28.41 # Contextual simplify-reflections : 0 28.23/28.41 # Paramodulations : 48220 28.23/28.41 # Factorizations : 18 28.23/28.41 # NegExts : 4 28.23/28.41 # Equation resolutions : 736 28.23/28.41 # Propositional unsat checks : 1 28.23/28.41 # Propositional check models : 0 28.23/28.41 # Propositional check unsatisfiable : 0 28.23/28.41 # Propositional clauses : 0 28.23/28.41 # Propositional clauses after purity: 0 28.23/28.41 # Propositional unsat core size : 0 28.23/28.41 # Propositional preprocessing time : 0.000 28.23/28.41 # Propositional encoding time : 0.032 28.23/28.41 # Propositional solver time : 0.020 28.23/28.41 # Success case prop preproc time : 0.000 28.23/28.41 # Success case prop encoding time : 0.000 28.23/28.41 # Success case prop solver time : 0.000 28.23/28.41 # Current number of processed clauses : 3630 28.23/28.41 # Positive orientable unit clauses : 871 28.23/28.41 # Positive unorientable unit clauses: 6 28.23/28.41 # Negative unit clauses : 64 28.23/28.41 # Non-unit-clauses : 2689 28.23/28.41 # Current number of unprocessed clauses: 39865 28.23/28.41 # ...number of literals in the above : 136326 28.23/28.41 # Current number of archived formulas : 0 28.23/28.41 # Current number of archived clauses : 2763 28.23/28.41 # Clause-clause subsumption calls (NU) : 4076809 28.23/28.41 # Rec. Clause-clause subsumption calls : 560708 28.23/28.41 # Non-unit clause-clause subsumptions : 668 28.23/28.41 # Unit Clause-clause subsumption calls : 88284 28.23/28.41 # Rewrite failures with RHS unbound : 3 28.23/28.41 # BW rewrite match attempts : 2856 28.23/28.41 # BW rewrite match successes : 99 28.23/28.41 # Condensation attempts : 0 28.23/28.41 # Condensation successes : 0 28.23/28.41 # Termbank termtop insertions : 2161625 28.23/28.41 28.23/28.41 # ------------------------------------------------- 28.23/28.41 # User time : 27.167 s 28.23/28.41 # System time : 0.528 s 28.23/28.41 # Total time : 27.695 s 28.23/28.41 # Maximum resident set size: 15460 pages 28.23/28.41 28.23/28.41 # ------------------------------------------------- 28.23/28.41 # User time : 27.231 s 28.23/28.41 # System time : 0.532 s 28.23/28.41 # Total time : 27.763 s 28.23/28.41 # Maximum resident set size: 4820 pages 28.23/28.41 EOF