0.11/0.28 % Problem : SLH0474^1 : TPTP v8.2.0. Released v8.2.0. 0.11/0.29 % Command : run_E %s %d THM 0.28/0.50 % Computer : n026.cluster.edu 0.28/0.50 % Model : x86_64 x86_64 0.28/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.28/0.50 % Memory : 8042.1875MB 0.28/0.50 % OS : Linux 3.10.0-693.el7.x86_64 0.28/0.50 % CPULimit : 30 0.28/0.50 % WCLimit : 30 0.28/0.50 % DateTime : Mon Jul 3 10:04:37 EDT 2023 0.28/0.50 % CPUTime : 0.40/0.61 The problem SPC is TH0_THM_EQU_NAR 0.40/0.61 Running higher-order on 1 cores theorem proving 0.40/0.61 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.VFC3YoUoeA/Vampire---4.8_31712 0.40/0.61 # Version: 3.0pre003-ho 20.88/21.08 # partial match(1): HSLMSMSMSSMNHFA 20.88/21.08 # Preprocessing class: HMLMSMSMSSMNHFA. 20.88/21.08 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 20.88/21.08 # Starting full_lambda_6 with 30s (1) cores 20.88/21.08 # full_lambda_6 with pid 31895 completed with status 0 20.88/21.08 # Result found by full_lambda_6 20.88/21.08 # partial match(1): HSLMSMSMSSMNHFA 20.88/21.08 # Preprocessing class: HMLMSMSMSSMNHFA. 20.88/21.08 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 20.88/21.08 # Starting full_lambda_6 with 30s (1) cores 20.88/21.08 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 20.88/21.08 # ...ProofStateSinE()=834/1486 20.88/21.08 # Search class: HGHSM-SMLM32-DHFFFFBN 20.88/21.08 # partial match(1): HGHSM-SMLM32-DHFFFSBN 20.88/21.08 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 20.88/21.08 # Starting new_ho_10 with 17s (1) cores 20.88/21.08 # new_ho_10 with pid 31896 completed with status 7 20.88/21.08 # Starting full_lambda_6 with 4s (1) cores 20.88/21.08 # full_lambda_6 with pid 31948 completed with status 0 20.88/21.08 # Result found by full_lambda_6 20.88/21.08 # partial match(1): HSLMSMSMSSMNHFA 20.88/21.08 # Preprocessing class: HMLMSMSMSSMNHFA. 20.88/21.08 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 20.88/21.08 # Starting full_lambda_6 with 30s (1) cores 20.88/21.08 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 20.88/21.08 # ...ProofStateSinE()=834/1486 20.88/21.08 # Search class: HGHSM-SMLM32-DHFFFFBN 20.88/21.08 # partial match(1): HGHSM-SMLM32-DHFFFSBN 20.88/21.08 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 20.88/21.08 # Starting new_ho_10 with 17s (1) cores 20.88/21.08 # new_ho_10 with pid 31896 completed with status 7 20.88/21.08 # Starting full_lambda_6 with 4s (1) cores 20.88/21.08 # Preprocessing time : 0.103 s 20.88/21.08 # Presaturation interreduction done 20.88/21.08 20.88/21.08 # Proof found! 20.88/21.08 # SZS status Theorem 20.88/21.08 # SZS output start CNFRefutation 20.88/21.08 thf(decl_22, type, connecting_path_a: set_a > set_set_a > a > a > list_a > $o). 20.88/21.08 thf(decl_23, type, connec3015921205769380621_str_a: set_a > set_set_a > a > a > list_a > $o). 20.88/21.08 thf(decl_24, type, connecting_paths_a: set_a > set_set_a > a > a > set_list_a). 20.88/21.08 thf(decl_25, type, connec8013666829861640224d_enat: set_Extended_enat > set_se7270636423289371942d_enat > extended_enat > extended_enat > list_Extended_enat > $o). 20.88/21.08 thf(decl_26, type, connec199767811898174526list_a: set_list_a > set_set_list_a > list_a > list_a > list_list_a > $o). 20.88/21.08 thf(decl_27, type, connec1530789871921280536_set_a: set_set_a > set_set_set_a > set_a > set_a > list_set_a > $o). 20.88/21.08 thf(decl_28, type, connecting_walk_a: set_a > set_set_a > a > a > list_a > $o). 20.88/21.08 thf(decl_29, type, is_con401174901234877790d_enat: set_Extended_enat > set_se7270636423289371942d_enat > set_Extended_enat > $o). 20.88/21.08 thf(decl_30, type, is_con2104057704379717756list_a: set_list_a > set_set_list_a > set_list_a > $o). 20.88/21.08 thf(decl_31, type, is_con4959690429341542943od_a_a: set_Product_prod_a_a > set_se5735800977113168103od_a_a > set_Product_prod_a_a > $o). 20.88/21.08 thf(decl_32, type, is_con2765351527594500438_set_a: set_set_a > set_set_set_a > set_set_a > $o). 20.88/21.08 thf(decl_33, type, is_connected_set_a: set_a > set_set_a > set_a > $o). 20.88/21.08 thf(decl_34, type, shorte4747235720229482546d_enat: set_Extended_enat > set_se7270636423289371942d_enat > extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_35, type, shortest_path_list_a: set_list_a > set_set_list_a > list_a > list_a > extended_enat). 20.88/21.08 thf(decl_36, type, shortest_path_set_a: set_set_a > set_set_set_a > set_a > set_a > extended_enat). 20.88/21.08 thf(decl_37, type, shortest_path_a: set_a > set_set_a > a > a > extended_enat). 20.88/21.08 thf(decl_38, type, vert_c1578730505015745809d_enat: set_Extended_enat > set_se7270636423289371942d_enat > extended_enat > extended_enat > $o). 20.88/21.08 thf(decl_39, type, vert_c1949232457638123951list_a: set_list_a > set_set_list_a > list_a > list_a > $o). 20.88/21.08 thf(decl_40, type, vert_connected_set_a: set_set_a > set_set_set_a > set_a > set_a > $o). 20.88/21.08 thf(decl_41, type, vert_connected_a: set_a > set_set_a > a > a > $o). 20.88/21.08 thf(decl_42, type, vert_connected_n_a: set_a > set_set_a > a > a > nat > $o). 20.88/21.08 thf(decl_43, type, extended_enat2: nat > extended_enat). 20.88/21.08 thf(decl_44, type, extend5688581933313929465d_enat: extended_enat). 20.88/21.08 thf(decl_45, type, finite4795055649997197647od_a_a: set_Product_prod_a_a > nat). 20.88/21.08 thf(decl_46, type, finite410649719033368117t_unit: set_Product_unit > nat). 20.88/21.08 thf(decl_47, type, finite_card_set_a: set_set_a > nat). 20.88/21.08 thf(decl_48, type, finite_card_a: set_a > nat). 20.88/21.08 thf(decl_49, type, finite4001608067531595151d_enat: set_Extended_enat > $o). 20.88/21.08 thf(decl_50, type, finite_finite_list_a: set_list_a > $o). 20.88/21.08 thf(decl_51, type, finite_finite_nat: set_nat > $o). 20.88/21.08 thf(decl_52, type, finite6544458595007987280od_a_a: set_Product_prod_a_a > $o). 20.88/21.08 thf(decl_53, type, finite5282473924520328461list_a: set_set_list_a > $o). 20.88/21.08 thf(decl_54, type, finite8717734299975451184od_a_a: set_se5735800977113168103od_a_a > $o). 20.88/21.08 thf(decl_55, type, finite7209287970140883943_set_a: set_set_set_a > $o). 20.88/21.08 thf(decl_56, type, finite_finite_set_a: set_set_a > $o). 20.88/21.08 thf(decl_57, type, finite_finite_a: set_a > $o). 20.88/21.08 thf(decl_58, type, one_on7984719198319812577d_enat: extended_enat). 20.88/21.08 thf(decl_59, type, one_one_nat: nat). 20.88/21.08 thf(decl_60, type, one_one_real: real). 20.88/21.08 thf(decl_61, type, plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_62, type, plus_plus_nat: nat > nat > nat). 20.88/21.08 thf(decl_63, type, plus_plus_real: real > real > real). 20.88/21.08 thf(decl_64, type, times_times_nat: nat > nat > nat). 20.88/21.08 thf(decl_65, type, zero_z5237406670263579293d_enat: extended_enat). 20.88/21.08 thf(decl_66, type, zero_zero_nat: nat). 20.88/21.08 thf(decl_67, type, zero_zero_real: real). 20.88/21.08 thf(decl_68, type, inf_inf_set_a: set_a > set_a > set_a). 20.88/21.08 thf(decl_69, type, sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_70, type, sup_sup_nat: nat > nat > nat). 20.88/21.08 thf(decl_71, type, sup_su4489774667511045786d_enat: set_Extended_enat > set_Extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_72, type, sup_sup_set_list_a: set_list_a > set_list_a > set_list_a). 20.88/21.08 thf(decl_73, type, sup_su3048258781599657691od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 20.88/21.08 thf(decl_74, type, sup_su793286257634532545t_unit: set_Product_unit > set_Product_unit > set_Product_unit). 20.88/21.08 thf(decl_75, type, sup_sup_set_set_a: set_set_a > set_set_a > set_set_a). 20.88/21.08 thf(decl_76, type, sup_sup_set_a: set_a > set_a > set_a). 20.88/21.08 thf(decl_77, type, size_size_list_a: list_a > nat). 20.88/21.08 thf(decl_78, type, bot_bot_list_a_o: list_a > $o). 20.88/21.08 thf(decl_79, type, bot_bo4160289986317612842_a_a_o: product_prod_a_a > $o). 20.88/21.08 thf(decl_80, type, bot_bot_set_a_o: set_a > $o). 20.88/21.08 thf(decl_81, type, bot_bot_a_o: a > $o). 20.88/21.08 thf(decl_82, type, bot_bo4199563552545308370d_enat: extended_enat). 20.88/21.08 thf(decl_83, type, bot_bot_nat: nat). 20.88/21.08 thf(decl_84, type, bot_bo7653980558646680370d_enat: set_Extended_enat). 20.88/21.08 thf(decl_85, type, bot_bot_set_list_a: set_list_a). 20.88/21.08 thf(decl_86, type, bot_bot_set_nat: set_nat). 20.88/21.08 thf(decl_87, type, bot_bo3357376287454694259od_a_a: set_Product_prod_a_a). 20.88/21.08 thf(decl_88, type, bot_bo1652173792503247762d_enat: set_se7270636423289371942d_enat). 20.88/21.08 thf(decl_89, type, bot_bo3186585308812441520list_a: set_set_list_a). 20.88/21.08 thf(decl_90, type, bot_bo777872063958040403od_a_a: set_se5735800977113168103od_a_a). 20.88/21.08 thf(decl_91, type, bot_bo3380559777022489994_set_a: set_set_set_a). 20.88/21.08 thf(decl_92, type, bot_bot_set_set_a: set_set_a). 20.88/21.08 thf(decl_93, type, bot_bot_set_a: set_a). 20.88/21.08 thf(decl_94, type, ord_le72135733267957522d_enat: extended_enat > extended_enat > $o). 20.88/21.08 thf(decl_95, type, ord_less_nat: nat > nat > $o). 20.88/21.08 thf(decl_96, type, ord_less_real: real > real > $o). 20.88/21.08 thf(decl_97, type, ord_le2529575680413868914d_enat: set_Extended_enat > set_Extended_enat > $o). 20.88/21.08 thf(decl_98, type, ord_less_set_list_a: set_list_a > set_list_a > $o). 20.88/21.08 thf(decl_99, type, ord_le6819997720685908915od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 20.88/21.08 thf(decl_100, type, ord_less_set_set_a: set_set_a > set_set_a > $o). 20.88/21.08 thf(decl_101, type, ord_less_set_a: set_a > set_a > $o). 20.88/21.08 thf(decl_102, type, ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o). 20.88/21.08 thf(decl_103, type, ord_less_eq_nat: nat > nat > $o). 20.88/21.08 thf(decl_104, type, ord_less_eq_real: real > real > $o). 20.88/21.08 thf(decl_105, type, ord_le7203529160286727270d_enat: set_Extended_enat > set_Extended_enat > $o). 20.88/21.08 thf(decl_106, type, ord_le8861187494160871172list_a: set_list_a > set_list_a > $o). 20.88/21.08 thf(decl_107, type, ord_le746702958409616551od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o). 20.88/21.08 thf(decl_108, type, ord_le3724670747650509150_set_a: set_set_a > set_set_a > $o). 20.88/21.08 thf(decl_109, type, ord_less_eq_set_a: set_a > set_a > $o). 20.88/21.08 thf(decl_110, type, top_to3028658606643905974d_enat: extended_enat). 20.88/21.08 thf(decl_111, type, top_to8063371432257647191od_a_a: set_Product_prod_a_a). 20.88/21.08 thf(decl_112, type, top_to1996260823553986621t_unit: set_Product_unit). 20.88/21.08 thf(decl_113, type, top_top_set_set_a: set_set_a). 20.88/21.08 thf(decl_114, type, top_top_set_a: set_a). 20.88/21.08 thf(decl_115, type, collec4429806609662206161d_enat: (extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_116, type, collect_list_a: (list_a > $o) > set_list_a). 20.88/21.08 thf(decl_117, type, collec3336397797384452498od_a_a: (product_prod_a_a > $o) > set_Product_prod_a_a). 20.88/21.08 thf(decl_118, type, collect_set_a: (set_a > $o) > set_set_a). 20.88/21.08 thf(decl_119, type, collect_a: (a > $o) > set_a). 20.88/21.08 thf(decl_120, type, insert_Extended_enat: extended_enat > set_Extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_121, type, insert_list_a: list_a > set_list_a > set_list_a). 20.88/21.08 thf(decl_122, type, insert_nat: nat > set_nat > set_nat). 20.88/21.08 thf(decl_123, type, insert4534936382041156343od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a). 20.88/21.08 thf(decl_124, type, insert_set_list_a: set_list_a > set_set_list_a > set_set_list_a). 20.88/21.08 thf(decl_125, type, insert914553114930139863od_a_a: set_Product_prod_a_a > set_se5735800977113168103od_a_a > set_se5735800977113168103od_a_a). 20.88/21.08 thf(decl_126, type, insert_set_set_a: set_set_a > set_set_set_a > set_set_set_a). 20.88/21.08 thf(decl_127, type, insert_set_a: set_a > set_set_a > set_set_a). 20.88/21.08 thf(decl_128, type, insert_a: a > set_a > set_a). 20.88/21.08 thf(decl_129, type, undire2554140024507503526stem_a: set_a > set_set_a > $o). 20.88/21.08 thf(decl_130, type, undire4022703626023482010_adj_a: set_set_a > set_a > set_a > $o). 20.88/21.08 thf(decl_131, type, undire5576906917916948428d_enat: extended_enat > set_Extended_enat > $o). 20.88/21.08 thf(decl_132, type, undire8315108279983759850list_a: list_a > set_list_a > $o). 20.88/21.08 thf(decl_133, type, undire3369688177417741453od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 20.88/21.08 thf(decl_134, type, undire2320338297334612420_set_a: set_a > set_set_a > $o). 20.88/21.08 thf(decl_135, type, undire1521409233611534436dent_a: a > set_a > $o). 20.88/21.08 thf(decl_136, type, undire3352500475888117128d_enat: set_se7270636423289371942d_enat > extended_enat > set_se7270636423289371942d_enat). 20.88/21.08 thf(decl_137, type, undire8346653295303028134list_a: set_set_list_a > list_a > set_set_list_a). 20.88/21.08 thf(decl_138, type, undire8905369280470868553od_a_a: set_se5735800977113168103od_a_a > product_prod_a_a > set_se5735800977113168103od_a_a). 20.88/21.08 thf(decl_139, type, undire4631953023069350784_set_a: set_set_set_a > set_a > set_set_set_a). 20.88/21.08 thf(decl_140, type, undire3231912044278729248dges_a: set_set_a > a > set_set_a). 20.88/21.08 thf(decl_141, type, undire7777452895879145676dges_a: set_set_a > set_a > set_set_a). 20.88/21.08 thf(decl_142, type, undire761398192061991247list_a: set_list_a > set_set_list_a > set_list_a > set_set_list_a > $o). 20.88/21.08 thf(decl_143, type, undire398746457437328754od_a_a: set_Product_prod_a_a > set_se5735800977113168103od_a_a > set_Product_prod_a_a > set_se5735800977113168103od_a_a > $o). 20.88/21.08 thf(decl_144, type, undire1186139521737116585_set_a: set_set_a > set_set_set_a > set_set_a > set_set_set_a > $o). 20.88/21.08 thf(decl_145, type, undire7103218114511261257raph_a: set_a > set_set_a > set_a > set_set_a > $o). 20.88/21.08 thf(decl_146, type, undire714208349854953236d_enat: set_Extended_enat > set_se7270636423289371942d_enat > $o). 20.88/21.08 thf(decl_147, type, undire4488935924012268850list_a: set_list_a > set_set_list_a > $o). 20.88/21.08 thf(decl_148, type, undire4585262585102564309od_a_a: set_Product_prod_a_a > set_se5735800977113168103od_a_a > $o). 20.88/21.08 thf(decl_149, type, undire6886684016831807756_set_a: set_set_a > set_set_set_a > $o). 20.88/21.08 thf(decl_150, type, undire7251896706689453996raph_a: set_a > set_set_a > $o). 20.88/21.08 thf(decl_151, type, undire8383842906760478443ween_a: set_set_a > set_a > set_a > set_Product_prod_a_a). 20.88/21.08 thf(decl_152, type, undire5441641343887376088d_enat: set_se7270636423289371942d_enat > extended_enat > nat). 20.88/21.08 thf(decl_153, type, undire5473560945307807478list_a: set_set_list_a > list_a > nat). 20.88/21.08 thf(decl_154, type, undire1436394852029823897od_a_a: set_se5735800977113168103od_a_a > product_prod_a_a > nat). 20.88/21.08 thf(decl_155, type, undire8939077443744732368_set_a: set_set_set_a > set_a > nat). 20.88/21.08 thf(decl_156, type, undire8867928226783802224gree_a: set_set_a > a > nat). 20.88/21.08 thf(decl_157, type, undire297304480579013331sity_a: set_set_a > set_a > set_a > real). 20.88/21.08 thf(decl_158, type, undire6433073401897909928d_enat: set_se7270636423289371942d_enat > extended_enat > $o). 20.88/21.08 thf(decl_159, type, undire1289583226138121926list_a: set_set_list_a > list_a > $o). 20.88/21.08 thf(decl_160, type, undire7777398424729533289od_a_a: set_se5735800977113168103od_a_a > product_prod_a_a > $o). 20.88/21.08 thf(decl_161, type, undire5774735625301615776_set_a: set_set_set_a > set_a > $o). 20.88/21.08 thf(decl_162, type, undire3617971648856834880loop_a: set_set_a > a > $o). 20.88/21.08 thf(decl_163, type, undire464704656227735271list_a: set_set_list_a > list_a > set_set_list_a). 20.88/21.08 thf(decl_164, type, undire3049230956220217098od_a_a: set_se5735800977113168103od_a_a > product_prod_a_a > set_se5735800977113168103od_a_a). 20.88/21.08 thf(decl_165, type, undire7215034953758041409_set_a: set_set_set_a > set_a > set_set_set_a). 20.88/21.08 thf(decl_166, type, undire4753905205749729249oops_a: set_set_a > a > set_set_a). 20.88/21.08 thf(decl_167, type, undire5426921426585063247d_enat: set_se7270636423289371942d_enat > extended_enat > set_se7270636423289371942d_enat). 20.88/21.08 thf(decl_168, type, undire3319505192580614893list_a: set_set_list_a > list_a > set_set_list_a). 20.88/21.08 thf(decl_169, type, undire5844230293943614535_set_a: set_set_set_a > set_a > set_set_set_a). 20.88/21.08 thf(decl_170, type, undire1270416042309875431dges_a: set_set_a > a > set_set_a). 20.88/21.08 thf(decl_171, type, undire6780744505695345669d_enat: set_Extended_enat > set_Extended_enat > set_Extended_enat > $o). 20.88/21.08 thf(decl_172, type, undire906663149067932323list_a: set_list_a > set_list_a > set_list_a > $o). 20.88/21.08 thf(decl_173, type, undire7011261089604658374od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a > $o). 20.88/21.08 thf(decl_174, type, undire2578756059399487229_set_a: set_set_a > set_set_a > set_set_a > $o). 20.88/21.08 thf(decl_175, type, undire8544646567961481629ween_a: set_a > set_a > set_a > $o). 20.88/21.08 thf(decl_176, type, undire2766637844931365757d_enat: set_Extended_enat > set_se7270636423289371942d_enat > extended_enat > $o). 20.88/21.08 thf(decl_177, type, undire4545123391223496219list_a: set_list_a > set_set_list_a > list_a > $o). 20.88/21.08 thf(decl_178, type, undire3207556238582723646od_a_a: set_Product_prod_a_a > set_se5735800977113168103od_a_a > product_prod_a_a > $o). 20.88/21.08 thf(decl_179, type, undire6879241558604981877_set_a: set_set_a > set_set_set_a > set_a > $o). 20.88/21.08 thf(decl_180, type, undire8931668460104145173rtex_a: set_a > set_set_a > a > $o). 20.88/21.08 thf(decl_181, type, undire2905028936066782638loop_a: set_a > $o). 20.88/21.08 thf(decl_182, type, undire4917966558017083288edge_a: set_a > $o). 20.88/21.08 thf(decl_183, type, undire3018107155568487990d_enat: set_Extended_enat > set_se7270636423289371942d_enat > extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_184, type, undire914605678234447188list_a: set_list_a > set_set_list_a > list_a > set_list_a). 20.88/21.08 thf(decl_185, type, undire7963753511165915895od_a_a: set_Product_prod_a_a > set_se5735800977113168103od_a_a > product_prod_a_a > set_Product_prod_a_a). 20.88/21.08 thf(decl_186, type, undire2074812191327625774_set_a: set_set_a > set_set_set_a > set_a > set_set_a). 20.88/21.08 thf(decl_187, type, undire8504279938402040014hood_a: set_a > set_set_a > a > set_a). 20.88/21.08 thf(decl_188, type, undire4085414430171960176d_enat: set_se7270636423289371942d_enat > extended_enat > extended_enat > $o). 20.88/21.08 thf(decl_189, type, undire529730952709525390list_a: set_set_list_a > list_a > list_a > $o). 20.88/21.08 thf(decl_190, type, undire6135774327024169009od_a_a: set_se5735800977113168103od_a_a > product_prod_a_a > product_prod_a_a > $o). 20.88/21.08 thf(decl_191, type, undire3510646817838285160_set_a: set_set_set_a > set_a > set_a > $o). 20.88/21.08 thf(decl_192, type, undire397441198561214472_adj_a: set_set_a > a > a > $o). 20.88/21.08 thf(decl_193, type, undire2685670433559799090cles_a: set_a > set_set_a > set_list_a). 20.88/21.08 thf(decl_194, type, undire6235733737954427521aths_a: set_a > set_set_a > set_list_a). 20.88/21.08 thf(decl_195, type, undire2407311113669455967ycle_a: set_a > set_set_a > list_a > $o). 20.88/21.08 thf(decl_196, type, undire3562951555376170320path_a: set_a > set_set_a > list_a > $o). 20.88/21.08 thf(decl_197, type, undire427332500224447920path_a: set_a > set_set_a > list_a > $o). 20.88/21.08 thf(decl_198, type, undire1387732426225024653aths_a: set_a > set_set_a > set_list_a). 20.88/21.08 thf(decl_199, type, undire8849074589633906640ngth_a: list_a > nat). 20.88/21.08 thf(decl_200, type, undire3736599831911450577alks_a: set_a > set_set_a > set_list_a). 20.88/21.08 thf(decl_201, type, member_Extended_enat: extended_enat > set_Extended_enat > $o). 20.88/21.08 thf(decl_202, type, member_list_a: list_a > set_list_a > $o). 20.88/21.08 thf(decl_203, type, member_nat: nat > set_nat > $o). 20.88/21.08 thf(decl_204, type, member1426531477525435216od_a_a: product_prod_a_a > set_Product_prod_a_a > $o). 20.88/21.08 thf(decl_205, type, member350739656593644271d_enat: set_Extended_enat > set_se7270636423289371942d_enat > $o). 20.88/21.08 thf(decl_206, type, member_set_list_a: set_list_a > set_set_list_a > $o). 20.88/21.08 thf(decl_207, type, member1816616512716248880od_a_a: set_Product_prod_a_a > set_se5735800977113168103od_a_a > $o). 20.88/21.08 thf(decl_208, type, member_set_set_a: set_set_a > set_set_set_a > $o). 20.88/21.08 thf(decl_209, type, member_set_a: set_a > set_set_a > $o). 20.88/21.08 thf(decl_210, type, member_a: a > set_a > $o). 20.88/21.08 thf(decl_211, type, edges: set_set_a). 20.88/21.08 thf(decl_212, type, p1: list_a). 20.88/21.08 thf(decl_213, type, p2: list_a). 20.88/21.08 thf(decl_214, type, p3: list_a). 20.88/21.08 thf(decl_215, type, vertices: set_a). 20.88/21.08 thf(decl_216, type, x: a). 20.88/21.08 thf(decl_217, type, y: a). 20.88/21.08 thf(decl_218, type, z: a). 20.88/21.08 thf(decl_219, type, esk1_2: extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_220, type, esk2_1: (extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_221, type, esk3_1: extended_enat > nat). 20.88/21.08 thf(decl_222, type, esk4_2: extended_enat > nat > nat). 20.88/21.08 thf(decl_223, type, esk5_2: set_Extended_enat > (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_224, type, esk6_2: set_Extended_enat > (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_225, type, esk7_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_226, type, esk8_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_227, type, esk9_2: set_Extended_enat > (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_228, type, esk10_2: set_Extended_enat > (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_229, type, esk11_1: extended_enat > nat). 20.88/21.08 thf(decl_230, type, esk12_0: list_a). 20.88/21.08 thf(decl_231, type, esk13_0: list_a). 20.88/21.08 thf(decl_232, type, esk14_2: a > a > list_a). 20.88/21.08 thf(decl_233, type, esk15_4: set_a > set_set_a > a > a > list_a). 20.88/21.08 thf(decl_234, type, esk16_3: nat > a > a > list_a). 20.88/21.08 thf(decl_235, type, esk17_3: a > a > nat > list_a). 20.88/21.08 thf(decl_236, type, esk18_5: set_a > set_set_a > a > a > nat > list_a). 20.88/21.08 thf(decl_237, type, esk19_5: set_a > set_set_a > nat > a > a > list_a). 20.88/21.08 thf(decl_238, type, esk20_0: list_a). 20.88/21.08 thf(decl_239, type, esk21_3: extended_enat > extended_enat > nat > nat). 20.88/21.08 thf(decl_240, type, esk22_3: extended_enat > extended_enat > nat > nat). 20.88/21.08 thf(decl_241, type, esk23_1: extended_enat > nat). 20.88/21.08 thf(decl_242, type, esk24_2: set_Extended_enat > nat > extended_enat). 20.88/21.08 thf(decl_243, type, esk25_1: extended_enat > nat). 20.88/21.08 thf(decl_244, type, esk26_1: extended_enat > nat). 20.88/21.08 thf(decl_245, type, esk27_1: extended_enat > nat). 20.88/21.08 thf(decl_246, type, esk28_2: extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_247, type, esk29_2: extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_248, type, esk30_2: extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_249, type, esk31_2: extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_250, type, esk32_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_251, type, esk33_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_252, type, esk34_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_253, type, esk35_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_254, type, esk36_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_255, type, esk37_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_256, type, esk38_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_257, type, esk39_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_258, type, esk40_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_259, type, esk41_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_260, type, esk42_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_261, type, esk43_3: extended_enat > extended_enat > extended_enat > nat). 20.88/21.08 thf(decl_262, type, esk44_3: list_a > a > a > list_a). 20.88/21.08 thf(decl_263, type, esk45_5: set_a > set_set_a > list_a > a > a > list_a). 20.88/21.08 thf(decl_264, type, esk46_5: a > a > list_a > a > list_a > list_a). 20.88/21.08 thf(decl_265, type, esk47_7: set_a > set_set_a > a > a > list_a > a > list_a > list_a). 20.88/21.08 thf(decl_266, type, esk48_2: extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_267, type, esk49_2: set_Extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_268, type, esk50_2: set_Extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_269, type, esk51_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_270, type, esk52_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_271, type, esk53_2: nat > nat > nat). 20.88/21.08 thf(decl_272, type, esk54_1: (nat > $o) > nat). 20.88/21.08 thf(decl_273, type, esk55_1: (nat > $o) > nat). 20.88/21.08 thf(decl_274, type, esk56_1: (nat > $o) > nat). 20.88/21.08 thf(decl_275, type, esk57_1: (nat > nat) > nat). 20.88/21.08 thf(decl_276, type, esk58_1: (nat > nat) > nat). 20.88/21.08 thf(decl_277, type, esk59_2: (nat > $o) > nat > nat). 20.88/21.08 thf(decl_278, type, esk60_2: nat > nat > nat). 20.88/21.08 thf(decl_279, type, esk61_1: (nat > nat) > nat). 20.88/21.08 thf(decl_280, type, esk62_1: (nat > nat) > nat). 20.88/21.08 thf(decl_281, type, esk63_2: extended_enat > set_Extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_282, type, esk64_4: extended_enat > set_Extended_enat > extended_enat > set_Extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_283, type, esk65_2: extended_enat > set_Extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_284, type, esk66_3: set_Extended_enat > set_Extended_enat > (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_285, type, esk67_3: set_Extended_enat > set_Extended_enat > (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_286, type, esk68_3: set_Extended_enat > set_Extended_enat > (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_287, type, esk69_3: set_Extended_enat > set_Extended_enat > (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_288, type, esk70_1: set_Extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_289, type, esk71_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_290, type, esk72_2: set_Extended_enat > (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_291, type, esk73_2: set_Extended_enat > (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_292, type, esk74_2: set_Extended_enat > (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_293, type, esk75_2: set_Extended_enat > (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_294, type, esk76_2: set_Extended_enat > (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_295, type, esk77_1: (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_296, type, esk78_1: (set_Extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_297, type, esk79_1: (set_Extended_enat > $o) > set_Extended_enat). 20.88/21.08 thf(decl_298, type, esk80_3: set_Extended_enat > (set_Extended_enat > $o) > (extended_enat > nat) > extended_enat). 20.88/21.08 thf(decl_299, type, esk81_3: set_Extended_enat > (set_Extended_enat > $o) > (extended_enat > nat) > set_Extended_enat). 20.88/21.08 thf(decl_300, type, esk82_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_301, type, esk83_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_302, type, esk84_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_303, type, esk85_2: a > a > list_a). 20.88/21.08 thf(decl_304, type, esk86_3: a > a > nat > list_a). 20.88/21.08 thf(decl_305, type, esk87_4: set_a > set_set_a > a > a > list_a). 20.88/21.08 thf(decl_306, type, esk88_5: set_a > set_set_a > a > a > nat > list_a). 20.88/21.08 thf(decl_307, type, esk89_3: a > a > list_a > list_a). 20.88/21.08 thf(decl_308, type, esk90_5: set_a > set_set_a > a > a > list_a > list_a). 20.88/21.08 thf(decl_309, type, esk91_1: set_a > a). 20.88/21.08 thf(decl_310, type, esk92_2: set_a > set_a > a). 20.88/21.08 thf(decl_311, type, esk93_1: set_a > a). 20.88/21.08 thf(decl_312, type, esk94_1: set_a > a). 20.88/21.08 thf(decl_313, type, esk95_2: a > set_a > set_a). 20.88/21.08 thf(decl_314, type, esk96_4: a > set_a > a > set_a > set_a). 20.88/21.08 thf(decl_315, type, esk97_2: a > set_a > set_a). 20.88/21.08 thf(decl_316, type, esk98_3: set_a > set_a > (a > $o) > a). 20.88/21.08 thf(decl_317, type, esk99_3: set_a > set_a > (a > $o) > a). 20.88/21.08 thf(decl_318, type, esk100_3: set_a > set_a > (a > $o) > a). 20.88/21.08 thf(decl_319, type, esk101_3: set_a > set_a > (a > $o) > a). 20.88/21.08 thf(decl_320, type, esk102_3: set_a > set_a > (a > $o) > a). 20.88/21.08 thf(decl_321, type, esk103_3: set_a > set_a > (a > $o) > a). 20.88/21.08 thf(decl_322, type, esk104_1: set_list_a > list_a). 20.88/21.08 thf(decl_323, type, esk105_2: set_list_a > set_list_a > list_a). 20.88/21.08 thf(decl_324, type, esk106_1: set_list_a > list_a). 20.88/21.08 thf(decl_325, type, esk107_1: set_list_a > list_a). 20.88/21.08 thf(decl_326, type, esk108_2: list_a > set_list_a > set_list_a). 20.88/21.08 thf(decl_327, type, esk109_4: list_a > set_list_a > list_a > set_list_a > set_list_a). 20.88/21.08 thf(decl_328, type, esk110_2: list_a > set_list_a > set_list_a). 20.88/21.08 thf(decl_329, type, esk111_2: set_a > a > a). 20.88/21.08 thf(decl_330, type, esk112_1: set_a > a). 20.88/21.08 thf(decl_331, type, esk113_1: set_a > a). 20.88/21.08 thf(decl_332, type, esk114_3: set_a > set_set_a > set_a > a). 20.88/21.08 thf(decl_333, type, esk115_3: set_a > set_set_a > set_a > a). 20.88/21.08 thf(decl_334, type, esk116_4: set_a > set_set_a > set_a > a > a). 20.88/21.08 thf(decl_335, type, esk117_2: nat > nat > nat). 20.88/21.08 thf(decl_336, type, esk118_2: (nat > $o) > nat > nat). 20.88/21.08 thf(decl_337, type, esk119_1: (nat > $o) > nat). 20.88/21.08 thf(decl_338, type, esk120_2: nat > nat > nat). 20.88/21.08 thf(decl_339, type, esk121_2: set_set_a > set_a > set_a). 20.88/21.08 thf(decl_340, type, esk122_2: set_set_a > set_a > set_a). 20.88/21.08 thf(decl_341, type, esk123_1: set_set_a > set_a). 20.88/21.08 thf(decl_342, type, esk124_1: set_set_a > set_a). 20.88/21.08 thf(decl_343, type, esk125_3: set_a > set_a > set_a > set_a). 20.88/21.08 thf(decl_344, type, esk126_3: set_a > set_a > set_a > set_a). 20.88/21.08 thf(decl_345, type, esk127_1: (set_a > set_a > set_a) > set_a). 20.88/21.08 thf(decl_346, type, esk128_1: (set_a > set_a > set_a) > set_a). 20.88/21.08 thf(decl_347, type, esk129_1: (set_a > set_a > set_a) > set_a). 20.88/21.08 thf(decl_348, type, esk130_1: (set_a > set_a > set_a) > set_a). 20.88/21.08 thf(decl_349, type, esk131_1: (set_a > set_a > set_a) > set_a). 20.88/21.08 thf(decl_350, type, esk132_1: (set_a > set_a > set_a) > set_a). 20.88/21.08 thf(decl_351, type, esk133_1: (set_a > set_a > set_a) > set_a). 20.88/21.08 thf(decl_352, type, esk134_1: set_set_a > set_a). 20.88/21.08 thf(decl_353, type, esk135_2: set_set_a > set_set_a > set_a). 20.88/21.08 thf(decl_354, type, esk136_1: set_set_a > set_a). 20.88/21.08 thf(decl_355, type, esk137_1: set_set_a > set_a). 20.88/21.08 thf(decl_356, type, esk138_2: set_a > set_set_a > set_set_a). 20.88/21.08 thf(decl_357, type, esk139_4: set_a > set_set_a > set_a > set_set_a > set_set_a). 20.88/21.08 thf(decl_358, type, esk140_2: set_a > set_set_a > set_set_a). 20.88/21.08 thf(decl_359, type, esk141_3: set_set_a > set_set_a > (set_set_a > $o) > set_a). 20.88/21.08 thf(decl_360, type, esk142_3: set_set_a > set_set_a > (set_set_a > $o) > set_set_a). 20.88/21.08 thf(decl_361, type, esk143_3: set_set_a > set_set_a > (set_set_a > $o) > set_a). 20.88/21.08 thf(decl_362, type, esk144_3: set_set_a > set_set_a > (set_set_a > $o) > set_set_a). 20.88/21.08 thf(decl_363, type, esk145_2: set_set_a > (set_set_a > $o) > set_a). 20.88/21.08 thf(decl_364, type, esk146_2: set_set_a > (set_set_a > $o) > set_set_a). 20.88/21.08 thf(decl_365, type, esk147_2: set_set_a > (set_set_a > $o) > set_a). 20.88/21.08 thf(decl_366, type, esk148_2: set_set_a > (set_set_a > $o) > set_a). 20.88/21.08 thf(decl_367, type, esk149_2: set_set_a > (set_set_a > $o) > set_set_a). 20.88/21.08 thf(decl_368, type, esk150_1: (set_set_a > $o) > set_set_a). 20.88/21.08 thf(decl_369, type, esk151_1: (set_set_a > $o) > set_a). 20.88/21.08 thf(decl_370, type, esk152_1: (set_set_a > $o) > set_set_a). 20.88/21.08 thf(decl_371, type, esk153_3: set_set_a > (set_set_a > $o) > (set_a > nat) > set_a). 20.88/21.08 thf(decl_372, type, esk154_3: set_set_a > (set_set_a > $o) > (set_a > nat) > set_set_a). 20.88/21.08 thf(decl_373, type, esk155_3: set_set_a > set_set_a > (set_a > $o) > set_a). 20.88/21.08 thf(decl_374, type, esk156_3: set_set_a > set_set_a > (set_a > $o) > set_a). 20.88/21.08 thf(decl_375, type, esk157_3: set_set_a > set_set_a > (set_a > $o) > set_a). 20.88/21.08 thf(decl_376, type, esk158_3: set_set_a > set_set_a > (set_a > $o) > set_a). 20.88/21.08 thf(decl_377, type, esk159_3: set_set_a > set_set_a > (set_a > $o) > set_a). 20.88/21.08 thf(decl_378, type, esk160_3: set_set_a > set_set_a > (set_a > $o) > set_a). 20.88/21.08 thf(decl_379, type, esk161_2: set_Extended_enat > set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_380, type, esk162_3: set_list_a > set_list_a > (set_list_a > $o) > list_a). 20.88/21.08 thf(decl_381, type, esk163_3: set_list_a > set_list_a > (set_list_a > $o) > set_list_a). 20.88/21.08 thf(decl_382, type, esk164_3: set_list_a > set_list_a > (set_list_a > $o) > list_a). 20.88/21.08 thf(decl_383, type, esk165_3: set_list_a > set_list_a > (set_list_a > $o) > set_list_a). 20.88/21.08 thf(decl_384, type, esk166_1: set_list_a > set_list_a). 20.88/21.08 thf(decl_385, type, esk167_1: set_list_a > list_a). 20.88/21.08 thf(decl_386, type, esk168_2: set_list_a > (set_list_a > $o) > list_a). 20.88/21.08 thf(decl_387, type, esk169_2: set_list_a > (set_list_a > $o) > set_list_a). 20.88/21.08 thf(decl_388, type, esk170_2: set_list_a > (set_list_a > $o) > list_a). 20.88/21.08 thf(decl_389, type, esk171_2: set_list_a > (set_list_a > $o) > list_a). 20.88/21.08 thf(decl_390, type, esk172_2: set_list_a > (set_list_a > $o) > set_list_a). 20.88/21.08 thf(decl_391, type, esk173_1: (set_list_a > $o) > set_list_a). 20.88/21.08 thf(decl_392, type, esk174_1: (set_list_a > $o) > list_a). 20.88/21.08 thf(decl_393, type, esk175_1: (set_list_a > $o) > set_list_a). 20.88/21.08 thf(decl_394, type, esk176_3: set_list_a > (set_list_a > $o) > (list_a > nat) > list_a). 20.88/21.08 thf(decl_395, type, esk177_3: set_list_a > (set_list_a > $o) > (list_a > nat) > set_list_a). 20.88/21.08 thf(decl_396, type, esk178_3: set_list_a > set_list_a > set_list_a > set_list_a). 20.88/21.08 thf(decl_397, type, esk179_3: set_list_a > set_list_a > set_list_a > set_list_a). 20.88/21.08 thf(decl_398, type, esk180_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 20.88/21.08 thf(decl_399, type, esk181_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 20.88/21.08 thf(decl_400, type, esk182_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 20.88/21.08 thf(decl_401, type, esk183_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 20.88/21.08 thf(decl_402, type, esk184_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 20.88/21.08 thf(decl_403, type, esk185_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 20.88/21.08 thf(decl_404, type, esk186_1: (set_list_a > set_list_a > set_list_a) > set_list_a). 20.88/21.08 thf(decl_405, type, esk187_2: a > a > set_a). 20.88/21.08 thf(decl_406, type, esk188_1: a > a). 20.88/21.08 thf(decl_407, type, esk189_4: set_a > set_set_a > a > a > set_a). 20.88/21.08 thf(decl_408, type, esk190_3: set_a > set_set_a > a > a). 20.88/21.08 thf(decl_409, type, esk191_1: set_set_a > set_a). 20.88/21.08 thf(decl_410, type, esk192_1: set_set_a > set_set_a). 20.88/21.08 thf(decl_411, type, esk193_1: set_set_a > set_a). 20.88/21.08 thf(decl_412, type, esk194_3: set_set_a > set_set_a > set_set_a > set_set_a). 20.88/21.08 thf(decl_413, type, esk195_3: set_set_a > set_set_a > set_set_a > set_set_a). 20.88/21.08 thf(decl_414, type, esk196_1: (set_set_a > set_set_a > set_set_a) > set_set_a). 20.88/21.08 thf(decl_415, type, esk197_1: (set_set_a > set_set_a > set_set_a) > set_set_a). 20.88/21.08 thf(decl_416, type, esk198_1: (set_set_a > set_set_a > set_set_a) > set_set_a). 20.88/21.08 thf(decl_417, type, esk199_1: (set_set_a > set_set_a > set_set_a) > set_set_a). 20.88/21.08 thf(decl_418, type, esk200_1: (set_set_a > set_set_a > set_set_a) > set_set_a). 20.88/21.08 thf(decl_419, type, esk201_1: (set_set_a > set_set_a > set_set_a) > set_set_a). 20.88/21.08 thf(decl_420, type, esk202_1: (set_set_a > set_set_a > set_set_a) > set_set_a). 20.88/21.08 thf(decl_421, type, esk203_2: extended_enat > extended_enat > extended_enat). 20.88/21.08 thf(decl_422, type, esk204_2: nat > nat > nat). 20.88/21.08 thf(decl_423, type, esk205_1: (extended_enat > $o) > extended_enat). 20.88/21.08 thf(decl_424, type, esk206_1: (extended_enat > $o) > nat). 20.88/21.08 thf(decl_425, type, esk207_2: set_Extended_enat > set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_426, type, esk208_2: set_list_a > set_list_a > list_a). 20.88/21.08 thf(decl_427, type, esk209_2: set_set_a > set_set_a > set_a). 20.88/21.08 thf(decl_428, type, esk210_2: set_a > set_a > a). 20.88/21.08 thf(decl_429, type, esk211_1: set_Extended_enat > set_Extended_enat). 20.88/21.08 thf(decl_430, type, esk212_1: set_Extended_enat > extended_enat). 20.88/21.08 thf(decl_431, type, esk213_1: set_list_a > set_list_a). 20.88/21.08 thf(decl_432, type, esk214_1: set_list_a > list_a). 20.88/21.08 thf(decl_433, type, esk215_1: set_set_a > set_set_a). 20.88/21.08 thf(decl_434, type, esk216_1: set_set_a > set_a). 20.88/21.08 thf(fact_281_enat_Oinject, axiom, ![X476:nat, X477:nat]:((((extended_enat2 @ X476)=(extended_enat2 @ X477))<=>((X476)=(X477)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_281_enat_Oinject)). 20.88/21.08 thf(fact_975_enat_Oexhaust, axiom, ![X139:extended_enat]:((![X1890:nat]:(((X139)!=(extended_enat2 @ X1890)))=>((X139)=(extend5688581933313929465d_enat)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_975_enat_Oexhaust)). 20.88/21.08 thf(fact_973_enat_Odistinct_I2_J, axiom, ![X476:nat]:(((extend5688581933313929465d_enat)!=(extended_enat2 @ X476))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_973_enat_Odistinct_I2_J)). 20.88/21.08 thf(fact_1036_less__infinityE, axiom, ![X2026:extended_enat]:(((ord_le72135733267957522d_enat @ X2026 @ extend5688581933313929465d_enat)=>~(![X507:nat]:(((X2026)!=(extended_enat2 @ X507)))))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_1036_less__infinityE)). 20.88/21.08 thf(fact_1039_enat__add__left__cancel__less, axiom, ![X2031:extended_enat, X2032:extended_enat, X2033:extended_enat]:(((ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ X2031 @ X2032) @ (plus_p3455044024723400733d_enat @ X2031 @ X2033))<=>(((X2031)!=(extend5688581933313929465d_enat))&(ord_le72135733267957522d_enat @ X2032 @ X2033)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_1039_enat__add__left__cancel__less)). 20.88/21.08 thf(fact_931_plus__enat__simps_I3_J, axiom, ![X1805:extended_enat]:(((plus_p3455044024723400733d_enat @ X1805 @ extend5688581933313929465d_enat)=(extend5688581933313929465d_enat))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_931_plus__enat__simps_I3_J)). 20.88/21.08 thf(fact_274_plus__enat__simps_I1_J, axiom, ![X473:nat, X6:nat]:(((plus_p3455044024723400733d_enat @ (extended_enat2 @ X473) @ (extended_enat2 @ X6))=(extended_enat2 @ (plus_plus_nat @ X473 @ X6)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_274_plus__enat__simps_I1_J)). 20.88/21.08 thf(fact_299_enat__iless, axiom, ![X508:extended_enat, X509:nat]:(((ord_le72135733267957522d_enat @ X508 @ (extended_enat2 @ X509))=>?[X507:nat]:(((X508)=(extended_enat2 @ X507))))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_299_enat__iless)). 20.88/21.08 thf(fact_929_enat__ord__simps_I4_J, axiom, ![X1805:extended_enat]:(((ord_le72135733267957522d_enat @ X1805 @ extend5688581933313929465d_enat)<=>((X1805)!=(extend5688581933313929465d_enat)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_929_enat__ord__simps_I4_J)). 20.88/21.08 thf(fact_275_enat__ord__simps_I2_J, axiom, ![X474:nat, X6:nat]:(((ord_le72135733267957522d_enat @ (extended_enat2 @ X474) @ (extended_enat2 @ X6))<=>(ord_less_nat @ X474 @ X6))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_275_enat__ord__simps_I2_J)). 20.88/21.08 thf(fact_145_add_Ocommute, axiom, ((plus_p3455044024723400733d_enat)=(^[X192:extended_enat, X193:extended_enat]:(plus_p3455044024723400733d_enat @ X193 @ X192))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_145_add_Ocommute)). 20.88/21.08 thf(fact_440_one__enat__def, axiom, ((one_on7984719198319812577d_enat)=(extended_enat2 @ one_one_nat)), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_440_one__enat__def)). 20.88/21.08 thf(fact_1037_enat__ord__code_I4_J, axiom, ![X2027:nat]:((ord_le72135733267957522d_enat @ (extended_enat2 @ X2027) @ extend5688581933313929465d_enat)), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_1037_enat__ord__code_I4_J)). 20.88/21.08 thf(fact_1066_less__add__one, axiom, ![X2048:nat]:((ord_less_nat @ X2048 @ (plus_plus_nat @ X2048 @ one_one_nat))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_1066_less__add__one)). 20.88/21.08 thf(fact_298_enat__ile, axiom, ![X505:extended_enat, X506:nat]:(((ord_le2932123472753598470d_enat @ X505 @ (extended_enat2 @ X506))=>?[X507:nat]:(((X505)=(extended_enat2 @ X507))))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_298_enat__ile)). 20.88/21.08 thf(fact_283_enat__ord__simps_I1_J, axiom, ![X479:nat, X6:nat]:(((ord_le2932123472753598470d_enat @ (extended_enat2 @ X479) @ (extended_enat2 @ X6))<=>(ord_less_eq_nat @ X479 @ X6))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_283_enat__ord__simps_I1_J)). 20.88/21.08 thf(conj_0, conjecture, (ord_le72135733267957522d_enat @ (extended_enat2 @ (undire8849074589633906640ngth_a @ p3)) @ (shortest_path_a @ vertices @ edges @ x @ y)), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', conj_0)). 20.88/21.08 thf(fact_188_add__left__mono, axiom, ![X301:extended_enat, X302:extended_enat, X303:extended_enat]:(((ord_le2932123472753598470d_enat @ X301 @ X302)=>(ord_le2932123472753598470d_enat @ (plus_p3455044024723400733d_enat @ X303 @ X301) @ (plus_p3455044024723400733d_enat @ X303 @ X302)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_188_add__left__mono)). 20.88/21.08 thf(fact_118_add_Oright__neutral, axiom, ![X157:extended_enat]:(((plus_p3455044024723400733d_enat @ X157 @ zero_z5237406670263579293d_enat)=(X157))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_118_add_Oright__neutral)). 20.88/21.08 thf(fact_170_zero__le, axiom, ![X138:extended_enat]:((ord_le2932123472753598470d_enat @ zero_z5237406670263579293d_enat @ X138)), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_170_zero__le)). 20.88/21.08 thf(fact_1263_le__cube, axiom, ![X2429:nat]:((ord_less_eq_nat @ X2429 @ (times_times_nat @ X2429 @ (times_times_nat @ X2429 @ X2429)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_1263_le__cube)). 20.88/21.08 thf(fact_174_not__less__zero, axiom, ![X277:extended_enat]:(~((ord_le72135733267957522d_enat @ X277 @ zero_z5237406670263579293d_enat))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_174_not__less__zero)). 20.88/21.08 thf(fact_925_not__infinity__eq, axiom, ![X138:extended_enat]:((((X138)!=(extend5688581933313929465d_enat))<=>?[X1803:nat]:(((X138)=(extended_enat2 @ X1803))))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_925_not__infinity__eq)). 20.88/21.08 thf(fact_1057_zero__less__one, axiom, (ord_le72135733267957522d_enat @ zero_z5237406670263579293d_enat @ one_on7984719198319812577d_enat), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_1057_zero__less__one)). 20.88/21.08 thf(fact_187_less__eqE, axiom, ![X298:nat, X299:nat]:(((ord_less_eq_nat @ X298 @ X299)=>~(![X300:nat]:(((X299)!=(plus_plus_nat @ X298 @ X300)))))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_187_less__eqE)). 20.88/21.08 thf(fact_37_shortest__path__obtains2, axiom, ![X1:a, X2:a]:(((vert_connected_a @ vertices @ edges @ X1 @ X2)=>~(![X20:list_a]:(((member_list_a @ X20 @ (connecting_paths_a @ vertices @ edges @ X1 @ X2))=>((extended_enat2 @ (undire8849074589633906640ngth_a @ X20))!=(shortest_path_a @ vertices @ edges @ X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_37_shortest__path__obtains2)). 20.88/21.08 thf(fact_11_True, axiom, ((vert_connected_a @ vertices @ edges @ x @ y)&(vert_connected_a @ vertices @ edges @ x @ z)), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_11_True)). 20.88/21.08 thf(fact_340_le__trans, axiom, ![X546:nat, X547:nat, X548:nat]:(((ord_less_eq_nat @ X546 @ X547)=>((ord_less_eq_nat @ X547 @ X548)=>(ord_less_eq_nat @ X546 @ X548)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_340_le__trans)). 20.88/21.08 thf(fact_1_c, axiom, (ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ (shortest_path_a @ vertices @ edges @ x @ z) @ (shortest_path_a @ vertices @ edges @ z @ y)) @ (shortest_path_a @ vertices @ edges @ x @ y)), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_1_c)). 20.88/21.08 thf(fact_4_s1, axiom, ((shortest_path_a @ vertices @ edges @ x @ z)=(extended_enat2 @ (undire8849074589633906640ngth_a @ p1))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_4_s1)). 20.88/21.08 thf(fact_5_s2, axiom, ((shortest_path_a @ vertices @ edges @ z @ y)=(extended_enat2 @ (undire8849074589633906640ngth_a @ p2))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_5_s2)). 20.88/21.08 thf(fact_135__092_060open_062walk__length_Ap3_A_092_060le_062_Awalk__length_Ap1_A_L_Awalk__length_Ap2_092_060close_062, axiom, (ord_less_eq_nat @ (undire8849074589633906640ngth_a @ p3) @ (plus_plus_nat @ (undire8849074589633906640ngth_a @ p1) @ (undire8849074589633906640ngth_a @ p2))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_135__092_060open_062walk__length_Ap3_A_092_060le_062_Awalk__length_Ap1_A_L_Awalk__length_Ap2_092_060close_062)). 20.88/21.08 thf(fact_343_nat__le__linear, axiom, ![X551:nat, X6:nat]:(((ord_less_eq_nat @ X551 @ X6)|(ord_less_eq_nat @ X6 @ X551))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_343_nat__le__linear)). 20.88/21.08 thf(fact_363_le__neq__implies__less, axiom, ![X583:nat, X6:nat]:(((ord_less_eq_nat @ X583 @ X6)=>(((X583)!=(X6))=>(ord_less_nat @ X583 @ X6)))), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_363_le__neq__implies__less)). 20.88/21.08 thf(fact_339_le__refl, axiom, ![X6:nat]:((ord_less_eq_nat @ X6 @ X6)), file('/export/starexec/sandbox2/tmp/tmp.VFC3YoUoeA/Vampire---4.8_31712', fact_339_le__refl)). 20.88/21.08 thf(c_0_35, plain, ![X4522:nat, X4523:nat]:(((((extended_enat2 @ X4522)!=(extended_enat2 @ X4523))|((X4522)=(X4523)))&(((X4522)!=(X4523))|((extended_enat2 @ X4522)=(extended_enat2 @ X4523))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_281_enat_Oinject])])). 20.88/21.08 thf(c_0_36, plain, ![X4554:extended_enat]:((((X4554)=(extended_enat2 @ (esk27_1 @ X4554)))|((X4554)=(extend5688581933313929465d_enat)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_975_enat_Oexhaust])])])). 20.88/21.08 thf(c_0_37, plain, ![X4552:nat]:(((extend5688581933313929465d_enat)!=(extended_enat2 @ X4552))), inference(variable_rename,[status(thm)],[fact_973_enat_Odistinct_I2_J])). 20.88/21.08 thf(c_0_38, plain, ![X6:nat, X116:nat]:((((X6)=(X116))|((extended_enat2 @ X6)!=(extended_enat2 @ X116)))), inference(split_conjunct,[status(thm)],[c_0_35])). 20.88/21.08 thf(c_0_39, plain, ![X29:extended_enat]:((((X29)=(extended_enat2 @ (esk27_1 @ X29)))|((X29)=(extend5688581933313929465d_enat)))), inference(split_conjunct,[status(thm)],[c_0_36])). 20.88/21.08 thf(c_0_40, plain, ![X6:nat]:(((extend5688581933313929465d_enat)!=(extended_enat2 @ X6))), inference(split_conjunct,[status(thm)],[c_0_37])). 20.88/21.08 thf(c_0_41, plain, ![X4424:extended_enat]:((~(ord_le72135733267957522d_enat @ X4424 @ extend5688581933313929465d_enat)|((X4424)=(extended_enat2 @ (esk11_1 @ X4424))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1036_less__infinityE])])])). 20.88/21.08 thf(c_0_42, plain, ![X6:nat]:(((esk27_1 @ (extended_enat2 @ X6))=(X6))), inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39])]), c_0_40])). 20.88/21.08 thf(c_0_43, plain, ![X29:extended_enat]:((((X29)=(extended_enat2 @ (esk11_1 @ X29)))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)))), inference(split_conjunct,[status(thm)],[c_0_41])). 20.88/21.08 thf(c_0_44, plain, ![X4427:extended_enat, X4428:extended_enat, X4429:extended_enat]:((((((X4427)!=(extend5688581933313929465d_enat))|~(ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ X4427 @ X4428) @ (plus_p3455044024723400733d_enat @ X4427 @ X4429)))&((ord_le72135733267957522d_enat @ X4428 @ X4429)|~(ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ X4427 @ X4428) @ (plus_p3455044024723400733d_enat @ X4427 @ X4429))))&(((X4427)=(extend5688581933313929465d_enat))|~(ord_le72135733267957522d_enat @ X4428 @ X4429)|(ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ X4427 @ X4428) @ (plus_p3455044024723400733d_enat @ X4427 @ X4429))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1039_enat__add__left__cancel__less])])])). 20.88/21.08 thf(c_0_45, plain, ![X4687:extended_enat]:(((plus_p3455044024723400733d_enat @ X4687 @ extend5688581933313929465d_enat)=(extend5688581933313929465d_enat))), inference(variable_rename,[status(thm)],[fact_931_plus__enat__simps_I3_J])). 20.88/21.08 thf(c_0_46, plain, ![X4518:nat, X4519:nat]:(((plus_p3455044024723400733d_enat @ (extended_enat2 @ X4518) @ (extended_enat2 @ X4519))=(extended_enat2 @ (plus_plus_nat @ X4518 @ X4519)))), inference(variable_rename,[status(thm)],[fact_274_plus__enat__simps_I1_J])). 20.88/21.08 thf(c_0_47, plain, ![X29:extended_enat]:((((esk11_1 @ X29)=(esk27_1 @ X29))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 20.88/21.08 thf(c_0_48, plain, ![X4398:extended_enat, X4399:nat]:((~(ord_le72135733267957522d_enat @ X4398 @ (extended_enat2 @ X4399))|((X4398)=(extended_enat2 @ (esk3_1 @ X4398))))), 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_299_enat__iless])])])])])). 20.88/21.08 thf(c_0_49, plain, ![X29:extended_enat, X41:extended_enat, X40:extended_enat]:(((ord_le72135733267957522d_enat @ X29 @ X40)|~((ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ X41 @ X29) @ (plus_p3455044024723400733d_enat @ X41 @ X40))))), inference(split_conjunct,[status(thm)],[c_0_44])). 20.88/21.08 thf(c_0_50, plain, ![X29:extended_enat]:(((plus_p3455044024723400733d_enat @ X29 @ extend5688581933313929465d_enat)=(extend5688581933313929465d_enat))), inference(split_conjunct,[status(thm)],[c_0_45])). 20.88/21.08 thf(c_0_51, plain, ![X4421:extended_enat]:(((~(ord_le72135733267957522d_enat @ X4421 @ extend5688581933313929465d_enat)|((X4421)!=(extend5688581933313929465d_enat)))&(((X4421)=(extend5688581933313929465d_enat))|(ord_le72135733267957522d_enat @ X4421 @ extend5688581933313929465d_enat)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_929_enat__ord__simps_I4_J])])). 20.88/21.08 thf(c_0_52, plain, ![X4392:nat, X4393:nat]:(((~(ord_le72135733267957522d_enat @ (extended_enat2 @ X4392) @ (extended_enat2 @ X4393))|(ord_less_nat @ X4392 @ X4393))&(~(ord_less_nat @ X4392 @ X4393)|(ord_le72135733267957522d_enat @ (extended_enat2 @ X4392) @ (extended_enat2 @ X4393))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_275_enat__ord__simps_I2_J])])). 20.88/21.08 thf(c_0_53, plain, ![X6:nat, X116:nat]:(((plus_p3455044024723400733d_enat @ (extended_enat2 @ X6) @ (extended_enat2 @ X116))=(extended_enat2 @ (plus_plus_nat @ X6 @ X116)))), inference(split_conjunct,[status(thm)],[c_0_46])). 20.88/21.08 thf(c_0_54, plain, ![X29:extended_enat]:((((extended_enat2 @ (esk27_1 @ X29))=(X29))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_43, c_0_47])). 20.88/21.08 thf(c_0_55, plain, ((plus_p3455044024723400733d_enat)=(^[Z0:extended_enat, Z1:extended_enat]:(plus_p3455044024723400733d_enat @ Z1 @ Z0))), inference(fof_simplification,[status(thm)],[fact_145_add_Ocommute])). 20.88/21.08 thf(c_0_56, plain, ![X29:extended_enat, X6:nat]:((((X29)=(extended_enat2 @ (esk3_1 @ X29)))|~((ord_le72135733267957522d_enat @ X29 @ (extended_enat2 @ X6))))), inference(split_conjunct,[status(thm)],[c_0_48])). 20.88/21.08 thf(c_0_57, plain, ((one_on7984719198319812577d_enat)=(extended_enat2 @ one_one_nat)), inference(split_conjunct,[status(thm)],[fact_440_one__enat__def])). 20.88/21.08 thf(c_0_58, plain, ![X40:extended_enat, X29:extended_enat]:(((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)|~((ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ X40 @ X29) @ extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 20.88/21.08 thf(c_0_59, plain, ![X29:extended_enat]:((((X29)=(extend5688581933313929465d_enat))|(ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat))), inference(split_conjunct,[status(thm)],[c_0_51])). 20.88/21.08 thf(c_0_60, plain, ![X4426:nat]:((ord_le72135733267957522d_enat @ (extended_enat2 @ X4426) @ extend5688581933313929465d_enat)), inference(variable_rename,[status(thm)],[fact_1037_enat__ord__code_I4_J])). 20.88/21.08 thf(c_0_61, plain, ![X6:nat, X116:nat]:(((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ (extended_enat2 @ X116))|~((ord_less_nat @ X6 @ X116)))), inference(split_conjunct,[status(thm)],[c_0_52])). 20.88/21.08 thf(c_0_62, plain, ![X5814:nat]:((ord_less_nat @ X5814 @ (plus_plus_nat @ X5814 @ one_one_nat))), inference(variable_rename,[status(thm)],[fact_1066_less__add__one])). 20.88/21.08 thf(c_0_63, plain, ![X4538:extended_enat, X4539:nat]:((~(ord_le2932123472753598470d_enat @ X4538 @ (extended_enat2 @ X4539))|((X4538)=(extended_enat2 @ (esk23_1 @ X4538))))), 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_298_enat__ile])])])])])). 20.88/21.08 thf(c_0_64, plain, ![X4524:nat, X4525:nat]:(((~(ord_le2932123472753598470d_enat @ (extended_enat2 @ X4524) @ (extended_enat2 @ X4525))|(ord_less_eq_nat @ X4524 @ X4525))&(~(ord_less_eq_nat @ X4524 @ X4525)|(ord_le2932123472753598470d_enat @ (extended_enat2 @ X4524) @ (extended_enat2 @ X4525))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_283_enat__ord__simps_I1_J])])). 20.88/21.08 thf(c_0_65, plain, ![X6:nat, X29:extended_enat]:((((extended_enat2 @ (plus_plus_nat @ X6 @ (esk27_1 @ X29)))=(plus_p3455044024723400733d_enat @ (extended_enat2 @ X6) @ X29))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 20.88/21.08 thf(c_0_66, plain, ((plus_p3455044024723400733d_enat)=(^[Z0:extended_enat, Z1:extended_enat]:(plus_p3455044024723400733d_enat @ Z1 @ Z0))), inference(split_conjunct,[status(thm)],[c_0_55])). 20.88/21.08 thf(c_0_67, plain, ![X29:extended_enat]:((((extended_enat2 @ (esk3_1 @ X29))=(X29))|~((ord_le72135733267957522d_enat @ X29 @ one_on7984719198319812577d_enat)))), inference(spm,[status(thm)],[c_0_56, c_0_57])). 20.88/21.08 thf(c_0_68, negated_conjecture, ~(ord_le72135733267957522d_enat @ (extended_enat2 @ (undire8849074589633906640ngth_a @ p3)) @ (shortest_path_a @ vertices @ edges @ x @ y)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 20.88/21.08 thf(c_0_69, plain, ![X6:nat, X116:nat, X29:extended_enat]:(((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ X29)|~((ord_le72135733267957522d_enat @ (extended_enat2 @ (plus_plus_nat @ X116 @ X6)) @ (plus_p3455044024723400733d_enat @ (extended_enat2 @ X116) @ X29))))), inference(spm,[status(thm)],[c_0_49, c_0_53])). 20.88/21.08 thf(c_0_70, plain, ![X29:extended_enat, X40:extended_enat]:((((plus_p3455044024723400733d_enat @ X29 @ X40)=(extend5688581933313929465d_enat))|(ord_le72135733267957522d_enat @ X40 @ extend5688581933313929465d_enat))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 20.88/21.08 thf(c_0_71, plain, ![X6:nat]:((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ extend5688581933313929465d_enat)), inference(split_conjunct,[status(thm)],[c_0_60])). 20.88/21.08 thf(c_0_72, plain, ![X4644:extended_enat, X4645:extended_enat, X4646:extended_enat]:((~(ord_le2932123472753598470d_enat @ X4644 @ X4645)|(ord_le2932123472753598470d_enat @ (plus_p3455044024723400733d_enat @ X4646 @ X4644) @ (plus_p3455044024723400733d_enat @ X4646 @ X4645)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_188_add__left__mono])])). 20.88/21.08 thf(c_0_73, plain, ![X4616:extended_enat]:(((plus_p3455044024723400733d_enat @ X4616 @ zero_z5237406670263579293d_enat)=(X4616))), inference(variable_rename,[status(thm)],[fact_118_add_Oright__neutral])). 20.88/21.08 thf(c_0_74, plain, ![X4699:extended_enat]:((ord_le2932123472753598470d_enat @ zero_z5237406670263579293d_enat @ X4699)), inference(variable_rename,[status(thm)],[fact_170_zero__le])). 20.88/21.08 thf(c_0_75, plain, ![X6:nat, X116:nat]:((((extended_enat2 @ (esk3_1 @ (extended_enat2 @ X6)))=(extended_enat2 @ X6))|~((ord_less_nat @ X6 @ X116)))), inference(spm,[status(thm)],[c_0_56, c_0_61])). 20.88/21.08 thf(c_0_76, plain, ![X6:nat]:((ord_less_nat @ X6 @ (plus_plus_nat @ X6 @ one_one_nat))), inference(split_conjunct,[status(thm)],[c_0_62])). 20.88/21.08 thf(c_0_77, plain, ![X29:extended_enat, X6:nat]:((((X29)=(extended_enat2 @ (esk23_1 @ X29)))|~((ord_le2932123472753598470d_enat @ X29 @ (extended_enat2 @ X6))))), inference(split_conjunct,[status(thm)],[c_0_63])). 20.88/21.08 thf(c_0_78, plain, ![X6:nat, X116:nat]:(((ord_le2932123472753598470d_enat @ (extended_enat2 @ X6) @ (extended_enat2 @ X116))|~((ord_less_eq_nat @ X6 @ X116)))), inference(split_conjunct,[status(thm)],[c_0_64])). 20.88/21.08 thf(c_0_79, plain, ![X5839:nat]:((ord_less_eq_nat @ X5839 @ (times_times_nat @ X5839 @ (times_times_nat @ X5839 @ X5839)))), inference(variable_rename,[status(thm)],[fact_1263_le__cube])). 20.88/21.08 thf(c_0_80, plain, ![X6:nat, X29:extended_enat]:((((plus_p3455044024723400733d_enat @ (extended_enat2 @ X6) @ X29)!=(extend5688581933313929465d_enat))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_40, c_0_65])). 20.88/21.08 thf(c_0_81, plain, ![X40:extended_enat, X29:extended_enat]:(((plus_p3455044024723400733d_enat @ X29 @ X40)=(plus_p3455044024723400733d_enat @ X40 @ X29))), inference(arg_cong,[status(thm)],[c_0_66])). 20.88/21.08 thf(c_0_82, plain, ![X29:extended_enat]:((((esk3_1 @ X29)=(esk27_1 @ X29))|~((ord_le72135733267957522d_enat @ X29 @ one_on7984719198319812577d_enat)))), inference(spm,[status(thm)],[c_0_42, c_0_67])). 20.88/21.08 thf(c_0_83, negated_conjecture, ~((ord_le72135733267957522d_enat @ (extended_enat2 @ (undire8849074589633906640ngth_a @ p3)) @ (shortest_path_a @ vertices @ edges @ x @ y))), inference(split_conjunct,[status(thm)],[c_0_68])). 20.88/21.08 thf(c_0_84, plain, ![X6:nat, X29:extended_enat]:(((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ X29)|(ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71])])). 20.88/21.08 thf(c_0_85, plain, ![X29:extended_enat, X41:extended_enat, X40:extended_enat]:(((ord_le2932123472753598470d_enat @ (plus_p3455044024723400733d_enat @ X41 @ X29) @ (plus_p3455044024723400733d_enat @ X41 @ X40))|~((ord_le2932123472753598470d_enat @ X29 @ X40)))), inference(split_conjunct,[status(thm)],[c_0_72])). 20.88/21.08 thf(c_0_86, plain, ![X29:extended_enat]:(((plus_p3455044024723400733d_enat @ X29 @ zero_z5237406670263579293d_enat)=(X29))), inference(split_conjunct,[status(thm)],[c_0_73])). 20.88/21.08 thf(c_0_87, plain, ![X29:extended_enat]:((ord_le2932123472753598470d_enat @ zero_z5237406670263579293d_enat @ X29)), inference(split_conjunct,[status(thm)],[c_0_74])). 20.88/21.08 thf(c_0_88, plain, ![X6:nat]:(((extended_enat2 @ (esk3_1 @ (extended_enat2 @ X6)))=(extended_enat2 @ X6))), inference(spm,[status(thm)],[c_0_75, c_0_76])). 20.88/21.08 thf(c_0_89, plain, ![X6:nat, X116:nat]:((((extended_enat2 @ (esk23_1 @ (extended_enat2 @ X6)))=(extended_enat2 @ X6))|~((ord_less_eq_nat @ X6 @ X116)))), inference(spm,[status(thm)],[c_0_77, c_0_78])). 20.88/21.08 thf(c_0_90, plain, ![X6:nat]:((ord_less_eq_nat @ X6 @ (times_times_nat @ X6 @ (times_times_nat @ X6 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_79])). 20.88/21.08 thf(c_0_91, plain, ![X6:nat, X29:extended_enat]:((((plus_p3455044024723400733d_enat @ X29 @ (extended_enat2 @ X6))!=(extend5688581933313929465d_enat))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_80, c_0_81])). 20.88/21.08 thf(c_0_92, plain, ![X29:extended_enat]:((((extended_enat2 @ (esk27_1 @ X29))=(X29))|~((ord_le72135733267957522d_enat @ X29 @ one_on7984719198319812577d_enat)))), inference(spm,[status(thm)],[c_0_67, c_0_82])). 20.88/21.08 thf(c_0_93, plain, ![X29:extended_enat, X40:extended_enat]:((((extended_enat2 @ (esk23_1 @ X29))=(X29))|~((ord_le72135733267957522d_enat @ X40 @ extend5688581933313929465d_enat))|~((ord_le2932123472753598470d_enat @ X29 @ X40)))), inference(spm,[status(thm)],[c_0_77, c_0_54])). 20.88/21.08 thf(c_0_94, negated_conjecture, (ord_le72135733267957522d_enat @ (shortest_path_a @ vertices @ edges @ x @ y) @ extend5688581933313929465d_enat), inference(spm,[status(thm)],[c_0_83, c_0_84])). 20.88/21.08 thf(c_0_95, plain, ![X29:extended_enat, X40:extended_enat]:((ord_le2932123472753598470d_enat @ X29 @ (plus_p3455044024723400733d_enat @ X29 @ X40))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87])])). 20.88/21.08 thf(c_0_96, plain, ![X6:nat]:(((esk3_1 @ (extended_enat2 @ X6))=(X6))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_88]), c_0_42])). 20.88/21.08 thf(c_0_97, plain, ![X6:nat]:(((extended_enat2 @ (esk23_1 @ (extended_enat2 @ X6)))=(extended_enat2 @ X6))), inference(spm,[status(thm)],[c_0_89, c_0_90])). 20.88/21.08 thf(c_0_98, plain, ![X277:extended_enat]:(~(ord_le72135733267957522d_enat @ X277 @ zero_z5237406670263579293d_enat)), inference(fof_simplification,[status(thm)],[fact_174_not__less__zero])). 20.88/21.08 thf(c_0_99, plain, ![X4544:extended_enat, X4546:extended_enat, X4547:nat]:(((((X4544)=(extend5688581933313929465d_enat))|((X4544)=(extended_enat2 @ (esk25_1 @ X4544))))&(((X4546)!=(extended_enat2 @ X4547))|((X4546)!=(extend5688581933313929465d_enat))))), 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_925_not__infinity__eq])])])])])). 20.88/21.08 thf(c_0_100, plain, ![X29:extended_enat, X40:extended_enat]:((((plus_p3455044024723400733d_enat @ X29 @ X40)!=(extend5688581933313929465d_enat))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat))|~((ord_le72135733267957522d_enat @ X40 @ one_on7984719198319812577d_enat)))), inference(spm,[status(thm)],[c_0_91, c_0_92])). 20.88/21.08 thf(c_0_101, negated_conjecture, ![X29:extended_enat]:((((extended_enat2 @ (esk23_1 @ X29))=(X29))|~((ord_le2932123472753598470d_enat @ X29 @ (shortest_path_a @ vertices @ edges @ x @ y))))), inference(spm,[status(thm)],[c_0_93, c_0_94])). 20.88/21.08 thf(c_0_102, plain, ![X29:extended_enat]:((ord_le2932123472753598470d_enat @ X29 @ X29)), inference(spm,[status(thm)],[c_0_95, c_0_86])). 20.88/21.08 thf(c_0_103, plain, ![X6:nat]:(((esk23_1 @ (extended_enat2 @ X6))=(X6))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_96])). 20.88/21.08 thf(c_0_104, plain, ![X4365:extended_enat]:(~(ord_le72135733267957522d_enat @ X4365 @ zero_z5237406670263579293d_enat)), inference(variable_rename,[status(thm)],[c_0_98])). 20.88/21.08 thf(c_0_105, plain, ![X29:extended_enat]:((((X29)=(extend5688581933313929465d_enat))|((X29)=(extended_enat2 @ (esk25_1 @ X29))))), inference(split_conjunct,[status(thm)],[c_0_99])). 20.88/21.08 thf(c_0_106, negated_conjecture, ![X29:extended_enat]:((((plus_p3455044024723400733d_enat @ (shortest_path_a @ vertices @ edges @ x @ y) @ X29)!=(extend5688581933313929465d_enat))|~((ord_le72135733267957522d_enat @ X29 @ one_on7984719198319812577d_enat)))), inference(spm,[status(thm)],[c_0_100, c_0_94])). 20.88/21.08 thf(c_0_107, plain, (ord_le72135733267957522d_enat @ zero_z5237406670263579293d_enat @ one_on7984719198319812577d_enat), inference(split_conjunct,[status(thm)],[fact_1057_zero__less__one])). 20.88/21.08 thf(c_0_108, negated_conjecture, ((extended_enat2 @ (esk23_1 @ (shortest_path_a @ vertices @ edges @ x @ y)))=(shortest_path_a @ vertices @ edges @ x @ y)), inference(spm,[status(thm)],[c_0_101, c_0_102])). 20.88/21.08 thf(c_0_109, plain, ![X29:extended_enat]:((((esk23_1 @ X29)=(esk11_1 @ X29))|~((ord_le72135733267957522d_enat @ X29 @ extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_103, c_0_43])). 20.88/21.08 thf(c_0_110, plain, ![X29:extended_enat]:(~((ord_le72135733267957522d_enat @ X29 @ zero_z5237406670263579293d_enat))), inference(split_conjunct,[status(thm)],[c_0_104])). 20.88/21.08 thf(c_0_111, plain, ![X29:extended_enat]:((((esk23_1 @ X29)=(esk25_1 @ X29))|((X29)=(extend5688581933313929465d_enat)))), inference(spm,[status(thm)],[c_0_103, c_0_105])). 20.88/21.08 thf(c_0_112, negated_conjecture, ((shortest_path_a @ vertices @ edges @ x @ y)!=(extend5688581933313929465d_enat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_86]), c_0_107])])). 20.88/21.08 thf(c_0_113, negated_conjecture, ((extended_enat2 @ (esk11_1 @ (shortest_path_a @ vertices @ edges @ x @ y)))=(shortest_path_a @ vertices @ edges @ x @ y)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_94])])). 20.88/21.08 thf(c_0_114, plain, ![X40:extended_enat, X29:extended_enat]:(~((ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ X29 @ X40) @ X29))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_86]), c_0_110])). 20.88/21.08 thf(c_0_115, plain, ![X5363:nat, X5364:nat]:((~(ord_less_eq_nat @ X5363 @ X5364)|((X5364)=(plus_plus_nat @ X5363 @ (esk117_2 @ X5363 @ X5364))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_187_less__eqE])])])). 20.88/21.08 thf(c_0_116, negated_conjecture, ((extended_enat2 @ (esk25_1 @ (shortest_path_a @ vertices @ edges @ x @ y)))=(shortest_path_a @ vertices @ edges @ x @ y)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_111]), c_0_112])). 20.88/21.08 thf(c_0_117, negated_conjecture, ((esk3_1 @ (shortest_path_a @ vertices @ edges @ x @ y))=(esk11_1 @ (shortest_path_a @ vertices @ edges @ x @ y))), inference(spm,[status(thm)],[c_0_96, c_0_113])). 20.88/21.08 thf(c_0_118, negated_conjecture, ((esk11_1 @ (shortest_path_a @ vertices @ edges @ x @ y))=(esk27_1 @ (shortest_path_a @ vertices @ edges @ x @ y))), inference(spm,[status(thm)],[c_0_42, c_0_113])). 20.88/21.08 thf(c_0_119, plain, ![X4440:a, X4441:a]:((((member_list_a @ (esk14_2 @ X4440 @ X4441) @ (connecting_paths_a @ vertices @ edges @ X4440 @ X4441))|~(vert_connected_a @ vertices @ edges @ X4440 @ X4441))&(((extended_enat2 @ (undire8849074589633906640ngth_a @ (esk14_2 @ X4440 @ X4441)))=(shortest_path_a @ vertices @ edges @ X4440 @ X4441))|~(vert_connected_a @ vertices @ edges @ X4440 @ X4441)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_37_shortest__path__obtains2])])])])). 20.88/21.08 thf(c_0_120, plain, ![X116:nat, X6:nat]:(~((ord_le72135733267957522d_enat @ (extended_enat2 @ (plus_plus_nat @ X6 @ X116)) @ (extended_enat2 @ X6)))), inference(spm,[status(thm)],[c_0_114, c_0_53])). 20.88/21.08 thf(c_0_121, plain, ![X6:nat, X116:nat]:((((X116)=(plus_plus_nat @ X6 @ (esk117_2 @ X6 @ X116)))|~((ord_less_eq_nat @ X6 @ X116)))), inference(split_conjunct,[status(thm)],[c_0_115])). 20.88/21.08 thf(c_0_122, negated_conjecture, ((esk27_1 @ (shortest_path_a @ vertices @ edges @ x @ y))=(esk25_1 @ (shortest_path_a @ vertices @ edges @ x @ y))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_116]), c_0_117]), c_0_118])). 20.88/21.08 thf(c_0_123, plain, ![X1:a, X2:a]:((((extended_enat2 @ (undire8849074589633906640ngth_a @ (esk14_2 @ X1 @ X2)))=(shortest_path_a @ vertices @ edges @ X1 @ X2))|~((vert_connected_a @ vertices @ edges @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_119])). 20.88/21.08 thf(c_0_124, plain, ![X116:nat, X6:nat]:((~((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ (extended_enat2 @ X116)))|~((ord_less_eq_nat @ X116 @ X6)))), inference(spm,[status(thm)],[c_0_120, c_0_121])). 20.88/21.08 thf(c_0_125, negated_conjecture, ((esk3_1 @ (shortest_path_a @ vertices @ edges @ x @ y))=(esk25_1 @ (shortest_path_a @ vertices @ edges @ x @ y))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118]), c_0_122])). 20.88/21.08 thf(c_0_126, plain, ![X1:a, X2:a]:((((esk3_1 @ (shortest_path_a @ vertices @ edges @ X1 @ X2))=(undire8849074589633906640ngth_a @ (esk14_2 @ X1 @ X2)))|~((vert_connected_a @ vertices @ edges @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_96, c_0_123])). 20.88/21.08 thf(c_0_127, plain, (vert_connected_a @ vertices @ edges @ x @ y), inference(split_conjunct,[status(thm)],[fact_11_True])). 20.88/21.08 thf(c_0_128, plain, ![X5411:nat, X5412:nat, X5413:nat]:((~(ord_less_eq_nat @ X5411 @ X5412)|(~(ord_less_eq_nat @ X5412 @ X5413)|(ord_less_eq_nat @ X5411 @ X5413)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_340_le__trans])])). 20.88/21.08 thf(c_0_129, plain, (ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ (shortest_path_a @ vertices @ edges @ x @ z) @ (shortest_path_a @ vertices @ edges @ z @ y)) @ (shortest_path_a @ vertices @ edges @ x @ y)), inference(split_conjunct,[status(thm)],[fact_1_c])). 20.88/21.08 thf(c_0_130, plain, ((shortest_path_a @ vertices @ edges @ x @ z)=(extended_enat2 @ (undire8849074589633906640ngth_a @ p1))), inference(split_conjunct,[status(thm)],[fact_4_s1])). 20.88/21.08 thf(c_0_131, plain, ((shortest_path_a @ vertices @ edges @ z @ y)=(extended_enat2 @ (undire8849074589633906640ngth_a @ p2))), inference(split_conjunct,[status(thm)],[fact_5_s2])). 20.88/21.08 thf(c_0_132, negated_conjecture, ![X6:nat]:((~((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ (shortest_path_a @ vertices @ edges @ x @ y)))|~((ord_less_eq_nat @ (esk25_1 @ (shortest_path_a @ vertices @ edges @ x @ y)) @ X6)))), inference(spm,[status(thm)],[c_0_124, c_0_116])). 20.88/21.08 thf(c_0_133, negated_conjecture, ((esk25_1 @ (shortest_path_a @ vertices @ edges @ x @ y))=(undire8849074589633906640ngth_a @ (esk14_2 @ x @ y))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_127])])). 20.88/21.08 thf(c_0_134, plain, ![X6:nat, X116:nat, X117:nat]:(((ord_less_eq_nat @ X6 @ X117)|~((ord_less_eq_nat @ X6 @ X116))|~((ord_less_eq_nat @ X116 @ X117)))), inference(split_conjunct,[status(thm)],[c_0_128])). 20.88/21.08 thf(c_0_135, plain, (ord_less_eq_nat @ (undire8849074589633906640ngth_a @ p3) @ (plus_plus_nat @ (undire8849074589633906640ngth_a @ p1) @ (undire8849074589633906640ngth_a @ p2))), inference(split_conjunct,[status(thm)],[fact_135__092_060open_062walk__length_Ap3_A_092_060le_062_Awalk__length_Ap1_A_L_Awalk__length_Ap2_092_060close_062])). 20.88/21.08 thf(c_0_136, plain, (ord_le72135733267957522d_enat @ (plus_p3455044024723400733d_enat @ (extended_enat2 @ (undire8849074589633906640ngth_a @ p1)) @ (extended_enat2 @ (undire8849074589633906640ngth_a @ p2))) @ (shortest_path_a @ vertices @ edges @ x @ y)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129, c_0_130]), c_0_131])). 20.88/21.08 thf(c_0_137, negated_conjecture, ![X6:nat]:((~((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ (shortest_path_a @ vertices @ edges @ x @ y)))|~((ord_less_eq_nat @ (undire8849074589633906640ngth_a @ (esk14_2 @ x @ y)) @ X6)))), inference(rw,[status(thm)],[c_0_132, c_0_133])). 20.88/21.08 thf(c_0_138, plain, ![X6:nat]:(((ord_less_eq_nat @ X6 @ (plus_plus_nat @ (undire8849074589633906640ngth_a @ p1) @ (undire8849074589633906640ngth_a @ p2)))|~((ord_less_eq_nat @ X6 @ (undire8849074589633906640ngth_a @ p3))))), inference(spm,[status(thm)],[c_0_134, c_0_135])). 20.88/21.08 thf(c_0_139, plain, (ord_le72135733267957522d_enat @ (extended_enat2 @ (plus_plus_nat @ (undire8849074589633906640ngth_a @ p1) @ (undire8849074589633906640ngth_a @ p2))) @ (shortest_path_a @ vertices @ edges @ x @ y)), inference(rw,[status(thm)],[c_0_136, c_0_53])). 20.88/21.08 thf(c_0_140, plain, ![X5418:nat, X5419:nat]:(((ord_less_eq_nat @ X5418 @ X5419)|(ord_less_eq_nat @ X5419 @ X5418))), inference(variable_rename,[status(thm)],[fact_343_nat__le__linear])). 20.88/21.08 thf(c_0_141, plain, ![X4849:nat, X4850:nat]:((~(ord_less_eq_nat @ X4849 @ X4850)|(((X4849)=(X4850))|(ord_less_nat @ X4849 @ X4850)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_363_le__neq__implies__less])])). 20.88/21.08 thf(c_0_142, negated_conjecture, ~((ord_less_eq_nat @ (undire8849074589633906640ngth_a @ (esk14_2 @ x @ y)) @ (undire8849074589633906640ngth_a @ p3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_138]), c_0_139])])). 20.88/21.08 thf(c_0_143, plain, ![X116:nat, X6:nat]:(((ord_less_eq_nat @ X6 @ X116)|(ord_less_eq_nat @ X116 @ X6))), inference(split_conjunct,[status(thm)],[c_0_140])). 20.88/21.08 thf(c_0_144, plain, ![X6:nat, X116:nat]:((((X6)=(X116))|(ord_less_nat @ X6 @ X116)|~((ord_less_eq_nat @ X6 @ X116)))), inference(split_conjunct,[status(thm)],[c_0_141])). 20.88/21.08 thf(c_0_145, negated_conjecture, (ord_less_eq_nat @ (undire8849074589633906640ngth_a @ p3) @ (undire8849074589633906640ngth_a @ (esk14_2 @ x @ y))), inference(spm,[status(thm)],[c_0_142, c_0_143])). 20.88/21.08 thf(c_0_146, plain, ![X6:nat, X1:a, X2:a]:(((ord_le72135733267957522d_enat @ (extended_enat2 @ X6) @ (shortest_path_a @ vertices @ edges @ X1 @ X2))|~((ord_less_nat @ X6 @ (undire8849074589633906640ngth_a @ (esk14_2 @ X1 @ X2))))|~((vert_connected_a @ vertices @ edges @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_61, c_0_123])). 20.88/21.08 thf(c_0_147, negated_conjecture, (((undire8849074589633906640ngth_a @ (esk14_2 @ x @ y))=(undire8849074589633906640ngth_a @ p3))|(ord_less_nat @ (undire8849074589633906640ngth_a @ p3) @ (undire8849074589633906640ngth_a @ (esk14_2 @ x @ y)))), inference(spm,[status(thm)],[c_0_144, c_0_145])). 20.88/21.08 thf(c_0_148, plain, ![X5410:nat]:((ord_less_eq_nat @ X5410 @ X5410)), inference(variable_rename,[status(thm)],[fact_339_le__refl])). 20.88/21.08 thf(c_0_149, negated_conjecture, ((undire8849074589633906640ngth_a @ (esk14_2 @ x @ y))=(undire8849074589633906640ngth_a @ p3)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_147]), c_0_127])]), c_0_83])). 20.88/21.08 thf(c_0_150, plain, ![X6:nat]:((ord_less_eq_nat @ X6 @ X6)), inference(split_conjunct,[status(thm)],[c_0_148])). 20.88/21.08 thf(c_0_151, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142, c_0_149]), c_0_150])]), ['proof']). 20.88/21.08 # SZS output end CNFRefutation 20.88/21.08 # Parsed axioms : 1486 20.88/21.08 # Removed by relevancy pruning/SinE : 652 20.88/21.08 # Initial clauses : 7991 20.88/21.08 # Removed in clause preprocessing : 47 20.88/21.08 # Initial clauses in saturation : 7944 20.88/21.08 # Processed clauses : 38977 20.88/21.08 # ...of these trivial : 698 20.88/21.08 # ...subsumed : 32402 20.88/21.08 # ...remaining for further processing : 5877 20.88/21.08 # Other redundant clauses eliminated : 4499 20.88/21.08 # Clauses deleted for lack of memory : 0 20.88/21.08 # Backward-subsumed : 262 20.88/21.08 # Backward-rewritten : 199 20.88/21.08 # Generated clauses : 194019 20.88/21.08 # ...of the previous two non-redundant : 173189 20.88/21.08 # ...aggressively subsumed : 0 20.88/21.08 # Contextual simplify-reflections : 55 20.88/21.08 # Paramodulations : 189330 20.88/21.08 # Factorizations : 12 20.88/21.08 # NegExts : 0 20.88/21.08 # Equation resolutions : 4537 20.88/21.08 # Propositional unsat checks : 1 20.88/21.08 # Propositional check models : 0 20.88/21.08 # Propositional check unsatisfiable : 0 20.88/21.08 # Propositional clauses : 0 20.88/21.08 # Propositional clauses after purity: 0 20.88/21.08 # Propositional unsat core size : 0 20.88/21.08 # Propositional preprocessing time : 0.000 20.88/21.08 # Propositional encoding time : 0.108 20.88/21.08 # Propositional solver time : 0.027 20.88/21.08 # Success case prop preproc time : 0.000 20.88/21.08 # Success case prop encoding time : 0.000 20.88/21.08 # Success case prop solver time : 0.000 20.88/21.08 # Current number of processed clauses : 4297 20.88/21.08 # Positive orientable unit clauses : 381 20.88/21.08 # Positive unorientable unit clauses: 46 20.88/21.08 # Negative unit clauses : 369 20.88/21.08 # Non-unit-clauses : 3501 20.88/21.08 # Current number of unprocessed clauses: 140700 20.88/21.08 # ...number of literals in the above : 457321 20.88/21.08 # Current number of archived formulas : 0 20.88/21.08 # Current number of archived clauses : 1405 20.88/21.08 # Clause-clause subsumption calls (NU) : 2410798 20.88/21.08 # Rec. Clause-clause subsumption calls : 1376596 20.88/21.08 # Non-unit clause-clause subsumptions : 20595 20.88/21.08 # Unit Clause-clause subsumption calls : 302720 20.88/21.08 # Rewrite failures with RHS unbound : 0 20.88/21.08 # BW rewrite match attempts : 925 20.88/21.08 # BW rewrite match successes : 362 20.88/21.08 # Condensation attempts : 0 20.88/21.08 # Condensation successes : 0 20.88/21.08 # Termbank termtop insertions : 6149173 20.88/21.08 20.88/21.08 # ------------------------------------------------- 20.88/21.08 # User time : 19.851 s 20.88/21.08 # System time : 0.558 s 20.88/21.08 # Total time : 20.408 s 20.88/21.08 # Maximum resident set size: 19448 pages 20.88/21.08 20.88/21.08 # ------------------------------------------------- 20.88/21.08 # User time : 19.906 s 20.88/21.08 # System time : 0.565 s 20.88/21.08 # Total time : 20.471 s 20.88/21.08 # Maximum resident set size: 4868 pages 20.88/21.08 EOF