0.10/0.35 % Problem : SLH0233^1 : TPTP v8.2.0. Released v8.2.0. 0.10/0.36 % Command : run_E %s %d THM 0.35/0.56 % Computer : n017.cluster.edu 0.35/0.56 % Model : x86_64 x86_64 0.35/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.35/0.56 % Memory : 8042.1875MB 0.35/0.56 % OS : Linux 3.10.0-693.el7.x86_64 0.35/0.56 % CPULimit : 30 0.35/0.56 % WCLimit : 30 0.35/0.56 % DateTime : Mon Jul 3 08:42:23 EDT 2023 0.35/0.56 % CPUTime : 0.46/0.66 The problem SPC is TH0_THM_EQU_NAR 0.46/0.67 Running higher-order on 1 cores theorem proving 0.46/0.67 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019 0.46/0.67 # Version: 3.0pre003-ho 4.69/4.95 # partial match(1): HSLMSMSMSSMNHFA 4.69/4.95 # Preprocessing class: HMLMSMSMSSMNHFA. 4.69/4.95 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 4.69/4.95 # Starting full_lambda_6 with 30s (1) cores 4.69/4.95 # full_lambda_6 with pid 13199 completed with status 0 4.69/4.95 # Result found by full_lambda_6 4.69/4.95 # partial match(1): HSLMSMSMSSMNHFA 4.69/4.95 # Preprocessing class: HMLMSMSMSSMNHFA. 4.69/4.95 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 4.69/4.95 # Starting full_lambda_6 with 30s (1) cores 4.69/4.95 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 4.69/4.95 # ...ProofStateSinE()=1069/1633 4.69/4.95 # Search class: HGHSM-SMLM31-DHFFFSBN 4.69/4.95 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 4.69/4.95 # Starting new_ho_11 with 17s (1) cores 4.69/4.95 # new_ho_11 with pid 13200 completed with status 0 4.69/4.95 # Result found by new_ho_11 4.69/4.95 # partial match(1): HSLMSMSMSSMNHFA 4.69/4.95 # Preprocessing class: HMLMSMSMSSMNHFA. 4.69/4.95 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 4.69/4.95 # Starting full_lambda_6 with 30s (1) cores 4.69/4.95 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true) 4.69/4.95 # ...ProofStateSinE()=1069/1633 4.69/4.95 # Search class: HGHSM-SMLM31-DHFFFSBN 4.69/4.95 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 4.69/4.95 # Starting new_ho_11 with 17s (1) cores 4.69/4.95 # Preprocessing time : 0.025 s 4.69/4.95 # Presaturation interreduction done 4.69/4.95 # SatCheck found unsatisfiable ground set 4.69/4.95 4.69/4.95 # Proof found! 4.69/4.95 # SZS status Theorem 4.69/4.95 # SZS output start CNFRefutation 4.69/4.95 thf(decl_22, type, design4994730182266451326_I_nat: multiset_set_nat > set_Pr400265656397884439et_nat). 4.69/4.95 thf(decl_23, type, design_incidence_I_a: multiset_set_a > set_Pr6393634178297680487_set_a). 4.69/4.95 thf(decl_24, type, design2875492832550762736nt_nat: set_nat > set_nat > set_nat). 4.69/4.95 thf(decl_25, type, design6447616907850319326ment_a: set_a > set_a > set_a). 4.69/4.95 thf(decl_26, type, design5569578106646884273ks_nat: set_nat > multiset_set_nat > multiset_set_nat). 4.69/4.95 thf(decl_27, type, design8640656491286871389ocks_a: set_a > multiset_set_a > multiset_set_a). 4.69/4.95 thf(decl_28, type, design4862117536649126062rt_nat: multiset_set_nat > set_set_nat). 4.69/4.95 thf(decl_29, type, design5397942185814921632port_a: multiset_set_a > set_set_a). 4.69/4.95 thf(decl_30, type, design4921999586640349950at_int: multiset_set_mat_int > mat_int > set_mat_int > $o). 4.69/4.95 thf(decl_31, type, design8502206366797944887nt_nat: multiset_set_nat > nat > set_nat > $o). 4.69/4.95 thf(decl_32, type, design6730127902233323501et_nat: multiset_set_set_nat > set_nat > set_set_nat > $o). 4.69/4.95 thf(decl_33, type, design6773327923283668919_set_a: multiset_set_set_a > set_a > set_set_a > $o). 4.69/4.95 thf(decl_34, type, design3210447939978979927dent_a: multiset_set_a > a > set_a > $o). 4.69/4.95 thf(decl_35, type, design3853898657598026467rs_nat: set_nat > multiset_set_nat > set_nat). 4.69/4.95 thf(decl_36, type, design8835372594653258411bers_a: set_a > multiset_set_a > set_nat). 4.69/4.95 thf(decl_37, type, design8152002643121538447es_nat: multiset_set_nat > set_nat). 4.69/4.95 thf(decl_38, type, design1769254222028858111izes_a: multiset_set_a > set_nat). 4.69/4.95 thf(decl_39, type, design3571518413069006949er_nat: multiset_set_nat > nat > nat). 4.69/4.95 thf(decl_40, type, design6637022207325878697mber_a: multiset_set_a > a > nat). 4.69/4.95 thf(decl_41, type, design6574611146354332593ex_nat: multiset_set_nat > set_nat > nat). 4.69/4.95 thf(decl_42, type, design4725324266511619850ck_nat: multiset_set_nat > set_nat > multiset_set_nat). 4.69/4.95 thf(decl_43, type, design8239173135376323853nt_nat: set_nat > nat > set_nat). 4.69/4.95 thf(decl_44, type, design5698312687278145166ks_nat: multiset_set_nat > nat > set_set_nat > multiset_set_nat). 4.69/4.95 thf(decl_45, type, design2935547469388721088ocks_a: multiset_set_a > a > set_set_a > multiset_set_a). 4.69/4.95 thf(decl_46, type, design755385109423264192ck_nat: multiset_set_nat > set_nat > multiset_set_nat). 4.69/4.95 thf(decl_47, type, design4269233978287968195nt_nat: set_nat > nat > set_nat). 4.69/4.95 thf(decl_48, type, design108908007054065099oint_a: set_a > a > set_a). 4.69/4.95 thf(decl_49, type, design4832208198062110345ks_nat: multiset_set_nat > nat > multiset_set_nat). 4.69/4.95 thf(decl_50, type, design6411949732824333445ocks_a: multiset_set_a > a > multiset_set_a). 4.69/4.95 thf(decl_51, type, design3550126062406151447ck_nat: multiset_set_nat > set_nat > multiset_set_nat). 4.69/4.95 thf(decl_52, type, design4241783006516448631lock_a: multiset_set_a > set_a > multiset_set_a). 4.69/4.95 thf(decl_53, type, design3278834155446248416ks_nat: multiset_set_nat > nat > multiset_set_nat). 4.69/4.95 thf(decl_54, type, dual_dual_blocks_nat: set_nat > list_set_nat > multiset_set_nat). 4.69/4.95 thf(decl_55, type, dual_dual_blocks_a: set_a > list_set_a > multiset_set_nat). 4.69/4.95 thf(decl_56, type, dual_o8986524474409978987at_int: list_mat_int > list_set_mat_int > list_set_nat). 4.69/4.95 thf(decl_57, type, dual_o3626907557146915082ed_nat: list_nat > list_set_nat > list_set_nat). 4.69/4.95 thf(decl_58, type, dual_o3932053356075857088et_nat: list_set_nat > list_set_set_nat > list_set_nat). 4.69/4.95 thf(decl_59, type, dual_o4933617792991179172_set_a: list_set_a > list_set_set_a > list_set_nat). 4.69/4.95 thf(decl_60, type, dual_o8653602421375082564ered_a: list_a > list_set_a > list_set_nat). 4.69/4.95 thf(decl_61, type, finite_card_int: set_int > nat). 4.69/4.95 thf(decl_62, type, finite_card_mat_int: set_mat_int > nat). 4.69/4.95 thf(decl_63, type, finite_card_nat: set_nat > nat). 4.69/4.95 thf(decl_64, type, finite_card_set_nat: set_set_nat > nat). 4.69/4.95 thf(decl_65, type, finite_card_set_a: set_set_a > nat). 4.69/4.95 thf(decl_66, type, finite_card_a: set_a > nat). 4.69/4.95 thf(decl_67, type, finite_finite_nat: set_nat > $o). 4.69/4.95 thf(decl_68, type, finite1152437895449049373et_nat: set_set_nat > $o). 4.69/4.95 thf(decl_69, type, finite_finite_set_a: set_set_a > $o). 4.69/4.95 thf(decl_70, type, finite_finite_a: set_a > $o). 4.69/4.95 thf(decl_71, type, inj_on_int_int: (int > int) > set_int > $o). 4.69/4.95 thf(decl_72, type, inj_on_int_mat_int: (int > mat_int) > set_int > $o). 4.69/4.95 thf(decl_73, type, inj_on_int_nat: (int > nat) > set_int > $o). 4.69/4.95 thf(decl_74, type, inj_on_int_set_nat: (int > set_nat) > set_int > $o). 4.69/4.95 thf(decl_75, type, inj_on_int_set_a: (int > set_a) > set_int > $o). 4.69/4.95 thf(decl_76, type, inj_on_int_a: (int > a) > set_int > $o). 4.69/4.95 thf(decl_77, type, inj_on_mat_int_nat: (mat_int > nat) > set_mat_int > $o). 4.69/4.95 thf(decl_78, type, inj_on_mat_int_a: (mat_int > a) > set_mat_int > $o). 4.69/4.95 thf(decl_79, type, inj_on_nat_mat_int: (nat > mat_int) > set_nat > $o). 4.69/4.95 thf(decl_80, type, inj_on_nat_nat: (nat > nat) > set_nat > $o). 4.69/4.95 thf(decl_81, type, inj_on_nat_set_nat: (nat > set_nat) > set_nat > $o). 4.69/4.95 thf(decl_82, type, inj_on_nat_set_a: (nat > set_a) > set_nat > $o). 4.69/4.95 thf(decl_83, type, inj_on_nat_a: (nat > a) > set_nat > $o). 4.69/4.95 thf(decl_84, type, inj_on_set_nat_nat: (set_nat > nat) > set_set_nat > $o). 4.69/4.95 thf(decl_85, type, inj_on_set_nat_a: (set_nat > a) > set_set_nat > $o). 4.69/4.95 thf(decl_86, type, inj_on_a_nat: (a > nat) > set_a > $o). 4.69/4.95 thf(decl_87, type, inj_on_a_a: (a > a) > set_a > $o). 4.69/4.95 thf(decl_88, type, minus_minus_int: int > int > int). 4.69/4.95 thf(decl_89, type, minus_minus_mat_int: mat_int > mat_int > mat_int). 4.69/4.95 thf(decl_90, type, minus_minus_mat_nat: mat_nat > mat_nat > mat_nat). 4.69/4.95 thf(decl_91, type, minus_6025431102612251238et_nat: mat_set_nat > mat_set_nat > mat_set_nat). 4.69/4.95 thf(decl_92, type, minus_1898248485076814356_set_a: mat_set_a > mat_set_a > mat_set_a). 4.69/4.95 thf(decl_93, type, minus_7191636474979098322at_int: multiset_mat_int > multiset_mat_int > multiset_mat_int). 4.69/4.95 thf(decl_94, type, minus_8522176038001411705et_nat: multiset_nat > multiset_nat > multiset_nat). 4.69/4.95 thf(decl_95, type, minus_7237264121398869807et_nat: multiset_set_nat > multiset_set_nat > multiset_set_nat). 4.69/4.95 thf(decl_96, type, minus_706656509937749387_set_a: multiset_set_a > multiset_set_a > multiset_set_a). 4.69/4.95 thf(decl_97, type, minus_3765977307040488491iset_a: multiset_a > multiset_a > multiset_a). 4.69/4.95 thf(decl_98, type, minus_minus_nat: nat > nat > nat). 4.69/4.95 thf(decl_99, type, minus_minus_set_int: set_int > set_int > set_int). 4.69/4.95 thf(decl_100, type, minus_7323808874771660652at_int: set_mat_int > set_mat_int > set_mat_int). 4.69/4.95 thf(decl_101, type, minus_minus_set_nat: set_nat > set_nat > set_nat). 4.69/4.95 thf(decl_102, type, minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat). 4.69/4.95 thf(decl_103, type, minus_5736297505244876581_set_a: set_set_a > set_set_a > set_set_a). 4.69/4.95 thf(decl_104, type, minus_minus_set_a: set_a > set_a > set_a). 4.69/4.95 thf(decl_105, type, one_one_int: int). 4.69/4.95 thf(decl_106, type, one_one_nat: nat). 4.69/4.95 thf(decl_107, type, plus_plus_nat: nat > nat > nat). 4.69/4.95 thf(decl_108, type, times_times_int: int > int > int). 4.69/4.95 thf(decl_109, type, times_times_mat_int: mat_int > mat_int > mat_int). 4.69/4.95 thf(decl_110, type, times_times_nat: nat > nat > nat). 4.69/4.95 thf(decl_111, type, zero_zero_int: int). 4.69/4.95 thf(decl_112, type, zero_z3170743180189231877et_int: multiset_int). 4.69/4.95 thf(decl_113, type, zero_z2372785188122801826at_int: multiset_mat_int). 4.69/4.95 thf(decl_114, type, zero_z7348594199698428585et_nat: multiset_nat). 4.69/4.95 thf(decl_115, type, zero_z3157962936165190495et_nat: multiset_set_nat). 4.69/4.95 thf(decl_116, type, zero_z5079479921072680283_set_a: multiset_set_a). 4.69/4.95 thf(decl_117, type, zero_zero_multiset_a: multiset_a). 4.69/4.95 thf(decl_118, type, zero_zero_nat: nat). 4.69/4.95 thf(decl_119, type, incide2177336610602889285nt_int: list_int > list_set_int > mat_int). 4.69/4.95 thf(decl_120, type, incide3858514174538764966nt_int: list_mat_int > list_set_mat_int > mat_int). 4.69/4.95 thf(decl_121, type, incide1177982898701834729at_int: list_nat > list_set_nat > mat_int). 4.69/4.95 thf(decl_122, type, incide8356258661762153887at_int: list_set_nat > list_set_set_nat > mat_int). 4.69/4.95 thf(decl_123, type, incide2330559700202178271_a_int: list_set_a > list_set_set_a > mat_int). 4.69/4.95 thf(decl_124, type, incide7016682120514301311_a_int: list_a > list_set_a > mat_int). 4.69/4.95 thf(decl_125, type, incide8019310070229209863nt_nat: mat_int > set_nat > multiset_set_nat > $o). 4.69/4.95 thf(decl_126, type, incide3487307869859529607_int_a: mat_int > set_a > multiset_set_a > $o). 4.69/4.95 thf(decl_127, type, incide7086334917823153261ze_int: mat_int > nat > nat). 4.69/4.95 thf(decl_128, type, incide7000514267430604580um_int: mat_int > nat > nat). 4.69/4.95 thf(decl_129, type, incide6851923868969248411ol_int: mat_int > nat > $o). 4.69/4.95 thf(decl_130, type, incide6854414339478298687ol_nat: mat_nat > nat > $o). 4.69/4.95 thf(decl_131, type, incide6996049454332333349em_int: list_int > list_set_int > $o). 4.69/4.95 thf(decl_132, type, incide5645884169446961644at_int: list_mat_int > list_set_mat_int > $o). 4.69/4.95 thf(decl_133, type, incide6998539924841383625em_nat: list_nat > list_set_nat > $o). 4.69/4.95 thf(decl_134, type, incide937065307065650815et_nat: list_set_nat > list_set_set_nat > $o). 4.69/4.95 thf(decl_135, type, incide2166342132139297189_set_a: list_set_a > list_set_set_a > $o). 4.69/4.95 thf(decl_136, type, incide1624170830610365509stem_a: list_a > list_set_a > $o). 4.69/4.95 thf(decl_137, type, incide4964164200581851450ix_int: mat_int > $o). 4.69/4.95 thf(decl_138, type, incide4966654671090901726ix_nat: mat_nat > $o). 4.69/4.95 thf(decl_139, type, incide6080938071136783841_1_int: mat_int > $o). 4.69/4.95 thf(decl_140, type, sup_sup_set_nat: set_nat > set_nat > set_nat). 4.69/4.95 thf(decl_141, type, distinct_int: list_int > $o). 4.69/4.95 thf(decl_142, type, distinct_mat_int: list_mat_int > $o). 4.69/4.95 thf(decl_143, type, distinct_nat: list_nat > $o). 4.69/4.95 thf(decl_144, type, distinct_set_nat: list_set_nat > $o). 4.69/4.95 thf(decl_145, type, distinct_set_a: list_set_a > $o). 4.69/4.95 thf(decl_146, type, distinct_a: list_a > $o). 4.69/4.95 thf(decl_147, type, map_set_nat_set_nat: (set_nat > set_nat) > list_set_nat > list_set_nat). 4.69/4.95 thf(decl_148, type, map_set_a_set_a: (set_a > set_a) > list_set_a > list_set_a). 4.69/4.95 thf(decl_149, type, set_int2: list_int > set_int). 4.69/4.95 thf(decl_150, type, set_mat_int2: list_mat_int > set_mat_int). 4.69/4.95 thf(decl_151, type, set_nat2: list_nat > set_nat). 4.69/4.95 thf(decl_152, type, set_set_nat2: list_set_nat > set_set_nat). 4.69/4.95 thf(decl_153, type, set_set_a2: list_set_a > set_set_a). 4.69/4.95 thf(decl_154, type, set_a2: list_a > set_a). 4.69/4.95 thf(decl_155, type, nth_int: list_int > nat > int). 4.69/4.95 thf(decl_156, type, nth_mat_int: list_mat_int > nat > mat_int). 4.69/4.95 thf(decl_157, type, nth_nat: list_nat > nat > nat). 4.69/4.95 thf(decl_158, type, nth_set_int: list_set_int > nat > set_int). 4.69/4.95 thf(decl_159, type, nth_set_mat_int: list_set_mat_int > nat > set_mat_int). 4.69/4.95 thf(decl_160, type, nth_set_nat: list_set_nat > nat > set_nat). 4.69/4.95 thf(decl_161, type, nth_set_set_nat: list_set_set_nat > nat > set_set_nat). 4.69/4.95 thf(decl_162, type, nth_set_set_a: list_set_set_a > nat > set_set_a). 4.69/4.95 thf(decl_163, type, nth_set_a: list_set_a > nat > set_a). 4.69/4.95 thf(decl_164, type, nth_a: list_a > nat > a). 4.69/4.95 thf(decl_165, type, upt: nat > nat > list_nat). 4.69/4.95 thf(decl_166, type, carrier_mat_int: nat > nat > set_mat_int). 4.69/4.95 thf(decl_167, type, carrier_mat_mat_int: nat > nat > set_mat_mat_int). 4.69/4.95 thf(decl_168, type, carrier_mat_nat: nat > nat > set_mat_nat). 4.69/4.95 thf(decl_169, type, carrier_mat_set_nat: nat > nat > set_mat_set_nat). 4.69/4.95 thf(decl_170, type, carrier_mat_set_a: nat > nat > set_mat_set_a). 4.69/4.95 thf(decl_171, type, carrier_mat_a: nat > nat > set_mat_a). 4.69/4.95 thf(decl_172, type, diagonal_mat_int: mat_int > $o). 4.69/4.95 thf(decl_173, type, diagon1740072056067280149et_nat: mat_multiset_set_nat > $o). 4.69/4.95 thf(decl_174, type, diagon4347857732587040037_set_a: mat_multiset_set_a > $o). 4.69/4.95 thf(decl_175, type, diagonal_mat_nat: mat_nat > $o). 4.69/4.95 thf(decl_176, type, dim_col_int: mat_int > nat). 4.69/4.95 thf(decl_177, type, dim_col_mat_int: mat_mat_int > nat). 4.69/4.95 thf(decl_178, type, dim_co666528008742863420et_nat: mat_multiset_set_nat > nat). 4.69/4.95 thf(decl_179, type, dim_co635400365623784382_set_a: mat_multiset_set_a > nat). 4.69/4.95 thf(decl_180, type, dim_col_nat: mat_nat > nat). 4.69/4.95 thf(decl_181, type, dim_col_set_int: mat_set_int > nat). 4.69/4.95 thf(decl_182, type, dim_col_set_nat: mat_set_nat > nat). 4.69/4.95 thf(decl_183, type, dim_col_set_a: mat_set_a > nat). 4.69/4.95 thf(decl_184, type, dim_col_a: mat_a > nat). 4.69/4.95 thf(decl_185, type, dim_row_int: mat_int > nat). 4.69/4.95 thf(decl_186, type, dim_row_mat_int: mat_mat_int > nat). 4.69/4.95 thf(decl_187, type, dim_ro1461273042745283030et_nat: mat_multiset_set_nat > nat). 4.69/4.95 thf(decl_188, type, dim_ro6918480157128890020_set_a: mat_multiset_set_a > nat). 4.69/4.95 thf(decl_189, type, dim_row_nat: mat_nat > nat). 4.69/4.95 thf(decl_190, type, dim_row_set_int: mat_set_int > nat). 4.69/4.95 thf(decl_191, type, dim_row_set_nat: mat_set_nat > nat). 4.69/4.95 thf(decl_192, type, dim_row_set_a: mat_set_a > nat). 4.69/4.95 thf(decl_193, type, dim_row_a: mat_a > nat). 4.69/4.95 thf(decl_194, type, elements_mat_int: mat_int > set_int). 4.69/4.95 thf(decl_195, type, elements_mat_mat_int: mat_mat_int > set_mat_int). 4.69/4.95 thf(decl_196, type, elements_mat_nat: mat_nat > set_nat). 4.69/4.95 thf(decl_197, type, elements_mat_set_nat: mat_set_nat > set_set_nat). 4.69/4.95 thf(decl_198, type, elements_mat_set_a: mat_set_a > set_set_a). 4.69/4.95 thf(decl_199, type, elements_mat_a: mat_a > set_a). 4.69/4.95 thf(decl_200, type, index_mat_int: mat_int > product_prod_nat_nat > int). 4.69/4.95 thf(decl_201, type, index_mat_mat_int: mat_mat_int > product_prod_nat_nat > mat_int). 4.69/4.95 thf(decl_202, type, index_521861505322780754et_nat: mat_multiset_set_nat > product_prod_nat_nat > multiset_set_nat). 4.69/4.95 thf(decl_203, type, index_635119080598013736_set_a: mat_multiset_set_a > product_prod_nat_nat > multiset_set_a). 4.69/4.95 thf(decl_204, type, index_mat_nat: mat_nat > product_prod_nat_nat > nat). 4.69/4.95 thf(decl_205, type, index_mat_set_int: mat_set_int > product_prod_nat_nat > set_int). 4.69/4.95 thf(decl_206, type, index_mat_set_nat: mat_set_nat > product_prod_nat_nat > set_nat). 4.69/4.95 thf(decl_207, type, index_mat_set_a: mat_set_a > product_prod_nat_nat > set_a). 4.69/4.95 thf(decl_208, type, index_mat_a: mat_a > product_prod_nat_nat > a). 4.69/4.95 thf(decl_209, type, transpose_mat_int: mat_int > mat_int). 4.69/4.95 thf(decl_210, type, transpose_mat_nat: mat_nat > mat_nat). 4.69/4.95 thf(decl_211, type, update_mat_int: mat_int > product_prod_nat_nat > int > mat_int). 4.69/4.95 thf(decl_212, type, matrix323868623736973467nt_int: mat_int > mat_int). 4.69/4.95 thf(decl_213, type, matrix326359094246023743nt_nat: mat_int > mat_nat). 4.69/4.95 thf(decl_214, type, matrix8547886948690694719at_int: mat_nat > mat_int). 4.69/4.95 thf(decl_215, type, matrix8550377419199744995at_nat: mat_nat > mat_nat). 4.69/4.95 thf(decl_216, type, mset_mat_int: list_mat_int > multiset_mat_int). 4.69/4.95 thf(decl_217, type, mset_nat: list_nat > multiset_nat). 4.69/4.95 thf(decl_218, type, mset_set_int: list_set_int > multiset_set_int). 4.69/4.95 thf(decl_219, type, mset_set_mat_int: list_set_mat_int > multiset_set_mat_int). 4.69/4.95 thf(decl_220, type, mset_set_nat: list_set_nat > multiset_set_nat). 4.69/4.95 thf(decl_221, type, mset_set_set_nat: list_set_set_nat > multiset_set_set_nat). 4.69/4.95 thf(decl_222, type, mset_set_set_a: list_set_set_a > multiset_set_set_a). 4.69/4.95 thf(decl_223, type, mset_set_a: list_set_a > multiset_set_a). 4.69/4.95 thf(decl_224, type, mset_a: list_a > multiset_a). 4.69/4.95 thf(decl_225, type, set_mset_int: multiset_int > set_int). 4.69/4.95 thf(decl_226, type, set_mset_mat_int: multiset_mat_int > set_mat_int). 4.69/4.95 thf(decl_227, type, set_mset_nat: multiset_nat > set_nat). 4.69/4.95 thf(decl_228, type, set_mset_set_int: multiset_set_int > set_set_int). 4.69/4.95 thf(decl_229, type, set_mset_set_mat_int: multiset_set_mat_int > set_set_mat_int). 4.69/4.95 thf(decl_230, type, set_mset_set_nat: multiset_set_nat > set_set_nat). 4.69/4.95 thf(decl_231, type, set_mset_set_set_nat: multiset_set_set_nat > set_set_set_nat). 4.69/4.95 thf(decl_232, type, set_mset_set_set_a: multiset_set_set_a > set_set_set_a). 4.69/4.95 thf(decl_233, type, set_mset_set_a: multiset_set_a > set_set_a). 4.69/4.95 thf(decl_234, type, set_mset_a: multiset_a > set_a). 4.69/4.95 thf(decl_235, type, size_size_list_int: list_int > nat). 4.69/4.95 thf(decl_236, type, size_s6799427505661098007at_int: list_mat_int > nat). 4.69/4.95 thf(decl_237, type, size_size_list_nat: list_nat > nat). 4.69/4.95 thf(decl_238, type, size_s763970886550748294et_int: list_set_int > nat). 4.69/4.95 thf(decl_239, type, size_s8684085272224229751at_int: list_set_mat_int > nat). 4.69/4.95 thf(decl_240, type, size_s3254054031482475050et_nat: list_set_nat > nat). 4.69/4.95 thf(decl_241, type, size_s9147771571064797152et_nat: list_set_set_nat > nat). 4.69/4.95 thf(decl_242, type, size_s7045802815848406192_set_a: list_set_set_a > nat). 4.69/4.95 thf(decl_243, type, size_size_list_set_a: list_set_a > nat). 4.69/4.95 thf(decl_244, type, size_size_list_a: list_a > nat). 4.69/4.95 thf(decl_245, type, size_s5917832649809541300et_nat: multiset_nat > nat). 4.69/4.95 thf(decl_246, type, size_s4972352931543265222et_int: multiset_set_int > nat). 4.69/4.95 thf(decl_247, type, size_s4286076471399589431at_int: multiset_set_mat_int > nat). 4.69/4.95 thf(decl_248, type, size_s7462436076474991978et_nat: multiset_set_nat > nat). 4.69/4.95 thf(decl_249, type, size_s2124668467691399968et_nat: multiset_set_set_nat > nat). 4.69/4.95 thf(decl_250, type, size_s5830485025544567152_set_a: multiset_set_set_a > nat). 4.69/4.95 thf(decl_251, type, size_s6566526139600085008_set_a: multiset_set_a > nat). 4.69/4.95 thf(decl_252, type, size_size_multiset_a: multiset_a > nat). 4.69/4.95 thf(decl_253, type, bot_bot_set_int: set_int). 4.69/4.95 thf(decl_254, type, bot_bot_set_nat: set_nat). 4.69/4.95 thf(decl_255, type, bot_bot_set_set_nat: set_set_nat). 4.69/4.95 thf(decl_256, type, bot_bot_set_set_a: set_set_a). 4.69/4.95 thf(decl_257, type, bot_bot_set_a: set_a). 4.69/4.95 thf(decl_258, type, ord_less_int: int > int > $o). 4.69/4.95 thf(decl_259, type, ord_less_nat: nat > nat > $o). 4.69/4.95 thf(decl_260, type, ord_less_set_nat: set_nat > set_nat > $o). 4.69/4.95 thf(decl_261, type, ord_less_set_a: set_a > set_a > $o). 4.69/4.95 thf(decl_262, type, ord_less_eq_int: int > int > $o). 4.69/4.95 thf(decl_263, type, ord_less_eq_mat_int: mat_int > mat_int > $o). 4.69/4.95 thf(decl_264, type, ord_less_eq_mat_nat: mat_nat > mat_nat > $o). 4.69/4.95 thf(decl_265, type, ord_le1510577980415592571et_int: mat_set_int > mat_set_int > $o). 4.69/4.95 thf(decl_266, type, ord_le4000661125347319327et_nat: mat_set_nat > mat_set_nat > $o). 4.69/4.95 thf(decl_267, type, ord_le459279366328847003_set_a: mat_set_a > mat_set_a > $o). 4.69/4.95 thf(decl_268, type, ord_less_eq_nat: nat > nat > $o). 4.69/4.95 thf(decl_269, type, ord_less_eq_set_int: set_int > set_int > $o). 4.69/4.95 thf(decl_270, type, ord_le5299038897506728741at_int: set_mat_int > set_mat_int > $o). 4.69/4.95 thf(decl_271, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 4.69/4.95 thf(decl_272, type, ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o). 4.69/4.95 thf(decl_273, type, ord_le3724670747650509150_set_a: set_set_a > set_set_a > $o). 4.69/4.95 thf(decl_274, type, ord_less_eq_set_a: set_a > set_a > $o). 4.69/4.95 thf(decl_275, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 4.69/4.95 thf(decl_276, type, produc4207506657711014383et_nat: nat > set_nat > produc2400336064389900727et_nat). 4.69/4.95 thf(decl_277, type, product_Pair_a_set_a: a > set_a > product_prod_a_set_a). 4.69/4.95 thf(decl_278, type, collect_mat_int: (mat_int > $o) > set_mat_int). 4.69/4.95 thf(decl_279, type, collect_nat: (nat > $o) > set_nat). 4.69/4.95 thf(decl_280, type, collect_set_nat: (set_nat > $o) > set_set_nat). 4.69/4.95 thf(decl_281, type, collect_set_a: (set_a > $o) > set_set_a). 4.69/4.95 thf(decl_282, type, collect_a: (a > $o) > set_a). 4.69/4.95 thf(decl_283, type, image_int_mat_int: (int > mat_int) > set_int > set_mat_int). 4.69/4.95 thf(decl_284, type, image_int_nat: (int > nat) > set_int > set_nat). 4.69/4.95 thf(decl_285, type, image_int_set_nat: (int > set_nat) > set_int > set_set_nat). 4.69/4.95 thf(decl_286, type, image_int_set_a: (int > set_a) > set_int > set_set_a). 4.69/4.95 thf(decl_287, type, image_int_a: (int > a) > set_int > set_a). 4.69/4.95 thf(decl_288, type, image_mat_int_nat: (mat_int > nat) > set_mat_int > set_nat). 4.69/4.95 thf(decl_289, type, image_mat_int_a: (mat_int > a) > set_mat_int > set_a). 4.69/4.95 thf(decl_290, type, image_nat_int: (nat > int) > set_nat > set_int). 4.69/4.95 thf(decl_291, type, image_nat_mat_int: (nat > mat_int) > set_nat > set_mat_int). 4.69/4.95 thf(decl_292, type, image_nat_nat: (nat > nat) > set_nat > set_nat). 4.69/4.95 thf(decl_293, type, image_nat_set_nat: (nat > set_nat) > set_nat > set_set_nat). 4.69/4.95 thf(decl_294, type, image_nat_set_a: (nat > set_a) > set_nat > set_set_a). 4.69/4.95 thf(decl_295, type, image_nat_a: (nat > a) > set_nat > set_a). 4.69/4.95 thf(decl_296, type, image_set_nat_nat: (set_nat > nat) > set_set_nat > set_nat). 4.69/4.95 thf(decl_297, type, image_set_nat_a: (set_nat > a) > set_set_nat > set_a). 4.69/4.95 thf(decl_298, type, image_a_nat: (a > nat) > set_a > set_nat). 4.69/4.95 thf(decl_299, type, image_a_a: (a > a) > set_a > set_a). 4.69/4.95 thf(decl_300, type, insert_int: int > set_int > set_int). 4.69/4.95 thf(decl_301, type, insert_mat_int: mat_int > set_mat_int > set_mat_int). 4.69/4.95 thf(decl_302, type, insert_nat: nat > set_nat > set_nat). 4.69/4.95 thf(decl_303, type, insert_set_nat: set_nat > set_set_nat > set_set_nat). 4.69/4.95 thf(decl_304, type, insert_set_a: set_a > set_set_a > set_set_a). 4.69/4.95 thf(decl_305, type, insert_a: a > set_a > set_a). 4.69/4.95 thf(decl_306, type, set_or4665077453230672383an_nat: nat > nat > set_nat). 4.69/4.95 thf(decl_307, type, set_ord_lessThan_nat: nat > set_nat). 4.69/4.95 thf(decl_308, type, sub_su5953739893325741765em_nat: set_nat > multiset_set_nat > set_nat > multiset_set_nat > $o). 4.69/4.95 thf(decl_309, type, member_int: int > set_int > $o). 4.69/4.95 thf(decl_310, type, member_mat_int: mat_int > set_mat_int > $o). 4.69/4.95 thf(decl_311, type, member_mat_mat_int: mat_mat_int > set_mat_mat_int > $o). 4.69/4.95 thf(decl_312, type, member_mat_nat: mat_nat > set_mat_nat > $o). 4.69/4.95 thf(decl_313, type, member_mat_set_nat: mat_set_nat > set_mat_set_nat > $o). 4.69/4.95 thf(decl_314, type, member_mat_set_a: mat_set_a > set_mat_set_a > $o). 4.69/4.95 thf(decl_315, type, member_mat_a: mat_a > set_mat_a > $o). 4.69/4.95 thf(decl_316, type, member_nat: nat > set_nat > $o). 4.69/4.95 thf(decl_317, type, member3782324328723991648et_nat: produc2400336064389900727et_nat > set_Pr400265656397884439et_nat > $o). 4.69/4.95 thf(decl_318, type, member4771970882521526448_set_a: product_prod_a_set_a > set_Pr6393634178297680487_set_a > $o). 4.69/4.95 thf(decl_319, type, member_set_int: set_int > set_set_int > $o). 4.69/4.95 thf(decl_320, type, member_set_mat_int: set_mat_int > set_set_mat_int > $o). 4.69/4.95 thf(decl_321, type, member_set_nat: set_nat > set_set_nat > $o). 4.69/4.95 thf(decl_322, type, member_set_set_nat: set_set_nat > set_set_set_nat > $o). 4.69/4.95 thf(decl_323, type, member_set_set_a: set_set_a > set_set_set_a > $o). 4.69/4.95 thf(decl_324, type, member_set_a: set_a > set_set_a > $o). 4.69/4.95 thf(decl_325, type, member_a: a > set_a > $o). 4.69/4.95 thf(decl_326, type, b_s: list_set_a). 4.69/4.95 thf(decl_327, type, v_s: list_a). 4.69/4.95 thf(decl_328, type, i: nat). 4.69/4.95 thf(decl_329, type, j: nat). 4.69/4.95 thf(decl_330, type, esk1_2: mat_int > mat_int > nat). 4.69/4.95 thf(decl_331, type, esk2_2: mat_int > mat_int > nat). 4.69/4.95 thf(decl_332, type, esk3_1: (product_prod_nat_nat > $o) > nat). 4.69/4.95 thf(decl_333, type, esk4_1: (product_prod_nat_nat > $o) > nat). 4.69/4.95 thf(decl_334, type, esk5_1: product_prod_nat_nat > nat). 4.69/4.95 thf(decl_335, type, esk6_1: product_prod_nat_nat > nat). 4.69/4.95 thf(decl_336, type, esk7_1: product_prod_nat_nat > nat). 4.69/4.95 thf(decl_337, type, esk8_1: product_prod_nat_nat > nat). 4.69/4.95 thf(decl_338, type, esk9_1: nat > list_set_a). 4.69/4.95 thf(decl_339, type, esk10_1: (list_set_a > $o) > list_set_a). 4.69/4.95 thf(decl_340, type, esk11_1: (nat > $o) > nat). 4.69/4.95 thf(decl_341, type, esk12_1: nat > nat). 4.69/4.95 thf(decl_342, type, esk13_1: nat > nat). 4.69/4.95 thf(decl_343, type, esk14_2: list_nat > set_nat > nat). 4.69/4.95 thf(decl_344, type, esk15_2: nat > (nat > $o) > nat). 4.69/4.95 thf(decl_345, type, esk16_2: nat > (nat > $o) > nat). 4.69/4.95 thf(decl_346, type, esk17_2: nat > (nat > $o) > nat). 4.69/4.95 thf(decl_347, type, esk18_2: nat > (nat > $o) > nat). 4.69/4.95 thf(decl_348, type, esk19_2: list_set_nat > list_set_nat > nat). 4.69/4.95 thf(decl_349, type, esk20_2: nat > (nat > set_nat > $o) > nat). 4.69/4.95 thf(decl_350, type, esk21_2: nat > (nat > set_nat > $o) > list_set_nat). 4.69/4.95 thf(decl_351, type, esk22_3: nat > (nat > set_nat > $o) > list_set_nat > nat). 4.69/4.95 thf(decl_352, type, esk23_3: nat > (nat > set_nat > $o) > nat > set_nat). 4.69/4.95 thf(decl_353, type, esk24_1: set_nat > nat). 4.69/4.95 thf(decl_354, type, esk25_1: set_nat > nat). 4.69/4.95 thf(decl_355, type, esk26_3: list_nat > list_set_nat > set_nat > nat). 4.69/4.95 thf(decl_356, type, esk27_3: list_nat > list_set_nat > set_nat > nat). 4.69/4.95 thf(decl_357, type, esk28_3: nat > list_set_nat > (set_nat > $o) > set_nat). 4.69/4.95 thf(decl_358, type, esk29_2: set_nat > list_set_nat > nat). 4.69/4.95 thf(decl_359, type, esk30_2: list_set_nat > (set_nat > $o) > nat). 4.69/4.95 thf(decl_360, type, esk31_2: list_set_nat > (set_nat > $o) > set_nat). 4.69/4.95 thf(decl_361, type, esk32_2: list_set_nat > (set_nat > $o) > nat). 4.69/4.95 thf(decl_362, type, esk33_3: list_set_nat > nat > (set_nat > $o) > nat). 4.69/4.95 thf(decl_363, type, esk34_3: list_set_nat > nat > (set_nat > $o) > set_nat). 4.69/4.95 thf(decl_364, type, esk35_2: nat > (set_nat > nat > $o) > nat). 4.69/4.95 thf(decl_365, type, esk36_2: nat > (set_nat > nat > $o) > list_set_nat). 4.69/4.95 thf(decl_366, type, esk37_2: list_set_nat > (set_nat > $o) > nat). 4.69/4.95 thf(decl_367, type, esk38_2: list_set_nat > (set_nat > $o) > set_nat). 4.69/4.95 thf(decl_368, type, esk39_1: set_nat > nat). 4.69/4.95 thf(decl_369, type, esk40_2: list_nat > list_nat > nat). 4.69/4.95 thf(decl_370, type, esk41_2: nat > (nat > nat > $o) > nat). 4.69/4.95 thf(decl_371, type, esk42_2: nat > (nat > nat > $o) > list_nat). 4.69/4.95 thf(decl_372, type, esk43_3: nat > (nat > nat > $o) > list_nat > nat). 4.69/4.95 thf(decl_373, type, esk44_3: nat > (nat > nat > $o) > nat > nat). 4.69/4.95 thf(decl_374, type, esk45_2: list_nat > set_nat > nat). 4.69/4.95 thf(decl_375, type, esk46_2: set_nat > nat > nat). 4.69/4.95 thf(decl_376, type, esk47_4: list_nat > list_set_nat > set_nat > nat > nat). 4.69/4.95 thf(decl_377, type, esk48_3: nat > list_nat > (nat > $o) > nat). 4.69/4.95 thf(decl_378, type, esk49_2: nat > list_nat > nat). 4.69/4.95 thf(decl_379, type, esk50_2: list_nat > (nat > $o) > nat). 4.69/4.95 thf(decl_380, type, esk51_2: list_nat > (nat > $o) > nat). 4.69/4.95 thf(decl_381, type, esk52_2: list_nat > (nat > $o) > nat). 4.69/4.95 thf(decl_382, type, esk53_2: list_nat > nat > nat). 4.69/4.95 thf(decl_383, type, esk54_2: list_nat > nat > nat). 4.69/4.95 thf(decl_384, type, esk55_2: set_nat > nat > nat). 4.69/4.95 thf(decl_385, type, esk56_4: set_nat > list_nat > nat > list_set_nat > nat). 4.69/4.95 thf(decl_386, type, esk57_4: list_nat > list_set_nat > set_nat > nat > nat). 4.69/4.95 thf(decl_387, type, esk58_3: list_nat > nat > (nat > $o) > nat). 4.69/4.95 thf(decl_388, type, esk59_3: list_nat > nat > (nat > $o) > nat). 4.69/4.95 thf(decl_389, type, esk60_2: nat > (nat > nat > $o) > nat). 4.69/4.95 thf(decl_390, type, esk61_2: nat > (nat > nat > $o) > list_nat). 4.69/4.95 thf(decl_391, type, esk62_2: list_nat > (nat > $o) > nat). 4.69/4.95 thf(decl_392, type, esk63_2: list_nat > (nat > $o) > nat). 4.69/4.95 thf(decl_393, type, esk64_1: (nat > $o) > nat). 4.69/4.95 thf(decl_394, type, esk65_1: (nat > $o) > nat). 4.69/4.95 thf(decl_395, type, esk66_4: list_a > list_set_a > set_a > a > nat). 4.69/4.95 thf(decl_396, type, esk67_2: set_a > a > nat). 4.69/4.95 thf(decl_397, type, esk68_3: nat > list_a > (a > $o) > a). 4.69/4.95 thf(decl_398, type, esk69_2: a > list_a > nat). 4.69/4.95 thf(decl_399, type, esk70_2: list_a > (a > $o) > nat). 4.69/4.95 thf(decl_400, type, esk71_2: list_a > (a > $o) > a). 4.69/4.95 thf(decl_401, type, esk72_2: list_a > (a > $o) > nat). 4.69/4.95 thf(decl_402, type, esk73_2: list_a > a > nat). 4.69/4.95 thf(decl_403, type, esk74_2: list_a > a > nat). 4.69/4.95 thf(decl_404, type, esk75_1: a > nat). 4.69/4.95 thf(decl_405, type, esk76_1: a > nat). 4.69/4.95 thf(decl_406, type, esk77_3: list_a > nat > (a > $o) > nat). 4.69/4.95 thf(decl_407, type, esk78_3: list_a > nat > (a > $o) > a). 4.69/4.95 thf(decl_408, type, esk79_2: list_a > (a > $o) > nat). 4.69/4.95 thf(decl_409, type, esk80_2: list_a > (a > $o) > a). 4.69/4.95 thf(decl_410, type, esk81_2: list_set_a > list_set_a > nat). 4.69/4.95 thf(decl_411, type, esk82_2: nat > (nat > set_a > $o) > nat). 4.69/4.95 thf(decl_412, type, esk83_2: nat > (nat > set_a > $o) > list_set_a). 4.69/4.95 thf(decl_413, type, esk84_3: nat > (nat > set_a > $o) > list_set_a > nat). 4.69/4.95 thf(decl_414, type, esk85_3: nat > (nat > set_a > $o) > nat > set_a). 4.69/4.95 thf(decl_415, type, esk86_3: list_a > list_set_a > set_a > nat). 4.69/4.95 thf(decl_416, type, esk87_3: list_a > list_set_a > set_a > nat). 4.69/4.95 thf(decl_417, type, esk88_1: set_a > nat). 4.69/4.95 thf(decl_418, type, esk89_1: set_a > nat). 4.69/4.95 thf(decl_419, type, esk90_3: nat > list_set_a > (set_a > $o) > set_a). 4.69/4.95 thf(decl_420, type, esk91_2: set_a > list_set_a > nat). 4.69/4.95 thf(decl_421, type, esk92_2: list_set_a > (set_a > $o) > nat). 4.69/4.95 thf(decl_422, type, esk93_2: list_set_a > (set_a > $o) > set_a). 4.69/4.95 thf(decl_423, type, esk94_2: list_set_a > (set_a > $o) > nat). 4.69/4.95 thf(decl_424, type, esk95_3: list_set_a > nat > (set_a > $o) > nat). 4.69/4.95 thf(decl_425, type, esk96_3: list_set_a > nat > (set_a > $o) > set_a). 4.69/4.95 thf(decl_426, type, esk97_2: nat > (set_a > nat > $o) > nat). 4.69/4.95 thf(decl_427, type, esk98_2: nat > (set_a > nat > $o) > list_set_a). 4.69/4.95 thf(decl_428, type, esk99_2: list_set_a > (set_a > $o) > nat). 4.69/4.95 thf(decl_429, type, esk100_2: list_set_a > (set_a > $o) > set_a). 4.69/4.95 thf(decl_430, type, esk101_2: list_a > list_a > nat). 4.69/4.95 thf(decl_431, type, esk102_2: nat > (nat > a > $o) > nat). 4.69/4.95 thf(decl_432, type, esk103_2: nat > (nat > a > $o) > list_a). 4.69/4.95 thf(decl_433, type, esk104_3: nat > (nat > a > $o) > list_a > nat). 4.69/4.95 thf(decl_434, type, esk105_3: nat > (nat > a > $o) > nat > a). 4.69/4.95 thf(decl_435, type, esk106_2: list_a > set_nat > nat). 4.69/4.95 thf(decl_436, type, esk107_1: set_nat > nat). 4.69/4.95 thf(decl_437, type, esk108_2: set_nat > nat > nat). 4.69/4.95 thf(decl_438, type, esk109_4: set_nat > list_a > nat > list_set_a > nat). 4.69/4.95 thf(decl_439, type, esk110_4: list_a > list_set_a > set_nat > nat > nat). 4.69/4.95 thf(decl_440, type, esk111_2: nat > (a > nat > $o) > nat). 4.69/4.95 thf(decl_441, type, esk112_2: nat > (a > nat > $o) > list_a). 4.69/4.95 thf(decl_442, type, esk113_1: multiset_set_nat > list_set_nat). 4.69/4.95 thf(decl_443, type, esk114_1: nat > list_set_nat). 4.69/4.95 thf(decl_444, type, esk115_1: (list_set_nat > $o) > list_set_nat). 4.69/4.95 thf(decl_445, type, esk116_1: list_nat > nat). 4.69/4.95 thf(decl_446, type, esk117_1: list_nat > nat). 4.69/4.95 thf(decl_447, type, esk118_2: list_nat > set_nat > nat). 4.69/4.95 thf(decl_448, type, esk119_1: nat > list_nat). 4.69/4.95 thf(decl_449, type, esk120_1: (list_nat > $o) > list_nat). 4.69/4.95 thf(decl_450, type, esk121_2: list_nat > nat > nat). 4.69/4.95 thf(decl_451, type, esk122_1: list_a > nat). 4.69/4.95 thf(decl_452, type, esk123_1: list_a > nat). 4.69/4.95 thf(decl_453, type, esk124_2: list_a > set_nat > nat). 4.69/4.95 thf(decl_454, type, esk125_1: nat > list_a). 4.69/4.95 thf(decl_455, type, esk126_1: (list_a > $o) > list_a). 4.69/4.95 thf(decl_456, type, esk127_2: list_a > a > nat). 4.69/4.95 thf(decl_457, type, esk128_1: multiset_set_a > list_set_a). 4.69/4.95 thf(decl_458, type, esk129_2: list_set_a > list_a > set_a). 4.69/4.95 thf(decl_459, type, esk130_2: list_set_nat > list_nat > set_nat). 4.69/4.95 thf(decl_460, type, esk131_1: nat > set_nat). 4.69/4.95 thf(decl_461, type, esk132_1: nat > set_nat). 4.69/4.95 thf(decl_462, type, esk133_1: nat > set_nat). 4.69/4.95 thf(decl_463, type, esk134_2: (nat > $o) > nat > nat). 4.69/4.95 thf(decl_464, type, esk135_1: (nat > $o) > nat). 4.69/4.95 thf(decl_465, type, esk136_1: (nat > nat) > nat). 4.69/4.95 thf(decl_466, type, esk137_1: (nat > nat) > nat). 4.69/4.95 thf(decl_467, type, esk138_2: (nat > $o) > nat > nat). 4.69/4.95 thf(decl_468, type, esk139_2: set_nat > set_nat > nat). 4.69/4.95 thf(decl_469, type, esk140_2: set_nat > set_nat > nat). 4.69/4.95 thf(decl_470, type, esk141_2: set_nat > set_nat > nat). 4.69/4.95 thf(decl_471, type, esk142_2: set_nat > set_nat > nat). 4.69/4.95 thf(decl_472, type, esk143_2: set_nat > set_nat > nat). 4.69/4.95 thf(decl_473, type, esk144_2: set_nat > set_nat > nat). 4.69/4.95 thf(decl_474, type, esk145_2: list_set_nat > set_nat > nat). 4.69/4.95 thf(decl_475, type, esk146_2: list_set_nat > set_nat > nat). 4.69/4.95 thf(decl_476, type, esk147_2: list_set_nat > set_nat > nat). 4.69/4.95 thf(decl_477, type, esk148_4: list_set_nat > list_set_set_nat > set_nat > nat > nat). 4.69/4.95 thf(decl_478, type, esk149_3: set_nat > (nat > nat) > (nat > nat) > nat). 4.69/4.95 thf(decl_479, type, esk150_3: set_nat > (nat > nat) > (nat > nat) > nat). 4.69/4.95 thf(decl_480, type, esk151_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_481, type, esk152_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_482, type, esk153_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_483, type, esk154_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_484, type, esk155_3: set_nat > (nat > nat) > (nat > nat) > nat). 4.69/4.95 thf(decl_485, type, esk156_3: set_nat > (nat > nat) > (nat > nat) > nat). 4.69/4.95 thf(decl_486, type, esk157_3: set_nat > (nat > a) > (nat > nat) > nat). 4.69/4.95 thf(decl_487, type, esk158_3: set_nat > (nat > a) > (nat > nat) > nat). 4.69/4.95 thf(decl_488, type, esk159_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_489, type, esk160_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_490, type, esk161_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_491, type, esk162_2: set_nat > (nat > nat) > nat). 4.69/4.95 thf(decl_492, type, esk163_4: set_nat > list_mat_int > nat > list_set_mat_int > nat). 4.69/4.95 thf(decl_493, type, esk164_4: set_nat > list_set_nat > nat > list_set_set_nat > nat). 4.69/4.95 thf(decl_494, type, esk165_4: set_nat > list_set_a > nat > list_set_set_a > nat). 4.69/4.95 thf(decl_495, type, esk166_4: list_mat_int > list_set_mat_int > set_nat > nat > nat). 4.69/4.95 thf(decl_496, type, esk167_4: list_set_a > list_set_set_a > set_nat > nat > nat). 4.69/4.95 thf(decl_497, type, esk168_2: nat > nat > nat). 4.69/4.95 thf(decl_498, type, esk169_1: (nat > nat) > nat). 4.69/4.95 thf(decl_499, type, esk170_1: (nat > nat) > nat). 4.69/4.95 thf(decl_500, type, esk171_2: mat_int > list_mat_int > nat). 4.69/4.95 thf(decl_501, type, esk172_2: list_mat_int > (mat_int > $o) > nat). 4.69/4.95 thf(decl_502, type, esk173_2: list_mat_int > mat_int > nat). 4.69/4.95 thf(decl_503, type, esk174_2: list_mat_int > mat_int > nat). 4.69/4.95 thf(decl_504, type, esk175_1: multiset_set_a > set_a). 4.69/4.95 thf(decl_505, type, esk176_0: set_a). 4.69/4.95 thf(decl_506, type, esk177_2: list_set_a > set_a > nat). 4.69/4.95 thf(decl_507, type, esk178_2: list_set_a > set_a > nat). 4.69/4.95 thf(decl_508, type, esk179_2: list_set_a > set_a > nat). 4.69/4.95 thf(decl_509, type, esk180_3: set_nat > (a > nat) > (nat > a) > nat). 4.69/4.95 thf(decl_510, type, esk181_3: set_nat > (nat > a) > (nat > a) > nat). 4.69/4.95 thf(decl_511, type, esk182_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_512, type, esk183_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_513, type, esk184_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_514, type, esk185_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_515, type, esk186_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_516, type, esk187_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_517, type, esk188_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_518, type, esk189_2: set_nat > (nat > a) > nat). 4.69/4.95 thf(decl_519, type, esk190_0: set_nat). 4.69/4.95 thf(decl_520, type, esk191_1: multiset_set_nat > set_nat). 4.69/4.95 thf(decl_521, type, esk192_0: set_nat). 4.69/4.95 thf(decl_522, type, esk193_0: set_nat). 4.69/4.95 thf(decl_523, type, esk194_1: nat > set_nat). 4.69/4.95 thf(decl_524, type, esk195_1: set_nat > set_nat). 4.69/4.95 thf(decl_525, type, esk196_1: nat > set_nat). 4.69/4.95 thf(decl_526, type, esk197_1: set_nat > set_nat). 4.69/4.95 thf(decl_527, type, esk198_1: nat > set_nat). 4.69/4.95 thf(decl_528, type, esk199_1: set_nat > set_nat). 4.69/4.95 thf(decl_529, type, esk200_2: list_a > set_a > a). 4.69/4.95 thf(decl_530, type, esk201_1: set_a > set_a). 4.69/4.95 thf(decl_531, type, esk202_2: set_a > set_a > a). 4.69/4.95 thf(decl_532, type, esk203_2: set_a > set_a > a). 4.69/4.95 thf(decl_533, type, esk204_2: list_int > set_int > int). 4.69/4.95 thf(decl_534, type, esk205_2: int > mat_int > nat). 4.69/4.95 thf(decl_535, type, esk206_2: int > mat_int > nat). 4.69/4.95 thf(decl_536, type, esk207_1: set_nat > set_nat). 4.69/4.95 thf(decl_537, type, esk208_1: set_nat > set_nat). 4.69/4.95 thf(decl_538, type, esk209_1: set_nat > set_nat). 4.69/4.95 thf(decl_539, type, esk210_1: nat > nat). 4.69/4.95 thf(decl_540, type, esk211_1: nat > nat). 4.69/4.95 thf(decl_541, type, esk212_1: nat > nat). 4.69/4.95 thf(decl_542, type, esk213_1: list_set_nat > nat). 4.69/4.95 thf(decl_543, type, esk214_1: list_set_nat > nat). 4.69/4.95 thf(decl_544, type, esk215_2: nat > mat_nat > nat). 4.69/4.95 thf(decl_545, type, esk216_2: nat > mat_nat > nat). 4.69/4.95 thf(decl_546, type, esk217_1: list_set_a > nat). 4.69/4.95 thf(decl_547, type, esk218_1: list_set_a > nat). 4.69/4.95 thf(decl_548, type, esk219_1: nat > set_nat). 4.69/4.95 thf(decl_549, type, esk220_1: nat > set_nat). 4.69/4.95 thf(decl_550, type, esk221_1: nat > set_nat). 4.69/4.95 thf(decl_551, type, esk222_1: nat > set_a). 4.69/4.95 thf(decl_552, type, esk223_1: a > set_a). 4.69/4.95 thf(decl_553, type, esk224_2: list_set_int > list_int > set_int). 4.69/4.95 thf(decl_554, type, esk225_0: set_a > nat > $o). 4.69/4.95 thf(decl_555, type, esk226_0: nat > set_a > $o). 4.69/4.95 thf(decl_556, type, esk227_2: nat > nat > nat). 4.69/4.95 thf(decl_557, type, esk228_2: nat > nat > nat). 4.69/4.95 thf(decl_558, type, esk229_2: list_nat > list_set_nat > set_nat). 4.69/4.95 thf(decl_559, type, esk230_2: list_int > list_set_int > set_int). 4.69/4.95 thf(decl_560, type, esk231_2: list_a > list_set_a > set_a). 4.69/4.95 thf(decl_561, type, esk232_2: list_nat > list_set_nat > set_nat). 4.69/4.95 thf(decl_562, type, esk233_2: list_int > list_set_int > set_int). 4.69/4.95 thf(decl_563, type, esk234_2: list_a > list_set_a > set_a). 4.69/4.95 thf(decl_564, type, esk235_2: list_set_a > list_set_a > nat). 4.69/4.95 thf(decl_565, type, esk236_2: list_set_nat > list_set_nat > nat). 4.69/4.95 thf(decl_566, type, esk237_2: list_nat > list_nat > nat). 4.69/4.95 thf(decl_567, type, esk238_2: list_set_a > list_set_a > nat). 4.69/4.95 thf(decl_568, type, esk239_2: list_set_nat > list_set_nat > nat). 4.69/4.95 thf(decl_569, type, esk240_2: list_nat > list_nat > nat). 4.69/4.95 thf(decl_570, type, esk241_2: list_a > list_a > nat). 4.69/4.95 thf(decl_571, type, esk242_2: (nat > nat) > set_nat > nat). 4.69/4.95 thf(decl_572, type, esk243_2: (nat > nat) > set_nat > nat). 4.69/4.95 thf(decl_573, type, esk244_2: (nat > a) > set_nat > nat). 4.69/4.95 thf(decl_574, type, esk245_2: (nat > a) > set_nat > nat). 4.69/4.95 thf(decl_575, type, esk246_2: list_a > list_a > nat). 4.69/4.95 thf(decl_576, type, esk247_2: (nat > nat) > set_nat > nat). 4.69/4.95 thf(decl_577, type, esk248_2: (nat > nat) > set_nat > nat). 4.69/4.95 thf(decl_578, type, esk249_2: (nat > a) > set_nat > nat). 4.69/4.95 thf(decl_579, type, esk250_2: (nat > a) > set_nat > nat). 4.69/4.95 thf(decl_580, type, esk251_1: list_set_nat > nat). 4.69/4.95 thf(decl_581, type, esk252_1: list_set_nat > nat). 4.69/4.95 thf(decl_582, type, esk253_1: list_set_a > nat). 4.69/4.95 thf(decl_583, type, esk254_1: list_set_a > nat). 4.69/4.95 thf(decl_584, type, esk255_1: list_nat > nat). 4.69/4.95 thf(decl_585, type, esk256_1: list_nat > nat). 4.69/4.95 thf(decl_586, type, esk257_1: list_a > nat). 4.69/4.95 thf(decl_587, type, esk258_1: list_a > nat). 4.69/4.95 thf(decl_588, type, esk259_2: mat_int > mat_int > nat). 4.69/4.95 thf(decl_589, type, esk260_2: mat_int > mat_int > nat). 4.69/4.95 thf(decl_590, type, esk261_2: mat_int > mat_int > nat). 4.69/4.95 thf(decl_591, type, esk262_2: mat_int > mat_int > nat). 4.69/4.95 thf(fact_379_ordered__dual__sys_Omatrix__point__not__in__block__iff, axiom, ![X68:nat, X70:nat]:(((ord_less_nat @ X68 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))))=>((ord_less_nat @ X70 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))))=>(((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X68 @ X70))=(zero_zero_int))<=>~((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X68) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X70))))))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_379_ordered__dual__sys_Omatrix__point__not__in__block__iff)). 4.69/4.95 thf(fact_254_size__mset, axiom, ![X178:list_set_nat]:(((size_s7462436076474991978et_nat @ (mset_set_nat @ X178))=(size_s3254054031482475050et_nat @ X178))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_254_size__mset)). 4.69/4.95 thf(fact_856_length__upt, axiom, ![X68:nat, X70:nat]:(((size_size_list_nat @ (upt @ X68 @ X70))=(minus_minus_nat @ X70 @ X68))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_856_length__upt)). 4.69/4.95 thf(fact_812_diff__zero, axiom, ![X11:nat]:(((minus_minus_nat @ X11 @ zero_zero_nat)=(X11))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_812_diff__zero)). 4.69/4.95 thf(conj_0, conjecture, (((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))=>((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))=(one_one_int)))&(~((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j)))=>((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))=(zero_zero_int)))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', conj_0)). 4.69/4.95 thf(fact_376_ordered__dual__sys_Omatrix__point__in__block__iff, axiom, ![X68:nat, X70:nat]:(((ord_less_nat @ X68 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))))=>((ord_less_nat @ X70 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))))=>(((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X68 @ X70))=(one_one_int))<=>(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X68) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X70)))))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_376_ordered__dual__sys_Omatrix__point__in__block__iff)). 4.69/4.95 thf(fact_99_dual__blocks__len, axiom, ((size_s3254054031482475050et_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))=(size_size_list_a @ v_s)), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_99_dual__blocks__len)). 4.69/4.95 thf(fact_383_ordered__dual__sys_Opoints__list__length, axiom, ((size_size_list_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))=(finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s))))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_383_ordered__dual__sys_Opoints__list__length)). 4.69/4.95 thf(fact_502_jlt2, axiom, (ord_less_nat @ j @ (finite_card_a @ (set_a2 @ v_s))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_502_jlt2)). 4.69/4.95 thf(fact_495_points__list__length, axiom, ((size_size_list_a @ v_s)=(finite_card_a @ (set_a2 @ v_s))), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_495_points__list__length)). 4.69/4.95 thf(fact_5_ilt2, axiom, (ord_less_nat @ i @ (size_size_list_set_a @ b_s)), file('/export/starexec/sandbox/tmp/tmp.6NRfkGxmDs/Vampire---4.8_13019', fact_5_ilt2)). 4.69/4.95 thf(c_0_11, plain, ![X68:nat, X70:nat]:(((ord_less_nat @ X68 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))))=>((ord_less_nat @ X70 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))))=>(((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X68 @ X70))=(zero_zero_int))<=>~(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X68) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X70)))))), inference(fof_simplification,[status(thm)],[fact_379_ordered__dual__sys_Omatrix__point__not__in__block__iff])). 4.69/4.95 thf(c_0_12, plain, ![X3814:nat, X3815:nat]:(((((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X3814 @ X3815))!=(zero_zero_int))|~(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X3814) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X3815))|~(ord_less_nat @ X3815 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))))|~(ord_less_nat @ X3814 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s))))))&((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X3814) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X3815))|((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X3814 @ X3815))=(zero_zero_int))|~(ord_less_nat @ X3815 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))))|~(ord_less_nat @ X3814 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 4.69/4.95 thf(c_0_13, plain, ![X4762:list_set_nat]:(((size_s7462436076474991978et_nat @ (mset_set_nat @ X4762))=(size_s3254054031482475050et_nat @ X4762))), inference(variable_rename,[status(thm)],[fact_254_size__mset])). 4.69/4.95 thf(c_0_14, plain, ![X4849:nat, X4850:nat]:(((size_size_list_nat @ (upt @ X4849 @ X4850))=(minus_minus_nat @ X4850 @ X4849))), inference(variable_rename,[status(thm)],[fact_856_length__upt])). 4.69/4.95 thf(c_0_15, plain, ![X5789:nat]:(((minus_minus_nat @ X5789 @ zero_zero_nat)=(X5789))), inference(variable_rename,[status(thm)],[fact_812_diff__zero])). 4.69/4.95 thf(c_0_16, negated_conjecture, ~((((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))=>((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))=(one_one_int)))&(~(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))=>((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))=(zero_zero_int))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 4.69/4.95 thf(c_0_17, plain, ![X4070:nat, X4071:nat]:(((((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X4070 @ X4071))!=(one_one_int))|(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X4070) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X4071))|~(ord_less_nat @ X4071 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))))|~(ord_less_nat @ X4070 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s))))))&(~(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X4070) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X4071))|((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X4070 @ X4071))=(one_one_int))|~(ord_less_nat @ X4071 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))))|~(ord_less_nat @ X4070 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_376_ordered__dual__sys_Omatrix__point__in__block__iff])])])). 4.69/4.95 thf(c_0_18, plain, ![X2:nat, X1:nat]:(((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X1) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X2))|((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X1 @ X2))=(zero_zero_int))|~((ord_less_nat @ X2 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s)))))|~((ord_less_nat @ X1 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))))))), inference(split_conjunct,[status(thm)],[c_0_12])). 4.69/4.95 thf(c_0_19, plain, ![X26:list_set_nat]:(((size_s7462436076474991978et_nat @ (mset_set_nat @ X26))=(size_s3254054031482475050et_nat @ X26))), inference(split_conjunct,[status(thm)],[c_0_13])). 4.69/4.95 thf(c_0_20, plain, ((size_s3254054031482475050et_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s))=(size_size_list_a @ v_s)), inference(split_conjunct,[status(thm)],[fact_99_dual__blocks__len])). 4.69/4.95 thf(c_0_21, plain, ((size_size_list_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))=(finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s))))), inference(split_conjunct,[status(thm)],[fact_383_ordered__dual__sys_Opoints__list__length])). 4.69/4.95 thf(c_0_22, plain, ![X2:nat, X1:nat]:(((size_size_list_nat @ (upt @ X1 @ X2))=(minus_minus_nat @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 4.69/4.95 thf(c_0_23, plain, ![X1:nat]:(((minus_minus_nat @ X1 @ zero_zero_nat)=(X1))), inference(split_conjunct,[status(thm)],[c_0_15])). 4.69/4.95 thf(c_0_24, plain, (ord_less_nat @ j @ (finite_card_a @ (set_a2 @ v_s))), inference(split_conjunct,[status(thm)],[fact_502_jlt2])). 4.69/4.95 thf(c_0_25, plain, ((size_size_list_a @ v_s)=(finite_card_a @ (set_a2 @ v_s))), inference(split_conjunct,[status(thm)],[fact_495_points__list__length])). 4.69/4.95 thf(c_0_26, negated_conjecture, (((~(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))|(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j)))&(((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))!=(zero_zero_int))|(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))))&((~(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))|((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))!=(one_one_int)))&(((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))!=(zero_zero_int))|((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))!=(one_one_int))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])). 4.69/4.95 thf(c_0_27, plain, ![X2:nat, X1:nat]:((((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X1 @ X2))=(one_one_int))|~((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X1) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X2)))|~((ord_less_nat @ X2 @ (size_s7462436076474991978et_nat @ (mset_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s)))))|~((ord_less_nat @ X1 @ (finite_card_nat @ (set_nat2 @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)))))))), inference(split_conjunct,[status(thm)],[c_0_17])). 4.69/4.95 thf(c_0_28, plain, ![X2:nat, X1:nat]:((((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X1 @ X2))=(zero_zero_int))|(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X1) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X2))|~((ord_less_nat @ X2 @ (size_size_list_a @ v_s)))|~((ord_less_nat @ X1 @ (size_size_list_set_a @ b_s))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])). 4.69/4.95 thf(c_0_29, plain, (ord_less_nat @ j @ (size_size_list_a @ v_s)), inference(rw,[status(thm)],[c_0_24, c_0_25])). 4.69/4.95 thf(c_0_30, negated_conjecture, (~((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j)))|((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))!=(one_one_int))), inference(split_conjunct,[status(thm)],[c_0_26])). 4.69/4.95 thf(c_0_31, plain, ![X2:nat, X1:nat]:((((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X1 @ X2))=(one_one_int))|~((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X1) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ X2)))|~((ord_less_nat @ X2 @ (size_size_list_a @ v_s)))|~((ord_less_nat @ X1 @ (size_size_list_set_a @ b_s))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])). 4.69/4.95 thf(c_0_32, plain, (ord_less_nat @ i @ (size_size_list_set_a @ b_s)), inference(split_conjunct,[status(thm)],[fact_5_ilt2])). 4.69/4.95 thf(c_0_33, plain, ![X1:nat]:((((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ X1 @ j))=(zero_zero_int))|(member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ X1) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))|~((ord_less_nat @ X1 @ (size_size_list_set_a @ b_s))))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 4.69/4.95 thf(c_0_34, negated_conjecture, ~((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_29]), c_0_32])])). 4.69/4.95 thf(c_0_35, plain, ((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))=(zero_zero_int)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_32]), c_0_34])). 4.69/4.95 thf(c_0_36, negated_conjecture, ((member_nat @ (nth_nat @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ i) @ (nth_set_nat @ (dual_o8653602421375082564ered_a @ v_s @ b_s) @ j))|((index_mat_int @ (incide1177982898701834729at_int @ (upt @ zero_zero_nat @ (size_size_list_set_a @ b_s)) @ (dual_o8653602421375082564ered_a @ v_s @ b_s)) @ (product_Pair_nat_nat @ i @ j))!=(zero_zero_int))), inference(split_conjunct,[status(thm)],[c_0_26])). 4.69/4.95 thf(c_0_37, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_35, c_0_36, c_0_34]), ['proof']). 4.69/4.95 # SZS output end CNFRefutation 4.69/4.95 # Parsed axioms : 1633 4.69/4.95 # Removed by relevancy pruning/SinE : 564 4.69/4.95 # Initial clauses : 1668 4.69/4.95 # Removed in clause preprocessing : 68 4.69/4.95 # Initial clauses in saturation : 1600 4.69/4.95 # Processed clauses : 10258 4.69/4.95 # ...of these trivial : 287 4.69/4.95 # ...subsumed : 4971 4.69/4.95 # ...remaining for further processing : 5000 4.69/4.95 # Other redundant clauses eliminated : 750 4.69/4.95 # Clauses deleted for lack of memory : 0 4.69/4.95 # Backward-subsumed : 85 4.69/4.95 # Backward-rewritten : 98 4.69/4.95 # Generated clauses : 107411 4.69/4.95 # ...of the previous two non-redundant : 97569 4.69/4.95 # ...aggressively subsumed : 0 4.69/4.95 # Contextual simplify-reflections : 72 4.69/4.95 # Paramodulations : 106151 4.69/4.95 # Factorizations : 221 4.69/4.95 # NegExts : 0 4.69/4.95 # Equation resolutions : 819 4.69/4.95 # Propositional unsat checks : 1 4.69/4.95 # Propositional check models : 0 4.69/4.95 # Propositional check unsatisfiable : 1 4.69/4.95 # Propositional clauses : 93330 4.69/4.95 # Propositional clauses after purity: 23817 4.69/4.95 # Propositional unsat core size : 3 4.69/4.95 # Propositional preprocessing time : 0.000 4.69/4.95 # Propositional encoding time : 0.281 4.69/4.95 # Propositional solver time : 0.026 4.69/4.95 # Success case prop preproc time : 0.000 4.69/4.95 # Success case prop encoding time : 0.281 4.69/4.95 # Success case prop solver time : 0.026 4.69/4.95 # Current number of processed clauses : 3420 4.69/4.95 # Positive orientable unit clauses : 383 4.69/4.95 # Positive unorientable unit clauses: 7 4.69/4.95 # Negative unit clauses : 146 4.69/4.95 # Non-unit-clauses : 2884 4.69/4.95 # Current number of unprocessed clauses: 89910 4.69/4.95 # ...number of literals in the above : 300329 4.69/4.95 # Current number of archived formulas : 0 4.69/4.95 # Current number of archived clauses : 1476 4.69/4.95 # Clause-clause subsumption calls (NU) : 934036 4.69/4.95 # Rec. Clause-clause subsumption calls : 511576 4.69/4.95 # Non-unit clause-clause subsumptions : 2299 4.69/4.95 # Unit Clause-clause subsumption calls : 46579 4.69/4.95 # Rewrite failures with RHS unbound : 0 4.69/4.95 # BW rewrite match attempts : 403 4.69/4.95 # BW rewrite match successes : 224 4.69/4.95 # Condensation attempts : 0 4.69/4.95 # Condensation successes : 0 4.69/4.95 # Termbank termtop insertions : 3232173 4.69/4.95 4.69/4.95 # ------------------------------------------------- 4.69/4.95 # User time : 4.071 s 4.69/4.95 # System time : 0.119 s 4.69/4.95 # Total time : 4.190 s 4.69/4.95 # Maximum resident set size: 11048 pages 4.69/4.95 4.69/4.95 # ------------------------------------------------- 4.69/4.95 # User time : 4.132 s 4.69/4.95 # System time : 0.123 s 4.69/4.95 # Total time : 4.256 s 4.69/4.95 # Maximum resident set size: 4656 pages 4.69/4.95 EOF