0.07/0.12 % Problem : SLH533^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.14 % Command : run_E %s %d THM 0.14/0.35 % Computer : n020.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 30 0.14/0.35 % WCLimit : 30 0.14/0.35 % DateTime : Tue Aug 9 03:11:35 EDT 2022 0.14/0.35 % CPUTime : 0.21/0.48 The problem SPC is TH0_THM_EQU_NAR 0.21/0.48 Running higher-order on 1 cores theorem proving 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=1 --cpu-limit=30 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.48 # Version: 3.0pre003-ho 0.35/0.62 # Preprocessing class: HSLSSMSSSSSNSFA. 0.35/0.62 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.62 # Starting new_ho_11 with 30s (1) cores 0.35/0.62 # new_ho_11 with pid 7787 completed with status 0 0.35/0.62 # Result found by new_ho_11 0.35/0.62 # Preprocessing class: HSLSSMSSSSSNSFA. 0.35/0.62 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.62 # Starting new_ho_11 with 30s (1) cores 0.35/0.62 # No SInE strategy applied 0.35/0.62 # Search class: HGHSM-FSLF31-MSFFFSBN 0.35/0.62 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.35/0.62 # Starting new_ho_10 with 17s (1) cores 0.35/0.62 # new_ho_10 with pid 7788 completed with status 0 0.35/0.62 # Result found by new_ho_10 0.35/0.62 # Preprocessing class: HSLSSMSSSSSNSFA. 0.35/0.62 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.62 # Starting new_ho_11 with 30s (1) cores 0.35/0.62 # No SInE strategy applied 0.35/0.62 # Search class: HGHSM-FSLF31-MSFFFSBN 0.35/0.62 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.35/0.62 # Starting new_ho_10 with 17s (1) cores 0.35/0.62 # Preprocessing time : 0.007 s 0.35/0.62 # Presaturation interreduction done 0.35/0.62 0.35/0.62 # Proof found! 0.35/0.62 # SZS status Theorem 0.35/0.62 # SZS output start CNFRefutation 0.35/0.62 thf(decl_22, type, plus_plus_nat: nat > nat > nat). 0.35/0.62 thf(decl_23, type, times_times_nat: nat > nat > nat). 0.35/0.62 thf(decl_24, type, zero_zero_nat: nat). 0.35/0.62 thf(decl_25, type, list_strict_asc_nat: list_nat > $o). 0.35/0.62 thf(decl_26, type, list_strict_desc_nat: list_nat > $o). 0.35/0.62 thf(decl_27, type, listSl703198822list_a: list_list_a > nat > list_list_list_a). 0.35/0.62 thf(decl_28, type, listSl882585454e2_nat: list_nat > nat > list_list_nat). 0.35/0.62 thf(decl_29, type, listSl1139903241od_a_a: list_P1467822637od_a_a > nat > list_l1108175539od_a_a). 0.35/0.62 thf(decl_30, type, listSl1174287072ice2_a: list_a > nat > list_list_a). 0.35/0.62 thf(decl_31, type, listSl2102238196list_a: list_list_list_a > nat > list_l2071841302list_a). 0.35/0.62 thf(decl_32, type, listSl162220270list_a: list_list_a > nat > list_list_list_a). 0.35/0.62 thf(decl_33, type, listSl1630398182ce_nat: list_nat > nat > list_list_nat). 0.35/0.62 thf(decl_34, type, listSl1110195467st_a_a: list_P1512795175st_a_a > nat > list_l1630101037st_a_a). 0.35/0.62 thf(decl_35, type, listSl1758207767list_a: list_P1893926963list_a > nat > list_l1673245753list_a). 0.35/0.62 thf(decl_36, type, listSl325319057od_a_a: list_P1467822637od_a_a > nat > list_l1108175539od_a_a). 0.35/0.62 thf(decl_37, type, listSl97544552lice_a: list_a > nat > list_list_a). 0.35/0.62 thf(decl_38, type, listSl856612276list_a: list_list_a > nat > nat > list_list_list_a). 0.35/0.62 thf(decl_39, type, listSl1794011552ux_nat: list_nat > nat > nat > list_list_nat). 0.35/0.62 thf(decl_40, type, listSl1273197399od_a_a: list_P1467822637od_a_a > nat > nat > list_l1108175539od_a_a). 0.35/0.62 thf(decl_41, type, listSl1495374126_aux_a: list_a > nat > nat > list_list_a). 0.35/0.62 thf(decl_42, type, gen_length_list_a: nat > list_list_a > nat). 0.35/0.62 thf(decl_43, type, gen_length_nat: nat > list_nat > nat). 0.35/0.62 thf(decl_44, type, gen_le1211443258od_a_a: nat > list_P1467822637od_a_a > nat). 0.35/0.62 thf(decl_45, type, gen_length_a: nat > list_a > nat). 0.35/0.62 thf(decl_46, type, nth_list_list_list_a: list_l2071841302list_a > nat > list_list_list_a). 0.35/0.62 thf(decl_47, type, nth_list_list_a: list_list_list_a > nat > list_list_a). 0.35/0.62 thf(decl_48, type, nth_list_nat: list_list_nat > nat > list_nat). 0.35/0.62 thf(decl_49, type, nth_li1784395950st_a_a: list_l1630101037st_a_a > nat > list_P1512795175st_a_a). 0.35/0.62 thf(decl_50, type, nth_li18044090list_a: list_l1673245753list_a > nat > list_P1893926963list_a). 0.35/0.62 thf(decl_51, type, nth_li1989586484od_a_a: list_l1108175539od_a_a > nat > list_P1467822637od_a_a). 0.35/0.62 thf(decl_52, type, nth_list_a: list_list_a > nat > list_a). 0.35/0.62 thf(decl_53, type, nth_nat: list_nat > nat > nat). 0.35/0.62 thf(decl_54, type, nth_Pr1788454690st_a_a: list_P2121224865st_a_a > nat > produc1516853915st_a_a). 0.35/0.62 thf(decl_55, type, nth_Pr1135663022list_a: list_P601816365list_a > nat > produc864062247list_a). 0.35/0.62 thf(decl_56, type, nth_Pr27755452_a_nat: list_P1215869331_a_nat > nat > produc2104238979_a_nat). 0.35/0.62 thf(decl_57, type, nth_Pr1243818408st_a_a: list_P1512795175st_a_a > nat > produc722054561st_a_a). 0.35/0.62 thf(decl_58, type, nth_Pr447756386list_a: list_P1378186041list_a > nat > produc376756265list_a). 0.35/0.62 thf(decl_59, type, nth_Pr693875720at_nat: list_P559422087at_nat > nat > product_prod_nat_nat). 0.35/0.62 thf(decl_60, type, nth_Pr482440284_nat_a: list_P1673353267_nat_a > nat > product_prod_nat_a). 0.35/0.62 thf(decl_61, type, nth_Pr1891830708list_a: list_P1893926963list_a > nat > produc1370066861list_a). 0.35/0.62 thf(decl_62, type, nth_Pr417038134_a_nat: list_P1254856205_a_nat > nat > product_prod_a_nat). 0.35/0.62 thf(decl_63, type, nth_Product_prod_a_a: list_P1467822637od_a_a > nat > product_prod_a_a). 0.35/0.62 thf(decl_64, type, nth_a: list_a > nat > a). 0.35/0.62 thf(decl_65, type, produc1278946617st_a_a: list_list_list_a > list_a > list_P2121224865st_a_a). 0.35/0.62 thf(decl_66, type, produc165544645list_a: list_list_a > list_list_a > list_P601816365list_a). 0.35/0.62 thf(decl_67, type, product_list_a_nat: list_list_a > list_nat > list_P1215869331_a_nat). 0.35/0.62 thf(decl_68, type, product_list_a_a: list_list_a > list_a > list_P1512795175st_a_a). 0.35/0.62 thf(decl_69, type, product_nat_list_a: list_nat > list_list_a > list_P1378186041list_a). 0.35/0.62 thf(decl_70, type, product_nat_nat: list_nat > list_nat > list_P559422087at_nat). 0.35/0.62 thf(decl_71, type, product_nat_a: list_nat > list_a > list_P1673353267_nat_a). 0.35/0.62 thf(decl_72, type, product_a_list_a: list_a > list_list_a > list_P1893926963list_a). 0.35/0.62 thf(decl_73, type, product_a_nat: list_a > list_nat > list_P1254856205_a_nat). 0.35/0.62 thf(decl_74, type, produc16441326od_a_a: list_a > list_P1467822637od_a_a > list_P1458844246od_a_a). 0.35/0.62 thf(decl_75, type, product_a_a: list_a > list_a > list_P1467822637od_a_a). 0.35/0.62 thf(decl_76, type, rotate_list_list_a: nat > list_list_list_a > list_list_list_a). 0.35/0.62 thf(decl_77, type, rotate_list_a: nat > list_list_a > list_list_a). 0.35/0.62 thf(decl_78, type, rotate_nat: nat > list_nat > list_nat). 0.35/0.62 thf(decl_79, type, rotate1234734811st_a_a: nat > list_P1512795175st_a_a > list_P1512795175st_a_a). 0.35/0.62 thf(decl_80, type, rotate1882747111list_a: nat > list_P1893926963list_a > list_P1893926963list_a). 0.35/0.62 thf(decl_81, type, rotate2118087521od_a_a: nat > list_P1467822637od_a_a > list_P1467822637od_a_a). 0.35/0.62 thf(decl_82, type, rotate_a: nat > list_a > list_a). 0.35/0.62 thf(decl_83, type, size_s575106428list_a: list_list_list_a > nat). 0.35/0.62 thf(decl_84, type, size_s1898481668st_nat: list_list_nat > nat). 0.35/0.62 thf(decl_85, type, size_s800644895od_a_a: list_l1108175539od_a_a > nat). 0.35/0.62 thf(decl_86, type, size_s1427607542list_a: list_list_a > nat). 0.35/0.62 thf(decl_87, type, size_size_list_nat: list_nat > nat). 0.35/0.62 thf(decl_88, type, size_s1018121113list_a: list_P601816365list_a > nat). 0.35/0.62 thf(decl_89, type, size_s638532135_a_nat: list_P1215869331_a_nat > nat). 0.35/0.62 thf(decl_90, type, size_s1205264531st_a_a: list_P1512795175st_a_a > nat). 0.35/0.62 thf(decl_91, type, size_s800848845list_a: list_P1378186041list_a > nat). 0.35/0.62 thf(decl_92, type, size_s1990949619at_nat: list_P559422087at_nat > nat). 0.35/0.62 thf(decl_93, type, size_s588266183_nat_a: list_P1673353267_nat_a > nat). 0.35/0.62 thf(decl_94, type, size_s1586396319list_a: list_P1893926963list_a > nat). 0.35/0.62 thf(decl_95, type, size_s169769121_a_nat: list_P1254856205_a_nat > nat). 0.35/0.62 thf(decl_96, type, size_s1875148994od_a_a: list_P1458844246od_a_a > nat). 0.35/0.62 thf(decl_97, type, size_s642698393od_a_a: list_P1467822637od_a_a > nat). 0.35/0.62 thf(decl_98, type, size_size_list_a: list_a > nat). 0.35/0.62 thf(decl_99, type, ord_less_nat: nat > nat > $o). 0.35/0.62 thf(decl_100, type, produc414274955st_a_a: list_list_a > a > produc1516853915st_a_a). 0.35/0.62 thf(decl_101, type, produc1448356631list_a: list_a > list_a > produc864062247list_a). 0.35/0.62 thf(decl_102, type, produc1177744381_a_nat: list_a > nat > produc2104238979_a_nat). 0.35/0.62 thf(decl_103, type, produc389755921st_a_a: list_a > a > produc722054561st_a_a). 0.35/0.62 thf(decl_104, type, produc1448200667list_a: nat > list_a > produc376756265list_a). 0.35/0.62 thf(decl_105, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 0.35/0.62 thf(decl_106, type, product_Pair_nat_a: nat > a > product_prod_nat_a). 0.35/0.62 thf(decl_107, type, produc577157917list_a: a > list_a > produc1370066861list_a). 0.35/0.62 thf(decl_108, type, product_Pair_a_nat: a > nat > product_prod_a_nat). 0.35/0.62 thf(decl_109, type, product_Pair_a_a: a > a > product_prod_a_a). 0.35/0.62 thf(decl_110, type, divide_divide_nat: nat > nat > nat). 0.35/0.62 thf(decl_111, type, modulo_modulo_nat: nat > nat > nat). 0.35/0.62 thf(decl_112, type, k: nat). 0.35/0.62 thf(decl_113, type, m: nat). 0.35/0.62 thf(decl_114, type, n: nat). 0.35/0.62 thf(decl_115, type, xs: list_a). 0.35/0.62 thf(decl_116, type, esk1_2: list_P1512795175st_a_a > list_P1512795175st_a_a > nat). 0.35/0.62 thf(decl_117, type, esk2_2: list_P1893926963list_a > list_P1893926963list_a > nat). 0.35/0.62 thf(decl_118, type, esk3_2: list_list_list_a > list_list_list_a > nat). 0.35/0.62 thf(decl_119, type, esk4_2: list_nat > list_nat > nat). 0.35/0.62 thf(decl_120, type, esk5_2: list_P1467822637od_a_a > list_P1467822637od_a_a > nat). 0.35/0.62 thf(decl_121, type, esk6_2: list_list_a > list_list_a > nat). 0.35/0.62 thf(decl_122, type, esk7_2: list_a > list_a > nat). 0.35/0.62 thf(decl_123, type, esk8_2: nat > (nat > produc722054561st_a_a > $o) > nat). 0.35/0.62 thf(decl_124, type, esk9_2: nat > (nat > produc722054561st_a_a > $o) > list_P1512795175st_a_a). 0.35/0.62 thf(decl_125, type, esk10_3: nat > (nat > produc722054561st_a_a > $o) > list_P1512795175st_a_a > nat). 0.35/0.62 thf(decl_126, type, esk11_3: nat > (nat > produc722054561st_a_a > $o) > nat > produc722054561st_a_a). 0.35/0.62 thf(decl_127, type, esk12_2: nat > (nat > produc1370066861list_a > $o) > nat). 0.35/0.62 thf(decl_128, type, esk13_2: nat > (nat > produc1370066861list_a > $o) > list_P1893926963list_a). 0.35/0.62 thf(decl_129, type, esk14_3: nat > (nat > produc1370066861list_a > $o) > list_P1893926963list_a > nat). 0.35/0.62 thf(decl_130, type, esk15_3: nat > (nat > produc1370066861list_a > $o) > nat > produc1370066861list_a). 0.35/0.62 thf(decl_131, type, esk16_2: nat > (nat > list_list_a > $o) > nat). 0.35/0.62 thf(decl_132, type, esk17_2: nat > (nat > list_list_a > $o) > list_list_list_a). 0.35/0.62 thf(decl_133, type, esk18_3: nat > (nat > list_list_a > $o) > list_list_list_a > nat). 0.35/0.62 thf(decl_134, type, esk19_3: nat > (nat > list_list_a > $o) > nat > list_list_a). 0.35/0.62 thf(decl_135, type, esk20_2: nat > (nat > nat > $o) > nat). 0.35/0.62 thf(decl_136, type, esk21_2: nat > (nat > nat > $o) > list_nat). 0.35/0.62 thf(decl_137, type, esk22_3: nat > (nat > nat > $o) > list_nat > nat). 0.35/0.62 thf(decl_138, type, esk23_3: nat > (nat > nat > $o) > nat > nat). 0.35/0.62 thf(decl_139, type, esk24_2: nat > (nat > product_prod_a_a > $o) > nat). 0.35/0.62 thf(decl_140, type, esk25_2: nat > (nat > product_prod_a_a > $o) > list_P1467822637od_a_a). 0.35/0.62 thf(decl_141, type, esk26_3: nat > (nat > product_prod_a_a > $o) > list_P1467822637od_a_a > nat). 0.35/0.62 thf(decl_142, type, esk27_3: nat > (nat > product_prod_a_a > $o) > nat > product_prod_a_a). 0.35/0.62 thf(decl_143, type, esk28_2: nat > (nat > list_a > $o) > nat). 0.35/0.62 thf(decl_144, type, esk29_2: nat > (nat > list_a > $o) > list_list_a). 0.35/0.62 thf(decl_145, type, esk30_3: nat > (nat > list_a > $o) > list_list_a > nat). 0.35/0.62 thf(decl_146, type, esk31_3: nat > (nat > list_a > $o) > nat > list_a). 0.35/0.62 thf(decl_147, type, esk32_2: nat > (nat > a > $o) > nat). 0.35/0.62 thf(decl_148, type, esk33_2: nat > (nat > a > $o) > list_a). 0.35/0.62 thf(decl_149, type, esk34_3: nat > (nat > a > $o) > list_a > nat). 0.35/0.62 thf(decl_150, type, esk35_3: nat > (nat > a > $o) > nat > a). 0.35/0.62 thf(decl_151, type, esk36_2: list_P1512795175st_a_a > list_P1512795175st_a_a > nat). 0.35/0.62 thf(decl_152, type, esk37_2: list_P1893926963list_a > list_P1893926963list_a > nat). 0.35/0.62 thf(decl_153, type, esk38_2: list_list_list_a > list_list_list_a > nat). 0.35/0.62 thf(decl_154, type, esk39_2: list_nat > list_nat > nat). 0.35/0.62 thf(decl_155, type, esk40_2: list_P1467822637od_a_a > list_P1467822637od_a_a > nat). 0.35/0.62 thf(decl_156, type, esk41_2: list_list_a > list_list_a > nat). 0.35/0.62 thf(decl_157, type, esk42_2: list_a > list_a > nat). 0.35/0.62 thf(decl_158, type, esk43_1: (nat > $o) > nat). 0.35/0.62 thf(decl_159, type, esk44_1: (nat > $o) > nat). 0.35/0.62 thf(decl_160, type, esk45_1: nat > list_list_a). 0.35/0.62 thf(decl_161, type, esk46_1: nat > list_nat). 0.35/0.62 thf(decl_162, type, esk47_1: nat > list_P1467822637od_a_a). 0.35/0.62 thf(decl_163, type, esk48_1: nat > list_a). 0.35/0.62 thf(decl_164, type, esk49_1: (list_list_a > $o) > list_list_a). 0.35/0.62 thf(decl_165, type, esk50_1: (list_nat > $o) > list_nat). 0.35/0.62 thf(decl_166, type, esk51_1: (list_P1467822637od_a_a > $o) > list_P1467822637od_a_a). 0.35/0.62 thf(decl_167, type, esk52_1: (list_a > $o) > list_a). 0.35/0.62 thf(decl_168, type, esk53_1: list_nat > nat). 0.35/0.62 thf(decl_169, type, esk54_1: list_nat > nat). 0.35/0.62 thf(decl_170, type, esk55_1: list_nat > nat). 0.35/0.62 thf(decl_171, type, esk56_1: list_nat > nat). 0.35/0.62 thf(decl_172, type, esk57_3: nat > nat > nat > nat). 0.35/0.62 thf(decl_173, type, esk58_3: nat > nat > nat > nat). 0.35/0.62 thf(decl_174, type, esk59_1: (nat > $o) > nat). 0.35/0.62 thf(decl_175, type, esk60_2: nat > nat > nat). 0.35/0.62 thf(fact_39_add_Ocommute, axiom, ((plus_plus_nat)=(^[X75:nat, X76:nat]:(plus_plus_nat @ X76 @ X75))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_39_add_Ocommute)). 0.35/0.62 thf(conj_2, conjecture, ((nth_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m) @ n)=(nth_a @ xs @ (plus_plus_nat @ (times_times_nat @ m @ k) @ n))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)). 0.35/0.62 thf(fact_33_mult_Ocommute, axiom, ((times_times_nat)=(^[X75:nat, X76:nat]:(times_times_nat @ X76 @ X75))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_33_mult_Ocommute)). 0.35/0.62 thf(fact_98_list__slice2__list__slice__nth, axiom, ![X1:nat, X132:list_a, X3:nat]:(((ord_less_nat @ X1 @ (divide_divide_nat @ (size_size_list_a @ X132) @ X3))=>((nth_list_a @ (listSl1174287072ice2_a @ X132 @ X3) @ X1)=(nth_list_a @ (listSl97544552lice_a @ X132 @ X3) @ X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_98_list__slice2__list__slice__nth)). 0.35/0.62 thf(conj_0, hypothesis, (ord_less_nat @ m @ (divide_divide_nat @ (size_size_list_a @ xs) @ k)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.35/0.62 thf(fact_94_list__slice__nth__nth, axiom, ![X1:nat, X129:list_a, X3:nat, X7:nat]:(((ord_less_nat @ X1 @ (divide_divide_nat @ (size_size_list_a @ X129) @ X3))=>((ord_less_nat @ X7 @ X3)=>((nth_a @ (nth_list_a @ (listSl97544552lice_a @ X129 @ X3) @ X1) @ X7)=(nth_a @ X129 @ (plus_plus_nat @ (times_times_nat @ X1 @ X3) @ X7)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_94_list__slice__nth__nth)). 0.35/0.62 thf(conj_1, hypothesis, (ord_less_nat @ n @ k), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 0.35/0.62 thf(c_0_7, plain, ![X995:nat, X996:nat]:(((plus_plus_nat @ X995 @ X996)=(plus_plus_nat @ X996 @ X995))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_39_add_Ocommute])])). 0.35/0.62 thf(c_0_8, negated_conjecture, ((nth_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m) @ n)!=(nth_a @ xs @ (plus_plus_nat @ (times_times_nat @ m @ k) @ n))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])])). 0.35/0.62 thf(c_0_9, plain, ![X1215:nat, X1216:nat]:(((plus_plus_nat @ X1215 @ X1216)=(plus_plus_nat @ X1216 @ X1215))), inference(variable_rename,[status(thm)],[c_0_7])). 0.35/0.62 thf(c_0_10, plain, ![X993:nat, X994:nat]:(((times_times_nat @ X993 @ X994)=(times_times_nat @ X994 @ X993))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_33_mult_Ocommute])])). 0.35/0.62 thf(c_0_11, negated_conjecture, ((nth_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m) @ n)!=(nth_a @ xs @ (plus_plus_nat @ (times_times_nat @ m @ k) @ n))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.35/0.62 thf(c_0_12, plain, ![X3:nat, X1:nat]:(((plus_plus_nat @ X1 @ X3)=(plus_plus_nat @ X3 @ X1))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.35/0.62 thf(c_0_13, plain, ![X1391:nat, X1392:list_a, X1393:nat]:((~(ord_less_nat @ X1391 @ (divide_divide_nat @ (size_size_list_a @ X1392) @ X1393))|((nth_list_a @ (listSl1174287072ice2_a @ X1392 @ X1393) @ X1391)=(nth_list_a @ (listSl97544552lice_a @ X1392 @ X1393) @ X1391)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_98_list__slice2__list__slice__nth])])). 0.35/0.62 thf(c_0_14, plain, ![X1198:nat, X1199:nat]:(((times_times_nat @ X1198 @ X1199)=(times_times_nat @ X1199 @ X1198))), inference(variable_rename,[status(thm)],[c_0_10])). 0.35/0.62 thf(c_0_15, negated_conjecture, ((nth_a @ (nth_list_a @ (listSl1174287072ice2_a @ xs @ k) @ m) @ n)!=(nth_a @ xs @ (plus_plus_nat @ n @ (times_times_nat @ m @ k)))), inference(rw,[status(thm)],[c_0_11, c_0_12])). 0.35/0.62 thf(c_0_16, plain, ![X6:list_a, X1:nat, X3:nat]:((((nth_list_a @ (listSl1174287072ice2_a @ X6 @ X3) @ X1)=(nth_list_a @ (listSl97544552lice_a @ X6 @ X3) @ X1))|~((ord_less_nat @ X1 @ (divide_divide_nat @ (size_size_list_a @ X6) @ X3))))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.35/0.62 thf(c_0_17, hypothesis, (ord_less_nat @ m @ (divide_divide_nat @ (size_size_list_a @ xs) @ k)), inference(split_conjunct,[status(thm)],[conj_0])). 0.35/0.62 thf(c_0_18, plain, ![X3:nat, X1:nat]:(((times_times_nat @ X1 @ X3)=(times_times_nat @ X3 @ X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.35/0.62 thf(c_0_19, plain, ![X1378:nat, X1379:list_a, X1380:nat, X1381:nat]:((~(ord_less_nat @ X1378 @ (divide_divide_nat @ (size_size_list_a @ X1379) @ X1380))|(~(ord_less_nat @ X1381 @ X1380)|((nth_a @ (nth_list_a @ (listSl97544552lice_a @ X1379 @ X1380) @ X1378) @ X1381)=(nth_a @ X1379 @ (plus_plus_nat @ (times_times_nat @ X1378 @ X1380) @ X1381)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_94_list__slice__nth__nth])])). 0.35/0.62 thf(c_0_20, negated_conjecture, ((nth_a @ (nth_list_a @ (listSl97544552lice_a @ xs @ k) @ m) @ n)!=(nth_a @ xs @ (plus_plus_nat @ n @ (times_times_nat @ k @ m)))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])]), c_0_18])). 0.35/0.62 thf(c_0_21, plain, ![X6:list_a, X7:nat, X1:nat, X3:nat]:((((nth_a @ (nth_list_a @ (listSl97544552lice_a @ X6 @ X3) @ X1) @ X7)=(nth_a @ X6 @ (plus_plus_nat @ (times_times_nat @ X1 @ X3) @ X7)))|~((ord_less_nat @ X1 @ (divide_divide_nat @ (size_size_list_a @ X6) @ X3)))|~((ord_less_nat @ X7 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.35/0.62 thf(c_0_22, hypothesis, (ord_less_nat @ n @ k), inference(split_conjunct,[status(thm)],[conj_1])). 0.35/0.62 thf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_12]), c_0_18]), c_0_17]), c_0_22])]), ['proof']). 0.35/0.62 # SZS output end CNFRefutation 0.35/0.62 # Parsed axioms : 432 0.35/0.62 # Removed by relevancy pruning/SinE : 0 0.35/0.62 # Initial clauses : 570 0.35/0.62 # Removed in clause preprocessing : 162 0.35/0.62 # Initial clauses in saturation : 408 0.35/0.62 # Processed clauses : 812 0.35/0.62 # ...of these trivial : 28 0.35/0.62 # ...subsumed : 181 0.35/0.62 # ...remaining for further processing : 603 0.35/0.62 # Other redundant clauses eliminated : 131 0.35/0.62 # Clauses deleted for lack of memory : 0 0.35/0.62 # Backward-subsumed : 2 0.35/0.62 # Backward-rewritten : 1 0.35/0.62 # Generated clauses : 2845 0.35/0.62 # ...of the previous two non-redundant : 2293 0.35/0.62 # ...aggressively subsumed : 0 0.35/0.62 # Contextual simplify-reflections : 0 0.35/0.62 # Paramodulations : 2692 0.35/0.62 # Factorizations : 2 0.35/0.62 # NegExts : 0 0.35/0.62 # Equation resolutions : 154 0.35/0.62 # Propositional unsat checks : 0 0.35/0.62 # Propositional check models : 0 0.35/0.62 # Propositional check unsatisfiable : 0 0.35/0.62 # Propositional clauses : 0 0.35/0.62 # Propositional clauses after purity: 0 0.35/0.62 # Propositional unsat core size : 0 0.35/0.62 # Propositional preprocessing time : 0.000 0.35/0.62 # Propositional encoding time : 0.000 0.35/0.62 # Propositional solver time : 0.000 0.35/0.62 # Success case prop preproc time : 0.000 0.35/0.62 # Success case prop encoding time : 0.000 0.35/0.62 # Success case prop solver time : 0.000 0.35/0.62 # Current number of processed clauses : 258 0.35/0.62 # Positive orientable unit clauses : 89 0.35/0.62 # Positive unorientable unit clauses: 4 0.35/0.62 # Negative unit clauses : 10 0.35/0.62 # Non-unit-clauses : 155 0.35/0.62 # Current number of unprocessed clauses: 2170 0.35/0.62 # ...number of literals in the above : 4506 0.35/0.62 # Current number of archived formulas : 0 0.35/0.62 # Current number of archived clauses : 289 0.35/0.62 # Clause-clause subsumption calls (NU) : 11998 0.35/0.62 # Rec. Clause-clause subsumption calls : 10707 0.35/0.62 # Non-unit clause-clause subsumptions : 82 0.35/0.62 # Unit Clause-clause subsumption calls : 298 0.35/0.62 # Rewrite failures with RHS unbound : 0 0.35/0.62 # BW rewrite match attempts : 77 0.35/0.62 # BW rewrite match successes : 52 0.35/0.62 # Condensation attempts : 812 0.35/0.62 # Condensation successes : 2 0.35/0.62 # Termbank termtop insertions : 62027 0.35/0.62 0.35/0.62 # ------------------------------------------------- 0.35/0.62 # User time : 0.119 s 0.35/0.62 # System time : 0.007 s 0.35/0.62 # Total time : 0.126 s 0.35/0.62 # Maximum resident set size: 4336 pages 0.35/0.62 0.35/0.62 # ------------------------------------------------- 0.35/0.62 # User time : 0.129 s 0.35/0.62 # System time : 0.011 s 0.35/0.62 # Total time : 0.140 s 0.35/0.62 # Maximum resident set size: 2264 pages 0.35/0.62 EOF