0.06/0.11 % Problem : SLH509^1 : TPTP v7.5.0. Released v7.5.0. 0.06/0.13 % Command : run_E %s %d THM 0.13/0.33 % Computer : n007.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 30 0.13/0.33 % WCLimit : 30 0.13/0.33 % DateTime : Tue Aug 9 02:50:42 EDT 2022 0.13/0.33 % CPUTime : 0.19/0.45 The problem SPC is TH0_THM_EQU_NAR 0.19/0.45 Running higher-order on 1 cores theorem proving 0.19/0.45 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/benchmark/theBenchmark.p 0.19/0.45 # Version: 3.0pre003-ho 17.39/17.61 # Preprocessing class: HSLSSMSSSSLNHHA. 17.39/17.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.39/17.61 # Starting full_lambda_1 with 30s (1) cores 17.39/17.61 # full_lambda_1 with pid 29763 completed with status 0 17.39/17.61 # Result found by full_lambda_1 17.39/17.61 # Preprocessing class: HSLSSMSSSSLNHHA. 17.39/17.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.39/17.61 # Starting full_lambda_1 with 30s (1) cores 17.39/17.61 # No SInE strategy applied 17.39/17.61 # Search class: HGHSM-SMLM33-DHHFFMBN 17.39/17.61 # partial match(1): HGHSM-SMLM33-DHFFFMBN 17.39/17.61 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 17.39/17.61 # Starting additional_ho_6 with 17s (1) cores 17.39/17.61 # additional_ho_6 with pid 29764 completed with status 7 17.39/17.61 # Starting full_lambda_1 with 4s (1) cores 17.39/17.61 # full_lambda_1 with pid 29765 completed with status 0 17.39/17.61 # Result found by full_lambda_1 17.39/17.61 # Preprocessing class: HSLSSMSSSSLNHHA. 17.39/17.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 17.39/17.61 # Starting full_lambda_1 with 30s (1) cores 17.39/17.61 # No SInE strategy applied 17.39/17.61 # Search class: HGHSM-SMLM33-DHHFFMBN 17.39/17.61 # partial match(1): HGHSM-SMLM33-DHFFFMBN 17.39/17.61 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 17.39/17.61 # Starting additional_ho_6 with 17s (1) cores 17.39/17.61 # additional_ho_6 with pid 29764 completed with status 7 17.39/17.61 # Starting full_lambda_1 with 4s (1) cores 17.39/17.61 # Preprocessing time : 0.027 s 17.39/17.61 17.39/17.61 # Proof found! 17.39/17.61 # SZS status Theorem 17.39/17.61 # SZS output start CNFRefutation 17.39/17.61 thf(decl_22, type, finite1691211641_nat_o: set_nat_nat_o > $o). 17.39/17.61 thf(decl_23, type, finite_finite_nat_o: set_nat_o > $o). 17.39/17.61 thf(decl_24, type, finite570312790at_nat: set_nat_nat > $o). 17.39/17.61 thf(decl_25, type, finite_finite_nat: set_nat > $o). 17.39/17.61 thf(decl_26, type, finite604103692at_nat: set_set_nat_nat > $o). 17.39/17.61 thf(decl_27, type, finite2012248349et_nat: set_set_nat > $o). 17.39/17.61 thf(decl_28, type, finite1278040258at_nat: set_set_set_nat_nat > $o). 17.39/17.61 thf(decl_29, type, finite99688915et_nat: set_set_set_nat > $o). 17.39/17.61 thf(decl_30, type, minus_minus_nat: nat > nat > nat). 17.39/17.61 thf(decl_31, type, minus_1084107342at_nat: set_nat_nat > set_nat_nat > set_nat_nat). 17.39/17.61 thf(decl_32, type, minus_minus_set_nat: set_nat > set_nat > set_nat). 17.39/17.61 thf(decl_33, type, zero_zero_nat: nat). 17.39/17.61 thf(decl_34, type, groups31223499at_nat: ((nat > nat) > nat) > set_nat_nat > nat). 17.39/17.61 thf(decl_35, type, groups1842438620at_nat: (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_36, type, groups768352897at_nat: (set_nat_nat > nat) > set_set_nat_nat > nat). 17.39/17.61 thf(decl_37, type, groups2126137746at_nat: (set_nat > nat) > set_set_nat > nat). 17.39/17.61 thf(decl_38, type, if_nat: $o > nat > nat > nat). 17.39/17.61 thf(decl_39, type, number1551313001itions: (nat > nat) > nat > $o). 17.39/17.61 thf(decl_40, type, ord_less_nat: nat > nat > $o). 17.39/17.61 thf(decl_41, type, ord_le2026740592_nat_o: ((nat > nat) > $o) > ((nat > nat) > $o) > $o). 17.39/17.61 thf(decl_42, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o). 17.39/17.61 thf(decl_43, type, ord_less_eq_nat_nat: (nat > nat) > (nat > nat) > $o). 17.39/17.61 thf(decl_44, type, ord_less_eq_nat: nat > nat > $o). 17.39/17.61 thf(decl_45, type, ord_le1349918544_nat_o: set_nat_nat_o > set_nat_nat_o > $o). 17.39/17.61 thf(decl_46, type, ord_le387586047_nat_o: set_nat_o > set_nat_o > $o). 17.39/17.61 thf(decl_47, type, ord_le1415039317at_nat: set_nat_nat > set_nat_nat > $o). 17.39/17.61 thf(decl_48, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 17.39/17.61 thf(decl_49, type, ord_le1631689227at_nat: set_set_nat_nat > set_set_nat_nat > $o). 17.39/17.61 thf(decl_50, type, ord_le1613022364et_nat: set_set_nat > set_set_nat > $o). 17.39/17.61 thf(decl_51, type, collect_nat_nat_o: (((nat > nat) > $o) > $o) > set_nat_nat_o). 17.39/17.61 thf(decl_52, type, collect_nat_o: ((nat > $o) > $o) > set_nat_o). 17.39/17.61 thf(decl_53, type, collect_nat_nat: ((nat > nat) > $o) > set_nat_nat). 17.39/17.61 thf(decl_54, type, collect_nat: (nat > $o) > set_nat). 17.39/17.61 thf(decl_55, type, collect_set_nat_nat: (set_nat_nat > $o) > set_set_nat_nat). 17.39/17.61 thf(decl_56, type, collect_set_nat: (set_nat > $o) > set_set_nat). 17.39/17.61 thf(decl_57, type, collec457259520at_nat: (set_set_nat_nat > $o) > set_set_set_nat_nat). 17.39/17.61 thf(decl_58, type, collect_set_set_nat: (set_set_nat > $o) > set_set_set_nat). 17.39/17.61 thf(decl_59, type, set_or1840377111_nat_o: ((nat > nat) > $o) > set_nat_nat_o). 17.39/17.61 thf(decl_60, type, set_ord_atMost_nat_o: (nat > $o) > set_nat_o). 17.39/17.61 thf(decl_61, type, set_or1939034424at_nat: (nat > nat) > set_nat_nat). 17.39/17.61 thf(decl_62, type, set_ord_atMost_nat: nat > set_nat). 17.39/17.61 thf(decl_63, type, set_or1282565358at_nat: set_nat_nat > set_set_nat_nat). 17.39/17.61 thf(decl_64, type, set_or1086813439et_nat: set_nat > set_set_nat). 17.39/17.61 thf(decl_65, type, member_nat_nat_o: ((nat > nat) > $o) > set_nat_nat_o > $o). 17.39/17.61 thf(decl_66, type, member_nat_o: (nat > $o) > set_nat_o > $o). 17.39/17.61 thf(decl_67, type, member_nat_nat: (nat > nat) > set_nat_nat > $o). 17.39/17.61 thf(decl_68, type, member_nat: nat > set_nat > $o). 17.39/17.61 thf(decl_69, type, member_set_nat_nat: set_nat_nat > set_set_nat_nat > $o). 17.39/17.61 thf(decl_70, type, member_set_nat: set_nat > set_set_nat > $o). 17.39/17.61 thf(decl_71, type, k: nat). 17.39/17.61 thf(decl_72, type, n: nat). 17.39/17.61 thf(decl_73, type, esk1_1: (set_nat > $o) > set_nat). 17.39/17.61 thf(decl_74, type, esk2_1: (set_nat_nat > $o) > set_nat_nat). 17.39/17.61 thf(decl_75, type, esk3_1: ((nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_76, type, esk4_1: (nat > $o) > nat). 17.39/17.61 thf(decl_77, type, esk5_3: set_nat > set_nat > (nat > nat > $o) > nat). 17.39/17.61 thf(decl_78, type, esk6_3: set_nat > set_nat > (nat > nat > $o) > nat). 17.39/17.61 thf(decl_79, type, esk7_3: set_nat_nat > set_nat > ((nat > nat) > nat > $o) > nat > nat). 17.39/17.61 thf(decl_80, type, esk8_3: set_nat_nat > set_nat > ((nat > nat) > nat > $o) > nat). 17.39/17.61 thf(decl_81, type, esk9_3: set_nat > set_nat_nat > (nat > (nat > nat) > $o) > nat). 17.39/17.61 thf(decl_82, type, esk10_3: set_nat > set_nat_nat > (nat > (nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_83, type, esk11_3: set_nat_nat > set_nat_nat > ((nat > nat) > (nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_84, type, esk12_3: set_nat_nat > set_nat_nat > ((nat > nat) > (nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_85, type, esk13_3: set_nat > set_set_nat > (nat > set_nat > $o) > nat). 17.39/17.61 thf(decl_86, type, esk14_3: set_nat > set_set_nat > (nat > set_nat > $o) > set_nat). 17.39/17.61 thf(decl_87, type, esk15_3: set_set_nat > set_nat > (set_nat > nat > $o) > set_nat). 17.39/17.61 thf(decl_88, type, esk16_3: set_set_nat > set_nat > (set_nat > nat > $o) > nat). 17.39/17.61 thf(decl_89, type, esk17_3: set_set_nat > set_set_nat > (set_nat > set_nat > $o) > set_nat). 17.39/17.61 thf(decl_90, type, esk18_3: set_set_nat > set_set_nat > (set_nat > set_nat > $o) > set_nat). 17.39/17.61 thf(decl_91, type, esk19_3: set_nat_nat > set_set_nat > ((nat > nat) > set_nat > $o) > nat > nat). 17.39/17.61 thf(decl_92, type, esk20_3: set_nat_nat > set_set_nat > ((nat > nat) > set_nat > $o) > set_nat). 17.39/17.61 thf(decl_93, type, esk21_3: set_nat > set_set_nat_nat > (nat > set_nat_nat > $o) > nat). 17.39/17.61 thf(decl_94, type, esk22_3: set_nat > set_set_nat_nat > (nat > set_nat_nat > $o) > set_nat_nat). 17.39/17.61 thf(decl_95, type, esk23_3: set_set_nat > set_nat_nat > (set_nat > (nat > nat) > $o) > set_nat). 17.39/17.61 thf(decl_96, type, esk24_3: set_set_nat > set_nat_nat > (set_nat > (nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_97, type, esk25_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_98, type, esk26_4: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_99, type, esk27_3: set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_100, type, esk28_4: set_nat > set_nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_101, type, esk29_5: set_nat > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_102, type, esk30_3: set_nat_nat > set_nat > (nat > nat > nat) > nat > nat). 17.39/17.61 thf(decl_103, type, esk31_4: set_nat_nat > set_nat > (nat > nat > nat) > nat > nat). 17.39/17.61 thf(decl_104, type, esk32_5: set_nat_nat > set_nat > (nat > nat > nat) > ((nat > nat) > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_105, type, esk33_3: set_nat > set_nat_nat > ((nat > nat) > nat) > nat). 17.39/17.61 thf(decl_106, type, esk34_4: set_nat > set_nat_nat > ((nat > nat) > nat) > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_107, type, esk35_5: set_nat > set_nat_nat > ((nat > nat) > nat) > (nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_108, type, esk36_3: set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > nat > nat). 17.39/17.61 thf(decl_109, type, esk37_4: set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_110, type, esk38_5: set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_111, type, esk39_1: (nat > nat) > nat). 17.39/17.61 thf(decl_112, type, esk40_2: (nat > $o) > nat > nat). 17.39/17.61 thf(decl_113, type, esk41_1: (nat > $o) > nat). 17.39/17.61 thf(decl_114, type, esk42_2: set_set_nat > set_nat > set_nat). 17.39/17.61 thf(decl_115, type, esk43_2: set_set_nat_nat > set_nat_nat > set_nat_nat). 17.39/17.61 thf(decl_116, type, epred1_2: set_nat_nat_o > ((nat > nat) > $o) > (nat > nat) > $o). 17.39/17.61 thf(decl_117, type, epred2_2: set_nat_o > (nat > $o) > nat > $o). 17.39/17.61 thf(decl_118, type, esk44_2: set_nat_nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_119, type, esk45_2: set_nat > nat > nat). 17.39/17.61 thf(decl_120, type, esk46_2: set_set_nat > set_nat > set_nat). 17.39/17.61 thf(decl_121, type, esk47_2: set_set_nat_nat > set_nat_nat > set_nat_nat). 17.39/17.61 thf(decl_122, type, epred3_2: set_nat_nat_o > ((nat > nat) > $o) > (nat > nat) > $o). 17.39/17.61 thf(decl_123, type, epred4_2: set_nat_o > (nat > $o) > nat > $o). 17.39/17.61 thf(decl_124, type, esk48_2: set_nat_nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_125, type, esk49_2: set_nat > nat > nat). 17.39/17.61 thf(decl_126, type, esk50_3: set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_127, type, esk51_3: set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_128, type, esk52_3: (set_nat > nat) > set_set_nat > (set_nat > nat) > set_nat). 17.39/17.61 thf(decl_129, type, esk53_3: (set_nat_nat > nat) > set_set_nat_nat > (set_nat_nat > nat) > set_nat_nat). 17.39/17.61 thf(decl_130, type, esk54_3: (nat > nat) > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_131, type, esk55_3: ((nat > nat) > nat) > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_132, type, esk56_3: set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_133, type, esk57_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_134, type, esk58_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_135, type, esk59_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_136, type, esk60_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_137, type, esk61_3: set_nat > ((nat > nat) > nat) > (nat > nat > nat) > nat). 17.39/17.61 thf(decl_138, type, esk62_4: set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > nat). 17.39/17.61 thf(decl_139, type, esk63_4: set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_140, type, esk64_4: set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_141, type, esk65_6: set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > ((nat > nat) > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_142, type, esk66_3: set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_143, type, esk67_4: set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > nat > nat). 17.39/17.61 thf(decl_144, type, esk68_4: set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > nat). 17.39/17.61 thf(decl_145, type, esk69_4: set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > nat). 17.39/17.61 thf(decl_146, type, esk70_6: set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > (nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_147, type, esk71_3: set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > nat > nat). 17.39/17.61 thf(decl_148, type, esk72_4: set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_149, type, esk73_4: set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_150, type, esk74_4: set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_151, type, esk75_6: set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_152, type, esk76_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_153, type, esk77_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_154, type, esk78_4: set_nat_nat > ((nat > nat) > nat) > set_nat > (nat > nat > nat) > nat > nat). 17.39/17.61 thf(decl_155, type, esk79_6: set_nat_nat > ((nat > nat) > nat) > set_nat > (nat > nat > nat) > ((nat > nat) > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_156, type, esk80_4: set_nat > (nat > nat > nat) > set_nat_nat > ((nat > nat) > nat) > nat). 17.39/17.61 thf(decl_157, type, esk81_6: set_nat > (nat > nat > nat) > set_nat_nat > ((nat > nat) > nat) > (nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_158, type, esk82_4: set_nat_nat > ((nat > nat) > nat > nat) > set_nat_nat > ((nat > nat) > nat > nat) > nat > nat). 17.39/17.61 thf(decl_159, type, esk83_6: set_nat_nat > ((nat > nat) > nat > nat) > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_160, type, esk84_2: set_set_nat > (set_nat > nat) > set_nat). 17.39/17.61 thf(decl_161, type, esk85_2: set_set_nat_nat > (set_nat_nat > nat) > set_nat_nat). 17.39/17.61 thf(decl_162, type, esk86_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_163, type, esk87_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_164, type, esk88_2: set_set_nat > (set_nat > nat) > set_nat). 17.39/17.61 thf(decl_165, type, esk89_2: set_set_nat_nat > (set_nat_nat > nat) > set_nat_nat). 17.39/17.61 thf(decl_166, type, esk90_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_167, type, esk91_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_168, type, esk92_2: (nat > $o) > nat > nat). 17.39/17.61 thf(decl_169, type, esk93_1: (nat > $o) > nat). 17.39/17.61 thf(decl_170, type, esk94_2: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_171, type, esk95_2: (nat > $o) > (nat > $o) > nat). 17.39/17.61 thf(decl_172, type, esk96_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_173, type, esk97_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_174, type, esk98_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_175, type, esk99_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_176, type, esk100_2: (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_177, type, esk101_2: ((nat > nat) > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_178, type, esk102_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_179, type, esk103_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_180, type, esk104_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_181, type, esk105_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_182, type, esk106_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_183, type, esk107_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_184, type, esk108_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_185, type, esk109_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_186, type, esk110_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_187, type, esk111_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_188, type, esk112_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_189, type, esk113_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_190, type, esk114_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_191, type, esk115_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_192, type, esk116_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_193, type, esk117_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_194, type, esk118_3: set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_195, type, esk119_5: set_nat > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_196, type, esk120_3: set_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_197, type, esk121_5: set_nat > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_198, type, esk122_3: set_nat_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_199, type, esk123_5: set_nat_nat > set_nat > (nat > nat) > (nat > nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_200, type, esk124_3: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_201, type, esk125_5: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_202, type, esk126_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_203, type, esk127_2: set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_204, type, esk128_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_205, type, esk129_2: set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_206, type, esk130_2: set_nat > set_nat > nat). 17.39/17.61 thf(decl_207, type, esk131_2: set_nat_nat > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_208, type, esk132_3: set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_209, type, esk133_3: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_210, type, esk134_5: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_211, type, esk135_6: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_212, type, esk136_6: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_213, type, esk137_6: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 17.39/17.61 thf(decl_214, type, esk138_7: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_215, type, esk139_8: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_216, type, esk140_8: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_217, type, esk141_5: set_nat > set_nat_nat > set_nat > ((nat > nat) > nat) > (nat > nat > nat) > nat). 17.39/17.61 thf(decl_218, type, esk142_6: set_nat > set_nat_nat > set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > nat). 17.39/17.61 thf(decl_219, type, esk143_6: set_nat > set_nat_nat > set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_220, type, esk144_6: set_nat > set_nat_nat > set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_221, type, esk145_7: set_nat > set_nat_nat > set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_222, type, esk146_8: set_nat > set_nat_nat > set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > (nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_223, type, esk147_8: set_nat > set_nat_nat > set_nat > ((nat > nat) > nat) > (nat > nat > nat) > set_nat_nat > (nat > nat) > ((nat > nat) > nat) > nat). 17.39/17.61 thf(decl_224, type, esk148_5: set_nat_nat > set_nat > set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_225, type, esk149_6: set_nat_nat > set_nat > set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > nat > nat). 17.39/17.61 thf(decl_226, type, esk150_6: set_nat_nat > set_nat > set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > nat). 17.39/17.61 thf(decl_227, type, esk151_6: set_nat_nat > set_nat > set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > nat). 17.39/17.61 thf(decl_228, type, esk152_7: set_nat_nat > set_nat > set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_229, type, esk153_8: set_nat_nat > set_nat > set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > ((nat > nat) > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_230, type, esk154_8: set_nat_nat > set_nat > set_nat_nat > (nat > nat > nat) > ((nat > nat) > nat) > set_nat > ((nat > nat) > nat) > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_231, type, esk155_5: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > nat > nat). 17.39/17.61 thf(decl_232, type, esk156_6: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_233, type, esk157_6: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_234, type, esk158_6: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > nat > nat). 17.39/17.61 thf(decl_235, type, esk159_7: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_236, type, esk160_8: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_237, type, esk161_8: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat > nat) > ((nat > nat) > nat > nat) > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_238, type, esk162_2: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_239, type, esk163_2: (nat > $o) > (nat > $o) > nat). 17.39/17.61 thf(decl_240, type, esk164_2: ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_241, type, esk165_2: (nat > $o) > (nat > $o) > nat). 17.39/17.61 thf(decl_242, type, esk166_3: set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_243, type, esk167_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_244, type, esk168_3: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_245, type, esk169_4: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_246, type, esk170_3: set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_247, type, esk171_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_248, type, esk172_3: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_249, type, esk173_4: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_250, type, esk174_3: set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_251, type, esk175_3: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_252, type, esk176_3: set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_253, type, esk177_3: set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_254, type, esk178_4: set_nat > set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_255, type, esk179_5: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_256, type, esk180_4: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_257, type, esk181_5: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_258, type, esk182_4: set_nat > set_nat > set_nat > (nat > nat) > nat). 17.39/17.61 thf(decl_259, type, esk183_5: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 17.39/17.61 thf(decl_260, type, esk184_4: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_261, type, esk185_5: set_nat_nat > set_nat_nat > set_nat_nat > ((nat > nat) > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_262, type, esk186_4: set_nat > set_nat > nat > (nat > nat) > nat). 17.39/17.61 thf(decl_263, type, esk187_4: set_nat_nat > set_nat_nat > (nat > nat) > ((nat > nat) > nat) > nat > nat). 17.39/17.61 thf(decl_264, type, esk188_3: set_nat_nat > set_nat_nat > ((nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_265, type, esk189_3: set_nat > set_nat > (nat > $o) > nat). 17.39/17.61 thf(decl_266, type, esk190_4: set_nat_nat > set_nat_nat > ((nat > nat) > $o) > ((nat > nat) > $o) > nat > nat). 17.39/17.61 thf(decl_267, type, esk191_4: set_nat > set_nat > (nat > $o) > (nat > $o) > nat). 17.39/17.61 thf(decl_268, type, esk192_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_269, type, esk193_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_270, type, esk194_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_271, type, esk195_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_272, type, esk196_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_273, type, esk197_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_274, type, esk198_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_275, type, esk199_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_276, type, esk200_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_277, type, esk201_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_278, type, esk202_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_279, type, esk203_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_280, type, esk204_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_281, type, esk205_4: nat > (nat > nat) > nat > nat > nat). 17.39/17.61 thf(decl_282, type, esk206_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_283, type, esk207_4: nat > nat > (nat > nat) > nat > nat). 17.39/17.61 thf(decl_284, type, esk208_1: nat > nat). 17.39/17.61 thf(decl_285, type, esk209_1: (nat > $o) > nat). 17.39/17.61 thf(decl_286, type, esk210_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_287, type, esk211_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_288, type, esk212_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_289, type, esk213_1: (nat > nat > $o) > nat). 17.39/17.61 thf(decl_290, type, esk214_1: (nat > nat > $o) > nat). 17.39/17.61 thf(fact_3_finite__Collect__conjI, axiom, ![X9:(nat > nat) > $o, X10:(nat > nat) > $o]:((((finite570312790at_nat @ (collect_nat_nat @ X9))|(finite570312790at_nat @ (collect_nat_nat @ X10)))=>(finite570312790at_nat @ (collect_nat_nat @ (^[X11:nat > nat]:(((X9 @ X11)&(X10 @ X11)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3_finite__Collect__conjI)). 17.39/17.61 thf(fact_0_finite__partitions, axiom, ![X1:nat]:((finite570312790at_nat @ (collect_nat_nat @ (^[X2:nat > nat]:((number1551313001itions @ X2 @ X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_finite__partitions)). 17.39/17.61 thf(conj_0, conjecture, (finite570312790at_nat @ (collect_nat_nat @ (^[X2:nat > nat]:(((number1551313001itions @ X2 @ n)&((groups1842438620at_nat @ X2 @ (set_ord_atMost_nat @ n))=(k))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 17.39/17.61 thf(c_0_3, plain, ![X9:(nat > nat) > $o, X10:(nat > nat) > $o]:((((finite570312790at_nat @ (collect_nat_nat @ X9))|(finite570312790at_nat @ (collect_nat_nat @ X10)))=>(finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:(((X9 @ Z0)&(X10 @ Z0)))))))), inference(fof_simplification,[status(thm)],[fact_3_finite__Collect__conjI])). 17.39/17.61 thf(c_0_4, plain, ![X1:nat]:((finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:((number1551313001itions @ Z0 @ X1)))))), inference(fof_simplification,[status(thm)],[fact_0_finite__partitions])). 17.39/17.61 thf(c_0_5, negated_conjecture, ~(finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:(((number1551313001itions @ Z0 @ n)&((groups1842438620at_nat @ Z0 @ (set_ord_atMost_nat @ n))=(k))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])). 17.39/17.61 thf(c_0_6, plain, ![X1951:(nat > nat) > $o, X1952:(nat > nat) > $o]:(((~(finite570312790at_nat @ (collect_nat_nat @ X1951))|(finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:(((X1951 @ Z0)&(X1952 @ Z0)))))))&(~(finite570312790at_nat @ (collect_nat_nat @ X1952))|(finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:(((X1951 @ Z0)&(X1952 @ Z0))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])). 17.39/17.61 thf(c_0_7, plain, ![X1946:nat]:((finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:((number1551313001itions @ Z0 @ X1946)))))), inference(variable_rename,[status(thm)],[c_0_4])). 17.39/17.61 thf(c_0_8, negated_conjecture, ~((finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:(((number1551313001itions @ Z0 @ n)&((groups1842438620at_nat @ Z0 @ (set_ord_atMost_nat @ n))=(k)))))))), inference(split_conjunct,[status(thm)],[c_0_5])). 17.39/17.61 thf(c_0_9, plain, ![X10:(nat > nat) > $o, X9:(nat > nat) > $o]:(((finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:(((X9 @ Z0)&(X10 @ Z0))))))|~((finite570312790at_nat @ (collect_nat_nat @ X9))))), inference(split_conjunct,[status(thm)],[c_0_6])). 17.39/17.61 thf(c_0_10, plain, ![X1:nat]:((finite570312790at_nat @ (collect_nat_nat @ (^[Z0:nat > nat]:((number1551313001itions @ Z0 @ X1)))))), inference(split_conjunct,[status(thm)],[c_0_7])). 17.39/17.61 thf(c_0_11, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])]), ['proof']). 17.39/17.61 # SZS output end CNFRefutation 17.39/17.61 # Parsed axioms : 413 17.39/17.61 # Removed by relevancy pruning/SinE : 0 17.39/17.61 # Initial clauses : 1401 17.39/17.61 # Removed in clause preprocessing : 71 17.39/17.61 # Initial clauses in saturation : 1330 17.39/17.61 # Processed clauses : 195 17.39/17.61 # ...of these trivial : 8 17.39/17.61 # ...subsumed : 56 17.39/17.61 # ...remaining for further processing : 131 17.39/17.61 # Other redundant clauses eliminated : 24 17.39/17.61 # Clauses deleted for lack of memory : 0 17.39/17.61 # Backward-subsumed : 1 17.39/17.61 # Backward-rewritten : 1 17.39/17.61 # Generated clauses : 187 17.39/17.61 # ...of the previous two non-redundant : 122 17.39/17.61 # ...aggressively subsumed : 0 17.39/17.61 # Contextual simplify-reflections : 1 17.39/17.61 # Paramodulations : 120 17.39/17.61 # Factorizations : 4 17.39/17.61 # NegExts : 0 17.39/17.61 # Equation resolutions : 26 17.39/17.61 # Propositional unsat checks : 0 17.39/17.61 # Propositional check models : 0 17.39/17.61 # Propositional check unsatisfiable : 0 17.39/17.61 # Propositional clauses : 0 17.39/17.61 # Propositional clauses after purity: 0 17.39/17.61 # Propositional unsat core size : 0 17.39/17.61 # Propositional preprocessing time : 0.000 17.39/17.61 # Propositional encoding time : 0.000 17.39/17.61 # Propositional solver time : 0.000 17.39/17.61 # Success case prop preproc time : 0.000 17.39/17.61 # Success case prop encoding time : 0.000 17.39/17.61 # Success case prop solver time : 0.000 17.39/17.61 # Current number of processed clauses : 108 17.39/17.61 # Positive orientable unit clauses : 28 17.39/17.61 # Positive unorientable unit clauses: 0 17.39/17.61 # Negative unit clauses : 3 17.39/17.61 # Non-unit-clauses : 77 17.39/17.61 # Current number of unprocessed clauses: 1253 17.39/17.61 # ...number of literals in the above : 8067 17.39/17.61 # Current number of archived formulas : 0 17.39/17.61 # Current number of archived clauses : 2 17.39/17.61 # Clause-clause subsumption calls (NU) : 824 17.39/17.61 # Rec. Clause-clause subsumption calls : 642 17.39/17.61 # Non-unit clause-clause subsumptions : 55 17.39/17.61 # Unit Clause-clause subsumption calls : 27 17.39/17.61 # Rewrite failures with RHS unbound : 0 17.39/17.61 # BW rewrite match attempts : 27 17.39/17.61 # BW rewrite match successes : 1 17.39/17.61 # Condensation attempts : 195 17.39/17.61 # Condensation successes : 0 17.39/17.61 # Termbank termtop insertions : 116313 17.39/17.61 17.39/17.61 # ------------------------------------------------- 17.39/17.61 # User time : 17.116 s 17.39/17.61 # System time : 0.017 s 17.39/17.61 # Total time : 17.133 s 17.39/17.61 # Maximum resident set size: 7708 pages 17.39/17.61 17.39/17.61 # ------------------------------------------------- 17.39/17.61 # User time : 17.133 s 17.39/17.61 # System time : 0.021 s 17.39/17.61 # Total time : 17.154 s 17.39/17.61 # Maximum resident set size: 2828 pages 17.39/17.61 EOF