0.11/0.11 % Problem : SLH512^1 : TPTP v7.5.0. Released v7.5.0. 0.11/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n018.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 30 0.13/0.34 % WCLimit : 30 0.13/0.34 % DateTime : Tue Aug 9 03:09:00 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.45 The problem SPC is TH0_THM_EQU_NAR 0.20/0.45 Running higher-order on 1 cores theorem proving 0.20/0.45 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 0.20/0.45 # Version: 3.0pre003-ho 0.52/0.71 # Preprocessing class: HSLSSMSSSSLNHSA. 0.52/0.71 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.52/0.71 # Starting pre_casc_6 with 30s (1) cores 0.52/0.71 # pre_casc_6 with pid 8660 completed with status 0 0.52/0.71 # Result found by pre_casc_6 0.52/0.71 # Preprocessing class: HSLSSMSSSSLNHSA. 0.52/0.71 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.52/0.71 # Starting pre_casc_6 with 30s (1) cores 0.52/0.71 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.52/0.71 # ...ProofStateSinE()=291/339 0.52/0.71 # Search class: HGHSM-FSLM33-MHSFFSBN 0.52/0.71 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.52/0.71 # Starting sh8 with 17s (1) cores 0.52/0.71 # sh8 with pid 8678 completed with status 0 0.52/0.71 # Result found by sh8 0.52/0.71 # Preprocessing class: HSLSSMSSSSLNHSA. 0.52/0.71 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.52/0.71 # Starting pre_casc_6 with 30s (1) cores 0.52/0.71 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.52/0.71 # ...ProofStateSinE()=291/339 0.52/0.71 # Search class: HGHSM-FSLM33-MHSFFSBN 0.52/0.71 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.52/0.71 # Starting sh8 with 17s (1) cores 0.52/0.71 # Preprocessing time : 0.020 s 0.52/0.71 0.52/0.71 # Proof found! 0.52/0.71 # SZS status Theorem 0.52/0.71 # SZS output start CNFRefutation 0.52/0.71 thf(decl_22, type, fun_upd_nat_nat: (nat > nat) > nat > nat > nat > nat). 0.52/0.71 thf(decl_23, type, minus_minus_nat_o: (nat > $o) > (nat > $o) > nat > $o). 0.52/0.71 thf(decl_24, type, minus_minus_o: $o > $o > $o). 0.52/0.71 thf(decl_25, type, minus_minus_nat: nat > nat > nat). 0.52/0.71 thf(decl_26, type, minus_minus_set_nat: set_nat > set_nat > set_nat). 0.52/0.71 thf(decl_27, type, one_one_nat: nat). 0.52/0.71 thf(decl_28, type, plus_plus_nat: nat > nat > nat). 0.52/0.71 thf(decl_29, type, groups1842438620at_nat: (nat > nat) > set_nat > nat). 0.52/0.71 thf(decl_30, type, if_nat: $o > nat > nat > nat). 0.52/0.71 thf(decl_31, type, number1551313001itions: (nat > nat) > nat > $o). 0.52/0.71 thf(decl_32, type, bot_bot_set_nat: set_nat). 0.52/0.71 thf(decl_33, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o). 0.52/0.71 thf(decl_34, type, ord_less_eq_nat: nat > nat > $o). 0.52/0.71 thf(decl_35, type, ord_le387586047_nat_o: set_nat_o > set_nat_o > $o). 0.52/0.71 thf(decl_36, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.52/0.71 thf(decl_37, type, ord_le1613022364et_nat: set_set_nat > set_set_nat > $o). 0.52/0.71 thf(decl_38, type, collect_nat_o: ((nat > $o) > $o) > set_nat_o). 0.52/0.71 thf(decl_39, type, collect_nat: (nat > $o) > set_nat). 0.52/0.71 thf(decl_40, type, collect_set_nat: (set_nat > $o) > set_set_nat). 0.52/0.71 thf(decl_41, type, insert_nat: nat > set_nat > set_nat). 0.52/0.71 thf(decl_42, type, the_elem_nat: set_nat > nat). 0.52/0.71 thf(decl_43, type, set_ord_atMost_nat_o: (nat > $o) > set_nat_o). 0.52/0.71 thf(decl_44, type, set_ord_atMost_nat: nat > set_nat). 0.52/0.71 thf(decl_45, type, set_or1086813439et_nat: set_nat > set_set_nat). 0.52/0.71 thf(decl_46, type, member_nat_o: (nat > $o) > set_nat_o > $o). 0.52/0.71 thf(decl_47, type, member_nat: nat > set_nat > $o). 0.52/0.71 thf(decl_48, type, member_set_nat: set_nat > set_set_nat > $o). 0.52/0.71 thf(decl_49, type, k: nat). 0.52/0.71 thf(decl_50, type, n: nat). 0.52/0.71 thf(decl_51, type, p: nat > nat). 0.52/0.71 thf(decl_52, type, esk1_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.52/0.71 thf(decl_53, type, esk2_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.52/0.71 thf(decl_54, type, esk3_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.52/0.72 thf(decl_55, type, esk4_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.52/0.72 thf(decl_56, type, esk5_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.52/0.72 thf(decl_57, type, esk6_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 0.52/0.72 thf(decl_58, type, esk7_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat). 0.52/0.72 thf(decl_59, type, esk8_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.52/0.72 thf(decl_60, type, esk9_3: set_nat > set_nat > (nat > nat) > nat). 0.52/0.72 thf(decl_61, type, esk10_4: set_nat > set_nat > (nat > nat) > nat > nat). 0.52/0.72 thf(decl_62, type, esk11_5: set_nat > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.52/0.72 thf(decl_63, type, esk12_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 0.52/0.72 thf(decl_64, type, esk13_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.52/0.72 thf(decl_65, type, esk14_2: nat > nat > nat). 0.52/0.72 thf(decl_66, type, esk15_2: nat > nat > nat). 0.52/0.72 thf(decl_67, type, esk16_2: nat > nat > nat). 0.52/0.72 thf(decl_68, type, esk17_2: nat > nat > nat). 0.52/0.72 thf(decl_69, type, esk18_2: nat > set_nat > set_nat). 0.52/0.72 thf(decl_70, type, esk19_4: nat > set_nat > nat > set_nat > set_nat). 0.52/0.72 thf(decl_71, type, esk20_2: nat > set_nat > set_nat). 0.52/0.72 thf(decl_72, type, esk21_1: (nat > $o) > nat). 0.52/0.72 thf(decl_73, type, esk22_1: (nat > $o) > nat). 0.52/0.72 thf(decl_74, type, esk23_1: set_nat > nat). 0.52/0.72 thf(decl_75, type, esk24_1: set_nat > nat). 0.52/0.72 thf(decl_76, type, esk25_1: set_nat > nat). 0.52/0.72 thf(decl_77, type, esk26_2: (nat > $o) > nat > nat). 0.52/0.72 thf(decl_78, type, esk27_1: (nat > $o) > nat). 0.52/0.72 thf(decl_79, type, esk28_2: (nat > $o) > nat > nat). 0.52/0.72 thf(decl_80, type, esk29_1: (nat > $o) > nat). 0.52/0.72 thf(decl_81, type, esk30_1: (nat > nat > $o) > nat). 0.52/0.72 thf(decl_82, type, esk31_1: (nat > nat > $o) > nat). 0.52/0.72 thf(decl_83, type, esk32_1: (nat > nat > $o) > nat). 0.52/0.72 thf(decl_84, type, esk33_1: (nat > nat > $o) > nat). 0.52/0.72 thf(decl_85, type, esk34_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.52/0.72 thf(decl_86, type, esk35_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.52/0.72 thf(decl_87, type, esk36_4: nat > nat > (nat > nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_88, type, esk37_4: nat > nat > (nat > nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_89, type, esk38_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.52/0.72 thf(decl_90, type, esk39_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.52/0.72 thf(decl_91, type, epred1_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat) > nat > nat > $o). 0.52/0.72 thf(decl_92, type, epred2_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat) > nat > nat > $o). 0.52/0.72 thf(decl_93, type, esk40_4: nat > nat > (nat > nat) > nat > nat). 0.52/0.72 thf(decl_94, type, esk41_4: nat > nat > (nat > nat) > nat > nat). 0.52/0.72 thf(decl_95, type, esk42_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.52/0.72 thf(decl_96, type, esk43_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.52/0.72 thf(decl_97, type, esk44_4: (nat > $o) > (nat > nat > $o) > nat > nat > nat). 0.52/0.72 thf(decl_98, type, esk45_4: (nat > $o) > (nat > nat > $o) > nat > nat > nat). 0.52/0.72 thf(decl_99, type, esk46_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_100, type, esk47_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_101, type, epred3_4: nat > ((nat > $o) > nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_102, type, epred4_4: nat > ((nat > $o) > nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_103, type, esk48_4: nat > (nat > nat) > nat > nat > nat). 0.52/0.72 thf(decl_104, type, esk49_4: nat > (nat > nat) > nat > nat > nat). 0.52/0.72 thf(decl_105, type, esk50_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.52/0.72 thf(decl_106, type, esk51_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.52/0.72 thf(decl_107, type, esk52_4: nat > nat > (nat > nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_108, type, esk53_4: nat > nat > (nat > nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_109, type, esk54_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.52/0.72 thf(decl_110, type, esk55_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.52/0.72 thf(decl_111, type, epred5_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat) > nat > nat > $o). 0.52/0.72 thf(decl_112, type, epred6_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat) > nat > nat > $o). 0.52/0.72 thf(decl_113, type, esk56_4: nat > nat > (nat > nat) > nat > nat). 0.52/0.72 thf(decl_114, type, esk57_4: nat > nat > (nat > nat) > nat > nat). 0.52/0.72 thf(decl_115, type, esk58_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_116, type, esk59_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_117, type, epred7_4: nat > ((nat > $o) > nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_118, type, epred8_4: nat > ((nat > $o) > nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_119, type, esk60_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.52/0.72 thf(decl_120, type, esk61_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.52/0.72 thf(decl_121, type, esk62_4: (nat > $o) > (nat > nat > $o) > nat > nat > nat). 0.52/0.72 thf(decl_122, type, esk63_4: (nat > $o) > (nat > nat > $o) > nat > nat > nat). 0.52/0.72 thf(decl_123, type, esk64_4: nat > (nat > nat) > nat > nat > nat). 0.52/0.72 thf(decl_124, type, esk65_4: nat > (nat > nat) > nat > nat > nat). 0.52/0.72 thf(decl_125, type, esk66_2: set_nat > set_nat > nat). 0.52/0.72 thf(decl_126, type, esk67_2: set_nat > set_nat > nat). 0.52/0.72 thf(decl_127, type, esk68_2: set_nat > set_nat > nat). 0.52/0.72 thf(decl_128, type, esk69_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.52/0.72 thf(decl_129, type, esk70_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.52/0.72 thf(decl_130, type, esk71_4: set_nat > set_nat > (set_nat > nat > $o) > (nat > $o) > set_nat). 0.52/0.72 thf(decl_131, type, esk72_4: set_nat > set_nat > (set_nat > nat > $o) > (nat > $o) > set_nat). 0.52/0.72 thf(decl_132, type, epred9_4: (nat > $o) > (nat > $o) > ((nat > $o) > set_nat) > set_nat > nat > $o). 0.52/0.72 thf(decl_133, type, epred10_4: (nat > $o) > (nat > $o) > ((nat > $o) > set_nat) > set_nat > nat > $o). 0.52/0.72 thf(decl_134, type, esk73_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_135, type, esk74_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_136, type, esk75_4: (nat > $o) > (set_nat > nat > $o) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_137, type, esk76_4: (nat > $o) > (set_nat > nat > $o) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_138, type, epred11_4: set_nat > ((nat > $o) > set_nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_139, type, epred12_4: set_nat > ((nat > $o) > set_nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_140, type, esk77_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.52/0.72 thf(decl_141, type, esk78_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.52/0.72 thf(decl_142, type, esk79_4: set_nat > set_nat > (set_nat > nat > $o) > (nat > $o) > set_nat). 0.52/0.72 thf(decl_143, type, esk80_4: set_nat > set_nat > (set_nat > nat > $o) > (nat > $o) > set_nat). 0.52/0.72 thf(decl_144, type, epred13_4: (nat > $o) > (nat > $o) > ((nat > $o) > set_nat) > set_nat > nat > $o). 0.52/0.72 thf(decl_145, type, epred14_4: (nat > $o) > (nat > $o) > ((nat > $o) > set_nat) > set_nat > nat > $o). 0.52/0.72 thf(decl_146, type, esk81_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_147, type, esk82_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_148, type, epred15_4: set_nat > ((nat > $o) > set_nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_149, type, epred16_4: set_nat > ((nat > $o) > set_nat) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_150, type, esk83_4: (nat > $o) > (set_nat > nat > $o) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_151, type, esk84_4: (nat > $o) > (set_nat > nat > $o) > set_nat > set_nat > set_nat). 0.52/0.72 thf(decl_152, type, esk85_2: (nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_153, type, esk86_2: (nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_154, type, esk87_2: (nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_155, type, esk88_2: (nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_156, type, epred17_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_157, type, epred18_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_158, type, epred19_4: (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_159, type, epred20_4: (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_160, type, epred21_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_161, type, epred22_4: (nat > $o) > (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_162, type, epred23_4: (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_163, type, epred24_4: (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat > $o). 0.52/0.72 thf(decl_164, type, esk89_2: (nat > nat) > (nat > nat) > nat > nat). 0.52/0.72 thf(decl_165, type, esk90_2: set_nat > (nat > nat > nat) > nat > nat). 0.52/0.72 thf(decl_166, type, esk91_1: (nat > nat > nat) > nat > nat > nat). 0.52/0.72 thf(decl_167, type, esk92_2: (nat > nat) > (nat > nat) > nat > nat). 0.52/0.72 thf(decl_168, type, epred25_1: nat > nat > $o). 0.52/0.72 thf(decl_169, type, epred26_2: set_nat > set_nat > nat > $o). 0.52/0.72 thf(decl_170, type, epred27_1: nat > nat > $o). 0.52/0.72 thf(decl_171, type, epred28_2: (nat > $o) > nat > nat > $o). 0.52/0.72 thf(decl_172, type, epred29_2: set_nat > nat > nat > $o). 0.52/0.72 thf(decl_173, type, epred30_2: (nat > $o) > nat > nat > $o). 0.52/0.72 thf(decl_174, type, epred31_2: (nat > $o) > nat > nat > $o). 0.52/0.72 thf(decl_175, type, epred32_0: nat > $o). 0.52/0.72 thf(decl_176, type, epred33_1: set_nat > nat > $o). 0.52/0.72 thf(decl_177, type, epred34_2: (nat > $o) > set_nat > nat > $o). 0.52/0.72 thf(decl_178, type, esk93_5: (nat > nat) > (nat > nat) > nat > nat > nat > nat). 0.52/0.72 thf(decl_179, type, esk94_3: (nat > nat) > nat > nat > nat). 0.52/0.72 thf(decl_180, type, esk95_3: (nat > nat > $o) > (nat > $o) > nat > nat). 0.52/0.72 thf(decl_181, type, esk96_3: ((nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_182, type, esk97_3: (set_nat > nat > $o) > (nat > $o) > set_nat > nat). 0.52/0.72 thf(decl_183, type, esk98_3: ((nat > $o) > nat > $o) > (nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_184, type, esk99_3: (nat > $o) > (nat > nat > $o) > nat > nat). 0.52/0.72 thf(decl_185, type, esk100_3: (nat > nat > $o) > (nat > $o) > nat > nat). 0.52/0.72 thf(decl_186, type, esk101_3: (set_nat > nat > $o) > (nat > $o) > set_nat > nat). 0.52/0.72 thf(decl_187, type, esk102_3: (nat > $o) > (nat > $o) > ((nat > $o) > nat > $o) > nat). 0.52/0.72 thf(decl_188, type, esk103_3: (nat > $o) > (set_nat > nat > $o) > set_nat > nat). 0.52/0.72 thf(decl_189, type, esk104_3: (nat > $o) > ((nat > $o) > nat > $o) > (nat > $o) > nat). 0.52/0.72 thf(decl_190, type, esk105_3: (nat > $o) > (nat > nat > $o) > nat > nat). 0.52/0.72 thf(decl_191, type, esk106_3: (nat > $o) > (set_nat > nat > $o) > set_nat > nat). 0.52/0.72 thf(decl_192, type, esk107_0: nat). 0.52/0.72 thf(decl_193, type, esk108_0: nat). 0.52/0.72 thf(decl_194, type, esk109_1: nat > nat). 0.52/0.72 thf(decl_195, type, esk110_1: nat > nat). 0.52/0.72 thf(decl_196, type, esk111_1: nat > nat). 0.52/0.72 thf(decl_197, type, esk112_0: nat). 0.52/0.72 thf(decl_198, type, esk113_1: set_nat > nat). 0.52/0.72 thf(decl_199, type, esk114_0: nat). 0.52/0.72 thf(decl_200, type, esk115_0: nat). 0.52/0.72 thf(decl_201, type, esk116_2: set_nat > nat > nat). 0.52/0.72 thf(decl_202, type, esk117_2: nat > set_nat > nat). 0.52/0.72 thf(decl_203, type, esk118_2: nat > nat > nat). 0.52/0.72 thf(decl_204, type, esk119_0: nat). 0.52/0.72 thf(decl_205, type, esk120_2: set_nat > nat > nat). 0.52/0.72 thf(decl_206, type, esk121_2: (nat > $o) > nat > nat). 0.52/0.72 thf(decl_207, type, esk122_2: nat > set_nat > nat). 0.52/0.72 thf(decl_208, type, esk123_2: nat > nat > nat). 0.52/0.72 thf(decl_209, type, esk124_2: nat > nat > nat). 0.52/0.72 thf(decl_210, type, esk125_0: nat). 0.52/0.72 thf(decl_211, type, esk126_4: (nat > nat) > (nat > nat) > nat > nat > nat). 0.52/0.72 thf(conj_0, conjecture, ((minus_minus_nat @ (plus_plus_nat @ (p @ k) @ (groups1842438620at_nat @ p @ (minus_minus_set_nat @ (set_ord_atMost_nat @ n) @ (insert_nat @ k @ bot_bot_set_nat)))) @ one_one_nat)=(minus_minus_nat @ (groups1842438620at_nat @ p @ (set_ord_atMost_nat @ n)) @ one_one_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.52/0.72 thf(fact_3_calculation, axiom, ((groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ (minus_minus_nat @ n @ k)))=(minus_minus_nat @ (plus_plus_nat @ (p @ k) @ (groups1842438620at_nat @ p @ (minus_minus_set_nat @ (set_ord_atMost_nat @ n) @ (insert_nat @ k @ bot_bot_set_nat)))) @ one_one_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_3_calculation)). 0.52/0.72 thf(fact_4__092_060open_062sum_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_A_123_O_On_A_N_Ak_125_A_061_Asum_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_A_123_O_On_125_092_060close_062, axiom, ((groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ (minus_minus_nat @ n @ k)))=(groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ n))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_4__092_060open_062sum_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_A_123_O_On_A_N_Ak_125_A_061_Asum_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_A_123_O_On_125_092_060close_062)). 0.52/0.72 thf(fact_110_sum__atMost__remove__nat, axiom, ![X9:nat, X16:nat, X6:nat > nat]:(((ord_less_eq_nat @ X9 @ X16)=>((groups1842438620at_nat @ X6 @ (set_ord_atMost_nat @ X16))=(plus_plus_nat @ (X6 @ X9) @ (groups1842438620at_nat @ X6 @ (minus_minus_set_nat @ (set_ord_atMost_nat @ X16) @ (insert_nat @ X9 @ bot_bot_set_nat))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_110_sum__atMost__remove__nat)). 0.52/0.72 thf(fact_0__092_060open_062k_A_092_060le_062_An_092_060close_062, axiom, (ord_less_eq_nat @ k @ n), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0__092_060open_062k_A_092_060le_062_An_092_060close_062)). 0.52/0.72 thf(c_0_5, negated_conjecture, ((minus_minus_nat @ (plus_plus_nat @ (p @ k) @ (groups1842438620at_nat @ p @ (minus_minus_set_nat @ (set_ord_atMost_nat @ n) @ (insert_nat @ k @ bot_bot_set_nat)))) @ one_one_nat)!=(minus_minus_nat @ (groups1842438620at_nat @ p @ (set_ord_atMost_nat @ n)) @ one_one_nat)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.52/0.72 thf(c_0_6, plain, ((groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ (minus_minus_nat @ n @ k)))=(minus_minus_nat @ (plus_plus_nat @ (p @ k) @ (groups1842438620at_nat @ p @ (minus_minus_set_nat @ (set_ord_atMost_nat @ n) @ (insert_nat @ k @ bot_bot_set_nat)))) @ one_one_nat)), inference(split_conjunct,[status(thm)],[fact_3_calculation])). 0.52/0.72 thf(c_0_7, plain, ((groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ (minus_minus_nat @ n @ k)))=(groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ n))), inference(split_conjunct,[status(thm)],[fact_4__092_060open_062sum_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_A_123_O_On_A_N_Ak_125_A_061_Asum_A_Ip_Ik_A_058_061_Ap_Ak_A_N_A1_J_J_A_123_O_On_125_092_060close_062])). 0.52/0.72 thf(c_0_8, plain, ![X1372:nat, X1373:nat, X1374:nat > nat]:((~(ord_less_eq_nat @ X1372 @ X1373)|((groups1842438620at_nat @ X1374 @ (set_ord_atMost_nat @ X1373))=(plus_plus_nat @ (X1374 @ X1372) @ (groups1842438620at_nat @ X1374 @ (minus_minus_set_nat @ (set_ord_atMost_nat @ X1373) @ (insert_nat @ X1372 @ bot_bot_set_nat))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_110_sum__atMost__remove__nat])])). 0.52/0.72 thf(c_0_9, negated_conjecture, ((minus_minus_nat @ (plus_plus_nat @ (p @ k) @ (groups1842438620at_nat @ p @ (minus_minus_set_nat @ (set_ord_atMost_nat @ n) @ (insert_nat @ k @ bot_bot_set_nat)))) @ one_one_nat)!=(minus_minus_nat @ (groups1842438620at_nat @ p @ (set_ord_atMost_nat @ n)) @ one_one_nat)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.52/0.72 thf(c_0_10, plain, ((minus_minus_nat @ (plus_plus_nat @ (p @ k) @ (groups1842438620at_nat @ p @ (minus_minus_set_nat @ (set_ord_atMost_nat @ n) @ (insert_nat @ k @ bot_bot_set_nat)))) @ one_one_nat)=(groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ n))), inference(rw,[status(thm)],[c_0_6, c_0_7])). 0.52/0.72 thf(c_0_11, plain, ![X1:nat, X6:nat > nat, X3:nat]:((((groups1842438620at_nat @ X6 @ (set_ord_atMost_nat @ X3))=(plus_plus_nat @ (X6 @ X1) @ (groups1842438620at_nat @ X6 @ (minus_minus_set_nat @ (set_ord_atMost_nat @ X3) @ (insert_nat @ X1 @ bot_bot_set_nat)))))|~((ord_less_eq_nat @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.52/0.72 thf(c_0_12, plain, (ord_less_eq_nat @ k @ n), inference(split_conjunct,[status(thm)],[fact_0__092_060open_062k_A_092_060le_062_An_092_060close_062])). 0.52/0.72 thf(c_0_13, negated_conjecture, ((groups1842438620at_nat @ (fun_upd_nat_nat @ p @ k @ (minus_minus_nat @ (p @ k) @ one_one_nat)) @ (set_ord_atMost_nat @ n))!=(minus_minus_nat @ (groups1842438620at_nat @ p @ (set_ord_atMost_nat @ n)) @ one_one_nat)), inference(rw,[status(thm)],[c_0_9, c_0_10])). 0.52/0.72 thf(c_0_14, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12])]), c_0_13]), ['proof']). 0.52/0.72 # SZS output end CNFRefutation 0.52/0.72 # Parsed axioms : 339 0.52/0.72 # Removed by relevancy pruning/SinE : 48 0.52/0.72 # Initial clauses : 579 0.52/0.72 # Removed in clause preprocessing : 22 0.52/0.72 # Initial clauses in saturation : 557 0.52/0.72 # Processed clauses : 747 0.52/0.72 # ...of these trivial : 15 0.52/0.72 # ...subsumed : 258 0.52/0.72 # ...remaining for further processing : 473 0.52/0.72 # Other redundant clauses eliminated : 97 0.52/0.72 # Clauses deleted for lack of memory : 0 0.52/0.72 # Backward-subsumed : 4 0.52/0.72 # Backward-rewritten : 3 0.52/0.72 # Generated clauses : 5897 0.52/0.72 # ...of the previous two non-redundant : 5492 0.52/0.72 # ...aggressively subsumed : 0 0.52/0.72 # Contextual simplify-reflections : 0 0.52/0.72 # Paramodulations : 5585 0.52/0.72 # Factorizations : 6 0.52/0.72 # NegExts : 34 0.52/0.72 # Equation resolutions : 120 0.52/0.72 # Propositional unsat checks : 0 0.52/0.72 # Propositional check models : 0 0.52/0.72 # Propositional check unsatisfiable : 0 0.52/0.72 # Propositional clauses : 0 0.52/0.72 # Propositional clauses after purity: 0 0.52/0.72 # Propositional unsat core size : 0 0.52/0.72 # Propositional preprocessing time : 0.000 0.52/0.72 # Propositional encoding time : 0.000 0.52/0.72 # Propositional solver time : 0.000 0.52/0.72 # Success case prop preproc time : 0.000 0.52/0.72 # Success case prop encoding time : 0.000 0.52/0.72 # Success case prop solver time : 0.000 0.52/0.72 # Current number of processed clauses : 418 0.52/0.72 # Positive orientable unit clauses : 56 0.52/0.72 # Positive unorientable unit clauses: 12 0.52/0.72 # Negative unit clauses : 11 0.52/0.72 # Non-unit-clauses : 339 0.52/0.72 # Current number of unprocessed clauses: 5298 0.52/0.72 # ...number of literals in the above : 16691 0.52/0.72 # Current number of archived formulas : 0 0.52/0.72 # Current number of archived clauses : 10 0.52/0.72 # Clause-clause subsumption calls (NU) : 34852 0.52/0.72 # Rec. Clause-clause subsumption calls : 14684 0.52/0.72 # Non-unit clause-clause subsumptions : 212 0.52/0.72 # Unit Clause-clause subsumption calls : 1968 0.52/0.72 # Rewrite failures with RHS unbound : 12 0.52/0.72 # BW rewrite match attempts : 197 0.52/0.72 # BW rewrite match successes : 26 0.52/0.72 # Condensation attempts : 0 0.52/0.72 # Condensation successes : 0 0.52/0.72 # Termbank termtop insertions : 141211 0.52/0.72 0.52/0.72 # ------------------------------------------------- 0.52/0.72 # User time : 0.232 s 0.52/0.72 # System time : 0.017 s 0.52/0.72 # Total time : 0.249 s 0.52/0.72 # Maximum resident set size: 4952 pages 0.52/0.72 0.52/0.72 # ------------------------------------------------- 0.52/0.72 # User time : 0.245 s 0.52/0.72 # System time : 0.018 s 0.52/0.72 # Total time : 0.263 s 0.52/0.72 # Maximum resident set size: 2248 pages 0.52/0.72 EOF