0.07/0.13 % Problem : SLH346^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.14 % Command : run_E %s %d THM 0.13/0.35 % Computer : n025.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 30 0.13/0.35 % WCLimit : 30 0.13/0.35 % DateTime : Tue Aug 9 02:57:41 EDT 2022 0.13/0.35 % CPUTime : 0.20/0.48 The problem SPC is TH0_THM_EQU_NAR 0.20/0.49 Running higher-order on 1 cores theorem proving 0.20/0.49 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 0.20/0.49 # Version: 3.0pre003-ho 0.35/0.70 # Preprocessing class: HSLSSMSSSSSCHFA. 0.35/0.70 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.70 # Starting lpo8_lambda_fix with 30s (1) cores 0.35/0.70 # lpo8_lambda_fix with pid 29015 completed with status 0 0.35/0.70 # Result found by lpo8_lambda_fix 0.35/0.70 # Preprocessing class: HSLSSMSSSSSCHFA. 0.35/0.70 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.70 # Starting lpo8_lambda_fix with 30s (1) cores 0.35/0.70 # SinE strategy is GSinE(CountFormulas,,5.0,,4,20000,1.0) 0.35/0.70 # ...ProofStateSinE()=267/301 0.35/0.70 # Search class: HGHSM-FSLS33-MHFFFSBC 0.35/0.70 # partial match(1): HGHSM-FSLM33-MHFFFSBC 0.35/0.70 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.35/0.70 # Starting new_ho_10 with 14s (1) cores 0.35/0.70 # new_ho_10 with pid 29033 completed with status 0 0.35/0.70 # Result found by new_ho_10 0.35/0.70 # Preprocessing class: HSLSSMSSSSSCHFA. 0.35/0.70 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.35/0.70 # Starting lpo8_lambda_fix with 30s (1) cores 0.35/0.70 # SinE strategy is GSinE(CountFormulas,,5.0,,4,20000,1.0) 0.35/0.70 # ...ProofStateSinE()=267/301 0.35/0.70 # Search class: HGHSM-FSLS33-MHFFFSBC 0.35/0.70 # partial match(1): HGHSM-FSLM33-MHFFFSBC 0.35/0.70 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.35/0.70 # Starting new_ho_10 with 14s (1) cores 0.35/0.70 # Preprocessing time : 0.018 s 0.35/0.70 # Presaturation interreduction done 0.35/0.70 0.35/0.70 # Proof found! 0.35/0.70 # SZS status Theorem 0.35/0.70 # SZS output start CNFRefutation 0.35/0.70 thf(decl_22, type, finite_finite_nat: set_nat > $o). 0.35/0.70 thf(decl_23, type, minus_minus_nat: nat > nat > nat). 0.35/0.70 thf(decl_24, type, minus_minus_set_nat: set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_25, type, zero_zero_nat: nat). 0.35/0.70 thf(decl_26, type, groups1842438620at_nat: (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_27, type, number1551313001itions: (nat > nat) > nat > $o). 0.35/0.70 thf(decl_28, type, ord_less_nat: nat > nat > $o). 0.35/0.70 thf(decl_29, type, ord_less_set_nat: set_nat > set_nat > $o). 0.35/0.70 thf(decl_30, type, ord_less_eq_nat: nat > nat > $o). 0.35/0.70 thf(decl_31, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 0.35/0.70 thf(decl_32, type, ord_le1613022364et_nat: set_set_nat > set_set_nat > $o). 0.35/0.70 thf(decl_33, type, order_Greatest_nat: (nat > $o) > nat). 0.35/0.70 thf(decl_34, type, order_710314349et_nat: (set_nat > $o) > set_nat). 0.35/0.70 thf(decl_35, type, collect_nat: (nat > $o) > set_nat). 0.35/0.70 thf(decl_36, type, set_ord_atMost_nat: nat > set_nat). 0.35/0.70 thf(decl_37, type, set_or1086813439et_nat: set_nat > set_set_nat). 0.35/0.70 thf(decl_38, type, member_nat: nat > set_nat > $o). 0.35/0.70 thf(decl_39, type, member_set_nat: set_nat > set_set_nat > $o). 0.35/0.70 thf(decl_40, type, k: nat). 0.35/0.70 thf(decl_41, type, m: nat). 0.35/0.70 thf(decl_42, type, p: nat > nat). 0.35/0.70 thf(decl_43, type, esk1_2: (nat > $o) > nat > nat). 0.35/0.70 thf(decl_44, type, esk2_1: (nat > $o) > nat). 0.35/0.70 thf(decl_45, type, esk3_2: (nat > $o) > nat > nat). 0.35/0.70 thf(decl_46, type, esk4_1: (nat > $o) > nat). 0.35/0.70 thf(decl_47, type, esk5_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_48, type, esk6_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_49, type, esk7_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_50, type, esk8_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_51, type, esk9_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_52, type, esk10_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_53, type, esk11_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.35/0.70 thf(decl_54, type, esk12_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.35/0.70 thf(decl_55, type, esk13_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_56, type, esk14_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_57, type, esk15_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_58, type, esk16_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_59, type, esk17_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_60, type, esk18_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_61, type, esk19_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_62, type, esk20_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_63, type, esk21_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_64, type, esk22_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_65, type, esk23_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.35/0.70 thf(decl_66, type, esk24_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.35/0.70 thf(decl_67, type, esk25_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_68, type, esk26_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_69, type, esk27_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_70, type, esk28_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_71, type, esk29_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_72, type, esk30_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_73, type, esk31_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_74, type, esk32_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_75, type, esk33_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_76, type, esk34_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_77, type, esk35_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_78, type, esk36_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_79, type, esk37_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.35/0.70 thf(decl_80, type, esk38_4: set_nat > set_nat > (set_nat > nat) > nat > set_nat). 0.35/0.70 thf(decl_81, type, esk39_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_82, type, esk40_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_83, type, esk41_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_84, type, esk42_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_85, type, esk43_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_86, type, esk44_4: nat > (set_nat > nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_87, type, esk45_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_88, type, esk46_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_89, type, esk47_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_90, type, esk48_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_91, type, esk49_1: (nat > nat) > nat). 0.35/0.70 thf(decl_92, type, esk50_1: (nat > nat) > nat). 0.35/0.70 thf(decl_93, type, esk51_2: (nat > $o) > nat > nat). 0.35/0.70 thf(decl_94, type, esk52_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.35/0.70 thf(decl_95, type, esk53_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.35/0.70 thf(decl_96, type, esk54_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_97, type, esk55_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_98, type, esk56_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.35/0.70 thf(decl_99, type, esk57_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.35/0.70 thf(decl_100, type, esk58_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_101, type, esk59_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_102, type, esk60_2: set_nat > set_nat > nat). 0.35/0.70 thf(decl_103, type, esk61_2: set_nat > set_nat > nat). 0.35/0.70 thf(decl_104, type, esk62_2: set_nat > set_nat > nat). 0.35/0.70 thf(decl_105, type, esk63_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_106, type, esk64_4: set_nat > (nat > set_nat) > nat > nat > nat). 0.35/0.70 thf(decl_107, type, esk65_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.35/0.70 thf(decl_108, type, esk66_4: set_nat > set_nat > (set_nat > set_nat) > set_nat > set_nat). 0.35/0.70 thf(decl_109, type, esk67_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_110, type, esk68_4: set_nat > (set_nat > set_nat) > set_nat > set_nat > set_nat). 0.35/0.70 thf(decl_111, type, esk69_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_112, type, esk70_4: nat > nat > (nat > set_nat) > set_nat > nat). 0.35/0.70 thf(decl_113, type, esk71_2: set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_114, type, esk72_2: set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_115, type, esk73_2: (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_116, type, esk74_2: set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_117, type, esk75_3: set_nat > set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_118, type, esk76_2: set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_119, type, esk77_1: (nat > $o) > nat). 0.35/0.70 thf(decl_120, type, esk78_3: set_nat > nat > (nat > nat) > nat). 0.35/0.70 thf(decl_121, type, esk79_4: set_nat > set_nat > nat > (nat > nat) > nat). 0.35/0.70 thf(decl_122, type, esk80_5: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_123, type, esk81_6: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_124, type, esk82_6: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_125, type, esk83_6: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_126, type, esk84_7: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_127, type, esk85_8: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_128, type, esk86_8: set_nat > set_nat > set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_129, type, esk87_1: (nat > $o) > nat). 0.35/0.70 thf(decl_130, type, esk88_1: (nat > $o) > nat). 0.35/0.70 thf(decl_131, type, esk89_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_132, type, esk90_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_133, type, esk91_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_134, type, esk92_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_135, type, esk93_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_136, type, esk94_4: nat > (nat > nat) > nat > nat > nat). 0.35/0.70 thf(decl_137, type, esk95_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_138, type, esk96_4: nat > nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_139, type, esk97_1: nat > nat). 0.35/0.70 thf(decl_140, type, esk98_1: (nat > $o) > nat). 0.35/0.70 thf(decl_141, type, esk99_1: (nat > $o) > nat). 0.35/0.70 thf(decl_142, type, esk100_2: (nat > $o) > nat > nat). 0.35/0.70 thf(decl_143, type, esk101_1: (nat > $o) > nat). 0.35/0.70 thf(decl_144, type, esk102_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_145, type, esk103_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_146, type, esk104_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_147, type, esk105_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_148, type, esk106_1: (nat > nat > $o) > nat). 0.35/0.70 thf(decl_149, type, esk107_1: (nat > nat) > nat). 0.35/0.70 thf(decl_150, type, esk108_4: set_nat > set_nat > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_151, type, esk109_3: set_nat > set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_152, type, esk110_4: set_nat > set_nat > (nat > nat) > nat > nat). 0.35/0.70 thf(decl_153, type, esk111_5: set_nat > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_154, type, esk112_4: set_nat > (nat > nat) > set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_155, type, esk113_6: set_nat > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_156, type, esk114_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_157, type, esk115_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_158, type, esk116_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_159, type, esk117_4: set_nat > (nat > nat) > (nat > nat) > set_nat > nat). 0.35/0.70 thf(decl_160, type, esk118_6: set_nat > (nat > nat) > (nat > nat) > set_nat > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_161, type, esk119_3: set_nat > (nat > nat) > (nat > nat) > nat). 0.35/0.70 thf(decl_162, type, esk120_3: (nat > nat) > set_nat > (nat > nat) > nat). 0.35/0.70 thf(decl_163, type, esk121_2: set_nat > nat > nat). 0.35/0.70 thf(decl_164, type, esk122_1: set_nat > nat). 0.35/0.70 thf(decl_165, type, esk123_2: set_nat > nat > nat). 0.35/0.70 thf(decl_166, type, esk124_1: set_nat > nat). 0.35/0.70 thf(decl_167, type, esk125_2: set_nat > nat > nat). 0.35/0.70 thf(fact_21_partitions__parts__bounded, axiom, ![X3:nat > nat, X4:nat]:(((number1551313001itions @ X3 @ X4)=>(ord_less_eq_nat @ (groups1842438620at_nat @ X3 @ (set_ord_atMost_nat @ X4)) @ X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_21_partitions__parts__bounded)). 0.35/0.70 thf(fact_1_k, axiom, ((groups1842438620at_nat @ p @ (set_ord_atMost_nat @ (minus_minus_nat @ m @ k)))=(k)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_1_k)). 0.35/0.70 thf(fact_0_partitions, axiom, (number1551313001itions @ p @ (minus_minus_nat @ m @ k)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_partitions)). 0.35/0.70 thf(fact_78_diff__is__0__eq_H, axiom, ![X8:nat, X4:nat]:(((ord_less_eq_nat @ X8 @ X4)=>((minus_minus_nat @ X8 @ X4)=(zero_zero_nat)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_78_diff__is__0__eq_H)). 0.35/0.70 thf(fact_9_nat__le__linear, axiom, ![X8:nat, X4:nat]:(((ord_less_eq_nat @ X8 @ X4)|(ord_less_eq_nat @ X4 @ X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_9_nat__le__linear)). 0.35/0.70 thf(conj_0, conjecture, (ord_less_eq_nat @ k @ m), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.35/0.70 thf(fact_8_le__antisym, axiom, ![X8:nat, X4:nat]:(((ord_less_eq_nat @ X8 @ X4)=>((ord_less_eq_nat @ X4 @ X8)=>((X8)=(X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_8_le__antisym)). 0.35/0.70 thf(fact_82_bot__nat__0_Oextremum, axiom, ![X27:nat]:((ord_less_eq_nat @ zero_zero_nat @ X27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_82_bot__nat__0_Oextremum)). 0.35/0.70 thf(c_0_8, plain, ![X1747:nat > nat, X1748:nat]:((~(number1551313001itions @ X1747 @ X1748)|(ord_less_eq_nat @ (groups1842438620at_nat @ X1747 @ (set_ord_atMost_nat @ X1748)) @ X1748))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_21_partitions__parts__bounded])])). 0.35/0.70 thf(c_0_9, plain, ![X3:nat > nat, X2:nat]:(((ord_less_eq_nat @ (groups1842438620at_nat @ X3 @ (set_ord_atMost_nat @ X2)) @ X2)|~((number1551313001itions @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.35/0.70 thf(c_0_10, plain, ((groups1842438620at_nat @ p @ (set_ord_atMost_nat @ (minus_minus_nat @ m @ k)))=(k)), inference(split_conjunct,[status(thm)],[fact_1_k])). 0.35/0.70 thf(c_0_11, plain, (number1551313001itions @ p @ (minus_minus_nat @ m @ k)), inference(split_conjunct,[status(thm)],[fact_0_partitions])). 0.35/0.70 thf(c_0_12, plain, ![X1222:nat, X1223:nat]:((~(ord_less_eq_nat @ X1222 @ X1223)|((minus_minus_nat @ X1222 @ X1223)=(zero_zero_nat)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_78_diff__is__0__eq_H])])). 0.35/0.70 thf(c_0_13, plain, (ord_less_eq_nat @ k @ (minus_minus_nat @ m @ k)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])])). 0.35/0.70 thf(c_0_14, plain, ![X2:nat, X4:nat]:((((minus_minus_nat @ X2 @ X4)=(zero_zero_nat))|~((ord_less_eq_nat @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.35/0.70 thf(c_0_15, plain, ![X1068:nat, X1069:nat]:(((ord_less_eq_nat @ X1068 @ X1069)|(ord_less_eq_nat @ X1069 @ X1068))), inference(variable_rename,[status(thm)],[fact_9_nat__le__linear])). 0.35/0.70 thf(c_0_16, negated_conjecture, ~(ord_less_eq_nat @ k @ m), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.35/0.70 thf(c_0_17, plain, ![X1066:nat, X1067:nat]:((~(ord_less_eq_nat @ X1066 @ X1067)|(~(ord_less_eq_nat @ X1067 @ X1066)|((X1066)=(X1067))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_le__antisym])])). 0.35/0.70 thf(c_0_18, plain, ((ord_less_eq_nat @ k @ zero_zero_nat)|~((ord_less_eq_nat @ m @ k))), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.35/0.70 thf(c_0_19, plain, ![X4:nat, X2:nat]:(((ord_less_eq_nat @ X2 @ X4)|(ord_less_eq_nat @ X4 @ X2))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.35/0.70 thf(c_0_20, negated_conjecture, ~((ord_less_eq_nat @ k @ m)), inference(split_conjunct,[status(thm)],[c_0_16])). 0.35/0.70 thf(c_0_21, plain, ![X1226:nat]:((ord_less_eq_nat @ zero_zero_nat @ X1226)), inference(variable_rename,[status(thm)],[fact_82_bot__nat__0_Oextremum])). 0.35/0.70 thf(c_0_22, plain, ![X4:nat, X2:nat]:((((X2)=(X4))|~((ord_less_eq_nat @ X2 @ X4))|~((ord_less_eq_nat @ X4 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.35/0.70 thf(c_0_23, plain, (ord_less_eq_nat @ k @ zero_zero_nat), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20])). 0.35/0.70 thf(c_0_24, plain, ![X2:nat]:((ord_less_eq_nat @ zero_zero_nat @ X2)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.35/0.70 thf(c_0_25, plain, ((k)=(zero_zero_nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])). 0.35/0.70 thf(c_0_26, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_25]), c_0_24])]), ['proof']). 0.35/0.70 # SZS output end CNFRefutation 0.35/0.70 # Parsed axioms : 301 0.35/0.70 # Removed by relevancy pruning/SinE : 34 0.35/0.70 # Initial clauses : 660 0.35/0.70 # Removed in clause preprocessing : 13 0.35/0.70 # Initial clauses in saturation : 647 0.35/0.70 # Processed clauses : 826 0.35/0.70 # ...of these trivial : 14 0.35/0.70 # ...subsumed : 240 0.35/0.70 # ...remaining for further processing : 572 0.35/0.70 # Other redundant clauses eliminated : 87 0.35/0.70 # Clauses deleted for lack of memory : 0 0.35/0.70 # Backward-subsumed : 1 0.35/0.70 # Backward-rewritten : 9 0.35/0.70 # Generated clauses : 503 0.35/0.70 # ...of the previous two non-redundant : 366 0.35/0.70 # ...aggressively subsumed : 0 0.35/0.70 # Contextual simplify-reflections : 5 0.35/0.70 # Paramodulations : 409 0.35/0.70 # Factorizations : 4 0.35/0.70 # NegExts : 0 0.35/0.70 # Equation resolutions : 88 0.35/0.70 # Propositional unsat checks : 0 0.35/0.70 # Propositional check models : 0 0.35/0.70 # Propositional check unsatisfiable : 0 0.35/0.70 # Propositional clauses : 0 0.35/0.70 # Propositional clauses after purity: 0 0.35/0.70 # Propositional unsat core size : 0 0.35/0.70 # Propositional preprocessing time : 0.000 0.35/0.70 # Propositional encoding time : 0.000 0.35/0.70 # Propositional solver time : 0.000 0.35/0.70 # Success case prop preproc time : 0.000 0.35/0.70 # Success case prop encoding time : 0.000 0.35/0.70 # Success case prop solver time : 0.000 0.35/0.70 # Current number of processed clauses : 102 0.35/0.70 # Positive orientable unit clauses : 20 0.35/0.70 # Positive unorientable unit clauses: 1 0.35/0.70 # Negative unit clauses : 7 0.35/0.70 # Non-unit-clauses : 74 0.35/0.70 # Current number of unprocessed clauses: 560 0.35/0.70 # ...number of literals in the above : 2645 0.35/0.70 # Current number of archived formulas : 0 0.35/0.70 # Current number of archived clauses : 386 0.35/0.70 # Clause-clause subsumption calls (NU) : 101556 0.35/0.70 # Rec. Clause-clause subsumption calls : 11836 0.35/0.70 # Non-unit clause-clause subsumptions : 215 0.35/0.70 # Unit Clause-clause subsumption calls : 276 0.35/0.70 # Rewrite failures with RHS unbound : 0 0.35/0.70 # BW rewrite match attempts : 13 0.35/0.70 # BW rewrite match successes : 3 0.35/0.70 # Condensation attempts : 826 0.35/0.70 # Condensation successes : 12 0.35/0.70 # Termbank termtop insertions : 76904 0.35/0.70 0.35/0.70 # ------------------------------------------------- 0.35/0.70 # User time : 0.191 s 0.35/0.70 # System time : 0.014 s 0.35/0.70 # Total time : 0.205 s 0.35/0.70 # Maximum resident set size: 4580 pages 0.35/0.70 0.35/0.70 # ------------------------------------------------- 0.35/0.70 # User time : 0.196 s 0.35/0.70 # System time : 0.017 s 0.35/0.70 # Total time : 0.213 s 0.35/0.70 # Maximum resident set size: 2324 pages 0.35/0.70 EOF