0.07/0.12 % Problem : SLH696^1 : TPTP v7.5.0. Released v7.5.0. 0.07/0.14 % Command : run_E %s %d THM 0.13/0.35 % Computer : n023.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 03:48:58 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 3.07/3.28 # Preprocessing class: HSLSSMSSSSMCHSA. 3.07/3.28 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.07/3.28 # Starting post_as_ho6 with 30s (1) cores 3.07/3.28 # post_as_ho6 with pid 27084 completed with status 0 3.07/3.28 # Result found by post_as_ho6 3.07/3.28 # Preprocessing class: HSLSSMSSSSMCHSA. 3.07/3.28 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.07/3.28 # Starting post_as_ho6 with 30s (1) cores 3.07/3.28 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true) 3.07/3.28 # ...ProofStateSinE()=197/381 3.07/3.28 # Search class: HGUSM-FSLS32-MHSFFSBN 3.07/3.28 # partial match(1): HGUSM-FSLM32-MHSFFSBN 3.07/3.28 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 3.07/3.28 # Starting lpo8_s with 17s (1) cores 3.07/3.28 # lpo8_s with pid 27085 completed with status 0 3.07/3.28 # Result found by lpo8_s 3.07/3.28 # Preprocessing class: HSLSSMSSSSMCHSA. 3.07/3.28 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 3.07/3.28 # Starting post_as_ho6 with 30s (1) cores 3.07/3.28 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true) 3.07/3.28 # ...ProofStateSinE()=197/381 3.07/3.28 # Search class: HGUSM-FSLS32-MHSFFSBN 3.07/3.28 # partial match(1): HGUSM-FSLM32-MHSFFSBN 3.07/3.28 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 3.07/3.28 # Starting lpo8_s with 17s (1) cores 3.07/3.28 # Preprocessing time : 0.008 s 3.07/3.28 # Presaturation interreduction done 3.07/3.28 3.07/3.28 # Proof found! 3.07/3.28 # SZS status Theorem 3.07/3.28 # SZS output start CNFRefutation 3.07/3.28 thf(decl_22, type, code_Suc: code_natural > code_natural). 3.07/3.28 thf(decl_23, type, genClo807607689le_Adj: nat > nat > real). 3.07/3.28 thf(decl_24, type, genClo1160817912lle_IC: nat > nat > real > real). 3.07/3.28 thf(decl_25, type, genClo1161277105lle_PC: nat > real > real). 3.07/3.28 thf(decl_26, type, genClo872980712lle_mu: real). 3.07/3.28 thf(decl_27, type, genClo1144207539le_rho: real). 3.07/3.28 thf(decl_28, type, genClo1088630061le_cfn: nat > (nat > real) > real). 3.07/3.28 thf(decl_29, type, genClo1015804716orrect: nat > real > $o). 3.07/3.28 thf(decl_30, type, genClo2108747022bound1: (nat > real > real) > $o). 3.07/3.28 thf(decl_31, type, genClo2108747023bound2: (nat > real > real) > $o). 3.07/3.28 thf(decl_32, type, minus_1521903873atural: code_natural > code_natural > code_natural). 3.07/3.28 thf(decl_33, type, minus_minus_real: real > real > real). 3.07/3.28 thf(decl_34, type, one_one_Code_natural: code_natural). 3.07/3.28 thf(decl_35, type, one_one_real: real). 3.07/3.28 thf(decl_36, type, plus_p1998378929atural: code_natural > code_natural > code_natural). 3.07/3.28 thf(decl_37, type, plus_plus_real: real > real > real). 3.07/3.28 thf(decl_38, type, times_1359456045atural: code_natural > code_natural > code_natural). 3.07/3.28 thf(decl_39, type, times_times_real: real > real > real). 3.07/3.28 thf(decl_40, type, zero_z353611057atural: code_natural). 3.07/3.28 thf(decl_41, type, zero_zero_real: real). 3.07/3.28 thf(decl_42, type, ord_le1366515336atural: code_natural > code_natural > $o). 3.07/3.28 thf(decl_43, type, ord_less_eq_real: real > real > $o). 3.07/3.28 thf(decl_44, type, order_471738383atural: (code_natural > $o) > code_natural). 3.07/3.28 thf(decl_45, type, order_Greatest_real: (real > $o) > real). 3.07/3.28 thf(decl_46, type, collect_real: (real > $o) > set_real). 3.07/3.28 thf(decl_47, type, member_real: real > set_real > $o). 3.07/3.28 thf(decl_48, type, i: nat). 3.07/3.28 thf(decl_49, type, esk1_1: (nat > real > real) > nat). 3.07/3.28 thf(decl_50, type, esk2_1: (nat > real > real) > real). 3.07/3.28 thf(decl_51, type, esk3_1: (nat > real > real) > real). 3.07/3.28 thf(decl_52, type, esk4_4: real > (real > real) > real > real > real). 3.07/3.28 thf(decl_53, type, esk5_4: real > (real > real) > real > real > real). 3.07/3.28 thf(decl_54, type, esk6_4: real > real > (real > real) > real > real). 3.07/3.28 thf(decl_55, type, esk7_4: real > real > (real > real) > real > real). 3.07/3.28 thf(decl_56, type, esk8_4: real > (real > real) > real > real > real). 3.07/3.28 thf(decl_57, type, esk9_4: real > (real > real) > real > real > real). 3.07/3.28 thf(decl_58, type, esk10_4: real > real > (real > real) > real > real). 3.07/3.28 thf(decl_59, type, esk11_4: real > real > (real > real) > real > real). 3.07/3.28 thf(decl_60, type, esk12_1: (real > real > $o) > real). 3.07/3.28 thf(decl_61, type, esk13_1: (real > real > $o) > real). 3.07/3.28 thf(decl_62, type, esk14_1: (real > real > $o) > real). 3.07/3.28 thf(decl_63, type, esk15_1: (real > real > $o) > real). 3.07/3.28 thf(decl_64, type, esk16_2: (real > $o) > real > real). 3.07/3.28 thf(decl_65, type, esk17_2: (real > $o) > real > real). 3.07/3.28 thf(decl_66, type, esk18_3: (real > $o) > real > (real > $o) > real). 3.07/3.28 thf(decl_67, type, esk19_3: (real > $o) > real > (real > $o) > real). 3.07/3.28 thf(decl_68, type, esk20_2: (real > $o) > real > real). 3.07/3.28 thf(decl_69, type, esk21_2: (real > $o) > real > real). 3.07/3.28 thf(decl_70, type, esk22_3: (real > $o) > real > (real > $o) > real). 3.07/3.28 thf(decl_71, type, esk23_3: (real > $o) > real > (real > $o) > real). 3.07/3.28 thf(decl_72, type, esk24_0: nat > real > real). 3.07/3.28 thf(fact_2_rho__bound2__def, axiom, ((genClo2108747023bound2)=(^[X6:nat > real > real]:(![X5:nat, X7:real, X8:real]:((((genClo1015804716orrect @ X5 @ X8)&(ord_less_eq_real @ X7 @ X8))=>(ord_less_eq_real @ (times_times_real @ (minus_minus_real @ X8 @ X7) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (X6 @ X5 @ X8) @ (X6 @ X5 @ X7)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_2_rho__bound2__def)). 3.07/3.28 thf(fact_6_mult__commute__abs, axiom, ![X15:real]:(((^[X16:real]:(times_times_real @ X16 @ X15))=(times_times_real @ X15))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_6_mult__commute__abs)). 3.07/3.28 thf(conj_0, conjecture, (genClo2108747023bound2 @ (^[X5:nat]:(genClo1160817912lle_IC @ X5 @ i))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 3.07/3.28 thf(fact_0__092_060open_062_092_060And_062t_As_Ap_O_A_092_060lbrakk_062correct_Ap_At_059_As_A_092_060le_062_At_092_060rbrakk_062_A_092_060Longrightarrow_062_A_It_A_N_As_J_A_K_A_I1_A_N_A_092_060rho_062_J_A_092_060le_062_AIC_Ap_Ai_At_A_N_AIC_Ap_Ai_As_092_060close_062, axiom, ![X1:nat, X2:real, X3:real]:(((genClo1015804716orrect @ X1 @ X2)=>((ord_less_eq_real @ X3 @ X2)=>(ord_less_eq_real @ (times_times_real @ (minus_minus_real @ X2 @ X3) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (genClo1160817912lle_IC @ X1 @ i @ X2) @ (genClo1160817912lle_IC @ X1 @ i @ X3)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__092_060open_062_092_060And_062t_As_Ap_O_A_092_060lbrakk_062correct_Ap_At_059_As_A_092_060le_062_At_092_060rbrakk_062_A_092_060Longrightarrow_062_A_It_A_N_As_J_A_K_A_I1_A_N_A_092_060rho_062_J_A_092_060le_062_AIC_Ap_Ai_At_A_N_AIC_Ap_Ai_As_092_060close_062)). 3.07/3.28 thf(c_0_4, plain, ![X1046:nat > real > real]:(((genClo2108747023bound2 @ X1046)<=>![X5:nat, X7:real, X8:real]:((((genClo1015804716orrect @ X5 @ X8)&(ord_less_eq_real @ X7 @ X8))=>(ord_less_eq_real @ (times_times_real @ (minus_minus_real @ X8 @ X7) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (X1046 @ X5 @ X8) @ (X1046 @ X5 @ X7))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_2_rho__bound2__def])])). 3.07/3.28 thf(c_0_5, plain, ![X15:real, X1057:real]:(((times_times_real @ X1057 @ X15)=(times_times_real @ X15 @ X1057))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_6_mult__commute__abs])])). 3.07/3.28 thf(c_0_6, plain, ![X1064:nat > real > real, X1065:nat, X1066:real, X1067:real, X1068:nat > real > real]:(((~(genClo2108747023bound2 @ X1064)|(~(genClo1015804716orrect @ X1065 @ X1067)|~(ord_less_eq_real @ X1066 @ X1067)|(ord_less_eq_real @ (times_times_real @ (minus_minus_real @ X1067 @ X1066) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (X1064 @ X1065 @ X1067) @ (X1064 @ X1065 @ X1066)))))&((((genClo1015804716orrect @ (esk1_1 @ X1068) @ (esk3_1 @ X1068))|(genClo2108747023bound2 @ X1068))&((ord_less_eq_real @ (esk2_1 @ X1068) @ (esk3_1 @ X1068))|(genClo2108747023bound2 @ X1068)))&(~(ord_less_eq_real @ (times_times_real @ (minus_minus_real @ (esk3_1 @ X1068) @ (esk2_1 @ X1068)) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (X1068 @ (esk1_1 @ X1068) @ (esk3_1 @ X1068)) @ (X1068 @ (esk1_1 @ X1068) @ (esk2_1 @ X1068))))|(genClo2108747023bound2 @ X1068))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])). 3.07/3.28 thf(c_0_7, plain, ![X1305:real, X1306:real]:(((times_times_real @ X1306 @ X1305)=(times_times_real @ X1305 @ X1306))), inference(variable_rename,[status(thm)],[c_0_5])). 3.07/3.28 thf(c_0_8, plain, ![X1589:nat]:(((esk24_0 @ X1589)=(genClo1160817912lle_IC @ X1589 @ i))), inference(variable_rename,[status(thm)],[])). 3.07/3.28 thf(c_0_9, negated_conjecture, ~(genClo2108747023bound2 @ (^[Z0:nat]:(genClo1160817912lle_IC @ Z0 @ i))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])])). 3.07/3.28 thf(c_0_10, plain, ![X1588:nat]:(((esk24_0 @ X1588)=(genClo1160817912lle_IC @ X1588 @ i))), introduced(definition)). 3.07/3.28 thf(c_0_11, plain, ![X6:nat > real > real]:(((genClo2108747023bound2 @ X6)|~((ord_less_eq_real @ (times_times_real @ (minus_minus_real @ (esk3_1 @ X6) @ (esk2_1 @ X6)) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (X6 @ (esk1_1 @ X6) @ (esk3_1 @ X6)) @ (X6 @ (esk1_1 @ X6) @ (esk2_1 @ X6))))))), inference(split_conjunct,[status(thm)],[c_0_6])). 3.07/3.28 thf(c_0_12, plain, ![X3:real, X2:real]:(((times_times_real @ X2 @ X3)=(times_times_real @ X3 @ X2))), inference(split_conjunct,[status(thm)],[c_0_7])). 3.07/3.28 thf(c_0_13, plain, ![X1:nat]:(((esk24_0 @ X1)=(genClo1160817912lle_IC @ X1 @ i))), inference(split_conjunct,[status(thm)],[c_0_8])). 3.07/3.28 thf(c_0_14, negated_conjecture, ~((((genClo2108747023bound2 @ esk24_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9]), c_0_10])). 3.07/3.28 thf(c_0_15, plain, ![X1072:nat, X1073:real, X1074:real]:((~(genClo1015804716orrect @ X1072 @ X1073)|(~(ord_less_eq_real @ X1074 @ X1073)|(ord_less_eq_real @ (times_times_real @ (minus_minus_real @ X1073 @ X1074) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (genClo1160817912lle_IC @ X1072 @ i @ X1073) @ (genClo1160817912lle_IC @ X1072 @ i @ X1074)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_092_060And_062t_As_Ap_O_A_092_060lbrakk_062correct_Ap_At_059_As_A_092_060le_062_At_092_060rbrakk_062_A_092_060Longrightarrow_062_A_It_A_N_As_J_A_K_A_I1_A_N_A_092_060rho_062_J_A_092_060le_062_AIC_Ap_Ai_At_A_N_AIC_Ap_Ai_As_092_060close_062])])). 3.07/3.28 thf(c_0_16, plain, ![X6:nat > real > real]:(((genClo2108747023bound2 @ X6)|~((ord_less_eq_real @ (times_times_real @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho) @ (minus_minus_real @ (esk3_1 @ X6) @ (esk2_1 @ X6))) @ (minus_minus_real @ (X6 @ (esk1_1 @ X6) @ (esk3_1 @ X6)) @ (X6 @ (esk1_1 @ X6) @ (esk2_1 @ X6))))))), inference(rw,[status(thm)],[c_0_11, c_0_12])). 3.07/3.28 thf(c_0_17, plain, ![X1:nat, X2:real]:(((esk24_0 @ X1 @ X2)=(genClo1160817912lle_IC @ X1 @ i @ X2))), inference(arg_cong,[status(thm)],[c_0_13])). 3.07/3.28 thf(c_0_18, negated_conjecture, ~((genClo2108747023bound2 @ esk24_0)), inference(cn,[status(thm)],[c_0_14])). 3.07/3.28 thf(c_0_19, plain, ![X1:nat, X3:real, X2:real]:(((ord_less_eq_real @ (times_times_real @ (minus_minus_real @ X2 @ X3) @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho)) @ (minus_minus_real @ (genClo1160817912lle_IC @ X1 @ i @ X2) @ (genClo1160817912lle_IC @ X1 @ i @ X3)))|~((genClo1015804716orrect @ X1 @ X2))|~((ord_less_eq_real @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_15])). 3.07/3.28 thf(c_0_20, plain, ~((ord_less_eq_real @ (times_times_real @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho) @ (minus_minus_real @ (esk3_1 @ esk24_0) @ (esk2_1 @ esk24_0))) @ (minus_minus_real @ (genClo1160817912lle_IC @ (esk1_1 @ esk24_0) @ i @ (esk3_1 @ esk24_0)) @ (genClo1160817912lle_IC @ (esk1_1 @ esk24_0) @ i @ (esk2_1 @ esk24_0))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_17]), c_0_18])). 3.07/3.28 thf(c_0_21, plain, ![X1:nat, X3:real, X2:real]:(((ord_less_eq_real @ (times_times_real @ (minus_minus_real @ one_one_real @ genClo1144207539le_rho) @ (minus_minus_real @ X2 @ X3)) @ (minus_minus_real @ (genClo1160817912lle_IC @ X1 @ i @ X2) @ (genClo1160817912lle_IC @ X1 @ i @ X3)))|~((ord_less_eq_real @ X3 @ X2))|~((genClo1015804716orrect @ X1 @ X2)))), inference(spm,[status(thm)],[c_0_19, c_0_12])). 3.07/3.28 thf(c_0_22, plain, (~((ord_less_eq_real @ (esk2_1 @ esk24_0) @ (esk3_1 @ esk24_0)))|~((genClo1015804716orrect @ (esk1_1 @ esk24_0) @ (esk3_1 @ esk24_0)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 3.07/3.28 thf(c_0_23, plain, ![X6:nat > real > real]:(((ord_less_eq_real @ (esk2_1 @ X6) @ (esk3_1 @ X6))|(genClo2108747023bound2 @ X6))), inference(split_conjunct,[status(thm)],[c_0_6])). 3.07/3.28 thf(c_0_24, plain, ~((genClo1015804716orrect @ (esk1_1 @ esk24_0) @ (esk3_1 @ esk24_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_18])). 3.07/3.28 thf(c_0_25, plain, ![X6:nat > real > real]:(((genClo1015804716orrect @ (esk1_1 @ X6) @ (esk3_1 @ X6))|(genClo2108747023bound2 @ X6))), inference(split_conjunct,[status(thm)],[c_0_6])). 3.07/3.28 thf(c_0_26, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_18]), ['proof']). 3.07/3.28 # SZS output end CNFRefutation 3.07/3.28 # Parsed axioms : 381 3.07/3.28 # Removed by relevancy pruning/SinE : 184 3.07/3.28 # Initial clauses : 384 3.07/3.28 # Removed in clause preprocessing : 18 3.07/3.28 # Initial clauses in saturation : 366 3.07/3.28 # Processed clauses : 18120 3.07/3.28 # ...of these trivial : 187 3.07/3.28 # ...subsumed : 15623 3.07/3.28 # ...remaining for further processing : 2310 3.07/3.28 # Other redundant clauses eliminated : 1701 3.07/3.28 # Clauses deleted for lack of memory : 0 3.07/3.28 # Backward-subsumed : 100 3.07/3.28 # Backward-rewritten : 163 3.07/3.28 # Generated clauses : 184586 3.07/3.28 # ...of the previous two non-redundant : 165272 3.07/3.28 # ...aggressively subsumed : 0 3.07/3.28 # Contextual simplify-reflections : 17 3.07/3.28 # Paramodulations : 182700 3.07/3.28 # Factorizations : 26 3.07/3.28 # NegExts : 0 3.07/3.28 # Equation resolutions : 1732 3.07/3.28 # Propositional unsat checks : 0 3.07/3.28 # Propositional check models : 0 3.07/3.28 # Propositional check unsatisfiable : 0 3.07/3.28 # Propositional clauses : 0 3.07/3.28 # Propositional clauses after purity: 0 3.07/3.28 # Propositional unsat core size : 0 3.07/3.28 # Propositional preprocessing time : 0.000 3.07/3.28 # Propositional encoding time : 0.000 3.07/3.28 # Propositional solver time : 0.000 3.07/3.28 # Success case prop preproc time : 0.000 3.07/3.28 # Success case prop encoding time : 0.000 3.07/3.28 # Success case prop solver time : 0.000 3.07/3.28 # Current number of processed clauses : 1820 3.07/3.28 # Positive orientable unit clauses : 80 3.07/3.28 # Positive unorientable unit clauses: 15 3.07/3.28 # Negative unit clauses : 100 3.07/3.28 # Non-unit-clauses : 1625 3.07/3.28 # Current number of unprocessed clauses: 145683 3.07/3.28 # ...number of literals in the above : 479133 3.07/3.28 # Current number of archived formulas : 0 3.07/3.28 # Current number of archived clauses : 435 3.07/3.28 # Clause-clause subsumption calls (NU) : 376467 3.07/3.28 # Rec. Clause-clause subsumption calls : 223437 3.07/3.28 # Non-unit clause-clause subsumptions : 8627 3.07/3.28 # Unit Clause-clause subsumption calls : 2503 3.07/3.28 # Rewrite failures with RHS unbound : 0 3.07/3.28 # BW rewrite match attempts : 1425 3.07/3.28 # BW rewrite match successes : 505 3.07/3.28 # Condensation attempts : 18120 3.07/3.28 # Condensation successes : 131 3.07/3.28 # Termbank termtop insertions : 3917922 3.07/3.28 3.07/3.28 # ------------------------------------------------- 3.07/3.28 # User time : 2.675 s 3.07/3.28 # System time : 0.108 s 3.07/3.28 # Total time : 2.783 s 3.07/3.28 # Maximum resident set size: 3576 pages 3.07/3.28 3.07/3.28 # ------------------------------------------------- 3.07/3.28 # User time : 2.688 s 3.07/3.28 # System time : 0.110 s 3.07/3.28 # Total time : 2.799 s 3.07/3.28 # Maximum resident set size: 2400 pages 3.07/3.29 EOF