0.06/0.12 % Problem : SLH611^1 : TPTP v7.5.0. Released v7.5.0. 0.06/0.14 % 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 03:22:15 EDT 2022 0.13/0.34 % CPUTime : 0.20/0.47 The problem SPC is TH0_THM_EQU_NAR 0.20/0.47 Running higher-order on 1 cores theorem proving 0.20/0.47 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 0.20/0.47 # Version: 3.0pre003-ho 0.42/0.61 # Preprocessing class: HSLSSMSSSSSNHFA. 0.42/0.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.61 # Starting new_ho_10 with 30s (1) cores 0.42/0.61 # new_ho_10 with pid 9931 completed with status 0 0.42/0.61 # Result found by new_ho_10 0.42/0.61 # Preprocessing class: HSLSSMSSSSSNHFA. 0.42/0.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.61 # Starting new_ho_10 with 30s (1) cores 0.42/0.61 # No SInE strategy applied 0.42/0.61 # Search class: HGUSM-FSLM32-MHFFFFBN 0.42/0.61 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.42/0.61 # Starting sh3 with 17s (1) cores 0.42/0.61 # sh3 with pid 9932 completed with status 0 0.42/0.61 # Result found by sh3 0.42/0.61 # Preprocessing class: HSLSSMSSSSSNHFA. 0.42/0.61 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.42/0.61 # Starting new_ho_10 with 30s (1) cores 0.42/0.61 # No SInE strategy applied 0.42/0.61 # Search class: HGUSM-FSLM32-MHFFFFBN 0.42/0.61 # Scheduled 5 strats onto 1 cores with 30 seconds (30 total) 0.42/0.61 # Starting sh3 with 17s (1) cores 0.42/0.61 # Preprocessing time : 0.007 s 0.42/0.61 # Presaturation interreduction done 0.42/0.61 0.42/0.61 # Proof found! 0.42/0.61 # SZS status Theorem 0.42/0.61 # SZS output start CNFRefutation 0.42/0.61 thf(decl_22, type, minus_minus_nat: nat > nat > nat). 0.42/0.61 thf(decl_23, type, minus_minus_real: real > real > real). 0.42/0.61 thf(decl_24, type, one_one_nat: nat). 0.42/0.61 thf(decl_25, type, one_one_real: real). 0.42/0.61 thf(decl_26, type, plus_plus_nat: nat > nat > nat). 0.42/0.61 thf(decl_27, type, plus_plus_real: real > real > real). 0.42/0.61 thf(decl_28, type, times_times_nat: nat > nat > nat). 0.42/0.61 thf(decl_29, type, times_times_real: real > real > real). 0.42/0.61 thf(decl_30, type, zero_zero_nat: nat). 0.42/0.61 thf(decl_31, type, zero_zero_real: real). 0.42/0.61 thf(decl_32, type, ord_less_eq_nat: nat > nat > $o). 0.42/0.61 thf(decl_33, type, ord_less_eq_real: real > real > $o). 0.42/0.61 thf(decl_34, type, collect_real: (real > $o) > set_real). 0.42/0.61 thf(decl_35, type, member_real: real > set_real > $o). 0.42/0.61 thf(decl_36, type, t: real). 0.42/0.61 thf(decl_37, type, t2: real). 0.42/0.61 thf(decl_38, type, xa: real). 0.42/0.61 thf(decl_39, type, epred1_3: ((nat > real) > nat > real) > (nat > $o) > ((nat > real) > $o) > $o). 0.42/0.61 thf(decl_40, type, esk1_2: (real > $o) > (real > $o) > real). 0.42/0.61 thf(decl_41, type, esk2_2: nat > nat > nat). 0.42/0.61 thf(decl_42, type, esk3_2: nat > nat > nat). 0.42/0.61 thf(decl_43, type, esk4_2: ((nat > real) > $o) > ((nat > real) > nat > real) > nat > real). 0.42/0.61 thf(decl_44, type, esk5_3: ((nat > real) > $o) > ((nat > real) > nat > real) > (nat > $o) > nat > real). 0.42/0.61 thf(decl_45, type, esk6_3: ((nat > real) > $o) > ((nat > real) > nat > real) > (nat > $o) > nat). 0.42/0.61 thf(decl_46, type, esk7_2: set_real > real > real). 0.42/0.61 thf(decl_47, type, esk8_1: set_real > real). 0.42/0.61 thf(decl_48, type, esk9_2: set_real > real > real). 0.42/0.61 thf(decl_49, type, esk10_2: (nat > $o) > nat > nat). 0.42/0.61 thf(decl_50, type, esk11_1: (nat > $o) > nat). 0.42/0.61 thf(decl_51, type, esk12_2: nat > nat > nat). 0.42/0.61 thf(decl_52, type, esk13_3: ((nat > real) > $o) > (nat > $o) > ((nat > real) > nat > real) > (nat > real) > nat > nat). 0.42/0.61 thf(decl_53, type, epred2_1: set_real > real > $o). 0.42/0.61 thf(fact_100_add_Ocommute, axiom, ((plus_plus_real)=(^[X81:real, X82:real]:(plus_plus_real @ X82 @ X81))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_100_add_Ocommute)). 0.42/0.61 thf(conj_2, conjecture, (ord_less_eq_real @ (plus_plus_real @ (times_times_real @ (minus_minus_real @ one_one_real @ xa) @ t) @ (times_times_real @ xa @ t2)) @ t2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)). 0.42/0.61 thf(fact_74_diff__add__cancel, axiom, ![X2:real, X1:real]:(((plus_plus_real @ (minus_minus_real @ X2 @ X1) @ X1)=(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_74_diff__add__cancel)). 0.42/0.61 thf(fact_12_diff__ge__0__iff__ge, axiom, ![X2:real, X1:real]:(((ord_less_eq_real @ zero_zero_real @ (minus_minus_real @ X2 @ X1))<=>(ord_less_eq_real @ X1 @ X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_12_diff__ge__0__iff__ge)). 0.42/0.61 thf(fact_52_cancel__comm__monoid__add__class_Odiff__cancel, axiom, ![X2:real]:(((minus_minus_real @ X2 @ X2)=(zero_zero_real))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_52_cancel__comm__monoid__add__class_Odiff__cancel)). 0.42/0.61 thf(fact_272_convex__bound__le, axiom, ![X9:real, X2:real, X10:real, X297:real, X298:real]:(((ord_less_eq_real @ X9 @ X2)=>((ord_less_eq_real @ X10 @ X2)=>((ord_less_eq_real @ zero_zero_real @ X297)=>((ord_less_eq_real @ zero_zero_real @ X298)=>(((plus_plus_real @ X297 @ X298)=(one_one_real))=>(ord_less_eq_real @ (plus_plus_real @ (times_times_real @ X297 @ X9) @ (times_times_real @ X298 @ X10)) @ X2))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_272_convex__bound__le)). 0.42/0.61 thf(fact_119_le__numeral__extra_I3_J, axiom, (ord_less_eq_real @ zero_zero_real @ zero_zero_real), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_119_le__numeral__extra_I3_J)). 0.42/0.61 thf(conj_0, hypothesis, (ord_less_eq_real @ zero_zero_real @ xa), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 0.42/0.61 thf(fact_0_assms_I1_J, axiom, (ord_less_eq_real @ t @ t2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0_assms_I1_J)). 0.42/0.61 thf(fact_254_add__le__imp__le__diff, axiom, ![X117:real, X107:real, X290:real]:(((ord_less_eq_real @ (plus_plus_real @ X117 @ X107) @ X290)=>(ord_less_eq_real @ X117 @ (minus_minus_real @ X290 @ X107)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_254_add__le__imp__le__diff)). 0.42/0.61 thf(fact_46_add_Oleft__neutral, axiom, ![X2:real]:(((plus_plus_real @ zero_zero_real @ X2)=(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_46_add_Oleft__neutral)). 0.42/0.61 thf(conj_1, hypothesis, (ord_less_eq_real @ xa @ one_one_real), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 0.42/0.61 thf(c_0_12, plain, ![X1234:real, X1235:real]:(((plus_plus_real @ X1234 @ X1235)=(plus_plus_real @ X1235 @ X1234))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_100_add_Ocommute])])). 0.42/0.61 thf(c_0_13, negated_conjecture, ~(ord_less_eq_real @ (plus_plus_real @ (times_times_real @ (minus_minus_real @ one_one_real @ xa) @ t) @ (times_times_real @ xa @ t2)) @ t2), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])])). 0.42/0.61 thf(c_0_14, plain, ![X1442:real, X1443:real]:(((plus_plus_real @ X1442 @ X1443)=(plus_plus_real @ X1443 @ X1442))), inference(variable_rename,[status(thm)],[c_0_12])). 0.42/0.61 thf(c_0_15, plain, ![X1384:real, X1385:real]:(((plus_plus_real @ (minus_minus_real @ X1384 @ X1385) @ X1385)=(X1384))), inference(variable_rename,[status(thm)],[fact_74_diff__add__cancel])). 0.42/0.61 thf(c_0_16, plain, ![X1266:real, X1267:real]:(((~(ord_less_eq_real @ zero_zero_real @ (minus_minus_real @ X1266 @ X1267))|(ord_less_eq_real @ X1267 @ X1266))&(~(ord_less_eq_real @ X1267 @ X1266)|(ord_less_eq_real @ zero_zero_real @ (minus_minus_real @ X1266 @ X1267))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_12_diff__ge__0__iff__ge])])). 0.42/0.61 thf(c_0_17, plain, ![X1347:real]:(((minus_minus_real @ X1347 @ X1347)=(zero_zero_real))), inference(variable_rename,[status(thm)],[fact_52_cancel__comm__monoid__add__class_Odiff__cancel])). 0.42/0.61 thf(c_0_18, negated_conjecture, ~((ord_less_eq_real @ (plus_plus_real @ (times_times_real @ (minus_minus_real @ one_one_real @ xa) @ t) @ (times_times_real @ xa @ t2)) @ t2)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.42/0.61 thf(c_0_19, plain, ![X2:real, X1:real]:(((plus_plus_real @ X1 @ X2)=(plus_plus_real @ X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.42/0.61 thf(c_0_20, plain, ![X1898:real, X1899:real, X1900:real, X1901:real, X1902:real]:((~(ord_less_eq_real @ X1898 @ X1899)|(~(ord_less_eq_real @ X1900 @ X1899)|(~(ord_less_eq_real @ zero_zero_real @ X1901)|(~(ord_less_eq_real @ zero_zero_real @ X1902)|(((plus_plus_real @ X1901 @ X1902)!=(one_one_real))|(ord_less_eq_real @ (plus_plus_real @ (times_times_real @ X1901 @ X1898) @ (times_times_real @ X1902 @ X1900)) @ X1899))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_272_convex__bound__le])])). 0.42/0.61 thf(c_0_21, plain, ![X2:real, X1:real]:(((plus_plus_real @ (minus_minus_real @ X1 @ X2) @ X2)=(X1))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.42/0.61 thf(c_0_22, plain, ![X1:real, X2:real]:(((ord_less_eq_real @ X2 @ X1)|~((ord_less_eq_real @ zero_zero_real @ (minus_minus_real @ X1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.42/0.61 thf(c_0_23, plain, ![X1:real]:(((minus_minus_real @ X1 @ X1)=(zero_zero_real))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.42/0.61 thf(c_0_24, plain, (ord_less_eq_real @ zero_zero_real @ zero_zero_real), inference(split_conjunct,[status(thm)],[fact_119_le__numeral__extra_I3_J])). 0.42/0.61 thf(c_0_25, negated_conjecture, ~((ord_less_eq_real @ (plus_plus_real @ (times_times_real @ xa @ t2) @ (times_times_real @ (minus_minus_real @ one_one_real @ xa) @ t)) @ t2)), inference(rw,[status(thm)],[c_0_18, c_0_19])). 0.42/0.61 thf(c_0_26, plain, ![X1:real, X2:real, X9:real, X10:real, X11:real]:(((ord_less_eq_real @ (plus_plus_real @ (times_times_real @ X10 @ X1) @ (times_times_real @ X11 @ X9)) @ X2)|~((ord_less_eq_real @ X1 @ X2))|~((ord_less_eq_real @ X9 @ X2))|~((ord_less_eq_real @ zero_zero_real @ X10))|~((ord_less_eq_real @ zero_zero_real @ X11))|((plus_plus_real @ X10 @ X11)!=(one_one_real)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.42/0.61 thf(c_0_27, plain, ![X1:real, X2:real]:(((plus_plus_real @ X1 @ (minus_minus_real @ X2 @ X1))=(X2))), inference(rw,[status(thm)],[c_0_21, c_0_19])). 0.42/0.61 thf(c_0_28, hypothesis, (ord_less_eq_real @ zero_zero_real @ xa), inference(split_conjunct,[status(thm)],[conj_0])). 0.42/0.61 thf(c_0_29, plain, (ord_less_eq_real @ t @ t2), inference(split_conjunct,[status(thm)],[fact_0_assms_I1_J])). 0.42/0.61 thf(c_0_30, plain, ![X1:real]:((ord_less_eq_real @ X1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])). 0.42/0.61 thf(c_0_31, plain, ![X1847:real, X1848:real, X1849:real]:((~(ord_less_eq_real @ (plus_plus_real @ X1847 @ X1848) @ X1849)|(ord_less_eq_real @ X1847 @ (minus_minus_real @ X1849 @ X1848)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_254_add__le__imp__le__diff])])). 0.42/0.61 thf(c_0_32, plain, ![X1333:real]:(((plus_plus_real @ zero_zero_real @ X1333)=(X1333))), inference(variable_rename,[status(thm)],[fact_46_add_Oleft__neutral])). 0.42/0.61 thf(c_0_33, negated_conjecture, ~((ord_less_eq_real @ zero_zero_real @ (minus_minus_real @ one_one_real @ xa))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30])])). 0.42/0.61 thf(c_0_34, plain, ![X1:real, X2:real, X9:real]:(((ord_less_eq_real @ X1 @ (minus_minus_real @ X9 @ X2))|~((ord_less_eq_real @ (plus_plus_real @ X1 @ X2) @ X9)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.42/0.61 thf(c_0_35, plain, ![X1:real]:(((plus_plus_real @ zero_zero_real @ X1)=(X1))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.42/0.61 thf(c_0_36, hypothesis, (ord_less_eq_real @ xa @ one_one_real), inference(split_conjunct,[status(thm)],[conj_1])). 0.42/0.61 thf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), c_0_36])]), ['proof']). 0.42/0.61 # SZS output end CNFRefutation 0.42/0.61 # Parsed axioms : 374 0.42/0.61 # Removed by relevancy pruning/SinE : 0 0.42/0.61 # Initial clauses : 533 0.42/0.61 # Removed in clause preprocessing : 48 0.42/0.61 # Initial clauses in saturation : 485 0.42/0.61 # Processed clauses : 892 0.42/0.61 # ...of these trivial : 59 0.42/0.61 # ...subsumed : 233 0.42/0.61 # ...remaining for further processing : 600 0.42/0.61 # Other redundant clauses eliminated : 136 0.42/0.61 # Clauses deleted for lack of memory : 0 0.42/0.61 # Backward-subsumed : 4 0.42/0.61 # Backward-rewritten : 12 0.42/0.61 # Generated clauses : 3828 0.42/0.61 # ...of the previous two non-redundant : 2993 0.42/0.61 # ...aggressively subsumed : 0 0.42/0.61 # Contextual simplify-reflections : 2 0.42/0.61 # Paramodulations : 3689 0.42/0.61 # Factorizations : 4 0.42/0.61 # NegExts : 0 0.42/0.61 # Equation resolutions : 146 0.42/0.61 # Propositional unsat checks : 0 0.42/0.61 # Propositional check models : 0 0.42/0.61 # Propositional check unsatisfiable : 0 0.42/0.61 # Propositional clauses : 0 0.42/0.61 # Propositional clauses after purity: 0 0.42/0.61 # Propositional unsat core size : 0 0.42/0.61 # Propositional preprocessing time : 0.000 0.42/0.61 # Propositional encoding time : 0.000 0.42/0.61 # Propositional solver time : 0.000 0.42/0.61 # Success case prop preproc time : 0.000 0.42/0.61 # Success case prop encoding time : 0.000 0.42/0.61 # Success case prop solver time : 0.000 0.42/0.61 # Current number of processed clauses : 267 0.42/0.61 # Positive orientable unit clauses : 64 0.42/0.61 # Positive unorientable unit clauses: 8 0.42/0.61 # Negative unit clauses : 14 0.42/0.61 # Non-unit-clauses : 181 0.42/0.61 # Current number of unprocessed clauses: 2823 0.42/0.61 # ...number of literals in the above : 6926 0.42/0.61 # Current number of archived formulas : 0 0.42/0.61 # Current number of archived clauses : 255 0.42/0.61 # Clause-clause subsumption calls (NU) : 26053 0.42/0.61 # Rec. Clause-clause subsumption calls : 16675 0.42/0.61 # Non-unit clause-clause subsumptions : 165 0.42/0.61 # Unit Clause-clause subsumption calls : 506 0.42/0.61 # Rewrite failures with RHS unbound : 0 0.42/0.61 # BW rewrite match attempts : 212 0.42/0.61 # BW rewrite match successes : 142 0.42/0.61 # Condensation attempts : 0 0.42/0.61 # Condensation successes : 0 0.42/0.61 # Termbank termtop insertions : 72111 0.42/0.61 0.42/0.61 # ------------------------------------------------- 0.42/0.61 # User time : 0.122 s 0.42/0.61 # System time : 0.009 s 0.42/0.61 # Total time : 0.131 s 0.42/0.61 # Maximum resident set size: 4176 pages 0.42/0.61 0.42/0.61 # ------------------------------------------------- 0.42/0.61 # User time : 0.132 s 0.42/0.61 # System time : 0.013 s 0.42/0.61 # Total time : 0.145 s 0.42/0.61 # Maximum resident set size: 2232 pages 0.42/0.62 EOF