0.10/0.12 % Problem : SLH540^1 : TPTP v7.5.0. Released v7.5.0. 0.10/0.13 % 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 03:18:00 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.46 The problem SPC is TH0_THM_EQU_NAR 0.19/0.46 Running higher-order on 1 cores theorem proving 0.19/0.46 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 0.19/0.47 # Version: 3.0pre003-ho 0.19/0.58 # Preprocessing class: HSLSSMSMSSSNSFA. 0.19/0.58 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.19/0.58 # Starting new_ho_10 with 30s (1) cores 0.19/0.58 # new_ho_10 with pid 808 completed with status 0 0.19/0.58 # Result found by new_ho_10 0.19/0.58 # Preprocessing class: HSLSSMSMSSSNSFA. 0.19/0.58 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.19/0.58 # Starting new_ho_10 with 30s (1) cores 0.19/0.58 # No SInE strategy applied 0.19/0.58 # Search class: HGHSM-FSLM21-MSFFFFBN 0.19/0.58 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.19/0.58 # Starting new_ho_10 with 19s (1) cores 0.19/0.58 # new_ho_10 with pid 809 completed with status 0 0.19/0.58 # Result found by new_ho_10 0.19/0.58 # Preprocessing class: HSLSSMSMSSSNSFA. 0.19/0.58 # Scheduled 1 strats onto 1 cores with 30 seconds (30 total) 0.19/0.58 # Starting new_ho_10 with 30s (1) cores 0.19/0.58 # No SInE strategy applied 0.19/0.58 # Search class: HGHSM-FSLM21-MSFFFFBN 0.19/0.58 # Scheduled 4 strats onto 1 cores with 30 seconds (30 total) 0.19/0.58 # Starting new_ho_10 with 19s (1) cores 0.19/0.58 # Preprocessing time : 0.007 s 0.19/0.58 # Presaturation interreduction done 0.19/0.58 0.19/0.58 # Proof found! 0.19/0.58 # SZS status Theorem 0.19/0.58 # SZS output start CNFRefutation 0.19/0.58 thf(decl_22, type, one_one_int: int). 0.19/0.58 thf(decl_23, type, one_one_nat: nat). 0.19/0.58 thf(decl_24, type, one_one_real: real). 0.19/0.58 thf(decl_25, type, times_times_int: int > int > int). 0.19/0.58 thf(decl_26, type, times_times_nat: nat > nat > nat). 0.19/0.58 thf(decl_27, type, times_times_num: num > num > num). 0.19/0.58 thf(decl_28, type, times_times_real: real > real > real). 0.19/0.58 thf(decl_29, type, zero_zero_int: int). 0.19/0.58 thf(decl_30, type, zero_zero_nat: nat). 0.19/0.58 thf(decl_31, type, zero_zero_real: real). 0.19/0.58 thf(decl_32, type, ring_1_of_int_int: int > int). 0.19/0.58 thf(decl_33, type, ring_1_of_int_real: int > real). 0.19/0.58 thf(decl_34, type, liouvi1159869758uville: real > (nat > int) > (nat > int) > $o). 0.19/0.58 thf(decl_35, type, bit0: num > num). 0.19/0.58 thf(decl_36, type, one: num). 0.19/0.58 thf(decl_37, type, numeral_numeral_int: num > int). 0.19/0.58 thf(decl_38, type, numeral_numeral_nat: num > nat). 0.19/0.58 thf(decl_39, type, numeral_numeral_real: num > real). 0.19/0.58 thf(decl_40, type, ord_less_int: int > int > $o). 0.19/0.58 thf(decl_41, type, ord_less_nat: nat > nat > $o). 0.19/0.58 thf(decl_42, type, ord_less_num: num > num > $o). 0.19/0.58 thf(decl_43, type, ord_less_real: real > real > $o). 0.19/0.58 thf(decl_44, type, field_1537545994s_real: set_real). 0.19/0.58 thf(decl_45, type, divide_divide_int: int > int > int). 0.19/0.58 thf(decl_46, type, divide_divide_nat: nat > nat > nat). 0.19/0.58 thf(decl_47, type, divide_divide_real: real > real > real). 0.19/0.58 thf(decl_48, type, collect_real: (real > $o) > set_real). 0.19/0.58 thf(decl_49, type, arcosh_real: real > real). 0.19/0.58 thf(decl_50, type, log: real > real > real). 0.19/0.58 thf(decl_51, type, powr_real: real > real > real). 0.19/0.58 thf(decl_52, type, member_real: real > set_real > $o). 0.19/0.58 thf(decl_53, type, c: int). 0.19/0.58 thf(decl_54, type, d: int). 0.19/0.58 thf(decl_55, type, n: nat). 0.19/0.58 thf(decl_56, type, p: nat > int). 0.19/0.58 thf(decl_57, type, q: nat > int). 0.19/0.58 thf(decl_58, type, x: real). 0.19/0.58 thf(decl_59, type, esk1_0: int). 0.19/0.58 thf(decl_60, type, esk2_0: int). 0.19/0.58 thf(decl_61, type, esk3_1: real > real). 0.19/0.58 thf(decl_62, type, esk4_1: real > real). 0.19/0.58 thf(decl_63, type, esk5_1: real > int). 0.19/0.58 thf(decl_64, type, esk6_1: real > int). 0.19/0.58 thf(decl_65, type, epred1_1: set_real > real > $o). 0.19/0.58 thf(fact_37_of__int__eq__1__iff, axiom, ![X1:int]:((((ring_1_of_int_real @ X1)=(one_one_real))<=>((X1)=(one_one_int)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_37_of__int__eq__1__iff)). 0.19/0.58 thf(fact_5_of__int__numeral, axiom, ![X3:num]:(((ring_1_of_int_real @ (numeral_numeral_int @ X3))=(numeral_numeral_real @ X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_5_of__int__numeral)). 0.19/0.58 thf(fact_76_not__numeral__less__one, axiom, ![X2:num]:(~((ord_less_int @ (numeral_numeral_int @ X2) @ one_one_int))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_76_not__numeral__less__one)). 0.19/0.58 thf(fact_25_numeral__less__iff, axiom, ![X4:num, X2:num]:(((ord_less_int @ (numeral_numeral_int @ X4) @ (numeral_numeral_int @ X2))<=>(ord_less_num @ X4 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_25_numeral__less__iff)). 0.19/0.58 thf(fact_140_semiring__norm_I76_J, axiom, ![X2:num]:((ord_less_num @ one @ (bit0 @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_140_semiring__norm_I76_J)). 0.19/0.58 thf(conj_0, conjecture, ((ring_1_of_int_real @ d)=(powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_0)). 0.19/0.58 thf(fact_130_powr__log__cancel, axiom, ![X55:real, X29:real]:(((ord_less_real @ zero_zero_real @ X55)=>(((X55)!=(one_one_real))=>((ord_less_real @ zero_zero_real @ X29)=>((powr_real @ X55 @ (log @ X55 @ X29))=(X29)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_130_powr__log__cancel)). 0.19/0.58 thf(fact_80_zero__less__numeral, axiom, ![X2:num]:((ord_less_real @ zero_zero_real @ (numeral_numeral_real @ X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_80_zero__less__numeral)). 0.19/0.58 thf(fact_47_of__int__0__less__iff, axiom, ![X1:int]:(((ord_less_real @ zero_zero_real @ (ring_1_of_int_real @ X1))<=>(ord_less_int @ zero_zero_int @ X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_47_of__int__0__less__iff)). 0.19/0.58 thf(fact_0_d_I2_J, axiom, (ord_less_int @ zero_zero_int @ d), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_0_d_I2_J)). 0.19/0.58 thf(c_0_10, plain, ![X1023:int]:(((((ring_1_of_int_real @ X1023)!=(one_one_real))|((X1023)=(one_one_int)))&(((X1023)!=(one_one_int))|((ring_1_of_int_real @ X1023)=(one_one_real))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_37_of__int__eq__1__iff])])). 0.19/0.58 thf(c_0_11, plain, ![X981:num]:(((ring_1_of_int_real @ (numeral_numeral_int @ X981))=(numeral_numeral_real @ X981))), inference(variable_rename,[status(thm)],[fact_5_of__int__numeral])). 0.19/0.58 thf(c_0_12, plain, ![X2:num]:(~(ord_less_int @ (numeral_numeral_int @ X2) @ one_one_int)), inference(fof_simplification,[status(thm)],[fact_76_not__numeral__less__one])). 0.19/0.58 thf(c_0_13, plain, ![X1010:num, X1011:num]:(((~(ord_less_int @ (numeral_numeral_int @ X1010) @ (numeral_numeral_int @ X1011))|(ord_less_num @ X1010 @ X1011))&(~(ord_less_num @ X1010 @ X1011)|(ord_less_int @ (numeral_numeral_int @ X1010) @ (numeral_numeral_int @ X1011))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_25_numeral__less__iff])])). 0.19/0.58 thf(c_0_14, plain, ![X1:int]:((((X1)=(one_one_int))|((ring_1_of_int_real @ X1)!=(one_one_real)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.19/0.58 thf(c_0_15, plain, ![X2:num]:(((ring_1_of_int_real @ (numeral_numeral_int @ X2))=(numeral_numeral_real @ X2))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.58 thf(c_0_16, plain, ![X1052:num]:(~(ord_less_int @ (numeral_numeral_int @ X1052) @ one_one_int)), inference(variable_rename,[status(thm)],[c_0_12])). 0.19/0.58 thf(c_0_17, plain, ![X2:num, X3:num]:(((ord_less_int @ (numeral_numeral_int @ X2) @ (numeral_numeral_int @ X3))|~((ord_less_num @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.19/0.58 thf(c_0_18, plain, ![X2:num]:((((numeral_numeral_int @ X2)=(one_one_int))|((numeral_numeral_real @ X2)!=(one_one_real)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.19/0.58 thf(c_0_19, plain, ![X2:num]:(~((ord_less_int @ (numeral_numeral_int @ X2) @ one_one_int))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.58 thf(c_0_20, plain, ![X1137:num]:((ord_less_num @ one @ (bit0 @ X1137))), inference(variable_rename,[status(thm)],[fact_140_semiring__norm_I76_J])). 0.19/0.58 thf(c_0_21, negated_conjecture, ((ring_1_of_int_real @ d)!=(powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 0.19/0.58 thf(c_0_22, plain, ![X1122:real, X1123:real]:((~(ord_less_real @ zero_zero_real @ X1122)|(((X1122)=(one_one_real))|(~(ord_less_real @ zero_zero_real @ X1123)|((powr_real @ X1122 @ (log @ X1122 @ X1123))=(X1123)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_130_powr__log__cancel])])). 0.19/0.58 thf(c_0_23, plain, ![X1056:num]:((ord_less_real @ zero_zero_real @ (numeral_numeral_real @ X1056))), inference(variable_rename,[status(thm)],[fact_80_zero__less__numeral])). 0.19/0.58 thf(c_0_24, plain, ![X3:num, X2:num]:((((numeral_numeral_real @ X2)!=(one_one_real))|~((ord_less_num @ X3 @ X2)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])). 0.19/0.58 thf(c_0_25, plain, ![X2:num]:((ord_less_num @ one @ (bit0 @ X2))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.19/0.58 thf(c_0_26, negated_conjecture, ((ring_1_of_int_real @ d)!=(powr_real @ (numeral_numeral_real @ (bit0 @ one)) @ (log @ (numeral_numeral_real @ (bit0 @ one)) @ (ring_1_of_int_real @ d)))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.19/0.58 thf(c_0_27, plain, ![X12:real, X15:real]:((((X12)=(one_one_real))|((powr_real @ X12 @ (log @ X12 @ X15))=(X15))|~((ord_less_real @ zero_zero_real @ X12))|~((ord_less_real @ zero_zero_real @ X15)))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.19/0.58 thf(c_0_28, plain, ![X2:num]:((ord_less_real @ zero_zero_real @ (numeral_numeral_real @ X2))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.19/0.58 thf(c_0_29, plain, ![X2:num]:(((numeral_numeral_real @ (bit0 @ X2))!=(one_one_real))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.19/0.58 thf(c_0_30, plain, ![X1031:int]:(((~(ord_less_real @ zero_zero_real @ (ring_1_of_int_real @ X1031))|(ord_less_int @ zero_zero_int @ X1031))&(~(ord_less_int @ zero_zero_int @ X1031)|(ord_less_real @ zero_zero_real @ (ring_1_of_int_real @ X1031))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_47_of__int__0__less__iff])])). 0.19/0.58 thf(c_0_31, negated_conjecture, ~((ord_less_real @ zero_zero_real @ (ring_1_of_int_real @ d))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])]), c_0_29])). 0.19/0.58 thf(c_0_32, plain, ![X1:int]:(((ord_less_real @ zero_zero_real @ (ring_1_of_int_real @ X1))|~((ord_less_int @ zero_zero_int @ X1)))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.19/0.58 thf(c_0_33, plain, (ord_less_int @ zero_zero_int @ d), inference(split_conjunct,[status(thm)],[fact_0_d_I2_J])). 0.19/0.58 thf(c_0_34, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])]), ['proof']). 0.19/0.58 # SZS output end CNFRefutation 0.19/0.58 # Parsed axioms : 397 0.19/0.58 # Removed by relevancy pruning/SinE : 0 0.19/0.58 # Initial clauses : 647 0.19/0.58 # Removed in clause preprocessing : 69 0.19/0.58 # Initial clauses in saturation : 578 0.19/0.58 # Processed clauses : 997 0.19/0.58 # ...of these trivial : 17 0.19/0.58 # ...subsumed : 228 0.19/0.58 # ...remaining for further processing : 752 0.19/0.58 # Other redundant clauses eliminated : 127 0.19/0.58 # Clauses deleted for lack of memory : 0 0.19/0.58 # Backward-subsumed : 9 0.19/0.58 # Backward-rewritten : 8 0.19/0.58 # Generated clauses : 1916 0.19/0.58 # ...of the previous two non-redundant : 1376 0.19/0.58 # ...aggressively subsumed : 0 0.19/0.58 # Contextual simplify-reflections : 0 0.19/0.58 # Paramodulations : 1780 0.19/0.58 # Factorizations : 0 0.19/0.58 # NegExts : 0 0.19/0.58 # Equation resolutions : 142 0.19/0.58 # Propositional unsat checks : 0 0.19/0.58 # Propositional check models : 0 0.19/0.58 # Propositional check unsatisfiable : 0 0.19/0.58 # Propositional clauses : 0 0.19/0.58 # Propositional clauses after purity: 0 0.19/0.58 # Propositional unsat core size : 0 0.19/0.58 # Propositional preprocessing time : 0.000 0.19/0.58 # Propositional encoding time : 0.000 0.19/0.58 # Propositional solver time : 0.000 0.19/0.58 # Success case prop preproc time : 0.000 0.19/0.58 # Success case prop encoding time : 0.000 0.19/0.58 # Success case prop solver time : 0.000 0.19/0.58 # Current number of processed clauses : 276 0.19/0.58 # Positive orientable unit clauses : 75 0.19/0.58 # Positive unorientable unit clauses: 5 0.19/0.58 # Negative unit clauses : 27 0.19/0.58 # Non-unit-clauses : 169 0.19/0.58 # Current number of unprocessed clauses: 1296 0.19/0.58 # ...number of literals in the above : 3425 0.19/0.58 # Current number of archived formulas : 0 0.19/0.58 # Current number of archived clauses : 379 0.19/0.58 # Clause-clause subsumption calls (NU) : 31578 0.19/0.58 # Rec. Clause-clause subsumption calls : 26940 0.19/0.58 # Non-unit clause-clause subsumptions : 126 0.19/0.58 # Unit Clause-clause subsumption calls : 614 0.19/0.58 # Rewrite failures with RHS unbound : 0 0.19/0.58 # BW rewrite match attempts : 30 0.19/0.58 # BW rewrite match successes : 30 0.19/0.58 # Condensation attempts : 997 0.19/0.58 # Condensation successes : 0 0.19/0.58 # Termbank termtop insertions : 56550 0.19/0.58 0.19/0.58 # ------------------------------------------------- 0.19/0.58 # User time : 0.103 s 0.19/0.58 # System time : 0.002 s 0.19/0.58 # Total time : 0.106 s 0.19/0.58 # Maximum resident set size: 3980 pages 0.19/0.58 0.19/0.58 # ------------------------------------------------- 0.19/0.58 # User time : 0.111 s 0.19/0.58 # System time : 0.007 s 0.19/0.58 # Total time : 0.118 s 0.19/0.58 # Maximum resident set size: 2220 pages 0.19/0.58 EOF