0.13/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.15 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.13/0.37 % Computer : n006.cluster.edu 0.13/0.37 % Model : x86_64 x86_64 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.37 % Memory : 8042.1875MB 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.37 % CPULimit : 1200 0.13/0.37 % WCLimit : 120 0.13/0.37 % DateTime : Tue Jul 13 10:26:10 EDT 2021 0.13/0.37 % CPUTime : 0.21/0.37 % Number of cores: 8 0.21/0.37 % Python version: Python 3.6.8 0.21/0.37 # Version: 2.6rc1-ho 0.21/0.37 # No SInE strategy applied 0.21/0.37 # Trying AutoSched0 for 59 seconds 0.21/0.46 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S4Y 0.21/0.46 # and selection function SelectMaxLComplexAPPNTNp. 0.21/0.46 # 0.21/0.46 # Preprocessing time : 0.028 s 0.21/0.46 # Presaturation interreduction done 0.21/0.46 0.21/0.46 # Proof found! 0.21/0.46 # SZS status Theorem 0.21/0.46 # SZS output start CNFRefutation 0.21/0.46 thf(satz50, axiom, ![X1:frac, X2:frac, X3:frac]:((lessf @ X1 @ X3<=lessf @ X2 @ X3)<=lessf @ X1 @ X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz50)). 0.21/0.46 thf(satz42, axiom, ![X1:frac, X2:frac]:(lessf @ X2 @ X1<=moref @ X1 @ X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz42)). 0.21/0.46 thf(satz44, axiom, ![X1:frac, X2:frac, X3:frac, X4:frac]:(moref @ X1 @ X2=>((eq @ X2 @ X4=>moref @ X3 @ X4)<=eq @ X1 @ X3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz44)). 0.21/0.46 thf(satz61, axiom, ![X1:frac, X2:frac, X3:frac]:(moref @ (pf @ X1 @ X3) @ (pf @ X2 @ X3)<=moref @ X1 @ X2), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz61)). 0.21/0.46 thf(satz58, axiom, ![X1:frac, X2:frac]:eq @ (pf @ X1 @ X2) @ (pf @ X2 @ X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz58)). 0.21/0.46 thf(satz43, axiom, ![X1:frac, X2:frac]:(lessf @ X1 @ X2=>moref @ X2 @ X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz43)). 0.21/0.46 thf(satz64, conjecture, moref @ (pf @ x @ z) @ (pf @ y @ u), file('/export/starexec/sandbox/benchmark/theBenchmark.p', satz64)). 0.21/0.46 thf(m, axiom, moref @ x @ y, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m)). 0.21/0.46 thf(n, axiom, moref @ z @ u, file('/export/starexec/sandbox/benchmark/theBenchmark.p', n)). 0.21/0.46 thf(c_0_9, plain, ![X1:frac, X2:frac, X3:frac]:(lessf @ X1 @ X2=>(lessf @ X2 @ X3=>lessf @ X1 @ X3)), inference(fof_simplification,[status(thm)],[satz50])). 0.21/0.46 thf(c_0_10, plain, ![X1:frac, X2:frac]:(moref @ X1 @ X2=>lessf @ X2 @ X1), inference(fof_simplification,[status(thm)],[satz42])). 0.21/0.46 thf(c_0_11, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(moref @ X1 @ X2=>(eq @ X1 @ X3=>(eq @ X2 @ X4=>moref @ X3 @ X4))), inference(fof_simplification,[status(thm)],[satz44])). 0.21/0.46 thf(c_0_12, plain, ![X30:frac, X31:frac, X32:frac]:(~lessf @ X30 @ X31|(~lessf @ X31 @ X32|lessf @ X30 @ X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])). 0.21/0.46 thf(c_0_13, plain, ![X35:frac, X36:frac]:(~moref @ X35 @ X36|lessf @ X36 @ X35), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])). 0.21/0.46 thf(c_0_14, plain, ![X1:frac, X2:frac, X3:frac]:(moref @ X1 @ X2=>moref @ (pf @ X1 @ X3) @ (pf @ X2 @ X3)), inference(fof_simplification,[status(thm)],[satz61])). 0.21/0.46 thf(c_0_15, plain, ![X21:frac, X22:frac, X23:frac, X24:frac]:(~moref @ X21 @ X22|(~eq @ X21 @ X23|(~eq @ X22 @ X24|moref @ X23 @ X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])). 0.21/0.46 thf(c_0_16, plain, ![X33:frac, X34:frac]:eq @ (pf @ X33 @ X34) @ (pf @ X34 @ X33), inference(variable_rename,[status(thm)],[satz58])). 0.21/0.46 thf(c_0_17, plain, ![X1:frac, X2:frac, X3:frac]:(lessf @ X1 @ X3|~lessf @ X1 @ X2|~lessf @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_12])). 0.21/0.46 thf(c_0_18, plain, ![X1:frac, X2:frac]:(lessf @ X2 @ X1|~moref @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_13])). 0.21/0.46 thf(c_0_19, plain, ![X27:frac, X28:frac, X29:frac]:(~moref @ X27 @ X28|moref @ (pf @ X27 @ X29) @ (pf @ X28 @ X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])). 0.21/0.46 thf(c_0_20, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(moref @ X3 @ X4|~moref @ X1 @ X2|~eq @ X1 @ X3|~eq @ X2 @ X4), inference(split_conjunct,[status(thm)],[c_0_15])). 0.21/0.46 thf(c_0_21, plain, ![X2:frac, X1:frac]:eq @ (pf @ X1 @ X2) @ (pf @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_16])). 0.21/0.46 thf(c_0_22, plain, ![X1:frac, X2:frac, X3:frac]:(lessf @ X1 @ X2|~lessf @ X1 @ X3|~moref @ X2 @ X3), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.21/0.46 thf(c_0_23, plain, ![X1:frac, X3:frac, X2:frac]:(moref @ (pf @ X1 @ X3) @ (pf @ X2 @ X3)|~moref @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_19])). 0.21/0.46 thf(c_0_24, plain, ![X2:frac, X4:frac, X3:frac, X1:frac]:(moref @ X1 @ (pf @ X2 @ X3)|~moref @ X4 @ (pf @ X3 @ X2)|~eq @ X4 @ X1), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.21/0.46 thf(c_0_25, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(lessf @ X1 @ (pf @ X2 @ X3)|~lessf @ X1 @ (pf @ X4 @ X3)|~moref @ X2 @ X4), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.21/0.46 thf(c_0_26, plain, ![X1:frac, X2:frac, X4:frac, X3:frac]:(moref @ X1 @ (pf @ X2 @ X3)|~eq @ (pf @ X4 @ X2) @ X1|~moref @ X4 @ X3), inference(spm,[status(thm)],[c_0_24, c_0_23])). 0.21/0.46 thf(c_0_27, plain, ![X25:frac, X26:frac]:(~lessf @ X25 @ X26|moref @ X26 @ X25), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[satz43])])). 0.21/0.46 thf(c_0_28, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(lessf @ X1 @ (pf @ X2 @ X3)|~moref @ (pf @ X4 @ X3) @ X1|~moref @ X2 @ X4), inference(spm,[status(thm)],[c_0_25, c_0_18])). 0.21/0.46 thf(c_0_29, plain, ![X1:frac, X2:frac, X3:frac]:(moref @ (pf @ X1 @ X2) @ (pf @ X1 @ X3)|~moref @ X2 @ X3), inference(spm,[status(thm)],[c_0_26, c_0_21])). 0.21/0.46 thf(c_0_30, negated_conjecture, ~moref @ (pf @ x @ z) @ (pf @ y @ u), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz64])])). 0.21/0.46 thf(c_0_31, plain, ![X1:frac, X2:frac]:(moref @ X2 @ X1|~lessf @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_27])). 0.21/0.46 thf(c_0_32, plain, ![X1:frac, X3:frac, X4:frac, X2:frac]:(lessf @ (pf @ X1 @ X2) @ (pf @ X3 @ X4)|~moref @ X3 @ X1|~moref @ X4 @ X2), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.21/0.46 thf(c_0_33, negated_conjecture, ~moref @ (pf @ x @ z) @ (pf @ y @ u), inference(split_conjunct,[status(thm)],[c_0_30])). 0.21/0.46 thf(c_0_34, plain, ![X1:frac, X2:frac, X3:frac, X4:frac]:(moref @ (pf @ X1 @ X2) @ (pf @ X3 @ X4)|~moref @ X1 @ X3|~moref @ X2 @ X4), inference(spm,[status(thm)],[c_0_31, c_0_32])). 0.21/0.46 thf(c_0_35, plain, moref @ x @ y, inference(split_conjunct,[status(thm)],[m])). 0.21/0.46 thf(c_0_36, plain, moref @ z @ u, inference(split_conjunct,[status(thm)],[n])). 0.21/0.46 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']). 0.21/0.46 # SZS output end CNFRefutation 0.21/0.46 # Proof object total steps : 38 0.21/0.46 # Proof object clause steps : 18 0.21/0.46 # Proof object formula steps : 20 0.21/0.46 # Proof object conjectures : 4 0.21/0.46 # Proof object clause conjectures : 2 0.21/0.46 # Proof object formula conjectures : 2 0.21/0.46 # Proof object initial clauses used : 9 0.21/0.46 # Proof object initial formulas used : 9 0.21/0.46 # Proof object generating inferences : 9 0.21/0.46 # Proof object simplifying inferences : 3 0.21/0.46 # Training examples: 0 positive, 0 negative 0.21/0.46 # Parsed axioms : 18 0.21/0.46 # Removed by relevancy pruning/SinE : 0 0.21/0.46 # Initial clauses : 18 0.21/0.46 # Removed in clause preprocessing : 9 0.21/0.46 # Initial clauses in saturation : 9 0.21/0.46 # Processed clauses : 479 0.21/0.46 # ...of these trivial : 0 0.21/0.46 # ...subsumed : 180 0.21/0.46 # ...remaining for further processing : 299 0.21/0.46 # Other redundant clauses eliminated : 0 0.21/0.46 # Clauses deleted for lack of memory : 0 0.21/0.47 # Backward-subsumed : 0 0.21/0.47 # Backward-rewritten : 0 0.21/0.47 # Generated clauses : 2460 0.21/0.47 # ...of the previous two non-trivial : 2458 0.21/0.47 # Contextual simplify-reflections : 0 0.21/0.47 # Paramodulations : 2460 0.21/0.47 # Factorizations : 0 0.21/0.47 # NegExts : 0 0.21/0.47 # Equation resolutions : 0 0.21/0.47 # Propositional unsat checks : 0 0.21/0.47 # Propositional check models : 0 0.21/0.47 # Propositional check unsatisfiable : 0 0.21/0.47 # Propositional clauses : 0 0.21/0.47 # Propositional clauses after purity: 0 0.21/0.47 # Propositional unsat core size : 0 0.21/0.47 # Propositional preprocessing time : 0.000 0.21/0.47 # Propositional encoding time : 0.000 0.21/0.47 # Propositional solver time : 0.000 0.21/0.47 # Success case prop preproc time : 0.000 0.21/0.47 # Success case prop encoding time : 0.000 0.21/0.47 # Success case prop solver time : 0.000 0.21/0.47 # Current number of processed clauses : 290 0.21/0.47 # Positive orientable unit clauses : 3 0.21/0.47 # Positive unorientable unit clauses: 0 0.21/0.47 # Negative unit clauses : 3 0.21/0.47 # Non-unit-clauses : 284 0.21/0.47 # Current number of unprocessed clauses: 1946 0.21/0.47 # ...number of literals in the above : 9087 0.21/0.47 # Current number of archived formulas : 0 0.21/0.47 # Current number of archived clauses : 9 0.21/0.47 # Clause-clause subsumption calls (NU) : 17177 0.21/0.47 # Rec. Clause-clause subsumption calls : 12151 0.21/0.47 # Non-unit clause-clause subsumptions : 180 0.21/0.47 # Unit Clause-clause subsumption calls : 360 0.21/0.47 # Rewrite failures with RHS unbound : 0 0.21/0.47 # BW rewrite match attempts : 0 0.21/0.47 # BW rewrite match successes : 0 0.21/0.47 # Condensation attempts : 0 0.21/0.47 # Condensation successes : 0 0.21/0.47 # Termbank termtop insertions : 41078 0.21/0.47 0.21/0.47 # ------------------------------------------------- 0.21/0.47 # User time : 0.092 s 0.21/0.47 # System time : 0.003 s 0.21/0.47 # Total time : 0.095 s 0.21/0.47 # Maximum resident set size: 1648 pages 0.21/0.47 EOF