0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % 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 0.14/0.36 % Computer : n015.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 1200 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Jul 13 14:22:49 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 # Version: 2.6rc1-ho 0.14/0.37 # No SInE strategy applied 0.14/0.37 # Trying AutoSched0 for 59 seconds 2.63/2.83 # AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y 2.63/2.83 # and selection function SelectMaxLComplexAvoidPosPred. 2.63/2.83 # 2.63/2.83 # Preprocessing time : 0.064 s 2.63/2.83 2.63/2.83 # Proof found! 2.63/2.83 # SZS status Theorem 2.63/2.83 # SZS output start CNFRefutation 2.63/2.83 thf(fact_20_left_Osimps, axiom, ![X6:a, X7:tree_a, X8:tree_a]:(heapIm1140443833left_a @ (t_a @ X6 @ X7 @ X8))=(X7), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_20_left_Osimps)). 2.63/2.83 thf(fact_5__C4_Oprems_C_I3_J, axiom, (t_a @ v2 @ e_a @ (t_a @ v1 @ l1 @ r1))=(t_a @ va @ la @ ra), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_5__C4_Oprems_C_I3_J)). 2.63/2.83 thf(fact_30_siftDown_Osimps_I4_J, axiom, ![X30:a, X31:tree_a, X32:tree_a, X6:a]:(((heapIm1091024090Down_a @ (t_a @ X6 @ e_a @ (t_a @ X30 @ X31 @ X32)))=(t_a @ X6 @ e_a @ (t_a @ X30 @ X31 @ X32))<=ord_less_eq_a @ (val_a @ (t_a @ X30 @ X31 @ X32)) @ X6)&(~(ord_less_eq_a @ (val_a @ (t_a @ X30 @ X31 @ X32)) @ X6)=>(heapIm1091024090Down_a @ (t_a @ X6 @ e_a @ (t_a @ X30 @ X31 @ X32)))=(t_a @ (val_a @ (t_a @ X30 @ X31 @ X32)) @ e_a @ (heapIm1091024090Down_a @ (t_a @ X6 @ (heapIm1140443833left_a @ (t_a @ X30 @ X31 @ X32)) @ (heapIm1257206334ight_a @ (t_a @ X30 @ X31 @ X32))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_30_siftDown_Osimps_I4_J)). 2.63/2.83 thf(fact_22_val_Osimps, axiom, ![X6:a, X21:tree_a, X22:tree_a]:(val_a @ (t_a @ X6 @ X21 @ X22))=(X6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_22_val_Osimps)). 2.63/2.83 thf(fact_32_is__heap_Osimps_I3_J, axiom, ![X6:a, X30:a, X31:tree_a, X32:tree_a]:(is_heap_a @ (t_a @ X6 @ e_a @ (t_a @ X30 @ X31 @ X32))<=>(ord_less_eq_a @ (val_a @ (t_a @ X30 @ X31 @ X32)) @ X6&is_heap_a @ (t_a @ X30 @ X31 @ X32))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_32_is__heap_Osimps_I3_J)). 2.63/2.83 thf(conj_0, conjecture, is_heap_a @ (heapIm1091024090Down_a @ (t_a @ v2 @ e_a @ (t_a @ v1 @ l1 @ r1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 2.63/2.83 thf(fact_17_Tree_Oexhaust, axiom, ![X203:tree_a]:((X203)!=(e_a)=>~(![X204:a, X205:tree_a, X206:tree_a]:(X203)!=(t_a @ X204 @ X205 @ X206))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_17_Tree_Oexhaust)). 2.63/2.83 thf(fact_34_right_Osimps, axiom, ![X6:a, X7:tree_a, X8:tree_a]:(heapIm1257206334ight_a @ (t_a @ X6 @ X7 @ X8))=(X8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_34_right_Osimps)). 2.63/2.83 thf(fact_15_Tree_Odistinct_I1_J, axiom, ![X39:a, X40:tree_a, X41:tree_a]:(e_a)!=(t_a @ X39 @ X40 @ X41), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_15_Tree_Odistinct_I1_J)). 2.63/2.83 thf(fact_0__C4_Oprems_C_I2_J, axiom, is_heap_a @ ra, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_0__C4_Oprems_C_I2_J)). 2.63/2.83 thf(fact_4_True, axiom, ord_less_eq_a @ v1 @ v2, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_4_True)). 2.63/2.83 thf(c_0_11, plain, ![X1051:a, X1052:tree_a, X1053:tree_a]:(heapIm1140443833left_a @ (t_a @ X1051 @ X1052 @ X1053))=(X1052), inference(variable_rename,[status(thm)],[fact_20_left_Osimps])). 2.63/2.83 thf(c_0_12, plain, ![X2:a, X8:tree_a, X7:tree_a]:(heapIm1140443833left_a @ (t_a @ X2 @ X7 @ X8))=(X7), inference(split_conjunct,[status(thm)],[c_0_11])). 2.63/2.83 thf(c_0_13, plain, (t_a @ v2 @ e_a @ (t_a @ v1 @ l1 @ r1))=(t_a @ va @ la @ ra), inference(split_conjunct,[status(thm)],[fact_5__C4_Oprems_C_I3_J])). 2.63/2.83 thf(c_0_14, plain, ![X30:a, X31:tree_a, X32:tree_a, X6:a]:((ord_less_eq_a @ (val_a @ (t_a @ X30 @ X31 @ X32)) @ X6=>(heapIm1091024090Down_a @ (t_a @ X6 @ e_a @ (t_a @ X30 @ X31 @ X32)))=(t_a @ X6 @ e_a @ (t_a @ X30 @ X31 @ X32)))&(~ord_less_eq_a @ (val_a @ (t_a @ X30 @ X31 @ X32)) @ X6=>(heapIm1091024090Down_a @ (t_a @ X6 @ e_a @ (t_a @ X30 @ X31 @ X32)))=(t_a @ (val_a @ (t_a @ X30 @ X31 @ X32)) @ e_a @ (heapIm1091024090Down_a @ (t_a @ X6 @ (heapIm1140443833left_a @ (t_a @ X30 @ X31 @ X32)) @ (heapIm1257206334ight_a @ (t_a @ X30 @ X31 @ X32))))))), inference(fof_simplification,[status(thm)],[fact_30_siftDown_Osimps_I4_J])). 2.63/2.83 thf(c_0_15, plain, ![X918:a, X919:tree_a, X920:tree_a]:(val_a @ (t_a @ X918 @ X919 @ X920))=(X918), inference(variable_rename,[status(thm)],[fact_22_val_Osimps])). 2.63/2.83 thf(c_0_16, plain, (la)=(e_a), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_12])). 2.63/2.83 thf(c_0_17, plain, ![X1456:a, X1457:tree_a, X1458:tree_a, X1459:a]:((~ord_less_eq_a @ (val_a @ (t_a @ X1456 @ X1457 @ X1458)) @ X1459|(heapIm1091024090Down_a @ (t_a @ X1459 @ e_a @ (t_a @ X1456 @ X1457 @ X1458)))=(t_a @ X1459 @ e_a @ (t_a @ X1456 @ X1457 @ X1458)))&(ord_less_eq_a @ (val_a @ (t_a @ X1456 @ X1457 @ X1458)) @ X1459|(heapIm1091024090Down_a @ (t_a @ X1459 @ e_a @ (t_a @ X1456 @ X1457 @ X1458)))=(t_a @ (val_a @ (t_a @ X1456 @ X1457 @ X1458)) @ e_a @ (heapIm1091024090Down_a @ (t_a @ X1459 @ (heapIm1140443833left_a @ (t_a @ X1456 @ X1457 @ X1458)) @ (heapIm1257206334ight_a @ (t_a @ X1456 @ X1457 @ X1458))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])). 2.63/2.83 thf(c_0_18, plain, ![X1293:a, X1294:a, X1295:tree_a, X1296:tree_a]:(((ord_less_eq_a @ (val_a @ (t_a @ X1294 @ X1295 @ X1296)) @ X1293|~is_heap_a @ (t_a @ X1293 @ e_a @ (t_a @ X1294 @ X1295 @ X1296)))&(is_heap_a @ (t_a @ X1294 @ X1295 @ X1296)|~is_heap_a @ (t_a @ X1293 @ e_a @ (t_a @ X1294 @ X1295 @ X1296))))&(~ord_less_eq_a @ (val_a @ (t_a @ X1294 @ X1295 @ X1296)) @ X1293|~is_heap_a @ (t_a @ X1294 @ X1295 @ X1296)|is_heap_a @ (t_a @ X1293 @ e_a @ (t_a @ X1294 @ X1295 @ X1296)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_32_is__heap_Osimps_I3_J])])])). 2.63/2.83 thf(c_0_19, plain, ![X8:tree_a, X7:tree_a, X2:a]:(val_a @ (t_a @ X2 @ X7 @ X8))=(X2), inference(split_conjunct,[status(thm)],[c_0_15])). 2.63/2.83 thf(c_0_20, plain, (t_a @ v2 @ e_a @ (t_a @ v1 @ l1 @ r1))=(t_a @ va @ e_a @ ra), inference(rw,[status(thm)],[c_0_13, c_0_16])). 2.63/2.83 thf(c_0_21, negated_conjecture, ~is_heap_a @ (heapIm1091024090Down_a @ (t_a @ v2 @ e_a @ (t_a @ v1 @ l1 @ r1))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])])). 2.63/2.83 thf(c_0_22, plain, ![X2:a, X8:tree_a, X7:tree_a, X6:a]:((heapIm1091024090Down_a @ (t_a @ X6 @ e_a @ (t_a @ X2 @ X7 @ X8)))=(t_a @ X6 @ e_a @ (t_a @ X2 @ X7 @ X8))|~ord_less_eq_a @ (val_a @ (t_a @ X2 @ X7 @ X8)) @ X6), inference(split_conjunct,[status(thm)],[c_0_17])). 2.63/2.83 thf(c_0_23, plain, ![X1304:tree_a]:((X1304)=(e_a)|(X1304)=(t_a @ (esk96_1 @ X1304) @ (esk97_1 @ X1304) @ (esk98_1 @ X1304))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_17_Tree_Oexhaust])])])). 2.63/2.83 thf(c_0_24, plain, ![X2:a, X6:a, X7:tree_a, X8:tree_a]:(ord_less_eq_a @ (val_a @ (t_a @ X2 @ X7 @ X8)) @ X6|~is_heap_a @ (t_a @ X6 @ e_a @ (t_a @ X2 @ X7 @ X8))), inference(split_conjunct,[status(thm)],[c_0_18])). 2.63/2.83 thf(c_0_25, plain, ![X886:a, X887:tree_a, X888:tree_a]:(heapIm1257206334ight_a @ (t_a @ X886 @ X887 @ X888))=(X888), inference(variable_rename,[status(thm)],[fact_34_right_Osimps])). 2.63/2.83 thf(c_0_26, plain, (va)=(v2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_19])). 2.63/2.83 thf(c_0_27, negated_conjecture, ~is_heap_a @ (heapIm1091024090Down_a @ (t_a @ v2 @ e_a @ (t_a @ v1 @ l1 @ r1))), inference(split_conjunct,[status(thm)],[c_0_21])). 2.63/2.83 thf(c_0_28, plain, ![X8:tree_a, X7:tree_a, X6:a, X2:a]:((heapIm1091024090Down_a @ (t_a @ X2 @ e_a @ (t_a @ X6 @ X7 @ X8)))=(t_a @ X2 @ e_a @ (t_a @ X6 @ X7 @ X8))|~ord_less_eq_a @ X6 @ X2), inference(rw,[status(thm)],[c_0_22, c_0_19])). 2.63/2.83 thf(c_0_29, plain, ![X7:tree_a]:((X7)=(e_a)|(X7)=(t_a @ (esk96_1 @ X7) @ (esk97_1 @ X7) @ (esk98_1 @ X7))), inference(split_conjunct,[status(thm)],[c_0_23])). 2.63/2.83 thf(c_0_30, plain, ![X2:a, X6:a, X7:tree_a, X8:tree_a]:(ord_less_eq_a @ X2 @ X6|~is_heap_a @ (t_a @ X6 @ e_a @ (t_a @ X2 @ X7 @ X8))), inference(rw,[status(thm)],[c_0_24, c_0_19])). 2.63/2.83 thf(c_0_31, plain, ![X1460:a, X1461:tree_a, X1462:tree_a]:(e_a)!=(t_a @ X1460 @ X1461 @ X1462), inference(variable_rename,[status(thm)],[fact_15_Tree_Odistinct_I1_J])). 2.63/2.83 thf(c_0_32, plain, ![X2:a, X7:tree_a, X8:tree_a]:(heapIm1257206334ight_a @ (t_a @ X2 @ X7 @ X8))=(X8), inference(split_conjunct,[status(thm)],[c_0_25])). 2.63/2.83 thf(c_0_33, plain, (t_a @ v2 @ e_a @ (t_a @ v1 @ l1 @ r1))=(t_a @ v2 @ e_a @ ra), inference(rw,[status(thm)],[c_0_20, c_0_26])). 2.63/2.83 thf(c_0_34, negated_conjecture, ~is_heap_a @ (heapIm1091024090Down_a @ (t_a @ va @ e_a @ ra)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_13]), c_0_16])). 2.63/2.83 thf(c_0_35, plain, ![X7:tree_a, X2:a]:((heapIm1091024090Down_a @ (t_a @ X2 @ e_a @ X7))=(t_a @ X2 @ e_a @ X7)|(X7)=(e_a)|~ord_less_eq_a @ (esk96_1 @ X7) @ X2), inference(spm,[status(thm)],[c_0_28, c_0_29])). 2.63/2.83 thf(c_0_36, plain, ![X2:a, X7:tree_a]:((X7)=(e_a)|ord_less_eq_a @ (esk96_1 @ X7) @ X2|~is_heap_a @ (t_a @ X2 @ e_a @ X7)), inference(spm,[status(thm)],[c_0_30, c_0_29])). 2.63/2.83 thf(c_0_37, plain, ![X2:a, X7:tree_a, X8:tree_a]:(e_a)!=(t_a @ X2 @ X7 @ X8), inference(split_conjunct,[status(thm)],[c_0_31])). 2.63/2.83 thf(c_0_38, plain, (t_a @ v1 @ l1 @ r1)=(ra), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_32])). 2.63/2.83 thf(c_0_39, plain, ![X2:a, X6:a, X7:tree_a, X8:tree_a]:(is_heap_a @ (t_a @ X6 @ e_a @ (t_a @ X2 @ X7 @ X8))|~ord_less_eq_a @ (val_a @ (t_a @ X2 @ X7 @ X8)) @ X6|~is_heap_a @ (t_a @ X2 @ X7 @ X8)), inference(split_conjunct,[status(thm)],[c_0_18])). 2.63/2.83 thf(c_0_40, negated_conjecture, ~is_heap_a @ (heapIm1091024090Down_a @ (t_a @ v2 @ e_a @ ra)), inference(rw,[status(thm)],[c_0_34, c_0_26])). 2.63/2.83 thf(c_0_41, plain, ![X2:a, X7:tree_a]:((heapIm1091024090Down_a @ (t_a @ X2 @ e_a @ X7))=(t_a @ X2 @ e_a @ X7)|(X7)=(e_a)|~is_heap_a @ (t_a @ X2 @ e_a @ X7)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 2.63/2.83 thf(c_0_42, plain, (ra)!=(e_a), inference(spm,[status(thm)],[c_0_37, c_0_38])). 2.63/2.83 thf(c_0_43, plain, ![X8:tree_a, X7:tree_a, X6:a, X2:a]:(is_heap_a @ (t_a @ X2 @ e_a @ (t_a @ X6 @ X7 @ X8))|~is_heap_a @ (t_a @ X6 @ X7 @ X8)|~ord_less_eq_a @ X6 @ X2), inference(rw,[status(thm)],[c_0_39, c_0_19])). 2.63/2.83 thf(c_0_44, plain, is_heap_a @ ra, inference(split_conjunct,[status(thm)],[fact_0__C4_Oprems_C_I2_J])). 2.63/2.83 thf(c_0_45, negated_conjecture, ~is_heap_a @ (t_a @ v2 @ e_a @ ra), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])). 2.63/2.83 thf(c_0_46, plain, ![X2:a]:(is_heap_a @ (t_a @ X2 @ e_a @ ra)|~ord_less_eq_a @ v1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_38]), c_0_44])])). 2.63/2.83 thf(c_0_47, plain, ord_less_eq_a @ v1 @ v2, inference(split_conjunct,[status(thm)],[fact_4_True])). 2.63/2.83 thf(c_0_48, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47])]), ['proof']). 2.63/2.83 # SZS output end CNFRefutation 2.63/2.83 # Proof object total steps : 49 2.63/2.83 # Proof object clause steps : 29 2.63/2.83 # Proof object formula steps : 20 2.63/2.83 # Proof object conjectures : 7 2.63/2.83 # Proof object clause conjectures : 5 2.63/2.83 # Proof object formula conjectures : 2 2.63/2.83 # Proof object initial clauses used : 12 2.63/2.83 # Proof object initial formulas used : 11 2.63/2.83 # Proof object generating inferences : 10 2.63/2.83 # Proof object simplifying inferences : 16 2.63/2.83 # Training examples: 0 positive, 0 negative 2.63/2.83 # Parsed axioms : 240 2.63/2.83 # Removed by relevancy pruning/SinE : 0 2.63/2.83 # Initial clauses : 530 2.63/2.83 # Removed in clause preprocessing : 101 2.63/2.83 # Initial clauses in saturation : 429 2.63/2.83 # Processed clauses : 5748 2.63/2.83 # ...of these trivial : 44 2.63/2.83 # ...subsumed : 3027 2.63/2.83 # ...remaining for further processing : 2677 2.63/2.83 # Other redundant clauses eliminated : 3089 2.63/2.83 # Clauses deleted for lack of memory : 0 2.63/2.83 # Backward-subsumed : 63 2.63/2.83 # Backward-rewritten : 91 2.63/2.83 # Generated clauses : 108601 2.63/2.83 # ...of the previous two non-trivial : 96900 2.63/2.83 # Contextual simplify-reflections : 26 2.63/2.83 # Paramodulations : 95010 2.63/2.83 # Factorizations : 88 2.63/2.83 # NegExts : 122 2.63/2.83 # Equation resolutions : 3266 2.63/2.83 # Propositional unsat checks : 0 2.63/2.83 # Propositional check models : 0 2.63/2.83 # Propositional check unsatisfiable : 0 2.63/2.83 # Propositional clauses : 0 2.63/2.83 # Propositional clauses after purity: 0 2.63/2.83 # Propositional unsat core size : 0 2.63/2.83 # Propositional preprocessing time : 0.000 2.63/2.83 # Propositional encoding time : 0.000 2.63/2.83 # Propositional solver time : 0.000 2.63/2.83 # Success case prop preproc time : 0.000 2.63/2.83 # Success case prop encoding time : 0.000 2.63/2.83 # Success case prop solver time : 0.000 2.63/2.83 # Current number of processed clauses : 2498 2.63/2.83 # Positive orientable unit clauses : 77 2.63/2.83 # Positive unorientable unit clauses: 4 2.63/2.83 # Negative unit clauses : 260 2.63/2.83 # Non-unit-clauses : 2157 2.63/2.83 # Current number of unprocessed clauses: 91280 2.63/2.83 # ...number of literals in the above : 577135 2.63/2.83 # Current number of archived formulas : 0 2.63/2.83 # Current number of archived clauses : 159 2.63/2.83 # Clause-clause subsumption calls (NU) : 755613 2.63/2.83 # Rec. Clause-clause subsumption calls : 150551 2.63/2.83 # Non-unit clause-clause subsumptions : 1822 2.63/2.83 # Unit Clause-clause subsumption calls : 63116 2.63/2.83 # Rewrite failures with RHS unbound : 0 2.63/2.83 # BW rewrite match attempts : 83 2.63/2.83 # BW rewrite match successes : 26 2.63/2.83 # Condensation attempts : 0 2.63/2.83 # Condensation successes : 0 2.63/2.83 # Termbank termtop insertions : 2453722 2.63/2.83 2.63/2.83 # ------------------------------------------------- 2.63/2.83 # User time : 2.420 s 2.63/2.83 # System time : 0.051 s 2.63/2.83 # Total time : 2.471 s 2.63/2.83 # Maximum resident set size: 2184 pages 2.63/2.83 EOF