0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.11 % Command : run_E %s %d THM 0.11/0.32 % Computer : n028.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 04:12:50 EDT 2022 0.11/0.32 % CPUTime : 0.18/0.44 Running higher-order on 8 cores theorem proving 0.18/0.44 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=8 --cpu-limit=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.18/0.44 # Version: 3.0pre003-ho 0.18/0.45 # Preprocessing class: HSMSSMSSMLMNHHN. 0.18/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.18/0.45 # Starting ehoh_best2_full_lfho with 600s (5) cores 0.18/0.45 # Starting lpo9_lambda_fix with 120s (1) cores 0.18/0.45 # Starting sh5l with 120s (1) cores 0.18/0.45 # Starting ho_unfolding_6 with 120s (1) cores 0.18/0.45 # sh5l with pid 15426 completed with status 0 0.18/0.45 # Result found by sh5l 0.18/0.45 # Preprocessing class: HSMSSMSSMLMNHHN. 0.18/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.18/0.45 # Starting ehoh_best2_full_lfho with 600s (5) cores 0.18/0.45 # Starting lpo9_lambda_fix with 120s (1) cores 0.18/0.45 # Starting sh5l with 120s (1) cores 0.18/0.45 # SinE strategy is gf500_gu_R04_F100_L20000 0.18/0.45 # ...ProofStateSinE()=14/64 0.18/0.45 # Search class: HHHNF-FFSF33-SHHSMFNN 0.18/0.45 # partial match(2): HHHNF-FFSF00-SHHSMFNN 0.18/0.45 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.18/0.45 # Starting new_ho_10 with 73s (1) cores 0.18/0.45 # new_ho_10 with pid 15429 completed with status 0 0.18/0.45 # Result found by new_ho_10 0.18/0.45 # Preprocessing class: HSMSSMSSMLMNHHN. 0.18/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.18/0.45 # Starting ehoh_best2_full_lfho with 600s (5) cores 0.18/0.45 # Starting lpo9_lambda_fix with 120s (1) cores 0.18/0.45 # Starting sh5l with 120s (1) cores 0.18/0.45 # SinE strategy is gf500_gu_R04_F100_L20000 0.18/0.45 # ...ProofStateSinE()=14/64 0.18/0.45 # Search class: HHHNF-FFSF33-SHHSMFNN 0.18/0.45 # partial match(2): HHHNF-FFSF00-SHHSMFNN 0.18/0.45 # Scheduled 5 strats onto 1 cores with 120 seconds (120 total) 0.18/0.45 # Starting new_ho_10 with 73s (1) cores 0.18/0.45 # Preprocessing time : 0.001 s 0.18/0.45 # Presaturation interreduction done 0.18/0.45 0.18/0.45 # Proof found! 0.18/0.45 # SZS status Theorem 0.18/0.45 # SZS output start CNFRefutation 0.18/0.45 thf(decl_22, type, meq_ind: mu > mu > $i > $o). 0.18/0.45 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.18/0.45 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.18/0.45 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.18/0.45 thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.18/0.45 thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.18/0.45 thf(decl_35, type, mtrue: $i > $o). 0.18/0.45 thf(decl_36, type, mfalse: $i > $o). 0.18/0.45 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.18/0.45 thf(decl_39, type, mreflexive: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_41, type, mserial: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_42, type, mtransitive: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_43, type, meuclidean: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_45, type, mfunctional: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o). 0.18/0.45 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.18/0.45 thf(decl_50, type, minvalid: ($i > $o) > $o). 0.18/0.45 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.18/0.45 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.18/0.45 thf(decl_53, type, epred1_0: $i > $i > $o). 0.18/0.45 thf(decl_54, type, esk1_3: $i > $i > $i > $i). 0.18/0.45 thf(decl_55, type, esk2_0: $i). 0.18/0.45 thf(decl_56, type, epred2_0: $i > $o). 0.18/0.45 thf(decl_57, type, esk3_0: $i). 0.18/0.45 thf(decl_58, type, esk4_0: $i). 0.18/0.45 thf(mdia, axiom, ((mdia)=(^[X13:$i > $i > $o, X6:$i > $o]:(mnot @ (mbox @ X13 @ (mnot @ X6))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mdia)). 0.18/0.45 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mnot)). 0.18/0.45 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mbox)). 0.18/0.45 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mimplies)). 0.18/0.45 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mor)). 0.18/0.45 thf(mweakly_directed, axiom, ((mweakly_directed)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((X13 @ X15 @ X16)&(X13 @ X15 @ X17))=>?[X14:$i]:(((X13 @ X16 @ X14)&(X13 @ X17 @ X14)))))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mweakly_directed)). 0.18/0.45 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mforall_prop)). 0.18/0.45 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mvalid)). 0.18/0.45 thf(conj, conjecture, ![X13:$i > $i > $o]:(((mvalid @ (mforall_prop @ (^[X18:$i > $o]:(mimplies @ (mdia @ X13 @ (mbox @ X13 @ X18)) @ (mbox @ X13 @ (mdia @ X13 @ X18))))))<=(mweakly_directed @ X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)). 0.18/0.45 thf(c_0_9, plain, ((mdia)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X21:$i]:((~((Z0 @ Z2 @ X21))|(~((Z1 @ X21)))))))))), inference(fof_simplification,[status(thm)],[mdia])). 0.18/0.45 thf(c_0_10, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.18/0.45 thf(c_0_11, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.18/0.45 thf(c_0_12, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.18/0.45 thf(c_0_13, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.18/0.45 thf(c_0_14, plain, ((mweakly_directed)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((Z0 @ X15 @ X16)&(Z0 @ X15 @ X17))=>?[X14:$i]:(((Z0 @ X16 @ X14)&(Z0 @ X17 @ X14)))))))), inference(fof_simplification,[status(thm)],[mweakly_directed])). 0.18/0.45 thf(c_0_15, plain, ((mdia)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X21:$i]:((~((Z0 @ Z2 @ X21))|(~((Z1 @ X21)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9, c_0_10]), c_0_11])). 0.18/0.45 thf(c_0_16, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_10]), c_0_13])). 0.18/0.45 thf(c_0_17, plain, ((mforall_prop)=(^[Z0:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.18/0.45 thf(c_0_18, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.18/0.45 thf(c_0_19, negated_conjecture, ~(![X13:$i > $i > $o]:((![X28:$i, X29:$i, X30:$i]:((((X13 @ X28 @ X29)&(X13 @ X28 @ X30))=>?[X31:$i]:(((X13 @ X29 @ X31)&(X13 @ X30 @ X31)))))=>![X27:$i, X26:$i > $o]:((~(~(![X23:$i]:((~(X13 @ X27 @ X23)|~(![X22:$i]:((~(X13 @ X23 @ X22)|(X26 @ X22))))))))|![X25:$i]:((~(X13 @ X27 @ X25)|~(![X24:$i]:((~(X13 @ X25 @ X24)|~(X26 @ X24))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]), c_0_14]), c_0_15]), c_0_11]), c_0_16]), c_0_17]), c_0_18])])). 0.18/0.45 thf(c_0_20, negated_conjecture, ![X33:$i, X34:$i, X35:$i, X40:$i, X42:$i]:(((((epred1_0 @ X34 @ (esk1_3 @ X33 @ X34 @ X35))|(~(epred1_0 @ X33 @ X34)|~(epred1_0 @ X33 @ X35)))&((epred1_0 @ X35 @ (esk1_3 @ X33 @ X34 @ X35))|(~(epred1_0 @ X33 @ X34)|~(epred1_0 @ X33 @ X35))))&(((epred1_0 @ esk2_0 @ esk3_0)&(~(epred1_0 @ esk3_0 @ X40)|(epred2_0 @ X40)))&((epred1_0 @ esk2_0 @ esk4_0)&(~(epred1_0 @ esk4_0 @ X42)|~(epred2_0 @ X42)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])). 0.18/0.45 thf(c_0_21, negated_conjecture, ![X3:$i]:((~((epred1_0 @ esk4_0 @ X3))|~((epred2_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.18/0.45 thf(c_0_22, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((epred1_0 @ X3 @ (esk1_3 @ X14 @ X3 @ X15))|~((epred1_0 @ X14 @ X3))|~((epred1_0 @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.18/0.45 thf(c_0_23, negated_conjecture, ![X3:$i]:(((epred2_0 @ X3)|~((epred1_0 @ esk3_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.18/0.45 thf(c_0_24, negated_conjecture, ![X14:$i, X15:$i, X3:$i]:(((epred1_0 @ X3 @ (esk1_3 @ X14 @ X15 @ X3))|~((epred1_0 @ X14 @ X15))|~((epred1_0 @ X14 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.18/0.45 thf(c_0_25, negated_conjecture, ![X3:$i, X14:$i]:((~((epred2_0 @ (esk1_3 @ X3 @ esk4_0 @ X14)))|~((epred1_0 @ X3 @ esk4_0))|~((epred1_0 @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.18/0.45 thf(c_0_26, negated_conjecture, ![X3:$i, X14:$i]:(((epred2_0 @ (esk1_3 @ X3 @ X14 @ esk3_0))|~((epred1_0 @ X3 @ esk3_0))|~((epred1_0 @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.18/0.45 thf(c_0_27, negated_conjecture, ![X3:$i]:((~((epred1_0 @ X3 @ esk4_0))|~((epred1_0 @ X3 @ esk3_0)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.18/0.45 thf(c_0_28, negated_conjecture, (epred1_0 @ esk2_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.18/0.45 thf(c_0_29, negated_conjecture, (epred1_0 @ esk2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.18/0.45 thf(c_0_30, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])]), ['proof']). 0.18/0.45 # SZS output end CNFRefutation 0.18/0.45 # Parsed axioms : 64 0.18/0.45 # Removed by relevancy pruning/SinE : 50 0.18/0.45 # Initial clauses : 6 0.18/0.45 # Removed in clause preprocessing : 0 0.18/0.45 # Initial clauses in saturation : 6 0.18/0.45 # Processed clauses : 17 0.18/0.45 # ...of these trivial : 0 0.18/0.45 # ...subsumed : 0 0.18/0.45 # ...remaining for further processing : 17 0.18/0.45 # Other redundant clauses eliminated : 0 0.18/0.45 # Clauses deleted for lack of memory : 0 0.18/0.45 # Backward-subsumed : 0 0.18/0.45 # Backward-rewritten : 0 0.18/0.45 # Generated clauses : 7 0.18/0.45 # ...of the previous two non-redundant : 6 0.18/0.45 # ...aggressively subsumed : 0 0.18/0.45 # Contextual simplify-reflections : 0 0.18/0.45 # Paramodulations : 7 0.18/0.45 # Factorizations : 0 0.18/0.45 # NegExts : 0 0.18/0.45 # Equation resolutions : 0 0.18/0.45 # Propositional unsat checks : 0 0.18/0.45 # Propositional check models : 0 0.18/0.45 # Propositional check unsatisfiable : 0 0.18/0.45 # Propositional clauses : 0 0.18/0.45 # Propositional clauses after purity: 0 0.18/0.45 # Propositional unsat core size : 0 0.18/0.45 # Propositional preprocessing time : 0.000 0.18/0.45 # Propositional encoding time : 0.000 0.18/0.45 # Propositional solver time : 0.000 0.18/0.45 # Success case prop preproc time : 0.000 0.18/0.45 # Success case prop encoding time : 0.000 0.18/0.45 # Success case prop solver time : 0.000 0.18/0.45 # Current number of processed clauses : 11 0.18/0.45 # Positive orientable unit clauses : 2 0.18/0.45 # Positive unorientable unit clauses: 0 0.18/0.45 # Negative unit clauses : 0 0.18/0.45 # Non-unit-clauses : 9 0.18/0.45 # Current number of unprocessed clauses: 1 0.18/0.45 # ...number of literals in the above : 2 0.18/0.45 # Current number of archived formulas : 0 0.18/0.45 # Current number of archived clauses : 6 0.18/0.45 # Clause-clause subsumption calls (NU) : 26 0.18/0.45 # Rec. Clause-clause subsumption calls : 20 0.18/0.45 # Non-unit clause-clause subsumptions : 0 0.18/0.45 # Unit Clause-clause subsumption calls : 0 0.18/0.45 # Rewrite failures with RHS unbound : 0 0.18/0.45 # BW rewrite match attempts : 0 0.18/0.45 # BW rewrite match successes : 0 0.18/0.45 # Condensation attempts : 17 0.18/0.45 # Condensation successes : 0 0.18/0.45 # Termbank termtop insertions : 2020 0.18/0.45 0.18/0.45 # ------------------------------------------------- 0.18/0.45 # User time : 0.003 s 0.18/0.45 # System time : 0.003 s 0.18/0.45 # Total time : 0.006 s 0.18/0.45 # Maximum resident set size: 1916 pages 0.18/0.45 0.18/0.45 # ------------------------------------------------- 0.18/0.45 # User time : 0.004 s 0.18/0.45 # System time : 0.006 s 0.18/0.45 # Total time : 0.009 s 0.18/0.45 # Maximum resident set size: 1796 pages 0.18/0.45 EOF