0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_E %s %d THM 0.10/0.32 % Computer : n017.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 1440 0.10/0.32 % WCLimit : 180 0.10/0.32 % DateTime : Thu Jul 4 05:25:09 EDT 2024 0.10/0.32 % CPUTime : 0.17/0.45 Running higher-order theorem proving 0.17/0.46 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=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p 0.17/0.49 # Version: 3.2.0-ho 0.17/0.49 # Preprocessing class: HSMSSMSSMLMNHHN. 0.17/0.49 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.17/0.49 # Starting ehoh_best2_full_lfho with 900s (5) cores 0.17/0.49 # Starting lpo9_lambda_fix with 180s (1) cores 0.17/0.49 # Starting sh5l with 180s (1) cores 0.17/0.49 # Starting ho_unfolding_6 with 180s (1) cores 0.17/0.49 # ho_unfolding_6 with pid 18229 completed with status 0 0.17/0.49 # Result found by ho_unfolding_6 0.17/0.49 # Preprocessing class: HSMSSMSSMLMNHHN. 0.17/0.49 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.17/0.49 # Starting ehoh_best2_full_lfho with 900s (5) cores 0.17/0.49 # Starting lpo9_lambda_fix with 180s (1) cores 0.17/0.49 # Starting sh5l with 180s (1) cores 0.17/0.49 # Starting ho_unfolding_6 with 180s (1) cores 0.17/0.49 # No SInE strategy applied 0.17/0.49 # Search class: HHUNF-FFSF33-SHHSMMBN 0.17/0.49 # partial match(1): HGUNF-FFSF33-SHHSMMBN 0.17/0.49 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.17/0.49 # Starting new_ho_10 with 98s (1) cores 0.17/0.49 # new_ho_10 with pid 18231 completed with status 9 0.17/0.49 # Starting ho_unfolding_6 with 19s (1) cores 0.17/0.49 # ho_unfolding_6 with pid 18233 completed with status 0 0.17/0.49 # Result found by ho_unfolding_6 0.17/0.49 # Preprocessing class: HSMSSMSSMLMNHHN. 0.17/0.49 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.17/0.49 # Starting ehoh_best2_full_lfho with 900s (5) cores 0.17/0.49 # Starting lpo9_lambda_fix with 180s (1) cores 0.17/0.49 # Starting sh5l with 180s (1) cores 0.17/0.49 # Starting ho_unfolding_6 with 180s (1) cores 0.17/0.49 # No SInE strategy applied 0.17/0.49 # Search class: HHUNF-FFSF33-SHHSMMBN 0.17/0.49 # partial match(1): HGUNF-FFSF33-SHHSMMBN 0.17/0.49 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.17/0.49 # Starting new_ho_10 with 98s (1) cores 0.17/0.49 # new_ho_10 with pid 18231 completed with status 9 0.17/0.49 # Starting ho_unfolding_6 with 19s (1) cores 0.17/0.49 # Preprocessing time : 0.001 s 0.17/0.49 0.17/0.49 # Proof found! 0.17/0.49 # SZS status Theorem 0.17/0.49 # SZS output start CNFRefutation 0.17/0.49 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.17/0.49 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.17/0.49 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.49 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.17/0.49 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.17/0.49 thf(decl_53, type, epred1_0: $i > $i > $o). 0.17/0.49 thf(decl_54, type, esk1_3: $i > ($i > $o) > $i > $i). 0.17/0.49 thf(decl_55, type, esk2_0: $i). 0.17/0.49 thf(decl_56, type, esk3_0: $i). 0.17/0.49 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', mimplies)). 0.17/0.49 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', mnot)). 0.17/0.49 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', mor)). 0.17/0.49 thf(mdia, axiom, ((mdia)=(^[X13:$i > $i > $o, X6:$i > $o]:(mnot @ (mbox @ X13 @ (mnot @ X6))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', mdia)). 0.17/0.49 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', mbox)). 0.17/0.49 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', mforall_prop)). 0.17/0.49 thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:(((X13 @ X15 @ X16)=>(X13 @ X16 @ X15)))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', msymmetric)). 0.17/0.49 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', mvalid)). 0.17/0.49 thf(conj, conjecture, ![X13:$i > $i > $o]:(((msymmetric @ X13)<=(mvalid @ (mforall_prop @ (^[X18:$i > $o]:(mimplies @ X18 @ (mbox @ X13 @ (mdia @ X13 @ X18)))))))), file('/export/starexec/sandbox/tmp/tmp.OXeYy6ziTh/E---3.1_18148.p', conj)). 0.17/0.49 thf(c_0_9, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.17/0.49 thf(c_0_10, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.17/0.49 thf(c_0_11, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.17/0.49 thf(c_0_12, plain, ((mdia)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X22:$i]:((~((Z0 @ Z2 @ X22))|(~((Z1 @ X22)))))))))), inference(fof_simplification,[status(thm)],[mdia])). 0.17/0.49 thf(c_0_13, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.17/0.49 thf(c_0_14, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9, c_0_10]), c_0_11])). 0.17/0.49 thf(c_0_15, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.17/0.49 thf(c_0_16, plain, ((mdia)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X22:$i]:((~((Z0 @ Z2 @ X22))|(~((Z1 @ X22)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_10]), c_0_13])). 0.17/0.49 thf(c_0_17, plain, ((msymmetric)=(^[Z0/* 6 */:$i > $i > $o]:(![X15:$i, X16:$i]:(((Z0 @ X15 @ X16)=>(Z0 @ X16 @ X15)))))), inference(fof_simplification,[status(thm)],[msymmetric])). 0.17/0.49 thf(c_0_18, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.17/0.49 thf(c_0_19, negated_conjecture, ~(![X13:$i > $i > $o]:((![X28:$i, X27:$i > $o]:((~((X27 @ X28))|![X26:$i]:((~((X13 @ X28 @ X26))|~(![X25:$i]:((~((X13 @ X26 @ X25))|~((X27 @ X25)))))))))=>![X23:$i, X24:$i]:(((X13 @ X23 @ X24)=>(X13 @ X24 @ X23)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]), c_0_14]), c_0_15]), c_0_13]), c_0_16]), c_0_17]), c_0_18])])). 0.17/0.49 thf(c_0_20, negated_conjecture, ![X30:$i, X31:$i > $o, X32:$i]:(((((epred1_0 @ X32 @ (esk1_3 @ X30 @ X31 @ X32))|~(epred1_0 @ X30 @ X32)|~(X31 @ X30))&((X31 @ (esk1_3 @ X30 @ X31 @ X32))|~(epred1_0 @ X30 @ X32)|~(X31 @ X30)))&((epred1_0 @ esk2_0 @ esk3_0)&~(epred1_0 @ esk3_0 @ esk2_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])])). 0.17/0.49 thf(c_0_21, negated_conjecture, ![X14:$i, X4:$i > $o, X3:$i]:(((X4 @ (esk1_3 @ X3 @ X4 @ X14))|~((epred1_0 @ X3 @ X14))|~((X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.17/0.49 thf(c_0_22, negated_conjecture, ![X4:$i > $o, X3:$i, X14:$i]:(((epred1_0 @ X3 @ (esk1_3 @ X14 @ X4 @ X3))|~((epred1_0 @ X14 @ X3))|~((X4 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.17/0.49 thf(c_0_23, negated_conjecture, ![X3:$i, X14:$i]:((((esk1_3 @ X3 @ (^[Z0/* 3 */:$i]:(((Z0)=(X3)))) @ X14)=(X3))|~((epred1_0 @ X3 @ X14)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_21])). 0.17/0.49 thf(c_0_24, negated_conjecture, ![X14:$i, X3:$i]:(((epred1_0 @ X3 @ X14)|~((epred1_0 @ X14 @ X3)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23])])])). 0.17/0.49 thf(c_0_25, negated_conjecture, (epred1_0 @ esk2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])). 0.17/0.49 thf(c_0_26, negated_conjecture, ~((epred1_0 @ esk3_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.17/0.49 thf(c_0_27, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), ['proof']). 0.17/0.49 # SZS output end CNFRefutation 0.17/0.49 # Parsed axioms : 64 0.17/0.49 # Removed by relevancy pruning/SinE : 0 0.17/0.49 # Initial clauses : 36 0.17/0.49 # Removed in clause preprocessing : 32 0.17/0.49 # Initial clauses in saturation : 4 0.17/0.49 # Processed clauses : 9 0.17/0.49 # ...of these trivial : 0 0.17/0.49 # ...subsumed : 0 0.17/0.49 # ...remaining for further processing : 9 0.17/0.49 # Other redundant clauses eliminated : 0 0.17/0.49 # Clauses deleted for lack of memory : 0 0.17/0.49 # Backward-subsumed : 0 0.17/0.49 # Backward-rewritten : 0 0.17/0.49 # Generated clauses : 51 0.17/0.49 # ...of the previous two non-redundant : 46 0.17/0.49 # ...aggressively subsumed : 0 0.17/0.49 # Contextual simplify-reflections : 0 0.17/0.49 # Paramodulations : 50 0.17/0.49 # Factorizations : 0 0.17/0.49 # NegExts : 0 0.17/0.49 # Equation resolutions : 0 0.17/0.49 # Disequality decompositions : 0 0.17/0.49 # Total rewrite steps : 1 0.17/0.49 # ...of those cached : 0 0.17/0.49 # Propositional unsat checks : 0 0.17/0.49 # Propositional check models : 0 0.17/0.49 # Propositional check unsatisfiable : 0 0.17/0.49 # Propositional clauses : 0 0.17/0.49 # Propositional clauses after purity: 0 0.17/0.49 # Propositional unsat core size : 0 0.17/0.49 # Propositional preprocessing time : 0.000 0.17/0.49 # Propositional encoding time : 0.000 0.17/0.49 # Propositional solver time : 0.000 0.17/0.49 # Success case prop preproc time : 0.000 0.17/0.49 # Success case prop encoding time : 0.000 0.17/0.49 # Success case prop solver time : 0.000 0.17/0.49 # Current number of processed clauses : 9 0.17/0.49 # Positive orientable unit clauses : 1 0.17/0.49 # Positive unorientable unit clauses: 0 0.17/0.49 # Negative unit clauses : 1 0.17/0.49 # Non-unit-clauses : 7 0.17/0.49 # Current number of unprocessed clauses: 37 0.17/0.49 # ...number of literals in the above : 176 0.17/0.49 # Current number of archived formulas : 0 0.17/0.49 # Current number of archived clauses : 0 0.17/0.49 # Clause-clause subsumption calls (NU) : 30 0.17/0.49 # Rec. Clause-clause subsumption calls : 22 0.17/0.49 # Non-unit clause-clause subsumptions : 0 0.17/0.49 # Unit Clause-clause subsumption calls : 0 0.17/0.49 # Rewrite failures with RHS unbound : 0 0.17/0.49 # BW rewrite match attempts : 0 0.17/0.49 # BW rewrite match successes : 0 0.17/0.49 # Condensation attempts : 9 0.17/0.49 # Condensation successes : 0 0.17/0.49 # Termbank termtop insertions : 8296 0.17/0.49 # Search garbage collected termcells : 538 0.17/0.49 0.17/0.49 # ------------------------------------------------- 0.17/0.49 # User time : 0.006 s 0.17/0.49 # System time : 0.004 s 0.17/0.49 # Total time : 0.010 s 0.17/0.49 # Maximum resident set size: 1916 pages 0.17/0.49 0.17/0.49 # ------------------------------------------------- 0.17/0.49 # User time : 0.010 s 0.17/0.49 # System time : 0.004 s 0.17/0.49 # Total time : 0.014 s 0.17/0.49 # Maximum resident set size: 1788 pages 0.17/0.49 % E---3.1 exiting 0.17/0.49 % E exiting 0.17/0.49 EOF