0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.09/0.31 % Computer : n012.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 1920 0.09/0.31 % WCLimit : 240 0.09/0.31 % DateTime : Wed Jul 30 03:23:04 EDT 2025 0.15/0.31 % CPUTime : 0.17/0.43 Running higher-order theorem proving 0.17/0.45 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=240 /export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p 1.03/0.78 # Version: 3.0.0-ho 1.03/0.78 # Preprocessing class: HSLSSMSMMLLNHSN. 1.03/0.78 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.03/0.78 # Starting new_ho_10 with 720s (3) cores 1.03/0.78 # Starting ehoh_best8_lambda with 720s (3) cores 1.03/0.78 # Starting ho_unfolding_3 with 240s (1) cores 1.03/0.78 # Starting new_ho_16 with 240s (1) cores 1.03/0.78 # new_ho_16 with pid 3780 completed with status 9 1.03/0.78 # new_ho_10 with pid 3777 completed with status 0 1.03/0.78 # Result found by new_ho_10 1.03/0.78 # Preprocessing class: HSLSSMSMMLLNHSN. 1.03/0.78 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.03/0.78 # Starting new_ho_10 with 720s (3) cores 1.03/0.78 # No SInE strategy applied 1.03/0.78 # Search class: HGHNM-SMLS33-DHSSMFNN 1.03/0.78 # partial match(1): HGHNM-SMLF33-DHSSMFNN 1.03/0.78 # Scheduled 6 strats onto 3 cores with 720 seconds (720 total) 1.03/0.78 # Starting new_ho_15 with 278s (1) cores 1.03/0.78 # Starting new_ho_10 with 73s (1) cores 1.03/0.78 # Starting ehoh_best8_lambda with 93s (1) cores 1.03/0.78 # new_ho_15 with pid 3794 completed with status 0 1.03/0.78 # Result found by new_ho_15 1.03/0.78 # Preprocessing class: HSLSSMSMMLLNHSN. 1.03/0.78 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 1.03/0.78 # Starting new_ho_10 with 720s (3) cores 1.03/0.78 # No SInE strategy applied 1.03/0.78 # Search class: HGHNM-SMLS33-DHSSMFNN 1.03/0.78 # partial match(1): HGHNM-SMLF33-DHSSMFNN 1.03/0.78 # Scheduled 6 strats onto 3 cores with 720 seconds (720 total) 1.03/0.78 # Starting new_ho_15 with 278s (1) cores 1.03/0.78 # Preprocessing time : 0.063 s 1.03/0.78 1.03/0.78 # Proof found! 1.03/0.78 # SZS status Theorem 1.03/0.78 # SZS output start CNFRefutation 1.03/0.78 thf(decl_sort1, type, mu: $tType). 1.03/0.78 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 1.03/0.78 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.03/0.78 thf(decl_31, type, mand: ($i > $o) > ($i > $o) > $i > $o). 1.03/0.78 thf(decl_32, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.03/0.78 thf(decl_41, type, mreflexive: ($i > $i > $o) > $o). 1.03/0.78 thf(decl_51, type, mvalid: ($i > $o) > $o). 1.03/0.78 thf(decl_55, type, rel_s4: $i > $i > $o). 1.03/0.78 thf(decl_56, type, mbox_s4: ($i > $o) > $i > $o). 1.03/0.78 thf(decl_58, type, true: $i > $o). 1.03/0.78 thf(decl_61, type, gt: mu > mu > $i > $o). 1.03/0.78 thf(decl_83, type, loopcounter: mu). 1.03/0.78 thf(decl_87, type, n1: mu). 1.03/0.78 thf(decl_185, type, esk82_0: $i). 1.03/0.78 thf(decl_186, type, esk83_0: $i). 1.03/0.78 thf(decl_187, type, esk84_0: $i). 1.03/0.78 thf(decl_188, type, esk85_1: $i > $i). 1.03/0.78 thf(decl_189, type, esk86_0: $i). 1.03/0.78 thf(decl_190, type, esk87_0: $i). 1.03/0.78 thf(decl_191, type, esk88_0: $i). 1.03/0.78 thf(mand, axiom, ((mand)=(^[X4:$i > $o, X5:$i > $o]:(mnot @ (mor @ (mnot @ X4) @ (mnot @ X5))))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', mand)). 1.03/0.78 thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X3:$i]:(~((X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', mnot)). 1.03/0.78 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', mor)). 1.03/0.78 thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', mimplies)). 1.03/0.78 thf(mvalid, axiom, ((mvalid)=(^[X4:$i > $o]:(![X3:$i]:((X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', mvalid)). 1.03/0.78 thf(mbox_s4, axiom, ((mbox_s4)=(^[X4:$i > $o, X3:$i]:(![X7:$i]:((~((rel_s4 @ X3 @ X7))|(X4 @ X7)))))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', mbox_s4)). 1.03/0.78 thf(mreflexive, axiom, ((mreflexive)=(^[X6:$i > $i > $o]:(![X15:$i]:((X6 @ X15 @ X15))))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', mreflexive)). 1.03/0.78 thf(ttrue, axiom, (mvalid @ (mbox_s4 @ true)), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', ttrue)). 1.03/0.78 thf(a1, axiom, (mreflexive @ rel_s4), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', a1)). 1.03/0.78 thf(cl5_nebula_array_0002, conjecture, (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ true) @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mbox_s4 @ (gt @ loopcounter @ n1)))) @ (mbox_s4 @ true))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (gt @ loopcounter @ n1)) @ (mbox_s4 @ true))))))), file('/export/starexec/sandbox/tmp/tmp.R7TD0bOF9e/E---3.1_3699.p', cl5_nebula_array_0002)). 1.03/0.78 thf(c_0_10, plain, ((mand)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])). 1.03/0.78 thf(c_0_11, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 1.03/0.78 thf(c_0_12, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 1.03/0.78 thf(c_0_13, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 1.03/0.78 thf(c_0_14, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 1.03/0.78 thf(c_0_15, plain, ((mbox_s4)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X7:$i]:((~((rel_s4 @ Z1 @ X7))|(Z0 @ X7)))))), inference(fof_simplification,[status(thm)],[mbox_s4])). 1.03/0.78 thf(c_0_16, plain, ((mreflexive)=(^[Z0/* 6 */:$i > $i > $o]:(![X15:$i]:((Z0 @ X15 @ X15))))), inference(fof_simplification,[status(thm)],[mreflexive])). 1.03/0.78 thf(c_0_17, plain, ((mand)=(^[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_10, c_0_11]), c_0_12])). 1.03/0.78 thf(c_0_18, 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_13, c_0_11]), c_0_12])). 1.03/0.78 thf(c_0_19, plain, ![X266:$i, X265:$i]:((~(rel_s4 @ X266 @ X265)|(true @ X265))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ttrue, c_0_14]), c_0_15])])). 1.03/0.78 thf(c_0_20, plain, ![X197:$i]:((rel_s4 @ X197 @ X197)), inference(apply_def,[status(thm)],[a1, c_0_16])). 1.03/0.78 thf(c_0_21, negated_conjecture, ~(![X1149:$i, X1148:$i]:((~(rel_s4 @ X1149 @ X1148)|(~(![X1140:$i]:((~(rel_s4 @ X1148 @ X1140)|(true @ X1140))))|~((~(![X1144:$i]:((~(rel_s4 @ X1148 @ X1144)|(~(![X1142:$i]:((~(rel_s4 @ X1144 @ X1142)|~(![X1141:$i]:((~(rel_s4 @ X1142 @ X1141)|(gt @ loopcounter @ n1 @ X1141)))))))|![X1143:$i]:((~(rel_s4 @ X1144 @ X1143)|(true @ X1143)))))))|~(![X1147:$i]:((~(rel_s4 @ X1148 @ X1147)|(~(![X1145:$i]:((~(rel_s4 @ X1147 @ X1145)|(gt @ loopcounter @ n1 @ X1145))))|![X1146:$i]:((~(rel_s4 @ X1147 @ X1146)|(true @ X1146))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_array_0002]), c_0_11]), c_0_17]), c_0_18]), c_0_14]), c_0_15])])). 1.03/0.78 thf(c_0_22, plain, ![X1532:$i, X1533:$i]:((~(rel_s4 @ X1532 @ X1533)|(true @ X1533))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_19])])). 1.03/0.78 thf(c_0_23, plain, ![X1481:$i]:((rel_s4 @ X1481 @ X1481)), inference(variable_rename,[status(thm)],[c_0_20])). 1.03/0.78 thf(c_0_24, negated_conjecture, ![X2287:$i, X2289:$i, X2293:$i]:(((rel_s4 @ esk82_0 @ esk83_0)&((~(rel_s4 @ esk83_0 @ X2287)|(true @ X2287))&((((rel_s4 @ esk83_0 @ esk87_0)|(rel_s4 @ esk83_0 @ esk84_0))&((~(rel_s4 @ esk87_0 @ X2293)|(gt @ loopcounter @ n1 @ X2293)|(rel_s4 @ esk83_0 @ esk84_0))&(((rel_s4 @ esk87_0 @ esk88_0)|(rel_s4 @ esk83_0 @ esk84_0))&(~(true @ esk88_0)|(rel_s4 @ esk83_0 @ esk84_0)))))&(((((rel_s4 @ esk83_0 @ esk87_0)|((rel_s4 @ X2289 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289)))&((~(rel_s4 @ esk87_0 @ X2293)|(gt @ loopcounter @ n1 @ X2293)|((rel_s4 @ X2289 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289)))&(((rel_s4 @ esk87_0 @ esk88_0)|((rel_s4 @ X2289 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289)))&(~(true @ esk88_0)|((rel_s4 @ X2289 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289))))))&(((rel_s4 @ esk83_0 @ esk87_0)|(~(gt @ loopcounter @ n1 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289)))&((~(rel_s4 @ esk87_0 @ X2293)|(gt @ loopcounter @ n1 @ X2293)|(~(gt @ loopcounter @ n1 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289)))&(((rel_s4 @ esk87_0 @ esk88_0)|(~(gt @ loopcounter @ n1 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289)))&(~(true @ esk88_0)|(~(gt @ loopcounter @ n1 @ (esk85_1 @ X2289))|~(rel_s4 @ esk84_0 @ X2289)))))))&((((rel_s4 @ esk83_0 @ esk87_0)|(rel_s4 @ esk84_0 @ esk86_0))&((~(rel_s4 @ esk87_0 @ X2293)|(gt @ loopcounter @ n1 @ X2293)|(rel_s4 @ esk84_0 @ esk86_0))&(((rel_s4 @ esk87_0 @ esk88_0)|(rel_s4 @ esk84_0 @ esk86_0))&(~(true @ esk88_0)|(rel_s4 @ esk84_0 @ esk86_0)))))&(((rel_s4 @ esk83_0 @ esk87_0)|~(true @ esk86_0))&((~(rel_s4 @ esk87_0 @ X2293)|(gt @ loopcounter @ n1 @ X2293)|~(true @ esk86_0))&(((rel_s4 @ esk87_0 @ esk88_0)|~(true @ esk86_0))&(~(true @ esk88_0)|~(true @ esk86_0))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])])). 1.03/0.78 thf(c_0_25, plain, ![X3:$i, X7:$i]:(((true @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_22])). 1.03/0.78 thf(c_0_26, plain, ![X3:$i]:((rel_s4 @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_23])). 1.03/0.78 thf(c_0_27, negated_conjecture, (~((true @ esk88_0))|~((true @ esk86_0))), inference(split_conjunct,[status(thm)],[c_0_24])). 1.03/0.78 thf(c_0_28, plain, ![X3:$i]:((true @ X3)), inference(spm,[status(thm)],[c_0_25, c_0_26])). 1.03/0.78 thf(c_0_29, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28]), c_0_28])]), ['proof']). 1.03/0.78 # SZS output end CNFRefutation 1.03/0.78 # Parsed axioms : 269 1.03/0.78 # Removed by relevancy pruning/SinE : 0 1.03/0.78 # Initial clauses : 1933 1.03/0.78 # Removed in clause preprocessing : 70 1.03/0.78 # Initial clauses in saturation : 1863 1.03/0.78 # Processed clauses : 33 1.03/0.78 # ...of these trivial : 0 1.03/0.78 # ...subsumed : 0 1.03/0.78 # ...remaining for further processing : 33 1.03/0.78 # Other redundant clauses eliminated : 0 1.03/0.78 # Clauses deleted for lack of memory : 0 1.03/0.78 # Backward-subsumed : 1 1.03/0.78 # Backward-rewritten : 8 1.03/0.78 # Generated clauses : 12 1.03/0.79 # ...of the previous two non-redundant : 15 1.03/0.79 # ...aggressively subsumed : 0 1.03/0.79 # Contextual simplify-reflections : 0 1.03/0.79 # Paramodulations : 12 1.03/0.79 # Factorizations : 0 1.03/0.79 # NegExts : 0 1.03/0.79 # Equation resolutions : 0 1.03/0.79 # Disequality decompositions : 0 1.03/0.79 # Total rewrite steps : 7 1.03/0.79 # ...of those cached : 3 1.03/0.79 # Propositional unsat checks : 0 1.03/0.79 # Propositional check models : 0 1.03/0.79 # Propositional check unsatisfiable : 0 1.03/0.79 # Propositional clauses : 0 1.03/0.79 # Propositional clauses after purity: 0 1.03/0.79 # Propositional unsat core size : 0 1.03/0.79 # Propositional preprocessing time : 0.000 1.03/0.79 # Propositional encoding time : 0.000 1.03/0.79 # Propositional solver time : 0.000 1.03/0.79 # Success case prop preproc time : 0.000 1.03/0.79 # Success case prop encoding time : 0.000 1.03/0.79 # Success case prop solver time : 0.000 1.03/0.79 # Current number of processed clauses : 24 1.03/0.79 # Positive orientable unit clauses : 16 1.03/0.79 # Positive unorientable unit clauses: 0 1.03/0.79 # Negative unit clauses : 0 1.03/0.79 # Non-unit-clauses : 8 1.03/0.79 # Current number of unprocessed clauses: 1842 1.03/0.79 # ...number of literals in the above : 18524 1.03/0.79 # Current number of archived formulas : 0 1.03/0.79 # Current number of archived clauses : 9 1.03/0.79 # Clause-clause subsumption calls (NU) : 62 1.03/0.79 # Rec. Clause-clause subsumption calls : 60 1.03/0.79 # Non-unit clause-clause subsumptions : 1 1.03/0.79 # Unit Clause-clause subsumption calls : 62 1.03/0.79 # Rewrite failures with RHS unbound : 0 1.03/0.79 # BW rewrite match attempts : 5 1.03/0.79 # BW rewrite match successes : 4 1.03/0.79 # Condensation attempts : 33 1.03/0.79 # Condensation successes : 0 1.03/0.79 # Termbank termtop insertions : 292958 1.03/0.79 # Search garbage collected termcells : 98381 1.03/0.79 1.03/0.79 # ------------------------------------------------- 1.03/0.79 # User time : 0.287 s 1.03/0.79 # System time : 0.019 s 1.03/0.79 # Total time : 0.306 s 1.03/0.79 # Maximum resident set size: 16772 pages 1.03/0.79 1.03/0.79 # ------------------------------------------------- 1.03/0.79 # User time : 0.462 s 1.03/0.79 # System time : 0.057 s 1.03/0.79 # Total time : 0.519 s 1.03/0.79 # Maximum resident set size: 2216 pages 1.03/0.79 % E exiting 1.03/0.79 % E exiting 1.03/0.79 EOF