0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.09/0.30 % Computer : n002.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1920 0.09/0.30 % WCLimit : 240 0.09/0.30 % DateTime : Wed Jul 30 03:14:04 EDT 2025 0.09/0.30 % CPUTime : 0.15/0.42 Running higher-order theorem proving 0.15/0.43 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.WRg4aGhcct/E---3.1_15390.p 1.75/0.65 # Version: 3.0.0-ho 1.75/0.65 # Preprocessing class: HSSSSMSSSSSNSSA. 1.75/0.65 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 1.75/0.65 # Starting post_as_ho12 with 240s (1) cores 1.75/0.65 # Starting new_bool_9 with 240s (1) cores 1.75/0.65 # Starting post_as_ho1 with 240s (1) cores 1.75/0.65 # Starting post_as_ho4 with 240s (1) cores 1.75/0.65 # Starting post_as_ho2 with 240s (1) cores 1.75/0.65 # Starting ehoh_best2_full_lfho with 240s (1) cores 1.75/0.65 # Starting full_lambda_10 with 240s (1) cores 1.75/0.65 # Starting new_ho_8 with 240s (1) cores 1.75/0.65 # new_bool_9 with pid 15471 completed with status 0 1.75/0.65 # Result found by new_bool_9 1.75/0.65 # Preprocessing class: HSSSSMSSSSSNSSA. 1.75/0.65 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 1.75/0.65 # Starting post_as_ho12 with 240s (1) cores 1.75/0.65 # Starting new_bool_9 with 240s (1) cores 1.75/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 1.75/0.65 # Search class: HGHSF-FFSS11-SSSFFMBN 1.75/0.65 # partial match(1): HGHSF-FFSF11-SSSFFMBN 1.75/0.65 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 1.75/0.65 # Starting ho_unfolding_6 with 130s (1) cores 1.75/0.65 # ho_unfolding_6 with pid 15478 completed with status 10 1.75/0.65 # Starting new_bool_9 with 25s (1) cores 1.75/0.65 # new_bool_9 with pid 15490 completed with status 0 1.75/0.65 # Result found by new_bool_9 1.75/0.65 # Preprocessing class: HSSSSMSSSSSNSSA. 1.75/0.65 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 1.75/0.65 # Starting post_as_ho12 with 240s (1) cores 1.75/0.65 # Starting new_bool_9 with 240s (1) cores 1.75/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 1.75/0.65 # Search class: HGHSF-FFSS11-SSSFFMBN 1.75/0.65 # partial match(1): HGHSF-FFSF11-SSSFFMBN 1.75/0.65 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 1.75/0.65 # Starting ho_unfolding_6 with 130s (1) cores 1.75/0.65 # ho_unfolding_6 with pid 15478 completed with status 10 1.75/0.65 # Starting new_bool_9 with 25s (1) cores 1.75/0.65 # Preprocessing time : 0.001 s 1.75/0.65 # Presaturation interreduction done 1.75/0.65 1.75/0.65 # Proof found! 1.75/0.65 # SZS status Theorem 1.75/0.65 # SZS output start CNFRefutation 1.75/0.65 thf(decl_23, type, cJ: $i). 1.75/0.65 thf(decl_24, type, cLIKE: $i > $i > $o). 1.75/0.65 thf(decl_25, type, cWRH: $i > $o). 1.75/0.65 thf(decl_26, type, cW: $i > $o). 1.75/0.65 thf(decl_27, type, cUNIQUE: $i > $o). 1.75/0.65 thf(decl_28, type, cS: $i). 1.75/0.65 thf(decl_29, type, cP: $i). 1.75/0.65 thf(decl_30, type, esk1_1: ($i > $o) > $i). 1.75/0.65 thf(cLING1, conjecture, (?[X1:$i > $o]:((((X1 @ cJ)<=>?[X2:$i]:(((((cUNIQUE @ X2)&(cW @ X2))&(cWRH @ X2))&(cLIKE @ cJ @ X2))))&((X1 @ cP)<=>(cLIKE @ cP @ cS))))<=(((![X2:$i]:((![X3:$i]:((((X2)=(X3))<=((cW @ X3)&(cWRH @ X3))))<=(cUNIQUE @ X2)))&(cUNIQUE @ cS))&(cW @ cS))&(cWRH @ cS))), file('/export/starexec/sandbox2/tmp/tmp.WRg4aGhcct/E---3.1_15390.p', cLING1)). 1.75/0.65 thf(c_0_1, negated_conjecture, ~(((((![X2:$i]:(((cUNIQUE @ X2)=>![X3:$i]:((((cW @ X3)&(cWRH @ X3))=>((X2)=(X3))))))&(cUNIQUE @ cS))&(cW @ cS))&(cWRH @ cS))=>?[X1:$i > $o]:((((X1 @ cJ)<=>?[X2:$i]:(((((cUNIQUE @ X2)&(cW @ X2))&(cWRH @ X2))&(cLIKE @ cJ @ X2))))&((X1 @ cP)<=>(cLIKE @ cP @ cS)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cLING1])])). 1.75/0.65 thf(c_0_2, negated_conjecture, ![X8:$i, X9:$i, X10:$i > $o, X11:$i]:((((((~(cUNIQUE @ X8)|(~(cW @ X9)|~(cWRH @ X9)|((X8)=(X9))))&(cUNIQUE @ cS))&(cW @ cS))&(cWRH @ cS))&(((~(X10 @ cP)|~(cLIKE @ cP @ cS)|(~(X10 @ cJ)|(~(cUNIQUE @ X11)|~(cW @ X11)|~(cWRH @ X11)|~(cLIKE @ cJ @ X11))))&((X10 @ cP)|(cLIKE @ cP @ cS)|(~(X10 @ cJ)|(~(cUNIQUE @ X11)|~(cW @ X11)|~(cWRH @ X11)|~(cLIKE @ cJ @ X11)))))&(((((~(X10 @ cP)|~(cLIKE @ cP @ cS)|((cUNIQUE @ (esk1_1 @ X10))|(X10 @ cJ)))&((X10 @ cP)|(cLIKE @ cP @ cS)|((cUNIQUE @ (esk1_1 @ X10))|(X10 @ cJ))))&((~(X10 @ cP)|~(cLIKE @ cP @ cS)|((cW @ (esk1_1 @ X10))|(X10 @ cJ)))&((X10 @ cP)|(cLIKE @ cP @ cS)|((cW @ (esk1_1 @ X10))|(X10 @ cJ)))))&((~(X10 @ cP)|~(cLIKE @ cP @ cS)|((cWRH @ (esk1_1 @ X10))|(X10 @ cJ)))&((X10 @ cP)|(cLIKE @ cP @ cS)|((cWRH @ (esk1_1 @ X10))|(X10 @ cJ)))))&((~(X10 @ cP)|~(cLIKE @ cP @ cS)|((cLIKE @ cJ @ (esk1_1 @ X10))|(X10 @ cJ)))&((X10 @ cP)|(cLIKE @ cP @ cS)|((cLIKE @ cJ @ (esk1_1 @ X10))|(X10 @ cJ)))))))), 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_1])])])])])])). 1.75/0.65 thf(c_0_3, negated_conjecture, ![X1:$i > $o, X2:$i]:((~((X1 @ cP))|~((cLIKE @ cP @ cS))|~((X1 @ cJ))|~((cUNIQUE @ X2))|~((cW @ X2))|~((cWRH @ X2))|~((cLIKE @ cJ @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_4, negated_conjecture, ![X1:$i > $o, X2:$i]:(((X1 @ cP)|(cLIKE @ cP @ cS)|~((X1 @ cJ))|~((cUNIQUE @ X2))|~((cW @ X2))|~((cWRH @ X2))|~((cLIKE @ cJ @ X2)))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_5, negated_conjecture, ![X2:$i]:((~((cLIKE @ cP @ cS))|~((cLIKE @ cJ @ X2))|~((cWRH @ X2))|~((cW @ X2))|~((cUNIQUE @ X2)))), inference(primitive_enumeration,[status(thm)],[c_0_3])). 1.75/0.65 thf(c_0_6, negated_conjecture, ![X2:$i, X1:$i > $o]:(((X1 @ cP)|~((cLIKE @ cJ @ X2))|~((cWRH @ X2))|~((cW @ X2))|~((cUNIQUE @ X2))|~((X1 @ cJ)))), inference(csr,[status(thm)],[c_0_4, c_0_5])). 1.75/0.65 thf(c_0_7, negated_conjecture, ![X1:$i > $o]:(((X1 @ cP)|(cLIKE @ cP @ cS)|(cLIKE @ cJ @ (esk1_1 @ X1))|(X1 @ cJ))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_8, negated_conjecture, ![X1:$i > $o]:(((X1 @ cP)|(cLIKE @ cP @ cS)|(cUNIQUE @ (esk1_1 @ X1))|(X1 @ cJ))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_9, negated_conjecture, ![X1:$i > $o]:(((X1 @ cP)|(cLIKE @ cP @ cS)|(cW @ (esk1_1 @ X1))|(X1 @ cJ))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_10, negated_conjecture, ![X1:$i > $o]:(((X1 @ cP)|(cLIKE @ cP @ cS)|(cWRH @ (esk1_1 @ X1))|(X1 @ cJ))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_11, negated_conjecture, ![X2:$i]:((((cJ)=(cP))|~((cLIKE @ cJ @ X2))|~((cWRH @ X2))|~((cW @ X2))|~((cUNIQUE @ X2)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_6])). 1.75/0.65 thf(c_0_12, negated_conjecture, ((cLIKE @ cJ @ (esk1_1 @ (^[Z0/* 4 */:$i]:(~($true)))))|(cLIKE @ cP @ cS)), inference(primitive_enumeration,[status(thm)],[c_0_7])). 1.75/0.65 thf(c_0_13, negated_conjecture, ((cUNIQUE @ (esk1_1 @ (^[Z0/* 4 */:$i]:(~($true)))))|(cLIKE @ cP @ cS)), inference(primitive_enumeration,[status(thm)],[c_0_8])). 1.75/0.65 thf(c_0_14, negated_conjecture, ((cW @ (esk1_1 @ (^[Z0/* 4 */:$i]:(~($true)))))|(cLIKE @ cP @ cS)), inference(primitive_enumeration,[status(thm)],[c_0_9])). 1.75/0.65 thf(c_0_15, negated_conjecture, ((cWRH @ (esk1_1 @ (^[Z0/* 4 */:$i]:(~($true)))))|(cLIKE @ cP @ cS)), inference(primitive_enumeration,[status(thm)],[c_0_10])). 1.75/0.65 thf(c_0_16, negated_conjecture, ![X2:$i, X3:$i]:((((X2)=(X3))|~((cUNIQUE @ X2))|~((cW @ X3))|~((cWRH @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_17, negated_conjecture, (cUNIQUE @ cS), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_18, negated_conjecture, ![X1:$i > $o]:(((cW @ (esk1_1 @ X1))|(X1 @ cJ)|~((X1 @ cP))|~((cLIKE @ cP @ cS)))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_19, negated_conjecture, (((cJ)=(cP))|(cLIKE @ cP @ cS)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13]), c_0_14]), c_0_15])). 1.75/0.65 thf(c_0_20, negated_conjecture, ![X1:$i > $o]:(((cLIKE @ cJ @ (esk1_1 @ X1))|(X1 @ cJ)|~((X1 @ cP))|~((cLIKE @ cP @ cS)))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_21, negated_conjecture, ![X2:$i]:((((cS)=(X2))|~((cWRH @ X2))|~((cW @ X2)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 1.75/0.65 thf(c_0_22, negated_conjecture, ![X1:$i > $o]:((((cJ)=(cP))|(cW @ (esk1_1 @ X1))|(X1 @ cJ)|~((X1 @ cP)))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 1.75/0.65 thf(c_0_23, negated_conjecture, ![X1:$i > $o]:(((cWRH @ (esk1_1 @ X1))|(X1 @ cJ)|~((X1 @ cP))|~((cLIKE @ cP @ cS)))), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_24, negated_conjecture, (((cJ)=(cP))|(cLIKE @ cJ @ (esk1_1 @ (^[Z0/* 4 */:$i]:(((Z0)!=(cJ))))))|~((cLIKE @ cP @ cS))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20])). 1.75/0.65 thf(c_0_25, negated_conjecture, ![X1:$i > $o]:((((esk1_1 @ X1)=(cS))|((cJ)=(cP))|(X1 @ cJ)|~((cWRH @ (esk1_1 @ X1)))|~((X1 @ cP)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 1.75/0.65 thf(c_0_26, negated_conjecture, ![X1:$i > $o]:((((cJ)=(cP))|(cWRH @ (esk1_1 @ X1))|(X1 @ cJ)|~((X1 @ cP)))), inference(spm,[status(thm)],[c_0_23, c_0_19])). 1.75/0.65 thf(c_0_27, negated_conjecture, (((cJ)=(cP))|(cLIKE @ cJ @ (esk1_1 @ (^[Z0/* 4 */:$i]:(((Z0)!=(cJ))))))), inference(spm,[status(thm)],[c_0_24, c_0_19])). 1.75/0.65 thf(c_0_28, negated_conjecture, ![X1:$i > $o]:((((esk1_1 @ X1)=(cS))|((cJ)=(cP))|(X1 @ cJ)|~((X1 @ cP)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 1.75/0.65 thf(c_0_29, negated_conjecture, ![X1:$i > $o]:((((esk1_1 @ X1)=(cS))|(cLIKE @ cP @ cS)|(X1 @ cP)|(X1 @ cJ))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_9]), c_0_10])). 1.75/0.65 thf(c_0_30, negated_conjecture, (((cJ)=(cP))|(cLIKE @ cJ @ cS)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28])])])). 1.75/0.65 thf(c_0_31, negated_conjecture, (cWRH @ cS), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_32, negated_conjecture, (cW @ cS), inference(split_conjunct,[status(thm)],[c_0_2])). 1.75/0.65 thf(c_0_33, negated_conjecture, ((cLIKE @ cP @ cS)|(cLIKE @ cJ @ cS)), inference(spm,[status(thm)],[c_0_12, c_0_29])). 1.75/0.65 thf(c_0_34, negated_conjecture, ((cJ)=(cP)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_30]), c_0_31]), c_0_32]), c_0_17])])). 1.75/0.65 thf(c_0_35, negated_conjecture, (cLIKE @ cP @ cS), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])). 1.75/0.65 thf(c_0_36, negated_conjecture, ![X2:$i]:((~((cLIKE @ cP @ X2))|~((cWRH @ X2))|~((cW @ X2))|~((cUNIQUE @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5, c_0_34]), c_0_35])])). 1.75/0.65 thf(c_0_37, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_35]), c_0_31]), c_0_32]), c_0_17])]), ['proof']). 1.75/0.65 # SZS output end CNFRefutation 1.75/0.65 # Parsed axioms : 8 1.75/0.65 # Removed by relevancy pruning/SinE : 7 1.75/0.65 # Initial clauses : 14 1.75/0.65 # Removed in clause preprocessing : 0 1.75/0.65 # Initial clauses in saturation : 14 1.75/0.65 # Processed clauses : 143 1.75/0.65 # ...of these trivial : 0 1.75/0.65 # ...subsumed : 44 1.75/0.65 # ...remaining for further processing : 99 1.75/0.65 # Other redundant clauses eliminated : 8 1.75/0.65 # Clauses deleted for lack of memory : 0 1.75/0.65 # Backward-subsumed : 17 1.75/0.65 # Backward-rewritten : 56 1.75/0.65 # Generated clauses : 654 1.75/0.65 # ...of the previous two non-redundant : 392 1.75/0.65 # ...aggressively subsumed : 0 1.75/0.65 # Contextual simplify-reflections : 14 1.75/0.65 # Paramodulations : 567 1.75/0.65 # Factorizations : 0 1.75/0.65 # NegExts : 0 1.75/0.65 # Equation resolutions : 9 1.75/0.65 # Disequality decompositions : 0 1.75/0.65 # Total rewrite steps : 230 1.75/0.65 # ...of those cached : 225 1.75/0.65 # Propositional unsat checks : 0 1.75/0.65 # Propositional check models : 0 1.75/0.65 # Propositional check unsatisfiable : 0 1.75/0.65 # Propositional clauses : 0 1.75/0.65 # Propositional clauses after purity: 0 1.75/0.65 # Propositional unsat core size : 0 1.75/0.65 # Propositional preprocessing time : 0.000 1.75/0.65 # Propositional encoding time : 0.000 1.75/0.65 # Propositional solver time : 0.000 1.75/0.65 # Success case prop preproc time : 0.000 1.75/0.65 # Success case prop encoding time : 0.000 1.75/0.65 # Success case prop solver time : 0.000 1.75/0.65 # Current number of processed clauses : 8 1.75/0.65 # Positive orientable unit clauses : 5 1.75/0.65 # Positive unorientable unit clauses: 0 1.75/0.65 # Negative unit clauses : 0 1.75/0.65 # Non-unit-clauses : 3 1.75/0.65 # Current number of unprocessed clauses: 265 1.75/0.65 # ...number of literals in the above : 1445 1.75/0.65 # Current number of archived formulas : 0 1.75/0.65 # Current number of archived clauses : 91 1.75/0.65 # Clause-clause subsumption calls (NU) : 337 1.75/0.65 # Rec. Clause-clause subsumption calls : 133 1.75/0.65 # Non-unit clause-clause subsumptions : 75 1.75/0.65 # Unit Clause-clause subsumption calls : 0 1.75/0.65 # Rewrite failures with RHS unbound : 0 1.75/0.65 # BW rewrite match attempts : 2 1.75/0.65 # BW rewrite match successes : 2 1.75/0.65 # Condensation attempts : 0 1.75/0.65 # Condensation successes : 0 1.75/0.65 # Termbank termtop insertions : 39132 1.75/0.65 # Search garbage collected termcells : 301 1.75/0.65 1.75/0.65 # ------------------------------------------------- 1.75/0.65 # User time : 0.205 s 1.75/0.65 # System time : 0.003 s 1.75/0.65 # Total time : 0.208 s 1.75/0.65 # Maximum resident set size: 1900 pages 1.75/0.65 1.75/0.65 # ------------------------------------------------- 1.75/0.65 # User time : 0.207 s 1.75/0.65 # System time : 0.005 s 1.75/0.65 # Total time : 0.212 s 1.75/0.65 # Maximum resident set size: 1716 pages 1.75/0.65 % E exiting 1.75/0.65 % E exiting 1.75/0.65 EOF