0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.11/0.33 % Computer : n027.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 08:46:19 EDT 2025 0.11/0.33 % CPUTime : 0.18/0.47 Running higher-order theorem proving 0.18/0.47 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.spA4eYCWsx/E---3.1_8961.p 0.18/0.48 # Version: 3.0.0-ho 0.18/0.48 # Preprocessing class: HSSSSMSSSSSNSSA. 0.18/0.48 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.48 # Starting post_as_ho12 with 240s (1) cores 0.18/0.48 # Starting new_bool_9 with 240s (1) cores 0.18/0.48 # Starting post_as_ho1 with 240s (1) cores 0.18/0.48 # Starting post_as_ho4 with 240s (1) cores 0.18/0.48 # Starting post_as_ho2 with 240s (1) cores 0.18/0.48 # Starting ehoh_best2_full_lfho with 240s (1) cores 0.18/0.48 # Starting full_lambda_10 with 240s (1) cores 0.18/0.48 # Starting new_ho_8 with 240s (1) cores 0.18/0.48 # new_bool_9 with pid 9040 completed with status 0 0.18/0.48 # Result found by new_bool_9 0.18/0.48 # Preprocessing class: HSSSSMSSSSSNSSA. 0.18/0.48 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.48 # Starting post_as_ho12 with 240s (1) cores 0.18/0.48 # Starting new_bool_9 with 240s (1) cores 0.18/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 0.18/0.48 # Search class: HUUPF-FFSF11-MSSFFMNN 0.18/0.48 # partial match(1): HUUPF-FFSF11-SSSFFMNN 0.18/0.48 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.18/0.48 # Starting post_as_ho12 with 130s (1) cores 0.18/0.48 # post_as_ho12 with pid 9047 completed with status 0 0.18/0.48 # Result found by post_as_ho12 0.18/0.48 # Preprocessing class: HSSSSMSSSSSNSSA. 0.18/0.48 # Scheduled 8 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.48 # Starting post_as_ho12 with 240s (1) cores 0.18/0.48 # Starting new_bool_9 with 240s (1) cores 0.18/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 0.18/0.48 # Search class: HUUPF-FFSF11-MSSFFMNN 0.18/0.48 # partial match(1): HUUPF-FFSF11-SSSFFMNN 0.18/0.48 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.18/0.48 # Starting post_as_ho12 with 130s (1) cores 0.18/0.48 # Preprocessing time : 0.001 s 0.18/0.48 # Presaturation interreduction done 0.18/0.48 0.18/0.48 # Proof found! 0.18/0.48 # SZS status Theorem 0.18/0.48 # SZS output start CNFRefutation 0.18/0.48 thf(decl_23, type, f: $i > $i). 0.18/0.48 thf(decl_24, type, esk1_1: ($i > $i) > $i). 0.18/0.48 thf(decl_25, type, esk2_1: $i > $i). 0.18/0.48 thf(invexists, conjecture, ?[X3:$i > $i]:(![X1:$i]:(((X3 @ (f @ X1))=(X1)))), file('/export/starexec/sandbox/tmp/tmp.spA4eYCWsx/E---3.1_8961.p', invexists)). 0.18/0.48 thf(finj, axiom, ![X1:$i, X2:$i]:((((f @ X1)=(f @ X2))=>((X1)=(X2)))), file('/export/starexec/sandbox/tmp/tmp.spA4eYCWsx/E---3.1_8961.p', finj)). 0.18/0.48 thf(c_0_2, negated_conjecture, ~(?[X3:$i > $i]:(![X1:$i]:(((X3 @ (f @ X1))=(X1))))), inference(assume_negation,[status(cth)],[invexists])). 0.18/0.48 thf(c_0_3, plain, ![X10:$i, X11:$i]:((((f @ X10)!=(f @ X11))|((X10)=(X11)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finj])])])). 0.18/0.48 thf(c_0_4, negated_conjecture, ![X8:$i > $i]:(((X8 @ (f @ (esk1_1 @ X8)))!=(esk1_1 @ X8))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])). 0.18/0.48 thf(c_0_5, plain, ![X1:$i, X2:$i]:((((X1)=(X2))|((f @ X1)!=(f @ X2)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.18/0.48 thf(c_0_6, negated_conjecture, ![X3:$i > $i]:(((X3 @ (f @ (esk1_1 @ X3)))!=(esk1_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.18/0.48 thf(c_0_7, plain, ![X1:$i]:(((esk2_1 @ (f @ X1))=(X1))), inference(recognize_injectivity,[status(thm)],[c_0_5])). 0.18/0.48 thf(c_0_8, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_6, c_0_7]), ['proof']). 0.18/0.48 # SZS output end CNFRefutation 0.18/0.48 # Parsed axioms : 3 0.18/0.48 # Removed by relevancy pruning/SinE : 1 0.18/0.48 # Initial clauses : 2 0.18/0.48 # Removed in clause preprocessing : 0 0.18/0.48 # Initial clauses in saturation : 2 0.18/0.48 # Processed clauses : 4 0.18/0.48 # ...of these trivial : 0 0.18/0.48 # ...subsumed : 0 0.18/0.48 # ...remaining for further processing : 4 0.18/0.48 # Other redundant clauses eliminated : 0 0.18/0.48 # Clauses deleted for lack of memory : 0 0.18/0.48 # Backward-subsumed : 0 0.18/0.48 # Backward-rewritten : 0 0.18/0.48 # Generated clauses : 1 0.18/0.48 # ...of the previous two non-redundant : 0 0.18/0.48 # ...aggressively subsumed : 0 0.18/0.48 # Contextual simplify-reflections : 0 0.18/0.48 # Paramodulations : 1 0.18/0.48 # Factorizations : 0 0.18/0.48 # NegExts : 0 0.18/0.48 # Equation resolutions : 0 0.18/0.48 # Disequality decompositions : 0 0.18/0.48 # Total rewrite steps : 0 0.18/0.48 # ...of those cached : 0 0.18/0.48 # Propositional unsat checks : 0 0.18/0.48 # Propositional check models : 0 0.18/0.48 # Propositional check unsatisfiable : 0 0.18/0.48 # Propositional clauses : 0 0.18/0.48 # Propositional clauses after purity: 0 0.18/0.48 # Propositional unsat core size : 0 0.18/0.48 # Propositional preprocessing time : 0.000 0.18/0.48 # Propositional encoding time : 0.000 0.18/0.48 # Propositional solver time : 0.000 0.18/0.48 # Success case prop preproc time : 0.000 0.18/0.48 # Success case prop encoding time : 0.000 0.18/0.48 # Success case prop solver time : 0.000 0.18/0.48 # Current number of processed clauses : 2 0.18/0.48 # Positive orientable unit clauses : 1 0.18/0.48 # Positive unorientable unit clauses: 0 0.18/0.48 # Negative unit clauses : 1 0.18/0.48 # Non-unit-clauses : 0 0.18/0.48 # Current number of unprocessed clauses: 0 0.18/0.48 # ...number of literals in the above : 0 0.18/0.48 # Current number of archived formulas : 0 0.18/0.48 # Current number of archived clauses : 3 0.18/0.48 # Clause-clause subsumption calls (NU) : 0 0.18/0.48 # Rec. Clause-clause subsumption calls : 0 0.18/0.48 # Non-unit clause-clause subsumptions : 0 0.18/0.48 # Unit Clause-clause subsumption calls : 0 0.18/0.48 # Rewrite failures with RHS unbound : 0 0.18/0.48 # BW rewrite match attempts : 0 0.18/0.48 # BW rewrite match successes : 0 0.18/0.48 # Condensation attempts : 0 0.18/0.48 # Condensation successes : 0 0.18/0.48 # Termbank termtop insertions : 204 0.18/0.48 # Search garbage collected termcells : 42 0.18/0.48 0.18/0.48 # ------------------------------------------------- 0.18/0.48 # User time : 0.003 s 0.18/0.48 # System time : 0.001 s 0.18/0.48 # Total time : 0.004 s 0.18/0.48 # Maximum resident set size: 1808 pages 0.18/0.48 0.18/0.48 # ------------------------------------------------- 0.18/0.48 # User time : 0.005 s 0.18/0.48 # System time : 0.002 s 0.18/0.48 # Total time : 0.006 s 0.18/0.48 # Maximum resident set size: 1720 pages 0.18/0.48 % E exiting 0.18/0.48 % E exiting 0.18/0.48 EOF