0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.44 % Computer : n009.cluster.edu 0.10/0.44 % Model : x86_64 x86_64 0.10/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.44 % Memory : 8046.5625MB 0.10/0.44 % OS : Linux 6.8.0-71-generic 0.10/0.44 % CPULimit : 1440 0.10/0.44 % WCLimit : 180 0.10/0.44 % DateTime : Mon Jul 27 09:11:15 UTC 2026 0.10/0.44 % CPUTime : 0.10/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.15/0.49 Running first-order theorem proving 0.15/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/benchmark/theBenchmark.p 0.15/0.51 % Version: 3.5.1 0.15/0.51 % Preprocessing class: FSMSSMSSSSSNFFN. 0.15/0.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.15/0.51 % Starting new_bool_3 with 180s (1) cores 0.15/0.51 % Starting new_bool_1 with 180s (1) cores 0.15/0.51 % Starting sh5l with 180s (1) cores 0.15/0.51 % new_bool_3 with pid 920001 completed with status 0 0.15/0.51 % Result found by new_bool_3 0.15/0.51 % Preprocessing class: FSMSSMSSSSSNFFN. 0.15/0.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.15/0.51 % Starting new_bool_3 with 180s (1) cores 0.15/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.15/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.15/0.51 % Search class: FGHSF-FFMS31-SFFFFFNN 0.15/0.51 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.15/0.51 % Starting SubtermCWHack with 19s (1) cores 0.15/0.51 % SubtermCWHack with pid 920004 completed with status 0 0.15/0.51 % Result found by SubtermCWHack 0.15/0.51 % Preprocessing class: FSMSSMSSSSSNFFN. 0.15/0.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.15/0.51 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.15/0.51 % Starting new_bool_3 with 180s (1) cores 0.15/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.15/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.15/0.51 % Search class: FGHSF-FFMS31-SFFFFFNN 0.15/0.51 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.15/0.51 % Starting SubtermCWHack with 19s (1) cores 0.15/0.51 % Preprocessing time : 0.002 s 0.15/0.51 0.15/0.51 % Proof found! 0.15/0.51 % SZS status Theorem 0.15/0.51 % SZS output start CNFRefutation 0.15/0.51 fof(no_short_cut_edge, conjecture, ![X1, X2, X3, X4, X5]:((~(?[X6]:(((head_of(X4)=head_of(X6)&tail_of(X6)=tail_of(X3))&edge(X6))))<=(precedes(X3,X4,X5)&shortest_path(X1,X2,X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', no_short_cut_edge)). 0.15/0.51 fof(shortest_path_properties, axiom, ![X1, X2, X3, X4, X5]:(((~(?[X6]:((head_of(X6)=head_of(X4)&tail_of(X3)=tail_of(X6))))&~(precedes(X4,X3,X5)))<=(shortest_path(X1,X2,X5)&precedes(X3,X4,X5)))), file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax', shortest_path_properties)). 0.15/0.51 fof(c_0_2, negated_conjecture, ~(![X1, X2, X3, X4, X5]:((~(?[X6]:(((head_of(X4)=head_of(X6)&tail_of(X6)=tail_of(X3))&edge(X6))))<=(precedes(X3,X4,X5)&shortest_path(X1,X2,X5))))), inference(assume_negation,[status(cth)],[no_short_cut_edge])). 0.15/0.51 fof(c_0_3, plain, ![X1, X2, X3, X4, X5]:(((shortest_path(X1,X2,X5)&precedes(X3,X4,X5))=>(~(?[X6]:((head_of(X6)=head_of(X4)&tail_of(X3)=tail_of(X6))))&~precedes(X4,X3,X5)))), inference(fof_simplification,[status(thm)],[shortest_path_properties])). 0.15/0.51 fof(c_0_4, negated_conjecture, ~(![X1, X2, X3, X4, X5]:(((precedes(X3,X4,X5)&shortest_path(X1,X2,X5))=>~(?[X6]:(((head_of(X4)=head_of(X6)&tail_of(X6)=tail_of(X3))&edge(X6))))))), inference(fof_simplification,[status(thm)],[c_0_2])). 0.15/0.51 fof(c_0_5, plain, ![X19, X20, X21, X22, X23, X24]:(((head_of(X24)!=head_of(X22)|tail_of(X21)!=tail_of(X24)|(~shortest_path(X19,X20,X23)|~precedes(X21,X22,X23)))&(~precedes(X22,X21,X23)|(~shortest_path(X19,X20,X23)|~precedes(X21,X22,X23))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])). 0.15/0.51 fof(c_0_6, negated_conjecture, ((precedes(esk3_0,esk4_0,esk5_0)&shortest_path(esk1_0,esk2_0,esk5_0))&((head_of(esk4_0)=head_of(esk6_0)&tail_of(esk6_0)=tail_of(esk3_0))&edge(esk6_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])). 0.15/0.51 cnf(c_0_7, plain, (head_of(X1)!=head_of(X2)|tail_of(X3)!=tail_of(X1)|~shortest_path(X4,X5,X6)|~precedes(X3,X2,X6)), inference(split_conjunct,[status(thm)],[c_0_5])). 0.15/0.51 cnf(c_0_8, negated_conjecture, (shortest_path(esk1_0,esk2_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.15/0.51 cnf(c_0_9, negated_conjecture, (head_of(X1)!=head_of(X2)|tail_of(X1)!=tail_of(X3)|~precedes(X3,X2,esk5_0)), inference(spm,[status(thm)],[c_0_7, c_0_8])). 0.15/0.51 cnf(c_0_10, negated_conjecture, (precedes(esk3_0,esk4_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.15/0.51 cnf(c_0_11, negated_conjecture, (head_of(esk4_0)=head_of(esk6_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.15/0.51 cnf(c_0_12, negated_conjecture, (tail_of(esk6_0)=tail_of(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.15/0.51 cnf(c_0_13, negated_conjecture, (head_of(X1)!=head_of(esk6_0)|tail_of(X1)!=tail_of(esk6_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12])). 0.15/0.51 cnf(c_0_14, negated_conjecture, ($false), inference(er,[status(thm)],[c_0_13]), ['proof']). 0.15/0.51 % SZS output end CNFRefutation 0.15/0.51 % Parsed axioms : 18 0.15/0.51 % Removed by relevancy pruning/SinE : 11 0.15/0.51 % Initial clauses : 25 0.15/0.51 % Removed in clause preprocessing : 0 0.15/0.51 % Initial clauses in saturation : 25 0.15/0.51 % Processed clauses : 39 0.15/0.51 % ...of these trivial : 0 0.15/0.51 % ...subsumed : 2 0.15/0.51 % ...remaining for further processing : 37 0.15/0.51 % Other redundant clauses eliminated : 2 0.15/0.51 % Clauses deleted for lack of memory : 0 0.15/0.51 % Backward-subsumed : 0 0.15/0.51 % Backward-rewritten : 0 0.15/0.51 % Generated clauses : 23 0.15/0.51 % ...of the previous two non-redundant : 20 0.15/0.51 % ...aggressively subsumed : 0 0.15/0.51 % Contextual simplify-reflections : 0 0.15/0.51 % Paramodulations : 20 0.15/0.51 % Factorizations : 0 0.15/0.51 % NegExts : 0 0.15/0.51 % Equation resolutions : 3 0.15/0.51 % Disequality decompositions : 0 0.15/0.51 % Total rewrite steps : 3 0.15/0.51 % ...of those cached : 0 0.15/0.51 % Propositional unsat checks : 0 0.15/0.51 % Propositional check models : 0 0.15/0.51 % Propositional check unsatisfiable : 0 0.15/0.51 % Propositional clauses : 0 0.15/0.51 % Propositional clauses after purity: 0 0.15/0.51 % Propositional unsat core size : 0 0.15/0.51 % Propositional preprocessing time : 0.000 0.15/0.51 % Propositional encoding time : 0.000 0.15/0.51 % Propositional solver time : 0.000 0.15/0.51 % Success case prop preproc time : 0.000 0.15/0.51 % Success case prop encoding time : 0.000 0.15/0.51 % Success case prop solver time : 0.000 0.15/0.51 % Current number of processed clauses : 35 0.15/0.51 % Positive orientable unit clauses : 8 0.15/0.51 % Positive unorientable unit clauses: 0 0.15/0.51 % Negative unit clauses : 5 0.15/0.51 % Non-unit-clauses : 22 0.15/0.51 % Current number of unprocessed clauses: 6 0.15/0.51 % ...number of literals in the above : 27 0.15/0.51 % Current number of archived formulas : 0 0.15/0.51 % Current number of archived clauses : 0 0.15/0.51 % Clause-clause subsumption calls (NU) : 85 0.15/0.51 % Rec. Clause-clause subsumption calls : 53 0.15/0.51 % Non-unit clause-clause subsumptions : 0 0.15/0.51 % Unit Clause-clause subsumption calls : 13 0.15/0.51 % Rewrite failures with RHS unbound : 0 0.15/0.51 % BW rewrite match attempts : 0 0.15/0.51 % BW rewrite match successes : 0 0.15/0.51 % Condensation attempts : 0 0.15/0.51 % Condensation successes : 0 0.15/0.51 % Termbank termtop insertions : 2430 0.15/0.51 % Search garbage collected termcells : 702 0.15/0.51 0.15/0.51 % ------------------------------------------------- 0.15/0.51 % User time : 0.007 s 0.15/0.51 % System time : 0.002 s 0.15/0.51 % Total time : 0.009 s 0.15/0.51 % Maximum resident set size: 3668 pages 0.15/0.51 0.15/0.51 % ------------------------------------------------- 0.15/0.51 % User time : 0.009 s 0.15/0.51 % System time : 0.004 s 0.15/0.51 % Total time : 0.013 s 0.15/0.51 % Maximum resident set size: 4608 pages 0.15/0.51 % E exiting 0.15/0.51 EOF