0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.37 % Computer : n014.cluster.edu 0.10/0.37 % Model : x86_64 x86_64 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.37 % Memory : 8046.5625MB 0.10/0.37 % OS : Linux 6.8.0-71-generic 0.10/0.37 % CPULimit : 1440 0.10/0.37 % WCLimit : 180 0.10/0.37 % DateTime : Mon Jul 27 12:57:24 UTC 2026 0.10/0.38 % CPUTime : 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.10/0.43 Running higher-order theorem proving 5.03/5.37 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.BqIuQosIGa/E---3.1_3677348.p 9.24/7.95 % Version: 3.5.1-ho 9.24/7.95 % partial match(3): HMLLSMSLSSMCHSA 9.24/7.95 % Preprocessing class: HMLLSLLLSSLCHSA. 9.24/7.95 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 9.24/7.95 % Starting new_ho_10 with 895s (5) cores 9.24/7.95 % Starting sh5l with 179s (1) cores 9.24/7.95 % Starting new_bool_1 with 179s (1) cores 9.24/7.95 % Starting new_bool_2 with 179s (1) cores 9.24/7.95 % new_bool_2 with pid 3677365 completed with status 0 9.24/7.95 % Result found by new_bool_2 9.24/7.95 % partial match(3): HMLLSMSLSSMCHSA 9.24/7.95 % Preprocessing class: HMLLSLLLSSLCHSA. 9.24/7.95 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 9.24/7.95 % Starting new_ho_10 with 895s (5) cores 9.24/7.95 % Starting sh5l with 179s (1) cores 9.24/7.95 % Starting new_bool_1 with 179s (1) cores 9.24/7.95 % Starting new_bool_2 with 179s (1) cores 9.24/7.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 9.24/7.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 9.24/7.95 % Search class: HGHSM-FSLM32-DHSFFSBN 9.24/7.95 % Scheduled 7 strats onto 1 cores with 179 seconds (179 total) 9.24/7.95 % Starting SubtermCWHack with 17s (1) cores 9.24/7.95 % SubtermCWHack with pid 3677366 completed with status 0 9.24/7.95 % Result found by SubtermCWHack 9.24/7.95 % partial match(3): HMLLSMSLSSMCHSA 9.24/7.95 % Preprocessing class: HMLLSLLLSSLCHSA. 9.24/7.95 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 9.24/7.95 % Starting new_ho_10 with 895s (5) cores 9.24/7.95 % Starting sh5l with 179s (1) cores 9.24/7.95 % Starting new_bool_1 with 179s (1) cores 9.24/7.95 % Starting new_bool_2 with 179s (1) cores 9.24/7.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 9.24/7.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 9.24/7.95 % Search class: HGHSM-FSLM32-DHSFFSBN 9.24/7.95 % Scheduled 7 strats onto 1 cores with 179 seconds (179 total) 9.24/7.95 % Starting SubtermCWHack with 17s (1) cores 9.24/7.95 % Preprocessing time : 0.035 s 9.24/7.95 9.24/7.95 % Proof found! 9.24/7.95 % SZS status Theorem 9.24/7.95 % SZS output start CNFRefutation 9.24/7.95 thf(decl_sort1, type, produc3658429121746597890et_nat: $tType). 9.24/7.95 thf(decl_sort2, type, assn: $tType). 9.24/7.95 thf(decl_27, type, abs_assn: (produc3658429121746597890et_nat > $o) > assn). 9.24/7.95 thf(decl_28, type, rep_assn: assn > produc3658429121746597890et_nat > $o). 9.24/7.95 thf(decl_1501, type, x: assn). 9.24/7.95 thf(decl_1502, type, y: assn). 9.24/7.95 thf(conj_0, conjecture, ((((x)!=(y))&((x)=(abs_assn @ (^[X2429:produc3658429121746597890et_nat]:((((rep_assn @ y @ X2429))&((rep_assn @ x @ X2429))))))))<=>(((y)!=(abs_assn @ (^[X2430:produc3658429121746597890et_nat]:((((rep_assn @ y @ X2430))&((rep_assn @ x @ X2430)))))))&((x)=(abs_assn @ (^[X2431:produc3658429121746597890et_nat]:((((rep_assn @ y @ X2431))&((rep_assn @ x @ X2431))))))))), file('/export/starexec/sandbox/tmp/tmp.BqIuQosIGa/E---3.1_3677348.p', conj_0)). 9.24/7.95 thf(c_0_1, negated_conjecture, ~(((((x)!=(y))&((x)=(abs_assn @ (^[X2429:produc3658429121746597890et_nat]:((((rep_assn @ y @ X2429))&((rep_assn @ x @ X2429))))))))<=>(((y)!=(abs_assn @ (^[X2430:produc3658429121746597890et_nat]:((((rep_assn @ y @ X2430))&((rep_assn @ x @ X2430)))))))&((x)=(abs_assn @ (^[X2431:produc3658429121746597890et_nat]:((((rep_assn @ y @ X2431))&((rep_assn @ x @ X2431)))))))))), inference(assume_negation,[status(cth)],[conj_0])). 9.24/7.95 thf(c_0_2, negated_conjecture, ~(((((x)!=(y))&((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0))))))))<=>(((y)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))&((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))))), inference(fof_simplification,[status(thm)],[c_0_1])). 9.24/7.95 thf(c_0_3, negated_conjecture, ((((x)=(y))|((x)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|(((y)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))))&(((((y)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)!=(y)))&(((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)!=(y))))&((((y)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0))))))))&(((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])). 9.24/7.95 thf(c_0_4, negated_conjecture, (((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))), inference(split_conjunct,[status(thm)],[c_0_3])). 9.24/7.95 thf(c_0_5, negated_conjecture, (((x)=(y))|((y)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))), inference(split_conjunct,[status(thm)],[c_0_3])). 9.24/7.95 thf(c_0_6, negated_conjecture, (((y)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)!=(y))), inference(split_conjunct,[status(thm)],[c_0_3])). 9.24/7.95 thf(c_0_7, negated_conjecture, ((x)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0))))))), inference(cn,[status(thm)],[c_0_4])). 9.24/7.95 thf(c_0_8, negated_conjecture, (((y)=(x))|((y)=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))|((x)!=(abs_assn @ (^[Z0:produc3658429121746597890et_nat]:((((rep_assn @ y @ Z0))&((rep_assn @ x @ Z0)))))))), inference(cn,[status(thm)],[c_0_5])). 9.24/7.95 thf(c_0_9, negated_conjecture, ((y)!=(x)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])). 9.24/7.95 thf(c_0_10, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_7]), c_0_7])]), c_0_9]), ['proof']). 9.24/7.95 % SZS output end CNFRefutation 9.24/7.95 % Parsed axioms : 11329 9.24/7.95 % Removed by relevancy pruning/SinE : 10672 9.24/7.95 % Initial clauses : 993 9.24/7.95 % Removed in clause preprocessing : 23 9.24/7.95 % Initial clauses in saturation : 970 9.24/7.95 % Processed clauses : 5786 9.24/7.95 % ...of these trivial : 614 9.24/7.95 % ...subsumed : 3751 9.24/7.95 % ...remaining for further processing : 1420 9.24/7.95 % Other redundant clauses eliminated : 187 9.24/7.95 % Clauses deleted for lack of memory : 0 9.24/7.95 % Backward-subsumed : 65 9.24/7.95 % Backward-rewritten : 94 9.24/7.95 % Generated clauses : 30377 9.24/7.95 % ...of the previous two non-redundant : 21916 9.24/7.95 % ...aggressively subsumed : 0 9.24/7.95 % Contextual simplify-reflections : 7 9.24/7.95 % Paramodulations : 30047 9.24/7.95 % Factorizations : 24 9.24/7.95 % NegExts : 0 9.24/7.95 % Equation resolutions : 192 9.24/7.95 % Disequality decompositions : 0 9.24/7.95 % Total rewrite steps : 12051 9.24/7.95 % ...of those cached : 9700 9.24/7.95 % Propositional unsat checks : 0 9.24/7.95 % Propositional check models : 0 9.24/7.95 % Propositional check unsatisfiable : 0 9.24/7.95 % Propositional clauses : 0 9.24/7.95 % Propositional clauses after purity: 0 9.24/7.95 % Propositional unsat core size : 0 9.24/7.95 % Propositional preprocessing time : 0.000 9.24/7.95 % Propositional encoding time : 0.000 9.24/7.95 % Propositional solver time : 0.000 9.24/7.95 % Success case prop preproc time : 0.000 9.24/7.95 % Success case prop encoding time : 0.000 9.24/7.95 % Success case prop solver time : 0.000 9.24/7.95 % Current number of processed clauses : 1191 9.24/7.95 % Positive orientable unit clauses : 383 9.24/7.95 % Positive unorientable unit clauses: 6 9.24/7.95 % Negative unit clauses : 177 9.24/7.95 % Non-unit-clauses : 625 9.24/7.95 % Current number of unprocessed clauses: 16793 9.24/7.95 % ...number of literals in the above : 35784 9.24/7.95 % Current number of archived formulas : 0 9.24/7.95 % Current number of archived clauses : 179 9.24/7.95 % Clause-clause subsumption calls (NU) : 75513 9.24/7.95 % Rec. Clause-clause subsumption calls : 60250 9.24/7.95 % Non-unit clause-clause subsumptions : 1782 9.24/7.95 % Unit Clause-clause subsumption calls : 10107 9.24/7.95 % Rewrite failures with RHS unbound : 0 9.24/7.95 % BW rewrite match attempts : 870 9.24/7.95 % BW rewrite match successes : 139 9.24/7.95 % Condensation attempts : 0 9.24/7.95 % Condensation successes : 0 9.24/7.95 % Termbank termtop insertions : 503224 9.24/7.95 % Search garbage collected termcells : 111681 9.24/7.95 9.24/7.95 % ------------------------------------------------- 9.24/7.95 % User time : 0.921 s 9.24/7.95 % System time : 0.088 s 9.24/7.95 % Total time : 1.009 s 9.24/7.95 % Maximum resident set size: 33268 pages 9.24/7.95 9.24/7.95 % ------------------------------------------------- 9.24/7.95 % User time : 2.424 s 9.24/7.95 % System time : 0.130 s 9.24/7.95 % Total time : 2.554 s 9.24/7.95 % Maximum resident set size: 29184 pages 9.24/7.95 % E exiting 9.24/7.95 EOF