0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.36 % Computer : n002.cluster.edu 0.12/0.36 % Model : x86_64 x86_64 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.36 % Memory : 8046.5625MB 0.12/0.36 % OS : Linux 6.8.0-71-generic 0.12/0.36 % CPULimit : 1440 0.12/0.36 % WCLimit : 180 0.12/0.36 % DateTime : Mon Jul 27 12:24:59 UTC 2026 0.17/0.36 % CPUTime : 0.17/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.17/0.41 Running higher-order theorem proving 3.67/4.02 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=180 /export/starexec/sandbox2/tmp/tmp.Zb398t55S8/E---3.1_3312298.p 5.32/5.94 % Version: 3.5.1-ho 5.32/5.94 % Preprocessing class: HMLLSMLLSSLNSFA. 5.32/5.94 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 5.32/5.94 % Starting new_bool_8 with 716s (4) cores 5.32/5.94 % Starting post_as_ho5 with 358s (2) cores 5.32/5.94 % Starting new_bool_9 with 179s (1) cores 5.32/5.94 % Starting new_bool_3 with 179s (1) cores 5.32/5.94 % new_bool_9 with pid 3312313 completed with status 0 5.32/5.94 % Result found by new_bool_9 5.32/5.94 % Preprocessing class: HMLLSMLLSSLNSFA. 5.32/5.94 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 5.32/5.94 % Starting new_bool_8 with 716s (4) cores 5.32/5.94 % Starting post_as_ho5 with 358s (2) cores 5.32/5.94 % Starting new_bool_9 with 179s (1) cores 5.32/5.94 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0)) 5.32/5.94 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 5.32/5.94 % Search class: HGHSM-SMLM33-DSFFFFNN 5.32/5.94 % partial match(2): FGHSM-SMLM33-DFFFFFNN 5.32/5.94 % Scheduled 7 strats onto 1 cores with 179 seconds (179 total) 5.32/5.94 % Starting SubtermCWHack with 17s (1) cores 5.32/5.94 % SubtermCWHack with pid 3312315 completed with status 0 5.32/5.94 % Result found by SubtermCWHack 5.32/5.94 % Preprocessing class: HMLLSMLLSSLNSFA. 5.32/5.94 % Scheduled 4 strats onto 8 cores with 179 seconds (1432 total) 5.32/5.94 % Starting new_bool_8 with 716s (4) cores 5.32/5.94 % Starting post_as_ho5 with 358s (2) cores 5.32/5.94 % Starting new_bool_9 with 179s (1) cores 5.32/5.94 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0)) 5.32/5.94 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 5.32/5.94 % Search class: HGHSM-SMLM33-DSFFFFNN 5.32/5.94 % partial match(2): FGHSM-SMLM33-DFFFFFNN 5.32/5.94 % Scheduled 7 strats onto 1 cores with 179 seconds (179 total) 5.32/5.94 % Starting SubtermCWHack with 17s (1) cores 5.32/5.94 % Preprocessing time : 0.067 s 5.32/5.94 5.32/5.94 % Proof found! 5.32/5.94 % SZS status Theorem 5.32/5.94 % SZS output start CNFRefutation 5.32/5.94 thf(decl_sort1, type, del: $tType). 5.32/5.94 thf(decl_23, type, bool: del). 5.32/5.94 thf(decl_25, type, arr: del > del > del). 5.32/5.94 thf(decl_26, type, mem: $i > del > $o). 5.32/5.94 thf(decl_27, type, ap: $i > $i > $i). 5.32/5.94 thf(decl_29, type, p: $i > $o). 5.32/5.94 thf(decl_1132, type, c_2Ecardinal_2Ecardleq: del > del > $i). 5.32/5.94 thf(conj_thm_2Ecardinal_2ECARD__NOT__LE, conjecture, ![X10:del, X14:del, X180:$i]:(((mem @ X180 @ (arr @ X10 @ bool))=>![X37:$i]:(((mem @ X37 @ (arr @ X14 @ bool))=>(~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X14) @ X180) @ X37)))<=>~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X14) @ X180) @ X37)))))))), file('/export/starexec/sandbox2/tmp/tmp.Zb398t55S8/E---3.1_3312298.p', conj_thm_2Ecardinal_2ECARD__NOT__LE)). 5.32/5.94 thf(c_0_1, negated_conjecture, ~(![X10:del, X14:del, X180:$i]:(((mem @ X180 @ (arr @ X10 @ bool))=>![X37:$i]:(((mem @ X37 @ (arr @ X14 @ bool))=>(~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X14) @ X180) @ X37)))<=>~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X14) @ X180) @ X37))))))))), inference(assume_negation,[status(cth)],[conj_thm_2Ecardinal_2ECARD__NOT__LE])). 5.32/5.94 thf(c_0_2, negated_conjecture, ~(![X10:del, X14:del, X180:$i]:(((mem @ X180 @ (arr @ X10 @ bool))=>![X37:$i]:(($true))))), inference(fof_simplification,[status(thm)],[c_0_1])). 5.32/5.94 thf(c_0_3, negated_conjecture, ~($true), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])). 5.32/5.94 thf(c_0_4, negated_conjecture, ~(($true)), inference(split_conjunct,[status(thm)],[c_0_3])). 5.32/5.94 thf(c_0_5, negated_conjecture, ($false), inference(cn,[status(thm)],[c_0_4]), ['proof']). 5.32/5.94 % SZS output end CNFRefutation 5.32/5.94 % Parsed axioms : 8027 5.32/5.94 % Removed by relevancy pruning/SinE : 7595 5.32/5.94 % Initial clauses : 2229 5.32/5.94 % Removed in clause preprocessing : 1013 5.32/5.94 % Initial clauses in saturation : 1216 5.32/5.94 % Processed clauses : 1 5.32/5.94 % ...of these trivial : 0 5.32/5.94 % ...subsumed : 0 5.32/5.94 % ...remaining for further processing : 0 5.32/5.94 % Other redundant clauses eliminated : 0 5.32/5.94 % Clauses deleted for lack of memory : 0 5.32/5.94 % Backward-subsumed : 0 5.32/5.94 % Backward-rewritten : 0 5.32/5.94 % Generated clauses : 0 5.32/5.94 % ...of the previous two non-redundant : 0 5.32/5.94 % ...aggressively subsumed : 0 5.32/5.94 % Contextual simplify-reflections : 0 5.32/5.94 % Paramodulations : 0 5.32/5.94 % Factorizations : 0 5.32/5.94 % NegExts : 0 5.32/5.94 % Equation resolutions : 0 5.32/5.94 % Disequality decompositions : 0 5.32/5.94 % Total rewrite steps : 0 5.32/5.94 % ...of those cached : 0 5.32/5.94 % Propositional unsat checks : 0 5.32/5.94 % Propositional check models : 0 5.32/5.94 % Propositional check unsatisfiable : 0 5.32/5.94 % Propositional clauses : 0 5.32/5.94 % Propositional clauses after purity: 0 5.32/5.94 % Propositional unsat core size : 0 5.32/5.94 % Propositional preprocessing time : 0.000 5.32/5.94 % Propositional encoding time : 0.000 5.32/5.94 % Propositional solver time : 0.000 5.32/5.94 % Success case prop preproc time : 0.000 5.32/5.94 % Success case prop encoding time : 0.000 5.32/5.94 % Success case prop solver time : 0.000 5.32/5.94 % Current number of processed clauses : 0 5.32/5.94 % Positive orientable unit clauses : 0 5.32/5.94 % Positive unorientable unit clauses: 0 5.32/5.94 % Negative unit clauses : 0 5.32/5.94 % Non-unit-clauses : 0 5.32/5.94 % Current number of unprocessed clauses: 1215 5.32/5.94 % ...number of literals in the above : 6249 5.32/5.94 % Current number of archived formulas : 0 5.32/5.94 % Current number of archived clauses : 0 5.32/5.94 % Clause-clause subsumption calls (NU) : 0 5.32/5.94 % Rec. Clause-clause subsumption calls : 0 5.32/5.94 % Non-unit clause-clause subsumptions : 0 5.32/5.94 % Unit Clause-clause subsumption calls : 0 5.32/5.94 % Rewrite failures with RHS unbound : 0 5.32/5.94 % BW rewrite match attempts : 0 5.32/5.94 % BW rewrite match successes : 0 5.32/5.94 % Condensation attempts : 0 5.32/5.94 % Condensation successes : 0 5.32/5.94 % Termbank termtop insertions : 779320 5.32/5.94 % Search garbage collected termcells : 253604 5.32/5.94 5.32/5.94 % ------------------------------------------------- 5.32/5.94 % User time : 0.277 s 5.32/5.94 % System time : 0.074 s 5.32/5.94 % Total time : 0.351 s 5.32/5.94 % Maximum resident set size: 47428 pages 5.32/5.94 5.32/5.94 % ------------------------------------------------- 5.32/5.94 % User time : 1.743 s 5.32/5.94 % System time : 0.143 s 5.32/5.94 % Total time : 1.887 s 5.32/5.94 % Maximum resident set size: 42752 pages 5.32/5.94 % E exiting 5.32/5.94 EOF