0.00/0.02 % 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 0.09/0.35 % Computer : n003.cluster.edu 0.09/0.35 % Model : x86_64 x86_64 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.35 % Memory : 8046.5625MB 0.09/0.35 % OS : Linux 6.8.0-71-generic 0.09/0.35 % CPULimit : 1440 0.09/0.35 % WCLimit : 180 0.09/0.35 % DateTime : Mon Jul 27 09:56:38 UTC 2026 0.13/0.36 % CPUTime : 0.13/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.13/0.40 Running higher-order theorem proving 0.13/0.42 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.vNqMyYqnyl/E---3.1_3809260.p 0.13/0.44 % Version: 3.5.1-ho 0.13/0.44 % Preprocessing class: HSLSSMSMSSSNSFA. 0.13/0.44 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.44 % Starting new_ho_10 with 540s (3) cores 0.13/0.44 % Starting sh2lt with 180s (1) cores 0.13/0.44 % Starting new_ho_5 with 180s (1) cores 0.13/0.44 % Starting full_lambda_5 with 180s (1) cores 0.13/0.44 % Starting sh9 with 180s (1) cores 0.13/0.44 % Starting ehoh_best8_lambda with 180s (1) cores 0.13/0.44 % sh2lt with pid 3809274 completed with status 0 0.13/0.44 % Result found by sh2lt 0.13/0.44 % Preprocessing class: HSLSSMSMSSSNSFA. 0.13/0.44 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.44 % Starting new_ho_10 with 540s (3) cores 0.13/0.44 % Starting sh2lt with 180s (1) cores 0.13/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.13/0.44 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.13/0.44 % Search class: HGHSF-FFMF32-MSFFFFNN 0.13/0.44 % partial match(2): FGHSF-FFMF32-MFFFFFNN 0.13/0.44 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.13/0.44 % Starting SubtermCWHack with 17s (1) cores 0.13/0.44 % SubtermCWHack with pid 3809279 completed with status 0 0.13/0.44 % Result found by SubtermCWHack 0.13/0.44 % Preprocessing class: HSLSSMSMSSSNSFA. 0.13/0.44 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.44 % Starting new_ho_10 with 540s (3) cores 0.13/0.44 % Starting sh2lt with 180s (1) cores 0.13/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 0.13/0.44 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 0.13/0.44 % Search class: HGHSF-FFMF32-MSFFFFNN 0.13/0.44 % partial match(2): FGHSF-FFMF32-MFFFFFNN 0.13/0.44 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.13/0.44 % Starting SubtermCWHack with 17s (1) cores 0.13/0.44 % Preprocessing time : 0.002 s 0.13/0.44 0.13/0.44 % Proof found! 0.13/0.44 % SZS status Theorem 0.13/0.44 % SZS output start CNFRefutation 0.13/0.44 thf(decl_sort1, type, del: $tType). 0.13/0.44 thf(decl_23, type, bool: del). 0.13/0.44 thf(decl_25, type, arr: del > del > del). 0.13/0.44 thf(decl_26, type, mem: $i > del > $o). 0.13/0.44 thf(decl_27, type, ap: $i > $i > $i). 0.13/0.44 thf(decl_29, type, p: $i > $o). 0.13/0.44 thf(decl_32, type, c_2Ecardinal_2Ecardleq: del > del > $i). 0.13/0.44 thf(conj_thm_2Ecardinal_2ECARD__NOT__LE, conjecture, ![X10:del, X11:del, X12:$i]:((![X13:$i]:(((~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X11) @ X12) @ X13)))<=>~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X11) @ X12) @ X13))))<=(mem @ X13 @ (arr @ X11 @ bool))))<=(mem @ X12 @ (arr @ X10 @ bool)))), file('/export/starexec/sandbox/tmp/tmp.vNqMyYqnyl/E---3.1_3809260.p', conj_thm_2Ecardinal_2ECARD__NOT__LE)). 0.13/0.44 thf(c_0_1, negated_conjecture, ~(![X10:del, X11:del, X12:$i]:((![X13:$i]:(((~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X11) @ X12) @ X13)))<=>~((p @ (ap @ (ap @ (c_2Ecardinal_2Ecardleq @ X10 @ X11) @ X12) @ X13))))<=(mem @ X13 @ (arr @ X11 @ bool))))<=(mem @ X12 @ (arr @ X10 @ bool))))), inference(assume_negation,[status(cth)],[conj_thm_2Ecardinal_2ECARD__NOT__LE])). 0.13/0.44 thf(c_0_2, negated_conjecture, ~(![X10:del, X11:del, X12:$i]:(((mem @ X12 @ (arr @ X10 @ bool))=>![X13:$i]:(($true))))), inference(fof_simplification,[status(thm)],[c_0_1])). 0.13/0.44 thf(c_0_3, negated_conjecture, ~($true), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2])])). 0.13/0.44 thf(c_0_4, negated_conjecture, ~(($true)), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.44 thf(c_0_5, negated_conjecture, ($false), inference(cn,[status(thm)],[c_0_4]), ['proof']). 0.13/0.44 % SZS output end CNFRefutation 0.13/0.44 % Parsed axioms : 58 0.13/0.44 % Removed by relevancy pruning/SinE : 40 0.13/0.44 % Initial clauses : 126 0.13/0.44 % Removed in clause preprocessing : 94 0.13/0.44 % Initial clauses in saturation : 32 0.13/0.44 % Processed clauses : 1 0.13/0.44 % ...of these trivial : 0 0.13/0.44 % ...subsumed : 0 0.13/0.44 % ...remaining for further processing : 0 0.13/0.44 % Other redundant clauses eliminated : 0 0.13/0.44 % Clauses deleted for lack of memory : 0 0.13/0.44 % Backward-subsumed : 0 0.13/0.44 % Backward-rewritten : 0 0.13/0.44 % Generated clauses : 0 0.13/0.44 % ...of the previous two non-redundant : 0 0.13/0.44 % ...aggressively subsumed : 0 0.13/0.44 % Contextual simplify-reflections : 0 0.13/0.44 % Paramodulations : 0 0.13/0.44 % Factorizations : 0 0.13/0.44 % NegExts : 0 0.13/0.44 % Equation resolutions : 0 0.13/0.44 % Disequality decompositions : 0 0.13/0.44 % Total rewrite steps : 0 0.13/0.44 % ...of those cached : 0 0.13/0.44 % Propositional unsat checks : 0 0.13/0.44 % Propositional check models : 0 0.13/0.44 % Propositional check unsatisfiable : 0 0.13/0.44 % Propositional clauses : 0 0.13/0.44 % Propositional clauses after purity: 0 0.13/0.44 % Propositional unsat core size : 0 0.13/0.44 % Propositional preprocessing time : 0.000 0.13/0.44 % Propositional encoding time : 0.000 0.13/0.44 % Propositional solver time : 0.000 0.13/0.44 % Success case prop preproc time : 0.000 0.13/0.44 % Success case prop encoding time : 0.000 0.13/0.44 % Success case prop solver time : 0.000 0.13/0.44 % Current number of processed clauses : 0 0.13/0.44 % Positive orientable unit clauses : 0 0.13/0.44 % Positive unorientable unit clauses: 0 0.13/0.44 % Negative unit clauses : 0 0.13/0.44 % Non-unit-clauses : 0 0.13/0.44 % Current number of unprocessed clauses: 31 0.13/0.44 % ...number of literals in the above : 143 0.13/0.44 % Current number of archived formulas : 0 0.13/0.44 % Current number of archived clauses : 0 0.13/0.44 % Clause-clause subsumption calls (NU) : 0 0.13/0.44 % Rec. Clause-clause subsumption calls : 0 0.13/0.44 % Non-unit clause-clause subsumptions : 0 0.13/0.44 % Unit Clause-clause subsumption calls : 0 0.13/0.44 % Rewrite failures with RHS unbound : 0 0.13/0.44 % BW rewrite match attempts : 0 0.13/0.44 % BW rewrite match successes : 0 0.13/0.44 % Condensation attempts : 0 0.13/0.44 % Condensation successes : 0 0.13/0.44 % Termbank termtop insertions : 8238 0.13/0.44 % Search garbage collected termcells : 2066 0.13/0.44 0.13/0.44 % ------------------------------------------------- 0.13/0.44 % User time : 0.007 s 0.13/0.44 % System time : 0.001 s 0.13/0.44 % Total time : 0.008 s 0.13/0.44 % Maximum resident set size: 3964 pages 0.13/0.44 0.13/0.44 % ------------------------------------------------- 0.13/0.44 % User time : 0.012 s 0.13/0.44 % System time : 0.004 s 0.13/0.44 % Total time : 0.016 s 0.13/0.44 % Maximum resident set size: 4864 pages 0.13/0.44 % E exiting 0.13/0.44 EOF