0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.08/0.34 % Computer : n020.cluster.edu 0.08/0.34 % Model : x86_64 x86_64 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.34 % Memory : 8046.5625MB 0.08/0.34 % OS : Linux 6.8.0-71-generic 0.08/0.34 % CPULimit : 1440 0.08/0.34 % WCLimit : 180 0.08/0.34 % DateTime : Mon Jul 27 09:29:06 UTC 2026 0.08/0.34 % CPUTime : 0.08/0.34 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.39 Running higher-order theorem proving 0.12/0.40 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.zoRXe1q5jI/E---3.1_2471326.p 0.12/0.42 % Version: 3.5.1-ho 0.12/0.42 % Preprocessing class: HSSSSMSSSSMCHHA. 0.12/0.42 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.12/0.42 % Starting ho_unfolding_3 with 900s (5) cores 0.12/0.42 % Starting ehoh_best_sine_rwall with 180s (1) cores 0.12/0.42 % Starting new_bool_3 with 180s (1) cores 0.12/0.42 % Starting new_bool_1 with 180s (1) cores 0.12/0.42 % ehoh_best_sine_rwall with pid 2471340 completed with status 0 0.12/0.42 % Result found by ehoh_best_sine_rwall 0.12/0.42 % Preprocessing class: HSSSSMSSSSMCHHA. 0.12/0.42 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.12/0.42 % Starting ho_unfolding_3 with 900s (5) cores 0.12/0.42 % Starting ehoh_best_sine_rwall with 180s (1) cores 0.12/0.42 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000) 0.12/0.42 % SinE strategy is gf500_gu_R04_F100_L20000 0.12/0.42 % Search class: HHUNF-FFSS00-SHHFFSBC 0.12/0.42 % partial match(3): HGUNF-FFSF00-SHHFFSBN 0.12/0.42 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.12/0.42 % Starting SubtermCWHack with 17s (1) cores 0.12/0.42 % SubtermCWHack with pid 2471343 completed with status 10 0.12/0.42 % Starting ehoh_best_sine_rwall with 19s (1) cores 0.12/0.43 % ehoh_best_sine_rwall with pid 2471353 completed with status 0 0.12/0.43 % Result found by ehoh_best_sine_rwall 0.12/0.43 % Preprocessing class: HSSSSMSSSSMCHHA. 0.12/0.43 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.12/0.43 % Starting ho_unfolding_3 with 900s (5) cores 0.12/0.43 % Starting ehoh_best_sine_rwall with 180s (1) cores 0.12/0.43 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000) 0.12/0.43 % SinE strategy is gf500_gu_R04_F100_L20000 0.12/0.43 % Search class: HHUNF-FFSS00-SHHFFSBC 0.12/0.43 % partial match(3): HGUNF-FFSF00-SHHFFSBN 0.12/0.43 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.12/0.43 % Starting SubtermCWHack with 17s (1) cores 0.12/0.43 % SubtermCWHack with pid 2471343 completed with status 10 0.12/0.43 % Starting ehoh_best_sine_rwall with 19s (1) cores 0.12/0.43 % Preprocessing time : 0.001 s 0.12/0.43 % Presaturation interreduction done 0.12/0.43 0.12/0.43 % Proof found! 0.12/0.43 % SZS status Theorem 0.12/0.43 % SZS output start CNFRefutation 0.12/0.43 thf(decl_23, type, epso: ($o > $o) > $o). 0.12/0.43 thf(decl_24, type, epsoo: (($o > $o) > $o) > $o > $o). 0.12/0.43 thf(decl_25, type, q: ($o > $o) > $o). 0.12/0.43 thf(decl_26, type, esk1_0: $o). 0.12/0.43 thf(decl_27, type, esk2_0: $o). 0.12/0.43 thf(decl_28, type, esk3_0: $o). 0.12/0.43 thf(c, conjecture, (q @ (epsoo @ epso)), file('/export/starexec/sandbox2/tmp/tmp.zoRXe1q5jI/E---3.1_2471326.p', c)). 0.12/0.43 thf(qkf, axiom, (q @ (^[X2:$o]:(~($true)))), file('/export/starexec/sandbox2/tmp/tmp.zoRXe1q5jI/E---3.1_2471326.p', qkf)). 0.12/0.43 thf(qkt, axiom, (q @ (^[X2:$o]:(($true)))), file('/export/starexec/sandbox2/tmp/tmp.zoRXe1q5jI/E---3.1_2471326.p', qkt)). 0.12/0.43 thf(qid, axiom, (q @ (^[X2:$o]:((X2)))), file('/export/starexec/sandbox2/tmp/tmp.zoRXe1q5jI/E---3.1_2471326.p', qid)). 0.12/0.43 thf(choiceaxo, axiom, ![X1:$o > $o]:(((X1 @ ((epso @ X1)))<=?[X2:$o]:((X1 @ ((X2)))))), file('/export/starexec/sandbox2/tmp/tmp.zoRXe1q5jI/E---3.1_2471326.p', choiceaxo)). 0.12/0.43 thf(choiceaxoo, axiom, ![X3:($o > $o) > $o]:((?[X4:$o > $o]:((X3 @ X4))=>(X3 @ (epsoo @ X3)))), file('/export/starexec/sandbox2/tmp/tmp.zoRXe1q5jI/E---3.1_2471326.p', choiceaxoo)). 0.12/0.43 thf(c_0_6, negated_conjecture, ~((q @ (epsoo @ epso))), inference(assume_negation,[status(cth)],[c])). 0.12/0.43 thf(c_0_7, negated_conjecture, ~(q @ (epsoo @ epso)), inference(fof_simplification,[status(thm)],[c_0_6])). 0.12/0.43 thf(c_0_8, plain, (q @ (^[Z0:$o]:(~($true)))), inference(fof_simplification,[status(thm)],[qkf])). 0.12/0.43 thf(c_0_9, negated_conjecture, ~(q @ (epsoo @ epso)), inference(fof_nnf,[status(thm)],[c_0_7])). 0.12/0.43 thf(c_0_10, plain, (q @ (^[Z0:$o]:($true))), inference(fof_simplification,[status(thm)],[qkt])). 0.12/0.43 thf(c_0_11, plain, (q @ (^[Z0:$o]:(~(($true))))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.12/0.43 thf(c_0_12, plain, (q @ (^[Z0:$o]:(Z0))), inference(fof_simplification,[status(thm)],[qid])). 0.12/0.43 thf(c_0_13, negated_conjecture, ~((q @ (epsoo @ epso))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.12/0.43 thf(c_0_14, plain, (q @ (^[Z0:$o]:(($true)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.12/0.43 thf(c_0_15, plain, (q @ (^[Z0:$o]:(~($true)))), inference(cn,[status(thm)],[c_0_11])). 0.12/0.43 thf(c_0_16, plain, (q @ (^[Z0:$o]:((Z0)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.12/0.43 thf(c_0_17, plain, ((^[Z0:$o]:(($true)))!=(epsoo @ epso)), inference(ext_sup,[status(thm)],[c_0_13, c_0_14])). 0.12/0.43 thf(c_0_18, plain, ((^[Z0:$o]:(~($true)))!=(epsoo @ epso)), inference(ext_sup,[status(thm)],[c_0_13, c_0_15])). 0.12/0.43 thf(c_0_19, plain, ((^[Z0:$o]:((Z0)))!=(epsoo @ epso)), inference(ext_sup,[status(thm)],[c_0_13, c_0_16])). 0.12/0.43 thf(c_0_20, plain, ![X1:$o > $o]:((?[X2:$o]:((X1 @ ((X2))))=>(X1 @ ((epso @ X1))))), inference(fof_simplification,[status(thm)],[choiceaxo])). 0.12/0.43 thf(c_0_21, plain, ~((epsoo @ epso @ ((esk1_0)))), inference(neg_ext,[status(thm)],[c_0_17])). 0.12/0.43 thf(c_0_22, plain, (epsoo @ epso @ ((esk3_0))), inference(neg_ext,[status(thm)],[c_0_18])). 0.12/0.43 thf(c_0_23, plain, ((epsoo @ epso @ ((esk2_0)))<~>(esk2_0)), inference(neg_ext,[status(thm)],[c_0_19])). 0.12/0.43 thf(c_0_24, plain, ![X11:$o > $o, X12:$o]:((~(X11 @ ((X12)))|(X11 @ ((epso @ X11))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])). 0.12/0.43 thf(c_0_25, plain, ((esk1_0)<~>(esk3_0)), inference(ext_sup,[status(thm)],[c_0_21, c_0_22])). 0.12/0.43 thf(c_0_26, plain, ((epsoo @ epso @ (~($true)))|(esk2_0)), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23])])). 0.12/0.43 thf(c_0_27, plain, (~((epsoo @ epso @ (($true))))|~((esk2_0))), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_23])])). 0.12/0.43 thf(c_0_28, plain, ![X1:$o > $o, X2:$o]:(((X1 @ ((epso @ X1)))|~((X1 @ ((X2)))))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.12/0.43 thf(c_0_29, plain, (~((esk1_0))|~((esk3_0))), inference(dynamic_cnf,[status(thm)],[c_0_25])). 0.12/0.43 thf(c_0_30, plain, ((esk2_0)|(esk1_0)), inference(ext_sup,[status(thm)],[c_0_21, c_0_26])). 0.12/0.43 thf(c_0_31, plain, (~((esk3_0))|~((esk2_0))), inference(ext_sup,[status(thm)],[c_0_27, c_0_22])). 0.12/0.43 thf(c_0_32, plain, ![X9:($o > $o) > $o, X10:$o > $o]:((~(X9 @ X10)|(X9 @ (epsoo @ X9)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[choiceaxoo])])])])). 0.12/0.43 thf(c_0_33, plain, ~((epso @ $not)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_28])])])). 0.12/0.43 thf(c_0_34, plain, ((esk3_0)|(esk1_0)), inference(dynamic_cnf,[status(thm)],[c_0_25])). 0.12/0.43 thf(c_0_35, plain, ~((esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])). 0.12/0.43 thf(c_0_36, plain, ![X3:($o > $o) > $o, X1:$o > $o]:(((X3 @ (epsoo @ X3))|~((X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.12/0.43 thf(c_0_37, plain, (epso @ (^[Z0:$o]:((Z0)))), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(choice_inst,[status(thm)],[inference(cn,[status(thm)],[]), c_0_33, c_0_28])])])). 0.12/0.43 thf(c_0_38, plain, (esk1_0), inference(sr,[status(thm)],[c_0_34, c_0_35])). 0.12/0.43 thf(c_0_39, plain, (epsoo @ epso @ ((epso @ (epsoo @ epso)))), inference(spm,[status(thm)],[c_0_28, c_0_22])). 0.12/0.43 thf(c_0_40, plain, (epso @ (epsoo @ epso)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.12/0.43 thf(c_0_41, plain, ~((epsoo @ epso @ (($true)))), inference(rw,[status(thm)],[c_0_21, c_0_38])). 0.12/0.43 thf(c_0_42, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_41]), ['proof']). 0.12/0.43 % SZS output end CNFRefutation 0.12/0.43 % Parsed axioms : 9 0.12/0.43 % Removed by relevancy pruning/SinE : 3 0.12/0.43 % Initial clauses : 6 0.12/0.43 % Removed in clause preprocessing : 0 0.12/0.43 % Initial clauses in saturation : 6 0.12/0.43 % Processed clauses : 56 0.12/0.43 % ...of these trivial : 2 0.12/0.43 % ...subsumed : 11 0.12/0.43 % ...remaining for further processing : 43 0.12/0.43 % Other redundant clauses eliminated : 1 0.12/0.43 % Clauses deleted for lack of memory : 0 0.12/0.43 % Backward-subsumed : 7 0.12/0.43 % Backward-rewritten : 2 0.12/0.43 % Generated clauses : 69 0.12/0.43 % ...of the previous two non-redundant : 53 0.12/0.43 % ...aggressively subsumed : 0 0.12/0.43 % Contextual simplify-reflections : 1 0.12/0.43 % Paramodulations : 14 0.12/0.43 % Factorizations : 0 0.12/0.43 % NegExts : 4 0.12/0.43 % Equation resolutions : 1 0.12/0.43 % Disequality decompositions : 0 0.12/0.43 % Total rewrite steps : 8 0.12/0.43 % ...of those cached : 4 0.12/0.43 % Propositional unsat checks : 0 0.12/0.43 % Propositional check models : 0 0.12/0.43 % Propositional check unsatisfiable : 0 0.12/0.43 % Propositional clauses : 0 0.12/0.43 % Propositional clauses after purity: 0 0.12/0.43 % Propositional unsat core size : 0 0.12/0.43 % Propositional preprocessing time : 0.000 0.12/0.43 % Propositional encoding time : 0.000 0.12/0.43 % Propositional solver time : 0.000 0.12/0.43 % Success case prop preproc time : 0.000 0.12/0.43 % Success case prop encoding time : 0.000 0.12/0.43 % Success case prop solver time : 0.000 0.12/0.43 % Current number of processed clauses : 24 0.12/0.43 % Positive orientable unit clauses : 8 0.12/0.43 % Positive unorientable unit clauses: 0 0.12/0.43 % Negative unit clauses : 8 0.12/0.43 % Non-unit-clauses : 8 0.12/0.43 % Current number of unprocessed clauses: 9 0.12/0.43 % ...number of literals in the above : 16 0.12/0.43 % Current number of archived formulas : 0 0.12/0.43 % Current number of archived clauses : 19 0.12/0.43 % Clause-clause subsumption calls (NU) : 50 0.12/0.43 % Rec. Clause-clause subsumption calls : 48 0.12/0.43 % Non-unit clause-clause subsumptions : 12 0.12/0.43 % Unit Clause-clause subsumption calls : 33 0.12/0.43 % Rewrite failures with RHS unbound : 0 0.12/0.43 % BW rewrite match attempts : 8 0.12/0.43 % BW rewrite match successes : 2 0.12/0.43 % Condensation attempts : 0 0.12/0.43 % Condensation successes : 0 0.12/0.43 % Termbank termtop insertions : 2459 0.12/0.43 % Search garbage collected termcells : 73 0.12/0.43 0.12/0.43 % ------------------------------------------------- 0.12/0.43 % User time : 0.004 s 0.12/0.43 % System time : 0.005 s 0.12/0.43 % Total time : 0.009 s 0.12/0.43 % Maximum resident set size: 3636 pages 0.12/0.43 0.12/0.43 % ------------------------------------------------- 0.12/0.43 % User time : 0.006 s 0.12/0.43 % System time : 0.009 s 0.12/0.43 % Total time : 0.015 s 0.12/0.43 % Maximum resident set size: 4608 pages 0.12/0.43 % E exiting 0.12/0.43 EOF