0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.43 % Computer : n022.cluster.edu 0.15/0.43 % Model : x86_64 x86_64 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.43 % Memory : 8046.5625MB 0.15/0.43 % OS : Linux 6.8.0-71-generic 0.15/0.43 % CPULimit : 1440 0.15/0.43 % WCLimit : 180 0.15/0.43 % DateTime : Mon Jul 27 09:40:13 UTC 2026 0.15/0.43 % CPUTime : 0.15/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.15/0.50 Running higher-order theorem proving 0.26/0.61 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.3BGcT2w7b6/E---3.1_720502.p 0.37/0.86 % Version: 3.5.1-ho 0.37/0.86 % Preprocessing class: HSLMSMSSSSMNHSA. 0.37/0.86 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.37/0.86 % Starting new_ho_10 with 900s (5) cores 0.37/0.86 % Starting sh5l with 180s (1) cores 0.37/0.86 % Starting new_bool_1 with 180s (1) cores 0.37/0.86 % Starting new_bool_2 with 180s (1) cores 0.37/0.86 % new_bool_2 with pid 720522 completed with status 0 0.37/0.86 % Result found by new_bool_2 0.37/0.86 % Preprocessing class: HSLMSMSSSSMNHSA. 0.37/0.86 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.37/0.86 % Starting new_ho_10 with 900s (5) cores 0.37/0.86 % Starting sh5l with 180s (1) cores 0.37/0.86 % Starting new_bool_1 with 180s (1) cores 0.37/0.86 % Starting new_bool_2 with 180s (1) cores 0.37/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.37/0.86 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.37/0.86 % Search class: HGHSM-FSLM32-DHSFFSBN 0.37/0.86 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.37/0.86 % Starting SubtermCWHack with 17s (1) cores 0.37/0.86 % SubtermCWHack with pid 720523 completed with status 0 0.37/0.86 % Result found by SubtermCWHack 0.37/0.86 % Preprocessing class: HSLMSMSSSSMNHSA. 0.37/0.86 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.37/0.86 % Starting new_ho_10 with 900s (5) cores 0.37/0.86 % Starting sh5l with 180s (1) cores 0.37/0.86 % Starting new_bool_1 with 180s (1) cores 0.37/0.86 % Starting new_bool_2 with 180s (1) cores 0.37/0.86 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.37/0.86 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.37/0.86 % Search class: HGHSM-FSLM32-DHSFFSBN 0.37/0.86 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.37/0.86 % Starting SubtermCWHack with 17s (1) cores 0.37/0.86 % Preprocessing time : 0.007 s 0.37/0.86 0.37/0.86 % Proof found! 0.37/0.86 % SZS status Theorem 0.37/0.86 % SZS output start CNFRefutation 0.37/0.86 thf(decl_sort1, type, nat: $tType). 0.37/0.86 thf(decl_sort2, type, paraco1605129243lle_tv: $tType). 0.37/0.86 thf(decl_sort3, type, set_Pa1764573435lle_tv: $tType). 0.37/0.86 thf(decl_26, type, inj_on772319074lle_tv: (paraco1605129243lle_tv > paraco1605129243lle_tv) > set_Pa1764573435lle_tv > $o). 0.37/0.86 thf(decl_78, type, top_to1057771083lle_tv: set_Pa1764573435lle_tv). 0.37/0.86 thf(decl_83, type, paraco1147068288nge_tv: (nat > nat) > paraco1605129243lle_tv > paraco1605129243lle_tv). 0.37/0.86 thf(decl_141, type, f: nat > nat). 0.37/0.86 thf(decl_142, type, esk1_1: (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv). 0.37/0.86 thf(decl_143, type, esk2_1: (paraco1605129243lle_tv > paraco1605129243lle_tv) > paraco1605129243lle_tv). 0.37/0.86 thf(fact_25_injI, axiom, ![X245:paraco1605129243lle_tv > paraco1605129243lle_tv]:(((inj_on772319074lle_tv @ X245 @ top_to1057771083lle_tv)<=![X12:paraco1605129243lle_tv, X246:paraco1605129243lle_tv]:((((X245 @ X12)=(X245 @ X246))=>((X12)=(X246)))))), file('/export/starexec/sandbox2/tmp/tmp.3BGcT2w7b6/E---3.1_720502.p', fact_25_injI)). 0.37/0.86 thf(conj_0, conjecture, (inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv), file('/export/starexec/sandbox2/tmp/tmp.3BGcT2w7b6/E---3.1_720502.p', conj_0)). 0.37/0.86 thf(fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062, axiom, ![X553:paraco1605129243lle_tv, X554:paraco1605129243lle_tv]:((((paraco1147068288nge_tv @ f @ X553)=(paraco1147068288nge_tv @ f @ X554))=>((X553)=(X554)))), file('/export/starexec/sandbox2/tmp/tmp.3BGcT2w7b6/E---3.1_720502.p', fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062)). 0.37/0.86 thf(c_0_3, plain, ![X245:paraco1605129243lle_tv > paraco1605129243lle_tv]:((![X12:paraco1605129243lle_tv, X246:paraco1605129243lle_tv]:((((X245 @ X12)=(X245 @ X246))=>((X12)=(X246))))=>(inj_on772319074lle_tv @ X245 @ top_to1057771083lle_tv))), inference(fof_simplification,[status(thm)],[fact_25_injI])). 0.37/0.86 thf(c_0_4, negated_conjecture, ~((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)), inference(assume_negation,[status(cth)],[conj_0])). 0.37/0.86 thf(c_0_5, plain, ![X1308:paraco1605129243lle_tv, X1309:paraco1605129243lle_tv]:((((paraco1147068288nge_tv @ f @ X1308)!=(paraco1147068288nge_tv @ f @ X1309))|((X1308)=(X1309)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_092_060And_062tv2_Atv1_O_Achange__tv_Af_Atv1_A_061_Achange__tv_Af_Atv2_A_092_060Longrightarrow_062_Atv1_A_061_Atv2_092_060close_062])])). 0.37/0.86 thf(c_0_6, plain, ![X1245:paraco1605129243lle_tv > paraco1605129243lle_tv]:(((((X1245 @ (esk1_1 @ X1245))=(X1245 @ (esk2_1 @ X1245)))|(inj_on772319074lle_tv @ X1245 @ top_to1057771083lle_tv))&(((esk1_1 @ X1245)!=(esk2_1 @ X1245))|(inj_on772319074lle_tv @ X1245 @ top_to1057771083lle_tv)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])). 0.37/0.86 thf(c_0_7, negated_conjecture, ~(inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv), inference(fof_simplification,[status(thm)],[c_0_4])). 0.37/0.86 thf(c_0_8, plain, ![X12:paraco1605129243lle_tv, X76:paraco1605129243lle_tv]:((((X12)=(X76))|((paraco1147068288nge_tv @ f @ X12)!=(paraco1147068288nge_tv @ f @ X76)))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.37/0.86 thf(c_0_9, plain, ![X10:paraco1605129243lle_tv > paraco1605129243lle_tv]:((((X10 @ (esk1_1 @ X10))=(X10 @ (esk2_1 @ X10)))|(inj_on772319074lle_tv @ X10 @ top_to1057771083lle_tv))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.37/0.86 thf(c_0_10, negated_conjecture, ~((inj_on772319074lle_tv @ (paraco1147068288nge_tv @ f) @ top_to1057771083lle_tv)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.37/0.86 thf(c_0_11, plain, ![X12:paraco1605129243lle_tv]:((((X12)=(esk1_1 @ (paraco1147068288nge_tv @ f)))|((paraco1147068288nge_tv @ f @ X12)!=(paraco1147068288nge_tv @ f @ (esk2_1 @ (paraco1147068288nge_tv @ f)))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])). 0.37/0.86 thf(c_0_12, plain, ![X10:paraco1605129243lle_tv > paraco1605129243lle_tv]:(((inj_on772319074lle_tv @ X10 @ top_to1057771083lle_tv)|((esk1_1 @ X10)!=(esk2_1 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.37/0.86 thf(c_0_13, plain, ((esk1_1 @ (paraco1147068288nge_tv @ f))=(esk2_1 @ (paraco1147068288nge_tv @ f))), inference(er,[status(thm)],[c_0_11])). 0.37/0.86 thf(c_0_14, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_10]), ['proof']). 0.37/0.86 % SZS output end CNFRefutation 0.37/0.86 % Parsed axioms : 489 0.37/0.86 % Removed by relevancy pruning/SinE : 383 0.37/0.86 % Initial clauses : 192 0.37/0.86 % Removed in clause preprocessing : 9 0.37/0.86 % Initial clauses in saturation : 183 0.37/0.86 % Processed clauses : 705 0.37/0.86 % ...of these trivial : 9 0.37/0.86 % ...subsumed : 317 0.37/0.86 % ...remaining for further processing : 379 0.37/0.86 % Other redundant clauses eliminated : 71 0.37/0.86 % Clauses deleted for lack of memory : 0 0.37/0.86 % Backward-subsumed : 18 0.37/0.86 % Backward-rewritten : 8 0.37/0.86 % Generated clauses : 3742 0.37/0.86 % ...of the previous two non-redundant : 3007 0.37/0.86 % ...aggressively subsumed : 0 0.37/0.86 % Contextual simplify-reflections : 1 0.37/0.86 % Paramodulations : 3632 0.37/0.86 % Factorizations : 8 0.37/0.86 % NegExts : 0 0.37/0.86 % Equation resolutions : 84 0.37/0.86 % Disequality decompositions : 0 0.37/0.86 % Total rewrite steps : 1012 0.37/0.86 % ...of those cached : 836 0.37/0.86 % Propositional unsat checks : 0 0.37/0.86 % Propositional check models : 0 0.37/0.86 % Propositional check unsatisfiable : 0 0.37/0.86 % Propositional clauses : 0 0.37/0.86 % Propositional clauses after purity: 0 0.37/0.86 % Propositional unsat core size : 0 0.37/0.86 % Propositional preprocessing time : 0.000 0.37/0.86 % Propositional encoding time : 0.000 0.37/0.86 % Propositional solver time : 0.000 0.37/0.86 % Success case prop preproc time : 0.000 0.37/0.86 % Success case prop encoding time : 0.000 0.37/0.86 % Success case prop solver time : 0.000 0.37/0.86 % Current number of processed clauses : 325 0.37/0.86 % Positive orientable unit clauses : 21 0.37/0.86 % Positive unorientable unit clauses: 0 0.37/0.86 % Negative unit clauses : 3 0.37/0.86 % Non-unit-clauses : 301 0.37/0.86 % Current number of unprocessed clauses: 2443 0.37/0.86 % ...number of literals in the above : 8622 0.37/0.86 % Current number of archived formulas : 0 0.37/0.86 % Current number of archived clauses : 30 0.37/0.86 % Clause-clause subsumption calls (NU) : 13189 0.37/0.86 % Rec. Clause-clause subsumption calls : 10751 0.37/0.86 % Non-unit clause-clause subsumptions : 319 0.37/0.86 % Unit Clause-clause subsumption calls : 290 0.37/0.86 % Rewrite failures with RHS unbound : 0 0.37/0.86 % BW rewrite match attempts : 21 0.37/0.86 % BW rewrite match successes : 8 0.37/0.86 % Condensation attempts : 0 0.37/0.86 % Condensation successes : 0 0.37/0.86 % Termbank termtop insertions : 72906 0.37/0.86 % Search garbage collected termcells : 7688 0.37/0.86 0.37/0.86 % ------------------------------------------------- 0.37/0.86 % User time : 0.174 s 0.37/0.86 % System time : 0.019 s 0.37/0.86 % Total time : 0.193 s 0.37/0.86 % Maximum resident set size: 5596 pages 0.37/0.86 0.37/0.86 % ------------------------------------------------- 0.37/0.86 % User time : 0.205 s 0.37/0.86 % System time : 0.026 s 0.37/0.86 % Total time : 0.231 s 0.37/0.86 % Maximum resident set size: 5888 pages 0.37/0.86 % E exiting 0.37/0.87 EOF