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 0.08/0.35 % Computer : n031.cluster.edu 0.08/0.35 % Model : x86_64 x86_64 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.35 % Memory : 8046.5625MB 0.08/0.35 % OS : Linux 6.8.0-71-generic 0.08/0.35 % CPULimit : 1440 0.08/0.35 % WCLimit : 180 0.08/0.35 % DateTime : Mon Jul 27 12:23:40 UTC 2026 0.08/0.36 % CPUTime : 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.13/0.40 Running higher-order theorem proving 0.13/0.41 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.kShXhW0UxA/E---3.1_4187175.p 0.13/0.45 % Version: 3.5.1-ho 0.13/0.45 % Preprocessing class: HSMSSMSSSSSNSSA. 0.13/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.45 % Starting post_as_ho1 with 900s (5) cores 0.13/0.45 % Starting post_as_ho12 with 180s (1) cores 0.13/0.45 % Starting new_ho_3 with 180s (1) cores 0.13/0.45 % Starting ehoh_best2_full_lfho with 180s (1) cores 0.13/0.45 % post_as_ho1 with pid 4187188 completed with status 0 0.13/0.45 % Result found by post_as_ho1 0.13/0.45 % Preprocessing class: HSMSSMSSSSSNSSA. 0.13/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.45 % Starting post_as_ho1 with 900s (5) cores 0.13/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.13/0.45 % No SInE strategy applied 0.13/0.45 % Search class: HGUSF-FFSF21-SSSFFSBN 0.13/0.45 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.13/0.45 % Starting SubtermCWHack with 82s (1) cores 0.13/0.45 % Starting post_as_ho1 with 91s (1) cores 0.13/0.45 % Starting lpo8_s with 82s (1) cores 0.13/0.45 % Starting post_as_ho10 with 82s (1) cores 0.13/0.45 % Starting ehoh_best_nonlift_nonlambdatoforall with 82s (1) cores 0.13/0.45 % SubtermCWHack with pid 4187192 completed with status 10 0.13/0.45 % Starting ho_unfolding_6 with 82s (1) cores 0.13/0.45 % post_as_ho1 with pid 4187193 completed with status 10 0.13/0.45 % Starting post_as_ho12 with 399s (1) cores 0.13/0.45 % post_as_ho10 with pid 4187195 completed with status 0 0.13/0.45 % Result found by post_as_ho10 0.13/0.45 % Preprocessing class: HSMSSMSSSSSNSSA. 0.13/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.45 % Starting post_as_ho1 with 900s (5) cores 0.13/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.13/0.45 % No SInE strategy applied 0.13/0.45 % Search class: HGUSF-FFSF21-SSSFFSBN 0.13/0.45 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.13/0.45 % Starting SubtermCWHack with 82s (1) cores 0.13/0.45 % Starting post_as_ho1 with 91s (1) cores 0.13/0.45 % Starting lpo8_s with 82s (1) cores 0.13/0.45 % Starting post_as_ho10 with 82s (1) cores 0.13/0.45 % Preprocessing time : 0.001 s 0.13/0.45 % Presaturation interreduction done 0.13/0.45 0.13/0.45 % Proof found! 0.13/0.45 % SZS status Theorem 0.13/0.45 % SZS output start CNFRefutation 0.13/0.45 thf(decl_sort1, type, iS: $tType). 0.13/0.45 thf(decl_23, type, x: iS). 0.13/0.45 thf(decl_24, type, cP: iS > iS > iS). 0.13/0.45 thf(decl_25, type, c0: iS). 0.13/0.45 thf(decl_26, type, esk1_1: (iS > $o) > iS). 0.13/0.45 thf(decl_27, type, esk2_1: (iS > $o) > iS). 0.13/0.45 thf(decl_28, type, epred1_0: iS > iS > iS > $o). 0.13/0.45 thf(cS_INCL_LEM3_pme, conjecture, (![X1:iS > iS > iS > $o]:(((X1 @ x @ x @ x)<=(($true)&![X2:iS, X3:iS, X4:iS]:(((X1 @ X2 @ X3 @ X4)<=(?[X5:iS, X6:iS, X7:iS, X8:iS, X9:iS, X10:iS]:(((((((X2)=(cP @ X5 @ X6))&((X3)=(cP @ X7 @ X8)))&((X4)=(cP @ X9 @ X10)))&(X1 @ X5 @ X7 @ X9))&(X1 @ X6 @ X8 @ X10)))|(((X3)=(c0))&((X2)=(X4)))|(((X3)=(X4))&((X2)=(c0)))))))))<=((![X11:iS, X12:iS]:(((cP @ X11 @ X12)!=(c0)))&![X13:iS > $o]:((((X13 @ c0)&![X11:iS, X12:iS]:(((X13 @ (cP @ X11 @ X12))<=((X13 @ X11)&(X13 @ X12)))))=>![X11:iS]:((X13 @ X11)))))&![X11:iS, X12:iS, X14:iS, X15:iS]:((((cP @ X11 @ X14)=(cP @ X12 @ X15))=>(((X14)=(X15))&((X11)=(X12))))))), file('/export/starexec/sandbox/tmp/tmp.kShXhW0UxA/E---3.1_4187175.p', cS_INCL_LEM3_pme)). 0.13/0.45 thf(c_0_1, negated_conjecture, ~((![X1:iS > iS > iS > $o]:(((X1 @ x @ x @ x)<=(($true)&![X2:iS, X3:iS, X4:iS]:(((X1 @ X2 @ X3 @ X4)<=(?[X5:iS, X6:iS, X7:iS, X8:iS, X9:iS, X10:iS]:(((((((X2)=(cP @ X5 @ X6))&((X3)=(cP @ X7 @ X8)))&((X4)=(cP @ X9 @ X10)))&(X1 @ X5 @ X7 @ X9))&(X1 @ X6 @ X8 @ X10)))|(((X3)=(c0))&((X2)=(X4)))|(((X3)=(X4))&((X2)=(c0)))))))))<=((![X11:iS, X12:iS]:(((cP @ X11 @ X12)!=(c0)))&![X13:iS > $o]:((((X13 @ c0)&![X11:iS, X12:iS]:(((X13 @ (cP @ X11 @ X12))<=((X13 @ X11)&(X13 @ X12)))))=>![X11:iS]:((X13 @ X11)))))&![X11:iS, X12:iS, X14:iS, X15:iS]:((((cP @ X11 @ X14)=(cP @ X12 @ X15))=>(((X14)=(X15))&((X11)=(X12)))))))), inference(assume_negation,[status(cth)],[cS_INCL_LEM3_pme])). 0.13/0.45 thf(c_0_2, negated_conjecture, ~((((![X11:iS, X12:iS]:(((cP @ X11 @ X12)!=(c0)))&![X13:iS > $o]:((((X13 @ c0)&![X11:iS, X12:iS]:((((X13 @ X11)&(X13 @ X12))=>(X13 @ (cP @ X11 @ X12)))))=>![X11:iS]:((X13 @ X11)))))&![X11:iS, X12:iS, X14:iS, X15:iS]:((((cP @ X11 @ X14)=(cP @ X12 @ X15))=>(((X14)=(X15))&((X11)=(X12))))))=>![X1:iS > iS > iS > $o]:((($true&![X2:iS, X3:iS, X4:iS]:(((?[X5:iS, X6:iS, X7:iS, X8:iS, X9:iS, X10:iS]:(((((((X2)=(cP @ X5 @ X6))&((X3)=(cP @ X7 @ X8)))&((X4)=(cP @ X9 @ X10)))&(X1 @ X5 @ X7 @ X9))&(X1 @ X6 @ X8 @ X10)))|(((X3)=(c0))&((X2)=(X4)))|(((X3)=(X4))&((X2)=(c0))))=>(X1 @ X2 @ X3 @ X4))))=>(X1 @ x @ x @ x))))), inference(fof_simplification,[status(thm)],[c_0_1])). 0.13/0.45 thf(c_0_3, negated_conjecture, ![X36:iS, X37:iS, X38:iS > $o, X41:iS, X42:iS, X43:iS, X44:iS, X45:iS, X47:iS, X48:iS, X49:iS, X50:iS, X51:iS, X52:iS, X53:iS, X54:iS, X55:iS]:((((((cP @ X36 @ X37)!=(c0))&((((X38 @ (esk1_1 @ X38))|~(X38 @ c0)|(X38 @ X41))&((X38 @ (esk2_1 @ X38))|~(X38 @ c0)|(X38 @ X41)))&(~(X38 @ (cP @ (esk1_1 @ X38) @ (esk2_1 @ X38)))|~(X38 @ c0)|(X38 @ X41))))&((((X44)=(X45))|((cP @ X42 @ X44)!=(cP @ X43 @ X45)))&(((X42)=(X43))|((cP @ X42 @ X44)!=(cP @ X43 @ X45)))))&((($true)&(((((X47)!=(cP @ X50 @ X51))|((X48)!=(cP @ X52 @ X53))|((X49)!=(cP @ X54 @ X55))|~(epred1_0 @ X50 @ X52 @ X54)|~(epred1_0 @ X51 @ X53 @ X55)|(epred1_0 @ X47 @ X48 @ X49))&(((X48)!=(c0))|((X47)!=(X49))|(epred1_0 @ X47 @ X48 @ X49)))&(((X48)!=(X49))|((X47)!=(c0))|(epred1_0 @ X47 @ X48 @ X49))))&~(epred1_0 @ x @ x @ x)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])). 0.13/0.45 thf(c_0_4, negated_conjecture, ![X2:iS, X3:iS, X4:iS]:(((epred1_0 @ X4 @ X2 @ X3)|((X2)!=(X3))|((X4)!=(c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.45 thf(c_0_5, negated_conjecture, ![X2:iS, X3:iS, X5:iS, X6:iS, X4:iS, X8:iS, X7:iS, X9:iS, X10:iS]:(((epred1_0 @ X2 @ X5 @ X8)|((X2)!=(cP @ X3 @ X4))|((X5)!=(cP @ X6 @ X7))|((X8)!=(cP @ X9 @ X10))|~((epred1_0 @ X3 @ X6 @ X9))|~((epred1_0 @ X4 @ X7 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.45 thf(c_0_6, negated_conjecture, ![X2:iS, X3:iS, X4:iS]:(((epred1_0 @ X3 @ X2 @ X4)|((X2)!=(c0))|((X3)!=(X4)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.45 thf(c_0_7, negated_conjecture, ![X2:iS, X13:iS > $o]:(((X13 @ (esk1_1 @ X13))|(X13 @ X2)|~((X13 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.45 thf(c_0_8, negated_conjecture, ![X2:iS]:((epred1_0 @ c0 @ X2 @ X2)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])])). 0.13/0.45 thf(c_0_9, negated_conjecture, ![X2:iS, X13:iS > $o]:(((X13 @ X2)|~((X13 @ (cP @ (esk1_1 @ X13) @ (esk2_1 @ X13))))|~((X13 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.45 thf(c_0_10, negated_conjecture, ![X3:iS, X2:iS, X5:iS, X4:iS, X7:iS, X6:iS]:(((epred1_0 @ (cP @ X2 @ X3) @ (cP @ X4 @ X5) @ (cP @ X6 @ X7))|~((epred1_0 @ X3 @ X5 @ X7))|~((epred1_0 @ X2 @ X4 @ X6)))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5])])])). 0.13/0.45 thf(c_0_11, negated_conjecture, ![X2:iS]:((epred1_0 @ X2 @ c0 @ X2)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_6])])). 0.13/0.45 thf(c_0_12, negated_conjecture, ![X2:iS]:(((epred1_0 @ (esk1_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk1_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk1_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))))|(epred1_0 @ X2 @ X2 @ X2))), inference(spm,[status(thm)],[c_0_7, c_0_8])). 0.13/0.45 thf(c_0_13, negated_conjecture, ![X2:iS, X13:iS > $o]:(((X13 @ (esk2_1 @ X13))|(X13 @ X2)|~((X13 @ c0)))), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.45 thf(c_0_14, negated_conjecture, ![X2:iS]:(((epred1_0 @ X2 @ X2 @ X2)|~((epred1_0 @ (esk2_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk2_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))) @ (esk2_1 @ (^[Z0:iS]:((epred1_0 @ Z0 @ Z0 @ Z0)))))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])]), c_0_12])). 0.13/0.45 thf(c_0_15, negated_conjecture, ~((epred1_0 @ x @ x @ x)), inference(split_conjunct,[status(thm)],[c_0_3])). 0.13/0.45 thf(c_0_16, negated_conjecture, ![X2:iS]:((epred1_0 @ X2 @ X2 @ X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_8]), c_0_14])). 0.13/0.45 thf(c_0_17, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])]), ['proof']). 0.13/0.45 % SZS output end CNFRefutation 0.13/0.45 % Parsed axioms : 5 0.13/0.45 % Removed by relevancy pruning/SinE : 0 0.13/0.45 % Initial clauses : 15 0.13/0.45 % Removed in clause preprocessing : 5 0.13/0.45 % Initial clauses in saturation : 10 0.13/0.45 % Processed clauses : 55 0.13/0.45 % ...of these trivial : 0 0.13/0.45 % ...subsumed : 4 0.13/0.45 % ...remaining for further processing : 51 0.13/0.45 % Other redundant clauses eliminated : 7 0.13/0.45 % Clauses deleted for lack of memory : 0 0.13/0.45 % Backward-subsumed : 9 0.13/0.45 % Backward-rewritten : 3 0.13/0.45 % Generated clauses : 240 0.13/0.45 % ...of the previous two non-redundant : 129 0.13/0.45 % ...aggressively subsumed : 0 0.13/0.45 % Contextual simplify-reflections : 2 0.13/0.45 % Paramodulations : 191 0.13/0.45 % Factorizations : 18 0.13/0.45 % NegExts : 0 0.13/0.45 % Equation resolutions : 15 0.13/0.45 % Disequality decompositions : 0 0.13/0.45 % Total rewrite steps : 96 0.13/0.45 % ...of those cached : 74 0.13/0.45 % Propositional unsat checks : 0 0.13/0.45 % Propositional check models : 0 0.13/0.45 % Propositional check unsatisfiable : 0 0.13/0.45 % Propositional clauses : 0 0.13/0.45 % Propositional clauses after purity: 0 0.13/0.45 % Propositional unsat core size : 0 0.13/0.45 % Propositional preprocessing time : 0.000 0.13/0.45 % Propositional encoding time : 0.000 0.13/0.45 % Propositional solver time : 0.000 0.13/0.45 % Success case prop preproc time : 0.000 0.13/0.45 % Success case prop encoding time : 0.000 0.13/0.45 % Success case prop solver time : 0.000 0.13/0.45 % Current number of processed clauses : 26 0.13/0.45 % Positive orientable unit clauses : 13 0.13/0.45 % Positive unorientable unit clauses: 0 0.13/0.45 % Negative unit clauses : 1 0.13/0.45 % Non-unit-clauses : 12 0.13/0.45 % Current number of unprocessed clauses: 55 0.13/0.45 % ...number of literals in the above : 168 0.13/0.45 % Current number of archived formulas : 0 0.13/0.45 % Current number of archived clauses : 22 0.13/0.45 % Clause-clause subsumption calls (NU) : 47 0.13/0.45 % Rec. Clause-clause subsumption calls : 35 0.13/0.45 % Non-unit clause-clause subsumptions : 6 0.13/0.45 % Unit Clause-clause subsumption calls : 25 0.13/0.45 % Rewrite failures with RHS unbound : 0 0.13/0.45 % BW rewrite match attempts : 35 0.13/0.45 % BW rewrite match successes : 13 0.13/0.45 % Condensation attempts : 0 0.13/0.45 % Condensation successes : 0 0.13/0.45 % Termbank termtop insertions : 19345 0.13/0.45 % Search garbage collected termcells : 598 0.13/0.45 0.13/0.45 % ------------------------------------------------- 0.13/0.45 % User time : 0.014 s 0.13/0.45 % System time : 0.007 s 0.13/0.45 % Total time : 0.021 s 0.13/0.45 % Maximum resident set size: 3644 pages 0.13/0.45 0.13/0.45 % ------------------------------------------------- 0.13/0.45 % User time : 0.064 s 0.13/0.45 % System time : 0.020 s 0.13/0.45 % Total time : 0.084 s 0.13/0.45 % Maximum resident set size: 4864 pages 0.13/0.45 % E exiting 0.13/0.45 EOF