0.09/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.12 % Command : run_E %s %d THM 0.10/0.32 % Computer : n027.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 1440 0.10/0.32 % WCLimit : 180 0.10/0.32 % DateTime : Thu Jul 4 08:57:38 EDT 2024 0.10/0.32 % CPUTime : 0.16/0.44 Running higher-order theorem proving 0.16/0.47 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.8ktbcGVjJD/E---3.1_7860.p 0.16/0.55 # Version: 3.2.0-ho 0.16/0.55 # Preprocessing class: HSMMSLSSLLLNHFA. 0.16/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.55 # Starting new_ho_10_cnf2 with 900s (5) cores 0.16/0.55 # Starting post_as_ho1 with 180s (1) cores 0.16/0.55 # Starting post_as_ho5 with 180s (1) cores 0.16/0.55 # Starting post_as_ho10 with 180s (1) cores 0.16/0.55 # new_ho_10_cnf2 with pid 7939 completed with status 0 0.16/0.55 # Result found by new_ho_10_cnf2 0.16/0.55 # Preprocessing class: HSMMSLSSLLLNHFA. 0.16/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.55 # Starting new_ho_10_cnf2 with 900s (5) cores 0.16/0.55 # No SInE strategy applied 0.16/0.55 # Search class: HHUPM-FFSF32-SHFMMFNN 0.16/0.55 # partial match(1): HHUPS-FFSF32-SHFMMFNN 0.16/0.55 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.16/0.55 # Starting new_ho_10 with 487s (1) cores 0.16/0.55 # Starting new_ho_10_cnf2 with 91s (1) cores 0.16/0.55 # Starting ehoh_best_sine_rwall with 82s (1) cores 0.16/0.55 # Starting lpo1_def_fix with 82s (1) cores 0.16/0.55 # Starting ehoh_best8_lambda with 82s (1) cores 0.16/0.55 # lpo1_def_fix with pid 7947 completed with status 0 0.16/0.55 # Result found by lpo1_def_fix 0.16/0.55 # Preprocessing class: HSMMSLSSLLLNHFA. 0.16/0.55 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.55 # Starting new_ho_10_cnf2 with 900s (5) cores 0.16/0.55 # No SInE strategy applied 0.16/0.55 # Search class: HHUPM-FFSF32-SHFMMFNN 0.16/0.55 # partial match(1): HHUPS-FFSF32-SHFMMFNN 0.16/0.55 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.16/0.55 # Starting new_ho_10 with 487s (1) cores 0.16/0.55 # Starting new_ho_10_cnf2 with 91s (1) cores 0.16/0.55 # Starting ehoh_best_sine_rwall with 82s (1) cores 0.16/0.55 # Starting lpo1_def_fix with 82s (1) cores 0.16/0.55 # Preprocessing time : 0.002 s 0.16/0.55 # Presaturation interreduction done 0.16/0.55 0.16/0.55 # Proof found! 0.16/0.55 # SZS status Theorem 0.16/0.55 # SZS output start CNFRefutation 0.16/0.55 thf(decl_sort1, type, term: $tType). 0.16/0.55 thf(decl_sort2, type, subst: $tType). 0.16/0.55 thf(decl_22, type, one: term). 0.16/0.55 thf(decl_24, type, lam: term > term). 0.16/0.55 thf(decl_25, type, sub: term > subst > term). 0.16/0.55 thf(decl_26, type, id: subst). 0.16/0.55 thf(decl_27, type, sh: subst). 0.16/0.55 thf(decl_28, type, push: term > subst > subst). 0.16/0.55 thf(decl_29, type, comp: subst > subst > subst). 0.16/0.55 thf(decl_53, type, hoaslaminj: $o). 0.16/0.55 thf(decl_91, type, hoaslaminj_lthm: $o). 0.16/0.55 thf(decl_92, type, axvarcons: $o). 0.16/0.55 thf(decl_93, type, hoaslam: subst > (subst > term > term) > term). 0.16/0.55 thf(decl_98, type, laminj: $o). 0.16/0.55 thf(decl_136, type, axshiftcons: $o). 0.16/0.55 thf(decl_144, type, esk1_0: subst > term > term). 0.16/0.55 thf(decl_145, type, esk2_0: subst > term > term). 0.16/0.55 thf(decl_146, type, esk3_0: subst). 0.16/0.55 thf(decl_147, type, esk4_0: term). 0.16/0.55 thf(hoaslaminj, axiom, ((hoaslaminj)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>![X13:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X13 @ X3 @ X1) @ X4)=(X13 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(((hoaslam @ id @ (^[X3:subst, X1:term]:(X12 @ X3 @ X1)))=(hoaslam @ id @ (^[X3:subst, X1:term]:(X13 @ X3 @ X1))))=>![X3:subst, X1:term]:(((X12 @ X3 @ X1)=(X13 @ X3 @ X1))))))))), file('/export/starexec/sandbox/tmp/tmp.8ktbcGVjJD/E---3.1_7860.p', hoaslaminj)). 0.16/0.55 thf(hoaslaminj_lthm, axiom, ((hoaslaminj_lthm)<=>((axvarcons)=>((axshiftcons)=>((laminj)=>(hoaslaminj))))), file('/export/starexec/sandbox/tmp/tmp.8ktbcGVjJD/E---3.1_7860.p', hoaslaminj_lthm)). 0.16/0.55 thf(axvarcons, axiom, ((axvarcons)<=>![X1:term, X3:subst]:(((sub @ one @ (push @ X1 @ X3))=(X1)))), file('/export/starexec/sandbox/tmp/tmp.8ktbcGVjJD/E---3.1_7860.p', axvarcons)). 0.16/0.55 thf(axshiftcons, axiom, ((axshiftcons)<=>![X1:term, X3:subst]:(((comp @ sh @ (push @ X1 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.8ktbcGVjJD/E---3.1_7860.p', axshiftcons)). 0.16/0.55 thf(laminj, axiom, ((laminj)<=>![X1:term, X2:term]:((((lam @ X1)=(lam @ X2))=>((X1)=(X2))))), file('/export/starexec/sandbox/tmp/tmp.8ktbcGVjJD/E---3.1_7860.p', laminj)). 0.16/0.55 thf(thm, conjecture, (hoaslaminj_lthm), file('/export/starexec/sandbox/tmp/tmp.8ktbcGVjJD/E---3.1_7860.p', thm)). 0.16/0.55 thf(hoaslam, axiom, ((hoaslam)=(^[X3:subst, X12:subst > term > term]:(lam @ (X12 @ sh @ one)))), file('/export/starexec/sandbox/tmp/tmp.8ktbcGVjJD/E---3.1_7860.p', hoaslam)). 0.16/0.55 thf(c_0_7, plain, ((hoaslaminj)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>![X13:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X13 @ X3 @ X1) @ X4)=(X13 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(((hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X12 @ Z0 @ Z1)))=(hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X13 @ Z0 @ Z1))))=>![X3:subst, X1:term]:(((X12 @ X3 @ X1)=(X13 @ X3 @ X1))))))))), inference(fof_simplification,[status(thm)],[hoaslaminj])). 0.16/0.55 thf(c_0_8, axiom, ((hoaslaminj_lthm)=(((![X1897:term, X1898:subst]:(((sub @ one @ (push @ X1897 @ X1898))=(X1897))))=>((![X1899:term, X1900:subst]:(((comp @ sh @ (push @ X1899 @ X1900))=(X1900))))=>((![X1901:term, X1902:term]:((((lam @ X1901)=(lam @ X1902))=>((X1901)=(X1902)))))=>(![X1903:subst > term > term]:((![X1904:subst, X1905:term, X1906:subst]:(((sub @ (X1903 @ X1904 @ X1905) @ X1906)=(X1903 @ (comp @ X1904 @ X1906) @ (sub @ X1905 @ X1906))))=>![X1907:subst > term > term]:((![X1908:subst, X1909:term, X1910:subst]:(((sub @ (X1907 @ X1908 @ X1909) @ X1910)=(X1907 @ (comp @ X1908 @ X1910) @ (sub @ X1909 @ X1910))))=>(((hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X1903 @ Z0 @ Z1)))=(hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X1907 @ Z0 @ Z1))))=>![X1911:subst, X1912:term]:(((X1903 @ X1911 @ X1912)=(X1907 @ X1911 @ X1912)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[hoaslaminj_lthm, axvarcons]), axshiftcons]), laminj]), c_0_7])). 0.16/0.55 thf(c_0_9, negated_conjecture, ~((![X3373:term, X3374:subst]:(((sub @ one @ (push @ X3373 @ X3374))=(X3373)))=>(![X3375:term, X3376:subst]:(((comp @ sh @ (push @ X3375 @ X3376))=(X3376)))=>(![X3377:term, X3378:term]:((((lam @ X3377)=(lam @ X3378))=>((X3377)=(X3378))))=>![X3379:subst > term > term]:((![X3380:subst, X3381:term, X3382:subst]:(((sub @ (X3379 @ X3380 @ X3381) @ X3382)=(X3379 @ (comp @ X3380 @ X3382) @ (sub @ X3381 @ X3382))))=>![X3383:subst > term > term]:((![X3384:subst, X3385:term, X3386:subst]:(((sub @ (X3383 @ X3384 @ X3385) @ X3386)=(X3383 @ (comp @ X3384 @ X3386) @ (sub @ X3385 @ X3386))))=>(((hoaslam @ id @ X3379)=(hoaslam @ id @ X3383))=>![X3387:subst, X3388:term]:(((X3379 @ X3387 @ X3388)=(X3383 @ X3387 @ X3388)))))))))))), inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_8])])). 0.16/0.55 thf(c_0_10, plain, ![X3393:subst, X3394:subst > term > term]:(((hoaslam @ X3393 @ X3394)=(lam @ (X3394 @ sh @ one)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[hoaslam])])). 0.16/0.55 thf(c_0_11, negated_conjecture, ![X3401:term, X3402:subst, X3403:term, X3404:subst, X3405:term, X3406:term, X3408:subst, X3409:term, X3410:subst, X3412:subst, X3413:term, X3414:subst]:((((sub @ one @ (push @ X3401 @ X3402))=(X3401))&(((comp @ sh @ (push @ X3403 @ X3404))=(X3404))&((((lam @ X3405)!=(lam @ X3406))|((X3405)=(X3406)))&(((sub @ (esk1_0 @ X3408 @ X3409) @ X3410)=(esk1_0 @ (comp @ X3408 @ X3410) @ (sub @ X3409 @ X3410)))&(((sub @ (esk2_0 @ X3412 @ X3413) @ X3414)=(esk2_0 @ (comp @ X3412 @ X3414) @ (sub @ X3413 @ X3414)))&(((hoaslam @ id @ esk1_0)=(hoaslam @ id @ esk2_0))&((esk1_0 @ esk3_0 @ esk4_0)!=(esk2_0 @ esk3_0 @ esk4_0))))))))), 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_9])])])])])). 0.16/0.55 thf(c_0_12, plain, ![X3399:subst, X3400:subst > term > term]:(((hoaslam @ X3399 @ X3400)=(lam @ (X3400 @ sh @ one)))), inference(variable_rename,[status(thm)],[c_0_10])). 0.16/0.55 thf(c_0_13, negated_conjecture, ((hoaslam @ id @ esk1_0)=(hoaslam @ id @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.55 thf(c_0_14, plain, ![X3:subst, X12:subst > term > term]:(((hoaslam @ X3 @ X12)=(lam @ (X12 @ sh @ one)))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.16/0.55 thf(c_0_15, negated_conjecture, ![X1:term, X2:term]:((((X1)=(X2))|((lam @ X1)!=(lam @ X2)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.55 thf(c_0_16, negated_conjecture, ((lam @ (esk1_0 @ sh @ one))=(lam @ (esk2_0 @ sh @ one))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_14])). 0.16/0.55 thf(c_0_17, negated_conjecture, ![X1:term, X3:subst, X4:subst]:(((sub @ (esk1_0 @ X3 @ X1) @ X4)=(esk1_0 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.55 thf(c_0_18, negated_conjecture, ![X3:subst, X1:term]:(((sub @ one @ (push @ X1 @ X3))=(X1))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.55 thf(c_0_19, negated_conjecture, ![X1:term]:((((X1)=(esk1_0 @ sh @ one))|((lam @ X1)!=(lam @ (esk2_0 @ sh @ one))))), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.16/0.55 thf(c_0_20, negated_conjecture, ![X1:term, X3:subst, X4:subst]:(((sub @ (esk2_0 @ X3 @ X1) @ X4)=(esk2_0 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.55 thf(c_0_21, negated_conjecture, ![X1:term, X3:subst, X4:subst]:(((esk1_0 @ (comp @ X3 @ (push @ X1 @ X4)) @ X1)=(sub @ (esk1_0 @ X3 @ one) @ (push @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 0.16/0.55 thf(c_0_22, negated_conjecture, ![X1:term, X3:subst]:(((comp @ sh @ (push @ X1 @ X3))=(X3))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.55 thf(c_0_23, negated_conjecture, ((esk1_0 @ sh @ one)=(esk2_0 @ sh @ one)), inference(er,[status(thm)],[c_0_19])). 0.16/0.55 thf(c_0_24, negated_conjecture, ![X1:term, X3:subst, X4:subst]:(((esk2_0 @ (comp @ X3 @ (push @ X1 @ X4)) @ X1)=(sub @ (esk2_0 @ X3 @ one) @ (push @ X1 @ X4)))), inference(spm,[status(thm)],[c_0_20, c_0_18])). 0.16/0.55 thf(c_0_25, negated_conjecture, ![X3:subst, X1:term]:(((sub @ (esk2_0 @ sh @ one) @ (push @ X1 @ X3))=(esk1_0 @ X3 @ X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23])). 0.16/0.55 thf(c_0_26, negated_conjecture, ((esk1_0 @ esk3_0 @ esk4_0)!=(esk2_0 @ esk3_0 @ esk4_0)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.55 thf(c_0_27, negated_conjecture, ![X3:subst, X1:term]:(((esk1_0 @ X3 @ X1)=(esk2_0 @ X3 @ X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_22]), c_0_25])). 0.16/0.55 thf(c_0_28, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])]), ['proof']). 0.16/0.55 # SZS output end CNFRefutation 0.16/0.55 # Parsed axioms : 238 0.16/0.55 # Removed by relevancy pruning/SinE : 0 0.16/0.55 # Initial clauses : 133 0.16/0.55 # Removed in clause preprocessing : 124 0.16/0.55 # Initial clauses in saturation : 9 0.16/0.55 # Processed clauses : 84 0.16/0.55 # ...of these trivial : 0 0.16/0.55 # ...subsumed : 48 0.16/0.55 # ...remaining for further processing : 36 0.16/0.55 # Other redundant clauses eliminated : 0 0.16/0.55 # Clauses deleted for lack of memory : 0 0.16/0.55 # Backward-subsumed : 0 0.16/0.55 # Backward-rewritten : 9 0.16/0.55 # Generated clauses : 101 0.16/0.55 # ...of the previous two non-redundant : 92 0.16/0.55 # ...aggressively subsumed : 0 0.16/0.55 # Contextual simplify-reflections : 0 0.16/0.55 # Paramodulations : 91 0.16/0.55 # Factorizations : 0 0.16/0.55 # NegExts : 0 0.16/0.55 # Equation resolutions : 4 0.16/0.55 # Disequality decompositions : 0 0.16/0.55 # Total rewrite steps : 39 0.16/0.55 # ...of those cached : 20 0.16/0.55 # Propositional unsat checks : 0 0.16/0.55 # Propositional check models : 0 0.16/0.55 # Propositional check unsatisfiable : 0 0.16/0.55 # Propositional clauses : 0 0.16/0.55 # Propositional clauses after purity: 0 0.16/0.55 # Propositional unsat core size : 0 0.16/0.55 # Propositional preprocessing time : 0.000 0.16/0.55 # Propositional encoding time : 0.000 0.16/0.55 # Propositional solver time : 0.000 0.16/0.55 # Success case prop preproc time : 0.000 0.16/0.55 # Success case prop encoding time : 0.000 0.16/0.55 # Success case prop solver time : 0.000 0.16/0.55 # Current number of processed clauses : 18 0.16/0.55 # Positive orientable unit clauses : 8 0.16/0.55 # Positive unorientable unit clauses: 5 0.16/0.55 # Negative unit clauses : 0 0.16/0.55 # Non-unit-clauses : 5 0.16/0.55 # Current number of unprocessed clauses: 23 0.16/0.55 # ...number of literals in the above : 37 0.16/0.55 # Current number of archived formulas : 0 0.16/0.55 # Current number of archived clauses : 18 0.16/0.55 # Clause-clause subsumption calls (NU) : 35 0.16/0.55 # Rec. Clause-clause subsumption calls : 35 0.16/0.55 # Non-unit clause-clause subsumptions : 25 0.16/0.55 # Unit Clause-clause subsumption calls : 9 0.16/0.55 # Rewrite failures with RHS unbound : 101 0.16/0.55 # BW rewrite match attempts : 26 0.16/0.55 # BW rewrite match successes : 20 0.16/0.55 # Condensation attempts : 0 0.16/0.55 # Condensation successes : 0 0.16/0.55 # Termbank termtop insertions : 27883 0.16/0.55 # Search garbage collected termcells : 1830 0.16/0.55 0.16/0.55 # ------------------------------------------------- 0.16/0.55 # User time : 0.022 s 0.16/0.55 # System time : 0.013 s 0.16/0.55 # Total time : 0.035 s 0.16/0.55 # Maximum resident set size: 5908 pages 0.16/0.55 0.16/0.55 # ------------------------------------------------- 0.16/0.55 # User time : 0.044 s 0.16/0.55 # System time : 0.034 s 0.16/0.55 # Total time : 0.078 s 0.16/0.55 # Maximum resident set size: 2068 pages 0.16/0.55 % E---3.1 exiting 0.16/0.55 % E exiting 0.16/0.55 EOF