0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.10 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.10/0.31 % Computer : n008.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1920 0.10/0.31 % WCLimit : 240 0.10/0.31 % DateTime : Wed Jul 30 03:42:04 EDT 2025 0.10/0.31 % CPUTime : 0.17/0.44 Running higher-order theorem proving 0.17/0.45 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=240 /export/starexec/sandbox/tmp/tmp.e9klryBAhj/E---3.1_31229.p 0.17/0.47 # Version: 3.0.0-ho 0.17/0.47 # Preprocessing class: HSLSSMSMSSSNSSA. 0.17/0.47 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.47 # Starting new_ho_10_unif with 1200s (5) cores 0.17/0.47 # Starting sh3l with 240s (1) cores 0.17/0.47 # Starting new_ho_6 with 240s (1) cores 0.17/0.47 # Starting lpo6_lambda_fix with 240s (1) cores 0.17/0.47 # sh3l with pid 31311 completed with status 0 0.17/0.47 # Result found by sh3l 0.17/0.47 # Preprocessing class: HSLSSMSMSSSNSSA. 0.17/0.47 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.47 # Starting new_ho_10_unif with 1200s (5) cores 0.17/0.47 # Starting sh3l with 240s (1) cores 0.17/0.47 # SinE strategy is gf120_gu_RUU_F100_L01000 0.17/0.47 # Search class: HGHNF-FFSM11-SSSFFSBN 0.17/0.47 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.17/0.47 # Starting new_ho_10 with 130s (1) cores 0.17/0.47 # new_ho_10 with pid 31314 completed with status 0 0.17/0.47 # Result found by new_ho_10 0.17/0.47 # Preprocessing class: HSLSSMSMSSSNSSA. 0.17/0.47 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.47 # Starting new_ho_10_unif with 1200s (5) cores 0.17/0.47 # Starting sh3l with 240s (1) cores 0.17/0.47 # SinE strategy is gf120_gu_RUU_F100_L01000 0.17/0.47 # Search class: HGHNF-FFSM11-SSSFFSBN 0.17/0.47 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.17/0.47 # Starting new_ho_10 with 130s (1) cores 0.17/0.47 # Preprocessing time : 0.003 s 0.17/0.47 # Presaturation interreduction done 0.17/0.47 0.17/0.47 # Proof found! 0.17/0.47 # SZS status Theorem 0.17/0.47 # SZS output start CNFRefutation 0.17/0.47 thf(decl_29, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o). 0.17/0.47 thf(decl_38, type, lBill_THFTYPE_i: $i). 0.17/0.47 thf(decl_43, type, lMary_THFTYPE_i: $i). 0.17/0.47 thf(decl_46, type, lSue_THFTYPE_i: $i). 0.17/0.47 thf(decl_53, type, lYearFn_THFTYPE_IiiI: $i > $i). 0.17/0.47 thf(decl_54, type, likes_THFTYPE_IiioI: $i > $i > $o). 0.17/0.47 thf(decl_58, type, n2009_THFTYPE_i: $i). 0.17/0.47 thf(decl_69, type, esk1_1: ($i > $i > $o) > $i). 0.17/0.47 thf(decl_70, type, esk2_1: ($i > $i > $o) > $i). 0.17/0.47 thf(con, conjecture, ?[X14:$i > $i > $o]:((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((((X14 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)&~(![X15:$i, X16:$i]:((X14 @ X15 @ X16))))&(X14 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))), file('/export/starexec/sandbox/tmp/tmp.e9klryBAhj/E---3.1_31229.p', con)). 0.17/0.47 thf(ax_006, axiom, (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))), file('/export/starexec/sandbox/tmp/tmp.e9klryBAhj/E---3.1_31229.p', ax_006)). 0.17/0.47 thf(ax_011, axiom, ![X23:$i, X1:$o]:(((holdsDuring_THFTYPE_IiooI @ X23 @ (~((X1))))=>~((holdsDuring_THFTYPE_IiooI @ X23 @ ((X1)))))), file('/export/starexec/sandbox/tmp/tmp.e9klryBAhj/E---3.1_31229.p', ax_011)). 0.17/0.47 thf(ax_003, axiom, (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))), file('/export/starexec/sandbox/tmp/tmp.e9klryBAhj/E---3.1_31229.p', ax_003)). 0.17/0.47 thf(ax_009, axiom, (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)))), file('/export/starexec/sandbox/tmp/tmp.e9klryBAhj/E---3.1_31229.p', ax_009)). 0.17/0.47 thf(c_0_5, negated_conjecture, ~(?[X14:$i > $i > $o]:(((~((((X14 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)&~(![X15:$i, X16:$i]:((X14 @ X15 @ X16))))&(X14 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&((((X14 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)&~(![X15:$i, X16:$i]:((X14 @ X15 @ X16))))&(X14 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))))), inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[con])])). 0.17/0.47 thf(c_0_6, axiom, ((~(likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))), inference(fool_unroll,[status(thm)],[ax_006])). 0.17/0.47 thf(c_0_7, negated_conjecture, ![X39:$i > $i > $o, X42:$i, X43:$i]:((((((~(X39 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(X39 @ X42 @ X43)|~(X39 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|(X39 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))&(~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)|(X39 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))&((~(X39 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(X39 @ X42 @ X43)|~(X39 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|~(X39 @ (esk1_1 @ X39) @ (esk2_1 @ X39)))&(~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)|~(X39 @ (esk1_1 @ X39) @ (esk2_1 @ X39)))))&((~(X39 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(X39 @ X42 @ X43)|~(X39 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|(X39 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))&(~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)|(X39 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))&((~(X39 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(X39 @ X42 @ X43)|~(X39 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&(~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)|~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))))), 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_5])])])])])])). 0.17/0.47 thf(c_0_8, plain, ((~(likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))), inference(fof_nnf,[status(thm)],[c_0_6])). 0.17/0.47 thf(c_0_9, plain, ![X23:$i, X1:$o]:(((((X1)|(holdsDuring_THFTYPE_IiooI @ X23 @ $true))&(~(X1)|(holdsDuring_THFTYPE_IiooI @ X23 @ $false)))=>~(holdsDuring_THFTYPE_IiooI @ X23 @ ((X1))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_011])])). 0.17/0.47 thf(c_0_10, axiom, ((~(likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))), inference(fool_unroll,[status(thm)],[ax_003])). 0.17/0.47 thf(c_0_11, negated_conjecture, ![X14:$i > $i > $o]:(((X14 @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|~((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~($true)))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.17/0.47 thf(c_0_12, plain, ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~($true)))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.17/0.47 thf(c_0_13, plain, ![X44:$i, X45:$o]:(((((X45)|~(X45)|~(holdsDuring_THFTYPE_IiooI @ X44 @ ((X45))))&(~(holdsDuring_THFTYPE_IiooI @ X44 @ $false)|~(X45)|~(holdsDuring_THFTYPE_IiooI @ X44 @ ((X45)))))&(((X45)|~(holdsDuring_THFTYPE_IiooI @ X44 @ $true)|~(holdsDuring_THFTYPE_IiooI @ X44 @ ((X45))))&(~(holdsDuring_THFTYPE_IiooI @ X44 @ $false)|~(holdsDuring_THFTYPE_IiooI @ X44 @ $true)|~(holdsDuring_THFTYPE_IiooI @ X44 @ ((X45))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])). 0.17/0.47 thf(c_0_14, plain, ((~(likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))), inference(fof_nnf,[status(thm)],[c_0_10])). 0.17/0.47 thf(c_0_15, plain, (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&(~(likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_009])])). 0.17/0.47 thf(c_0_16, plain, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($true)))|~((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.17/0.47 thf(c_0_17, negated_conjecture, (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i), inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12])])). 0.17/0.47 thf(c_0_18, plain, ![X2:$i]:((~((holdsDuring_THFTYPE_IiooI @ X2 @ (($true))))|~((holdsDuring_THFTYPE_IiooI @ X2 @ (~($true)))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_13])])])). 0.17/0.47 thf(c_0_19, plain, ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~($true)))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.17/0.47 thf(c_0_20, plain, (((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true))&(~(likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i)|(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false))), inference(fof_nnf,[status(thm)],[c_0_15])). 0.17/0.47 thf(c_0_21, negated_conjecture, ![X2:$i, X3:$i, X14:$i > $i > $o]:(((X14 @ X2 @ X3)|~((X14 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))|~((X14 @ lSue_THFTYPE_i @ lBill_THFTYPE_i))|~((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($true)))))), inference(split_conjunct,[status(thm)],[c_0_7])). 0.17/0.47 thf(c_0_22, plain, (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($true))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])). 0.17/0.47 thf(c_0_23, plain, ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)|~((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($true))))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.17/0.47 thf(c_0_24, plain, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~($true)))|~((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.17/0.47 thf(c_0_25, negated_conjecture, ![X2:$i, X3:$i, X14:$i > $i > $o]:(((X14 @ X2 @ X3)|~((X14 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))|~((X14 @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])). 0.17/0.47 thf(c_0_26, plain, (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_22])])). 0.17/0.47 thf(c_0_27, plain, (~((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (($true))))|~((likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i))), inference(spm,[status(thm)],[c_0_18, c_0_24])). 0.17/0.47 thf(c_0_28, negated_conjecture, ![X2:$i, X3:$i]:((likes_THFTYPE_IiioI @ X2 @ X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_17])])). 0.17/0.47 thf(c_0_29, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_22])]), c_0_28])]), ['proof']). 0.17/0.47 # SZS output end CNFRefutation 0.17/0.47 # Parsed axioms : 112 0.17/0.47 # Removed by relevancy pruning/SinE : 104 0.17/0.47 # Initial clauses : 24 0.17/0.47 # Removed in clause preprocessing : 3 0.17/0.47 # Initial clauses in saturation : 21 0.17/0.47 # Processed clauses : 47 0.17/0.47 # ...of these trivial : 0 0.17/0.47 # ...subsumed : 8 0.17/0.47 # ...remaining for further processing : 38 0.17/0.47 # Other redundant clauses eliminated : 0 0.17/0.47 # Clauses deleted for lack of memory : 0 0.17/0.47 # Backward-subsumed : 5 0.17/0.47 # Backward-rewritten : 14 0.17/0.47 # Generated clauses : 28 0.17/0.47 # ...of the previous two non-redundant : 32 0.17/0.47 # ...aggressively subsumed : 0 0.17/0.47 # Contextual simplify-reflections : 0 0.17/0.47 # Paramodulations : 28 0.17/0.47 # Factorizations : 0 0.17/0.47 # NegExts : 0 0.17/0.47 # Equation resolutions : 0 0.17/0.47 # Disequality decompositions : 0 0.17/0.47 # Total rewrite steps : 19 0.17/0.47 # ...of those cached : 12 0.17/0.47 # Propositional unsat checks : 0 0.17/0.47 # Propositional check models : 0 0.17/0.47 # Propositional check unsatisfiable : 0 0.17/0.47 # Propositional clauses : 0 0.17/0.47 # Propositional clauses after purity: 0 0.17/0.47 # Propositional unsat core size : 0 0.17/0.47 # Propositional preprocessing time : 0.000 0.17/0.47 # Propositional encoding time : 0.000 0.17/0.47 # Propositional solver time : 0.000 0.17/0.47 # Success case prop preproc time : 0.000 0.17/0.47 # Success case prop encoding time : 0.000 0.17/0.47 # Success case prop solver time : 0.000 0.17/0.47 # Current number of processed clauses : 7 0.17/0.47 # Positive orientable unit clauses : 2 0.17/0.47 # Positive unorientable unit clauses: 0 0.17/0.47 # Negative unit clauses : 0 0.17/0.47 # Non-unit-clauses : 5 0.17/0.47 # Current number of unprocessed clauses: 18 0.17/0.47 # ...number of literals in the above : 37 0.17/0.47 # Current number of archived formulas : 0 0.17/0.47 # Current number of archived clauses : 31 0.17/0.47 # Clause-clause subsumption calls (NU) : 22 0.17/0.47 # Rec. Clause-clause subsumption calls : 16 0.17/0.47 # Non-unit clause-clause subsumptions : 11 0.17/0.47 # Unit Clause-clause subsumption calls : 6 0.17/0.47 # Rewrite failures with RHS unbound : 0 0.17/0.47 # BW rewrite match attempts : 6 0.17/0.47 # BW rewrite match successes : 6 0.17/0.47 # Condensation attempts : 47 0.17/0.47 # Condensation successes : 2 0.17/0.47 # Termbank termtop insertions : 2453 0.17/0.47 # Search garbage collected termcells : 485 0.17/0.47 0.17/0.47 # ------------------------------------------------- 0.17/0.47 # User time : 0.005 s 0.17/0.47 # System time : 0.004 s 0.17/0.47 # Total time : 0.009 s 0.17/0.47 # Maximum resident set size: 1916 pages 0.17/0.47 0.17/0.47 # ------------------------------------------------- 0.17/0.47 # User time : 0.007 s 0.17/0.47 # System time : 0.006 s 0.17/0.47 # Total time : 0.013 s 0.17/0.47 # Maximum resident set size: 1820 pages 0.17/0.47 % E exiting 0.17/0.47 % E exiting 0.17/0.47 EOF