0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n023.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 03:41:04 EDT 2025 0.12/0.34 % CPUTime : 0.21/0.47 Running higher-order theorem proving 0.21/0.48 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=240 /export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p 0.21/0.51 # Version: 3.0.0-ho 0.21/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.21/0.51 # Starting post_as_ho3 with 240s (1) cores 0.21/0.51 # Starting new_ho_12 with 240s (1) cores 0.21/0.51 # Starting new_bool_2 with 240s (1) cores 0.21/0.51 # new_ho_10_cnf2 with pid 15965 completed with status 0 0.21/0.51 # Result found by new_ho_10_cnf2 0.21/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.21/0.51 # No SInE strategy applied 0.21/0.51 # Search class: HGUNM-FFMF32-SHSSMFNN 0.21/0.51 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.21/0.51 # Starting new_ho_10 with 649s (1) cores 0.21/0.51 # Starting new_ho_10_cnf2 with 121s (1) cores 0.21/0.51 # Starting ehoh_best_sine_rwall with 109s (1) cores 0.21/0.51 # Starting lpo1_def_fix with 109s (1) cores 0.21/0.51 # Starting ehoh_best8_lambda with 109s (1) cores 0.21/0.51 # ehoh_best_sine_rwall with pid 15976 completed with status 0 0.21/0.51 # Result found by ehoh_best_sine_rwall 0.21/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.21/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.21/0.51 # No SInE strategy applied 0.21/0.51 # Search class: HGUNM-FFMF32-SHSSMFNN 0.21/0.51 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.21/0.51 # Starting new_ho_10 with 649s (1) cores 0.21/0.51 # Starting new_ho_10_cnf2 with 121s (1) cores 0.21/0.51 # Starting ehoh_best_sine_rwall with 109s (1) cores 0.21/0.51 # Preprocessing time : 0.002 s 0.21/0.51 # Presaturation interreduction done 0.21/0.51 0.21/0.51 # Proof found! 0.21/0.51 # SZS status Theorem 0.21/0.51 # SZS output start CNFRefutation 0.21/0.51 thf(decl_sort1, type, mu: $tType). 0.21/0.51 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 0.21/0.51 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.51 thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.51 thf(decl_32, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.21/0.51 thf(decl_34, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.21/0.51 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.21/0.51 thf(decl_39, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.21/0.51 thf(decl_41, type, msymmetric: ($i > $i > $o) > $o). 0.21/0.51 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.21/0.51 thf(decl_54, type, a1: $i > $i > $o). 0.21/0.51 thf(decl_58, type, piotr: mu). 0.21/0.51 thf(decl_61, type, beer: mu). 0.21/0.51 thf(decl_62, type, likes: mu > mu > $i > $o). 0.21/0.51 thf(decl_64, type, possibly_likes: mu > mu > $i > $o). 0.21/0.51 thf(decl_68, type, esk2_0: $i). 0.21/0.51 thf(decl_72, type, esk6_1: $i > $i). 0.21/0.51 thf(mdia, axiom, ((mdia)=(^[X13:$i > $i > $o, X6:$i > $o]:(mnot @ (mbox @ X13 @ (mnot @ X6))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mdia)). 0.21/0.51 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mnot)). 0.21/0.51 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mbox)). 0.21/0.51 thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:(((X13 @ X15 @ X16)=>(X13 @ X16 @ X15)))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', msymmetric)). 0.21/0.51 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mvalid)). 0.21/0.51 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mimplies)). 0.21/0.51 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mor)). 0.21/0.51 thf(axioms_B_a1, axiom, (msymmetric @ a1), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', axioms_B_a1)). 0.21/0.51 thf(axiom_a3_3, axiom, (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', axiom_a3_3)). 0.21/0.51 thf(mforall_ind, axiom, ((mforall_ind)=(^[X8:mu > $i > $o, X3:$i]:(![X1:mu]:((X8 @ X1 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mforall_ind)). 0.21/0.51 thf(axiom_a2_3, axiom, (mvalid @ (mbox @ a1 @ (likes @ piotr @ beer))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', axiom_a2_3)). 0.21/0.51 thf(mexists_ind, axiom, ((mexists_ind)=(^[X11:mu > $i > $o]:(mnot @ (mforall_ind @ (^[X1:mu]:(mnot @ (X11 @ X1))))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', mexists_ind)). 0.21/0.51 thf(axiom_user_communication_3, axiom, (mvalid @ (mforall_ind @ (^[X1:mu]:(mforall_ind @ (^[X2:mu]:(mimplies @ (mdia @ a1 @ (likes @ X1 @ X2)) @ (possibly_likes @ X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', axiom_user_communication_3)). 0.21/0.51 thf(conj, conjecture, (mvalid @ (mexists_ind @ (^[X1:mu]:(mexists_ind @ (^[X2:mu]:(possibly_likes @ X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.s4JSg4HlC9/E---3.1_15887.p', conj)). 0.21/0.51 thf(c_0_14, plain, ((mdia)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:((~((Z0 @ Z2 @ X24))|(~((Z1 @ X24)))))))))), inference(fof_simplification,[status(thm)],[mdia])). 0.21/0.51 thf(c_0_15, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.21/0.51 thf(c_0_16, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.21/0.51 thf(c_0_17, plain, ((msymmetric)=(^[Z0/* 6 */:$i > $i > $o]:(![X15:$i, X16:$i]:(((Z0 @ X15 @ X16)=>(Z0 @ X16 @ X15)))))), inference(fof_simplification,[status(thm)],[msymmetric])). 0.21/0.51 thf(c_0_18, plain, ((mdia)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:((~((Z0 @ Z2 @ X24))|(~((Z1 @ X24)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_15]), c_0_16])). 0.21/0.51 thf(c_0_19, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.21/0.51 thf(c_0_20, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.21/0.51 thf(c_0_21, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.21/0.51 thf(c_0_22, plain, ![X98:$i, X99:$i]:(((a1 @ X98 @ X99)=>(a1 @ X99 @ X98))), inference(apply_def,[status(thm)],[axioms_B_a1, c_0_17])). 0.21/0.51 thf(c_0_23, plain, ![X115:$i]:(~(![X114:$i]:((~(a1 @ X115 @ X114)|~(likes @ piotr @ beer @ X114))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a3_3, c_0_18]), c_0_19])])). 0.21/0.51 thf(c_0_24, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_15]), c_0_21])). 0.21/0.51 thf(c_0_25, plain, ((mforall_ind)=(^[Z0/* 19 */:mu > $i > $o, Z1:$i]:(![X1:mu]:((Z0 @ X1 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_ind])). 0.21/0.51 thf(c_0_26, plain, ![X127:$i, X126:$i]:((~(a1 @ X127 @ X126)|(likes @ piotr @ beer @ X126))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a2_3, c_0_16]), c_0_19])])). 0.21/0.51 thf(c_0_27, plain, ![X211:$i, X212:$i]:((~(a1 @ X211 @ X212)|(a1 @ X212 @ X211))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])). 0.21/0.51 thf(c_0_28, plain, ![X227:$i]:(((a1 @ X227 @ (esk6_1 @ X227))&(likes @ piotr @ beer @ (esk6_1 @ X227)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])). 0.21/0.51 thf(c_0_29, plain, ((mexists_ind)=(^[Z0/* 19 */:mu > $i > $o, Z1:$i]:(~((![X22:mu]:((~((Z0 @ X22 @ Z1))))))))), inference(fof_simplification,[status(thm)],[mexists_ind])). 0.21/0.51 thf(c_0_30, plain, ![X41:$i, X40:mu, X39:mu]:((~(~(![X38:$i]:((~(a1 @ X41 @ X38)|~(likes @ X40 @ X39 @ X38)))))|(possibly_likes @ X40 @ X39 @ X41))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_user_communication_3]), c_0_24]), c_0_25]), c_0_18]), c_0_19])])). 0.21/0.51 thf(c_0_31, plain, ![X239:$i, X240:$i]:((~(a1 @ X239 @ X240)|(likes @ piotr @ beer @ X240))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])])). 0.21/0.51 thf(c_0_32, plain, ![X3:$i, X14:$i]:(((a1 @ X14 @ X3)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.21/0.51 thf(c_0_33, plain, ![X3:$i]:((a1 @ X3 @ (esk6_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.21/0.51 thf(c_0_34, plain, ((mexists_ind)=(^[Z0/* 19 */:mu > $i > $o, Z1:$i]:(~((![X22:mu]:((~((Z0 @ X22 @ Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, c_0_15]), c_0_25])). 0.21/0.51 thf(c_0_35, plain, ![X151:$i, X152:mu, X153:mu, X154:$i]:((~(a1 @ X151 @ X154)|~(likes @ X152 @ X153 @ X154)|(possibly_likes @ X152 @ X153 @ X151))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])). 0.21/0.51 thf(c_0_36, plain, ![X3:$i, X14:$i]:(((likes @ piotr @ beer @ X14)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.21/0.51 thf(c_0_37, plain, ![X3:$i]:((a1 @ (esk6_1 @ X3) @ X3)), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.21/0.51 thf(c_0_38, negated_conjecture, ~(![X64:$i]:(~(![X63:mu]:(~(~(![X62:mu]:(~(possibly_likes @ X63 @ X62 @ X64)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]), c_0_34]), c_0_19])])). 0.21/0.51 thf(c_0_39, plain, ![X3:$i, X2:mu, X1:mu, X14:$i]:(((possibly_likes @ X1 @ X2 @ X3)|~((a1 @ X3 @ X14))|~((likes @ X1 @ X2 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.21/0.51 thf(c_0_40, plain, ![X3:$i]:((likes @ piotr @ beer @ X3)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.21/0.51 thf(c_0_41, negated_conjecture, ![X176:mu, X177:mu]:(~(possibly_likes @ X176 @ X177 @ esk2_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])). 0.21/0.51 thf(c_0_42, plain, ![X3:$i, X14:$i]:(((possibly_likes @ piotr @ beer @ X3)|~((a1 @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.21/0.51 thf(c_0_43, negated_conjecture, ![X1:mu, X2:mu]:(~((possibly_likes @ X1 @ X2 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.21/0.51 thf(c_0_44, plain, ![X3:$i]:((possibly_likes @ piotr @ beer @ X3)), inference(spm,[status(thm)],[c_0_42, c_0_33])). 0.21/0.51 thf(c_0_45, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_43, c_0_44]), ['proof']). 0.21/0.51 # SZS output end CNFRefutation 0.21/0.51 # Parsed axioms : 118 0.21/0.51 # Removed by relevancy pruning/SinE : 0 0.21/0.51 # Initial clauses : 91 0.21/0.51 # Removed in clause preprocessing : 45 0.21/0.51 # Initial clauses in saturation : 46 0.21/0.51 # Processed clauses : 102 0.21/0.51 # ...of these trivial : 0 0.21/0.51 # ...subsumed : 5 0.21/0.51 # ...remaining for further processing : 97 0.21/0.51 # Other redundant clauses eliminated : 0 0.21/0.51 # Clauses deleted for lack of memory : 0 0.21/0.51 # Backward-subsumed : 0 0.21/0.51 # Backward-rewritten : 11 0.21/0.51 # Generated clauses : 114 0.21/0.51 # ...of the previous two non-redundant : 103 0.21/0.51 # ...aggressively subsumed : 0 0.21/0.51 # Contextual simplify-reflections : 0 0.21/0.51 # Paramodulations : 114 0.21/0.51 # Factorizations : 0 0.21/0.51 # NegExts : 0 0.21/0.51 # Equation resolutions : 0 0.21/0.51 # Disequality decompositions : 0 0.21/0.51 # Total rewrite steps : 21 0.21/0.51 # ...of those cached : 6 0.21/0.51 # Propositional unsat checks : 0 0.21/0.51 # Propositional check models : 0 0.21/0.51 # Propositional check unsatisfiable : 0 0.21/0.51 # Propositional clauses : 0 0.21/0.51 # Propositional clauses after purity: 0 0.21/0.51 # Propositional unsat core size : 0 0.21/0.51 # Propositional preprocessing time : 0.000 0.21/0.51 # Propositional encoding time : 0.000 0.21/0.51 # Propositional solver time : 0.000 0.21/0.51 # Success case prop preproc time : 0.000 0.21/0.51 # Success case prop encoding time : 0.000 0.21/0.51 # Success case prop solver time : 0.000 0.21/0.51 # Current number of processed clauses : 42 0.21/0.51 # Positive orientable unit clauses : 16 0.21/0.51 # Positive unorientable unit clauses: 0 0.21/0.51 # Negative unit clauses : 1 0.21/0.51 # Non-unit-clauses : 25 0.21/0.51 # Current number of unprocessed clauses: 74 0.21/0.51 # ...number of literals in the above : 179 0.21/0.51 # Current number of archived formulas : 0 0.21/0.51 # Current number of archived clauses : 55 0.21/0.51 # Clause-clause subsumption calls (NU) : 191 0.21/0.51 # Rec. Clause-clause subsumption calls : 112 0.21/0.51 # Non-unit clause-clause subsumptions : 5 0.21/0.51 # Unit Clause-clause subsumption calls : 2 0.21/0.51 # Rewrite failures with RHS unbound : 0 0.21/0.51 # BW rewrite match attempts : 10 0.21/0.51 # BW rewrite match successes : 9 0.21/0.51 # Condensation attempts : 0 0.21/0.51 # Condensation successes : 0 0.21/0.51 # Termbank termtop insertions : 11368 0.21/0.51 # Search garbage collected termcells : 3238 0.21/0.51 0.21/0.51 # ------------------------------------------------- 0.21/0.51 # User time : 0.011 s 0.21/0.51 # System time : 0.005 s 0.21/0.51 # Total time : 0.016 s 0.21/0.51 # Maximum resident set size: 2560 pages 0.21/0.51 0.21/0.51 # ------------------------------------------------- 0.21/0.51 # User time : 0.035 s 0.21/0.51 # System time : 0.017 s 0.21/0.51 # Total time : 0.052 s 0.21/0.51 # Maximum resident set size: 1828 pages 0.21/0.51 % E exiting 0.21/0.51 % E exiting 0.21/0.51 EOF