0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.32 % Computer : n031.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 02:08:04 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.46 Running higher-order theorem proving 0.19/0.48 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.giFcFfEZtj/E---3.1_6019.p 0.19/0.51 # Version: 3.0.0-ho 0.19/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.19/0.51 # Starting post_as_ho3 with 240s (1) cores 0.19/0.51 # Starting new_ho_12 with 240s (1) cores 0.19/0.51 # Starting new_bool_2 with 240s (1) cores 0.19/0.51 # post_as_ho3 with pid 6098 completed with status 0 0.19/0.51 # Result found by post_as_ho3 0.19/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.19/0.51 # Starting post_as_ho3 with 240s (1) cores 0.19/0.51 # No SInE strategy applied 0.19/0.51 # Search class: HGUNM-FFMF32-SHSSMFNN 0.19/0.51 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.51 # Starting new_ho_10 with 130s (1) cores 0.19/0.51 # new_ho_10 with pid 6104 completed with status 0 0.19/0.51 # Result found by new_ho_10 0.19/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.19/0.51 # Starting post_as_ho3 with 240s (1) cores 0.19/0.51 # No SInE strategy applied 0.19/0.51 # Search class: HGUNM-FFMF32-SHSSMFNN 0.19/0.51 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.51 # Starting new_ho_10 with 130s (1) cores 0.19/0.51 # Preprocessing time : 0.003 s 0.19/0.51 # Presaturation interreduction done 0.19/0.51 0.19/0.51 # Proof found! 0.19/0.51 # SZS status Theorem 0.19/0.51 # SZS output start CNFRefutation 0.19/0.51 thf(decl_sort1, type, mu: $tType). 0.19/0.51 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 0.19/0.51 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.51 thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.51 thf(decl_32, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.19/0.51 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.19/0.51 thf(decl_39, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.19/0.51 thf(decl_41, type, msymmetric: ($i > $i > $o) > $o). 0.19/0.51 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.19/0.51 thf(decl_54, type, a1: $i > $i > $o). 0.19/0.51 thf(decl_57, type, jan: mu). 0.19/0.51 thf(decl_58, type, piotr: mu). 0.19/0.51 thf(decl_59, type, cola: mu). 0.19/0.51 thf(decl_61, type, beer: mu). 0.19/0.51 thf(decl_62, type, likes: mu > mu > $i > $o). 0.19/0.51 thf(decl_64, type, possibly_likes: mu > mu > $i > $o). 0.19/0.51 thf(decl_74, type, esk8_0: $i). 0.19/0.51 thf(decl_75, type, esk9_1: $i > $i). 0.19/0.51 thf(mdia, axiom, ((mdia)=(^[X13:$i > $i > $o, X6:$i > $o]:(mnot @ (mbox @ X13 @ (mnot @ X6))))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', mdia)). 0.19/0.51 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', mnot)). 0.19/0.51 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', mbox)). 0.19/0.51 thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:(((X13 @ X15 @ X16)=>(X13 @ X16 @ X15)))))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', msymmetric)). 0.19/0.51 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', mvalid)). 0.19/0.51 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', mimplies)). 0.19/0.51 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', mor)). 0.19/0.51 thf(axioms_B_a1, axiom, (msymmetric @ a1), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', axioms_B_a1)). 0.19/0.51 thf(axiom_a3_3, axiom, (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', axiom_a3_3)). 0.19/0.51 thf(mforall_ind, axiom, ((mforall_ind)=(^[X8:mu > $i > $o, X3:$i]:(![X1:mu]:((X8 @ X1 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', mforall_ind)). 0.19/0.51 thf(axiom_a1_1, axiom, (mvalid @ (mbox @ a1 @ (likes @ jan @ cola))), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', axiom_a1_1)). 0.19/0.51 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/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', axiom_user_communication_3)). 0.19/0.51 thf(conj, conjecture, (mvalid @ (possibly_likes @ jan @ cola)), file('/export/starexec/sandbox/tmp/tmp.giFcFfEZtj/E---3.1_6019.p', conj)). 0.19/0.51 thf(c_0_13, plain, ((mdia)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:((~((Z0 @ Z2 @ X24))|(~((Z1 @ X24)))))))))), inference(fof_simplification,[status(thm)],[mdia])). 0.19/0.51 thf(c_0_14, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.19/0.51 thf(c_0_15, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.19/0.51 thf(c_0_16, plain, ((msymmetric)=(^[Z0/* 6 */:$i > $i > $o]:(![X15:$i, X16:$i]:(((Z0 @ X15 @ X16)=>(Z0 @ X16 @ X15)))))), inference(fof_simplification,[status(thm)],[msymmetric])). 0.19/0.51 thf(c_0_17, plain, ((mdia)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:((~((Z0 @ Z2 @ X24))|(~((Z1 @ X24)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13, c_0_14]), c_0_15])). 0.19/0.51 thf(c_0_18, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.19/0.51 thf(c_0_19, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.19/0.51 thf(c_0_20, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.19/0.51 thf(c_0_21, plain, ![X76:$i, X77:$i]:(((a1 @ X76 @ X77)=>(a1 @ X77 @ X76))), inference(apply_def,[status(thm)],[axioms_B_a1, c_0_16])). 0.19/0.51 thf(c_0_22, plain, ![X126:$i]:(~(![X125:$i]:((~(a1 @ X126 @ X125)|~(likes @ piotr @ beer @ X125))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a3_3, c_0_17]), c_0_18])])). 0.19/0.51 thf(c_0_23, 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_19, c_0_14]), c_0_20])). 0.19/0.51 thf(c_0_24, plain, ((mforall_ind)=(^[Z0/* 19 */:mu > $i > $o, Z1:$i]:(![X1:mu]:((Z0 @ X1 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_ind])). 0.19/0.51 thf(c_0_25, plain, ![X39:$i, X38:$i]:((~(a1 @ X39 @ X38)|(likes @ jan @ cola @ X38))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a1_1, c_0_15]), c_0_18])])). 0.19/0.51 thf(c_0_26, plain, ![X187:$i, X188:$i]:((~(a1 @ X187 @ X188)|(a1 @ X188 @ X187))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])). 0.19/0.51 thf(c_0_27, plain, ![X236:$i]:(((a1 @ X236 @ (esk9_1 @ X236))&(likes @ piotr @ beer @ (esk9_1 @ X236)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])). 0.19/0.51 thf(c_0_28, plain, ![X132:$i, X131:mu, X130:mu]:((~(~(![X129:$i]:((~(a1 @ X132 @ X129)|~(likes @ X131 @ X130 @ X129)))))|(possibly_likes @ X131 @ X130 @ X132))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_user_communication_3]), c_0_23]), c_0_24]), c_0_17]), c_0_18])])). 0.19/0.51 thf(c_0_29, plain, ![X149:$i, X150:$i]:((~(a1 @ X149 @ X150)|(likes @ jan @ cola @ X150))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])])). 0.19/0.51 thf(c_0_30, plain, ![X3:$i, X14:$i]:(((a1 @ X14 @ X3)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.19/0.51 thf(c_0_31, plain, ![X3:$i]:((a1 @ X3 @ (esk9_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.19/0.51 thf(c_0_32, plain, ![X240:$i, X241:mu, X242:mu, X243:$i]:((~(a1 @ X240 @ X243)|~(likes @ X241 @ X242 @ X243)|(possibly_likes @ X241 @ X242 @ X240))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])). 0.19/0.51 thf(c_0_33, plain, ![X3:$i, X14:$i]:(((likes @ jan @ cola @ X14)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.19/0.51 thf(c_0_34, plain, ![X3:$i]:((a1 @ (esk9_1 @ X3) @ X3)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.19/0.51 thf(c_0_35, negated_conjecture, ~(![X109:$i]:((possibly_likes @ jan @ cola @ X109))), inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_18])). 0.19/0.51 thf(c_0_36, 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_32])). 0.19/0.51 thf(c_0_37, plain, ![X3:$i]:((likes @ jan @ cola @ X3)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.19/0.51 thf(c_0_38, negated_conjecture, ~(possibly_likes @ jan @ cola @ esk8_0), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])). 0.19/0.51 thf(c_0_39, plain, ![X3:$i, X14:$i]:(((possibly_likes @ jan @ cola @ X3)|~((a1 @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.19/0.51 thf(c_0_40, negated_conjecture, ~((possibly_likes @ jan @ cola @ esk8_0)), inference(split_conjunct,[status(thm)],[c_0_38])). 0.19/0.51 thf(c_0_41, plain, ![X3:$i]:((possibly_likes @ jan @ cola @ X3)), inference(spm,[status(thm)],[c_0_39, c_0_31])). 0.19/0.51 thf(c_0_42, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])]), ['proof']). 0.19/0.51 # SZS output end CNFRefutation 0.19/0.51 # Parsed axioms : 118 0.19/0.51 # Removed by relevancy pruning/SinE : 0 0.19/0.51 # Initial clauses : 91 0.19/0.51 # Removed in clause preprocessing : 45 0.19/0.51 # Initial clauses in saturation : 46 0.19/0.51 # Processed clauses : 118 0.19/0.51 # ...of these trivial : 0 0.19/0.51 # ...subsumed : 5 0.19/0.51 # ...remaining for further processing : 113 0.19/0.51 # Other redundant clauses eliminated : 0 0.19/0.51 # Clauses deleted for lack of memory : 0 0.19/0.51 # Backward-subsumed : 0 0.19/0.51 # Backward-rewritten : 14 0.19/0.51 # Generated clauses : 178 0.19/0.51 # ...of the previous two non-redundant : 161 0.19/0.51 # ...aggressively subsumed : 0 0.19/0.51 # Contextual simplify-reflections : 0 0.19/0.51 # Paramodulations : 178 0.19/0.51 # Factorizations : 0 0.19/0.51 # NegExts : 0 0.19/0.51 # Equation resolutions : 0 0.19/0.51 # Disequality decompositions : 0 0.19/0.51 # Total rewrite steps : 47 0.19/0.51 # ...of those cached : 21 0.19/0.51 # Propositional unsat checks : 0 0.19/0.51 # Propositional check models : 0 0.19/0.51 # Propositional check unsatisfiable : 0 0.19/0.51 # Propositional clauses : 0 0.19/0.51 # Propositional clauses after purity: 0 0.19/0.51 # Propositional unsat core size : 0 0.19/0.51 # Propositional preprocessing time : 0.000 0.19/0.51 # Propositional encoding time : 0.000 0.19/0.51 # Propositional solver time : 0.000 0.19/0.51 # Success case prop preproc time : 0.000 0.19/0.51 # Success case prop encoding time : 0.000 0.19/0.51 # Success case prop solver time : 0.000 0.19/0.51 # Current number of processed clauses : 55 0.19/0.51 # Positive orientable unit clauses : 17 0.19/0.51 # Positive unorientable unit clauses: 0 0.19/0.51 # Negative unit clauses : 0 0.19/0.51 # Non-unit-clauses : 38 0.19/0.51 # Current number of unprocessed clauses: 118 0.19/0.51 # ...number of literals in the above : 289 0.19/0.51 # Current number of archived formulas : 0 0.19/0.51 # Current number of archived clauses : 58 0.19/0.51 # Clause-clause subsumption calls (NU) : 247 0.19/0.51 # Rec. Clause-clause subsumption calls : 169 0.19/0.51 # Non-unit clause-clause subsumptions : 5 0.19/0.51 # Unit Clause-clause subsumption calls : 38 0.19/0.51 # Rewrite failures with RHS unbound : 0 0.19/0.51 # BW rewrite match attempts : 33 0.19/0.51 # BW rewrite match successes : 13 0.19/0.51 # Condensation attempts : 118 0.19/0.51 # Condensation successes : 0 0.19/0.51 # Termbank termtop insertions : 11030 0.19/0.51 # Search garbage collected termcells : 3139 0.19/0.51 0.19/0.51 # ------------------------------------------------- 0.19/0.51 # User time : 0.014 s 0.19/0.51 # System time : 0.006 s 0.19/0.51 # Total time : 0.021 s 0.19/0.51 # Maximum resident set size: 2416 pages 0.19/0.51 0.19/0.51 # ------------------------------------------------- 0.19/0.51 # User time : 0.017 s 0.19/0.51 # System time : 0.008 s 0.19/0.51 # Total time : 0.026 s 0.19/0.51 # Maximum resident set size: 1832 pages 0.19/0.51 % E exiting 0.19/0.51 % E exiting 0.19/0.51 EOF