0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n012.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 : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 03:01:59 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.46 Running higher-order on 8 cores theorem proving 0.19/0.46 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.46 # Version: 3.0pre003-ho 0.19/0.47 # Preprocessing class: HSMSSMSSMLSNHSN. 0.19/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.47 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.47 # Starting post_as_ho3 with 120s (1) cores 0.19/0.47 # Starting post_as_ho11 with 120s (1) cores 0.19/0.47 # Starting full_lambda_8 with 120s (1) cores 0.19/0.47 # full_lambda_8 with pid 16937 completed with status 0 0.19/0.47 # Result found by full_lambda_8 0.19/0.47 # Preprocessing class: HSMSSMSSMLSNHSN. 0.19/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.47 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.47 # Starting post_as_ho3 with 120s (1) cores 0.19/0.47 # Starting post_as_ho11 with 120s (1) cores 0.19/0.47 # Starting full_lambda_8 with 120s (1) cores 0.19/0.47 # No SInE strategy applied 0.19/0.47 # Search class: HGUNF-FFSS22-SHSSMSBN 0.19/0.47 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.47 # Starting new_ho_10 with 65s (1) cores 0.19/0.47 # new_ho_10 with pid 16942 completed with status 0 0.19/0.47 # Result found by new_ho_10 0.19/0.47 # Preprocessing class: HSMSSMSSMLSNHSN. 0.19/0.47 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.47 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.47 # Starting post_as_ho3 with 120s (1) cores 0.19/0.47 # Starting post_as_ho11 with 120s (1) cores 0.19/0.47 # Starting full_lambda_8 with 120s (1) cores 0.19/0.47 # No SInE strategy applied 0.19/0.47 # Search class: HGUNF-FFSS22-SHSSMSBN 0.19/0.47 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.47 # Starting new_ho_10 with 65s (1) cores 0.19/0.47 # Preprocessing time : 0.001 s 0.19/0.47 # Presaturation interreduction done 0.19/0.47 0.19/0.47 # Proof found! 0.19/0.47 # SZS status Theorem 0.19/0.47 # SZS output start CNFRefutation 0.19/0.47 thf(decl_22, type, current_world: $i). 0.19/0.47 thf(decl_23, type, prop_a: $i > $o). 0.19/0.47 thf(decl_24, type, prop_b: $i > $o). 0.19/0.47 thf(decl_25, type, prop_c: $i > $o). 0.19/0.47 thf(decl_26, type, mfalse: $i > $o). 0.19/0.47 thf(decl_27, type, mtrue: $i > $o). 0.19/0.47 thf(decl_28, type, mnot: ($i > $o) > $i > $o). 0.19/0.47 thf(decl_29, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_30, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_31, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_32, type, miff: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_33, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_34, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_35, type, mall: (individuals > $i > $o) > $i > $o). 0.19/0.47 thf(decl_36, type, mexists: (individuals > $i > $o) > $i > $o). 0.19/0.47 thf(decl_37, type, mvalid: ($i > $o) > $o). 0.19/0.47 thf(decl_38, type, msatisfiable: ($i > $o) > $o). 0.19/0.47 thf(decl_39, type, mcountersatisfiable: ($i > $o) > $o). 0.19/0.47 thf(decl_40, type, minvalid: ($i > $o) > $o). 0.19/0.47 thf(decl_41, type, rel: $i > $i > $o). 0.19/0.47 thf(decl_42, type, icl_atom: ($i > $o) > $i > $o). 0.19/0.47 thf(decl_43, type, icl_princ: ($i > $o) > $i > $o). 0.19/0.47 thf(decl_44, type, icl_and: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_45, type, icl_or: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_46, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_47, type, icl_true: $i > $o). 0.19/0.47 thf(decl_48, type, icl_false: $i > $o). 0.19/0.47 thf(decl_49, type, icl_says: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.47 thf(decl_50, type, iclval: ($i > $o) > $o). 0.19/0.47 thf(decl_51, type, s: $i > $o). 0.19/0.47 thf(decl_52, type, a: $i > $o). 0.19/0.47 thf(decl_53, type, esk1_2: ($i > $o) > $i > $i). 0.19/0.47 thf(decl_54, type, esk2_2: ($i > $o) > $i > $i). 0.19/0.47 thf(decl_55, type, esk3_0: $i). 0.19/0.47 thf(decl_56, type, esk4_0: $i). 0.19/0.47 thf(decl_57, type, esk5_0: $i). 0.19/0.47 thf(decl_58, type, esk6_0: $i). 0.19/0.47 thf(mimpl, axiom, ((mimpl)=(^[X7:$i > $o, X8:$i > $o]:(mor @ (mnot @ X7) @ X8))), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mimpl)). 0.19/0.47 thf(mnot, axiom, ((mnot)=(^[X2:$i > $o, X3:$i]:(~((X2 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mnot)). 0.19/0.47 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mor)). 0.19/0.47 thf(icl_atom, axiom, ((icl_atom)=(^[X11:$i > $o]:(mbox @ rel @ X11))), file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax', icl_atom)). 0.19/0.47 thf(mbox, axiom, ((mbox)=(^[X10:$i > $i > $o, X11:$i > $o, X1:$i]:(![X12:$i]:(((X10 @ X1 @ X12)=>(X11 @ X12)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mbox)). 0.19/0.47 thf(icl_impl, axiom, ((icl_impl)=(^[X19:$i > $o, X20:$i > $o]:(mbox @ rel @ (mimpl @ X19 @ X20)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax', icl_impl)). 0.19/0.47 thf(icl_says, axiom, ((icl_says)=(^[X19:$i > $o, X21:$i > $o]:(mbox @ rel @ (mor @ X19 @ X21)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax', icl_says)). 0.19/0.47 thf(icl_s4_valid, axiom, ((iclval)=(^[X22:$i > $o]:((mvalid @ X22)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax', icl_s4_valid)). 0.19/0.47 thf(mvalid, axiom, ((mvalid)=(^[X11:$i > $o]:(![X15:$i]:((X11 @ X15))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax', mvalid)). 0.19/0.47 thf(icl_princ, axiom, ((icl_princ)=(^[X11:$i > $o]:(X11))), file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax', icl_princ)). 0.19/0.47 thf(idem, conjecture, (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s))) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', idem)). 0.19/0.47 thf(refl_axiom, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ rel @ X19) @ X19))), file('/export/starexec/sandbox/benchmark/Axioms/SWV008^1.ax', refl_axiom)). 0.19/0.47 thf(c_0_12, plain, ((mimpl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimpl])). 0.19/0.47 thf(c_0_13, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.19/0.47 thf(c_0_14, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.19/0.47 thf(c_0_15, plain, ((icl_atom)=(^[Z0:$i > $o, Z1:$i]:(![X25:$i]:(((rel @ Z1 @ X25)=>(Z0 @ X25)))))), inference(fof_simplification,[status(thm)],[icl_atom])). 0.19/0.47 thf(c_0_16, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X12:$i]:(((Z0 @ Z2 @ X12)=>(Z1 @ X12)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.19/0.47 thf(c_0_17, plain, ((icl_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X26:$i]:(((rel @ Z2 @ X26)=>(((~((Z0 @ X26)))|(Z1 @ X26)))))))), inference(fof_simplification,[status(thm)],[icl_impl])). 0.19/0.47 thf(c_0_18, plain, ((mimpl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_13]), c_0_14])). 0.19/0.47 thf(c_0_19, plain, ((icl_says)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X27:$i]:(((rel @ Z2 @ X27)=>(((Z0 @ X27)|(Z1 @ X27)))))))), inference(fof_simplification,[status(thm)],[icl_says])). 0.19/0.47 thf(c_0_20, plain, ((iclval)=(^[Z0:$i > $o]:((![X28:$i]:((Z0 @ X28)))))), inference(fof_simplification,[status(thm)],[icl_s4_valid])). 0.19/0.47 thf(c_0_21, plain, ((mvalid)=(^[Z0:$i > $o]:(![X15:$i]:((Z0 @ X15))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.19/0.47 thf(c_0_22, plain, ((icl_atom)=(^[Z0:$i > $o, Z1:$i]:(![X25:$i]:(((rel @ Z1 @ X25)=>(Z0 @ X25)))))), inference(apply_def,[status(thm)],[c_0_15, c_0_16])). 0.19/0.47 thf(c_0_23, plain, ((icl_princ)=(^[Z0:$i > $o]:(Z0))), inference(fof_simplification,[status(thm)],[icl_princ])). 0.19/0.47 thf(c_0_24, plain, ((icl_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X26:$i]:(((rel @ Z2 @ X26)=>(((~((Z0 @ X26)))|(Z1 @ X26)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_18]), c_0_16])). 0.19/0.47 thf(c_0_25, plain, ((icl_says)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X27:$i]:(((rel @ Z2 @ X27)=>(((Z0 @ X27)|(Z1 @ X27)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19, c_0_14]), c_0_16])). 0.19/0.47 thf(c_0_26, plain, ((iclval)=(^[Z0:$i > $o]:((![X28:$i]:((Z0 @ X28)))))), inference(apply_def,[status(thm)],[c_0_20, c_0_21])). 0.19/0.47 thf(c_0_27, negated_conjecture, ~(![X41:$i, X40:$i]:(((rel @ X41 @ X40)=>(~(![X37:$i]:(((rel @ X40 @ X37)=>((a @ X37)|![X36:$i]:(((rel @ X37 @ X36)=>((a @ X36)|![X35:$i]:(((rel @ X36 @ X35)=>(s @ X35))))))))))|![X39:$i]:(((rel @ X40 @ X39)=>((a @ X39)|![X38:$i]:(((rel @ X39 @ X38)=>(s @ X38)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[idem]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])). 0.19/0.47 thf(c_0_28, plain, ![X19:$i > $o, X30:$i]:((~(![X29:$i]:(((rel @ X30 @ X29)=>(X19 @ X29))))|(X19 @ X30))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom, c_0_18]), c_0_16]), c_0_21])). 0.19/0.47 thf(c_0_29, negated_conjecture, ![X52:$i, X53:$i, X54:$i]:(((rel @ esk3_0 @ esk4_0)&((~(rel @ esk4_0 @ X52)|((a @ X52)|(~(rel @ X52 @ X53)|((a @ X53)|(~(rel @ X53 @ X54)|(s @ X54))))))&((rel @ esk4_0 @ esk5_0)&(~(a @ esk5_0)&((rel @ esk5_0 @ esk6_0)&~(s @ esk6_0))))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])). 0.19/0.47 thf(c_0_30, plain, ![X42:$i > $o, X43:$i]:((((rel @ X43 @ (esk1_2 @ X42 @ X43))|(X42 @ X43))&(~(X42 @ (esk1_2 @ X42 @ X43))|(X42 @ X43)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])). 0.19/0.47 thf(c_0_31, negated_conjecture, ![X1:$i, X3:$i, X12:$i]:(((a @ X1)|(a @ X3)|(s @ X12)|~((rel @ esk4_0 @ X1))|~((rel @ X1 @ X3))|~((rel @ X3 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.19/0.47 thf(c_0_32, negated_conjecture, (rel @ esk4_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.19/0.47 thf(c_0_33, negated_conjecture, ~((a @ esk5_0)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.19/0.47 thf(c_0_34, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.19/0.47 thf(c_0_35, plain, ![X2:$i > $o, X1:$i]:(((rel @ X1 @ (esk1_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.19/0.47 thf(c_0_36, negated_conjecture, ![X1:$i, X3:$i]:(((a @ X1)|(s @ X3)|~((rel @ esk5_0 @ X1))|~((rel @ X1 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])). 0.19/0.47 thf(c_0_37, plain, ![X1:$i]:((rel @ X1 @ X1)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.19/0.47 thf(c_0_38, negated_conjecture, ~((s @ esk6_0)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.19/0.47 thf(c_0_39, negated_conjecture, ![X1:$i]:(((s @ X1)|~((rel @ esk5_0 @ X1)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_33])). 0.19/0.47 thf(c_0_40, negated_conjecture, (rel @ esk5_0 @ esk6_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.19/0.47 thf(c_0_41, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])]), ['proof']). 0.19/0.47 # SZS output end CNFRefutation 0.19/0.47 # Parsed axioms : 59 0.19/0.47 # Removed by relevancy pruning/SinE : 0 0.19/0.47 # Initial clauses : 42 0.19/0.47 # Removed in clause preprocessing : 32 0.19/0.47 # Initial clauses in saturation : 10 0.19/0.47 # Processed clauses : 23 0.19/0.47 # ...of these trivial : 0 0.19/0.47 # ...subsumed : 0 0.19/0.47 # ...remaining for further processing : 23 0.19/0.47 # Other redundant clauses eliminated : 0 0.19/0.47 # Clauses deleted for lack of memory : 0 0.19/0.47 # Backward-subsumed : 0 0.19/0.47 # Backward-rewritten : 0 0.19/0.47 # Generated clauses : 19 0.19/0.47 # ...of the previous two non-redundant : 18 0.19/0.47 # ...aggressively subsumed : 0 0.19/0.47 # Contextual simplify-reflections : 0 0.19/0.47 # Paramodulations : 19 0.19/0.47 # Factorizations : 0 0.19/0.47 # NegExts : 0 0.19/0.47 # Equation resolutions : 0 0.19/0.47 # Propositional unsat checks : 0 0.19/0.47 # Propositional check models : 0 0.19/0.47 # Propositional check unsatisfiable : 0 0.19/0.47 # Propositional clauses : 0 0.19/0.47 # Propositional clauses after purity: 0 0.19/0.47 # Propositional unsat core size : 0 0.19/0.47 # Propositional preprocessing time : 0.000 0.19/0.47 # Propositional encoding time : 0.000 0.19/0.47 # Propositional solver time : 0.000 0.19/0.47 # Success case prop preproc time : 0.000 0.19/0.47 # Success case prop encoding time : 0.000 0.19/0.47 # Success case prop solver time : 0.000 0.19/0.47 # Current number of processed clauses : 13 0.19/0.47 # Positive orientable unit clauses : 4 0.19/0.47 # Positive unorientable unit clauses: 0 0.19/0.47 # Negative unit clauses : 2 0.19/0.47 # Non-unit-clauses : 7 0.19/0.47 # Current number of unprocessed clauses: 14 0.19/0.47 # ...number of literals in the above : 50 0.19/0.47 # Current number of archived formulas : 0 0.19/0.47 # Current number of archived clauses : 10 0.19/0.47 # Clause-clause subsumption calls (NU) : 23 0.19/0.47 # Rec. Clause-clause subsumption calls : 6 0.19/0.47 # Non-unit clause-clause subsumptions : 0 0.19/0.47 # Unit Clause-clause subsumption calls : 2 0.19/0.47 # Rewrite failures with RHS unbound : 0 0.19/0.47 # BW rewrite match attempts : 11 0.19/0.47 # BW rewrite match successes : 0 0.19/0.47 # Condensation attempts : 23 0.19/0.47 # Condensation successes : 0 0.19/0.47 # Termbank termtop insertions : 2732 0.19/0.47 0.19/0.47 # ------------------------------------------------- 0.19/0.47 # User time : 0.004 s 0.19/0.47 # System time : 0.003 s 0.19/0.47 # Total time : 0.008 s 0.19/0.47 # Maximum resident set size: 1916 pages 0.19/0.47 0.19/0.47 # ------------------------------------------------- 0.19/0.47 # User time : 0.008 s 0.19/0.47 # System time : 0.003 s 0.19/0.47 # Total time : 0.012 s 0.19/0.47 # Maximum resident set size: 1780 pages 0.19/0.47 EOF