0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : run_E %s %d THM 0.14/0.36 % Computer : n005.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Tue Aug 9 03:20:34 EDT 2022 0.14/0.36 % CPUTime : 0.21/0.50 Running higher-order on 8 cores theorem proving 0.21/0.50 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.51 # Version: 3.0pre003-ho 0.21/0.52 # Preprocessing class: HSMSSMSSMLSNHSN. 0.21/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.21/0.52 # Starting new_ho_10_cnf2 with 600s (5) cores 0.21/0.52 # Starting post_as_ho3 with 120s (1) cores 0.21/0.52 # Starting post_as_ho11 with 120s (1) cores 0.21/0.52 # Starting full_lambda_8 with 120s (1) cores 0.21/0.52 # post_as_ho11 with pid 19891 completed with status 0 0.21/0.52 # Result found by post_as_ho11 0.21/0.52 # Preprocessing class: HSMSSMSSMLSNHSN. 0.21/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.21/0.52 # Starting new_ho_10_cnf2 with 600s (5) cores 0.21/0.52 # Starting post_as_ho3 with 120s (1) cores 0.21/0.52 # Starting post_as_ho11 with 120s (1) cores 0.21/0.52 # No SInE strategy applied 0.21/0.52 # Search class: HGUNF-FFSF22-SHSSMMBN 0.21/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.21/0.52 # Starting new_ho_10 with 65s (1) cores 0.21/0.52 # new_ho_10 with pid 19896 completed with status 0 0.21/0.52 # Result found by new_ho_10 0.21/0.52 # Preprocessing class: HSMSSMSSMLSNHSN. 0.21/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.21/0.52 # Starting new_ho_10_cnf2 with 600s (5) cores 0.21/0.52 # Starting post_as_ho3 with 120s (1) cores 0.21/0.52 # Starting post_as_ho11 with 120s (1) cores 0.21/0.52 # No SInE strategy applied 0.21/0.52 # Search class: HGUNF-FFSF22-SHSSMMBN 0.21/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.21/0.52 # Starting new_ho_10 with 65s (1) cores 0.21/0.52 # Preprocessing time : 0.002 s 0.21/0.52 # Presaturation interreduction done 0.21/0.52 0.21/0.52 # Proof found! 0.21/0.52 # SZS status Theorem 0.21/0.52 # SZS output start CNFRefutation 0.21/0.52 thf(decl_22, type, current_world: $i). 0.21/0.52 thf(decl_23, type, prop_a: $i > $o). 0.21/0.52 thf(decl_24, type, prop_b: $i > $o). 0.21/0.52 thf(decl_25, type, prop_c: $i > $o). 0.21/0.52 thf(decl_26, type, mfalse: $i > $o). 0.21/0.52 thf(decl_27, type, mtrue: $i > $o). 0.21/0.52 thf(decl_28, type, mnot: ($i > $o) > $i > $o). 0.21/0.52 thf(decl_29, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_30, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_31, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_32, type, miff: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_33, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_34, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_35, type, mall: (individuals > $i > $o) > $i > $o). 0.21/0.52 thf(decl_36, type, mexists: (individuals > $i > $o) > $i > $o). 0.21/0.52 thf(decl_37, type, mvalid: ($i > $o) > $o). 0.21/0.52 thf(decl_38, type, msatisfiable: ($i > $o) > $o). 0.21/0.52 thf(decl_39, type, mcountersatisfiable: ($i > $o) > $o). 0.21/0.52 thf(decl_40, type, minvalid: ($i > $o) > $o). 0.21/0.52 thf(decl_41, type, reli: $i > $i > $o). 0.21/0.52 thf(decl_42, type, relr: $i > $i > $o). 0.21/0.52 thf(decl_43, type, cs4_atom: ($i > $o) > $i > $o). 0.21/0.52 thf(decl_44, type, cs4_and: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_45, type, cs4_or: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_46, type, cs4_impl: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.52 thf(decl_47, type, cs4_true: $i > $o). 0.21/0.52 thf(decl_48, type, cs4_false: $i > $o). 0.21/0.52 thf(decl_49, type, cs4_all: (individuals > $i > $o) > $i > $o). 0.21/0.52 thf(decl_50, type, cs4_box: ($i > $o) > $i > $o). 0.21/0.52 thf(decl_51, type, cs4_valid: ($i > $o) > $o). 0.21/0.52 thf(decl_52, type, esk1_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_53, type, esk2_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_54, type, esk3_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_55, type, esk4_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_56, type, esk5_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_57, type, esk6_2: ($i > $o) > $i > $i). 0.21/0.52 thf(decl_58, type, epred1_0: $i > $o). 0.21/0.52 thf(decl_59, type, esk7_0: $i). 0.21/0.52 thf(decl_60, type, esk8_0: $i). 0.21/0.52 thf(decl_61, type, esk9_0: $i). 0.21/0.52 thf(mimpl, axiom, ((mimpl)=(^[X7:$i > $o, X8:$i > $o]:(mor @ (mnot @ X7) @ X8))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax', mimpl)). 0.21/0.52 thf(mnot, axiom, ((mnot)=(^[X2:$i > $o, X3:$i]:(~((X2 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax', mnot)). 0.21/0.52 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax', mor)). 0.21/0.52 thf(cs4_atom, axiom, ((cs4_atom)=(^[X11:$i > $o]:(mbox @ reli @ X11))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax', cs4_atom)). 0.21/0.52 thf(mbox, axiom, ((mbox)=(^[X10:$i > $i > $o, X11:$i > $o, X1:$i]:(![X12:$i]:(((X10 @ X1 @ X12)=>(X11 @ X12)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax', mbox)). 0.21/0.52 thf(cs4_impl, axiom, ((cs4_impl)=(^[X19:$i > $o, X20:$i > $o]:(mbox @ reli @ (mimpl @ X19 @ X20)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax', cs4_impl)). 0.21/0.52 thf(cs4_box, axiom, ((cs4_box)=(^[X19:$i > $o]:(mbox @ reli @ (mbox @ relr @ X19)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax', cs4_box)). 0.21/0.52 thf(cs4_valid_def, axiom, ((cs4_valid)=(^[X19:$i > $o]:((mvalid @ X19)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax', cs4_valid_def)). 0.21/0.52 thf(mvalid, axiom, ((mvalid)=(^[X11:$i > $o]:(![X15:$i]:((X11 @ X15))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax', mvalid)). 0.21/0.52 thf(cs4_refl, conjecture, ![X19:$i > $o]:((cs4_valid @ (cs4_impl @ (cs4_box @ (cs4_atom @ X19)) @ (cs4_atom @ X19)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cs4_refl)). 0.21/0.52 thf(refl_axiom_r, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ relr @ X19) @ X19))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax', refl_axiom_r)). 0.21/0.52 thf(refl_axiom_i, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ reli @ X19) @ X19))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax', refl_axiom_i)). 0.21/0.52 thf(c_0_12, plain, ((mimpl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimpl])). 0.21/0.52 thf(c_0_13, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.21/0.52 thf(c_0_14, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.21/0.52 thf(c_0_15, plain, ((cs4_atom)=(^[Z0:$i > $o, Z1:$i]:(![X28:$i]:(((reli @ Z1 @ X28)=>(Z0 @ X28)))))), inference(fof_simplification,[status(thm)],[cs4_atom])). 0.21/0.52 thf(c_0_16, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X12:$i]:(((Z0 @ Z2 @ X12)=>(Z1 @ X12)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.21/0.52 thf(c_0_17, plain, ((cs4_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X29:$i]:(((reli @ Z2 @ X29)=>(((~((Z0 @ X29)))|(Z1 @ X29)))))))), inference(fof_simplification,[status(thm)],[cs4_impl])). 0.21/0.52 thf(c_0_18, plain, ((mimpl)=(^[Z0:$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])). 0.21/0.52 thf(c_0_19, plain, ((cs4_box)=(^[Z0:$i > $o, Z1:$i]:(![X33:$i]:(((reli @ Z1 @ X33)=>(![X32:$i]:(((relr @ X33 @ X32)=>(Z0 @ X32))))))))), inference(fof_simplification,[status(thm)],[cs4_box])). 0.21/0.52 thf(c_0_20, plain, ((cs4_valid)=(^[Z0:$i > $o]:((![X34:$i]:((Z0 @ X34)))))), inference(fof_simplification,[status(thm)],[cs4_valid_def])). 0.21/0.52 thf(c_0_21, plain, ((mvalid)=(^[Z0:$i > $o]:(![X15:$i]:((Z0 @ X15))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.21/0.52 thf(c_0_22, plain, ((cs4_atom)=(^[Z0:$i > $o, Z1:$i]:(![X28:$i]:(((reli @ Z1 @ X28)=>(Z0 @ X28)))))), inference(apply_def,[status(thm)],[c_0_15, c_0_16])). 0.21/0.52 thf(c_0_23, plain, ((cs4_impl)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(![X29:$i]:(((reli @ Z2 @ X29)=>(((~((Z0 @ X29)))|(Z1 @ X29)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_18]), c_0_16])). 0.21/0.52 thf(c_0_24, plain, ((cs4_box)=(^[Z0:$i > $o, Z1:$i]:(![X33:$i]:(((reli @ Z1 @ X33)=>(![X32:$i]:(((relr @ X33 @ X32)=>(Z0 @ X32))))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_16])). 0.21/0.52 thf(c_0_25, plain, ((cs4_valid)=(^[Z0:$i > $o]:((![X34:$i]:((Z0 @ X34)))))), inference(apply_def,[status(thm)],[c_0_20, c_0_21])). 0.21/0.52 thf(c_0_26, negated_conjecture, ~(![X19:$i > $o, X57:$i, X56:$i]:(((reli @ X57 @ X56)=>(~(![X53:$i]:(((reli @ X56 @ X53)=>![X54:$i]:(((relr @ X53 @ X54)=>![X52:$i]:(((reli @ X54 @ X52)=>(X19 @ X52))))))))|![X55:$i]:(((reli @ X56 @ X55)=>(X19 @ X55))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cs4_refl]), c_0_22]), c_0_23]), c_0_24]), c_0_25])). 0.21/0.52 thf(c_0_27, plain, ![X19:$i > $o, X36:$i]:((~(![X35:$i]:(((relr @ X36 @ X35)=>(X19 @ X35))))|(X19 @ X36))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_r, c_0_18]), c_0_16]), c_0_21])). 0.21/0.52 thf(c_0_28, plain, ![X19:$i > $o, X47:$i]:((~(![X46:$i]:(((reli @ X47 @ X46)=>(X19 @ X46))))|(X19 @ X47))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_i, c_0_18]), c_0_16]), c_0_21])). 0.21/0.52 thf(c_0_29, negated_conjecture, ![X83:$i, X84:$i, X85:$i]:(((reli @ esk7_0 @ esk8_0)&((~(reli @ esk8_0 @ X83)|(~(relr @ X83 @ X84)|(~(reli @ X84 @ X85)|(epred1_0 @ X85))))&((reli @ esk8_0 @ esk9_0)&~(epred1_0 @ esk9_0))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])). 0.21/0.52 thf(c_0_30, plain, ![X58:$i > $o, X59:$i]:((((relr @ X59 @ (esk1_2 @ X58 @ X59))|(X58 @ X59))&(~(X58 @ (esk1_2 @ X58 @ X59))|(X58 @ X59)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])). 0.21/0.52 thf(c_0_31, plain, ![X72:$i > $o, X73:$i]:((((reli @ X73 @ (esk5_2 @ X72 @ X73))|(X72 @ X73))&(~(X72 @ (esk5_2 @ X72 @ X73))|(X72 @ X73)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])). 0.21/0.52 thf(c_0_32, negated_conjecture, ![X1:$i, X3:$i, X12:$i]:(((epred1_0 @ X12)|~((reli @ esk8_0 @ X1))|~((relr @ X1 @ X3))|~((reli @ X3 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.21/0.52 thf(c_0_33, negated_conjecture, (reli @ esk8_0 @ esk9_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.21/0.52 thf(c_0_34, negated_conjecture, ~((epred1_0 @ esk9_0)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.21/0.52 thf(c_0_35, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk1_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.21/0.52 thf(c_0_36, plain, ![X2:$i > $o, X1:$i]:(((relr @ X1 @ (esk1_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.21/0.52 thf(c_0_37, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk5_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.21/0.52 thf(c_0_38, plain, ![X2:$i > $o, X1:$i]:(((reli @ X1 @ (esk5_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.21/0.52 thf(c_0_39, negated_conjecture, ![X1:$i]:((~((reli @ esk8_0 @ X1))|~((relr @ X1 @ esk8_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])). 0.21/0.52 thf(c_0_40, plain, ![X1:$i]:((relr @ X1 @ X1)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.21/0.52 thf(c_0_41, plain, ![X1:$i]:((reli @ X1 @ X1)), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.21/0.52 thf(c_0_42, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])]), ['proof']). 0.21/0.52 # SZS output end CNFRefutation 0.21/0.52 # Parsed axioms : 61 0.21/0.52 # Removed by relevancy pruning/SinE : 0 0.21/0.52 # Initial clauses : 46 0.21/0.52 # Removed in clause preprocessing : 31 0.21/0.52 # Initial clauses in saturation : 15 0.21/0.52 # Processed clauses : 34 0.21/0.52 # ...of these trivial : 0 0.21/0.52 # ...subsumed : 0 0.21/0.52 # ...remaining for further processing : 34 0.21/0.52 # Other redundant clauses eliminated : 0 0.21/0.52 # Clauses deleted for lack of memory : 0 0.21/0.52 # Backward-subsumed : 0 0.21/0.52 # Backward-rewritten : 0 0.21/0.52 # Generated clauses : 28 0.21/0.52 # ...of the previous two non-redundant : 22 0.21/0.52 # ...aggressively subsumed : 0 0.21/0.52 # Contextual simplify-reflections : 0 0.21/0.52 # Paramodulations : 28 0.21/0.52 # Factorizations : 0 0.21/0.52 # NegExts : 0 0.21/0.52 # Equation resolutions : 0 0.21/0.52 # Propositional unsat checks : 0 0.21/0.52 # Propositional check models : 0 0.21/0.52 # Propositional check unsatisfiable : 0 0.21/0.52 # Propositional clauses : 0 0.21/0.52 # Propositional clauses after purity: 0 0.21/0.52 # Propositional unsat core size : 0 0.21/0.52 # Propositional preprocessing time : 0.000 0.21/0.52 # Propositional encoding time : 0.000 0.21/0.52 # Propositional solver time : 0.000 0.21/0.52 # Success case prop preproc time : 0.000 0.21/0.52 # Success case prop encoding time : 0.000 0.21/0.52 # Success case prop solver time : 0.000 0.21/0.52 # Current number of processed clauses : 19 0.21/0.52 # Positive orientable unit clauses : 4 0.21/0.52 # Positive unorientable unit clauses: 0 0.21/0.52 # Negative unit clauses : 1 0.21/0.52 # Non-unit-clauses : 14 0.21/0.52 # Current number of unprocessed clauses: 18 0.21/0.52 # ...number of literals in the above : 62 0.21/0.52 # Current number of archived formulas : 0 0.21/0.52 # Current number of archived clauses : 15 0.21/0.52 # Clause-clause subsumption calls (NU) : 200 0.21/0.52 # Rec. Clause-clause subsumption calls : 95 0.21/0.52 # Non-unit clause-clause subsumptions : 0 0.21/0.52 # Unit Clause-clause subsumption calls : 5 0.21/0.52 # Rewrite failures with RHS unbound : 0 0.21/0.52 # BW rewrite match attempts : 15 0.21/0.52 # BW rewrite match successes : 0 0.21/0.52 # Condensation attempts : 34 0.21/0.52 # Condensation successes : 0 0.21/0.52 # Termbank termtop insertions : 3881 0.21/0.52 0.21/0.52 # ------------------------------------------------- 0.21/0.52 # User time : 0.008 s 0.21/0.52 # System time : 0.002 s 0.21/0.52 # Total time : 0.010 s 0.21/0.52 # Maximum resident set size: 1908 pages 0.21/0.52 0.21/0.52 # ------------------------------------------------- 0.21/0.52 # User time : 0.009 s 0.21/0.52 # System time : 0.005 s 0.21/0.52 # Total time : 0.014 s 0.21/0.52 # Maximum resident set size: 1780 pages 0.21/0.52 EOF