0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n025.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 03:51:56 EDT 2022 0.12/0.33 % CPUTime : 0.19/0.46 Running higher-order on 8 cores theorem proving 0.19/0.46 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 0.19/0.46 # Version: 3.0pre003-ho 0.19/0.48 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.48 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.48 # Starting post_as_ho3 with 120s (1) cores 0.19/0.48 # Starting new_ho_12 with 120s (1) cores 0.19/0.48 # Starting new_bool_2 with 120s (1) cores 0.19/0.48 # post_as_ho3 with pid 21381 completed with status 0 0.19/0.48 # Result found by post_as_ho3 0.19/0.48 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.48 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.48 # Starting post_as_ho3 with 120s (1) cores 0.19/0.48 # No SInE strategy applied 0.19/0.48 # Search class: HGHNM-FFMF21-SHSSMFNN 0.19/0.48 # partial match(1): HGHNM-FFMF31-SHSSMFNN 0.19/0.48 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.48 # Starting new_ho_10 with 65s (1) cores 0.19/0.48 # new_ho_10 with pid 21386 completed with status 0 0.19/0.48 # Result found by new_ho_10 0.19/0.48 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.19/0.48 # Starting new_ho_10_cnf2 with 600s (5) cores 0.19/0.48 # Starting post_as_ho3 with 120s (1) cores 0.19/0.48 # No SInE strategy applied 0.19/0.48 # Search class: HGHNM-FFMF21-SHSSMFNN 0.19/0.48 # partial match(1): HGHNM-FFMF31-SHSSMFNN 0.19/0.48 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.19/0.48 # Starting new_ho_10 with 65s (1) cores 0.19/0.48 # Preprocessing time : 0.002 s 0.19/0.48 # Presaturation interreduction done 0.19/0.48 0.19/0.48 # Proof found! 0.19/0.48 # SZS status Theorem 0.19/0.48 # SZS output start CNFRefutation 0.19/0.48 thf(decl_22, type, qmltpeq: mu > mu > $i > $o). 0.19/0.48 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.19/0.48 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_26, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_27, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.19/0.48 thf(decl_28, type, mtrue: $i > $o). 0.19/0.48 thf(decl_29, type, mfalse: $i > $o). 0.19/0.48 thf(decl_30, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_31, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_32, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_33, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_34, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_35, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.19/0.48 thf(decl_36, type, exists_in_world: mu > $i > $o). 0.19/0.48 thf(decl_37, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.19/0.48 thf(decl_38, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.19/0.48 thf(decl_39, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.19/0.48 thf(decl_40, type, mreflexive: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_41, type, msymmetric: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_42, type, mserial: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_43, type, mtransitive: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_44, type, meuclidean: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_45, type, mpartially_functional: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_46, type, mfunctional: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_47, type, mweakly_dense: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_48, type, mweakly_connected: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_49, type, mweakly_directed: ($i > $i > $o) > $o). 0.19/0.48 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.19/0.48 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.19/0.48 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.19/0.48 thf(decl_53, type, minvalid: ($i > $o) > $o). 0.19/0.48 thf(decl_54, type, rel_s4: $i > $i > $o). 0.19/0.48 thf(decl_55, type, mbox_s4: ($i > $o) > $i > $o). 0.19/0.48 thf(decl_56, type, mdia_s4: ($i > $o) > $i > $o). 0.19/0.48 thf(decl_57, type, in: mu > mu > $i > $o). 0.19/0.48 thf(decl_58, type, empty: mu > $i > $o). 0.19/0.48 thf(decl_59, type, empty_set: mu). 0.19/0.48 thf(decl_60, type, singleton: mu > mu). 0.19/0.48 thf(decl_61, type, set_difference: mu > mu > mu). 0.19/0.48 thf(decl_62, type, esk1_1: $i > mu). 0.19/0.48 thf(decl_63, type, esk2_0: $i). 0.19/0.48 thf(decl_64, type, esk3_0: mu). 0.19/0.48 thf(decl_65, type, esk4_0: mu). 0.19/0.48 thf(decl_66, type, esk5_1: $i > mu). 0.19/0.48 thf(decl_67, type, esk6_1: $i > mu). 0.19/0.48 thf(mand, axiom, ((mand)=(^[X4:$i > $o, X5:$i > $o]:(mnot @ (mor @ (mnot @ X4) @ (mnot @ X5))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mand)). 0.19/0.48 thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X3:$i]:(~((X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mnot)). 0.19/0.48 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mor)). 0.19/0.48 thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mimplies)). 0.19/0.48 thf(mequiv, axiom, ((mequiv)=(^[X4:$i > $o, X5:$i > $o]:(mand @ (mimplies @ X4 @ X5) @ (mimplies @ X5 @ X4)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mequiv)). 0.19/0.48 thf(mforall_ind, axiom, ((mforall_ind)=(^[X10:mu > $i > $o, X3:$i]:(![X11:mu]:(((exists_in_world @ X11 @ X3)=>(X10 @ X11 @ X3)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mforall_ind)). 0.19/0.48 thf(mvalid, axiom, ((mvalid)=(^[X4:$i > $o]:(![X3:$i]:((X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mvalid)). 0.19/0.48 thf(t69_zfmisc_1, conjecture, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mor @ (qmltpeq @ (set_difference @ (singleton @ X20) @ X21) @ empty_set) @ (qmltpeq @ (set_difference @ (singleton @ X20) @ X21) @ (singleton @ X20)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t69_zfmisc_1)). 0.19/0.48 thf(l34_zfmisc_1, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mequiv @ (qmltpeq @ (set_difference @ (singleton @ X20) @ X21) @ (singleton @ X20)) @ (mnot @ (in @ X20 @ X21)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l34_zfmisc_1)). 0.19/0.48 thf(l36_zfmisc_1, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mequiv @ (qmltpeq @ (set_difference @ (singleton @ X20) @ X21) @ empty_set) @ (in @ X20 @ X21))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l36_zfmisc_1)). 0.19/0.48 thf(c_0_10, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])). 0.19/0.48 thf(c_0_11, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.19/0.48 thf(c_0_12, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.19/0.48 thf(c_0_13, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.19/0.48 thf(c_0_14, plain, ((mequiv)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((((~((Z0 @ Z2)))|(Z1 @ Z2)))))|(~((((~((Z1 @ Z2)))|(Z0 @ Z2))))))))))), inference(fof_simplification,[status(thm)],[mequiv])). 0.19/0.48 thf(c_0_15, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10, c_0_11]), c_0_12])). 0.19/0.48 thf(c_0_16, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13, c_0_11]), c_0_12])). 0.19/0.48 thf(c_0_17, plain, ((mforall_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(![X11:mu]:(((exists_in_world @ X11 @ Z1)=>(Z0 @ X11 @ Z1)))))), inference(fof_simplification,[status(thm)],[mforall_ind])). 0.19/0.48 thf(c_0_18, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.19/0.48 thf(c_0_19, plain, ((mequiv)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((((~((Z0 @ Z2)))|(Z1 @ Z2)))))|(~((((~((Z1 @ Z2)))|(Z0 @ Z2))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_15]), c_0_16])). 0.19/0.48 thf(c_0_20, negated_conjecture, ~(![X68:$i, X67:mu]:(((exists_in_world @ X67 @ X68)=>![X66:mu]:(((exists_in_world @ X66 @ X68)=>((qmltpeq @ (set_difference @ (singleton @ X67) @ X66) @ empty_set @ X68)|(qmltpeq @ (set_difference @ (singleton @ X67) @ X66) @ (singleton @ X67) @ X68))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t69_zfmisc_1])]), c_0_12]), c_0_17]), c_0_18])). 0.19/0.48 thf(c_0_21, plain, ![X83:$i, X82:mu]:(((exists_in_world @ X82 @ X83)=>![X81:mu]:(((exists_in_world @ X81 @ X83)=>~((~((~(qmltpeq @ (set_difference @ (singleton @ X82) @ X81) @ (singleton @ X82) @ X83)|~(in @ X82 @ X81 @ X83)))|~(((in @ X82 @ X81 @ X83)|(qmltpeq @ (set_difference @ (singleton @ X82) @ X81) @ (singleton @ X82) @ X83))))))))), 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)],[l34_zfmisc_1]), c_0_11]), c_0_19]), c_0_17]), c_0_18])])). 0.19/0.48 thf(c_0_22, plain, ![X97:$i, X96:mu]:(((exists_in_world @ X96 @ X97)=>![X95:mu]:(((exists_in_world @ X95 @ X97)=>~((~((~(qmltpeq @ (set_difference @ (singleton @ X96) @ X95) @ empty_set @ X97)|(in @ X96 @ X95 @ X97)))|~((~(in @ X96 @ X95 @ X97)|(qmltpeq @ (set_difference @ (singleton @ X96) @ X95) @ empty_set @ X97))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[l36_zfmisc_1]), c_0_19]), c_0_17]), c_0_18])])). 0.19/0.48 thf(c_0_23, negated_conjecture, ((exists_in_world @ esk3_0 @ esk2_0)&((exists_in_world @ esk4_0 @ esk2_0)&(~(qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ empty_set @ esk2_0)&~(qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ (singleton @ esk3_0) @ esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])). 0.19/0.48 thf(c_0_24, plain, ![X142:$i, X143:mu, X144:mu]:(((~(qmltpeq @ (set_difference @ (singleton @ X143) @ X144) @ (singleton @ X143) @ X142)|~(in @ X143 @ X144 @ X142)|~(exists_in_world @ X144 @ X142)|~(exists_in_world @ X143 @ X142))&((in @ X143 @ X144 @ X142)|(qmltpeq @ (set_difference @ (singleton @ X143) @ X144) @ (singleton @ X143) @ X142)|~(exists_in_world @ X144 @ X142)|~(exists_in_world @ X143 @ X142)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])). 0.19/0.48 thf(c_0_25, plain, ![X158:$i, X159:mu, X160:mu]:(((~(qmltpeq @ (set_difference @ (singleton @ X159) @ X160) @ empty_set @ X158)|(in @ X159 @ X160 @ X158)|~(exists_in_world @ X160 @ X158)|~(exists_in_world @ X159 @ X158))&(~(in @ X159 @ X160 @ X158)|(qmltpeq @ (set_difference @ (singleton @ X159) @ X160) @ empty_set @ X158)|~(exists_in_world @ X160 @ X158)|~(exists_in_world @ X159 @ X158)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])). 0.19/0.48 thf(c_0_26, negated_conjecture, ~((qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ (singleton @ esk3_0) @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])). 0.19/0.48 thf(c_0_27, plain, ![X13:mu, X11:mu, X3:$i]:(((in @ X11 @ X13 @ X3)|(qmltpeq @ (set_difference @ (singleton @ X11) @ X13) @ (singleton @ X11) @ X3)|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X11 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.19/0.48 thf(c_0_28, negated_conjecture, (exists_in_world @ esk4_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_23])). 0.19/0.48 thf(c_0_29, negated_conjecture, (exists_in_world @ esk3_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_23])). 0.19/0.48 thf(c_0_30, negated_conjecture, ~((qmltpeq @ (set_difference @ (singleton @ esk3_0) @ esk4_0) @ empty_set @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])). 0.19/0.48 thf(c_0_31, plain, ![X13:mu, X11:mu, X3:$i]:(((qmltpeq @ (set_difference @ (singleton @ X11) @ X13) @ empty_set @ X3)|~((in @ X11 @ X13 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X11 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.19/0.48 thf(c_0_32, negated_conjecture, (in @ esk3_0 @ esk4_0 @ esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28]), c_0_29])])). 0.19/0.48 thf(c_0_33, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_28]), c_0_29])]), c_0_32])]), ['proof']). 0.19/0.48 # SZS output end CNFRefutation 0.19/0.48 # Parsed axioms : 96 0.19/0.48 # Removed by relevancy pruning/SinE : 0 0.19/0.48 # Initial clauses : 71 0.19/0.48 # Removed in clause preprocessing : 41 0.19/0.48 # Initial clauses in saturation : 30 0.19/0.48 # Processed clauses : 59 0.19/0.48 # ...of these trivial : 0 0.19/0.48 # ...subsumed : 0 0.19/0.48 # ...remaining for further processing : 58 0.19/0.48 # Other redundant clauses eliminated : 0 0.19/0.48 # Clauses deleted for lack of memory : 0 0.19/0.48 # Backward-subsumed : 0 0.19/0.48 # Backward-rewritten : 0 0.19/0.48 # Generated clauses : 22 0.19/0.48 # ...of the previous two non-redundant : 15 0.19/0.48 # ...aggressively subsumed : 0 0.19/0.48 # Contextual simplify-reflections : 0 0.19/0.48 # Paramodulations : 22 0.19/0.48 # Factorizations : 0 0.19/0.48 # NegExts : 0 0.19/0.48 # Equation resolutions : 0 0.19/0.48 # Propositional unsat checks : 0 0.19/0.48 # Propositional check models : 0 0.19/0.48 # Propositional check unsatisfiable : 0 0.19/0.48 # Propositional clauses : 0 0.19/0.48 # Propositional clauses after purity: 0 0.19/0.48 # Propositional unsat core size : 0 0.19/0.48 # Propositional preprocessing time : 0.000 0.19/0.48 # Propositional encoding time : 0.000 0.19/0.48 # Propositional solver time : 0.000 0.19/0.48 # Success case prop preproc time : 0.000 0.19/0.48 # Success case prop encoding time : 0.000 0.19/0.48 # Success case prop solver time : 0.000 0.19/0.48 # Current number of processed clauses : 28 0.19/0.48 # Positive orientable unit clauses : 12 0.19/0.48 # Positive unorientable unit clauses: 0 0.19/0.48 # Negative unit clauses : 3 0.19/0.48 # Non-unit-clauses : 13 0.19/0.48 # Current number of unprocessed clauses: 16 0.19/0.48 # ...number of literals in the above : 78 0.19/0.48 # Current number of archived formulas : 0 0.19/0.48 # Current number of archived clauses : 30 0.19/0.48 # Clause-clause subsumption calls (NU) : 145 0.19/0.48 # Rec. Clause-clause subsumption calls : 56 0.19/0.48 # Non-unit clause-clause subsumptions : 0 0.19/0.48 # Unit Clause-clause subsumption calls : 4 0.19/0.48 # Rewrite failures with RHS unbound : 0 0.19/0.48 # BW rewrite match attempts : 0 0.19/0.48 # BW rewrite match successes : 0 0.19/0.48 # Condensation attempts : 59 0.19/0.48 # Condensation successes : 0 0.19/0.48 # Termbank termtop insertions : 8320 0.19/0.48 0.19/0.48 # ------------------------------------------------- 0.19/0.48 # User time : 0.009 s 0.19/0.48 # System time : 0.005 s 0.19/0.48 # Total time : 0.015 s 0.19/0.48 # Maximum resident set size: 2384 pages 0.19/0.48 0.19/0.48 # ------------------------------------------------- 0.19/0.48 # User time : 0.012 s 0.19/0.48 # System time : 0.008 s 0.19/0.48 # Total time : 0.019 s 0.19/0.48 # Maximum resident set size: 1832 pages 0.19/0.48 EOF