0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.09/0.30 % Computer : n017.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1920 0.09/0.30 % WCLimit : 240 0.09/0.30 % DateTime : Wed Jul 30 02:16:19 EDT 2025 0.09/0.30 % CPUTime : 0.15/0.42 Running higher-order theorem proving 0.15/0.42 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.n25bNNkNxa/E---3.1_20215.p 0.15/0.44 # Version: 3.0.0-ho 0.15/0.44 # Preprocessing class: HSMSSMSSMLSNHSN. 0.15/0.44 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.44 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.15/0.44 # Starting post_as_ho3 with 240s (1) cores 0.15/0.44 # Starting post_as_ho11 with 240s (1) cores 0.15/0.44 # Starting full_lambda_8 with 240s (1) cores 0.15/0.44 # post_as_ho11 with pid 20304 completed with status 0 0.15/0.44 # Result found by post_as_ho11 0.15/0.44 # Preprocessing class: HSMSSMSSMLSNHSN. 0.15/0.44 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.44 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.15/0.44 # Starting post_as_ho3 with 240s (1) cores 0.15/0.44 # Starting post_as_ho11 with 240s (1) cores 0.15/0.44 # No SInE strategy applied 0.15/0.44 # Search class: HGUNF-FFSS22-SHSSMSBN 0.15/0.44 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.15/0.44 # Starting new_ho_10 with 130s (1) cores 0.15/0.44 # new_ho_10 with pid 20307 completed with status 0 0.15/0.44 # Result found by new_ho_10 0.15/0.44 # Preprocessing class: HSMSSMSSMLSNHSN. 0.15/0.44 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.15/0.44 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.15/0.44 # Starting post_as_ho3 with 240s (1) cores 0.15/0.44 # Starting post_as_ho11 with 240s (1) cores 0.15/0.44 # No SInE strategy applied 0.15/0.44 # Search class: HGUNF-FFSS22-SHSSMSBN 0.15/0.44 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.15/0.44 # Starting new_ho_10 with 130s (1) cores 0.15/0.44 # Preprocessing time : 0.001 s 0.15/0.44 # Presaturation interreduction done 0.15/0.44 0.15/0.44 # Proof found! 0.15/0.44 # SZS status Theorem 0.15/0.44 # SZS output start CNFRefutation 0.15/0.44 thf(decl_29, type, mnot: ($i > $o) > $i > $o). 0.15/0.44 thf(decl_30, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.44 thf(decl_32, type, mimpl: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.44 thf(decl_34, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.15/0.44 thf(decl_38, type, mvalid: ($i > $o) > $o). 0.15/0.44 thf(decl_42, type, rel: $i > $i > $o). 0.15/0.44 thf(decl_44, type, icl_princ: ($i > $o) > $i > $o). 0.15/0.44 thf(decl_47, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.44 thf(decl_50, type, icl_says: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.44 thf(decl_51, type, iclval: ($i > $o) > $o). 0.15/0.44 thf(decl_52, type, icl_impl_princ: ($i > $o) > ($i > $o) > $i > $o). 0.15/0.44 thf(decl_53, type, a: $i > $o). 0.15/0.44 thf(decl_54, type, b: $i > $o). 0.15/0.44 thf(decl_56, type, esk2_2: ($i > $o) > $i > $i). 0.15/0.44 thf(decl_57, type, esk3_0: $i). 0.15/0.44 thf(decl_58, type, esk4_0: $i). 0.15/0.44 thf(decl_59, type, esk5_0: $i). 0.15/0.44 thf(mimpl, axiom, ((mimpl)=(^[X7:$i > $o, X8:$i > $o]:(mor @ (mnot @ X7) @ X8))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', mimpl)). 0.15/0.44 thf(mnot, axiom, ((mnot)=(^[X2:$i > $o, X3:$i]:(~((X2 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', mnot)). 0.15/0.44 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', mor)). 0.15/0.44 thf(icl_impl, axiom, ((icl_impl)=(^[X19:$i > $o, X20:$i > $o]:(mbox @ rel @ (mimpl @ X19 @ X20)))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', icl_impl)). 0.15/0.44 thf(mbox, axiom, ((mbox)=(^[X10:$i > $i > $o, X11:$i > $o, X1:$i]:(![X12:$i]:(((X10 @ X1 @ X12)=>(X11 @ X12)))))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', mbox)). 0.15/0.44 thf(icl_says, axiom, ((icl_says)=(^[X19:$i > $o, X21:$i > $o]:(mbox @ rel @ (mor @ X19 @ X21)))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', icl_says)). 0.15/0.44 thf(icl_s4_valid, axiom, ((iclval)=(^[X22:$i > $o]:((mvalid @ X22)))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', icl_s4_valid)). 0.15/0.44 thf(mvalid, axiom, ((mvalid)=(^[X11:$i > $o]:(![X15:$i]:((X11 @ X15))))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', mvalid)). 0.15/0.44 thf(icl_impl_princ, axiom, ((icl_impl_princ)=(^[X19:$i > $o, X20:$i > $o]:(mbox @ rel @ (mimpl @ X19 @ X20)))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', icl_impl_princ)). 0.15/0.44 thf(icl_princ, axiom, ((icl_princ)=(^[X11:$i > $o]:(X11))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', icl_princ)). 0.15/0.44 thf(handoff, conjecture, (iclval @ (icl_impl @ (icl_says @ (icl_princ @ b) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b))) @ (icl_impl_princ @ (icl_princ @ a) @ (icl_princ @ b)))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', handoff)). 0.15/0.44 thf(refl_axiom, axiom, ![X19:$i > $o]:((mvalid @ (mimpl @ (mbox @ rel @ X19) @ X19))), file('/export/starexec/sandbox2/tmp/tmp.n25bNNkNxa/E---3.1_20215.p', refl_axiom)). 0.15/0.44 thf(c_0_12, plain, ((mimpl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimpl])). 0.15/0.44 thf(c_0_13, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.15/0.44 thf(c_0_14, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.15/0.44 thf(c_0_15, plain, ((icl_impl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X26:$i]:(((rel @ Z2 @ X26)=>(((~((Z0 @ X26)))|(Z1 @ X26)))))))), inference(fof_simplification,[status(thm)],[icl_impl])). 0.15/0.44 thf(c_0_16, plain, ((mimpl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_13]), c_0_14])). 0.15/0.44 thf(c_0_17, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X12:$i]:(((Z0 @ Z2 @ X12)=>(Z1 @ X12)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.15/0.44 thf(c_0_18, plain, ((icl_says)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X27:$i]:(((rel @ Z2 @ X27)=>(((Z0 @ X27)|(Z1 @ X27)))))))), inference(fof_simplification,[status(thm)],[icl_says])). 0.15/0.44 thf(c_0_19, plain, ((iclval)=(^[Z0/* 3 */:$i > $o]:((![X28:$i]:((Z0 @ X28)))))), inference(fof_simplification,[status(thm)],[icl_s4_valid])). 0.15/0.44 thf(c_0_20, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X15:$i]:((Z0 @ X15))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.15/0.44 thf(c_0_21, plain, ((icl_impl_princ)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X29:$i]:(((rel @ Z2 @ X29)=>(((~((Z0 @ X29)))|(Z1 @ X29)))))))), inference(fof_simplification,[status(thm)],[icl_impl_princ])). 0.15/0.44 thf(c_0_22, plain, ((icl_princ)=(^[Z0/* 0 */:$i > $o]:(Z0))), inference(fof_simplification,[status(thm)],[icl_princ])). 0.15/0.44 thf(c_0_23, plain, ((icl_impl)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X26:$i]:(((rel @ Z2 @ X26)=>(((~((Z0 @ X26)))|(Z1 @ X26)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_15, c_0_16]), c_0_17])). 0.15/0.44 thf(c_0_24, plain, ((icl_says)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X27:$i]:(((rel @ Z2 @ X27)=>(((Z0 @ X27)|(Z1 @ X27)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_14]), c_0_17])). 0.15/0.44 thf(c_0_25, plain, ((iclval)=(^[Z0/* 3 */:$i > $o]:((![X28:$i]:((Z0 @ X28)))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])). 0.15/0.44 thf(c_0_26, plain, ((icl_impl_princ)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(![X29:$i]:(((rel @ Z2 @ X29)=>(((~((Z0 @ X29)))|(Z1 @ X29)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_16]), c_0_17])). 0.15/0.44 thf(c_0_27, negated_conjecture, ~(![X40:$i, X39:$i]:(((rel @ X40 @ X39)=>(~(![X37:$i]:(((rel @ X39 @ X37)=>((b @ X37)|![X36:$i]:(((rel @ X37 @ X36)=>(~(a @ X36)|(b @ X36))))))))|![X38:$i]:(((rel @ X39 @ X38)=>(~(a @ X38)|(b @ X38)))))))), 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(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[handoff]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])). 0.15/0.44 thf(c_0_28, plain, ![X19:$i > $o, X35:$i]:((~(![X34:$i]:(((rel @ X35 @ X34)=>(X19 @ X34))))|(X19 @ X35))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom, c_0_16]), c_0_17]), c_0_20])). 0.15/0.44 thf(c_0_29, negated_conjecture, ![X51:$i, X52:$i]:(((rel @ esk3_0 @ esk4_0)&((~(rel @ esk4_0 @ X51)|((b @ X51)|(~(rel @ X51 @ X52)|(~(a @ X52)|(b @ X52)))))&((rel @ esk4_0 @ esk5_0)&((a @ esk5_0)&~(b @ esk5_0)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])). 0.15/0.44 thf(c_0_30, plain, ![X46:$i > $o, X47:$i]:((((rel @ X47 @ (esk2_2 @ X46 @ X47))|(X46 @ X47))&(~(X46 @ (esk2_2 @ X46 @ X47))|(X46 @ X47)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])])). 0.15/0.44 thf(c_0_31, negated_conjecture, ![X1:$i, X3:$i]:(((b @ X1)|(b @ X3)|~((rel @ esk4_0 @ X1))|~((rel @ X1 @ X3))|~((a @ X3)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.15/0.44 thf(c_0_32, negated_conjecture, (rel @ esk4_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.15/0.44 thf(c_0_33, negated_conjecture, ~((b @ esk5_0)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.15/0.44 thf(c_0_34, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|~((X2 @ (esk2_2 @ X2 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.15/0.44 thf(c_0_35, plain, ![X2:$i > $o, X1:$i]:(((rel @ X1 @ (esk2_2 @ X2 @ X1))|(X2 @ X1))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.15/0.44 thf(c_0_36, negated_conjecture, ![X1:$i]:(((b @ X1)|~((rel @ esk5_0 @ X1))|~((a @ X1)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])). 0.15/0.44 thf(c_0_37, plain, ![X1:$i]:((rel @ X1 @ X1)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.15/0.44 thf(c_0_38, negated_conjecture, (a @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.15/0.44 thf(c_0_39, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])]), c_0_33]), ['proof']). 0.15/0.44 # SZS output end CNFRefutation 0.15/0.44 # Parsed axioms : 61 0.15/0.44 # Removed by relevancy pruning/SinE : 0 0.15/0.44 # Initial clauses : 42 0.15/0.44 # Removed in clause preprocessing : 33 0.15/0.44 # Initial clauses in saturation : 9 0.15/0.44 # Processed clauses : 20 0.15/0.44 # ...of these trivial : 0 0.15/0.44 # ...subsumed : 0 0.15/0.44 # ...remaining for further processing : 20 0.15/0.44 # Other redundant clauses eliminated : 0 0.15/0.44 # Clauses deleted for lack of memory : 0 0.15/0.44 # Backward-subsumed : 0 0.15/0.44 # Backward-rewritten : 0 0.15/0.44 # Generated clauses : 14 0.15/0.44 # ...of the previous two non-redundant : 10 0.15/0.44 # ...aggressively subsumed : 0 0.15/0.44 # Contextual simplify-reflections : 0 0.15/0.44 # Paramodulations : 14 0.15/0.44 # Factorizations : 0 0.15/0.44 # NegExts : 0 0.15/0.44 # Equation resolutions : 0 0.15/0.44 # Disequality decompositions : 0 0.15/0.44 # Total rewrite steps : 1 0.15/0.44 # ...of those cached : 0 0.15/0.44 # Propositional unsat checks : 0 0.15/0.44 # Propositional check models : 0 0.15/0.44 # Propositional check unsatisfiable : 0 0.15/0.44 # Propositional clauses : 0 0.15/0.44 # Propositional clauses after purity: 0 0.15/0.44 # Propositional unsat core size : 0 0.15/0.44 # Propositional preprocessing time : 0.000 0.15/0.44 # Propositional encoding time : 0.000 0.15/0.44 # Propositional solver time : 0.000 0.15/0.44 # Success case prop preproc time : 0.000 0.15/0.44 # Success case prop encoding time : 0.000 0.15/0.44 # Success case prop solver time : 0.000 0.15/0.44 # Current number of processed clauses : 11 0.15/0.44 # Positive orientable unit clauses : 4 0.15/0.44 # Positive unorientable unit clauses: 0 0.15/0.44 # Negative unit clauses : 1 0.15/0.44 # Non-unit-clauses : 6 0.15/0.44 # Current number of unprocessed clauses: 8 0.15/0.44 # ...number of literals in the above : 28 0.15/0.44 # Current number of archived formulas : 0 0.15/0.44 # Current number of archived clauses : 9 0.15/0.44 # Clause-clause subsumption calls (NU) : 19 0.15/0.44 # Rec. Clause-clause subsumption calls : 4 0.15/0.44 # Non-unit clause-clause subsumptions : 0 0.15/0.44 # Unit Clause-clause subsumption calls : 2 0.15/0.44 # Rewrite failures with RHS unbound : 0 0.15/0.44 # BW rewrite match attempts : 11 0.15/0.44 # BW rewrite match successes : 0 0.15/0.44 # Condensation attempts : 20 0.15/0.44 # Condensation successes : 0 0.15/0.44 # Termbank termtop insertions : 2716 0.15/0.44 # Search garbage collected termcells : 664 0.15/0.44 0.15/0.44 # ------------------------------------------------- 0.15/0.44 # User time : 0.005 s 0.15/0.44 # System time : 0.001 s 0.15/0.44 # Total time : 0.006 s 0.15/0.44 # Maximum resident set size: 1876 pages 0.15/0.44 0.15/0.44 # ------------------------------------------------- 0.15/0.44 # User time : 0.007 s 0.15/0.44 # System time : 0.002 s 0.15/0.44 # Total time : 0.010 s 0.15/0.44 # Maximum resident set size: 1776 pages 0.15/0.44 % E exiting 0.15/0.44 % E exiting 0.15/0.44 EOF