0.02/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.08/0.28 % Computer : n003.cluster.edu 0.08/0.28 % Model : x86_64 x86_64 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.28 % Memory : 8042.1875MB 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.28 % CPULimit : 1920 0.08/0.28 % WCLimit : 240 0.08/0.28 % DateTime : Wed Jul 30 03:40:34 EDT 2025 0.08/0.28 % CPUTime : 0.14/0.38 Running higher-order theorem proving 0.14/0.39 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.HnypGisyQY/E---3.1_30844.p 0.14/0.40 # Version: 3.0.0-ho 0.14/0.40 # Preprocessing class: HSSSSMSSMLSNHHN. 0.14/0.40 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.40 # Starting new_ho_10 with 1200s (5) cores 0.14/0.40 # Starting pre_casc_5 with 240s (1) cores 0.14/0.40 # Starting post_as_ho11 with 240s (1) cores 0.14/0.40 # Starting ho_unfolding_1 with 240s (1) cores 0.14/0.40 # pre_casc_5 with pid 30923 completed with status 0 0.14/0.40 # Result found by pre_casc_5 0.14/0.40 # Preprocessing class: HSSSSMSSMLSNHHN. 0.14/0.40 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.40 # Starting new_ho_10 with 1200s (5) cores 0.14/0.40 # Starting pre_casc_5 with 240s (1) cores 0.14/0.40 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.14/0.40 # Search class: HGUNF-FFSF00-SHHSMFNN 0.14/0.40 # partial match(1): HGUNF-FFSF00-SHSSMFNN 0.14/0.40 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.14/0.40 # Starting new_ho_10 with 130s (1) cores 0.14/0.40 # new_ho_10 with pid 30926 completed with status 0 0.14/0.40 # Result found by new_ho_10 0.14/0.40 # Preprocessing class: HSSSSMSSMLSNHHN. 0.14/0.40 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.14/0.40 # Starting new_ho_10 with 1200s (5) cores 0.14/0.40 # Starting pre_casc_5 with 240s (1) cores 0.14/0.40 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.14/0.40 # Search class: HGUNF-FFSF00-SHHSMFNN 0.14/0.40 # partial match(1): HGUNF-FFSF00-SHSSMFNN 0.14/0.40 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.14/0.40 # Starting new_ho_10 with 130s (1) cores 0.14/0.40 # Preprocessing time : 0.001 s 0.14/0.40 # Presaturation interreduction done 0.14/0.40 0.14/0.40 # Proof found! 0.14/0.40 # SZS status Theorem 0.14/0.40 # SZS output start CNFRefutation 0.14/0.40 thf(decl_23, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.14/0.40 thf(decl_27, type, mono: (($i > $i > $o) > $i > $i > $o) > $o). 0.14/0.40 thf(decl_34, type, sc: ($i > $i > $o) > $i > $i > $o). 0.14/0.40 thf(decl_52, type, epred1_0: $i > $i > $o). 0.14/0.40 thf(decl_53, type, epred2_0: $i > $i > $o). 0.14/0.40 thf(decl_54, type, esk1_0: $i). 0.14/0.40 thf(decl_55, type, esk2_0: $i). 0.14/0.40 thf(monotonic, axiom, ((mono)=(^[X5:($i > $i > $o) > $i > $i > $o]:(![X1:$i > $i > $o, X2:$i > $i > $o]:(((subrel @ X1 @ X2)=>(subrel @ (X5 @ X1) @ (X5 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.HnypGisyQY/E---3.1_30844.p', monotonic)). 0.14/0.40 thf(subrel, axiom, ((subrel)=(^[X1:$i > $i > $o, X2:$i > $i > $o]:(![X3:$i, X4:$i]:(((X1 @ X3 @ X4)=>(X2 @ X3 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.HnypGisyQY/E---3.1_30844.p', subrel)). 0.14/0.40 thf(symmetric_closure, axiom, ((sc)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:(((X1 @ X4 @ X3)|(X1 @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.HnypGisyQY/E---3.1_30844.p', symmetric_closure)). 0.14/0.40 thf(symmetric_closure_op_is_monotonic, conjecture, (mono @ sc), file('/export/starexec/sandbox/tmp/tmp.HnypGisyQY/E---3.1_30844.p', symmetric_closure_op_is_monotonic)). 0.14/0.40 thf(c_0_4, plain, ((mono)=(^[Z0/* 6 */:($i > $i > $o) > $i > $i > $o]:(![X1:$i > $i > $o, X2:$i > $i > $o]:(((![X9:$i, X10:$i]:(((X1 @ X9 @ X10)=>(X2 @ X9 @ X10))))=>(![X11:$i, X12:$i]:(((Z0 @ X1 @ X11 @ X12)=>(Z0 @ X2 @ X11 @ X12))))))))), inference(fof_simplification,[status(thm)],[monotonic])). 0.14/0.40 thf(c_0_5, plain, ((subrel)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $i > $o]:(![X3:$i, X4:$i]:(((Z0 @ X3 @ X4)=>(Z1 @ X3 @ X4)))))), inference(fof_simplification,[status(thm)],[subrel])). 0.14/0.40 thf(c_0_6, plain, ((mono)=(^[Z0/* 6 */:($i > $i > $o) > $i > $i > $o]:(![X1:$i > $i > $o, X2:$i > $i > $o]:(((![X9:$i, X10:$i]:(((X1 @ X9 @ X10)=>(X2 @ X9 @ X10))))=>(![X11:$i, X12:$i]:(((Z0 @ X1 @ X11 @ X12)=>(Z0 @ X2 @ X11 @ X12))))))))), inference(apply_def,[status(thm)],[c_0_4, c_0_5])). 0.14/0.40 thf(c_0_7, plain, ((sc)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i, Z2:$i]:(((Z0 @ Z2 @ Z1)|(Z0 @ Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[symmetric_closure])). 0.14/0.40 thf(c_0_8, negated_conjecture, ~(![X81:$i > $i > $o, X82:$i > $i > $o]:((![X83:$i, X84:$i]:(((X81 @ X83 @ X84)=>(X82 @ X83 @ X84)))=>![X85:$i, X86:$i]:((((X81 @ X86 @ X85)|(X81 @ X85 @ X86))=>((X82 @ X86 @ X85)|(X82 @ X85 @ X86))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[symmetric_closure_op_is_monotonic]), c_0_6]), c_0_7])). 0.14/0.40 thf(c_0_9, negated_conjecture, ![X89:$i, X90:$i]:(((~(epred1_0 @ X89 @ X90)|(epred2_0 @ X89 @ X90))&(((epred1_0 @ esk2_0 @ esk1_0)|(epred1_0 @ esk1_0 @ esk2_0))&(~(epred2_0 @ esk2_0 @ esk1_0)&~(epred2_0 @ esk1_0 @ esk2_0))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])). 0.14/0.40 thf(c_0_10, negated_conjecture, ~((epred2_0 @ esk2_0 @ esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.14/0.40 thf(c_0_11, negated_conjecture, ![X3:$i, X4:$i]:(((epred2_0 @ X3 @ X4)|~((epred1_0 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_9])). 0.14/0.40 thf(c_0_12, negated_conjecture, ((epred1_0 @ esk2_0 @ esk1_0)|(epred1_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.14/0.40 thf(c_0_13, negated_conjecture, ~((epred1_0 @ esk2_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_10, c_0_11])). 0.14/0.40 thf(c_0_14, negated_conjecture, ~((epred2_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.14/0.40 thf(c_0_15, negated_conjecture, (epred1_0 @ esk1_0 @ esk2_0), inference(sr,[status(thm)],[c_0_12, c_0_13])). 0.14/0.40 thf(c_0_16, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_11]), c_0_15])]), ['proof']). 0.14/0.40 # SZS output end CNFRefutation 0.14/0.40 # Parsed axioms : 59 0.14/0.40 # Removed by relevancy pruning/SinE : 45 0.14/0.40 # Initial clauses : 4 0.14/0.40 # Removed in clause preprocessing : 0 0.14/0.40 # Initial clauses in saturation : 4 0.14/0.40 # Processed clauses : 11 0.14/0.40 # ...of these trivial : 0 0.14/0.40 # ...subsumed : 0 0.14/0.40 # ...remaining for further processing : 10 0.14/0.40 # Other redundant clauses eliminated : 0 0.14/0.40 # Clauses deleted for lack of memory : 0 0.14/0.40 # Backward-subsumed : 0 0.14/0.40 # Backward-rewritten : 0 0.14/0.40 # Generated clauses : 3 0.14/0.40 # ...of the previous two non-redundant : 3 0.14/0.40 # ...aggressively subsumed : 0 0.14/0.40 # Contextual simplify-reflections : 0 0.14/0.40 # Paramodulations : 2 0.14/0.40 # Factorizations : 0 0.14/0.40 # NegExts : 0 0.14/0.40 # Equation resolutions : 0 0.14/0.40 # Disequality decompositions : 0 0.14/0.40 # Total rewrite steps : 1 0.14/0.40 # ...of those cached : 0 0.14/0.40 # Propositional unsat checks : 0 0.14/0.40 # Propositional check models : 0 0.14/0.40 # Propositional check unsatisfiable : 0 0.14/0.40 # Propositional clauses : 0 0.14/0.40 # Propositional clauses after purity: 0 0.14/0.40 # Propositional unsat core size : 0 0.14/0.40 # Propositional preprocessing time : 0.000 0.14/0.40 # Propositional encoding time : 0.000 0.14/0.40 # Propositional solver time : 0.000 0.14/0.40 # Success case prop preproc time : 0.000 0.14/0.40 # Success case prop encoding time : 0.000 0.14/0.40 # Success case prop solver time : 0.000 0.14/0.40 # Current number of processed clauses : 5 0.14/0.40 # Positive orientable unit clauses : 1 0.14/0.40 # Positive unorientable unit clauses: 0 0.14/0.40 # Negative unit clauses : 3 0.14/0.40 # Non-unit-clauses : 1 0.14/0.40 # Current number of unprocessed clauses: 0 0.14/0.40 # ...number of literals in the above : 0 0.14/0.40 # Current number of archived formulas : 0 0.14/0.40 # Current number of archived clauses : 5 0.14/0.40 # Clause-clause subsumption calls (NU) : 0 0.14/0.40 # Rec. Clause-clause subsumption calls : 0 0.14/0.40 # Non-unit clause-clause subsumptions : 0 0.14/0.40 # Unit Clause-clause subsumption calls : 2 0.14/0.40 # Rewrite failures with RHS unbound : 0 0.14/0.40 # BW rewrite match attempts : 0 0.14/0.40 # BW rewrite match successes : 0 0.14/0.40 # Condensation attempts : 11 0.14/0.40 # Condensation successes : 0 0.14/0.40 # Termbank termtop insertions : 1695 0.14/0.40 # Search garbage collected termcells : 585 0.14/0.40 0.14/0.40 # ------------------------------------------------- 0.14/0.40 # User time : 0.005 s 0.14/0.40 # System time : 0.000 s 0.14/0.40 # Total time : 0.005 s 0.14/0.40 # Maximum resident set size: 2136 pages 0.14/0.40 0.14/0.40 # ------------------------------------------------- 0.14/0.40 # User time : 0.006 s 0.14/0.40 # System time : 0.002 s 0.14/0.40 # Total time : 0.008 s 0.14/0.40 # Maximum resident set size: 1784 pages 0.14/0.40 % E exiting 0.14/0.40 % E exiting 0.14/0.40 EOF