0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n008.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 05:52:19 EDT 2025 0.11/0.32 % CPUTime : 0.19/0.46 Running higher-order theorem proving 0.19/0.49 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.WQNeWv1IGp/E---3.1_22214.p 0.19/0.52 # Version: 3.0.0-ho 0.19/0.52 # Preprocessing class: HSLMSMSMSSMCHSA. 0.19/0.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.52 # Starting new_ho_10 with 1200s (5) cores 0.19/0.52 # Starting sh5l with 240s (1) cores 0.19/0.52 # Starting new_bool_1 with 240s (1) cores 0.19/0.52 # Starting new_bool_2 with 240s (1) cores 0.19/0.52 # new_bool_1 with pid 22299 completed with status 0 0.19/0.52 # Result found by new_bool_1 0.19/0.52 # Preprocessing class: HSLMSMSMSSMCHSA. 0.19/0.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.52 # Starting new_ho_10 with 1200s (5) cores 0.19/0.52 # Starting sh5l with 240s (1) cores 0.19/0.52 # Starting new_bool_1 with 240s (1) cores 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.19/0.52 # Search class: HGUNF-FFSM21-MHSFFFNN 0.19/0.52 # partial match(4): FGUNF-FFMM21-MFFFFFNN 0.19/0.52 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.52 # Starting new_ho_10 with 44s (1) cores 0.19/0.52 # new_ho_10 with pid 22303 completed with status 10 0.19/0.52 # Starting new_bool_1 with 25s (1) cores 0.19/0.52 # new_bool_1 with pid 22316 completed with status 0 0.19/0.52 # Result found by new_bool_1 0.19/0.52 # Preprocessing class: HSLMSMSMSSMCHSA. 0.19/0.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.19/0.52 # Starting new_ho_10 with 1200s (5) cores 0.19/0.52 # Starting sh5l with 240s (1) cores 0.19/0.52 # Starting new_bool_1 with 240s (1) cores 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.19/0.52 # Search class: HGUNF-FFSM21-MHSFFFNN 0.19/0.52 # partial match(4): FGUNF-FFMM21-MFFFFFNN 0.19/0.52 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.19/0.52 # Starting new_ho_10 with 44s (1) cores 0.19/0.52 # new_ho_10 with pid 22303 completed with status 10 0.19/0.52 # Starting new_bool_1 with 25s (1) cores 0.19/0.52 # Preprocessing time : 0.002 s 0.19/0.52 # Presaturation interreduction done 0.19/0.52 0.19/0.52 # Proof found! 0.19/0.52 # SZS status Theorem 0.19/0.52 # SZS output start CNFRefutation 0.19/0.52 thf(decl_45, type, grandchild_THFTYPE_IiioI: $i > $i > $o). 0.19/0.52 thf(decl_46, type, grandparent_THFTYPE_IiioI: $i > $i > $o). 0.19/0.52 thf(decl_65, type, lCardinalityFn_THFTYPE_IIioIiI: ($i > $o) > $i). 0.19/0.52 thf(decl_80, type, lJohn_THFTYPE_i: $i). 0.19/0.52 thf(decl_115, type, ltet_THFTYPE_IiioI: $i > $i > $o). 0.19/0.52 thf(decl_119, type, n3_THFTYPE_i: $i). 0.19/0.52 thf(decl_121, type, parent_THFTYPE_IiioI: $i > $i > $o). 0.19/0.52 thf(decl_140, type, esk1_2: $i > $i > $i). 0.19/0.52 thf(decl_142, type, esk3_2: $i > $i > $i). 0.19/0.52 thf(decl_143, type, esk4_2: $i > $i > $i). 0.19/0.52 thf(decl_144, type, esk5_0: $i). 0.19/0.52 thf(con, conjecture, ?[X24:$i]:((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[X25:$i]:((grandchild_THFTYPE_IiioI @ X25 @ lJohn_THFTYPE_i)))) @ X24)), file('/export/starexec/sandbox/tmp/tmp.WQNeWv1IGp/E---3.1_22214.p', con)). 0.19/0.52 thf(ax_012, axiom, (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[X25:$i]:((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X25)))) @ n3_THFTYPE_i), file('/export/starexec/sandbox/tmp/tmp.WQNeWv1IGp/E---3.1_22214.p', ax_012)). 0.19/0.52 thf(ax_037, axiom, ![X25:$i, X24:$i]:((?[X34:$i]:(((parent_THFTYPE_IiioI @ X24 @ X34)&(parent_THFTYPE_IiioI @ X34 @ X25)))<=>(grandchild_THFTYPE_IiioI @ X25 @ X24))), file('/export/starexec/sandbox/tmp/tmp.WQNeWv1IGp/E---3.1_22214.p', ax_037)). 0.19/0.52 thf(ax_077, axiom, ![X25:$i, X24:$i]:(((grandparent_THFTYPE_IiioI @ X25 @ X24)<=>?[X34:$i]:(((parent_THFTYPE_IiioI @ X34 @ X24)&(parent_THFTYPE_IiioI @ X25 @ X34))))), file('/export/starexec/sandbox/tmp/tmp.WQNeWv1IGp/E---3.1_22214.p', ax_077)). 0.19/0.52 thf(ax_076, axiom, ![X25:$i, X24:$i]:((?[X34:$i]:(((parent_THFTYPE_IiioI @ X34 @ X24)&(parent_THFTYPE_IiioI @ X25 @ X34)))<=>(grandparent_THFTYPE_IiioI @ X25 @ X24))), file('/export/starexec/sandbox/tmp/tmp.WQNeWv1IGp/E---3.1_22214.p', ax_076)). 0.19/0.52 thf(c_0_5, negated_conjecture, ~(?[X24:$i]:((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Z0/* 3 */:$i]:((grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i)))) @ X24))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])])). 0.19/0.52 thf(c_0_6, negated_conjecture, ![X76:$i]:(~(ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Z0/* 3 */:$i]:((grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i)))) @ X76)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])). 0.19/0.52 thf(c_0_7, plain, (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Z0/* 3 */:$i]:((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ Z0)))) @ n3_THFTYPE_i), inference(fof_simplification,[status(thm)],[ax_012])). 0.19/0.52 thf(c_0_8, negated_conjecture, ![X1:$i]:(~((ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (^[Z0/* 3 */:$i]:((grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i)))) @ X1))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.19/0.52 thf(c_0_9, plain, (ltet_THFTYPE_IiioI @ (lCardinalityFn_THFTYPE_IIioIiI @ (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i)) @ n3_THFTYPE_i), inference(split_conjunct,[status(thm)],[c_0_7])). 0.19/0.52 thf(c_0_10, plain, ((^[Z0/* 3 */:$i]:((grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i)))!=(grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i)), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_8, c_0_9])])). 0.19/0.52 thf(c_0_11, plain, ![X77:$i, X78:$i, X79:$i, X80:$i, X81:$i]:(((~(parent_THFTYPE_IiioI @ X78 @ X79)|~(parent_THFTYPE_IiioI @ X79 @ X77)|(grandchild_THFTYPE_IiioI @ X77 @ X78))&(((parent_THFTYPE_IiioI @ X81 @ (esk1_2 @ X80 @ X81))|~(grandchild_THFTYPE_IiioI @ X80 @ X81))&((parent_THFTYPE_IiioI @ (esk1_2 @ X80 @ X81) @ X80)|~(grandchild_THFTYPE_IiioI @ X80 @ X81))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_037])])])])])])])). 0.19/0.52 thf(c_0_12, plain, ((grandchild_THFTYPE_IiioI @ esk5_0 @ lJohn_THFTYPE_i)<~>(grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk5_0)), inference(neg_ext,[status(thm)],[c_0_10])). 0.19/0.52 thf(c_0_13, plain, ![X89:$i, X90:$i, X92:$i, X93:$i, X94:$i]:(((((parent_THFTYPE_IiioI @ (esk3_2 @ X89 @ X90) @ X90)|~(grandparent_THFTYPE_IiioI @ X89 @ X90))&((parent_THFTYPE_IiioI @ X89 @ (esk3_2 @ X89 @ X90))|~(grandparent_THFTYPE_IiioI @ X89 @ X90)))&(~(parent_THFTYPE_IiioI @ X94 @ X93)|~(parent_THFTYPE_IiioI @ X92 @ X94)|(grandparent_THFTYPE_IiioI @ X92 @ X93)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_077])])])])])])])). 0.19/0.52 thf(c_0_14, plain, ![X2:$i, X1:$i]:(((parent_THFTYPE_IiioI @ X1 @ (esk1_2 @ X2 @ X1))|~((grandchild_THFTYPE_IiioI @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.52 thf(c_0_15, plain, ((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk5_0)|(grandchild_THFTYPE_IiioI @ esk5_0 @ lJohn_THFTYPE_i)), inference(dynamic_cnf,[status(thm)],[c_0_12])). 0.19/0.52 thf(c_0_16, plain, ![X3:$i, X2:$i, X1:$i]:(((grandparent_THFTYPE_IiioI @ X3 @ X2)|~((parent_THFTYPE_IiioI @ X1 @ X2))|~((parent_THFTYPE_IiioI @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.19/0.52 thf(c_0_17, plain, ((parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ (esk1_2 @ esk5_0 @ lJohn_THFTYPE_i))|(grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk5_0)), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.19/0.52 thf(c_0_18, plain, ![X1:$i, X2:$i]:(((parent_THFTYPE_IiioI @ (esk1_2 @ X1 @ X2) @ X1)|~((grandchild_THFTYPE_IiioI @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.52 thf(c_0_19, plain, ![X95:$i, X96:$i, X97:$i, X98:$i, X99:$i]:(((~(parent_THFTYPE_IiioI @ X97 @ X96)|~(parent_THFTYPE_IiioI @ X95 @ X97)|(grandparent_THFTYPE_IiioI @ X95 @ X96))&(((parent_THFTYPE_IiioI @ (esk4_2 @ X98 @ X99) @ X99)|~(grandparent_THFTYPE_IiioI @ X98 @ X99))&((parent_THFTYPE_IiioI @ X98 @ (esk4_2 @ X98 @ X99))|~(grandparent_THFTYPE_IiioI @ X98 @ X99))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_076])])])])])])])). 0.19/0.52 thf(c_0_20, plain, ![X1:$i]:(((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk5_0)|(grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X1)|~((parent_THFTYPE_IiioI @ (esk1_2 @ esk5_0 @ lJohn_THFTYPE_i) @ X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.19/0.52 thf(c_0_21, plain, ((parent_THFTYPE_IiioI @ (esk1_2 @ esk5_0 @ lJohn_THFTYPE_i) @ esk5_0)|(grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk5_0)), inference(spm,[status(thm)],[c_0_18, c_0_15])). 0.19/0.52 thf(c_0_22, plain, ![X1:$i, X2:$i]:(((parent_THFTYPE_IiioI @ (esk4_2 @ X1 @ X2) @ X2)|~((grandparent_THFTYPE_IiioI @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.19/0.52 thf(c_0_23, plain, (grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk5_0), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.19/0.52 thf(c_0_24, plain, ![X1:$i, X2:$i, X3:$i]:(((grandchild_THFTYPE_IiioI @ X3 @ X1)|~((parent_THFTYPE_IiioI @ X1 @ X2))|~((parent_THFTYPE_IiioI @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.19/0.52 thf(c_0_25, plain, (parent_THFTYPE_IiioI @ (esk4_2 @ lJohn_THFTYPE_i @ esk5_0) @ esk5_0), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.19/0.52 thf(c_0_26, plain, ![X1:$i, X2:$i]:(((parent_THFTYPE_IiioI @ X1 @ (esk4_2 @ X1 @ X2))|~((grandparent_THFTYPE_IiioI @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.19/0.52 thf(c_0_27, plain, (~((grandchild_THFTYPE_IiioI @ esk5_0 @ lJohn_THFTYPE_i))|~((grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk5_0))), inference(dynamic_cnf,[status(thm)],[c_0_12])). 0.19/0.52 thf(c_0_28, plain, ![X1:$i]:(((grandchild_THFTYPE_IiioI @ esk5_0 @ X1)|~((parent_THFTYPE_IiioI @ X1 @ (esk4_2 @ lJohn_THFTYPE_i @ esk5_0))))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.19/0.52 thf(c_0_29, plain, (parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ (esk4_2 @ lJohn_THFTYPE_i @ esk5_0)), inference(spm,[status(thm)],[c_0_26, c_0_23])). 0.19/0.52 thf(c_0_30, plain, ~((grandchild_THFTYPE_IiioI @ esk5_0 @ lJohn_THFTYPE_i)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_23])])). 0.19/0.52 thf(c_0_31, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), ['proof']). 0.19/0.52 # SZS output end CNFRefutation 0.19/0.52 # Parsed axioms : 374 0.19/0.52 # Removed by relevancy pruning/SinE : 352 0.19/0.52 # Initial clauses : 30 0.19/0.52 # Removed in clause preprocessing : 0 0.19/0.52 # Initial clauses in saturation : 30 0.19/0.52 # Processed clauses : 80 0.19/0.52 # ...of these trivial : 1 0.19/0.52 # ...subsumed : 2 0.19/0.52 # ...remaining for further processing : 77 0.19/0.52 # Other redundant clauses eliminated : 1 0.19/0.52 # Clauses deleted for lack of memory : 0 0.19/0.52 # Backward-subsumed : 0 0.19/0.52 # Backward-rewritten : 10 0.19/0.52 # Generated clauses : 39 0.19/0.52 # ...of the previous two non-redundant : 35 0.19/0.52 # ...aggressively subsumed : 0 0.19/0.52 # Contextual simplify-reflections : 0 0.19/0.52 # Paramodulations : 34 0.19/0.52 # Factorizations : 0 0.19/0.52 # NegExts : 1 0.19/0.52 # Equation resolutions : 1 0.19/0.52 # Disequality decompositions : 0 0.19/0.52 # Total rewrite steps : 13 0.19/0.52 # ...of those cached : 11 0.19/0.52 # Propositional unsat checks : 0 0.19/0.52 # Propositional check models : 0 0.19/0.52 # Propositional check unsatisfiable : 0 0.19/0.52 # Propositional clauses : 0 0.19/0.52 # Propositional clauses after purity: 0 0.19/0.52 # Propositional unsat core size : 0 0.19/0.52 # Propositional preprocessing time : 0.000 0.19/0.52 # Propositional encoding time : 0.000 0.19/0.52 # Propositional solver time : 0.000 0.19/0.52 # Success case prop preproc time : 0.000 0.19/0.52 # Success case prop encoding time : 0.000 0.19/0.52 # Success case prop solver time : 0.000 0.19/0.52 # Current number of processed clauses : 39 0.19/0.52 # Positive orientable unit clauses : 20 0.19/0.52 # Positive unorientable unit clauses: 0 0.19/0.52 # Negative unit clauses : 3 0.19/0.52 # Non-unit-clauses : 16 0.19/0.52 # Current number of unprocessed clauses: 12 0.19/0.52 # ...number of literals in the above : 33 0.19/0.52 # Current number of archived formulas : 0 0.19/0.52 # Current number of archived clauses : 38 0.19/0.52 # Clause-clause subsumption calls (NU) : 63 0.19/0.52 # Rec. Clause-clause subsumption calls : 50 0.19/0.52 # Non-unit clause-clause subsumptions : 2 0.19/0.52 # Unit Clause-clause subsumption calls : 0 0.19/0.52 # Rewrite failures with RHS unbound : 0 0.19/0.52 # BW rewrite match attempts : 1 0.19/0.52 # BW rewrite match successes : 1 0.19/0.52 # Condensation attempts : 0 0.19/0.52 # Condensation successes : 0 0.19/0.52 # Termbank termtop insertions : 4599 0.19/0.52 # Search garbage collected termcells : 1265 0.19/0.52 0.19/0.52 # ------------------------------------------------- 0.19/0.52 # User time : 0.013 s 0.19/0.52 # System time : 0.007 s 0.19/0.52 # Total time : 0.020 s 0.19/0.52 # Maximum resident set size: 2392 pages 0.19/0.52 0.19/0.52 # ------------------------------------------------- 0.19/0.52 # User time : 0.018 s 0.19/0.52 # System time : 0.010 s 0.19/0.52 # Total time : 0.028 s 0.19/0.52 # Maximum resident set size: 2008 pages 0.19/0.52 % E exiting 0.19/0.53 % E exiting 0.19/0.53 EOF