0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.34 % Computer : n026.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 09:40:34 EDT 2025 0.12/0.34 % CPUTime : 0.21/0.48 Running higher-order theorem proving 2.61/2.78 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.x55J5XvboR/E---3.1_23586.p 30.98/10.40 # Version: 3.0.0-ho 30.98/10.40 # partial match(1): HMLMSMSMSSLCHFA 30.98/10.40 # Preprocessing class: HMLMSMLMSSLCHFA. 30.98/10.40 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 30.98/10.40 # Starting new_ho_10 with 1200s (5) cores 30.98/10.40 # Starting sh5l with 240s (1) cores 30.98/10.40 # Starting new_bool_1 with 240s (1) cores 30.98/10.40 # Starting new_bool_2 with 240s (1) cores 30.98/10.40 # new_bool_2 with pid 23667 completed with status 0 30.98/10.40 # Result found by new_bool_2 30.98/10.40 # partial match(1): HMLMSMSMSSLCHFA 30.98/10.40 # Preprocessing class: HMLMSMLMSSLCHFA. 30.98/10.40 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 30.98/10.40 # Starting new_ho_10 with 1200s (5) cores 30.98/10.40 # Starting sh5l with 240s (1) cores 30.98/10.40 # Starting new_bool_1 with 240s (1) cores 30.98/10.40 # Starting new_bool_2 with 240s (1) cores 30.98/10.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 30.98/10.40 # Search class: HGHSM-SMLM32-DHFFFSBN 30.98/10.40 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 30.98/10.40 # Starting new_ho_10 with 145s (1) cores 30.98/10.40 # new_ho_10 with pid 23668 completed with status 0 30.98/10.40 # Result found by new_ho_10 30.98/10.40 # partial match(1): HMLMSMSMSSLCHFA 30.98/10.40 # Preprocessing class: HMLMSMLMSSLCHFA. 30.98/10.40 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 30.98/10.40 # Starting new_ho_10 with 1200s (5) cores 30.98/10.40 # Starting sh5l with 240s (1) cores 30.98/10.40 # Starting new_bool_1 with 240s (1) cores 30.98/10.40 # Starting new_bool_2 with 240s (1) cores 30.98/10.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 30.98/10.40 # Search class: HGHSM-SMLM32-DHFFFSBN 30.98/10.40 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 30.98/10.40 # Starting new_ho_10 with 145s (1) cores 30.98/10.40 # Preprocessing time : 0.192 s 30.98/10.40 # Presaturation interreduction done 30.98/10.40 30.98/10.40 # Proof found! 30.98/10.40 # SZS status Theorem 30.98/10.40 # SZS output start CNFRefutation 30.98/10.40 thf(decl_sort1, type, nat: $tType). 30.98/10.40 thf(decl_sort2, type, set_nat: $tType). 30.98/10.40 thf(decl_sort3, type, vEBT_VEBT: $tType). 30.98/10.40 thf(decl_854, type, collect_nat: (nat > $o) > set_nat). 30.98/10.40 thf(decl_953, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o). 30.98/10.40 thf(decl_965, type, vEBT_invar_vebt: vEBT_VEBT > nat > $o). 30.98/10.40 thf(decl_966, type, vEBT_set_vebt: vEBT_VEBT > set_nat). 30.98/10.40 thf(decl_973, type, vEBT_vebt_member: vEBT_VEBT > nat > $o). 30.98/10.40 thf(decl_994, type, member_nat: nat > set_nat > $o). 30.98/10.40 thf(decl_1001, type, n: nat). 30.98/10.40 thf(decl_1002, type, t: vEBT_VEBT). 30.98/10.40 thf(decl_1003, type, x: nat). 30.98/10.40 thf(conj_1, conjecture, ((vEBT_vebt_member @ t @ x)<=>(member_nat @ x @ (vEBT_set_vebt @ t))), file('/export/starexec/sandbox/tmp/tmp.x55J5XvboR/E---3.1_23586.p', conj_1)). 30.98/10.40 thf(fact_8231_set__vebt__def, axiom, ((vEBT_set_vebt)=(^[X3835:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ X3835)))), file('/export/starexec/sandbox/tmp/tmp.x55J5XvboR/E---3.1_23586.p', fact_8231_set__vebt__def)). 30.98/10.40 thf(fact_4_both__member__options__equiv__member, axiom, ![X7415:vEBT_VEBT, X2:nat, X7416:nat]:((((vEBT_V8194947554948674370ptions @ X7415 @ X7416)<=>(vEBT_vebt_member @ X7415 @ X7416))<=(vEBT_invar_vebt @ X7415 @ X2))), file('/export/starexec/sandbox/tmp/tmp.x55J5XvboR/E---3.1_23586.p', fact_4_both__member__options__equiv__member)). 30.98/10.40 thf(fact_48_mem__Collect__eq, axiom, ![X15920:nat, X15921:nat > $o]:(((member_nat @ X15920 @ (collect_nat @ X15921))<=>(X15921 @ X15920))), file('/export/starexec/sandbox/tmp/tmp.x55J5XvboR/E---3.1_23586.p', fact_48_mem__Collect__eq)). 30.98/10.40 thf(conj_0, hypothesis, (vEBT_invar_vebt @ t @ n), file('/export/starexec/sandbox/tmp/tmp.x55J5XvboR/E---3.1_23586.p', conj_0)). 30.98/10.40 thf(fact_5_valid__member__both__member__options, axiom, ![X4268:vEBT_VEBT, X2:nat, X4269:nat]:(((vEBT_invar_vebt @ X4268 @ X2)=>((vEBT_vebt_member @ X4268 @ X4269)<=(vEBT_V8194947554948674370ptions @ X4268 @ X4269)))), file('/export/starexec/sandbox/tmp/tmp.x55J5XvboR/E---3.1_23586.p', fact_5_valid__member__both__member__options)). 30.98/10.40 thf(c_0_6, negated_conjecture, ~(((vEBT_vebt_member @ t @ x)<=>(member_nat @ x @ (vEBT_set_vebt @ t)))), inference(assume_negation,[status(cth)],[conj_1])). 30.98/10.40 thf(c_0_7, plain, ((vEBT_set_vebt)=(^[Z0/* 854 */:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ Z0)))), inference(fof_simplification,[status(thm)],[fact_8231_set__vebt__def])). 30.98/10.40 thf(c_0_8, plain, ![X7415:vEBT_VEBT, X2:nat, X7416:nat]:(((vEBT_invar_vebt @ X7415 @ X2)=>((vEBT_V8194947554948674370ptions @ X7415 @ X7416)<=>(vEBT_vebt_member @ X7415 @ X7416)))), inference(fof_simplification,[status(thm)],[fact_4_both__member__options__equiv__member])). 30.98/10.40 thf(c_0_9, negated_conjecture, ((~(vEBT_vebt_member @ t @ x)|~(member_nat @ x @ (vEBT_set_vebt @ t)))&((vEBT_vebt_member @ t @ x)|(member_nat @ x @ (vEBT_set_vebt @ t)))), inference(fof_nnf,[status(thm)],[c_0_6])). 30.98/10.40 thf(c_0_10, plain, ((vEBT_set_vebt)=(^[Z0/* 854 */:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ Z0)))), inference(split_conjunct,[status(thm)],[c_0_7])). 30.98/10.40 thf(c_0_11, plain, ![X23332:vEBT_VEBT, X23333:nat, X23334:nat]:(((~(vEBT_V8194947554948674370ptions @ X23332 @ X23334)|(vEBT_vebt_member @ X23332 @ X23334)|~(vEBT_invar_vebt @ X23332 @ X23333))&(~(vEBT_vebt_member @ X23332 @ X23334)|(vEBT_V8194947554948674370ptions @ X23332 @ X23334)|~(vEBT_invar_vebt @ X23332 @ X23333)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])). 30.98/10.40 thf(c_0_12, plain, ![X24296:nat, X24297:nat > $o]:(((~(member_nat @ X24296 @ (collect_nat @ X24297))|(X24297 @ X24296))&(~(X24297 @ X24296)|(member_nat @ X24296 @ (collect_nat @ X24297))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_48_mem__Collect__eq])])). 30.98/10.40 thf(c_0_13, negated_conjecture, ((vEBT_vebt_member @ t @ x)|(member_nat @ x @ (vEBT_set_vebt @ t))), inference(split_conjunct,[status(thm)],[c_0_9])). 30.98/10.40 thf(c_0_14, plain, ![X104:vEBT_VEBT]:(((vEBT_set_vebt @ X104)=(collect_nat @ (vEBT_V8194947554948674370ptions @ X104)))), inference(arg_cong,[status(thm)],[c_0_10])). 30.98/10.40 thf(c_0_15, negated_conjecture, (~((vEBT_vebt_member @ t @ x))|~((member_nat @ x @ (vEBT_set_vebt @ t)))), inference(split_conjunct,[status(thm)],[c_0_9])). 30.98/10.40 thf(c_0_16, plain, ![X2:nat, X104:vEBT_VEBT, X4:nat]:(((vEBT_V8194947554948674370ptions @ X104 @ X2)|~((vEBT_vebt_member @ X104 @ X2))|~((vEBT_invar_vebt @ X104 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_11])). 30.98/10.40 thf(c_0_17, hypothesis, (vEBT_invar_vebt @ t @ n), inference(split_conjunct,[status(thm)],[conj_0])). 30.98/10.40 thf(c_0_18, plain, ![X2:nat, X345:nat > $o]:(((X345 @ X2)|~((member_nat @ X2 @ (collect_nat @ X345))))), inference(split_conjunct,[status(thm)],[c_0_12])). 30.98/10.40 thf(c_0_19, negated_conjecture, ((member_nat @ x @ (collect_nat @ (vEBT_V8194947554948674370ptions @ t)))|(vEBT_vebt_member @ t @ x)), inference(rw,[status(thm)],[c_0_13, c_0_14])). 30.98/10.40 thf(c_0_20, plain, ![X4268:vEBT_VEBT, X2:nat, X4269:nat]:(((vEBT_invar_vebt @ X4268 @ X2)=>((vEBT_V8194947554948674370ptions @ X4268 @ X4269)=>(vEBT_vebt_member @ X4268 @ X4269)))), inference(fof_simplification,[status(thm)],[fact_5_valid__member__both__member__options])). 30.98/10.40 thf(c_0_21, negated_conjecture, (~((member_nat @ x @ (collect_nat @ (vEBT_V8194947554948674370ptions @ t))))|~((vEBT_vebt_member @ t @ x))), inference(rw,[status(thm)],[c_0_15, c_0_14])). 30.98/10.40 thf(c_0_22, plain, ![X345:nat > $o, X2:nat]:(((member_nat @ X2 @ (collect_nat @ X345))|~((X345 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_12])). 30.98/10.40 thf(c_0_23, hypothesis, ![X2:nat]:(((vEBT_V8194947554948674370ptions @ t @ X2)|~((vEBT_vebt_member @ t @ X2)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 30.98/10.40 thf(c_0_24, negated_conjecture, ((vEBT_vebt_member @ t @ x)|(vEBT_V8194947554948674370ptions @ t @ x)), inference(spm,[status(thm)],[c_0_18, c_0_19])). 30.98/10.40 thf(c_0_25, plain, ![X23329:vEBT_VEBT, X23330:nat, X23331:nat]:((~(vEBT_invar_vebt @ X23329 @ X23330)|(~(vEBT_V8194947554948674370ptions @ X23329 @ X23331)|(vEBT_vebt_member @ X23329 @ X23331)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])). 30.98/10.40 thf(c_0_26, negated_conjecture, (~((vEBT_vebt_member @ t @ x))|~((vEBT_V8194947554948674370ptions @ t @ x))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 30.98/10.40 thf(c_0_27, negated_conjecture, (vEBT_V8194947554948674370ptions @ t @ x), inference(spm,[status(thm)],[c_0_23, c_0_24])). 30.98/10.40 thf(c_0_28, plain, ![X2:nat, X104:vEBT_VEBT, X4:nat]:(((vEBT_vebt_member @ X104 @ X4)|~((vEBT_invar_vebt @ X104 @ X2))|~((vEBT_V8194947554948674370ptions @ X104 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_25])). 30.98/10.40 thf(c_0_29, negated_conjecture, ~((vEBT_vebt_member @ t @ x)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])). 30.98/10.40 thf(c_0_30, hypothesis, ![X2:nat]:(((vEBT_vebt_member @ t @ X2)|~((vEBT_V8194947554948674370ptions @ t @ X2)))), inference(spm,[status(thm)],[c_0_28, c_0_17])). 30.98/10.40 thf(c_0_31, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_27])]), ['proof']). 30.98/10.40 # SZS output end CNFRefutation 30.98/10.40 # Parsed axioms : 11247 30.98/10.40 # Removed by relevancy pruning/SinE : 8122 30.98/10.40 # Initial clauses : 8118 30.98/10.40 # Removed in clause preprocessing : 1929 30.98/10.40 # Initial clauses in saturation : 6189 30.98/10.40 # Processed clauses : 8554 30.98/10.40 # ...of these trivial : 249 30.98/10.40 # ...subsumed : 1664 30.98/10.40 # ...remaining for further processing : 6641 30.98/10.40 # Other redundant clauses eliminated : 1427 30.98/10.40 # Clauses deleted for lack of memory : 0 30.98/10.40 # Backward-subsumed : 33 30.98/10.40 # Backward-rewritten : 73 30.98/10.40 # Generated clauses : 7100 30.98/10.40 # ...of the previous two non-redundant : 5078 30.98/10.40 # ...aggressively subsumed : 0 30.98/10.40 # Contextual simplify-reflections : 86 30.98/10.40 # Paramodulations : 5834 30.98/10.40 # Factorizations : 2 30.98/10.40 # NegExts : 0 30.98/10.40 # Equation resolutions : 1445 30.98/10.40 # Disequality decompositions : 0 30.98/10.40 # Total rewrite steps : 6558 30.98/10.40 # ...of those cached : 5792 30.98/10.40 # Propositional unsat checks : 0 30.98/10.40 # Propositional check models : 0 30.98/10.40 # Propositional check unsatisfiable : 0 30.98/10.40 # Propositional clauses : 0 30.98/10.40 # Propositional clauses after purity: 0 30.98/10.40 # Propositional unsat core size : 0 30.98/10.40 # Propositional preprocessing time : 0.000 30.98/10.40 # Propositional encoding time : 0.000 30.98/10.40 # Propositional solver time : 0.000 30.98/10.40 # Success case prop preproc time : 0.000 30.98/10.40 # Success case prop encoding time : 0.000 30.98/10.40 # Success case prop solver time : 0.000 30.98/10.40 # Current number of processed clauses : 1115 30.98/10.40 # Positive orientable unit clauses : 425 30.98/10.40 # Positive unorientable unit clauses: 4 30.98/10.40 # Negative unit clauses : 159 30.98/10.40 # Non-unit-clauses : 527 30.98/10.40 # Current number of unprocessed clauses: 7161 30.98/10.40 # ...number of literals in the above : 22257 30.98/10.40 # Current number of archived formulas : 0 30.98/10.40 # Current number of archived clauses : 4570 30.98/10.40 # Clause-clause subsumption calls (NU) : 13604860 30.98/10.40 # Rec. Clause-clause subsumption calls : 1071519 30.98/10.40 # Non-unit clause-clause subsumptions : 1175 30.98/10.40 # Unit Clause-clause subsumption calls : 23163 30.98/10.40 # Rewrite failures with RHS unbound : 0 30.98/10.40 # BW rewrite match attempts : 761 30.98/10.40 # BW rewrite match successes : 233 30.98/10.40 # Condensation attempts : 8554 30.98/10.40 # Condensation successes : 1 30.98/10.40 # Termbank termtop insertions : 2638624 30.98/10.40 # Search garbage collected termcells : 163852 30.98/10.40 30.98/10.40 # ------------------------------------------------- 30.98/10.40 # User time : 6.806 s 30.98/10.40 # System time : 0.102 s 30.98/10.40 # Total time : 6.908 s 30.98/10.40 # Maximum resident set size: 42160 pages 30.98/10.40 30.98/10.40 # ------------------------------------------------- 30.98/10.40 # User time : 7.401 s 30.98/10.40 # System time : 0.123 s 30.98/10.40 # Total time : 7.524 s 30.98/10.40 # Maximum resident set size: 24104 pages 30.98/10.40 % E exiting 30.98/10.41 % E exiting 30.98/10.41 EOF