0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n018.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 09:57:49 EDT 2025 0.11/0.32 % CPUTime : 0.17/0.45 Running higher-order theorem proving 4.08/4.31 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.QHidtbj7yC/E---3.1_6817.p 456.57/118.74 # Version: 3.0.0-ho 456.57/118.74 # partial match(2): HMLMSMSMSSLCHFA 456.57/118.74 # Preprocessing class: HMLLSMLMSSLCHFA. 456.57/118.74 # Scheduled 4 strats onto 8 cores with 239 seconds (1912 total) 456.57/118.74 # Starting new_ho_10 with 1195s (5) cores 456.57/118.74 # Starting sh5l with 239s (1) cores 456.57/118.74 # Starting new_bool_1 with 239s (1) cores 456.57/118.74 # Starting new_bool_2 with 239s (1) cores 456.57/118.74 # new_bool_1 with pid 6983 completed with status 0 456.57/118.74 # Result found by new_bool_1 456.57/118.74 # partial match(2): HMLMSMSMSSLCHFA 456.57/118.74 # Preprocessing class: HMLLSMLMSSLCHFA. 456.57/118.74 # Scheduled 4 strats onto 8 cores with 239 seconds (1912 total) 456.57/118.74 # Starting new_ho_10 with 1195s (5) cores 456.57/118.74 # Starting sh5l with 239s (1) cores 456.57/118.74 # Starting new_bool_1 with 239s (1) cores 456.57/118.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 456.57/118.74 # Search class: HGHSM-SMLM32-DHFFFSBN 456.57/118.74 # Scheduled 5 strats onto 1 cores with 238 seconds (238 total) 456.57/118.74 # Starting new_ho_10 with 143s (1) cores 456.57/118.74 # new_ho_10 with pid 7008 completed with status 0 456.57/118.74 # Result found by new_ho_10 456.57/118.74 # partial match(2): HMLMSMSMSSLCHFA 456.57/118.74 # Preprocessing class: HMLLSMLMSSLCHFA. 456.57/118.74 # Scheduled 4 strats onto 8 cores with 239 seconds (1912 total) 456.57/118.74 # Starting new_ho_10 with 1195s (5) cores 456.57/118.74 # Starting sh5l with 239s (1) cores 456.57/118.74 # Starting new_bool_1 with 239s (1) cores 456.57/118.74 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 456.57/118.74 # Search class: HGHSM-SMLM32-DHFFFSBN 456.57/118.74 # Scheduled 5 strats onto 1 cores with 238 seconds (238 total) 456.57/118.74 # Starting new_ho_10 with 143s (1) cores 456.57/118.74 # Preprocessing time : 0.234 s 456.57/118.74 # Presaturation interreduction done 456.57/118.74 456.57/118.74 # Proof found! 456.57/118.74 # SZS status Theorem 456.57/118.74 # SZS output start CNFRefutation 456.57/118.74 thf(decl_sort1, type, vEBT_VEBT: $tType). 456.57/118.74 thf(decl_sort2, type, nat: $tType). 456.57/118.74 thf(decl_sort3, type, set_nat: $tType). 456.57/118.74 thf(decl_1132, type, collect_nat: (nat > $o) > set_nat). 456.57/118.74 thf(decl_1398, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o). 456.57/118.74 thf(decl_1408, type, vEBT_invar_vebt: vEBT_VEBT > nat > $o). 456.57/118.74 thf(decl_1409, type, vEBT_set_vebt: vEBT_VEBT > set_nat). 456.57/118.74 thf(decl_1418, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 456.57/118.74 thf(decl_1471, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat). 456.57/118.74 thf(decl_1472, type, vEBT_vebt_member: vEBT_VEBT > nat > $o). 456.57/118.74 thf(decl_1528, type, member_nat: nat > set_nat > $o). 456.57/118.74 thf(decl_1578, type, n: nat). 456.57/118.74 thf(decl_1580, type, s: set_nat). 456.57/118.74 thf(decl_1581, type, t: vEBT_VEBT). 456.57/118.74 thf(decl_1582, type, x: nat). 456.57/118.74 thf(decl_1583, type, xa: nat). 456.57/118.74 thf(fact_5_set__vebt__set__vebt_H__valid, axiom, ![X13464:vEBT_VEBT, X13:nat]:((((vEBT_set_vebt @ X13464)=(vEBT_VEBT_set_vebt @ X13464))<=(vEBT_invar_vebt @ X13464 @ X13))), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', fact_5_set__vebt__set__vebt_H__valid)). 456.57/118.74 thf(fact_6048_set__vebt_H__def, axiom, ((vEBT_VEBT_set_vebt)=(^[X2478:vEBT_VEBT]:(collect_nat @ (vEBT_vebt_member @ X2478)))), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', fact_6048_set__vebt_H__def)). 456.57/118.74 thf(fact_6533_set__vebt__def, axiom, ((vEBT_set_vebt)=(^[X2478:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ X2478)))), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', fact_6533_set__vebt__def)). 456.57/118.74 thf(fact_60_mem__Collect__eq, axiom, ![X797:nat, X15:nat > $o]:(((member_nat @ X797 @ (collect_nat @ X15))<=>(X15 @ X797))), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', fact_60_mem__Collect__eq)). 456.57/118.74 thf(conj_1, hypothesis, (vEBT_invar_vebt @ t @ n), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', conj_1)). 456.57/118.74 thf(conj_0, hypothesis, ((s)=(vEBT_set_vebt @ t)), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', conj_0)). 456.57/118.74 thf(conj_4, hypothesis, ~((member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x)))), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', conj_4)). 456.57/118.74 thf(fact_23_dele__bmo__cont__corr, axiom, ![X4454:vEBT_VEBT, X13:nat, X4455:nat, X46:nat]:((((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X4454 @ X4455) @ X46)<=>((vEBT_V8194947554948674370ptions @ X4454 @ X46)&((X4455)!=(X46))))<=(vEBT_invar_vebt @ X4454 @ X13))), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', fact_23_dele__bmo__cont__corr)). 456.57/118.74 thf(fact_25_both__member__options__equiv__member, axiom, ![X4889:vEBT_VEBT, X13:nat, X4890:nat]:(((vEBT_invar_vebt @ X4889 @ X13)=>((vEBT_V8194947554948674370ptions @ X4889 @ X4890)<=>(vEBT_vebt_member @ X4889 @ X4890)))), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', fact_25_both__member__options__equiv__member)). 456.57/118.74 thf(conj_3, hypothesis, (member_nat @ xa @ (vEBT_set_vebt @ t)), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', conj_3)). 456.57/118.74 thf(conj_5, conjecture, ((xa)=(x)), file('/export/starexec/sandbox2/tmp/tmp.QHidtbj7yC/E---3.1_6817.p', conj_5)). 456.57/118.74 thf(c_0_11, plain, ![X13464:vEBT_VEBT, X13:nat]:(((vEBT_invar_vebt @ X13464 @ X13)=>((vEBT_set_vebt @ X13464)=(vEBT_VEBT_set_vebt @ X13464)))), inference(fof_simplification,[status(thm)],[fact_5_set__vebt__set__vebt_H__valid])). 456.57/118.74 thf(c_0_12, plain, ((vEBT_VEBT_set_vebt)=(^[Z0/* 1132 */:vEBT_VEBT]:(collect_nat @ (vEBT_vebt_member @ Z0)))), inference(fof_simplification,[status(thm)],[fact_6048_set__vebt_H__def])). 456.57/118.74 thf(c_0_13, plain, ![X28413:vEBT_VEBT, X28414:nat]:((~(vEBT_invar_vebt @ X28413 @ X28414)|((vEBT_set_vebt @ X28413)=(vEBT_VEBT_set_vebt @ X28413)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 456.57/118.74 thf(c_0_14, plain, ((vEBT_VEBT_set_vebt)=(^[Z0/* 1132 */:vEBT_VEBT]:(collect_nat @ (vEBT_vebt_member @ Z0)))), inference(split_conjunct,[status(thm)],[c_0_12])). 456.57/118.74 thf(c_0_15, plain, ((vEBT_set_vebt)=(^[Z0/* 1132 */:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ Z0)))), inference(fof_simplification,[status(thm)],[fact_6533_set__vebt__def])). 456.57/118.74 thf(c_0_16, plain, ![X30989:nat, X30990:nat > $o]:(((~(member_nat @ X30989 @ (collect_nat @ X30990))|(X30990 @ X30989))&(~(X30990 @ X30989)|(member_nat @ X30989 @ (collect_nat @ X30990))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_60_mem__Collect__eq])])])). 456.57/118.74 thf(c_0_17, plain, ![X39:vEBT_VEBT, X13:nat]:((((vEBT_set_vebt @ X39)=(vEBT_VEBT_set_vebt @ X39))|~((vEBT_invar_vebt @ X39 @ X13)))), inference(split_conjunct,[status(thm)],[c_0_13])). 456.57/118.74 thf(c_0_18, hypothesis, (vEBT_invar_vebt @ t @ n), inference(split_conjunct,[status(thm)],[conj_1])). 456.57/118.74 thf(c_0_19, plain, ![X39:vEBT_VEBT]:(((vEBT_VEBT_set_vebt @ X39)=(collect_nat @ (vEBT_vebt_member @ X39)))), inference(arg_cong,[status(thm)],[c_0_14])). 456.57/118.74 thf(c_0_20, hypothesis, ((s)=(vEBT_set_vebt @ t)), inference(split_conjunct,[status(thm)],[conj_0])). 456.57/118.74 thf(c_0_21, hypothesis, ~(member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x))), inference(fof_simplification,[status(thm)],[conj_4])). 456.57/118.74 thf(c_0_22, plain, ((vEBT_set_vebt)=(^[Z0/* 1132 */:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ Z0)))), inference(split_conjunct,[status(thm)],[c_0_15])). 456.57/118.74 thf(c_0_23, plain, ![X4454:vEBT_VEBT, X13:nat, X4455:nat, X46:nat]:(((vEBT_invar_vebt @ X4454 @ X13)=>((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X4454 @ X4455) @ X46)<=>((vEBT_V8194947554948674370ptions @ X4454 @ X46)&((X4455)!=(X46)))))), inference(fof_simplification,[status(thm)],[fact_23_dele__bmo__cont__corr])). 456.57/118.74 thf(c_0_24, plain, ![X30600:vEBT_VEBT, X30601:nat, X30602:nat]:(((~(vEBT_V8194947554948674370ptions @ X30600 @ X30602)|(vEBT_vebt_member @ X30600 @ X30602)|~(vEBT_invar_vebt @ X30600 @ X30601))&(~(vEBT_vebt_member @ X30600 @ X30602)|(vEBT_V8194947554948674370ptions @ X30600 @ X30602)|~(vEBT_invar_vebt @ X30600 @ X30601)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_25_both__member__options__equiv__member])])])])). 456.57/118.74 thf(c_0_25, plain, ![X13:nat, X15:nat > $o]:(((X15 @ X13)|~((member_nat @ X13 @ (collect_nat @ X15))))), inference(split_conjunct,[status(thm)],[c_0_16])). 456.57/118.74 thf(c_0_26, hypothesis, ((collect_nat @ (vEBT_vebt_member @ t))=(s)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_20])). 456.57/118.74 thf(c_0_27, hypothesis, (member_nat @ xa @ (vEBT_set_vebt @ t)), inference(split_conjunct,[status(thm)],[conj_3])). 456.57/118.74 thf(c_0_28, hypothesis, ~(member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x))), inference(fof_nnf,[status(thm)],[c_0_21])). 456.57/118.74 thf(c_0_29, plain, ![X15:nat > $o, X13:nat]:(((member_nat @ X13 @ (collect_nat @ X15))|~((X15 @ X13)))), inference(split_conjunct,[status(thm)],[c_0_16])). 456.57/118.74 thf(c_0_30, plain, ![X39:vEBT_VEBT]:(((collect_nat @ (vEBT_V8194947554948674370ptions @ X39))=(vEBT_set_vebt @ X39))), inference(arg_cong,[status(thm)],[c_0_22])). 456.57/118.74 thf(c_0_31, plain, ![X31114:vEBT_VEBT, X31115:nat, X31116:nat, X31117:nat]:(((((vEBT_V8194947554948674370ptions @ X31114 @ X31117)|~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X31114 @ X31116) @ X31117)|~(vEBT_invar_vebt @ X31114 @ X31115))&(((X31116)!=(X31117))|~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X31114 @ X31116) @ X31117)|~(vEBT_invar_vebt @ X31114 @ X31115)))&(~(vEBT_V8194947554948674370ptions @ X31114 @ X31117)|((X31116)=(X31117))|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X31114 @ X31116) @ X31117)|~(vEBT_invar_vebt @ X31114 @ X31115)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])). 456.57/118.74 thf(c_0_32, plain, ![X13:nat, X39:vEBT_VEBT, X16:nat]:(((vEBT_V8194947554948674370ptions @ X39 @ X13)|~((vEBT_vebt_member @ X39 @ X13))|~((vEBT_invar_vebt @ X39 @ X16)))), inference(split_conjunct,[status(thm)],[c_0_24])). 456.57/118.74 thf(c_0_33, hypothesis, ![X13:nat]:(((vEBT_vebt_member @ t @ X13)|~((member_nat @ X13 @ s)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 456.57/118.74 thf(c_0_34, hypothesis, (member_nat @ xa @ s), inference(rw,[status(thm)],[c_0_27, c_0_20])). 456.57/118.74 thf(c_0_35, negated_conjecture, ((xa)!=(x)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_5])])). 456.57/118.74 thf(c_0_36, hypothesis, ~((member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x)))), inference(split_conjunct,[status(thm)],[c_0_28])). 456.57/118.74 thf(c_0_37, plain, ![X39:vEBT_VEBT, X13:nat]:(((member_nat @ X13 @ (vEBT_set_vebt @ X39))|~((vEBT_V8194947554948674370ptions @ X39 @ X13)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 456.57/118.74 thf(c_0_38, plain, ![X13:nat, X16:nat, X39:vEBT_VEBT, X44:nat]:((((X16)=(X13))|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X39 @ X16) @ X13)|~((vEBT_V8194947554948674370ptions @ X39 @ X13))|~((vEBT_invar_vebt @ X39 @ X44)))), inference(split_conjunct,[status(thm)],[c_0_31])). 456.57/118.74 thf(c_0_39, hypothesis, ![X13:nat]:(((vEBT_V8194947554948674370ptions @ t @ X13)|~((vEBT_vebt_member @ t @ X13)))), inference(spm,[status(thm)],[c_0_32, c_0_18])). 456.57/118.74 thf(c_0_40, hypothesis, (vEBT_vebt_member @ t @ xa), inference(spm,[status(thm)],[c_0_33, c_0_34])). 456.57/118.74 thf(c_0_41, negated_conjecture, ((xa)!=(x)), inference(fof_nnf,[status(thm)],[c_0_35])). 456.57/118.74 thf(c_0_42, hypothesis, ~((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ t @ x) @ xa)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 456.57/118.74 thf(c_0_43, hypothesis, ![X16:nat, X13:nat]:((((X13)=(X16))|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ t @ X16) @ X13)|~((vEBT_V8194947554948674370ptions @ t @ X13)))), inference(spm,[status(thm)],[c_0_38, c_0_18])). 456.57/118.74 thf(c_0_44, hypothesis, (vEBT_V8194947554948674370ptions @ t @ xa), inference(spm,[status(thm)],[c_0_39, c_0_40])). 456.57/118.74 thf(c_0_45, negated_conjecture, ((xa)!=(x)), inference(split_conjunct,[status(thm)],[c_0_41])). 456.57/118.74 thf(c_0_46, hypothesis, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])]), c_0_45]), ['proof']). 456.57/118.74 # SZS output end CNFRefutation 456.57/118.74 # Parsed axioms : 10921 456.57/118.74 # Removed by relevancy pruning/SinE : 8356 456.57/118.74 # Initial clauses : 8511 456.57/118.74 # Removed in clause preprocessing : 2590 456.57/118.74 # Initial clauses in saturation : 5921 456.57/118.74 # Processed clauses : 31719 456.57/118.74 # ...of these trivial : 1026 456.57/118.74 # ...subsumed : 12807 456.57/118.74 # ...remaining for further processing : 17886 456.57/118.74 # Other redundant clauses eliminated : 9324 456.57/118.74 # Clauses deleted for lack of memory : 0 456.57/118.74 # Backward-subsumed : 171 456.57/118.74 # Backward-rewritten : 323 456.57/118.74 # Generated clauses : 1121887 456.57/118.74 # ...of the previous two non-redundant : 1057704 456.57/118.74 # ...aggressively subsumed : 0 456.57/118.74 # Contextual simplify-reflections : 235 456.57/118.74 # Paramodulations : 1111394 456.57/118.74 # Factorizations : 44 456.57/118.74 # NegExts : 1 456.57/118.74 # Equation resolutions : 9413 456.57/118.74 # Disequality decompositions : 0 456.57/118.74 # Total rewrite steps : 400325 456.57/118.74 # ...of those cached : 382363 456.57/118.74 # Propositional unsat checks : 0 456.57/118.74 # Propositional check models : 0 456.57/118.74 # Propositional check unsatisfiable : 0 456.57/118.74 # Propositional clauses : 0 456.57/118.74 # Propositional clauses after purity: 0 456.57/118.74 # Propositional unsat core size : 0 456.57/118.74 # Propositional preprocessing time : 0.000 456.57/118.74 # Propositional encoding time : 0.000 456.57/118.74 # Propositional solver time : 0.000 456.57/118.74 # Success case prop preproc time : 0.000 456.57/118.74 # Success case prop encoding time : 0.000 456.57/118.74 # Success case prop solver time : 0.000 456.57/118.74 # Current number of processed clauses : 11976 456.57/118.74 # Positive orientable unit clauses : 1476 456.57/118.74 # Positive unorientable unit clauses: 22 456.57/118.74 # Negative unit clauses : 802 456.57/118.74 # Non-unit-clauses : 9676 456.57/118.74 # Current number of unprocessed clauses: 1034869 456.57/118.74 # ...number of literals in the above : 4410729 456.57/118.74 # Current number of archived formulas : 0 456.57/118.74 # Current number of archived clauses : 5062 456.57/118.74 # Clause-clause subsumption calls (NU) : 43309548 456.57/118.74 # Rec. Clause-clause subsumption calls : 7287319 456.57/118.74 # Non-unit clause-clause subsumptions : 6056 456.57/118.74 # Unit Clause-clause subsumption calls : 1524390 456.57/118.74 # Rewrite failures with RHS unbound : 0 456.57/118.74 # BW rewrite match attempts : 1826 456.57/118.74 # BW rewrite match successes : 469 456.57/118.74 # Condensation attempts : 31720 456.57/118.74 # Condensation successes : 206 456.57/118.74 # Termbank termtop insertions : 28066275 456.57/118.74 # Search garbage collected termcells : 221231 456.57/118.74 456.57/118.74 # ------------------------------------------------- 456.57/118.74 # User time : 111.561 s 456.57/118.74 # System time : 1.004 s 456.57/118.74 # Total time : 112.565 s 456.57/118.74 # Maximum resident set size: 51836 pages 456.57/118.74 456.57/118.74 # ------------------------------------------------- 456.57/118.74 # User time : 112.607 s 456.57/118.74 # System time : 1.041 s 456.57/118.74 # Total time : 113.648 s 456.57/118.74 # Maximum resident set size: 29532 pages 456.57/118.74 % E exiting 456.57/118.75 % E exiting 456.57/118.75 EOF