0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n015.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Thu Jul 4 11:17:24 EDT 2024 0.13/0.35 % CPUTime : 0.21/0.51 Running higher-order theorem proving 2.73/2.90 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=180 /export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p 177.54/47.51 # Version: 3.2.0-ho 177.54/47.51 # partial match(2): HMLMSMSMSSLCHFA 177.54/47.51 # Preprocessing class: HMLLSMLMSSLCHFA. 177.54/47.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 177.54/47.51 # Starting new_ho_10 with 900s (5) cores 177.54/47.51 # Starting sh5l with 180s (1) cores 177.54/47.51 # Starting new_bool_1 with 180s (1) cores 177.54/47.51 # Starting new_bool_2 with 180s (1) cores 177.54/47.51 # new_bool_1 with pid 18736 completed with status 0 177.54/47.51 # Result found by new_bool_1 177.54/47.51 # partial match(2): HMLMSMSMSSLCHFA 177.54/47.51 # Preprocessing class: HMLLSMLMSSLCHFA. 177.54/47.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 177.54/47.51 # Starting new_ho_10 with 900s (5) cores 177.54/47.51 # Starting sh5l with 180s (1) cores 177.54/47.51 # Starting new_bool_1 with 180s (1) cores 177.54/47.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 177.54/47.51 # Search class: HGHSM-SMLM32-DHFFFSBN 177.54/47.51 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 177.54/47.51 # Starting new_ho_10 with 109s (1) cores 177.54/47.51 # new_ho_10 with pid 18739 completed with status 0 177.54/47.51 # Result found by new_ho_10 177.54/47.51 # partial match(2): HMLMSMSMSSLCHFA 177.54/47.51 # Preprocessing class: HMLLSMLMSSLCHFA. 177.54/47.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 177.54/47.51 # Starting new_ho_10 with 900s (5) cores 177.54/47.51 # Starting sh5l with 180s (1) cores 177.54/47.51 # Starting new_bool_1 with 180s (1) cores 177.54/47.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 177.54/47.51 # Search class: HGHSM-SMLM32-DHFFFSBN 177.54/47.51 # Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 177.54/47.51 # Starting new_ho_10 with 109s (1) cores 177.54/47.51 # Preprocessing time : 0.106 s 177.54/47.51 # Presaturation interreduction done 177.54/47.51 177.54/47.51 # Proof found! 177.54/47.51 # SZS status Theorem 177.54/47.51 # SZS output start CNFRefutation 177.54/47.51 thf(decl_sort1, type, vEBT_VEBT: $tType). 177.54/47.51 thf(decl_sort2, type, nat: $tType). 177.54/47.51 thf(decl_sort3, type, set_nat: $tType). 177.54/47.51 thf(decl_1131, type, collect_nat: (nat > $o) > set_nat). 177.54/47.51 thf(decl_1397, type, vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o). 177.54/47.51 thf(decl_1407, type, vEBT_invar_vebt: vEBT_VEBT > nat > $o). 177.54/47.51 thf(decl_1408, type, vEBT_set_vebt: vEBT_VEBT > set_nat). 177.54/47.51 thf(decl_1417, type, vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT). 177.54/47.51 thf(decl_1470, type, vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat). 177.54/47.51 thf(decl_1471, type, vEBT_vebt_member: vEBT_VEBT > nat > $o). 177.54/47.51 thf(decl_1527, type, member_nat: nat > set_nat > $o). 177.54/47.51 thf(decl_1577, type, n: nat). 177.54/47.51 thf(decl_1579, type, s: set_nat). 177.54/47.51 thf(decl_1580, type, t: vEBT_VEBT). 177.54/47.51 thf(decl_1581, type, x: nat). 177.54/47.51 thf(decl_1582, type, xa: nat). 177.54/47.51 thf(fact_5_set__vebt__set__vebt_H__valid, axiom, ![X10410:vEBT_VEBT, X26:nat]:((((vEBT_set_vebt @ X10410)=(vEBT_VEBT_set_vebt @ X10410))<=(vEBT_invar_vebt @ X10410 @ X26))), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', fact_5_set__vebt__set__vebt_H__valid)). 177.54/47.51 thf(fact_6048_set__vebt_H__def, axiom, ((vEBT_VEBT_set_vebt)=(^[X1870:vEBT_VEBT]:(collect_nat @ (vEBT_vebt_member @ X1870)))), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', fact_6048_set__vebt_H__def)). 177.54/47.51 thf(fact_6533_set__vebt__def, axiom, ((vEBT_set_vebt)=(^[X1870:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ X1870)))), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', fact_6533_set__vebt__def)). 177.54/47.51 thf(fact_60_mem__Collect__eq, axiom, ![X9284:nat, X9285:nat > $o]:(((member_nat @ X9284 @ (collect_nat @ X9285))<=>(X9285 @ X9284))), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', fact_60_mem__Collect__eq)). 177.54/47.51 thf(conj_1, hypothesis, (vEBT_invar_vebt @ t @ n), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', conj_1)). 177.54/47.51 thf(conj_0, hypothesis, ((s)=(vEBT_set_vebt @ t)), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', conj_0)). 177.54/47.51 thf(conj_4, hypothesis, ~((member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x)))), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', conj_4)). 177.54/47.51 thf(fact_23_dele__bmo__cont__corr, axiom, ![X13718:vEBT_VEBT, X26:nat, X3:nat, X13719:nat]:(((vEBT_invar_vebt @ X13718 @ X26)=>((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X13718 @ X3) @ X13719)<=>(((X3)!=(X13719))&(vEBT_V8194947554948674370ptions @ X13718 @ X13719))))), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', fact_23_dele__bmo__cont__corr)). 177.54/47.51 thf(fact_25_both__member__options__equiv__member, axiom, ![X11590:vEBT_VEBT, X26:nat, X3:nat]:(((vEBT_invar_vebt @ X11590 @ X26)=>((vEBT_V8194947554948674370ptions @ X11590 @ X3)<=>(vEBT_vebt_member @ X11590 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', fact_25_both__member__options__equiv__member)). 177.54/47.51 thf(conj_3, hypothesis, (member_nat @ xa @ (vEBT_set_vebt @ t)), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', conj_3)). 177.54/47.51 thf(conj_5, conjecture, ((xa)=(x)), file('/export/starexec/sandbox/tmp/tmp.k4s6j0tcpW/E---3.1_18652.p', conj_5)). 177.54/47.51 thf(c_0_11, plain, ![X10410:vEBT_VEBT, X26:nat]:(((vEBT_invar_vebt @ X10410 @ X26)=>((vEBT_set_vebt @ X10410)=(vEBT_VEBT_set_vebt @ X10410)))), inference(fof_simplification,[status(thm)],[fact_5_set__vebt__set__vebt_H__valid])). 177.54/47.51 thf(c_0_12, plain, ((vEBT_VEBT_set_vebt)=(^[Z0/* 1131 */:vEBT_VEBT]:(collect_nat @ (vEBT_vebt_member @ Z0)))), inference(fof_simplification,[status(thm)],[fact_6048_set__vebt_H__def])). 177.54/47.51 thf(c_0_13, plain, ![X27734:vEBT_VEBT, X27735:nat]:((~(vEBT_invar_vebt @ X27734 @ X27735)|((vEBT_set_vebt @ X27734)=(vEBT_VEBT_set_vebt @ X27734)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 177.54/47.51 thf(c_0_14, plain, ((vEBT_VEBT_set_vebt)=(^[Z0/* 1131 */:vEBT_VEBT]:(collect_nat @ (vEBT_vebt_member @ Z0)))), inference(split_conjunct,[status(thm)],[c_0_12])). 177.54/47.51 thf(c_0_15, plain, ((vEBT_set_vebt)=(^[Z0/* 1131 */:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ Z0)))), inference(fof_simplification,[status(thm)],[fact_6533_set__vebt__def])). 177.54/47.51 thf(c_0_16, plain, ![X28680:nat, X28681:nat > $o]:(((~(member_nat @ X28680 @ (collect_nat @ X28681))|(X28681 @ X28680))&(~(X28681 @ X28680)|(member_nat @ X28680 @ (collect_nat @ X28681))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_60_mem__Collect__eq])])])). 177.54/47.51 thf(c_0_17, plain, ![X6:vEBT_VEBT, X1:nat]:((((vEBT_set_vebt @ X6)=(vEBT_VEBT_set_vebt @ X6))|~((vEBT_invar_vebt @ X6 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 177.54/47.51 thf(c_0_18, hypothesis, (vEBT_invar_vebt @ t @ n), inference(split_conjunct,[status(thm)],[conj_1])). 177.54/47.51 thf(c_0_19, plain, ![X6:vEBT_VEBT]:(((vEBT_VEBT_set_vebt @ X6)=(collect_nat @ (vEBT_vebt_member @ X6)))), inference(arg_cong,[status(thm)],[c_0_14])). 177.54/47.51 thf(c_0_20, hypothesis, ((s)=(vEBT_set_vebt @ t)), inference(split_conjunct,[status(thm)],[conj_0])). 177.54/47.51 thf(c_0_21, hypothesis, ~(member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x))), inference(fof_simplification,[status(thm)],[conj_4])). 177.54/47.51 thf(c_0_22, plain, ((vEBT_set_vebt)=(^[Z0/* 1131 */:vEBT_VEBT]:(collect_nat @ (vEBT_V8194947554948674370ptions @ Z0)))), inference(split_conjunct,[status(thm)],[c_0_15])). 177.54/47.51 thf(c_0_23, plain, ![X13718:vEBT_VEBT, X26:nat, X3:nat, X13719:nat]:(((vEBT_invar_vebt @ X13718 @ X26)=>((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X13718 @ X3) @ X13719)<=>(((X3)!=(X13719))&(vEBT_V8194947554948674370ptions @ X13718 @ X13719))))), inference(fof_simplification,[status(thm)],[fact_23_dele__bmo__cont__corr])). 177.54/47.51 thf(c_0_24, plain, ![X28825:vEBT_VEBT, X28826:nat, X28827:nat]:(((~(vEBT_V8194947554948674370ptions @ X28825 @ X28827)|(vEBT_vebt_member @ X28825 @ X28827)|~(vEBT_invar_vebt @ X28825 @ X28826))&(~(vEBT_vebt_member @ X28825 @ X28827)|(vEBT_V8194947554948674370ptions @ X28825 @ X28827)|~(vEBT_invar_vebt @ X28825 @ X28826)))), 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])])])])). 177.54/47.51 thf(c_0_25, plain, ![X1:nat, X106:nat > $o]:(((X106 @ X1)|~((member_nat @ X1 @ (collect_nat @ X106))))), inference(split_conjunct,[status(thm)],[c_0_16])). 177.54/47.51 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])). 177.54/47.51 thf(c_0_27, hypothesis, (member_nat @ xa @ (vEBT_set_vebt @ t)), inference(split_conjunct,[status(thm)],[conj_3])). 177.54/47.51 thf(c_0_28, hypothesis, ~(member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x))), inference(fof_nnf,[status(thm)],[c_0_21])). 177.54/47.51 thf(c_0_29, plain, ![X106:nat > $o, X1:nat]:(((member_nat @ X1 @ (collect_nat @ X106))|~((X106 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_16])). 177.54/47.51 thf(c_0_30, plain, ![X6:vEBT_VEBT]:(((collect_nat @ (vEBT_V8194947554948674370ptions @ X6))=(vEBT_set_vebt @ X6))), inference(arg_cong,[status(thm)],[c_0_22])). 177.54/47.51 thf(c_0_31, plain, ![X28832:vEBT_VEBT, X28833:nat, X28834:nat, X28835:nat]:((((((X28834)!=(X28835))|~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X28832 @ X28834) @ X28835)|~(vEBT_invar_vebt @ X28832 @ X28833))&((vEBT_V8194947554948674370ptions @ X28832 @ X28835)|~(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X28832 @ X28834) @ X28835)|~(vEBT_invar_vebt @ X28832 @ X28833)))&(((X28834)=(X28835))|~(vEBT_V8194947554948674370ptions @ X28832 @ X28835)|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X28832 @ X28834) @ X28835)|~(vEBT_invar_vebt @ X28832 @ X28833)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])). 177.54/47.51 thf(c_0_32, plain, ![X1:nat, X6:vEBT_VEBT, X2:nat]:(((vEBT_V8194947554948674370ptions @ X6 @ X1)|~((vEBT_vebt_member @ X6 @ X1))|~((vEBT_invar_vebt @ X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_24])). 177.54/47.51 thf(c_0_33, hypothesis, ![X1:nat]:(((vEBT_vebt_member @ t @ X1)|~((member_nat @ X1 @ s)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 177.54/47.51 thf(c_0_34, hypothesis, (member_nat @ xa @ s), inference(rw,[status(thm)],[c_0_27, c_0_20])). 177.54/47.51 thf(c_0_35, negated_conjecture, ((xa)!=(x)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_5])])). 177.54/47.51 thf(c_0_36, hypothesis, ~((member_nat @ xa @ (vEBT_set_vebt @ (vEBT_vebt_delete @ t @ x)))), inference(split_conjunct,[status(thm)],[c_0_28])). 177.54/47.51 thf(c_0_37, plain, ![X6:vEBT_VEBT, X1:nat]:(((member_nat @ X1 @ (vEBT_set_vebt @ X6))|~((vEBT_V8194947554948674370ptions @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 177.54/47.51 thf(c_0_38, plain, ![X1:nat, X2:nat, X6:vEBT_VEBT, X3:nat]:((((X1)=(X2))|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ X6 @ X1) @ X2)|~((vEBT_V8194947554948674370ptions @ X6 @ X2))|~((vEBT_invar_vebt @ X6 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 177.54/47.51 thf(c_0_39, hypothesis, ![X1:nat]:(((vEBT_V8194947554948674370ptions @ t @ X1)|~((vEBT_vebt_member @ t @ X1)))), inference(spm,[status(thm)],[c_0_32, c_0_18])). 177.54/47.51 thf(c_0_40, hypothesis, (vEBT_vebt_member @ t @ xa), inference(spm,[status(thm)],[c_0_33, c_0_34])). 177.54/47.51 thf(c_0_41, negated_conjecture, ((xa)!=(x)), inference(fof_nnf,[status(thm)],[c_0_35])). 177.54/47.51 thf(c_0_42, hypothesis, ~((vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ t @ x) @ xa)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 177.54/47.51 thf(c_0_43, hypothesis, ![X1:nat, X2:nat]:((((X1)=(X2))|(vEBT_V8194947554948674370ptions @ (vEBT_vebt_delete @ t @ X1) @ X2)|~((vEBT_V8194947554948674370ptions @ t @ X2)))), inference(spm,[status(thm)],[c_0_38, c_0_18])). 177.54/47.51 thf(c_0_44, hypothesis, (vEBT_V8194947554948674370ptions @ t @ xa), inference(spm,[status(thm)],[c_0_39, c_0_40])). 177.54/47.51 thf(c_0_45, negated_conjecture, ((xa)!=(x)), inference(split_conjunct,[status(thm)],[c_0_41])). 177.54/47.51 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']). 177.54/47.51 # SZS output end CNFRefutation 177.54/47.51 # Parsed axioms : 10921 177.54/47.51 # Removed by relevancy pruning/SinE : 8356 177.54/47.51 # Initial clauses : 8511 177.54/47.51 # Removed in clause preprocessing : 2590 177.54/47.51 # Initial clauses in saturation : 5921 177.54/47.51 # Processed clauses : 31275 177.54/47.51 # ...of these trivial : 1037 177.54/47.51 # ...subsumed : 12675 177.54/47.51 # ...remaining for further processing : 17563 177.54/47.51 # Other redundant clauses eliminated : 8885 177.54/47.51 # Clauses deleted for lack of memory : 0 177.54/47.51 # Backward-subsumed : 154 177.54/47.51 # Backward-rewritten : 274 177.54/47.51 # Generated clauses : 1094892 177.54/47.51 # ...of the previous two non-redundant : 1031690 177.54/47.51 # ...aggressively subsumed : 0 177.54/47.51 # Contextual simplify-reflections : 234 177.54/47.51 # Paramodulations : 1085120 177.54/47.51 # Factorizations : 44 177.54/47.51 # NegExts : 1 177.54/47.51 # Equation resolutions : 8974 177.54/47.51 # Disequality decompositions : 0 177.54/47.51 # Total rewrite steps : 402653 177.54/47.51 # ...of those cached : 384438 177.54/47.51 # Propositional unsat checks : 0 177.54/47.51 # Propositional check models : 0 177.54/47.51 # Propositional check unsatisfiable : 0 177.54/47.51 # Propositional clauses : 0 177.54/47.51 # Propositional clauses after purity: 0 177.54/47.51 # Propositional unsat core size : 0 177.54/47.51 # Propositional preprocessing time : 0.000 177.54/47.51 # Propositional encoding time : 0.000 177.54/47.51 # Propositional solver time : 0.000 177.54/47.51 # Success case prop preproc time : 0.000 177.54/47.51 # Success case prop encoding time : 0.000 177.54/47.51 # Success case prop solver time : 0.000 177.54/47.51 # Current number of processed clauses : 11717 177.54/47.51 # Positive orientable unit clauses : 1471 177.54/47.51 # Positive unorientable unit clauses: 22 177.54/47.51 # Negative unit clauses : 814 177.54/47.51 # Non-unit-clauses : 9410 177.54/47.51 # Current number of unprocessed clauses: 1009300 177.54/47.51 # ...number of literals in the above : 4202485 177.54/47.51 # Current number of archived formulas : 0 177.54/47.51 # Current number of archived clauses : 4998 177.54/47.51 # Clause-clause subsumption calls (NU) : 40275773 177.54/47.51 # Rec. Clause-clause subsumption calls : 8580421 177.54/47.51 # Non-unit clause-clause subsumptions : 5953 177.54/47.51 # Unit Clause-clause subsumption calls : 1439079 177.54/47.51 # Rewrite failures with RHS unbound : 0 177.54/47.51 # BW rewrite match attempts : 1817 177.54/47.51 # BW rewrite match successes : 462 177.54/47.51 # Condensation attempts : 31276 177.54/47.51 # Condensation successes : 198 177.54/47.51 # Termbank termtop insertions : 27180504 177.54/47.51 # Search garbage collected termcells : 221060 177.54/47.51 177.54/47.51 # ------------------------------------------------- 177.54/47.51 # User time : 42.738 s 177.54/47.51 # System time : 0.631 s 177.54/47.51 # Total time : 43.368 s 177.54/47.51 # Maximum resident set size: 51252 pages 177.54/47.51 177.54/47.51 # ------------------------------------------------- 177.54/47.51 # User time : 43.708 s 177.54/47.51 # System time : 0.661 s 177.54/47.51 # Total time : 44.369 s 177.54/47.51 # Maximum resident set size: 29300 pages 177.54/47.51 % E---3.1 exiting 177.54/47.51 % E exiting 177.54/47.51 EOF