0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.08/0.36 % Computer : n018.cluster.edu 0.08/0.36 % Model : x86_64 x86_64 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.36 % Memory : 8046.5625MB 0.08/0.36 % OS : Linux 6.8.0-71-generic 0.08/0.36 % CPULimit : 1440 0.08/0.36 % WCLimit : 180 0.08/0.36 % DateTime : Mon Jul 27 09:29:53 UTC 2026 0.08/0.36 % CPUTime : 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.08/0.41 Running first-order theorem proving 0.08/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.44/1.00 % Version: 3.5.1 0.44/1.00 % Preprocessing class: FMLLSMLLSSSNFFN. 0.44/1.00 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.44/1.00 % Starting new_bool_3 with 540s (3) cores 0.44/1.00 % Starting new_bool_1 with 540s (3) cores 0.44/1.00 % Starting sh5l with 180s (1) cores 0.44/1.00 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 180s (1) cores 0.44/1.00 % new_bool_1 with pid 1143226 completed with status 0 0.44/1.00 % Result found by new_bool_1 0.44/1.00 % Preprocessing class: FMLLSMLLSSSNFFN. 0.44/1.00 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.44/1.00 % Starting new_bool_3 with 540s (3) cores 0.44/1.00 % Starting new_bool_1 with 540s (3) cores 0.44/1.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.44/1.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.44/1.00 % Search class: FGHSS-FMLM32-MFFFFFNN 0.44/1.00 % partial match(1): FGHSS-FSLM32-MFFFFFNN 0.44/1.00 % Scheduled 5 strats onto 3 cores with 540 seconds (540 total) 0.44/1.00 % Starting SubtermCWHack with 55s (1) cores 0.44/1.00 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 325s (1) cores 0.44/1.00 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 55s (1) cores 0.44/1.00 % G-E--_208_B07_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1143233 completed with status 0 0.44/1.00 % Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S5PRR_RG_S04AN 0.44/1.00 % Preprocessing class: FMLLSMLLSSSNFFN. 0.44/1.00 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.44/1.00 % Starting new_bool_3 with 540s (3) cores 0.44/1.00 % Starting new_bool_1 with 540s (3) cores 0.44/1.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.44/1.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.44/1.00 % Search class: FGHSS-FMLM32-MFFFFFNN 0.44/1.00 % partial match(1): FGHSS-FSLM32-MFFFFFNN 0.44/1.00 % Scheduled 5 strats onto 3 cores with 540 seconds (540 total) 0.44/1.00 % Starting SubtermCWHack with 55s (1) cores 0.44/1.00 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 325s (1) cores 0.44/1.00 % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 55s (1) cores 0.44/1.00 % Preprocessing time : 0.025 s 0.44/1.00 % Presaturation interreduction done 0.44/1.00 0.44/1.00 % Proof found! 0.44/1.00 % SZS status Theorem 0.44/1.00 % SZS output start CNFRefutation 0.44/1.00 fof('_HAMMER_GOAL', conjecture, ![X225]:((![X267]:((![X268]:((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X268)=>(cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X268,X267)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X267))<=cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X268)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X225),X267)))))<=cColor_2egraph___24t(X267)))<=cCoq_2eInit_2eDatatypes_2enat___24t(X225))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', '_HAMMER_GOAL')). 0.44/1.00 fof('Color.select_terminates', axiom, ![X225]:((![X267]:((cColor_2egraph___24t(X267)=>![X268]:(((cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X268,X267)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X267))<=cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X268)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X225),X267)))<=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X268)))))<=cCoq_2eInit_2eDatatypes_2enat___24t(X225))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', 'Color.select_terminates')). 0.44/1.00 fof('$adef_Color.low_deg_$a1', axiom, ![X23]:(cColor_2elow__deg___24a1(X23)=happ(cColor_2elow__deg,X23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', '$adef_Color.low_deg_$a1')). 0.44/1.00 fof(c_0_3, negated_conjecture, ~(![X225]:((![X267]:((![X268]:((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X268)=>(cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X268,X267)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X267))<=cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X268)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X225),X267)))))<=cColor_2egraph___24t(X267)))<=cCoq_2eInit_2eDatatypes_2enat___24t(X225)))), inference(assume_negation,[status(cth)],['_HAMMER_GOAL'])). 0.44/1.00 fof(c_0_4, plain, ![X225]:((cCoq_2eInit_2eDatatypes_2enat___24t(X225)=>![X267]:((cColor_2egraph___24t(X267)=>![X268]:((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X268)=>(cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X268)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X225),X267))=>cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X268,X267)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X267))))))))), inference(fof_simplification,[status(thm)],['Color.select_terminates'])). 0.44/1.00 fof(c_0_5, negated_conjecture, ~(![X225]:((cCoq_2eInit_2eDatatypes_2enat___24t(X225)=>![X267]:((cColor_2egraph___24t(X267)=>![X268]:((cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X268)=>(cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X268)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X225),X267))=>cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X268,X267)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X267)))))))))), inference(fof_simplification,[status(thm)],[c_0_3])). 0.44/1.00 fof(c_0_6, plain, ![X2723, X2724, X2725]:((~cCoq_2eInit_2eDatatypes_2enat___24t(X2723)|(~cColor_2egraph___24t(X2724)|(~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X2725)|(cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X2725)!=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X2723),X2724))|cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X2725,X2724)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X2724))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])). 0.44/1.00 fof(c_0_7, plain, ![X2726]:(cColor_2elow__deg___24a1(X2726)=happ(cColor_2elow__deg,X2726)), inference(variable_rename,[status(thm)],['$adef_Color.low_deg_$a1'])). 0.44/1.00 fof(c_0_8, negated_conjecture, (cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0)&(cColor_2egraph___24t(esk2_0)&(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(esk3_0)&(cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,esk3_0)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(esk1_0),esk2_0))&~cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(esk3_0,esk2_0)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,esk2_0)))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.44/1.00 cnf(c_0_9, plain, (cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X3,X2)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X2))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1)|~cColor_2egraph___24t(X2)|~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X3)|cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X3)!=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(X1),X2))), inference(split_conjunct,[status(thm)],[c_0_6])). 0.44/1.00 cnf(c_0_10, plain, (cColor_2elow__deg___24a1(X1)=happ(cColor_2elow__deg,X1)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.44/1.00 cnf(c_0_11, negated_conjecture, (cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,esk3_0)=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(cColor_2elow__deg___24a1(esk1_0),esk2_0))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.44/1.00 cnf(c_0_12, plain, (cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X1,X2)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,X2))|cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X1)!=cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(happ(cColor_2elow__deg,X3),X2))|~cColor_2egraph___24t(X2)|~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X1)|~cCoq_2eInit_2eDatatypes_2enat___24t(X3)), inference(rw,[status(thm)],[c_0_9, c_0_10])). 0.44/1.00 cnf(c_0_13, negated_conjecture, (cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2echoose___24a1(cColor_2esubset__nodes___24a2(happ(cColor_2elow__deg,esk1_0),esk2_0))=cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,esk3_0)), inference(spm,[status(thm)],[c_0_11, c_0_10])). 0.44/1.00 cnf(c_0_14, negated_conjecture, (cColor_2egraph___24t(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.44/1.00 cnf(c_0_15, negated_conjecture, (cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.44/1.00 cnf(c_0_16, negated_conjecture, (~cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(esk3_0,esk2_0)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_8])). 0.44/1.00 cnf(c_0_17, negated_conjecture, (cCoq_2eInit_2ePeano_2elt___24a2(cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,cColor_2eremove__node___24a2(X1,esk2_0)),cCoq_2eFSets_2eFMapPositive_2ePositiveMap_2ecardinal___24a2(cColor_2enodeset,esk2_0))|cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,X1)!=cCoq_2eInit_2eDatatypes_2eSome___24a2(cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt,esk3_0)|~cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_15])])). 0.44/1.00 cnf(c_0_18, negated_conjecture, (cCoq_2eFSets_2eFSetPositive_2ePositiveSet_2eelt___24t(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.44/1.00 cnf(c_0_19, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']). 0.44/1.00 % SZS output end CNFRefutation 0.44/1.00 % Parsed axioms : 2868 0.44/1.00 % Removed by relevancy pruning/SinE : 2711 0.44/1.00 % Initial clauses : 708 0.44/1.00 % Removed in clause preprocessing : 19 0.44/1.00 % Initial clauses in saturation : 689 0.44/1.00 % Processed clauses : 1157 0.44/1.00 % ...of these trivial : 0 0.44/1.00 % ...subsumed : 408 0.44/1.00 % ...remaining for further processing : 749 0.44/1.00 % Other redundant clauses eliminated : 9 0.44/1.00 % Clauses deleted for lack of memory : 0 0.44/1.00 % Backward-subsumed : 2 0.44/1.00 % Backward-rewritten : 1 0.44/1.00 % Generated clauses : 763 0.44/1.00 % ...of the previous two non-redundant : 705 0.44/1.00 % ...aggressively subsumed : 0 0.44/1.00 % Contextual simplify-reflections : 30 0.44/1.00 % Paramodulations : 743 0.44/1.00 % Factorizations : 0 0.44/1.00 % NegExts : 0 0.44/1.00 % Equation resolutions : 20 0.44/1.00 % Disequality decompositions : 0 0.44/1.00 % Total rewrite steps : 266 0.44/1.00 % ...of those cached : 251 0.44/1.00 % Propositional unsat checks : 0 0.44/1.00 % Propositional check models : 0 0.44/1.00 % Propositional check unsatisfiable : 0 0.44/1.00 % Propositional clauses : 0 0.44/1.00 % Propositional clauses after purity: 0 0.44/1.00 % Propositional unsat core size : 0 0.44/1.00 % Propositional preprocessing time : 0.000 0.44/1.00 % Propositional encoding time : 0.000 0.44/1.00 % Propositional solver time : 0.000 0.44/1.00 % Success case prop preproc time : 0.000 0.44/1.00 % Success case prop encoding time : 0.000 0.44/1.00 % Success case prop solver time : 0.000 0.44/1.00 % Current number of processed clauses : 259 0.44/1.00 % Positive orientable unit clauses : 27 0.44/1.00 % Positive unorientable unit clauses: 1 0.44/1.00 % Negative unit clauses : 8 0.44/1.00 % Non-unit-clauses : 223 0.44/1.00 % Current number of unprocessed clauses: 712 0.44/1.00 % ...number of literals in the above : 4171 0.44/1.00 % Current number of archived formulas : 0 0.44/1.00 % Current number of archived clauses : 481 0.44/1.00 % Clause-clause subsumption calls (NU) : 145787 0.44/1.00 % Rec. Clause-clause subsumption calls : 10909 0.44/1.00 % Non-unit clause-clause subsumptions : 436 0.44/1.00 % Unit Clause-clause subsumption calls : 121 0.44/1.00 % Rewrite failures with RHS unbound : 0 0.44/1.00 % BW rewrite match attempts : 4 0.44/1.00 % BW rewrite match successes : 4 0.44/1.00 % Condensation attempts : 0 0.44/1.00 % Condensation successes : 0 0.44/1.00 % Termbank termtop insertions : 165206 0.44/1.00 % Search garbage collected termcells : 49703 0.44/1.00 0.44/1.00 % ------------------------------------------------- 0.44/1.00 % User time : 0.254 s 0.44/1.00 % System time : 0.030 s 0.44/1.00 % Total time : 0.284 s 0.44/1.00 % Maximum resident set size: 16376 pages 0.44/1.00 0.44/1.00 % ------------------------------------------------- 0.44/1.00 % User time : 0.905 s 0.44/1.00 % System time : 0.086 s 0.44/1.00 % Total time : 0.991 s 0.44/1.00 % Maximum resident set size: 12544 pages 0.44/1.00 % E exiting 0.44/1.00 EOF