0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.17/0.43 % Computer : n013.cluster.edu 0.17/0.43 % Model : x86_64 x86_64 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.43 % Memory : 8046.5625MB 0.17/0.43 % OS : Linux 6.8.0-71-generic 0.17/0.43 % CPULimit : 1440 0.17/0.43 % WCLimit : 180 0.17/0.43 % DateTime : Mon Jul 27 09:50:23 UTC 2026 0.17/0.43 % CPUTime : 0.17/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.26/0.50 Running first-order theorem proving 0.26/0.51 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 0.26/0.56 % Version: 3.5.1 0.26/0.56 % Preprocessing class: FSMSSMSSSSSNFFN. 0.26/0.56 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.26/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.26/0.56 % Starting new_bool_3 with 180s (1) cores 0.26/0.56 % Starting new_bool_1 with 180s (1) cores 0.26/0.56 % Starting sh5l with 180s (1) cores 0.26/0.56 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1293671 completed with status 0 0.26/0.56 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 0.26/0.56 % Preprocessing class: FSMSSMSSSSSNFFN. 0.26/0.56 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.26/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.26/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.26/0.56 % No SInE strategy applied 0.26/0.56 % Search class: FGHNM-FFMF21-SFFFFFNN 0.26/0.56 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.26/0.56 % Starting SubtermCWHack with 82s (1) cores 0.26/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores 0.26/0.56 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 139s (1) cores 0.26/0.56 % Starting new_bool_3 with 127s (1) cores 0.26/0.56 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 82s (1) cores 0.26/0.56 % G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 1293677 completed with status 0 0.26/0.56 % Result found by G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S 0.26/0.56 % Preprocessing class: FSMSSMSSSSSNFFN. 0.26/0.56 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.26/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.26/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.26/0.56 % No SInE strategy applied 0.26/0.56 % Search class: FGHNM-FFMF21-SFFFFFNN 0.26/0.56 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.26/0.56 % Starting SubtermCWHack with 82s (1) cores 0.26/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores 0.26/0.56 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 139s (1) cores 0.26/0.56 % Preprocessing time : 0.003 s 0.26/0.56 % Presaturation interreduction done 0.26/0.56 0.26/0.56 % Proof found! 0.26/0.56 % SZS status Theorem 0.26/0.56 % SZS output start CNFRefutation 0.26/0.56 fof(axiom_1, axiom, ?[X44]:(![X45]:(((~(r1(X45))&~(id(X45,X44)))|(id(X45,X44)&r1(X45))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_1)). 0.26/0.56 fof(thereexistsanevennumberid, conjecture, ?[X54, X13, X14]:((?[X49]:((id(X49,X54)&r3(X13,X14,X49)))&?[X48]:((?[X16]:((r4(X16,X13,X48)&?[X51]:((r2(X51,X16)&?[X57]:((r2(X57,X51)&r1(X57)))))))&id(X48,X54))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thereexistsanevennumberid)). 0.26/0.56 fof(axiom_6, axiom, ![X60, X61]:((id(X61,X60)|~(id(X60,X61)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_6)). 0.26/0.56 fof(axiom_5a, axiom, ![X56]:(?[X57]:((?[X58]:((r1(X58)&id(X57,X58)))&?[X59]:((r4(X56,X59,X57)&r1(X59)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_5a)). 0.26/0.56 fof(axiom_8, axiom, ![X17, X18]:((~(id(X17,X18))|(r1(X18)&r1(X17))|(~(r1(X17))&~(r1(X18))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_8)). 0.26/0.56 fof(axiom_4a, axiom, ![X35]:(?[X36]:((id(X36,X35)&?[X37]:((r1(X37)&r3(X35,X37,X36)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_4a)). 0.26/0.56 fof(axiom_7, axiom, ![X4, X5, X6]:((~(id(X4,X5))|id(X4,X6)|~(id(X5,X6)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_7)). 0.26/0.56 fof(axiom_2, axiom, ![X1]:(?[X2]:(![X3]:(((~(id(X3,X2))&~(r2(X1,X3)))|(id(X3,X2)&r2(X1,X3)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_2)). 0.26/0.56 fof(axiom_5, axiom, ![X34]:(id(X34,X34)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_5)). 0.26/0.56 fof(axiom_1a, axiom, ![X46, X47]:(?[X48]:((?[X49]:((?[X50]:((r3(X46,X50,X49)&r2(X47,X50)))&id(X49,X48)))&?[X51]:((r3(X46,X47,X51)&r2(X51,X48)))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax', axiom_1a)). 0.26/0.56 fof(c_0_10, plain, ?[X44]:(![X45]:(((~r1(X45)&~id(X45,X44))|(id(X45,X44)&r1(X45))))), inference(fof_simplification,[status(thm)],[axiom_1])). 0.26/0.56 fof(c_0_11, negated_conjecture, ~(?[X54, X13, X14]:((?[X49]:((id(X49,X54)&r3(X13,X14,X49)))&?[X48]:((?[X16]:((r4(X16,X13,X48)&?[X51]:((r2(X51,X16)&?[X57]:((r2(X57,X51)&r1(X57)))))))&id(X48,X54)))))), inference(assume_negation,[status(cth)],[thereexistsanevennumberid])). 0.26/0.56 fof(c_0_12, plain, ![X60, X61]:((id(X61,X60)|~id(X60,X61))), inference(fof_simplification,[status(thm)],[axiom_6])). 0.26/0.56 fof(c_0_13, plain, ![X112]:((((id(X112,esk10_0)|~r1(X112))&(r1(X112)|~r1(X112)))&((id(X112,esk10_0)|~id(X112,esk10_0))&(r1(X112)|~id(X112,esk10_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_10])])])])). 0.26/0.56 fof(c_0_14, plain, ![X123]:(((r1(esk19_1(X123))&id(esk18_1(X123),esk19_1(X123)))&(r4(X123,esk20_1(X123),esk18_1(X123))&r1(esk20_1(X123))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])])). 0.26/0.56 fof(c_0_15, plain, ![X17, X18]:((~id(X17,X18)|(r1(X18)&r1(X17))|(~r1(X17)&~r1(X18)))), inference(fof_simplification,[status(thm)],[axiom_8])). 0.26/0.56 fof(c_0_16, negated_conjecture, ![X135, X136, X137, X138, X139, X140, X141, X142]:((~id(X138,X135)|~r3(X136,X137,X138)|(~r4(X140,X136,X139)|(~r2(X141,X140)|(~r2(X142,X141)|~r1(X142)))|~id(X139,X135)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])). 0.26/0.56 fof(c_0_17, plain, ![X102]:((id(esk8_1(X102),X102)&(r1(esk9_1(X102))&r3(X102,esk9_1(X102),esk8_1(X102))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])])). 0.26/0.56 fof(c_0_18, plain, ![X4, X5, X6]:((~id(X4,X5)|id(X4,X6)|~id(X5,X6))), inference(fof_simplification,[status(thm)],[axiom_7])). 0.26/0.56 fof(c_0_19, plain, ![X127, X128]:((id(X128,X127)|~id(X127,X128))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])])). 0.26/0.56 cnf(c_0_20, plain, (id(X1,esk10_0)|~r1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 0.26/0.56 cnf(c_0_21, plain, (r1(esk20_1(X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.26/0.56 fof(c_0_22, plain, ![X84, X85]:((((~r1(X84)|(r1(X85)|~id(X84,X85)))&(~r1(X85)|(r1(X85)|~id(X84,X85))))&((~r1(X84)|(r1(X84)|~id(X84,X85)))&(~r1(X85)|(r1(X84)|~id(X84,X85)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_15])])])). 0.26/0.56 cnf(c_0_23, negated_conjecture, (~id(X1,X2)|~r3(X3,X4,X1)|~r4(X5,X3,X6)|~r2(X7,X5)|~r2(X8,X7)|~r1(X8)|~id(X6,X2)), inference(split_conjunct,[status(thm)],[c_0_16])). 0.26/0.56 cnf(c_0_24, plain, (r3(X1,esk9_1(X1),esk8_1(X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.26/0.56 fof(c_0_25, plain, ![X71, X72, X73]:((~id(X71,X72)|id(X71,X73)|~id(X72,X73))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_18])])). 0.26/0.56 cnf(c_0_26, plain, (id(X1,X2)|~id(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.26/0.56 cnf(c_0_27, plain, (id(esk20_1(X1),esk10_0)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 0.26/0.56 cnf(c_0_28, plain, (r1(X2)|~r1(X1)|~id(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_22])). 0.26/0.56 cnf(c_0_29, plain, (id(esk18_1(X1),esk19_1(X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.26/0.56 cnf(c_0_30, plain, (r1(esk19_1(X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.26/0.56 cnf(c_0_31, negated_conjecture, (~r1(X1)|~r4(X2,X3,X4)|~r2(X1,X5)|~r2(X5,X2)|~id(esk8_1(X3),X6)|~id(X4,X6)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.26/0.56 cnf(c_0_32, plain, (id(esk8_1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.26/0.56 cnf(c_0_33, plain, (id(X1,X3)|~id(X1,X2)|~id(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_25])). 0.26/0.56 cnf(c_0_34, plain, (id(esk10_0,esk20_1(X1))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.26/0.56 cnf(c_0_35, plain, (r1(esk18_1(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])])). 0.26/0.56 fof(c_0_36, plain, ![X1]:(?[X2]:(![X3]:(((~id(X3,X2)&~r2(X1,X3))|(id(X3,X2)&r2(X1,X3)))))), inference(fof_simplification,[status(thm)],[axiom_2])). 0.26/0.56 cnf(c_0_37, negated_conjecture, (~r1(X1)|~r4(X2,X3,X4)|~r2(X1,X5)|~r2(X5,X2)|~id(X4,X3)), inference(spm,[status(thm)],[c_0_31, c_0_32])). 0.26/0.56 cnf(c_0_38, plain, (r4(X1,esk20_1(X1),esk18_1(X1))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.26/0.56 cnf(c_0_39, plain, (id(X1,esk20_1(X2))|~id(X1,esk10_0)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.26/0.56 cnf(c_0_40, plain, (id(esk18_1(X1),esk10_0)), inference(spm,[status(thm)],[c_0_20, c_0_35])). 0.26/0.56 fof(c_0_41, plain, ![X68, X70]:((((id(X70,esk1_1(X68))|~id(X70,esk1_1(X68)))&(r2(X68,X70)|~id(X70,esk1_1(X68))))&((id(X70,esk1_1(X68))|~r2(X68,X70))&(r2(X68,X70)|~r2(X68,X70))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_36])])])])). 0.26/0.56 fof(c_0_42, plain, ![X101]:(id(X101,X101)), inference(variable_rename,[status(thm)],[axiom_5])). 0.26/0.56 cnf(c_0_43, negated_conjecture, (~r1(X1)|~r2(X1,X2)|~r2(X2,X3)|~id(esk18_1(X3),esk20_1(X3))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.26/0.56 cnf(c_0_44, plain, (id(esk18_1(X1),esk20_1(X2))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.26/0.56 cnf(c_0_45, plain, (r2(X1,X2)|~id(X2,esk1_1(X1))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.26/0.56 cnf(c_0_46, plain, (id(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_42])). 0.26/0.56 cnf(c_0_47, negated_conjecture, (~r1(X1)|~r2(X1,X2)|~r2(X2,X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])). 0.26/0.56 cnf(c_0_48, plain, (r2(X1,esk1_1(X1))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.26/0.56 fof(c_0_49, plain, ![X113, X114]:((((r3(X113,esk13_2(X113,X114),esk12_2(X113,X114))&r2(X114,esk13_2(X113,X114)))&id(esk12_2(X113,X114),esk11_2(X113,X114)))&(r3(X113,X114,esk14_2(X113,X114))&r2(esk14_2(X113,X114),esk11_2(X113,X114))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])])). 0.26/0.56 cnf(c_0_50, negated_conjecture, (~r1(X1)|~r2(esk1_1(X1),X2)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.26/0.56 cnf(c_0_51, plain, (r2(X1,esk13_2(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_49])). 0.26/0.56 cnf(c_0_52, plain, (r1(esk9_1(X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.26/0.56 cnf(c_0_53, negated_conjecture, (~r1(X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.26/0.56 cnf(c_0_54, plain, ($false), inference(sr,[status(thm)],[c_0_52, c_0_53]), ['proof']). 0.26/0.56 % SZS output end CNFRefutation 0.26/0.56 % Parsed axioms : 19 0.26/0.56 % Removed by relevancy pruning/SinE : 0 0.26/0.56 % Initial clauses : 59 0.26/0.56 % Removed in clause preprocessing : 16 0.26/0.56 % Initial clauses in saturation : 43 0.26/0.56 % Processed clauses : 200 0.26/0.56 % ...of these trivial : 0 0.26/0.56 % ...subsumed : 26 0.26/0.56 % ...remaining for further processing : 174 0.26/0.56 % Other redundant clauses eliminated : 0 0.26/0.56 % Clauses deleted for lack of memory : 0 0.26/0.56 % Backward-subsumed : 43 0.26/0.56 % Backward-rewritten : 1 0.26/0.56 % Generated clauses : 552 0.26/0.56 % ...of the previous two non-redundant : 451 0.26/0.56 % ...aggressively subsumed : 0 0.26/0.56 % Contextual simplify-reflections : 0 0.26/0.56 % Paramodulations : 540 0.26/0.56 % Factorizations : 0 0.26/0.56 % NegExts : 0 0.26/0.56 % Equation resolutions : 0 0.26/0.56 % Disequality decompositions : 0 0.26/0.56 % Total rewrite steps : 123 0.26/0.56 % ...of those cached : 82 0.26/0.56 % Propositional unsat checks : 0 0.26/0.56 % Propositional check models : 0 0.26/0.56 % Propositional check unsatisfiable : 0 0.26/0.56 % Propositional clauses : 0 0.26/0.56 % Propositional clauses after purity: 0 0.26/0.56 % Propositional unsat core size : 0 0.26/0.56 % Propositional preprocessing time : 0.000 0.26/0.56 % Propositional encoding time : 0.000 0.26/0.56 % Propositional solver time : 0.000 0.26/0.56 % Success case prop preproc time : 0.000 0.26/0.56 % Success case prop encoding time : 0.000 0.26/0.56 % Success case prop solver time : 0.000 0.26/0.56 % Current number of processed clauses : 75 0.26/0.56 % Positive orientable unit clauses : 48 0.26/0.56 % Positive unorientable unit clauses: 0 0.26/0.56 % Negative unit clauses : 1 0.26/0.56 % Non-unit-clauses : 26 0.26/0.56 % Current number of unprocessed clauses: 335 0.26/0.56 % ...number of literals in the above : 850 0.26/0.56 % Current number of archived formulas : 0 0.26/0.56 % Current number of archived clauses : 99 0.26/0.56 % Clause-clause subsumption calls (NU) : 657 0.26/0.56 % Rec. Clause-clause subsumption calls : 323 0.26/0.56 % Non-unit clause-clause subsumptions : 21 0.26/0.56 % Unit Clause-clause subsumption calls : 222 0.26/0.56 % Rewrite failures with RHS unbound : 0 0.26/0.56 % BW rewrite match attempts : 42 0.26/0.56 % BW rewrite match successes : 1 0.26/0.56 % Condensation attempts : 0 0.26/0.56 % Condensation successes : 0 0.26/0.56 % Termbank termtop insertions : 8775 0.26/0.56 % Search garbage collected termcells : 465 0.26/0.56 0.26/0.56 % ------------------------------------------------- 0.26/0.56 % User time : 0.029 s 0.26/0.56 % System time : 0.004 s 0.26/0.56 % Total time : 0.033 s 0.26/0.56 % Maximum resident set size: 3648 pages 0.26/0.56 0.26/0.56 % ------------------------------------------------- 0.26/0.56 % User time : 0.136 s 0.26/0.56 % System time : 0.025 s 0.26/0.56 % Total time : 0.161 s 0.26/0.56 % Maximum resident set size: 4864 pages 0.26/0.56 % E exiting 0.26/0.57 EOF