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 0.11/0.36 % Computer : n010.cluster.edu 0.11/0.36 % Model : x86_64 x86_64 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.36 % Memory : 8046.5625MB 0.11/0.36 % OS : Linux 6.8.0-71-generic 0.11/0.36 % CPULimit : 1440 0.11/0.36 % WCLimit : 180 0.11/0.36 % DateTime : Mon Jul 27 10:02:19 UTC 2026 0.11/0.37 % CPUTime : 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.41 Running first-order theorem proving 0.11/0.41 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 3.05/0.89 % Version: 3.5.1 3.05/0.89 % Preprocessing class: FSMSSMSSSSSNFFN. 3.05/0.89 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.05/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 3.05/0.89 % Starting new_bool_3 with 180s (1) cores 3.05/0.89 % Starting new_bool_1 with 180s (1) cores 3.05/0.89 % Starting sh5l with 180s (1) cores 3.05/0.89 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 972082 completed with status 0 3.05/0.89 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 3.05/0.89 % Preprocessing class: FSMSSMSSSSSNFFN. 3.05/0.89 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.05/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 3.05/0.89 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 3.05/0.89 % No SInE strategy applied 3.05/0.89 % Search class: FHUSM-FFSF21-MFFFFFNN 3.05/0.89 % Scheduled 11 strats onto 5 cores with 900 seconds (900 total) 3.05/0.89 % Starting SubtermCWHack with 82s (1) cores 3.05/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores 3.05/0.89 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 82s (1) cores 3.05/0.89 % Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 82s (1) cores 3.05/0.89 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 82s (1) cores 3.05/0.89 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 972096 completed with status 0 3.05/0.89 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d 3.05/0.89 % Preprocessing class: FSMSSMSSSSSNFFN. 3.05/0.89 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.05/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 3.05/0.89 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 3.05/0.89 % No SInE strategy applied 3.05/0.89 % Search class: FHUSM-FFSF21-MFFFFFNN 3.05/0.89 % Scheduled 11 strats onto 5 cores with 900 seconds (900 total) 3.05/0.89 % Starting SubtermCWHack with 82s (1) cores 3.05/0.89 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores 3.05/0.89 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 82s (1) cores 3.05/0.89 % Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 82s (1) cores 3.05/0.89 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 82s (1) cores 3.05/0.89 % Preprocessing time : 0.001 s 3.05/0.89 % Presaturation interreduction done 3.05/0.89 3.05/0.89 % Proof found! 3.05/0.89 % SZS status Theorem 3.05/0.89 % SZS output start CNFRefutation 3.05/0.89 fof(additive_associativity, axiom, ![X3, X2, X1]:(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', additive_associativity)). 3.05/0.89 fof(additive_idempotence, axiom, ![X1]:(addition(X1,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', additive_idempotence)). 3.05/0.89 fof(order, axiom, ![X1, X2]:((addition(X1,X2)=X2<=>leq(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', order)). 3.05/0.89 fof(additive_commutativity, axiom, ![X1, X2]:(addition(X2,X1)=addition(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', additive_commutativity)). 3.05/0.89 fof(star_unfold_left, axiom, ![X1]:(leq(addition(one,multiplication(star(X1),X1)),star(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', star_unfold_left)). 3.05/0.89 fof(star_unfold_right, axiom, ![X1]:(leq(addition(one,multiplication(X1,star(X1))),star(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', star_unfold_right)). 3.05/0.89 fof(left_distributivity, axiom, ![X1, X2, X3]:(addition(multiplication(X1,X3),multiplication(X2,X3))=multiplication(addition(X1,X2),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', left_distributivity)). 3.05/0.89 fof(right_distributivity, axiom, ![X1, X2, X3]:(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', right_distributivity)). 3.05/0.89 fof(multiplicative_right_identity, axiom, ![X1]:(X1=multiplication(X1,one)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', multiplicative_right_identity)). 3.05/0.89 fof(multiplicative_left_identity, axiom, ![X1]:(multiplication(one,X1)=X1), file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax', multiplicative_left_identity)). 3.05/0.89 fof(a, conjecture, leq(multiplication(a,a),star(a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a)). 3.05/0.89 fof(c_0_11, plain, ![X12, X13, X14]:(addition(X14,addition(X13,X12))=addition(addition(X14,X13),X12)), inference(variable_rename,[status(thm)],[additive_associativity])). 3.05/0.89 fof(c_0_12, plain, ![X15]:(addition(X15,X15)=X15), inference(variable_rename,[status(thm)],[additive_idempotence])). 3.05/0.89 fof(c_0_13, plain, ![X23, X24]:(((addition(X23,X24)!=X24|leq(X23,X24))&(~leq(X23,X24)|addition(X23,X24)=X24))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])])). 3.05/0.89 cnf(c_0_14, plain, (addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_11])). 3.05/0.89 cnf(c_0_15, plain, (addition(X1,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_12])). 3.05/0.89 fof(c_0_16, plain, ![X20, X21]:(addition(X21,X20)=addition(X20,X21)), inference(variable_rename,[status(thm)],[additive_commutativity])). 3.05/0.89 cnf(c_0_17, plain, (leq(X1,X2)|addition(X1,X2)!=X2), inference(split_conjunct,[status(thm)],[c_0_13])). 3.05/0.89 cnf(c_0_18, plain, (addition(X1,addition(X1,X2))=addition(X1,X2)), inference(spm,[status(thm)],[c_0_14, c_0_15])). 3.05/0.89 cnf(c_0_19, plain, (addition(X1,X2)=addition(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_16])). 3.05/0.89 fof(c_0_20, plain, ![X4]:(leq(addition(one,multiplication(star(X4),X4)),star(X4))), inference(variable_rename,[status(thm)],[star_unfold_left])). 3.05/0.89 fof(c_0_21, plain, ![X29]:(leq(addition(one,multiplication(X29,star(X29))),star(X29))), inference(variable_rename,[status(thm)],[star_unfold_right])). 3.05/0.89 cnf(c_0_22, plain, (leq(X1,addition(X1,X2))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 3.05/0.89 cnf(c_0_23, plain, (addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))), inference(spm,[status(thm)],[c_0_19, c_0_14])). 3.05/0.89 cnf(c_0_24, plain, (addition(X1,X2)=X2|~leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_13])). 3.05/0.89 cnf(c_0_25, plain, (leq(addition(one,multiplication(star(X1),X1)),star(X1))), inference(split_conjunct,[status(thm)],[c_0_20])). 3.05/0.89 fof(c_0_26, plain, ![X25, X26, X27]:(addition(multiplication(X25,X27),multiplication(X26,X27))=multiplication(addition(X25,X26),X27)), inference(variable_rename,[status(thm)],[left_distributivity])). 3.05/0.89 cnf(c_0_27, plain, (leq(addition(one,multiplication(X1,star(X1))),star(X1))), inference(split_conjunct,[status(thm)],[c_0_21])). 3.05/0.89 cnf(c_0_28, plain, (leq(X1,addition(X2,addition(X3,X1)))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 3.05/0.89 cnf(c_0_29, plain, (addition(one,addition(star(X1),multiplication(star(X1),X1)))=star(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_14]), c_0_19])). 3.05/0.89 fof(c_0_30, plain, ![X5, X6, X7]:(multiplication(X5,addition(X6,X7))=addition(multiplication(X5,X6),multiplication(X5,X7))), inference(variable_rename,[status(thm)],[right_distributivity])). 3.05/0.89 fof(c_0_31, plain, ![X33]:(X33=multiplication(X33,one)), inference(variable_rename,[status(thm)],[multiplicative_right_identity])). 3.05/0.89 cnf(c_0_32, plain, (addition(multiplication(X1,X2),multiplication(X3,X2))=multiplication(addition(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_26])). 3.05/0.89 cnf(c_0_33, plain, (addition(one,addition(star(X1),multiplication(X1,star(X1))))=star(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_27]), c_0_14]), c_0_19])). 3.05/0.89 fof(c_0_34, plain, ![X16]:(multiplication(one,X16)=X16), inference(variable_rename,[status(thm)],[multiplicative_left_identity])). 3.05/0.89 cnf(c_0_35, plain, (leq(multiplication(star(X1),X1),star(X1))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 3.05/0.89 cnf(c_0_36, plain, (multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))), inference(split_conjunct,[status(thm)],[c_0_30])). 3.05/0.89 cnf(c_0_37, plain, (X1=multiplication(X1,one)), inference(split_conjunct,[status(thm)],[c_0_31])). 3.05/0.89 cnf(c_0_38, plain, (leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X1,X3),X2)!=multiplication(X3,X2)), inference(spm,[status(thm)],[c_0_17, c_0_32])). 3.05/0.89 cnf(c_0_39, plain, (addition(one,star(X1))=star(X1)), inference(spm,[status(thm)],[c_0_18, c_0_33])). 3.05/0.89 cnf(c_0_40, plain, (multiplication(one,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_34])). 3.05/0.89 cnf(c_0_41, plain, (addition(star(X1),multiplication(star(X1),X1))=star(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_35]), c_0_19])). 3.05/0.89 cnf(c_0_42, plain, (addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_19])). 3.05/0.89 cnf(c_0_43, plain, (leq(X1,multiplication(star(X2),X1))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])). 3.05/0.89 cnf(c_0_44, plain, (multiplication(star(X1),addition(X1,one))=star(X1)), inference(rw,[status(thm)],[c_0_41, c_0_42])). 3.05/0.89 cnf(c_0_45, plain, (leq(addition(X1,one),star(X1))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 3.05/0.89 cnf(c_0_46, plain, (addition(X1,star(X1))=star(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_45]), c_0_14]), c_0_39])). 3.05/0.89 fof(c_0_47, negated_conjecture, ~(leq(multiplication(a,a),star(a))), inference(assume_negation,[status(cth)],[a])). 3.05/0.89 cnf(c_0_48, plain, (leq(multiplication(X1,X2),multiplication(star(X1),X2))), inference(spm,[status(thm)],[c_0_38, c_0_46])). 3.05/0.89 cnf(c_0_49, plain, (multiplication(star(X1),addition(one,X1))=star(X1)), inference(spm,[status(thm)],[c_0_44, c_0_19])). 3.05/0.89 fof(c_0_50, negated_conjecture, ~leq(multiplication(a,a),star(a)), inference(fof_simplification,[status(thm)],[c_0_47])). 3.05/0.89 cnf(c_0_51, plain, (leq(multiplication(X1,addition(one,X1)),star(X1))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 3.05/0.89 fof(c_0_52, negated_conjecture, ~leq(multiplication(a,a),star(a)), inference(fof_nnf,[status(thm)],[c_0_50])). 3.05/0.89 cnf(c_0_53, plain, (leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2))))), inference(spm,[status(thm)],[c_0_28, c_0_36])). 3.05/0.89 cnf(c_0_54, plain, (addition(star(X1),multiplication(X1,addition(one,X1)))=star(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_51]), c_0_19])). 3.05/0.89 cnf(c_0_55, negated_conjecture, (~leq(multiplication(a,a),star(a))), inference(split_conjunct,[status(thm)],[c_0_52])). 3.05/0.89 cnf(c_0_56, plain, (leq(multiplication(X1,X1),star(X1))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 3.05/0.89 cnf(c_0_57, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])]), ['proof']). 3.05/0.89 % SZS output end CNFRefutation 3.05/0.89 % Parsed axioms : 17 3.05/0.89 % Removed by relevancy pruning/SinE : 0 3.05/0.89 % Initial clauses : 18 3.05/0.89 % Removed in clause preprocessing : 0 3.05/0.89 % Initial clauses in saturation : 18 3.05/0.89 % Processed clauses : 3829 3.05/0.89 % ...of these trivial : 482 3.05/0.89 % ...subsumed : 2625 3.05/0.89 % ...remaining for further processing : 722 3.05/0.89 % Other redundant clauses eliminated : 37 3.05/0.89 % Clauses deleted for lack of memory : 0 3.05/0.89 % Backward-subsumed : 4 3.05/0.89 % Backward-rewritten : 100 3.05/0.89 % Generated clauses : 30981 3.05/0.89 % ...of the previous two non-redundant : 21617 3.05/0.89 % ...aggressively subsumed : 0 3.05/0.89 % Contextual simplify-reflections : 0 3.05/0.89 % Paramodulations : 30944 3.05/0.89 % Factorizations : 0 3.05/0.89 % NegExts : 0 3.05/0.89 % Equation resolutions : 37 3.05/0.89 % Disequality decompositions : 0 3.05/0.89 % Total rewrite steps : 34684 3.05/0.89 % ...of those cached : 30743 3.05/0.89 % Propositional unsat checks : 0 3.05/0.89 % Propositional check models : 0 3.05/0.89 % Propositional check unsatisfiable : 0 3.05/0.89 % Propositional clauses : 0 3.05/0.89 % Propositional clauses after purity: 0 3.05/0.89 % Propositional unsat core size : 0 3.05/0.89 % Propositional preprocessing time : 0.000 3.05/0.89 % Propositional encoding time : 0.000 3.05/0.89 % Propositional solver time : 0.000 3.05/0.89 % Success case prop preproc time : 0.000 3.05/0.89 % Success case prop encoding time : 0.000 3.05/0.89 % Success case prop solver time : 0.000 3.05/0.89 % Current number of processed clauses : 600 3.05/0.89 % Positive orientable unit clauses : 256 3.05/0.89 % Positive unorientable unit clauses: 5 3.05/0.89 % Negative unit clauses : 0 3.05/0.89 % Non-unit-clauses : 339 3.05/0.89 % Current number of unprocessed clauses: 17653 3.05/0.89 % ...number of literals in the above : 29862 3.05/0.89 % Current number of archived formulas : 0 3.05/0.89 % Current number of archived clauses : 122 3.05/0.89 % Clause-clause subsumption calls (NU) : 39340 3.05/0.89 % Rec. Clause-clause subsumption calls : 39206 3.05/0.89 % Non-unit clause-clause subsumptions : 2527 3.05/0.89 % Unit Clause-clause subsumption calls : 1423 3.05/0.89 % Rewrite failures with RHS unbound : 0 3.05/0.89 % BW rewrite match attempts : 1217 3.05/0.89 % BW rewrite match successes : 110 3.05/0.89 % Condensation attempts : 0 3.05/0.89 % Condensation successes : 0 3.05/0.89 % Termbank termtop insertions : 366486 3.05/0.89 % Search garbage collected termcells : 47 3.05/0.89 3.05/0.89 % ------------------------------------------------- 3.05/0.89 % User time : 0.419 s 3.05/0.89 % System time : 0.027 s 3.05/0.89 % Total time : 0.446 s 3.05/0.89 % Maximum resident set size: 3648 pages 3.05/0.89 3.05/0.89 % ------------------------------------------------- 3.05/0.89 % User time : 2.065 s 3.05/0.89 % System time : 0.113 s 3.05/0.89 % Total time : 2.178 s 3.05/0.89 % Maximum resident set size: 4864 pages 3.05/0.89 % E exiting 3.05/0.89 EOF