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 0.11/0.37 % Computer : n028.cluster.edu 0.11/0.37 % Model : x86_64 x86_64 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.37 % Memory : 8046.5625MB 0.11/0.37 % OS : Linux 6.8.0-71-generic 0.11/0.37 % CPULimit : 1440 0.11/0.37 % WCLimit : 180 0.11/0.37 % DateTime : Mon Jul 27 09:00:32 UTC 2026 0.11/0.38 % CPUTime : 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.42 Running first-order theorem proving 0.11/0.42 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 0.11/0.45 % Version: 3.5.1 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN. 0.11/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.11/0.45 % Starting new_bool_3 with 180s (1) cores 0.11/0.45 % Starting new_bool_1 with 180s (1) cores 0.11/0.45 % Starting sh5l with 180s (1) cores 0.11/0.45 % new_bool_3 with pid 2602046 completed with status 0 0.11/0.45 % Result found by new_bool_3 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN. 0.11/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.11/0.45 % Starting new_bool_3 with 180s (1) cores 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.11/0.45 % Search class: FGUSS-FFSF21-MFFFFFNN 0.11/0.45 % partial match(1): FGUSS-FFSF22-MFFFFFNN 0.11/0.45 % Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.11/0.45 % Starting SubtermCWHack with 19s (1) cores 0.11/0.45 % SubtermCWHack with pid 2602050 completed with status 0 0.11/0.45 % Result found by SubtermCWHack 0.11/0.45 % Preprocessing class: FSMSSMSSSSSNFFN. 0.11/0.45 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.11/0.45 % Starting new_bool_3 with 180s (1) cores 0.11/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.11/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.11/0.45 % Search class: FGUSS-FFSF21-MFFFFFNN 0.11/0.45 % partial match(1): FGUSS-FFSF22-MFFFFFNN 0.11/0.45 % Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.11/0.45 % Starting SubtermCWHack with 19s (1) cores 0.11/0.45 % Preprocessing time : 0.001 s 0.11/0.45 0.11/0.45 % Proof found! 0.11/0.45 % SZS status Theorem 0.11/0.45 % SZS output start CNFRefutation 0.11/0.45 fof(goal_016, conjecture, ?[X3, X4]:(~((ord(X3)=>(ord(merge(X3,X4))<=~(ord(X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_016)). 0.11/0.45 fof(axiom_009, axiom, ![X7]:(X7=merge(nil,X7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_009)). 0.11/0.45 fof(axiom_007, axiom, ![X5]:(~(leqNat(s(X5),z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_007)). 0.11/0.45 fof(axiom_015, axiom, ![X7, X6, X3]:((ord(cons(X7,cons(X6,X3)))<=>(leqNat(X7,X6)&ord(cons(X6,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_015)). 0.11/0.45 fof(axiom_013, axiom, ord(nil), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_013)). 0.11/0.45 fof(c_0_5, negated_conjecture, ~(?[X3, X4]:(~((ord(X3)=>(ord(merge(X3,X4))<=~(ord(X4))))))), inference(assume_negation,[status(cth)],[goal_016])). 0.11/0.45 fof(c_0_6, negated_conjecture, ~(?[X3, X4]:(~((ord(X3)=>(~ord(X4)=>ord(merge(X3,X4))))))), inference(fof_simplification,[status(thm)],[c_0_5])). 0.11/0.45 fof(c_0_7, negated_conjecture, ![X9, X10]:((~ord(X9)|(ord(X10)|ord(merge(X9,X10))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 0.11/0.45 fof(c_0_8, plain, ![X25]:(X25=merge(nil,X25)), inference(variable_rename,[status(thm)],[axiom_009])). 0.11/0.45 fof(c_0_9, plain, ![X5]:(~leqNat(s(X5),z)), inference(fof_simplification,[status(thm)],[axiom_007])). 0.11/0.45 fof(c_0_10, plain, ![X12, X13, X14]:((((leqNat(X12,X13)|~ord(cons(X12,cons(X13,X14))))&(ord(cons(X13,X14))|~ord(cons(X12,cons(X13,X14)))))&(~leqNat(X12,X13)|~ord(cons(X13,X14))|ord(cons(X12,cons(X13,X14)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_015])])])])). 0.11/0.45 cnf(c_0_11, negated_conjecture, (ord(X2)|ord(merge(X1,X2))|~ord(X1)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.11/0.45 cnf(c_0_12, plain, (X1=merge(nil,X1)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.11/0.45 cnf(c_0_13, plain, (ord(nil)), inference(split_conjunct,[status(thm)],[axiom_013])). 0.11/0.45 fof(c_0_14, plain, ![X30]:(~leqNat(s(X30),z)), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])])). 0.11/0.45 cnf(c_0_15, plain, (leqNat(X1,X2)|~ord(cons(X1,cons(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_10])). 0.11/0.45 cnf(c_0_16, negated_conjecture, (ord(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])])). 0.11/0.45 cnf(c_0_17, plain, (~leqNat(s(X1),z)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.11/0.45 cnf(c_0_18, plain, (leqNat(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])). 0.11/0.45 cnf(c_0_19, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])]), ['proof']). 0.11/0.45 % SZS output end CNFRefutation 0.11/0.45 % Parsed axioms : 16 0.11/0.45 % Removed by relevancy pruning/SinE : 4 0.11/0.45 % Initial clauses : 15 0.11/0.45 % Removed in clause preprocessing : 0 0.11/0.45 % Initial clauses in saturation : 15 0.11/0.45 % Processed clauses : 12 0.11/0.45 % ...of these trivial : 0 0.11/0.45 % ...subsumed : 0 0.11/0.45 % ...remaining for further processing : 12 0.11/0.45 % Other redundant clauses eliminated : 0 0.11/0.45 % Clauses deleted for lack of memory : 0 0.11/0.45 % Backward-subsumed : 0 0.11/0.45 % Backward-rewritten : 6 0.11/0.45 % Generated clauses : 2 0.11/0.45 % ...of the previous two non-redundant : 1 0.11/0.45 % ...aggressively subsumed : 0 0.11/0.45 % Contextual simplify-reflections : 0 0.11/0.45 % Paramodulations : 2 0.11/0.45 % Factorizations : 0 0.11/0.45 % NegExts : 0 0.11/0.45 % Equation resolutions : 0 0.11/0.45 % Disequality decompositions : 0 0.11/0.45 % Total rewrite steps : 8 0.11/0.45 % ...of those cached : 0 0.11/0.45 % Propositional unsat checks : 0 0.11/0.45 % Propositional check models : 0 0.11/0.45 % Propositional check unsatisfiable : 0 0.11/0.45 % Propositional clauses : 0 0.11/0.45 % Propositional clauses after purity: 0 0.11/0.45 % Propositional unsat core size : 0 0.11/0.45 % Propositional preprocessing time : 0.000 0.11/0.45 % Propositional encoding time : 0.000 0.11/0.45 % Propositional solver time : 0.000 0.11/0.45 % Success case prop preproc time : 0.000 0.11/0.45 % Success case prop encoding time : 0.000 0.11/0.45 % Success case prop solver time : 0.000 0.11/0.45 % Current number of processed clauses : 6 0.11/0.45 % Positive orientable unit clauses : 4 0.11/0.45 % Positive unorientable unit clauses: 0 0.11/0.45 % Negative unit clauses : 2 0.11/0.45 % Non-unit-clauses : 0 0.11/0.45 % Current number of unprocessed clauses: 4 0.11/0.45 % ...number of literals in the above : 9 0.11/0.45 % Current number of archived formulas : 0 0.11/0.45 % Current number of archived clauses : 6 0.11/0.45 % Clause-clause subsumption calls (NU) : 0 0.11/0.45 % Rec. Clause-clause subsumption calls : 0 0.11/0.45 % Non-unit clause-clause subsumptions : 0 0.11/0.45 % Unit Clause-clause subsumption calls : 0 0.11/0.45 % Rewrite failures with RHS unbound : 0 0.11/0.45 % BW rewrite match attempts : 8 0.11/0.45 % BW rewrite match successes : 8 0.11/0.45 % Condensation attempts : 0 0.11/0.45 % Condensation successes : 0 0.11/0.45 % Termbank termtop insertions : 896 0.11/0.45 % Search garbage collected termcells : 127 0.11/0.45 0.11/0.45 % ------------------------------------------------- 0.11/0.45 % User time : 0.004 s 0.11/0.45 % System time : 0.003 s 0.11/0.45 % Total time : 0.007 s 0.11/0.45 % Maximum resident set size: 3592 pages 0.11/0.45 0.11/0.45 % ------------------------------------------------- 0.11/0.45 % User time : 0.005 s 0.11/0.45 % System time : 0.008 s 0.11/0.45 % Total time : 0.013 s 0.11/0.45 % Maximum resident set size: 4608 pages 0.11/0.45 % E exiting 0.11/0.45 EOF