0.00/0.01 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.03/0.33 % Computer : n024.cluster.edu 0.03/0.33 % Model : x86_64 x86_64 0.03/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.03/0.33 % Memory : 8046.5625MB 0.03/0.33 % OS : Linux 6.8.0-71-generic 0.03/0.33 % CPULimit : 1440 0.03/0.33 % WCLimit : 180 0.03/0.33 % DateTime : Mon Jul 27 04:15:32 UTC 2026 0.03/0.34 % CPUTime : 0.03/0.34 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.03/0.36 Running first-order theorem proving 0.03/0.36 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 0.03/0.37 % Version: 3.5.1 0.03/0.37 % Preprocessing class: FSMSSMSSSSSNFFN. 0.03/0.37 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.03/0.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.03/0.37 % Starting new_bool_3 with 180s (1) cores 0.03/0.37 % Starting new_bool_1 with 180s (1) cores 0.03/0.37 % Starting sh5l with 180s (1) cores 0.03/0.37 % new_bool_3 with pid 2833571 completed with status 0 0.03/0.37 % Result found by new_bool_3 0.03/0.37 % Preprocessing class: FSMSSMSSSSSNFFN. 0.03/0.37 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.03/0.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.03/0.37 % Starting new_bool_3 with 180s (1) cores 0.03/0.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.03/0.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.03/0.37 % Search class: FHHSF-FFSF21-SFFFFFNN 0.03/0.37 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.03/0.37 % Starting SubtermCWHack with 19s (1) cores 0.03/0.37 % SubtermCWHack with pid 2833576 completed with status 0 0.03/0.37 % Result found by SubtermCWHack 0.03/0.37 % Preprocessing class: FSMSSMSSSSSNFFN. 0.03/0.37 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.03/0.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 900s (5) cores 0.03/0.37 % Starting new_bool_3 with 180s (1) cores 0.03/0.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.03/0.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.03/0.37 % Search class: FHHSF-FFSF21-SFFFFFNN 0.03/0.37 % Scheduled 5 strats onto 1 cores with 180 seconds (180 total) 0.03/0.37 % Starting SubtermCWHack with 19s (1) cores 0.03/0.37 % Preprocessing time : 0.001 s 0.03/0.37 0.03/0.37 % Proof found! 0.03/0.37 % SZS status Theorem 0.03/0.37 % SZS output start CNFRefutation 0.03/0.37 fof(co1, conjecture, (~((((![X3]:((sorti2(X3)=>h(j(X3))=X3))&![X4]:((sorti1(X4)=>j(h(X4))=X4)))&![X5]:((sorti2(X5)=>![X6]:((j(op2(X5,X6))=op1(j(X5),j(X6))<=sorti2(X6))))))&![X7]:((sorti1(X7)=>![X8]:((op2(h(X7),h(X8))=h(op1(X7,X8))<=sorti1(X8)))))))<=(![X2]:((sorti1(j(X2))<=sorti2(X2)))&![X1]:((sorti1(X1)=>sorti2(h(X1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)). 0.03/0.37 fof(ax3, axiom, ?[X1]:((sorti1(X1)&![X2]:((sorti1(X2)=>X1=op1(X2,X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)). 0.03/0.37 fof(ax2, axiom, ![X1]:((![X2]:((sorti2(op2(X1,X2))<=sorti2(X2)))<=sorti2(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax2)). 0.03/0.37 fof(ax4, axiom, ~(?[X1]:((sorti2(X1)&![X2]:((op2(X2,X2)=X1<=sorti2(X2)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax4)). 0.03/0.37 fof(c_0_4, negated_conjecture, ~((~((((![X3]:((sorti2(X3)=>h(j(X3))=X3))&![X4]:((sorti1(X4)=>j(h(X4))=X4)))&![X5]:((sorti2(X5)=>![X6]:((j(op2(X5,X6))=op1(j(X5),j(X6))<=sorti2(X6))))))&![X7]:((sorti1(X7)=>![X8]:((op2(h(X7),h(X8))=h(op1(X7,X8))<=sorti1(X8)))))))<=(![X2]:((sorti1(j(X2))<=sorti2(X2)))&![X1]:((sorti1(X1)=>sorti2(h(X1))))))), inference(assume_negation,[status(cth)],[co1])). 0.03/0.37 fof(c_0_5, negated_conjecture, ~(((![X2]:((sorti2(X2)=>sorti1(j(X2))))&![X1]:((sorti1(X1)=>sorti2(h(X1)))))=>~((((![X3]:((sorti2(X3)=>h(j(X3))=X3))&![X4]:((sorti1(X4)=>j(h(X4))=X4)))&![X5]:((sorti2(X5)=>![X6]:((sorti2(X6)=>j(op2(X5,X6))=op1(j(X5),j(X6)))))))&![X7]:((sorti1(X7)=>![X8]:((sorti1(X8)=>op2(h(X7),h(X8))=h(op1(X7,X8)))))))))), inference(fof_simplification,[status(thm)],[c_0_4])). 0.03/0.37 fof(c_0_6, plain, ![X22]:((sorti1(esk2_0)&(~sorti1(X22)|esk2_0=op1(X22,X22)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])])). 0.03/0.37 fof(c_0_7, negated_conjecture, ![X9, X10, X11, X12, X13, X14, X15, X16]:((((~sorti2(X9)|sorti1(j(X9)))&(~sorti1(X10)|sorti2(h(X10))))&((((~sorti2(X11)|h(j(X11))=X11)&(~sorti1(X12)|j(h(X12))=X12))&(~sorti2(X13)|(~sorti2(X14)|j(op2(X13,X14))=op1(j(X13),j(X14)))))&(~sorti1(X15)|(~sorti1(X16)|op2(h(X15),h(X16))=h(op1(X15,X16))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 0.03/0.37 cnf(c_0_8, plain, (esk2_0=op1(X1,X1)|~sorti1(X1)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.03/0.37 cnf(c_0_9, negated_conjecture, (j(op2(X1,X2))=op1(j(X1),j(X2))|~sorti2(X1)|~sorti2(X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.03/0.37 cnf(c_0_10, negated_conjecture, (sorti1(j(X1))|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.03/0.37 fof(c_0_11, plain, ![X1]:((sorti2(X1)=>![X2]:((sorti2(X2)=>sorti2(op2(X1,X2)))))), inference(fof_simplification,[status(thm)],[ax2])). 0.03/0.37 cnf(c_0_12, negated_conjecture, (h(j(X1))=X1|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.03/0.37 cnf(c_0_13, negated_conjecture, (j(op2(X1,X1))=esk2_0|~sorti2(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10])). 0.03/0.37 fof(c_0_14, plain, ![X17, X18]:((~sorti2(X17)|(~sorti2(X18)|sorti2(op2(X17,X18))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])). 0.03/0.37 cnf(c_0_15, negated_conjecture, (op2(X1,X1)=h(esk2_0)|~sorti2(op2(X1,X1))|~sorti2(X1)), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.03/0.37 cnf(c_0_16, plain, (sorti2(op2(X1,X2))|~sorti2(X1)|~sorti2(X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.03/0.37 cnf(c_0_17, negated_conjecture, (op2(X1,X1)=h(esk2_0)|~sorti2(X1)), inference(spm,[status(thm)],[c_0_15, c_0_16])). 0.03/0.37 fof(c_0_18, plain, ~(?[X1]:((sorti2(X1)&![X2]:((sorti2(X2)=>op2(X2,X2)=X1))))), inference(fof_simplification,[status(thm)],[ax4])). 0.03/0.37 cnf(c_0_19, negated_conjecture, (sorti2(h(esk2_0))|~sorti2(X1)), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.03/0.37 cnf(c_0_20, negated_conjecture, (sorti2(h(X1))|~sorti1(X1)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.03/0.37 fof(c_0_21, plain, ![X19]:(((sorti2(esk1_1(X19))|~sorti2(X19))&(op2(esk1_1(X19),esk1_1(X19))!=X19|~sorti2(X19)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])). 0.03/0.37 cnf(c_0_22, negated_conjecture, (sorti2(h(esk2_0))|~sorti1(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.03/0.37 cnf(c_0_23, plain, (sorti1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])). 0.03/0.37 cnf(c_0_24, plain, (op2(esk1_1(X1),esk1_1(X1))!=X1|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.03/0.37 cnf(c_0_25, negated_conjecture, (sorti2(h(esk2_0))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 0.03/0.37 cnf(c_0_26, negated_conjecture, (~sorti2(esk1_1(h(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_17])]), c_0_25])])). 0.03/0.37 cnf(c_0_27, plain, (sorti2(esk1_1(X1))|~sorti2(X1)), inference(split_conjunct,[status(thm)],[c_0_21])). 0.03/0.37 cnf(c_0_28, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_25])]), ['proof']). 0.03/0.37 % SZS output end CNFRefutation 0.03/0.37 % Parsed axioms : 5 0.03/0.37 % Removed by relevancy pruning/SinE : 0 0.03/0.37 % Initial clauses : 12 0.03/0.37 % Removed in clause preprocessing : 0 0.03/0.37 % Initial clauses in saturation : 12 0.03/0.37 % Processed clauses : 21 0.03/0.37 % ...of these trivial : 0 0.03/0.37 % ...subsumed : 1 0.03/0.37 % ...remaining for further processing : 20 0.03/0.37 % Other redundant clauses eliminated : 1 0.03/0.37 % Clauses deleted for lack of memory : 0 0.03/0.37 % Backward-subsumed : 1 0.03/0.37 % Backward-rewritten : 3 0.03/0.37 % Generated clauses : 30 0.03/0.37 % ...of the previous two non-redundant : 23 0.03/0.37 % ...aggressively subsumed : 0 0.03/0.37 % Contextual simplify-reflections : 1 0.03/0.37 % Paramodulations : 29 0.03/0.37 % Factorizations : 0 0.03/0.37 % NegExts : 0 0.03/0.37 % Equation resolutions : 1 0.03/0.37 % Disequality decompositions : 0 0.03/0.37 % Total rewrite steps : 11 0.03/0.37 % ...of those cached : 8 0.03/0.37 % Propositional unsat checks : 0 0.03/0.37 % Propositional check models : 0 0.03/0.37 % Propositional check unsatisfiable : 0 0.03/0.37 % Propositional clauses : 0 0.03/0.37 % Propositional clauses after purity: 0 0.03/0.37 % Propositional unsat core size : 0 0.03/0.37 % Propositional preprocessing time : 0.000 0.03/0.37 % Propositional encoding time : 0.000 0.03/0.37 % Propositional solver time : 0.000 0.03/0.37 % Success case prop preproc time : 0.000 0.03/0.37 % Success case prop encoding time : 0.000 0.03/0.37 % Success case prop solver time : 0.000 0.03/0.37 % Current number of processed clauses : 16 0.03/0.37 % Positive orientable unit clauses : 3 0.03/0.37 % Positive unorientable unit clauses: 0 0.03/0.37 % Negative unit clauses : 1 0.03/0.37 % Non-unit-clauses : 12 0.03/0.37 % Current number of unprocessed clauses: 13 0.03/0.37 % ...number of literals in the above : 41 0.03/0.37 % Current number of archived formulas : 0 0.03/0.37 % Current number of archived clauses : 4 0.03/0.37 % Clause-clause subsumption calls (NU) : 5 0.03/0.37 % Rec. Clause-clause subsumption calls : 5 0.03/0.37 % Non-unit clause-clause subsumptions : 3 0.03/0.37 % Unit Clause-clause subsumption calls : 1 0.03/0.37 % Rewrite failures with RHS unbound : 0 0.03/0.37 % BW rewrite match attempts : 2 0.03/0.37 % BW rewrite match successes : 2 0.03/0.37 % Condensation attempts : 0 0.03/0.37 % Condensation successes : 0 0.03/0.37 % Termbank termtop insertions : 1452 0.03/0.37 % Search garbage collected termcells : 332 0.03/0.37 0.03/0.37 % ------------------------------------------------- 0.03/0.37 % User time : 0.003 s 0.03/0.37 % System time : 0.001 s 0.03/0.37 % Total time : 0.004 s 0.03/0.37 % Maximum resident set size: 3640 pages 0.03/0.37 0.03/0.37 % ------------------------------------------------- 0.03/0.37 % User time : 0.005 s 0.03/0.37 % System time : 0.002 s 0.03/0.37 % Total time : 0.007 s 0.03/0.37 % Maximum resident set size: 4608 pages 0.03/0.37 % E exiting 0.03/0.37 EOF