0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.32 % Computer : n011.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 01:59:34 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.45 Running first-order theorem proving 0.19/0.45 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=240 /export/starexec/sandbox/benchmark/theBenchmark.p 0.79/0.56 # Version: 3.0.0 0.79/0.56 # Preprocessing class: FSLSSMSSSSSNFFN. 0.79/0.56 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.79/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1200s (5) cores 0.79/0.56 # Starting new_bool_3 with 240s (1) cores 0.79/0.56 # Starting new_bool_1 with 240s (1) cores 0.79/0.56 # Starting sh5l with 240s (1) cores 0.79/0.56 # new_bool_3 with pid 26270 completed with status 0 0.79/0.56 # Result found by new_bool_3 0.79/0.56 # Preprocessing class: FSLSSMSSSSSNFFN. 0.79/0.56 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.79/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1200s (5) cores 0.79/0.56 # Starting new_bool_3 with 240s (1) cores 0.79/0.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.79/0.56 # Search class: FGHSM-FFMF31-MFFFFFNN 0.79/0.56 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.79/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 145s (1) cores 0.79/0.56 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 26273 completed with status 0 0.79/0.56 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 0.79/0.56 # Preprocessing class: FSLSSMSSSSSNFFN. 0.79/0.56 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.79/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1200s (5) cores 0.79/0.56 # Starting new_bool_3 with 240s (1) cores 0.79/0.56 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.79/0.56 # Search class: FGHSM-FFMF31-MFFFFFNN 0.79/0.56 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.79/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 145s (1) cores 0.79/0.56 # Preprocessing time : 0.001 s 0.79/0.56 # Presaturation interreduction done 0.79/0.56 0.79/0.56 # Proof found! 0.79/0.56 # SZS status Theorem 0.79/0.56 # SZS output start CNFRefutation 0.79/0.56 fof(l48_li3839, lemma, ![X1, X2, X3, X4]:((pair_in_list(update_slb(X1,X4),X2,X4)<=(strictly_less_than(X3,X4)&pair_in_list(X1,X2,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l48_li3839)). 0.79/0.56 fof(stricly_smaller_definition, axiom, ![X1, X2]:((strictly_less_than(X1,X2)<=>(~(less_than(X2,X1))&less_than(X1,X2)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax', stricly_smaller_definition)). 0.79/0.56 fof(l45_li4647, lemma, ![X1, X2]:((contains_slb(X1,X2)=>?[X3]:(pair_in_list(X1,X2,X3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l45_li4647)). 0.79/0.56 fof(totality, axiom, ![X1, X2]:((less_than(X1,X2)|less_than(X2,X1))), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax', totality)). 0.79/0.56 fof(l44_co, conjecture, ![X1, X2, X3, X4]:(((strictly_less_than(X4,findmin_cpq_res(triple(X1,X2,X3)))&contains_slb(X2,X4))=>(?[X5]:((less_than(findmin_pqp_res(X1),X5)&pair_in_list(update_slb(X2,findmin_pqp_res(X1)),X4,X5)))|pair_in_list(update_slb(X2,findmin_pqp_res(X1)),X4,findmin_pqp_res(X1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l44_co)). 0.79/0.56 fof(l49_li3637, lemma, ![X1, X2, X3, X4]:(((less_than(X4,X3)&pair_in_list(X1,X2,X3))=>pair_in_list(update_slb(X1,X4),X2,X3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l49_li3637)). 0.79/0.56 fof(c_0_6, lemma, ![X1, X2, X3, X4]:(((strictly_less_than(X3,X4)&pair_in_list(X1,X2,X3))=>pair_in_list(update_slb(X1,X4),X2,X4))), inference(fof_simplification,[status(thm)],[l48_li3839])). 0.79/0.57 fof(c_0_7, plain, ![X1, X2]:((strictly_less_than(X1,X2)<=>(~less_than(X2,X1)&less_than(X1,X2)))), inference(fof_simplification,[status(thm)],[stricly_smaller_definition])). 0.79/0.57 fof(c_0_8, lemma, ![X25, X26, X27, X28]:((~strictly_less_than(X27,X28)|~pair_in_list(X25,X26,X27)|pair_in_list(update_slb(X25,X28),X26,X28))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])). 0.79/0.57 fof(c_0_9, lemma, ![X18, X19]:((~contains_slb(X18,X19)|pair_in_list(X18,X19,esk5_2(X18,X19)))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l45_li4647])])])])). 0.79/0.57 fof(c_0_10, plain, ![X61, X62]:((((~less_than(X62,X61)|~strictly_less_than(X61,X62))&(less_than(X61,X62)|~strictly_less_than(X61,X62)))&(less_than(X62,X61)|~less_than(X61,X62)|strictly_less_than(X61,X62)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])). 0.79/0.57 fof(c_0_11, plain, ![X50, X51]:((less_than(X50,X51)|less_than(X51,X50))), inference(variable_rename,[status(thm)],[totality])). 0.79/0.57 fof(c_0_12, negated_conjecture, ~(![X1, X2, X3, X4]:(((strictly_less_than(X4,findmin_cpq_res(triple(X1,X2,X3)))&contains_slb(X2,X4))=>(?[X5]:((less_than(findmin_pqp_res(X1),X5)&pair_in_list(update_slb(X2,findmin_pqp_res(X1)),X4,X5)))|pair_in_list(update_slb(X2,findmin_pqp_res(X1)),X4,findmin_pqp_res(X1)))))), inference(assume_negation,[status(cth)],[l44_co])). 0.79/0.57 cnf(c_0_13, lemma, (pair_in_list(update_slb(X3,X2),X4,X2)|~strictly_less_than(X1,X2)|~pair_in_list(X3,X4,X1)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.79/0.57 cnf(c_0_14, lemma, (pair_in_list(X1,X2,esk5_2(X1,X2))|~contains_slb(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_9])). 0.79/0.57 cnf(c_0_15, plain, (less_than(X1,X2)|strictly_less_than(X2,X1)|~less_than(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_10])). 0.79/0.57 cnf(c_0_16, plain, (less_than(X1,X2)|less_than(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.79/0.57 fof(c_0_17, negated_conjecture, ![X10]:(((strictly_less_than(esk4_0,findmin_cpq_res(triple(esk1_0,esk2_0,esk3_0)))&contains_slb(esk2_0,esk4_0))&((~less_than(findmin_pqp_res(esk1_0),X10)|~pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,X10))&~pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,findmin_pqp_res(esk1_0))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])). 0.79/0.57 fof(c_0_18, lemma, ![X21, X22, X23, X24]:((~less_than(X24,X23)|~pair_in_list(X21,X22,X23)|pair_in_list(update_slb(X21,X24),X22,X23))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l49_li3637])])])). 0.79/0.57 cnf(c_0_19, lemma, (pair_in_list(update_slb(X1,X2),X3,X2)|~contains_slb(X1,X3)|~strictly_less_than(esk5_2(X1,X3),X2)), inference(spm,[status(thm)],[c_0_13, c_0_14])). 0.79/0.57 cnf(c_0_20, plain, (strictly_less_than(X1,X2)|less_than(X2,X1)), inference(csr,[status(thm)],[c_0_15, c_0_16])). 0.79/0.57 cnf(c_0_21, negated_conjecture, (~less_than(findmin_pqp_res(esk1_0),X1)|~pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,X1)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.79/0.57 cnf(c_0_22, lemma, (pair_in_list(update_slb(X3,X1),X4,X2)|~less_than(X1,X2)|~pair_in_list(X3,X4,X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.79/0.57 cnf(c_0_23, lemma, (pair_in_list(update_slb(X1,X2),X3,X2)|less_than(X2,esk5_2(X1,X3))|~contains_slb(X1,X3)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 0.79/0.57 cnf(c_0_24, negated_conjecture, (contains_slb(esk2_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.79/0.57 cnf(c_0_25, negated_conjecture, (~pair_in_list(esk2_0,esk4_0,X1)|~less_than(findmin_pqp_res(esk1_0),X1)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.79/0.57 cnf(c_0_26, negated_conjecture, (pair_in_list(update_slb(esk2_0,X1),esk4_0,X1)|less_than(X1,esk5_2(esk2_0,esk4_0))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 0.79/0.57 cnf(c_0_27, negated_conjecture, (~pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,findmin_pqp_res(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.79/0.57 cnf(c_0_28, negated_conjecture, (~pair_in_list(esk2_0,esk4_0,esk5_2(esk2_0,esk4_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 0.79/0.57 cnf(c_0_29, lemma, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_14]), c_0_24])]), ['proof']). 0.79/0.57 # SZS output end CNFRefutation 0.79/0.57 # Parsed axioms : 45 0.79/0.57 # Removed by relevancy pruning/SinE : 19 0.79/0.57 # Initial clauses : 36 0.79/0.57 # Removed in clause preprocessing : 0 0.79/0.57 # Initial clauses in saturation : 36 0.79/0.57 # Processed clauses : 773 0.79/0.57 # ...of these trivial : 6 0.79/0.57 # ...subsumed : 534 0.79/0.57 # ...remaining for further processing : 233 0.79/0.57 # Other redundant clauses eliminated : 3 0.79/0.57 # Clauses deleted for lack of memory : 0 0.79/0.57 # Backward-subsumed : 3 0.79/0.57 # Backward-rewritten : 0 0.79/0.57 # Generated clauses : 3142 0.79/0.57 # ...of the previous two non-redundant : 2697 0.79/0.57 # ...aggressively subsumed : 0 0.79/0.57 # Contextual simplify-reflections : 2 0.79/0.57 # Paramodulations : 2960 0.79/0.57 # Factorizations : 180 0.79/0.57 # NegExts : 0 0.79/0.57 # Equation resolutions : 3 0.79/0.57 # Disequality decompositions : 0 0.79/0.57 # Total rewrite steps : 548 0.79/0.57 # ...of those cached : 480 0.79/0.57 # Propositional unsat checks : 0 0.79/0.57 # Propositional check models : 0 0.79/0.57 # Propositional check unsatisfiable : 0 0.79/0.57 # Propositional clauses : 0 0.79/0.57 # Propositional clauses after purity: 0 0.79/0.57 # Propositional unsat core size : 0 0.79/0.57 # Propositional preprocessing time : 0.000 0.79/0.57 # Propositional encoding time : 0.000 0.79/0.57 # Propositional solver time : 0.000 0.79/0.57 # Success case prop preproc time : 0.000 0.79/0.57 # Success case prop encoding time : 0.000 0.79/0.57 # Success case prop solver time : 0.000 0.79/0.57 # Current number of processed clauses : 192 0.79/0.57 # Positive orientable unit clauses : 14 0.79/0.57 # Positive unorientable unit clauses: 0 0.79/0.57 # Negative unit clauses : 6 0.79/0.57 # Non-unit-clauses : 172 0.79/0.57 # Current number of unprocessed clauses: 1994 0.79/0.57 # ...number of literals in the above : 11031 0.79/0.57 # Current number of archived formulas : 0 0.79/0.57 # Current number of archived clauses : 39 0.79/0.57 # Clause-clause subsumption calls (NU) : 9320 0.79/0.57 # Rec. Clause-clause subsumption calls : 5261 0.79/0.57 # Non-unit clause-clause subsumptions : 506 0.79/0.57 # Unit Clause-clause subsumption calls : 55 0.79/0.57 # Rewrite failures with RHS unbound : 0 0.79/0.57 # BW rewrite match attempts : 14 0.79/0.57 # BW rewrite match successes : 1 0.79/0.57 # Condensation attempts : 0 0.79/0.57 # Condensation successes : 0 0.79/0.57 # Termbank termtop insertions : 61193 0.79/0.57 # Search garbage collected termcells : 616 0.79/0.57 0.79/0.57 # ------------------------------------------------- 0.79/0.57 # User time : 0.071 s 0.79/0.57 # System time : 0.005 s 0.79/0.57 # Total time : 0.076 s 0.79/0.57 # Maximum resident set size: 1852 pages 0.79/0.57 0.79/0.57 # ------------------------------------------------- 0.79/0.57 # User time : 0.075 s 0.79/0.57 # System time : 0.005 s 0.79/0.57 # Total time : 0.080 s 0.79/0.57 # Maximum resident set size: 1772 pages 0.79/0.57 % E exiting 0.79/0.57 % E exiting 0.79/0.57 EOF