0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.37 % Computer : n002.cluster.edu 0.10/0.37 % Model : x86_64 x86_64 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.37 % Memory : 8046.5625MB 0.10/0.37 % OS : Linux 6.8.0-71-generic 0.10/0.37 % CPULimit : 1440 0.10/0.37 % WCLimit : 180 0.10/0.37 % DateTime : Mon Jul 27 09:51:13 UTC 2026 0.10/0.38 % CPUTime : 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.42 Running first-order theorem proving 0.10/0.42 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 23.77/4.00 % Version: 3.5.1 23.77/4.00 % Preprocessing class: FSSSSMSSSSSNFFN. 23.77/4.00 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 23.77/4.00 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 23.77/4.00 % Starting new_bool_3 with 180s (1) cores 23.77/4.00 % Starting new_bool_1 with 180s (1) cores 23.77/4.00 % Starting sh5l with 180s (1) cores 23.77/4.00 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3183937 completed with status 0 23.77/4.00 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN 23.77/4.00 % Preprocessing class: FSSSSMSSSSSNFFN. 23.77/4.00 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 23.77/4.00 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 23.77/4.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 23.77/4.00 % No SInE strategy applied 23.77/4.00 % Search class: FHUNS-FFSF21-MFFFFFNN 23.77/4.00 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 23.77/4.00 % Starting SubtermCWHack with 82s (1) cores 23.77/4.00 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 91s (1) cores 23.77/4.00 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 82s (1) cores 23.77/4.00 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 82s (1) cores 23.77/4.00 % Starting new_bool_3 with 82s (1) cores 23.77/4.00 % H----_011_C07_F1_PI_SE_SP_S0V with pid 3183946 completed with status 0 23.77/4.00 % Result found by H----_011_C07_F1_PI_SE_SP_S0V 23.77/4.00 % Preprocessing class: FSSSSMSSSSSNFFN. 23.77/4.00 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 23.77/4.00 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 900s (5) cores 23.77/4.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 23.77/4.00 % No SInE strategy applied 23.77/4.00 % Search class: FHUNS-FFSF21-MFFFFFNN 23.77/4.00 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 23.77/4.00 % Starting SubtermCWHack with 82s (1) cores 23.77/4.00 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 91s (1) cores 23.77/4.00 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 82s (1) cores 23.77/4.00 % Starting H----_011_C07_F1_PI_SE_SP_S0V with 82s (1) cores 23.77/4.00 % Preprocessing time : 0.001 s 23.77/4.00 23.77/4.00 % Proof found! 23.77/4.00 % SZS status Theorem 23.77/4.00 % SZS output start CNFRefutation 23.77/4.00 fof(condensed_detachment, axiom, ![X1, X2]:(((is_a_theorem(implies(X1,X2))&is_a_theorem(X1))=>is_a_theorem(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', condensed_detachment)). 23.77/4.00 fof(cn_1, axiom, ![X1, X2, X3]:(is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_1)). 23.77/4.00 fof(cn_2, axiom, ![X1]:(is_a_theorem(implies(implies(not(X1),X1),X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_2)). 23.77/4.00 fof(cn_3, axiom, ![X1, X2]:(is_a_theorem(implies(X1,implies(not(X1),X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cn_3)). 23.77/4.00 fof(prove_cn_23, conjecture, is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_cn_23)). 23.77/4.00 fof(c_0_5, plain, ![X10, X11]:((~is_a_theorem(implies(X10,X11))|~is_a_theorem(X10)|is_a_theorem(X11))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[condensed_detachment])])])). 23.77/4.00 fof(c_0_6, plain, ![X4, X5, X6]:(is_a_theorem(implies(implies(X4,X5),implies(implies(X5,X6),implies(X4,X6))))), inference(variable_rename,[status(thm)],[cn_1])). 23.77/4.00 cnf(c_0_7, plain, (is_a_theorem(X2)|~is_a_theorem(implies(X1,X2))|~is_a_theorem(X1)), inference(split_conjunct,[status(thm)],[c_0_5])). 23.77/4.00 cnf(c_0_8, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))), inference(split_conjunct,[status(thm)],[c_0_6])). 23.77/4.00 cnf(c_0_9, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(X3,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])). 23.77/4.00 fof(c_0_10, plain, ![X7]:(is_a_theorem(implies(implies(not(X7),X7),X7))), inference(variable_rename,[status(thm)],[cn_2])). 23.77/4.00 cnf(c_0_11, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X3,X2))|~is_a_theorem(implies(X1,X3))), inference(spm,[status(thm)],[c_0_7, c_0_9])). 23.77/4.00 fof(c_0_12, plain, ![X8, X9]:(is_a_theorem(implies(X8,implies(not(X8),X9)))), inference(variable_rename,[status(thm)],[cn_3])). 23.77/4.00 cnf(c_0_13, plain, (is_a_theorem(implies(implies(not(X1),X1),X1))), inference(split_conjunct,[status(thm)],[c_0_10])). 23.77/4.00 cnf(c_0_14, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X1,implies(X4,X3)))|~is_a_theorem(implies(X2,X4))), inference(spm,[status(thm)],[c_0_11, c_0_9])). 23.77/4.00 cnf(c_0_15, plain, (is_a_theorem(implies(X1,implies(not(X1),X2)))), inference(split_conjunct,[status(thm)],[c_0_12])). 23.77/4.00 cnf(c_0_16, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(not(X2),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_13])). 23.77/4.00 cnf(c_0_17, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,not(X1)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 23.77/4.00 cnf(c_0_18, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(not(X2),not(X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 23.77/4.00 cnf(c_0_19, plain, (is_a_theorem(implies(not(X1),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_7, c_0_15])). 23.77/4.00 cnf(c_0_20, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(X2)), inference(spm,[status(thm)],[c_0_18, c_0_19])). 23.77/4.00 cnf(c_0_21, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X2,X4))|~is_a_theorem(implies(X4,X3))), inference(spm,[status(thm)],[c_0_14, c_0_20])). 23.77/4.00 cnf(c_0_22, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X2),X1))), inference(spm,[status(thm)],[c_0_16, c_0_9])). 23.77/4.00 cnf(c_0_23, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(X4,X3))|~is_a_theorem(X4)), inference(spm,[status(thm)],[c_0_21, c_0_20])). 23.77/4.00 cnf(c_0_24, plain, (is_a_theorem(implies(X1,X1))), inference(spm,[status(thm)],[c_0_16, c_0_15])). 23.77/4.00 cnf(c_0_25, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X2))|~is_a_theorem(implies(X2,X1))), inference(spm,[status(thm)],[c_0_7, c_0_22])). 23.77/4.00 cnf(c_0_26, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 23.77/4.00 cnf(c_0_27, plain, (is_a_theorem(X1)|~is_a_theorem(implies(implies(X2,X3),X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_25, c_0_26])). 23.77/4.00 cnf(c_0_28, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_27, c_0_8])). 23.77/4.00 cnf(c_0_29, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(X1)), inference(spm,[status(thm)],[c_0_16, c_0_28])). 23.77/4.00 cnf(c_0_30, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(X1,implies(X3,X2)))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_11, c_0_29])). 23.77/4.00 cnf(c_0_31, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X2))), inference(spm,[status(thm)],[c_0_11, c_0_15])). 23.77/4.00 cnf(c_0_32, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(X3,X1))|~is_a_theorem(X3)), inference(spm,[status(thm)],[c_0_30, c_0_9])). 23.77/4.00 cnf(c_0_33, plain, (is_a_theorem(implies(X1,implies(X2,X3)))|~is_a_theorem(implies(implies(not(X2),X4),X3))), inference(spm,[status(thm)],[c_0_21, c_0_15])). 23.77/4.00 cnf(c_0_34, plain, (is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))), inference(spm,[status(thm)],[c_0_16, c_0_13])). 23.77/4.00 cnf(c_0_35, plain, (is_a_theorem(implies(X1,implies(not(X2),X3)))|~is_a_theorem(implies(X1,X4))|~is_a_theorem(implies(X4,X2))), inference(spm,[status(thm)],[c_0_11, c_0_31])). 23.77/4.00 cnf(c_0_36, plain, (is_a_theorem(implies(implies(X1,X2),X2))|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_32, c_0_13])). 23.77/4.00 cnf(c_0_37, plain, (is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2)))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 23.77/4.00 cnf(c_0_38, plain, (is_a_theorem(implies(implies(X1,X2),implies(not(X3),X4)))|~is_a_theorem(implies(implies(implies(X2,X5),implies(X1,X5)),X3))), inference(spm,[status(thm)],[c_0_35, c_0_8])). 23.77/4.00 cnf(c_0_39, plain, (is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 23.77/4.00 fof(c_0_40, negated_conjecture, ~(is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), inference(assume_negation,[status(cth)],[prove_cn_23])). 23.77/4.00 cnf(c_0_41, plain, (is_a_theorem(X1)|~is_a_theorem(implies(not(X1),X1))), inference(spm,[status(thm)],[c_0_7, c_0_13])). 23.77/4.00 cnf(c_0_42, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))|~is_a_theorem(implies(X1,implies(X4,X2)))), inference(spm,[status(thm)],[c_0_11, c_0_8])). 23.77/4.00 cnf(c_0_43, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(not(implies(X1,X2)),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 23.77/4.00 fof(c_0_44, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), inference(fof_simplification,[status(thm)],[c_0_40])). 23.77/4.00 cnf(c_0_45, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~is_a_theorem(implies(not(implies(implies(X1,X2),implies(X3,X2))),implies(X3,X1)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 23.77/4.00 cnf(c_0_46, plain, (is_a_theorem(implies(X1,implies(X2,implies(not(X2),X3))))), inference(spm,[status(thm)],[c_0_33, c_0_24])). 23.77/4.00 cnf(c_0_47, plain, (is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2)))), inference(spm,[status(thm)],[c_0_16, c_0_43])). 23.77/4.00 fof(c_0_48, negated_conjecture, ~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u))), inference(fof_nnf,[status(thm)],[c_0_44])). 23.77/4.00 cnf(c_0_49, plain, (is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 23.77/4.00 cnf(c_0_50, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3)))), inference(spm,[status(thm)],[c_0_38, c_0_47])). 23.77/4.00 cnf(c_0_51, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(y,z)),u),implies(implies(y,implies(x,z)),u)))), inference(split_conjunct,[status(thm)],[c_0_48])). 23.77/4.00 cnf(c_0_52, plain, (is_a_theorem(implies(X1,X2))|~is_a_theorem(implies(implies(not(X1),X3),X2))), inference(spm,[status(thm)],[c_0_7, c_0_49])). 23.77/4.00 cnf(c_0_53, plain, (is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_16, c_0_50])). 23.77/4.00 cnf(c_0_54, negated_conjecture, (~is_a_theorem(implies(implies(y,implies(x,z)),implies(x,implies(y,z))))), inference(spm,[status(thm)],[c_0_51, c_0_9])). 23.77/4.00 cnf(c_0_55, plain, (is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))|~is_a_theorem(implies(X3,implies(X2,X4)))), inference(spm,[status(thm)],[c_0_14, c_0_8])). 23.77/4.00 cnf(c_0_56, plain, (is_a_theorem(implies(X1,implies(implies(X2,X1),X1)))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 23.77/4.00 cnf(c_0_57, negated_conjecture, (~is_a_theorem(implies(x,implies(implies(x,z),z)))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 23.77/4.00 cnf(c_0_58, plain, (is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))|~is_a_theorem(implies(X1,implies(not(X3),X2)))), inference(spm,[status(thm)],[c_0_11, c_0_53])). 23.77/4.00 cnf(c_0_59, plain, (is_a_theorem(implies(X1,implies(X2,X1)))|~is_a_theorem(implies(X2,implies(X3,X1)))), inference(spm,[status(thm)],[c_0_14, c_0_56])). 23.77/4.00 cnf(c_0_60, negated_conjecture, (~is_a_theorem(implies(x,implies(not(z),x)))), inference(spm,[status(thm)],[c_0_57, c_0_58])). 23.77/4.00 cnf(c_0_61, plain, (is_a_theorem(implies(X1,implies(X2,X1)))), inference(spm,[status(thm)],[c_0_59, c_0_15])). 23.77/4.00 cnf(c_0_62, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])]), ['proof']). 23.77/4.00 % SZS output end CNFRefutation 23.77/4.00 % Parsed axioms : 5 23.77/4.00 % Removed by relevancy pruning/SinE : 0 23.77/4.00 % Initial clauses : 5 23.77/4.00 % Removed in clause preprocessing : 0 23.77/4.00 % Initial clauses in saturation : 5 23.77/4.00 % Processed clauses : 39421 23.77/4.00 % ...of these trivial : 421 23.77/4.00 % ...subsumed : 35826 23.77/4.00 % ...remaining for further processing : 3174 23.77/4.00 % Other redundant clauses eliminated : 0 23.77/4.00 % Clauses deleted for lack of memory : 0 23.77/4.00 % Backward-subsumed : 662 23.77/4.00 % Backward-rewritten : 64 23.77/4.00 % Generated clauses : 168259 23.77/4.00 % ...of the previous two non-redundant : 160896 23.77/4.00 % ...aggressively subsumed : 0 23.77/4.00 % Contextual simplify-reflections : 0 23.77/4.00 % Paramodulations : 168259 23.77/4.00 % Factorizations : 0 23.77/4.00 % NegExts : 0 23.77/4.00 % Equation resolutions : 0 23.77/4.00 % Disequality decompositions : 0 23.77/4.00 % Total rewrite steps : 7994 23.77/4.00 % ...of those cached : 6977 23.77/4.00 % Propositional unsat checks : 0 23.77/4.00 % Propositional check models : 0 23.77/4.00 % Propositional check unsatisfiable : 0 23.77/4.00 % Propositional clauses : 0 23.77/4.00 % Propositional clauses after purity: 0 23.77/4.00 % Propositional unsat core size : 0 23.77/4.00 % Propositional preprocessing time : 0.000 23.77/4.00 % Propositional encoding time : 0.000 23.77/4.00 % Propositional solver time : 0.000 23.77/4.00 % Success case prop preproc time : 0.000 23.77/4.00 % Success case prop encoding time : 0.000 23.77/4.00 % Success case prop solver time : 0.000 23.77/4.00 % Current number of processed clauses : 2448 23.77/4.00 % Positive orientable unit clauses : 196 23.77/4.00 % Positive unorientable unit clauses: 0 23.77/4.00 % Negative unit clauses : 95 23.77/4.00 % Non-unit-clauses : 2157 23.77/4.00 % Current number of unprocessed clauses: 121422 23.77/4.00 % ...number of literals in the above : 449974 23.77/4.00 % Current number of archived formulas : 0 23.77/4.00 % Current number of archived clauses : 726 23.77/4.00 % Clause-clause subsumption calls (NU) : 2902412 23.77/4.00 % Rec. Clause-clause subsumption calls : 590289 23.77/4.00 % Non-unit clause-clause subsumptions : 27188 23.77/4.00 % Unit Clause-clause subsumption calls : 34086 23.77/4.00 % Rewrite failures with RHS unbound : 0 23.77/4.00 % BW rewrite match attempts : 30402 23.77/4.00 % BW rewrite match successes : 11 23.77/4.00 % Condensation attempts : 0 23.77/4.00 % Condensation successes : 0 23.77/4.00 % Termbank termtop insertions : 2631968 23.77/4.00 % Search garbage collected termcells : 19 23.77/4.00 23.77/4.00 % ------------------------------------------------- 23.77/4.00 % User time : 3.251 s 23.77/4.00 % System time : 0.094 s 23.77/4.00 % Total time : 3.346 s 23.77/4.00 % Maximum resident set size: 3336 pages 23.77/4.00 23.77/4.00 % ------------------------------------------------- 23.77/4.00 % User time : 16.334 s 23.77/4.00 % System time : 0.624 s 23.77/4.00 % Total time : 16.958 s 23.77/4.00 % Maximum resident set size: 4864 pages 23.77/4.00 % E exiting 23.77/4.00 EOF