%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL097-1 : TPTP v9.3.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:00:35 PM UTC 2026 % Result : Unsatisfiable 0.03s 0.31s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL097-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.02 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Sat Sep 5 18:47:12 UTC 2026 % 0.03/0.29 % CPUTime : % 0.03/0.31 # No SInE strategy applied % 0.03/0.31 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S3b % 0.03/0.31 # and selection function SelectCQArNTEqFirstUnlessPDom. % 0.03/0.31 # % 0.03/0.31 # Presaturation interreduction done % 0.03/0.31 # Number of axioms: 4 Number of unprocessed: 4 % 0.03/0.31 # Tableaux proof search. % 0.03/0.31 # APR header successfully linked. % 0.03/0.31 # Hello from C++ % 0.03/0.31 # The folding up rule is enabled... % 0.03/0.31 # Local unification is enabled... % 0.03/0.31 # Any saturation attempts will use folding labels... % 0.03/0.31 # 4 beginning clauses after preprocessing and clausification % 0.03/0.31 # Creating start rules for all 1 conjectures. % 0.03/0.31 # There are 1 start rule candidates: % 0.03/0.31 # Found 3 unit axioms. % 0.03/0.31 # 1 start rule tableaux created. % 0.03/0.31 # 1 extension rule candidate clauses % 0.03/0.31 # 3 unit axiom clauses % 0.03/0.31 % 0.03/0.31 # Requested 8, 32 cores available to the main process. % 0.03/0.31 # There are not enough tableaux to fork, creating more from the initial 1 % 0.03/0.31 # There were 1 total branch saturation attempts. % 0.03/0.31 # There were 0 of these attempts blocked. % 0.03/0.31 # There were 0 deferred branch saturation attempts. % 0.03/0.31 # There were 0 free duplicated saturations. % 0.03/0.31 # There were 1 total successful branch saturations. % 0.03/0.31 # There were 0 successful branch saturations in interreduction. % 0.03/0.31 # There were 0 successful branch saturations on the branch. % 0.03/0.31 # There were 1 successful branch saturations after the branch. % 0.03/0.31 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.03/0.31 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.03/0.31 # Begin clausification derivation % 0.03/0.31 % 0.03/0.31 # End clausification derivation % 0.03/0.31 # Begin listing active clauses obtained from FOF to CNF conversion % 0.03/0.31 cnf(i_0_6, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X4),X4)))). % 0.03/0.31 cnf(i_0_7, plain, (is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),X5),X5)))). % 0.03/0.31 cnf(i_0_8, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))). % 0.03/0.31 cnf(i_0_5, plain, (is_a_theorem(X1)|~is_a_theorem(equivalent(X2,X1))|~is_a_theorem(X2))). % 0.03/0.31 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.03/0.31 # Begin printing tableau % 0.03/0.31 # Found 6 steps % 0.03/0.31 cnf(i_0_8, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))), inference(start_rule)). % 0.03/0.31 cnf(i_0_9, plain, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))), inference(extension_rule, [i_0_5])). % 0.03/0.31 cnf(i_0_11, plain, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X8,X7),equivalent(X8,X6)),equivalent(X7,X6)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))), inference(closure_rule, [i_0_6])). % 0.03/0.31 cnf(i_0_12, plain, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X8,X7),equivalent(X8,X6)),equivalent(X7,X6)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))), inference(extension_rule, [i_0_5])). % 0.03/0.31 cnf(i_0_14, plain, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),equivalent(equivalent(equivalent(equivalent(X8,X7),equivalent(X8,X6)),equivalent(X7,X6)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(X8,X7),equivalent(X8,X6)),equivalent(X7,X6)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))), inference(closure_rule, [i_0_6])). % 0.03/0.31 cnf(i_0_15, plain, (~is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),equivalent(equivalent(equivalent(equivalent(X8,X7),equivalent(X8,X6)),equivalent(X7,X6)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))), inference(etableau_closure_rule, [i_0_15, ...])). % 0.03/0.31 # End printing tableau % 0.03/0.31 # SZS output end % 0.03/0.31 # Branches closed with saturation will be marked with an "s" % 0.03/0.31 # Returning from population with 1 new_tableaux and 0 remaining starting tableaux. % 0.03/0.31 # We now have 1 tableaux to operate on % 0.03/0.31 # Found closed tableau during pool population. % 0.03/0.31 # Proof search is over... % 0.03/0.31 # Freeing feature tree %------------------------------------------------------------------------------