%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL024-1 : 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 : n014.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 12:00:29 PM UTC 2026 % Result : Unsatisfiable 1.66s 1.97s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL024-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.09/0.35 % Computer : n014.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 16:17:12 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.38 # No SInE strategy applied % 0.09/0.38 # Auto-Mode selected heuristic G_____0019_C18_F1_PI_SE_CS_SP_S0Y % 0.09/0.38 # and selection function SelectMaxLComplexAvoidPosPred. % 0.09/0.38 # % 0.09/0.38 # Number of axioms: 3 Number of unprocessed: 3 % 0.09/0.38 # Tableaux proof search. % 0.09/0.38 # APR header successfully linked. % 0.09/0.38 # Hello from C++ % 0.46/0.75 # The folding up rule is enabled... % 0.46/0.75 # Local unification is enabled... % 0.46/0.75 # Any saturation attempts will use folding labels... % 0.46/0.75 # 3 beginning clauses after preprocessing and clausification % 0.46/0.75 # Creating start rules for all 1 conjectures. % 0.46/0.75 # There are 1 start rule candidates: % 0.46/0.75 # Found 2 unit axioms. % 0.46/0.75 # 1 start rule tableaux created. % 0.46/0.75 # 1 extension rule candidate clauses % 0.46/0.75 # 2 unit axiom clauses % 0.46/0.75 % 0.46/0.75 # Requested 8, 32 cores available to the main process. % 0.46/0.75 # There are not enough tableaux to fork, creating more from the initial 1 % 1.26/1.56 # Ran out of tableaux, making start rules for all clauses % 1.66/1.97 # There were 4 total branch saturation attempts. % 1.66/1.97 # There were 0 of these attempts blocked. % 1.66/1.97 # There were 0 deferred branch saturation attempts. % 1.66/1.97 # There were 0 free duplicated saturations. % 1.66/1.97 # There were 1 total successful branch saturations. % 1.66/1.97 # There were 0 successful branch saturations in interreduction. % 1.66/1.97 # There were 0 successful branch saturations on the branch. % 1.66/1.97 # There were 1 successful branch saturations after the branch. % 1.66/1.97 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 1.66/1.97 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 1.66/1.97 # Begin clausification derivation % 1.66/1.97 % 1.66/1.97 # End clausification derivation % 1.66/1.97 # Begin listing active clauses obtained from FOF to CNF conversion % 1.66/1.97 cnf(i_0_4, plain, (is_a_theorem(X2)|~is_a_theorem(X1)|~is_a_theorem(equivalent(X1,X2)))). % 1.66/1.97 cnf(i_0_5, plain, (is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2)))))). % 1.66/1.97 cnf(i_0_6, negated_conjecture, (~is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))))). % 1.66/1.97 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 1.66/1.97 # Begin printing tableau % 1.66/1.97 # Found 6 steps % 1.66/1.97 cnf(i_0_5, plain, (is_a_theorem(equivalent(equivalent(X13,equivalent(equivalent(X14,equivalent(X15,X13)),equivalent(X15,X14))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(X13,equivalent(equivalent(X14,equivalent(X15,X13)),equivalent(X15,X14))))),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))))), inference(start_rule)). % 1.66/1.97 cnf(i_0_81896, plain, (is_a_theorem(equivalent(equivalent(X13,equivalent(equivalent(X14,equivalent(X15,X13)),equivalent(X15,X14))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(X13,equivalent(equivalent(X14,equivalent(X15,X13)),equivalent(X15,X14))))),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))))), inference(extension_rule, [i_0_4])). % 1.66/1.97 cnf(i_0_81914, plain, (~is_a_theorem(equivalent(X13,equivalent(equivalent(X14,equivalent(X15,X13)),equivalent(X15,X14))))), inference(closure_rule, [i_0_5])). % 1.66/1.97 cnf(i_0_81913, plain, (is_a_theorem(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(X13,equivalent(equivalent(X14,equivalent(X15,X13)),equivalent(X15,X14))))),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))))), inference(extension_rule, [i_0_4])). % 1.66/1.97 cnf(i_0_81916, plain, (is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))), inference(closure_rule, [i_0_6])). % 1.66/1.97 cnf(i_0_81917, plain, (~is_a_theorem(equivalent(equivalent(b,a),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(X13,equivalent(equivalent(X14,equivalent(X15,X13)),equivalent(X15,X14))))))), inference(etableau_closure_rule, [i_0_81917, ...])). % 1.66/1.97 # End printing tableau % 1.66/1.97 # SZS output end % 1.66/1.97 # Branches closed with saturation will be marked with an "s" % 1.66/1.97 # Returning from population with 4 new_tableaux and 0 remaining starting tableaux. % 1.66/1.97 # We now have 4 tableaux to operate on % 1.66/1.97 # Found closed tableau during pool population. % 1.66/1.97 # Proof search is over... % 1.66/1.97 # Freeing feature tree %------------------------------------------------------------------------------