%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0. % 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 : n026.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 12:01:05 PM UTC 2026 % Result : Theorem 7.45s 7.74s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL365+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.11/0.37 % Computer : n026.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 23:54:26 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.40 # No SInE strategy applied % 0.11/0.40 # Auto-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V % 0.11/0.40 # and selection function PSelectComplexExceptRRHorn. % 0.11/0.40 # % 0.11/0.40 # Presaturation interreduction done % 0.11/0.40 # Number of axioms: 5 Number of unprocessed: 5 % 0.11/0.40 # Tableaux proof search. % 0.11/0.40 # APR header successfully linked. % 0.11/0.40 # Hello from C++ % 0.55/0.88 # The folding up rule is enabled... % 0.55/0.88 # Local unification is enabled... % 0.55/0.88 # Any saturation attempts will use folding labels... % 0.55/0.88 # 5 beginning clauses after preprocessing and clausification % 0.55/0.88 # Creating start rules for all 1 conjectures. % 0.55/0.88 # There are 1 start rule candidates: % 0.55/0.88 # Found 4 unit axioms. % 0.55/0.88 # 1 start rule tableaux created. % 0.55/0.88 # 1 extension rule candidate clauses % 0.55/0.88 # 4 unit axiom clauses % 0.55/0.88 % 0.55/0.88 # Requested 8, 32 cores available to the main process. % 0.55/0.88 # There are not enough tableaux to fork, creating more from the initial 1 % 1.66/1.99 # Ran out of tableaux, making start rules for all clauses % 7.45/7.74 # There were 13 total branch saturation attempts. % 7.45/7.74 # There were 0 of these attempts blocked. % 7.45/7.74 # There were 0 deferred branch saturation attempts. % 7.45/7.74 # There were 0 free duplicated saturations. % 7.45/7.74 # There were 1 total successful branch saturations. % 7.45/7.74 # There were 0 successful branch saturations in interreduction. % 7.45/7.74 # There were 0 successful branch saturations on the branch. % 7.45/7.74 # There were 1 successful branch saturations after the branch. % 7.45/7.74 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.45/7.74 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.45/7.74 # Begin clausification derivation % 7.45/7.74 % 7.45/7.74 # End clausification derivation % 7.45/7.74 # Begin listing active clauses obtained from FOF to CNF conversion % 7.45/7.74 cnf(i_0_4, plain, (is_a_theorem(implies(X1,implies(not(X1),X2))))). % 7.45/7.74 cnf(i_0_3, plain, (is_a_theorem(implies(implies(not(X1),X1),X1)))). % 7.45/7.74 cnf(i_0_2, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))). % 7.45/7.74 cnf(i_0_5, negated_conjecture, (~is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))))). % 7.45/7.74 cnf(i_0_1, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,X1))|~is_a_theorem(X2))). % 7.45/7.74 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 7.45/7.74 # Begin printing tableau % 7.45/7.74 # Found 6 steps % 7.45/7.74 cnf(i_0_2, plain, (is_a_theorem(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))))), inference(start_rule)). % 7.45/7.74 cnf(i_0_59921, plain, (is_a_theorem(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))))), inference(extension_rule, [i_0_1])). % 7.45/7.74 cnf(i_0_369861, plain, (is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))), inference(closure_rule, [i_0_5])). % 7.45/7.74 cnf(i_0_369862, plain, (~is_a_theorem(implies(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))),implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))))), inference(extension_rule, [i_0_1])). % 7.45/7.74 cnf(i_0_369865, plain, (~is_a_theorem(implies(implies(not(implies(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))),implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))),implies(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))),implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))),implies(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))),implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))))), inference(closure_rule, [i_0_3])). % 7.45/7.74 cnf(i_0_369866, plain, (~is_a_theorem(implies(not(implies(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))),implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))),implies(implies(implies(X7,X5),implies(implies(X5,X6),implies(X7,X6))),implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u)))))), inference(etableau_closure_rule, [i_0_369866, ...])). % 7.45/7.74 # End printing tableau % 7.45/7.74 # SZS output end % 7.45/7.74 # Branches closed with saturation will be marked with an "s" % 7.45/7.74 # Returning from population with 4 new_tableaux and 0 remaining starting tableaux. % 7.45/7.74 # We now have 4 tableaux to operate on % 7.45/7.74 # Found closed tableau during pool population. % 7.45/7.74 # Proof search is over... % 7.45/7.74 # Freeing feature tree %------------------------------------------------------------------------------