%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : MGT027+1 : TPTP v9.3.0. Released v2.0.0. % 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 : n003.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 : Tue Sep 8 06:09:46 AM UTC 2026 % Result : Theorem 0.14s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT027+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.10/0.35 % Computer : n003.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 12:14:08 UTC 2026 % 0.10/0.36 % CPUTime : % 0.14/0.39 # No SInE strategy applied % 0.14/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S032N % 0.14/0.39 # and selection function SelectUnlessUniqMax. % 0.14/0.39 # % 0.14/0.39 # Presaturation interreduction done % 0.14/0.39 # Number of axioms: 16 Number of unprocessed: 16 % 0.14/0.39 # Tableaux proof search. % 0.14/0.39 # APR header successfully linked. % 0.14/0.39 # Hello from C++ % 0.14/0.39 # The folding up rule is enabled... % 0.14/0.39 # Local unification is enabled... % 0.14/0.39 # Any saturation attempts will use folding labels... % 0.14/0.39 # 16 beginning clauses after preprocessing and clausification % 0.14/0.39 # Creating start rules for all 3 conjectures. % 0.14/0.39 # There are 3 start rule candidates: % 0.14/0.39 # Found 3 unit axioms. % 0.14/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.14/0.39 # 3 start rule tableaux created. % 0.14/0.39 # 13 extension rule candidate clauses % 0.14/0.39 # 3 unit axiom clauses % 0.14/0.39 % 0.14/0.39 # Requested 8, 32 cores available to the main process. % 0.14/0.39 # There are not enough tableaux to fork, creating more from the initial 3 % 0.14/0.39 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux. % 0.14/0.39 # We now have 13 tableaux to operate on % 0.14/0.40 # There were 3 total branch saturation attempts. % 0.14/0.40 # There were 0 of these attempts blocked. % 0.14/0.40 # There were 0 deferred branch saturation attempts. % 0.14/0.40 # There were 0 free duplicated saturations. % 0.14/0.40 # There were 3 total successful branch saturations. % 0.14/0.40 # There were 0 successful branch saturations in interreduction. % 0.14/0.40 # There were 0 successful branch saturations on the branch. % 0.14/0.40 # There were 3 successful branch saturations after the branch. % 0.14/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # Begin clausification derivation % 0.14/0.40 % 0.14/0.40 # End clausification derivation % 0.14/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.14/0.40 cnf(i_0_16, negated_conjecture, (environment(esk3_0))). % 0.14/0.40 cnf(i_0_15, negated_conjecture, (stable(esk3_0))). % 0.14/0.40 cnf(i_0_8, plain, (greater_or_equal(X1,X1))). % 0.14/0.40 cnf(i_0_14, negated_conjecture, (~contracts_from(X1,first_movers)|~greater(X1,appear(efficient_producers,esk3_0)))). % 0.14/0.40 cnf(i_0_9, plain, (greater_or_equal(X1,X2)|~greater(X1,X2))). % 0.14/0.40 cnf(i_0_10, plain, (X1=X2|greater(X1,X2)|~greater_or_equal(X1,X2))). % 0.14/0.40 cnf(i_0_7, plain, (greater(X1,X2)|~greater(X3,X2)|~greater(X1,X3))). % 0.14/0.40 cnf(i_0_6, plain, (in_environment(X1,appear(efficient_producers,X1))|~stable(X1)|~environment(X1))). % 0.14/0.40 cnf(i_0_5, plain, (in_environment(X1,X2)|~greater(X2,X3)|~in_environment(X1,X3)|~stable(X1)|~environment(X1))). % 0.14/0.40 cnf(i_0_13, hypothesis, (greater(esk2_1(X1),appear(efficient_producers,X1))|~stable(X1)|~environment(X1))). % 0.14/0.40 cnf(i_0_11, hypothesis, (greater(cardinality_at_time(efficient_producers,X1),zero)|~greater_or_equal(X1,appear(efficient_producers,X2))|~in_environment(X2,X1)|~environment(X2))). % 0.14/0.40 cnf(i_0_1, plain, (contracts_from(X1,first_movers)|~greater(zero,growth_rate(first_movers,esk1_2(X2,X1)))|~in_environment(X2,X1)|~stable(X2)|~environment(X2))). % 0.14/0.40 cnf(i_0_12, hypothesis, (greater(zero,growth_rate(first_movers,X1))|~subpopulations(first_movers,efficient_producers,X2,X1)|~greater_or_equal(X1,esk2_1(X2))|~stable(X2)|~environment(X2))). % 0.14/0.40 cnf(i_0_4, plain, (subpopulations(first_movers,efficient_producers,X1,X2)|~greater(cardinality_at_time(first_movers,X2),zero)|~greater(cardinality_at_time(efficient_producers,X2),zero)|~in_environment(X1,X2)|~environment(X1))). % 0.14/0.40 cnf(i_0_2, plain, (contracts_from(X1,first_movers)|greater_or_equal(esk1_2(X2,X1),X1)|~in_environment(X2,X1)|~stable(X2)|~environment(X2))). % 0.14/0.40 cnf(i_0_3, plain, (contracts_from(X1,first_movers)|greater(cardinality_at_time(first_movers,esk1_2(X2,X1)),zero)|~in_environment(X2,X1)|~stable(X2)|~environment(X2))). % 0.14/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.14/0.40 # Begin printing tableau % 0.14/0.40 # Found 9 steps % 0.14/0.40 cnf(i_0_15, negated_conjecture, (stable(esk3_0)), inference(start_rule)). % 0.14/0.40 cnf(i_0_20, plain, (stable(esk3_0)), inference(extension_rule, [i_0_1])). % 0.14/0.40 cnf(i_0_149, plain, (~environment(esk3_0)), inference(closure_rule, [i_0_16])). % 0.14/0.40 cnf(i_0_145, plain, (contracts_from(appear(efficient_producers,esk3_0),first_movers)), inference(extension_rule, [i_0_14])). % 0.14/0.40 cnf(i_0_221, plain, (~greater(appear(efficient_producers,esk3_0),appear(efficient_producers,esk3_0))), inference(extension_rule, [i_0_10])). % 0.14/0.40 cnf(i_0_226, plain, (~greater_or_equal(appear(efficient_producers,esk3_0),appear(efficient_producers,esk3_0))), inference(closure_rule, [i_0_8])). % 0.14/0.40 cnf(i_0_146, plain, (~greater(zero,growth_rate(first_movers,esk1_2(esk3_0,appear(efficient_producers,esk3_0))))), inference(etableau_closure_rule, [i_0_146, ...])). % 0.14/0.41 cnf(i_0_147, plain, (~in_environment(esk3_0,appear(efficient_producers,esk3_0))), inference(etableau_closure_rule, [i_0_147, ...])). % 0.14/0.41 cnf(i_0_224, plain, (appear(efficient_producers,esk3_0)=appear(efficient_producers,esk3_0)), inference(etableau_closure_rule, [i_0_224, ...])). % 0.14/0.41 # End printing tableau % 0.14/0.41 # SZS output end % 0.14/0.41 # Branches closed with saturation will be marked with an "s" % 0.14/0.41 # Child (93985) has found a proof. % 0.14/0.41 % 0.14/0.41 # Proof search is over... % 0.14/0.41 # Freeing feature tree %------------------------------------------------------------------------------