%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : MGT039+2 : 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 06:09:49 AM UTC 2026 % Result : Theorem 7.86s 1.48s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT039+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.03 % 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 : n003.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 : Mon Sep 7 12:56:54 UTC 2026 % 0.09/0.35 % CPUTime : % 0.12/0.39 # No SInE strategy applied % 0.12/0.39 # Auto-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y % 0.12/0.39 # and selection function SelectMaxLComplexAvoidPosPred. % 0.12/0.39 # % 0.12/0.39 # Presaturation interreduction done % 0.12/0.39 # Number of axioms: 28 Number of unprocessed: 28 % 0.12/0.39 # Tableaux proof search. % 0.12/0.39 # APR header successfully linked. % 0.12/0.39 # Hello from C++ % 0.12/0.39 # The folding up rule is enabled... % 0.12/0.39 # Local unification is enabled... % 0.12/0.39 # Any saturation attempts will use folding labels... % 0.12/0.39 # 28 beginning clauses after preprocessing and clausification % 0.12/0.39 # Creating start rules for all 3 conjectures. % 0.12/0.39 # There are 3 start rule candidates: % 0.12/0.39 # Found 6 unit axioms. % 0.12/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.12/0.39 # 3 start rule tableaux created. % 0.12/0.39 # 22 extension rule candidate clauses % 0.12/0.39 # 6 unit axiom clauses % 0.12/0.39 % 0.12/0.39 # Requested 8, 32 cores available to the main process. % 0.12/0.39 # There are not enough tableaux to fork, creating more from the initial 3 % 0.12/0.39 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux. % 0.12/0.39 # We now have 12 tableaux to operate on % 7.86/1.48 # There were 2 total branch saturation attempts. % 7.86/1.48 # There were 0 of these attempts blocked. % 7.86/1.48 # There were 0 deferred branch saturation attempts. % 7.86/1.48 # There were 0 free duplicated saturations. % 7.86/1.48 # There were 2 total successful branch saturations. % 7.86/1.48 # There were 0 successful branch saturations in interreduction. % 7.86/1.48 # There were 0 successful branch saturations on the branch. % 7.86/1.48 # There were 2 successful branch saturations after the branch. % 7.86/1.48 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.86/1.48 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 7.86/1.48 # Begin clausification derivation % 7.86/1.48 % 7.86/1.48 # End clausification derivation % 7.86/1.48 # Begin listing active clauses obtained from FOF to CNF conversion % 7.86/1.48 cnf(i_0_28, negated_conjecture, (observational_period(esk3_0))). % 7.86/1.48 cnf(i_0_27, negated_conjecture, (slow_change(esk3_0))). % 7.86/1.48 cnf(i_0_8, plain, (propagation_strategy(first_movers))). % 7.86/1.48 cnf(i_0_9, plain, (propagation_strategy(efficient_producers))). % 7.86/1.48 cnf(i_0_20, plain, (greater_or_equal(X1,X1))). % 7.86/1.48 cnf(i_0_26, negated_conjecture, (~selection_favors(efficient_producers,first_movers,esk3_0))). % 7.86/1.48 cnf(i_0_21, plain, (greater_or_equal(X1,X2)|~greater(X1,X2))). % 7.86/1.48 cnf(i_0_22, plain, (X1=X2|greater(X1,X2)|~greater_or_equal(X1,X2))). % 7.86/1.48 cnf(i_0_17, plain, (greater_or_equal(critical_point(X1),start_time(X1))|~environment(X1))). % 7.86/1.48 cnf(i_0_15, plain, (subpopulation(first_movers,X1,X2)|~in_environment(X1,X2)|~environment(X1))). % 7.86/1.48 cnf(i_0_14, plain, (subpopulation(efficient_producers,X1,X2)|~in_environment(X1,X2)|~environment(X1))). % 7.86/1.48 cnf(i_0_16, plain, (greater_or_equal(critical_point(X1),appear(efficient_producers,X1))|~environment(X1))). % 7.86/1.48 cnf(i_0_11, plain, (greater_or_equal(end_time(X1),X2)|~in_environment(X1,X2)|~environment(X1))). % 7.86/1.48 cnf(i_0_5, plain, (selection_favors(efficient_producers,first_movers,X1)|environment(esk1_1(X1))|~observational_period(X1))). % 7.86/1.48 cnf(i_0_4, plain, (in_environment(X1,esk1_1(X1))|selection_favors(efficient_producers,first_movers,X1)|~observational_period(X1))). % 7.86/1.48 cnf(i_0_3, plain, (selection_favors(efficient_producers,first_movers,X1)|~observational_period(X1)|~selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1))))). % 7.86/1.48 cnf(i_0_18, plain, (greater(X1,X2)|~greater(X3,X2)|~greater(X1,X3))). % 7.86/1.48 cnf(i_0_13, plain, (greater_or_equal(cardinality_at_time(first_movers,X1),zero)|~in_environment(X2,X1)|~environment(X2))). % 7.86/1.48 cnf(i_0_7, plain, (in_environment(X1,esk2_2(X2,X1))|~slow_change(X2)|~in_environment(X2,X1)|~observational_period(X2)|~environment(X1))). % 7.86/1.48 cnf(i_0_24, hypothesis, (X1!=critical_point(X2)|~greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~environment(X2))). % 7.86/1.48 cnf(i_0_6, plain, (greater(esk2_2(X1,X2),critical_point(X2))|~slow_change(X1)|~in_environment(X1,X2)|~observational_period(X1)|~environment(X2))). % 7.86/1.48 cnf(i_0_10, plain, (in_environment(X1,X2)|~greater_or_equal(X2,start_time(X1))|~greater_or_equal(end_time(X1),X2)|~environment(X1))). % 7.86/1.48 cnf(i_0_25, hypothesis, (greater(cardinality_at_time(efficient_producers,X1),zero)|~greater_or_equal(X1,appear(efficient_producers,X2))|~in_environment(X2,X1)|~environment(X2))). % 7.86/1.48 cnf(i_0_19, plain, (greater_or_equal(end_time(X1),X2)|greater(X2,end_time(X1))|~greater(X2,start_time(X1))|~environment(X1))). % 7.86/1.48 cnf(i_0_12, plain, (subpopulations(first_movers,efficient_producers,X1,X2)|~in_environment(X1,X2)|~greater(cardinality_at_time(first_movers,X2),zero)|~greater(cardinality_at_time(efficient_producers,X2),zero)|~environment(X1))). % 7.86/1.48 cnf(i_0_1, plain, (selection_favors(X1,X2,X3)|~greater(growth_rate(X1,X3),growth_rate(X2,X3))|~subpopulations(X2,X1,X4,X3)|~environment(X4))). % 7.86/1.48 cnf(i_0_2, plain, (selection_favors(X1,X2,X3)|cardinality_at_time(X2,X3)!=zero|~subpopulation(X2,X4,X3)|~subpopulation(X1,X4,X3)|~greater(cardinality_at_time(X1,X3),zero)|~environment(X4))). % 7.86/1.48 cnf(i_0_23, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|X2!=critical_point(X3)|~greater(X1,X2)|~subpopulations(first_movers,efficient_producers,X3,X1)|~environment(X3))). % 7.86/1.48 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 7.86/1.48 # Begin printing tableau % 7.86/1.48 # Found 6 steps % 7.86/1.48 cnf(i_0_28, negated_conjecture, (observational_period(esk3_0)), inference(start_rule)). % 7.86/1.48 cnf(i_0_32, plain, (observational_period(esk3_0)), inference(extension_rule, [i_0_4])). % 7.86/1.48 cnf(i_0_211, plain, (selection_favors(efficient_producers,first_movers,esk3_0)), inference(closure_rule, [i_0_26])). % 7.86/1.48 cnf(i_0_210, plain, (in_environment(esk3_0,esk1_1(esk3_0))), inference(extension_rule, [i_0_15])). % 7.86/1.48 cnf(i_0_274, plain, (subpopulation(first_movers,esk3_0,esk1_1(esk3_0))), inference(etableau_closure_rule, [i_0_274, ...])). % 7.86/1.48 cnf(i_0_276, plain, (~environment(esk3_0)), inference(etableau_closure_rule, [i_0_276, ...])). % 7.86/1.48 # End printing tableau % 7.86/1.48 # SZS output end % 7.86/1.48 # Branches closed with saturation will be marked with an "s" % 7.86/1.48 # Child (148461) has found a proof. % 7.86/1.48 % 7.86/1.48 # Proof search is over... % 7.86/1.48 # Freeing feature tree %------------------------------------------------------------------------------