%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT019+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n006.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 06:02:52 AM UTC 2026
% Result : CounterSatisfiable 3.39s 2.25s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT019+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.05 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 7 11:59:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 3.39/2.25
% 3.39/2.25 % SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/2.25
% 3.39/2.25 % SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/2.26 %$ subpopulations > in_environment > greater_or_equal > greater > stable > environment > growth_rate > founding_rate > disbanding_rate > #nlpp > first_movers > efficient_producers > #skF_5 > #skF_2 > #skF_1 > #skF_4 > #skF_3
% 3.39/2.26
% 3.39/2.26 %Foreground sorts:
% 3.39/2.26
% 3.39/2.26
% 3.39/2.26 %Background operators:
% 3.39/2.26
% 3.39/2.26
% 3.39/2.26 %Foreground operators:
% 3.39/2.26 tff(subpopulations, type, subpopulations: ($i * $i * $i * $i) > $o).
% 3.39/2.26 tff(greater, type, greater: ($i * $i) > $o).
% 3.39/2.26 tff('#skF_5', type, '#skF_5': $i > $i).
% 3.39/2.26 tff(in_environment, type, in_environment: ($i * $i) > $o).
% 3.39/2.26 tff(founding_rate, type, founding_rate: ($i * $i) > $i).
% 3.39/2.26 tff(efficient_producers, type, efficient_producers: $i).
% 3.39/2.26 tff(disbanding_rate, type, disbanding_rate: ($i * $i) > $i).
% 3.39/2.26 tff(growth_rate, type, growth_rate: ($i * $i) > $i).
% 3.39/2.26 tff('#skF_2', type, '#skF_2': $i).
% 3.39/2.26 tff('#skF_1', type, '#skF_1': $i).
% 3.39/2.26 tff(environment, type, environment: $i > $o).
% 3.39/2.26 tff(first_movers, type, first_movers: $i).
% 3.39/2.26 tff('#skF_4', type, '#skF_4': $i).
% 3.39/2.26 tff('#skF_3', type, '#skF_3': $i > $i).
% 3.39/2.26 tff(greater_or_equal, type, greater_or_equal: ($i * $i) > $o).
% 3.39/2.26 tff(stable, type, stable: $i > $o).
% 3.39/2.26
% 3.39/2.26 %Saturated clause set:
% 3.39/2.27 tff(c_55, plain, (![E_27]: (~greater(disbanding_rate(first_movers, '#skF_5'('#skF_3'(E_27))), disbanding_rate(efficient_producers, '#skF_5'('#skF_3'(E_27)))) | ~subpopulations(first_movers, efficient_producers, E_27, '#skF_5'('#skF_3'(E_27))) | ~stable(E_27) | ~environment(E_27) | ~in_environment('#skF_4', '#skF_3'(E_27))))).
% 3.39/2.27 tff(c_49, plain, (![E_25]: (founding_rate(first_movers, '#skF_5'('#skF_3'(E_25)))=founding_rate(efficient_producers, '#skF_5'('#skF_3'(E_25))) | greater(founding_rate(efficient_producers, '#skF_5'('#skF_3'(E_25))), founding_rate(first_movers, '#skF_5'('#skF_3'(E_25)))) | ~subpopulations(first_movers, efficient_producers, E_25, '#skF_5'('#skF_3'(E_25))) | ~stable(E_25) | ~environment(E_25) | ~in_environment('#skF_4', '#skF_3'(E_25))))).
% 3.39/2.27 tff(c_39, plain, (![E_23]: (greater_or_equal(founding_rate(efficient_producers, '#skF_5'('#skF_3'(E_23))), founding_rate(first_movers, '#skF_5'('#skF_3'(E_23)))) | ~subpopulations(first_movers, efficient_producers, E_23, '#skF_5'('#skF_3'(E_23))) | ~stable(E_23) | ~environment(E_23) | ~in_environment('#skF_4', '#skF_3'(E_23))))).
% 3.39/2.27 tff(c_8, plain, (![T_1]: (greater(growth_rate(efficient_producers, T_1), growth_rate(first_movers, T_1)) | ~greater_or_equal(founding_rate(efficient_producers, T_1), founding_rate(first_movers, T_1)) | ~greater(disbanding_rate(first_movers, T_1), disbanding_rate(efficient_producers, T_1))))).
% 3.39/2.27 tff(c_12, plain, (![T_9, E_4]: (greater_or_equal(founding_rate(efficient_producers, T_9), founding_rate(first_movers, T_9)) | ~greater_or_equal(T_9, '#skF_3'(E_4)) | ~subpopulations(first_movers, efficient_producers, E_4, T_9) | ~stable(E_4) | ~environment(E_4)))).
% 3.39/2.27 tff(c_31, plain, (![To_13]: ('#skF_5'(To_13)=To_13 | greater('#skF_5'(To_13), To_13) | ~in_environment('#skF_4', To_13)))).
% 3.39/2.27 tff(c_20, plain, (![To_13]: (~greater(growth_rate(efficient_producers, '#skF_5'(To_13)), growth_rate(first_movers, '#skF_5'(To_13))) | ~in_environment('#skF_4', To_13)))).
% 3.39/2.27 tff(c_24, plain, (![To_13]: (subpopulations(first_movers, efficient_producers, '#skF_4', '#skF_5'(To_13)) | ~in_environment('#skF_4', To_13)))).
% 3.39/2.27 tff(c_10, plain, (![Y_3, X_2]: (Y_3=X_2 | greater(X_2, Y_3) | ~greater_or_equal(X_2, Y_3)))).
% 3.39/2.27 tff(c_14, plain, (![E_4]: (in_environment(E_4, '#skF_3'(E_4)) | ~stable(E_4) | ~environment(E_4)))).
% 3.39/2.27 tff(c_2, plain, (~greater(disbanding_rate(first_movers, '#skF_2'), disbanding_rate(efficient_producers, '#skF_2')))).
% 3.39/2.27 tff(c_22, plain, (![To_13]: (greater_or_equal('#skF_5'(To_13), To_13) | ~in_environment('#skF_4', To_13)))).
% 3.39/2.27 tff(c_4, plain, (subpopulations(first_movers, efficient_producers, '#skF_1', '#skF_2'))).
% 3.39/2.27 tff(c_6, plain, (environment('#skF_1'))).
% 3.39/2.27 tff(c_16, plain, (stable('#skF_4'))).
% 3.39/2.27 tff(c_18, plain, (environment('#skF_4'))).
% 3.39/2.27 % SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/2.27
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