%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %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 06:04:29 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %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 12:08:24 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.22/0.47 start to proof:theBenchmark.p
% 0.22/0.53 % Version : CSI_E---1.1
% 0.22/0.53 % Problem : theBenchmark.p
% 0.22/0.53 % Proof found!
% 0.22/0.53 # SZS status Unsatisfiable
% 0.22/0.53 % SZS output start Proof
% 0.22/0.53 cnf(d1_17, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_17)).
% 0.22/0.53 cnf(l12_20, hypothesis, (in_environment(X1,sk2(X1))|~environment(X1)|~stable(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l12_20)).
% 0.22/0.53 cnf(l12_21, hypothesis, (~environment(X1)|~stable(X1)|~greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l12_21)).
% 0.22/0.53 cnf(l12_22, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|~environment(X1)|~stable(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater(X2,sk2(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l12_22)).
% 0.22/0.53 cnf(d1_19, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)|~greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_19)).
% 0.22/0.53 cnf(d1_18, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|greater(sk1(X2,X1),X2)|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_18)).
% 0.22/0.53 cnf(prove_l5_25, negated_conjecture, (~in_environment(sk3,critical_point(sk3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_l5_25)).
% 0.22/0.53 cnf(prove_l5_24, negated_conjecture, (stable(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_l5_24)).
% 0.22/0.53 cnf(prove_l5_23, negated_conjecture, (environment(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_l5_23)).
% 0.22/0.53 cnf(c_0_9, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)), inference(fof_simplification,[status(thm)],[d1_17])).
% 0.22/0.53 cnf(c_0_10, hypothesis, (in_environment(X1,sk2(X1))|~environment(X1)|~stable(X1)), inference(fof_simplification,[status(thm)],[l12_20])).
% 0.22/0.53 cnf(c_0_11, hypothesis, (~environment(X1)|~stable(X1)|~greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))), inference(fof_simplification,[status(thm)],[l12_21])).
% 0.22/0.53 cnf(c_0_12, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|~environment(X1)|~stable(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater(X2,sk2(X1))), inference(fof_simplification,[status(thm)],[l12_22])).
% 0.22/0.53 cnf(c_0_13, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)), c_0_9).
% 0.22/0.53 cnf(c_0_14, hypothesis, (in_environment(X1,sk2(X1))|~environment(X1)|~stable(X1)), c_0_10).
% 0.22/0.53 cnf(c_0_15, hypothesis, (~environment(X1)|~stable(X1)|~greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))), c_0_11).
% 0.22/0.53 cnf(c_0_16, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)|~greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))), inference(fof_simplification,[status(thm)],[d1_19])).
% 0.22/0.53 cnf(c_0_17, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|~environment(X1)|~stable(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater(X2,sk2(X1))), c_0_12).
% 0.22/0.53 cnf(c_0_18, hypothesis, (critical_point(X1)=sk2(X1)|subpopulations(first_movers,efficient_producers,X1,sk1(sk2(X1),X1))|~stable(X1)|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])).
% 0.22/0.53 cnf(c_0_19, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|greater(sk1(X2,X1),X2)|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)), inference(fof_simplification,[status(thm)],[d1_18])).
% 0.22/0.53 cnf(c_0_20, negated_conjecture, (~in_environment(sk3,critical_point(sk3))), inference(fof_simplification,[status(thm)],[prove_l5_25])).
% 0.22/0.53 cnf(c_0_21, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)|~greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))), c_0_16).
% 0.22/0.53 cnf(c_0_22, hypothesis, (critical_point(X1)=sk2(X1)|greater(growth_rate(efficient_producers,sk1(sk2(X1),X1)),growth_rate(first_movers,sk1(sk2(X1),X1)))|~stable(X1)|~greater(sk1(sk2(X1),X1),sk2(X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.22/0.53 cnf(c_0_23, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|greater(sk1(X2,X1),X2)|X2=critical_point(X1)|~environment(X1)|~in_environment(X1,X2)), c_0_19).
% 0.22/0.53 cnf(c_0_24, negated_conjecture, (~in_environment(sk3,critical_point(sk3))), c_0_20).
% 0.22/0.53 cnf(c_0_25, hypothesis, (critical_point(X1)=sk2(X1)|~stable(X1)|~environment(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23]), c_0_14]), c_0_15])).
% 0.22/0.53 cnf(c_0_26, negated_conjecture, (stable(sk3)), prove_l5_24).
% 0.22/0.53 cnf(c_0_27, negated_conjecture, (environment(sk3)), prove_l5_23).
% 0.22/0.53 cnf(c_0_28, negated_conjecture, (~in_environment(sk3,sk2(sk3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_27])])).
% 0.22/0.53 cnf(c_0_29, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_14]), c_0_26]), c_0_27])]), ['proof']).
% 0.22/0.53 % SZS output end Proof
% 0.22/0.53 % User time : 0.001 s
% 0.22/0.53 % System time : 0.004 s
% 0.22/0.53 % Total time : 0.005 s
% 0.22/0.53 % User time : 0.002 s
% 0.22/0.53 % System time : 0.008 s
% 0.22/0.53 % Total time : 0.010 s
% 0.22/0.53
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