%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT028+1 : TPTP v9.3.0. Released v2.0.0.
% 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 06:04:30 AM UTC 2026
% Result : Theorem 0.23s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT028+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 12:15:54 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.47 start to proof:theBenchmark.p
% 0.23/0.54 % Version : CSI_E---1.1
% 0.23/0.54 % Problem : theBenchmark.p
% 0.23/0.54 % Proof found!
% 0.23/0.54 % SZS status Theorem for theBenchmark.p
% 0.23/0.54 % SZS output start Proof
% 0.23/0.54 fof(mp_first_movers_negative_growth, axiom, ![X1]:((((environment(X1)&stable(X1))&?[X2]:((in_environment(X1,X2)&![X3]:(((subpopulations(first_movers,efficient_producers,X1,X3)&greater_or_equal(X3,X2))=>greater(zero,growth_rate(first_movers,X3)))))))=>?[X4]:((greater(X4,appear(efficient_producers,X1))&![X3]:(((subpopulations(first_movers,efficient_producers,X1,X3)&greater_or_equal(X3,X4))=>greater(zero,growth_rate(first_movers,X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_first_movers_negative_growth)).
% 0.23/0.54 fof(l11, hypothesis, ![X1]:(((environment(X1)&stable(X1))=>?[X5]:((in_environment(X1,X5)&![X3]:(((subpopulations(first_movers,efficient_producers,X1,X3)&greater_or_equal(X3,X5))=>(greater(growth_rate(efficient_producers,X3),zero)&greater(zero,growth_rate(first_movers,X3))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l11)).
% 0.23/0.54 fof(prove_l10, conjecture, ![X1]:(((environment(X1)&stable(X1))=>?[X5]:((greater(X5,appear(efficient_producers,X1))&![X3]:(((subpopulations(first_movers,efficient_producers,X1,X3)&greater_or_equal(X3,X5))=>greater(zero,growth_rate(first_movers,X3)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_l10)).
% 0.23/0.54 fof(c_0_3, plain, ![X12, X13, X16]:(((((greater(esk5_1(X12),appear(efficient_producers,X12))|(subpopulations(first_movers,efficient_producers,X12,esk4_2(X12,X13))|~in_environment(X12,X13)|(~environment(X12)|~stable(X12))))&(~subpopulations(first_movers,efficient_producers,X12,X16)|~greater_or_equal(X16,esk5_1(X12))|greater(zero,growth_rate(first_movers,X16))|(subpopulations(first_movers,efficient_producers,X12,esk4_2(X12,X13))|~in_environment(X12,X13)|(~environment(X12)|~stable(X12)))))&((greater(esk5_1(X12),appear(efficient_producers,X12))|(greater_or_equal(esk4_2(X12,X13),X13)|~in_environment(X12,X13)|(~environment(X12)|~stable(X12))))&(~subpopulations(first_movers,efficient_producers,X12,X16)|~greater_or_equal(X16,esk5_1(X12))|greater(zero,growth_rate(first_movers,X16))|(greater_or_equal(esk4_2(X12,X13),X13)|~in_environment(X12,X13)|(~environment(X12)|~stable(X12))))))&((greater(esk5_1(X12),appear(efficient_producers,X12))|(~greater(zero,growth_rate(first_movers,esk4_2(X12,X13)))|~in_environment(X12,X13)|(~environment(X12)|~stable(X12))))&(~subpopulations(first_movers,efficient_producers,X12,X16)|~greater_or_equal(X16,esk5_1(X12))|greater(zero,growth_rate(first_movers,X16))|(~greater(zero,growth_rate(first_movers,esk4_2(X12,X13)))|~in_environment(X12,X13)|(~environment(X12)|~stable(X12))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_first_movers_negative_growth])])])])])])).
% 0.23/0.54 fof(c_0_4, hypothesis, ![X6, X8]:(((in_environment(X6,esk1_1(X6))|(~environment(X6)|~stable(X6)))&((greater(growth_rate(efficient_producers,X8),zero)|(~subpopulations(first_movers,efficient_producers,X6,X8)|~greater_or_equal(X8,esk1_1(X6)))|(~environment(X6)|~stable(X6)))&(greater(zero,growth_rate(first_movers,X8))|(~subpopulations(first_movers,efficient_producers,X6,X8)|~greater_or_equal(X8,esk1_1(X6)))|(~environment(X6)|~stable(X6)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l11])])])])])])).
% 0.23/0.54 cnf(c_0_5, plain, (greater(esk5_1(X1),appear(efficient_producers,X1))|subpopulations(first_movers,efficient_producers,X1,esk4_2(X1,X2))|~in_environment(X1,X2)|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.54 cnf(c_0_6, hypothesis, (in_environment(X1,esk1_1(X1))|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.23/0.54 cnf(c_0_7, plain, (greater(esk5_1(X1),appear(efficient_producers,X1))|greater_or_equal(esk4_2(X1,X2),X2)|~in_environment(X1,X2)|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.54 fof(c_0_8, negated_conjecture, ~(![X1]:(((environment(X1)&stable(X1))=>?[X5]:((greater(X5,appear(efficient_producers,X1))&![X3]:(((subpopulations(first_movers,efficient_producers,X1,X3)&greater_or_equal(X3,X5))=>greater(zero,growth_rate(first_movers,X3))))))))), inference(assume_negation,[status(cth)],[prove_l10])).
% 0.23/0.54 cnf(c_0_9, hypothesis, (greater(zero,growth_rate(first_movers,X1))|~subpopulations(first_movers,efficient_producers,X2,X1)|~greater_or_equal(X1,esk1_1(X2))|~environment(X2)|~stable(X2)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.23/0.54 cnf(c_0_10, hypothesis, (greater(esk5_1(X1),appear(efficient_producers,X1))|subpopulations(first_movers,efficient_producers,X1,esk4_2(X1,esk1_1(X1)))|~stable(X1)|~environment(X1)), inference(spm,[status(thm)],[c_0_5, c_0_6])).
% 0.23/0.54 cnf(c_0_11, hypothesis, (greater(esk5_1(X1),appear(efficient_producers,X1))|greater_or_equal(esk4_2(X1,esk1_1(X1)),esk1_1(X1))|~stable(X1)|~environment(X1)), inference(spm,[status(thm)],[c_0_7, c_0_6])).
% 0.23/0.54 fof(c_0_12, negated_conjecture, ![X10]:(((environment(esk2_0)&stable(esk2_0))&(((subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X10))|~greater(X10,appear(efficient_producers,esk2_0)))&(greater_or_equal(esk3_1(X10),X10)|~greater(X10,appear(efficient_producers,esk2_0))))&(~greater(zero,growth_rate(first_movers,esk3_1(X10)))|~greater(X10,appear(efficient_producers,esk2_0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])).
% 0.23/0.54 cnf(c_0_13, hypothesis, (greater(zero,growth_rate(first_movers,esk4_2(X1,esk1_1(X1))))|greater(esk5_1(X1),appear(efficient_producers,X1))|~stable(X1)|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])).
% 0.23/0.54 cnf(c_0_14, negated_conjecture, (stable(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.23/0.54 cnf(c_0_15, negated_conjecture, (environment(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.23/0.54 cnf(c_0_16, plain, (greater(esk5_1(X1),appear(efficient_producers,X1))|~greater(zero,growth_rate(first_movers,esk4_2(X1,X2)))|~in_environment(X1,X2)|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.54 cnf(c_0_17, negated_conjecture, (greater(zero,growth_rate(first_movers,esk4_2(esk2_0,esk1_1(esk2_0))))|greater(esk5_1(esk2_0),appear(efficient_producers,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])])).
% 0.23/0.54 cnf(c_0_18, negated_conjecture, (greater(esk5_1(esk2_0),appear(efficient_producers,esk2_0))|~in_environment(esk2_0,esk1_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_14]), c_0_15])])).
% 0.23/0.54 cnf(c_0_19, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X1))|~greater(X1,appear(efficient_producers,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.23/0.54 cnf(c_0_20, hypothesis, (greater(esk5_1(esk2_0),appear(efficient_producers,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_6]), c_0_14]), c_0_15])])).
% 0.23/0.54 cnf(c_0_21, negated_conjecture, (~greater(zero,growth_rate(first_movers,esk3_1(X1)))|~greater(X1,appear(efficient_producers,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.23/0.54 cnf(c_0_22, negated_conjecture, (greater_or_equal(esk3_1(X1),X1)|~greater(X1,appear(efficient_producers,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.23/0.54 cnf(c_0_23, plain, (greater(zero,growth_rate(first_movers,X2))|subpopulations(first_movers,efficient_producers,X1,esk4_2(X1,X3))|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater_or_equal(X2,esk5_1(X1))|~in_environment(X1,X3)|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.54 cnf(c_0_24, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(esk5_1(esk2_0)))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.23/0.54 cnf(c_0_25, negated_conjecture, (~greater(zero,growth_rate(first_movers,esk3_1(esk5_1(esk2_0))))), inference(spm,[status(thm)],[c_0_21, c_0_20])).
% 0.23/0.54 cnf(c_0_26, negated_conjecture, (greater_or_equal(esk3_1(esk5_1(esk2_0)),esk5_1(esk2_0))), inference(spm,[status(thm)],[c_0_22, c_0_20])).
% 0.23/0.54 cnf(c_0_27, plain, (greater(zero,growth_rate(first_movers,X2))|greater_or_equal(esk4_2(X1,X3),X3)|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater_or_equal(X2,esk5_1(X1))|~in_environment(X1,X3)|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.54 cnf(c_0_28, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk2_0,esk4_2(esk2_0,X1))|~in_environment(esk2_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_14]), c_0_15])]), c_0_25]), c_0_26])])).
% 0.23/0.54 cnf(c_0_29, negated_conjecture, (greater_or_equal(esk4_2(esk2_0,X1),X1)|~in_environment(esk2_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_24]), c_0_14]), c_0_15])]), c_0_25]), c_0_26])])).
% 0.23/0.54 cnf(c_0_30, plain, (greater(zero,growth_rate(first_movers,X2))|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater_or_equal(X2,esk5_1(X1))|~greater(zero,growth_rate(first_movers,esk4_2(X1,X3)))|~in_environment(X1,X3)|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.23/0.54 cnf(c_0_31, hypothesis, (subpopulations(first_movers,efficient_producers,esk2_0,esk4_2(esk2_0,esk1_1(esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_6]), c_0_14]), c_0_15])])).
% 0.23/0.54 cnf(c_0_32, hypothesis, (greater_or_equal(esk4_2(esk2_0,esk1_1(esk2_0)),esk1_1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_6]), c_0_14]), c_0_15])])).
% 0.23/0.54 cnf(c_0_33, negated_conjecture, (~greater(zero,growth_rate(first_movers,esk4_2(esk2_0,X1)))|~in_environment(esk2_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_24]), c_0_14]), c_0_15])]), c_0_25]), c_0_26])])).
% 0.23/0.54 cnf(c_0_34, hypothesis, (greater(zero,growth_rate(first_movers,esk4_2(esk2_0,esk1_1(esk2_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_31]), c_0_32]), c_0_14]), c_0_15])])).
% 0.23/0.54 cnf(c_0_35, negated_conjecture, (~in_environment(esk2_0,esk1_1(esk2_0))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 0.23/0.54 cnf(c_0_36, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_6]), c_0_14]), c_0_15])]), ['proof']).
% 0.23/0.54 % SZS output end Proof
% 0.23/0.54 % User time : 0.007 s
% 0.23/0.54 % System time : 0.003 s
% 0.23/0.54 % Total time : 0.010 s
% 0.23/0.54 % User time : 0.010 s
% 0.23/0.54 % System time : 0.004 s
% 0.23/0.54 % Total time : 0.015 s
% 0.23/0.54
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