%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n013.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 06:04:31 AM UTC 2026
% Result : Theorem 0.24s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n013.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 12:22:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.47 start to proof:theBenchmark.p
% 0.24/0.54 % Version : CSI_E---1.1
% 0.24/0.54 % Problem : theBenchmark.p
% 0.24/0.54 % Proof found!
% 0.24/0.54 % SZS status Theorem for theBenchmark.p
% 0.24/0.54 % SZS output start Proof
% 0.24/0.54 fof(prove_t1, conjecture, ![X1]:(((environment(X1)&stable(X1))=>?[X5]:((in_environment(X1,X5)&![X4]:(((subpopulations(first_movers,efficient_producers,X1,X4)&greater_or_equal(X4,X5))=>selection_favors(efficient_producers,first_movers,X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_t1)).
% 0.24/0.54 fof(l1, hypothesis, ![X1]:(((environment(X1)&stable(X1))=>?[X5]:((in_environment(X1,X5)&![X4]:(((subpopulations(first_movers,efficient_producers,X1,X4)&greater_or_equal(X4,X5))=>greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l1)).
% 0.24/0.54 fof(mp1_high_growth_rates, axiom, ![X1, X2, X3, X4]:((((environment(X1)&subpopulations(X2,X3,X1,X4))&greater(growth_rate(X3,X4),growth_rate(X2,X4)))=>selection_favors(X3,X2,X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp1_high_growth_rates)).
% 0.24/0.54 fof(c_0_3, negated_conjecture, ~(![X1]:(((environment(X1)&stable(X1))=>?[X5]:((in_environment(X1,X5)&![X4]:(((subpopulations(first_movers,efficient_producers,X1,X4)&greater_or_equal(X4,X5))=>selection_favors(efficient_producers,first_movers,X4)))))))), inference(assume_negation,[status(cth)],[prove_t1])).
% 0.24/0.54 fof(c_0_4, hypothesis, ![X6, X8]:(((in_environment(X6,esk1_1(X6))|(~environment(X6)|~stable(X6)))&(~subpopulations(first_movers,efficient_producers,X6,X8)|~greater_or_equal(X8,esk1_1(X6))|greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))|(~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)],[l1])])])])])])).
% 0.24/0.54 fof(c_0_5, negated_conjecture, ![X10]:(((environment(esk2_0)&stable(esk2_0))&(((subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X10))|~in_environment(esk2_0,X10))&(greater_or_equal(esk3_1(X10),X10)|~in_environment(esk2_0,X10)))&(~selection_favors(efficient_producers,first_movers,esk3_1(X10))|~in_environment(esk2_0,X10))))), 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_3])])])])])])).
% 0.24/0.54 fof(c_0_6, plain, ![X12, X13, X14, X15]:((~environment(X12)|~subpopulations(X13,X14,X12,X15)|~greater(growth_rate(X14,X15),growth_rate(X13,X15))|selection_favors(X14,X13,X15))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp1_high_growth_rates])])])).
% 0.24/0.54 cnf(c_0_7, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater_or_equal(X2,esk1_1(X1))|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.24/0.54 cnf(c_0_8, negated_conjecture, (greater_or_equal(esk3_1(X1),X1)|~in_environment(esk2_0,X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.24/0.54 cnf(c_0_9, plain, (selection_favors(X3,X2,X4)|~environment(X1)|~subpopulations(X2,X3,X1,X4)|~greater(growth_rate(X3,X4),growth_rate(X2,X4))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.24/0.54 cnf(c_0_10, negated_conjecture, (greater(growth_rate(efficient_producers,esk3_1(esk1_1(X1))),growth_rate(first_movers,esk3_1(esk1_1(X1))))|~in_environment(esk2_0,esk1_1(X1))|~stable(X1)|~subpopulations(first_movers,efficient_producers,X1,esk3_1(esk1_1(X1)))|~environment(X1)), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.24/0.54 cnf(c_0_11, negated_conjecture, (~selection_favors(efficient_producers,first_movers,esk3_1(X1))|~in_environment(esk2_0,X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.24/0.54 cnf(c_0_12, negated_conjecture, (~in_environment(esk2_0,esk1_1(X1))|~stable(X1)|~subpopulations(first_movers,efficient_producers,X2,esk3_1(esk1_1(X1)))|~subpopulations(first_movers,efficient_producers,X1,esk3_1(esk1_1(X1)))|~environment(X2)|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])).
% 0.24/0.54 cnf(c_0_13, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X1))|~in_environment(esk2_0,X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.24/0.54 cnf(c_0_14, negated_conjecture, (environment(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.24/0.54 cnf(c_0_15, negated_conjecture, (~in_environment(esk2_0,esk1_1(X1))|~stable(X1)|~subpopulations(first_movers,efficient_producers,X1,esk3_1(esk1_1(X1)))|~environment(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])])).
% 0.24/0.54 cnf(c_0_16, negated_conjecture, (stable(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.24/0.54 cnf(c_0_17, negated_conjecture, (~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_15, c_0_13]), c_0_16]), c_0_14])])).
% 0.24/0.54 cnf(c_0_18, hypothesis, (in_environment(X1,esk1_1(X1))|~environment(X1)|~stable(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.24/0.54 cnf(c_0_19, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_16]), c_0_14])]), ['proof']).
% 0.24/0.54 % SZS output end Proof
% 0.24/0.54 % User time : 0.006 s
% 0.24/0.54 % System time : 0.000 s
% 0.24/0.54 % Total time : 0.006 s
% 0.24/0.54 % User time : 0.007 s
% 0.24/0.54 % System time : 0.003 s
% 0.24/0.54 % Total time : 0.010 s
% 0.24/0.54
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