%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT036+3 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n010.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 06:04:32 AM UTC 2026
% Result : Theorem 0.24s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036+3 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 7 12:42:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.24/0.48 start to proof:theBenchmark.p
% 0.24/0.55 % Version : CSI_E---1.1
% 0.24/0.55 % Problem : theBenchmark.p
% 0.24/0.55 % Proof found!
% 0.24/0.55 % SZS status Theorem for theBenchmark.p
% 0.24/0.55 % SZS output start Proof
% 0.24/0.55 fof(prove_t5_star, conjecture, ?[X1, X4]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X4))&outcompetes(first_movers,efficient_producers,X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_t5_star)).
% 0.24/0.55 fof(d2, hypothesis, ![X1, X2, X3, X4]:(((environment(X1)&subpopulations(X2,X3,X1,X4))=>((greater_or_equal(growth_rate(X3,X4),zero)&greater(zero,growth_rate(X2,X4)))<=>outcompetes(X3,X2,X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2)).
% 0.24/0.55 fof(a13_star, hypothesis, ?[X1, X4]:((((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X4))&greater_or_equal(growth_rate(first_movers,X4),zero))&greater(zero,growth_rate(efficient_producers,X4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a13_star)).
% 0.24/0.55 fof(mp_symmetry_of_subpopulations, axiom, ![X1, X2, X3, X4]:(((environment(X1)&subpopulations(X2,X3,X1,X4))=>subpopulations(X3,X2,X1,X4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_symmetry_of_subpopulations)).
% 0.24/0.55 fof(c_0_4, negated_conjecture, ~(?[X1, X4]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X4))&outcompetes(first_movers,efficient_producers,X4)))), inference(assume_negation,[status(cth)],[prove_t5_star])).
% 0.24/0.55 fof(c_0_5, hypothesis, ![X5, X6, X7, X8]:(((~greater_or_equal(growth_rate(X7,X8),zero)|~greater(zero,growth_rate(X6,X8))|outcompetes(X7,X6,X8)|(~environment(X5)|~subpopulations(X6,X7,X5,X8)))&((greater_or_equal(growth_rate(X7,X8),zero)|~outcompetes(X7,X6,X8)|(~environment(X5)|~subpopulations(X6,X7,X5,X8)))&(greater(zero,growth_rate(X6,X8))|~outcompetes(X7,X6,X8)|(~environment(X5)|~subpopulations(X6,X7,X5,X8)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2])])])])).
% 0.24/0.55 fof(c_0_6, hypothesis, (((environment(esk1_0)&subpopulations(first_movers,efficient_producers,esk1_0,esk2_0))&greater_or_equal(growth_rate(first_movers,esk2_0),zero))&greater(zero,growth_rate(efficient_producers,esk2_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[a13_star])])).
% 0.24/0.55 fof(c_0_7, negated_conjecture, ![X11, X12]:((~environment(X11)|~subpopulations(first_movers,efficient_producers,X11,X12)|~outcompetes(first_movers,efficient_producers,X12))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
% 0.24/0.55 cnf(c_0_8, hypothesis, (outcompetes(X1,X3,X2)|~greater_or_equal(growth_rate(X1,X2),zero)|~greater(zero,growth_rate(X3,X2))|~environment(X4)|~subpopulations(X3,X1,X4,X2)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.24/0.55 cnf(c_0_9, hypothesis, (greater(zero,growth_rate(efficient_producers,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.24/0.55 cnf(c_0_10, negated_conjecture, (~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)|~outcompetes(first_movers,efficient_producers,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.24/0.55 cnf(c_0_11, hypothesis, (subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.24/0.55 cnf(c_0_12, hypothesis, (environment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.24/0.55 fof(c_0_13, plain, ![X13, X14, X15, X16]:((~environment(X13)|~subpopulations(X14,X15,X13,X16)|subpopulations(X15,X14,X13,X16))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_symmetry_of_subpopulations])])])).
% 0.24/0.55 cnf(c_0_14, hypothesis, (outcompetes(X1,efficient_producers,esk2_0)|~greater_or_equal(growth_rate(X1,esk2_0),zero)|~subpopulations(efficient_producers,X1,X2,esk2_0)|~environment(X2)), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 0.24/0.55 cnf(c_0_15, hypothesis, (greater_or_equal(growth_rate(first_movers,esk2_0),zero)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.24/0.55 cnf(c_0_16, negated_conjecture, (~outcompetes(first_movers,efficient_producers,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12])])).
% 0.24/0.55 cnf(c_0_17, plain, (subpopulations(X3,X2,X1,X4)|~environment(X1)|~subpopulations(X2,X3,X1,X4)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.55 cnf(c_0_18, hypothesis, (~subpopulations(efficient_producers,first_movers,X1,esk2_0)|~environment(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])).
% 0.24/0.55 cnf(c_0_19, hypothesis, (subpopulations(efficient_producers,first_movers,esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_11]), c_0_12])])).
% 0.24/0.55 cnf(c_0_20, hypothesis, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_12])]), ['proof']).
% 0.24/0.55 % SZS output end Proof
% 0.24/0.55 % User time : 0.005 s
% 0.24/0.55 % System time : 0.002 s
% 0.24/0.55 % Total time : 0.007 s
% 0.24/0.55 % User time : 0.008 s
% 0.24/0.55 % System time : 0.004 s
% 0.24/0.55 % Total time : 0.012 s
% 0.24/0.55
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