%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT036+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n004.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 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT036+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.02 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 12:39:30 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.46 start to proof:theBenchmark.p
% 0.24/0.53 % Version : CSI_E---1.1
% 0.24/0.53 % Problem : theBenchmark.p
% 0.24/0.53 % Proof found!
% 0.24/0.53 % SZS status Theorem for theBenchmark.p
% 0.24/0.53 % SZS output start Proof
% 0.24/0.53 fof(d2, hypothesis, ![X1, X3, X4, X2]:(((environment(X1)&subpopulations(X3,X4,X1,X2))=>((greater_or_equal(growth_rate(X4,X2),zero)&greater(zero,growth_rate(X3,X2)))<=>outcompetes(X4,X3,X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2)).
% 0.24/0.53 fof(mp_symmetry_of_FM_and_EP, axiom, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>subpopulations(efficient_producers,first_movers,X1,X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_symmetry_of_FM_and_EP)).
% 0.24/0.53 fof(prove_t5, conjecture, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>~(outcompetes(first_movers,efficient_producers,X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_t5)).
% 0.24/0.53 fof(mp_growth_rate_relationships, axiom, ![X1, X3, X4, X2]:((((environment(X1)&subpopulations(X3,X4,X1,X2))=>greater_or_equal(growth_rate(X3,X2),zero))<=>~(greater(zero,growth_rate(X3,X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_growth_rate_relationships)).
% 0.24/0.53 fof(a12, hypothesis, ![X1, X3, X4, X2]:(((((environment(X1)&in_environment(X1,X2))&~(greater(zero,growth_rate(X3,X2))))&greater(resilience(X4),resilience(X3)))=>~(greater(zero,growth_rate(X4,X2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a12)).
% 0.24/0.53 fof(mp_time_point_occur, axiom, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>in_environment(X1,X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_time_point_occur)).
% 0.24/0.53 fof(a2, hypothesis, greater(resilience(efficient_producers),resilience(first_movers)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a2)).
% 0.24/0.53 fof(c_0_7, hypothesis, ![X13, X14, X15, X16]:(((~greater_or_equal(growth_rate(X15,X16),zero)|~greater(zero,growth_rate(X14,X16))|outcompetes(X15,X14,X16)|(~environment(X13)|~subpopulations(X14,X15,X13,X16)))&((greater_or_equal(growth_rate(X15,X16),zero)|~outcompetes(X15,X14,X16)|(~environment(X13)|~subpopulations(X14,X15,X13,X16)))&(greater(zero,growth_rate(X14,X16))|~outcompetes(X15,X14,X16)|(~environment(X13)|~subpopulations(X14,X15,X13,X16)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2])])])])).
% 0.24/0.53 fof(c_0_8, plain, ![X5, X6]:((~environment(X5)|~subpopulations(first_movers,efficient_producers,X5,X6)|subpopulations(efficient_producers,first_movers,X5,X6))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_symmetry_of_FM_and_EP])])])).
% 0.24/0.53 fof(c_0_9, negated_conjecture, ~(![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>~outcompetes(first_movers,efficient_producers,X2)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_t5])])).
% 0.24/0.53 fof(c_0_10, plain, ![X1, X3, X4, X2]:((((environment(X1)&subpopulations(X3,X4,X1,X2))=>greater_or_equal(growth_rate(X3,X2),zero))<=>~greater(zero,growth_rate(X3,X2)))), inference(fof_simplification,[status(thm)],[mp_growth_rate_relationships])).
% 0.24/0.53 cnf(c_0_11, hypothesis, (greater(zero,growth_rate(X1,X2))|~outcompetes(X3,X1,X2)|~environment(X4)|~subpopulations(X1,X3,X4,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.24/0.53 cnf(c_0_12, plain, (subpopulations(efficient_producers,first_movers,X1,X2)|~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.24/0.53 fof(c_0_13, negated_conjecture, ((environment(esk1_0)&subpopulations(first_movers,efficient_producers,esk1_0,esk2_0))&outcompetes(first_movers,efficient_producers,esk2_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
% 0.24/0.53 fof(c_0_14, plain, ![X9, X10, X11, X12]:(((((environment(X9)|~greater(zero,growth_rate(X10,X12)))&(subpopulations(X10,X11,X9,X12)|~greater(zero,growth_rate(X10,X12))))&(~greater_or_equal(growth_rate(X10,X12),zero)|~greater(zero,growth_rate(X10,X12))))&(greater(zero,growth_rate(X10,X12))|(~environment(X9)|~subpopulations(X10,X11,X9,X12)|greater_or_equal(growth_rate(X10,X12),zero))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
% 0.24/0.53 cnf(c_0_15, hypothesis, (greater(zero,growth_rate(efficient_producers,X1))|~outcompetes(first_movers,efficient_producers,X1)|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.24/0.53 cnf(c_0_16, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.53 cnf(c_0_17, negated_conjecture, (outcompetes(first_movers,efficient_producers,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.53 cnf(c_0_18, negated_conjecture, (environment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.53 cnf(c_0_19, plain, (environment(X1)|~greater(zero,growth_rate(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.24/0.53 cnf(c_0_20, negated_conjecture, (greater(zero,growth_rate(efficient_producers,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_18])])).
% 0.24/0.53 cnf(c_0_21, hypothesis, (greater_or_equal(growth_rate(X1,X2),zero)|~outcompetes(X1,X3,X2)|~environment(X4)|~subpopulations(X3,X1,X4,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.24/0.53 cnf(c_0_22, negated_conjecture, (environment(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.24/0.53 fof(c_0_23, hypothesis, ![X1, X3, X4, X2]:(((((environment(X1)&in_environment(X1,X2))&~greater(zero,growth_rate(X3,X2)))&greater(resilience(X4),resilience(X3)))=>~greater(zero,growth_rate(X4,X2)))), inference(fof_simplification,[status(thm)],[a12])).
% 0.24/0.53 cnf(c_0_24, hypothesis, (greater_or_equal(growth_rate(X1,X2),zero)|~outcompetes(X1,X3,X2)|~subpopulations(X3,X1,X4,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 0.24/0.53 cnf(c_0_25, plain, (subpopulations(X1,X2,X3,X4)|~greater(zero,growth_rate(X1,X4))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.24/0.53 fof(c_0_26, hypothesis, ![X17, X18, X19, X20]:((~environment(X17)|~in_environment(X17,X20)|greater(zero,growth_rate(X18,X20))|~greater(resilience(X19),resilience(X18))|~greater(zero,growth_rate(X19,X20)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
% 0.24/0.53 cnf(c_0_27, hypothesis, (greater_or_equal(growth_rate(X1,X2),zero)|~outcompetes(X1,X3,X2)|~greater(zero,growth_rate(X3,X2))), inference(spm,[status(thm)],[c_0_24, c_0_25])).
% 0.24/0.53 cnf(c_0_28, hypothesis, (greater(zero,growth_rate(X3,X2))|~environment(X1)|~in_environment(X1,X2)|~greater(resilience(X4),resilience(X3))|~greater(zero,growth_rate(X4,X2))), inference(split_conjunct,[status(thm)],[c_0_26])).
% 0.24/0.53 cnf(c_0_29, plain, (~greater_or_equal(growth_rate(X1,X2),zero)|~greater(zero,growth_rate(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.24/0.53 cnf(c_0_30, negated_conjecture, (greater_or_equal(growth_rate(X1,esk2_0),zero)|~outcompetes(X1,efficient_producers,esk2_0)), inference(spm,[status(thm)],[c_0_27, c_0_20])).
% 0.24/0.53 cnf(c_0_31, hypothesis, (greater(zero,growth_rate(X1,X2))|~greater(zero,growth_rate(X3,X2))|~greater(resilience(X3),resilience(X1))|~in_environment(X4,X2)), inference(csr,[status(thm)],[c_0_28, c_0_19])).
% 0.24/0.53 cnf(c_0_32, negated_conjecture, (~outcompetes(X1,efficient_producers,esk2_0)|~greater(zero,growth_rate(X1,esk2_0))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 0.24/0.53 fof(c_0_33, plain, ![X7, X8]:((~environment(X7)|~subpopulations(first_movers,efficient_producers,X7,X8)|in_environment(X7,X8))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_occur])])])).
% 0.24/0.53 cnf(c_0_34, negated_conjecture, (greater(zero,growth_rate(X1,esk2_0))|~greater(resilience(efficient_producers),resilience(X1))|~in_environment(X2,esk2_0)), inference(spm,[status(thm)],[c_0_31, c_0_20])).
% 0.24/0.53 cnf(c_0_35, hypothesis, (greater(resilience(efficient_producers),resilience(first_movers))), inference(split_conjunct,[status(thm)],[a2])).
% 0.24/0.53 cnf(c_0_36, negated_conjecture, (~greater(zero,growth_rate(first_movers,esk2_0))), inference(spm,[status(thm)],[c_0_32, c_0_17])).
% 0.24/0.53 cnf(c_0_37, plain, (in_environment(X1,X2)|~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.24/0.53 cnf(c_0_38, hypothesis, (~in_environment(X1,esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
% 0.24/0.53 cnf(c_0_39, plain, (in_environment(X1,X2)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_22])])).
% 0.24/0.53 cnf(c_0_40, hypothesis, (~subpopulations(first_movers,efficient_producers,X1,esk2_0)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
% 0.24/0.53 cnf(c_0_41, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_16, c_0_40]), ['proof']).
% 0.24/0.53 % SZS output end Proof
% 0.24/0.53 % User time : 0.007 s
% 0.24/0.53 % System time : 0.003 s
% 0.24/0.53 % Total time : 0.009 s
% 0.24/0.53 % User time : 0.016 s
% 0.24/0.53 % System time : 0.008 s
% 0.24/0.53 % Total time : 0.025 s
% 0.24/0.53
%------------------------------------------------------------------------------