%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT022+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n009.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 : Theorem 0.25s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT022+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n009.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 7 12:04:07 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.14/0.45 start to proof:theBenchmark.p
% 0.25/0.52 % Version : CSI_E---1.1
% 0.25/0.52 % Problem : theBenchmark.p
% 0.25/0.52 % Proof found!
% 0.25/0.52 % SZS status Theorem for theBenchmark.p
% 0.25/0.52 % SZS output start Proof
% 0.25/0.52 fof(a5, hypothesis, ![X2, X3, X4, X5]:((((environment(X2)&subpopulations(X3,X4,X2,X5))&greater(resilience(X4),resilience(X3)))=>((decreases(resources(X2,X5))=>increases(difference(disbanding_rate(X3,X5),disbanding_rate(X4,X5))))&(constant(resources(X2,X5))=>constant(difference(disbanding_rate(X3,X5),disbanding_rate(X4,X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a5)).
% 0.25/0.52 fof(prove_l4, conjecture, ![X2, X5]:(((environment(X2)&subpopulations(first_movers,efficient_producers,X2,X5))=>((decreases(resources(X2,X5))=>increases(difference(disbanding_rate(first_movers,X5),disbanding_rate(efficient_producers,X5))))&(constant(resources(X2,X5))=>~(decreases(difference(disbanding_rate(first_movers,X5),disbanding_rate(efficient_producers,X5)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_l4)).
% 0.25/0.52 fof(mp_constant_not_decrease, axiom, ![X1]:((constant(X1)=>~(decreases(X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_constant_not_decrease)).
% 0.25/0.52 fof(a2, hypothesis, greater(resilience(efficient_producers),resilience(first_movers)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a2)).
% 0.25/0.52 fof(c_0_4, hypothesis, ![X9, X10, X11, X12]:(((~decreases(resources(X9,X12))|increases(difference(disbanding_rate(X10,X12),disbanding_rate(X11,X12)))|(~environment(X9)|~subpopulations(X10,X11,X9,X12)|~greater(resilience(X11),resilience(X10))))&(~constant(resources(X9,X12))|constant(difference(disbanding_rate(X10,X12),disbanding_rate(X11,X12)))|(~environment(X9)|~subpopulations(X10,X11,X9,X12)|~greater(resilience(X11),resilience(X10)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a5])])])])).
% 0.25/0.52 fof(c_0_5, negated_conjecture, ~(![X2, X5]:(((environment(X2)&subpopulations(first_movers,efficient_producers,X2,X5))=>((decreases(resources(X2,X5))=>increases(difference(disbanding_rate(first_movers,X5),disbanding_rate(efficient_producers,X5))))&(constant(resources(X2,X5))=>~decreases(difference(disbanding_rate(first_movers,X5),disbanding_rate(efficient_producers,X5)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_l4])])).
% 0.25/0.52 fof(c_0_6, plain, ![X1]:((constant(X1)=>~decreases(X1))), inference(fof_simplification,[status(thm)],[mp_constant_not_decrease])).
% 0.25/0.52 cnf(c_0_7, hypothesis, (constant(difference(disbanding_rate(X3,X2),disbanding_rate(X4,X2)))|~constant(resources(X1,X2))|~environment(X1)|~subpopulations(X3,X4,X1,X2)|~greater(resilience(X4),resilience(X3))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.25/0.52 cnf(c_0_8, hypothesis, (greater(resilience(efficient_producers),resilience(first_movers))), inference(split_conjunct,[status(thm)],[a2])).
% 0.25/0.52 fof(c_0_9, negated_conjecture, ((environment(esk1_0)&subpopulations(first_movers,efficient_producers,esk1_0,esk2_0))&(((constant(resources(esk1_0,esk2_0))|decreases(resources(esk1_0,esk2_0)))&(decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))|decreases(resources(esk1_0,esk2_0))))&((constant(resources(esk1_0,esk2_0))|~increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))))&(decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))|~increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])).
% 0.25/0.52 fof(c_0_10, plain, ![X8]:((~constant(X8)|~decreases(X8))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
% 0.25/0.52 cnf(c_0_11, hypothesis, (constant(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2)|~constant(resources(X2,X1))), inference(spm,[status(thm)],[c_0_7, c_0_8])).
% 0.25/0.52 cnf(c_0_12, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.25/0.52 cnf(c_0_13, negated_conjecture, (environment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.25/0.52 cnf(c_0_14, plain, (~constant(X1)|~decreases(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.25/0.52 cnf(c_0_15, negated_conjecture, (constant(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))|~constant(resources(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])])).
% 0.25/0.52 cnf(c_0_16, hypothesis, (increases(difference(disbanding_rate(X3,X2),disbanding_rate(X4,X2)))|~decreases(resources(X1,X2))|~environment(X1)|~subpopulations(X3,X4,X1,X2)|~greater(resilience(X4),resilience(X3))), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.25/0.52 cnf(c_0_17, negated_conjecture, (~decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))|~constant(resources(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.25/0.52 cnf(c_0_18, negated_conjecture, (decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))|decreases(resources(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.25/0.52 cnf(c_0_19, negated_conjecture, (constant(resources(esk1_0,esk2_0))|decreases(resources(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.25/0.52 cnf(c_0_20, hypothesis, (increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2)|~decreases(resources(X2,X1))), inference(spm,[status(thm)],[c_0_16, c_0_8])).
% 0.25/0.52 cnf(c_0_21, negated_conjecture, (decreases(resources(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])).
% 0.25/0.52 cnf(c_0_22, negated_conjecture, (constant(resources(esk1_0,esk2_0))|~increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.25/0.52 cnf(c_0_23, negated_conjecture, (increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_12]), c_0_13])]), c_0_21])])).
% 0.25/0.52 cnf(c_0_24, negated_conjecture, (constant(resources(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 0.25/0.52 cnf(c_0_25, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_24]), c_0_21])]), ['proof']).
% 0.25/0.52 % SZS output end Proof
% 0.25/0.52 % User time : 0.003 s
% 0.25/0.52 % System time : 0.003 s
% 0.25/0.52 % Total time : 0.006 s
% 0.25/0.52 % User time : 0.005 s
% 0.25/0.52 % System time : 0.006 s
% 0.25/0.52 % Total time : 0.011 s
% 0.25/0.52
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