%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT021+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar mcs_scs.jar %d %s
% Computer : n008.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 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT021+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 12:03:38 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.25/0.47 start to proof:theBenchmark.p
% 0.25/0.54 % Version : CSI_E---1.1
% 0.25/0.54 % Problem : theBenchmark.p
% 0.25/0.54 % Proof found!
% 0.25/0.54 % SZS status Theorem for theBenchmark.p
% 0.25/0.54 % SZS output start Proof
% 0.25/0.54 fof(a3, hypothesis, ![X1, X2]:((((environment(X1)&in_environment(X1,X2))&greater(number_of_organizations(X1,X2),zero))=>((greater(equilibrium(X1),X2)=>decreases(resources(X1,X2)))&(~(greater(equilibrium(X1),X2))=>constant(resources(X1,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a3)).
% 0.25/0.54 fof(l4, hypothesis, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>((decreases(resources(X1,X2))=>increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))))&(constant(resources(X1,X2))=>~(decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l4)).
% 0.25/0.54 fof(prove_l3, conjecture, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>~(decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_l3)).
% 0.25/0.54 fof(mp_environment_not_empty, axiom, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>greater(number_of_organizations(X1,X2),zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_environment_not_empty)).
% 0.25/0.54 fof(mp_time_point_in_environment, axiom, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>in_environment(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_time_point_in_environment)).
% 0.25/0.54 fof(mp_increase_not_decrease, axiom, ![X3]:((increases(X3)=>~(decreases(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_increase_not_decrease)).
% 0.25/0.54 fof(c_0_6, hypothesis, ![X1, X2]:((((environment(X1)&in_environment(X1,X2))&greater(number_of_organizations(X1,X2),zero))=>((greater(equilibrium(X1),X2)=>decreases(resources(X1,X2)))&(~greater(equilibrium(X1),X2)=>constant(resources(X1,X2)))))), inference(fof_simplification,[status(thm)],[a3])).
% 0.25/0.54 fof(c_0_7, hypothesis, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>((decreases(resources(X1,X2))=>increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))))&(constant(resources(X1,X2))=>~decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))))))), inference(fof_simplification,[status(thm)],[l4])).
% 0.25/0.54 fof(c_0_8, negated_conjecture, ~(![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>~decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_l3])])).
% 0.25/0.54 fof(c_0_9, hypothesis, ![X5, X6]:(((~greater(equilibrium(X5),X6)|decreases(resources(X5,X6))|(~environment(X5)|~in_environment(X5,X6)|~greater(number_of_organizations(X5,X6),zero)))&(greater(equilibrium(X5),X6)|constant(resources(X5,X6))|(~environment(X5)|~in_environment(X5,X6)|~greater(number_of_organizations(X5,X6),zero))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])).
% 0.25/0.54 fof(c_0_10, plain, ![X11, X12]:((~environment(X11)|~subpopulations(first_movers,efficient_producers,X11,X12)|greater(number_of_organizations(X11,X12),zero))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_not_empty])])])).
% 0.25/0.54 fof(c_0_11, plain, ![X13, X14]:((~environment(X13)|~subpopulations(first_movers,efficient_producers,X13,X14)|in_environment(X13,X14))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_in_environment])])])).
% 0.25/0.54 fof(c_0_12, hypothesis, ![X7, X8]:(((~decreases(resources(X7,X8))|increases(difference(disbanding_rate(first_movers,X8),disbanding_rate(efficient_producers,X8)))|(~environment(X7)|~subpopulations(first_movers,efficient_producers,X7,X8)))&(~constant(resources(X7,X8))|~decreases(difference(disbanding_rate(first_movers,X8),disbanding_rate(efficient_producers,X8)))|(~environment(X7)|~subpopulations(first_movers,efficient_producers,X7,X8))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])).
% 0.25/0.54 fof(c_0_13, negated_conjecture, ((environment(esk1_0)&subpopulations(first_movers,efficient_producers,esk1_0,esk2_0))&decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
% 0.25/0.54 cnf(c_0_14, hypothesis, (greater(equilibrium(X1),X2)|constant(resources(X1,X2))|~environment(X1)|~in_environment(X1,X2)|~greater(number_of_organizations(X1,X2),zero)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.25/0.54 cnf(c_0_15, plain, (greater(number_of_organizations(X1,X2),zero)|~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.25/0.54 cnf(c_0_16, plain, (in_environment(X1,X2)|~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.25/0.54 fof(c_0_17, plain, ![X3]:((increases(X3)=>~decreases(X3))), inference(fof_simplification,[status(thm)],[mp_increase_not_decrease])).
% 0.25/0.54 cnf(c_0_18, hypothesis, (~constant(resources(X1,X2))|~decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))|~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.25/0.54 cnf(c_0_19, negated_conjecture, (decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.25/0.54 cnf(c_0_20, hypothesis, (constant(resources(X1,X2))|greater(equilibrium(X1),X2)|~subpopulations(first_movers,efficient_producers,X1,X2)|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])).
% 0.25/0.54 cnf(c_0_21, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.25/0.54 cnf(c_0_22, negated_conjecture, (environment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.25/0.54 fof(c_0_23, plain, ![X15]:((~increases(X15)|~decreases(X15))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
% 0.25/0.54 cnf(c_0_24, hypothesis, (increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))|~decreases(resources(X1,X2))|~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.25/0.54 cnf(c_0_25, hypothesis, (decreases(resources(X1,X2))|~greater(equilibrium(X1),X2)|~environment(X1)|~in_environment(X1,X2)|~greater(number_of_organizations(X1,X2),zero)), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.25/0.54 cnf(c_0_26, negated_conjecture, (~constant(resources(X1,esk2_0))|~subpopulations(first_movers,efficient_producers,X1,esk2_0)|~environment(X1)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
% 0.25/0.54 cnf(c_0_27, negated_conjecture, (constant(resources(esk1_0,esk2_0))|greater(equilibrium(esk1_0),esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])])).
% 0.25/0.54 cnf(c_0_28, plain, (~increases(X1)|~decreases(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
% 0.25/0.54 cnf(c_0_29, negated_conjecture, (increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))|~decreases(resources(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_21]), c_0_22])])).
% 0.25/0.54 cnf(c_0_30, hypothesis, (decreases(resources(X1,X2))|~greater(equilibrium(X1),X2)|~subpopulations(first_movers,efficient_producers,X1,X2)|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_15]), c_0_16])).
% 0.25/0.54 cnf(c_0_31, negated_conjecture, (greater(equilibrium(esk1_0),esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_21]), c_0_22])])).
% 0.25/0.54 cnf(c_0_32, negated_conjecture, (~decreases(resources(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_19])])).
% 0.25/0.54 cnf(c_0_33, hypothesis, ($false), 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_31]), c_0_21]), c_0_22])]), c_0_32]), ['proof']).
% 0.25/0.54 % SZS output end Proof
% 0.25/0.54 % User time : 0.007 s
% 0.25/0.54 % System time : 0.000 s
% 0.25/0.54 % Total time : 0.007 s
% 0.25/0.54 % User time : 0.008 s
% 0.25/0.54 % System time : 0.004 s
% 0.25/0.54 % Total time : 0.012 s
% 0.25/0.54
%------------------------------------------------------------------------------