%------------------------------------------------------------------------------
% File : CSI_E---1.1
% Problem : MGT020+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 0.24s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT020+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : java -jar mcs_scs.jar %d %s
% 0.09/0.34 % Computer : n008.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 7 12:01:38 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.24/0.46 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(mp_positive_function_difference, axiom, ![X1, X2, X3, X4]:((((((environment(X1)&greater_or_equal(X2,X3))&greater_or_equal(X4,X2))&subpopulations(first_movers,efficient_producers,X1,X4))&greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))=>(~(decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))))=>greater(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_positive_function_difference)).
% 0.24/0.54 fof(mp_times_in_order, axiom, ![X1, X3, X4]:(((((environment(X1)&greater_or_equal(X3,start_time(X1)))&greater(X4,X3))&in_environment(X1,X4))=>in_environment(X1,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_times_in_order)).
% 0.24/0.54 fof(mp_initial_time, axiom, ![X1]:((environment(X1)=>greater_or_equal(initial_FM_EP(X1),start_time(X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_initial_time)).
% 0.24/0.54 fof(mp_greater_or_equal, axiom, ![X5, X6]:((greater_or_equal(X5,X6)=>(greater(X5,X6)|X5=X6))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_greater_or_equal)).
% 0.24/0.54 fof(mp_earliest_time_point, axiom, ![X1, X2]:((environment(X1)=>((in_environment(X1,initial_FM_EP(X1))=>subpopulations(first_movers,efficient_producers,X1,initial_FM_EP(X1)))&(subpopulations(first_movers,efficient_producers,X1,X2)=>greater_or_equal(X2,initial_FM_EP(X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_earliest_time_point)).
% 0.24/0.54 fof(a8, hypothesis, ![X1]:((environment(X1)=>greater(disbanding_rate(first_movers,initial_FM_EP(X1)),disbanding_rate(efficient_producers,initial_FM_EP(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a8)).
% 0.24/0.54 fof(prove_l2, conjecture, ![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_l2)).
% 0.24/0.54 fof(mp_time_point_occurs, 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_occurs)).
% 0.24/0.54 fof(l3, axiom, ![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', l3)).
% 0.24/0.54 fof(c_0_9, plain, ![X1, X2, X3, X4]:((((((environment(X1)&greater_or_equal(X2,X3))&greater_or_equal(X4,X2))&subpopulations(first_movers,efficient_producers,X1,X4))&greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))=>(~decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))=>greater(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))))), inference(fof_simplification,[status(thm)],[mp_positive_function_difference])).
% 0.24/0.54 fof(c_0_10, plain, ![X14, X15, X16]:((~environment(X14)|~greater_or_equal(X15,start_time(X14))|~greater(X16,X15)|~in_environment(X14,X16)|in_environment(X14,X15))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_times_in_order])])])).
% 0.24/0.54 fof(c_0_11, plain, ![X33]:((~environment(X33)|greater_or_equal(initial_FM_EP(X33),start_time(X33)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_initial_time])])])).
% 0.24/0.54 fof(c_0_12, plain, ![X20, X21]:((~greater_or_equal(X20,X21)|(greater(X20,X21)|X20=X21))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])])).
% 0.24/0.54 fof(c_0_13, plain, ![X25, X26]:(((~in_environment(X25,initial_FM_EP(X25))|subpopulations(first_movers,efficient_producers,X25,initial_FM_EP(X25))|~environment(X25))&(~subpopulations(first_movers,efficient_producers,X25,X26)|greater_or_equal(X26,initial_FM_EP(X25))|~environment(X25)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_earliest_time_point])])])])).
% 0.24/0.54 fof(c_0_14, plain, ![X10, X11, X12, X13]:((~environment(X10)|~greater_or_equal(X11,X12)|~greater_or_equal(X13,X11)|~subpopulations(first_movers,efficient_producers,X10,X13)|~greater(disbanding_rate(first_movers,X12),disbanding_rate(efficient_producers,X12))|(decreases(difference(disbanding_rate(first_movers,X11),disbanding_rate(efficient_producers,X11)))|greater(disbanding_rate(first_movers,X13),disbanding_rate(efficient_producers,X13))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
% 0.24/0.54 fof(c_0_15, hypothesis, ![X22]:((~environment(X22)|greater(disbanding_rate(first_movers,initial_FM_EP(X22)),disbanding_rate(efficient_producers,initial_FM_EP(X22))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a8])])])).
% 0.24/0.54 fof(c_0_16, negated_conjecture, ~(![X1, X2]:(((environment(X1)&subpopulations(first_movers,efficient_producers,X1,X2))=>greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))))), inference(assume_negation,[status(cth)],[prove_l2])).
% 0.24/0.54 cnf(c_0_17, plain, (in_environment(X1,X2)|~environment(X1)|~greater_or_equal(X2,start_time(X1))|~greater(X3,X2)|~in_environment(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 0.24/0.54 cnf(c_0_18, plain, (greater_or_equal(initial_FM_EP(X1),start_time(X1))|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.24/0.54 cnf(c_0_19, plain, (greater(X1,X2)|X1=X2|~greater_or_equal(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.24/0.54 cnf(c_0_20, plain, (greater_or_equal(X2,initial_FM_EP(X1))|~subpopulations(first_movers,efficient_producers,X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.54 fof(c_0_21, plain, ![X27, X28]:((~environment(X27)|~subpopulations(first_movers,efficient_producers,X27,X28)|in_environment(X27,X28))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_occurs])])])).
% 0.24/0.54 cnf(c_0_22, plain, (decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))|greater(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))|~environment(X1)|~greater_or_equal(X2,X3)|~greater_or_equal(X4,X2)|~subpopulations(first_movers,efficient_producers,X1,X4)|~greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))), inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.24/0.54 cnf(c_0_23, hypothesis, (greater(disbanding_rate(first_movers,initial_FM_EP(X1)),disbanding_rate(efficient_producers,initial_FM_EP(X1)))|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 0.24/0.54 fof(c_0_24, negated_conjecture, ((environment(esk1_0)&subpopulations(first_movers,efficient_producers,esk1_0,esk2_0))&~greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])).
% 0.24/0.54 fof(c_0_25, plain, ![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)],[l3])).
% 0.24/0.54 cnf(c_0_26, plain, (in_environment(X1,initial_FM_EP(X1))|~greater(X2,initial_FM_EP(X1))|~in_environment(X1,X2)|~environment(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.24/0.54 cnf(c_0_27, plain, (X1=initial_FM_EP(X2)|greater(X1,initial_FM_EP(X2))|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.24/0.54 cnf(c_0_28, plain, (in_environment(X1,X2)|~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
% 0.24/0.54 cnf(c_0_29, hypothesis, (greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))|decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))|~greater_or_equal(X2,initial_FM_EP(X3))|~greater_or_equal(X1,X2)|~subpopulations(first_movers,efficient_producers,X4,X1)|~environment(X4)|~environment(X3)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.24/0.54 cnf(c_0_30, negated_conjecture, (subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 0.24/0.54 cnf(c_0_31, negated_conjecture, (environment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 0.24/0.54 cnf(c_0_32, negated_conjecture, (~greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_24])).
% 0.24/0.54 fof(c_0_33, plain, ![X23, X24]:((~environment(X23)|~subpopulations(first_movers,efficient_producers,X23,X24)|~decreases(difference(disbanding_rate(first_movers,X24),disbanding_rate(efficient_producers,X24))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
% 0.24/0.54 cnf(c_0_34, plain, (X1=initial_FM_EP(X2)|in_environment(X2,initial_FM_EP(X2))|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])).
% 0.24/0.54 cnf(c_0_35, negated_conjecture, (decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))|~greater_or_equal(X1,initial_FM_EP(X2))|~greater_or_equal(esk2_0,X1)|~environment(X2)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])]), c_0_32])).
% 0.24/0.54 cnf(c_0_36, plain, (~environment(X1)|~subpopulations(first_movers,efficient_producers,X1,X2)|~decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 0.24/0.54 cnf(c_0_37, plain, (subpopulations(first_movers,efficient_producers,X1,initial_FM_EP(X1))|~in_environment(X1,initial_FM_EP(X1))|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.24/0.54 cnf(c_0_38, negated_conjecture, (initial_FM_EP(esk1_0)=esk2_0|in_environment(esk1_0,initial_FM_EP(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_30]), c_0_31])])).
% 0.24/0.54 cnf(c_0_39, negated_conjecture, (~greater_or_equal(esk2_0,X1)|~subpopulations(first_movers,efficient_producers,X2,X1)|~environment(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_20]), c_0_36])).
% 0.24/0.54 cnf(c_0_40, negated_conjecture, (initial_FM_EP(esk1_0)=esk2_0|subpopulations(first_movers,efficient_producers,esk1_0,initial_FM_EP(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_31])])).
% 0.24/0.54 cnf(c_0_41, negated_conjecture, (initial_FM_EP(esk1_0)=esk2_0|~greater_or_equal(esk2_0,initial_FM_EP(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_31])])).
% 0.24/0.54 cnf(c_0_42, negated_conjecture, (initial_FM_EP(esk1_0)=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_20]), c_0_30]), c_0_31])])).
% 0.24/0.54 cnf(c_0_43, hypothesis, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_42]), c_0_31])]), c_0_32]), ['proof']).
% 0.24/0.54 % SZS output end Proof
% 0.24/0.54 % User time : 0.012 s
% 0.24/0.54 % System time : 0.001 s
% 0.24/0.54 % Total time : 0.013 s
% 0.24/0.54 % User time : 0.014 s
% 0.24/0.54 % System time : 0.004 s
% 0.24/0.54 % Total time : 0.018 s
% 0.24/0.54
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