TSTP Solution File: MGT020+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:16:47 EDT 2022
% Result : Theorem 29.36s 29.30s
% Output : Proof 29.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 12:32:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.36/29.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.36/29.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.36/29.31
% 29.36/29.31 %-----------------------------------------------------
% 29.36/29.31 fof(mp_earliest_time_point, axiom, ! [_40248, _40251] : (environment(_40248) => (in_environment(_40248, initial_FM_EP(_40248)) => subpopulations(first_movers, efficient_producers, _40248, initial_FM_EP(_40248))) & (subpopulations(first_movers, efficient_producers, _40248, _40251) => greater_or_equal(_40251, initial_FM_EP(_40248)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_earliest_time_point)).
% 29.36/29.31 fof(prove_l2, conjecture, ! [_40537, _40540] : (environment(_40537) & subpopulations(first_movers, efficient_producers, _40537, _40540) => greater(disbanding_rate(first_movers, _40540), disbanding_rate(efficient_producers, _40540))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_l2)).
% 29.36/29.31 fof(l3, axiom, ! [_40774, _40777] : (environment(_40774) & subpopulations(first_movers, efficient_producers, _40774, _40777) => ~ decreases(difference(disbanding_rate(first_movers, _40777), disbanding_rate(efficient_producers, _40777)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3)).
% 29.36/29.31 fof(mp_positive_function_difference, axiom, ! [_41014, _41017, _41020, _41023] : (environment(_41014) & greater_or_equal(_41017, _41020) & greater_or_equal(_41023, _41017) & subpopulations(first_movers, efficient_producers, _41014, _41023) & greater(disbanding_rate(first_movers, _41020), disbanding_rate(efficient_producers, _41020)) => ~ decreases(difference(disbanding_rate(first_movers, _41017), disbanding_rate(efficient_producers, _41017))) => greater(disbanding_rate(first_movers, _41023), disbanding_rate(efficient_producers, _41023))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_positive_function_difference)).
% 29.36/29.31 fof(mp_time_point_occurs, axiom, ! [_41441, _41444] : (environment(_41441) & subpopulations(first_movers, efficient_producers, _41441, _41444) => in_environment(_41441, _41444)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_time_point_occurs)).
% 29.36/29.31 fof(mp_initial_time, axiom, ! [_41622] : (environment(_41622) => greater_or_equal(initial_FM_EP(_41622), start_time(_41622))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_initial_time)).
% 29.36/29.31 fof(mp_times_in_order, axiom, ! [_41768, _41771, _41774] : (environment(_41768) & greater_or_equal(_41771, start_time(_41768)) & greater(_41774, _41771) & in_environment(_41768, _41774) => in_environment(_41768, _41771)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_times_in_order)).
% 29.36/29.31 fof(mp_greater_or_equal, axiom, ! [_42012, _42015] : (greater_or_equal(_42012, _42015) => greater(_42012, _42015) | _42012 = _42015), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_greater_or_equal)).
% 29.36/29.31 fof(a8, hypothesis, ! [_42182] : (environment(_42182) => greater(disbanding_rate(first_movers, initial_FM_EP(_42182)), disbanding_rate(efficient_producers, initial_FM_EP(_42182)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a8)).
% 29.36/29.31
% 29.36/29.31 cnf(1, plain, [-(1 ^ [_16725, _16653]), subpopulations(first_movers, efficient_producers, _16653, _16725), -(greater_or_equal(_16725, initial_FM_EP(_16653)))], clausify(mp_earliest_time_point)).
% 29.36/29.31 cnf(2, plain, [-(1 ^ [_16725, _16653]), in_environment(_16653, initial_FM_EP(_16653)), -(subpopulations(first_movers, efficient_producers, _16653, initial_FM_EP(_16653)))], clausify(mp_earliest_time_point)).
% 29.36/29.31 cnf(3, plain, [-(environment(2 ^ []))], clausify(prove_l2)).
% 29.36/29.31 cnf(4, plain, [-(subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []))], clausify(prove_l2)).
% 29.36/29.31 cnf(5, plain, [greater(disbanding_rate(first_movers, 3 ^ []), disbanding_rate(efficient_producers, 3 ^ []))], clausify(prove_l2)).
% 29.36/29.31 cnf(6, plain, [decreases(difference(disbanding_rate(first_movers, _16132), disbanding_rate(efficient_producers, _16132))), environment(_16070), subpopulations(first_movers, efficient_producers, _16070, _16132)], clausify(l3)).
% 29.36/29.31 cnf(7, plain, [environment(_16653), 1 ^ [_16725, _16653]], clausify(mp_earliest_time_point)).
% 29.36/29.31 cnf(8, plain, [-(greater(disbanding_rate(first_movers, _17747), disbanding_rate(efficient_producers, _17747))), -(decreases(difference(disbanding_rate(first_movers, _17534), disbanding_rate(efficient_producers, _17534)))), environment(_17426), greater_or_equal(_17534, _17641), greater_or_equal(_17747, _17534), subpopulations(first_movers, efficient_producers, _17426, _17747), greater(disbanding_rate(first_movers, _17641), disbanding_rate(efficient_producers, _17641))], clausify(mp_positive_function_difference)).
% 29.36/29.31 cnf(9, plain, [-(in_environment(_18770, _18822)), environment(_18770), subpopulations(first_movers, efficient_producers, _18770, _18822)], clausify(mp_time_point_occurs)).
% 29.36/29.31 cnf(10, plain, [environment(_19227), -(greater_or_equal(initial_FM_EP(_19227), start_time(_19227)))], clausify(mp_initial_time)).
% 29.36/29.31 cnf(11, plain, [-(in_environment(_19495, _19564)), environment(_19495), greater_or_equal(_19564, start_time(_19495)), greater(_19632, _19564), in_environment(_19495, _19632)], clausify(mp_times_in_order)).
% 29.36/29.31 cnf(12, plain, [greater_or_equal(_20611, _20662), -(greater(_20611, _20662)), -(_20611 = _20662)], clausify(mp_greater_or_equal)).
% 29.36/29.31 cnf(13, plain, [environment(_21007), -(greater(disbanding_rate(first_movers, initial_FM_EP(_21007)), disbanding_rate(efficient_producers, initial_FM_EP(_21007))))], clausify(a8)).
% 29.36/29.31 cnf(14, plain, [-(_9081 = _9081)], theory(equality)).
% 29.36/29.31 cnf(15, plain, [-(subpopulations(_12612, _12815, _13014, _13209)), subpopulations(_12509, _12714, _12915, _13112), _12509 = _12612, _12714 = _12815, _12915 = _13014, _13112 = _13209], theory(equality)).
% 29.36/29.31
% 29.36/29.31 cnf('1',plain,[-(subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []))],start(4)).
% 29.36/29.31 cnf('1.1',plain,[subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []), -(subpopulations(first_movers, efficient_producers, 2 ^ [], initial_FM_EP(2 ^ []))), first_movers = first_movers, efficient_producers = efficient_producers, 2 ^ [] = 2 ^ [], 3 ^ [] = initial_FM_EP(2 ^ [])],extension(15,bind([[_12509, _12612, _12714, _12815, _12915, _13014, _13112, _13209], [first_movers, first_movers, efficient_producers, efficient_producers, 2 ^ [], 2 ^ [], 3 ^ [], initial_FM_EP(2 ^ [])]]))).
% 29.36/29.31 cnf('1.1.1',plain,[subpopulations(first_movers, efficient_producers, 2 ^ [], initial_FM_EP(2 ^ [])), -(1 ^ [initial_FM_EP(2 ^ []), 2 ^ []]), -(greater_or_equal(initial_FM_EP(2 ^ []), initial_FM_EP(2 ^ [])))],extension(1,bind([[_16725, _16653], [initial_FM_EP(2 ^ []), 2 ^ []]]))).
% 29.36/29.31 cnf('1.1.1.1',plain,[1 ^ [initial_FM_EP(2 ^ []), 2 ^ []], environment(2 ^ [])],extension(7,bind([[_16725, _16653], [initial_FM_EP(2 ^ []), 2 ^ []]]))).
% 29.36/29.31 cnf('1.1.1.1.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.1.2',plain,[greater_or_equal(initial_FM_EP(2 ^ []), initial_FM_EP(2 ^ [])), -(greater(disbanding_rate(first_movers, 3 ^ []), disbanding_rate(efficient_producers, 3 ^ []))), -(decreases(difference(disbanding_rate(first_movers, initial_FM_EP(2 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(2 ^ []))))), environment(2 ^ []), greater_or_equal(3 ^ [], initial_FM_EP(2 ^ [])), subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []), greater(disbanding_rate(first_movers, initial_FM_EP(2 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(2 ^ [])))],extension(8,bind([[_17534, _17426, _17747, _17641], [initial_FM_EP(2 ^ []), 2 ^ [], 3 ^ [], initial_FM_EP(2 ^ [])]]))).
% 29.36/29.31 cnf('1.1.1.2.1',plain,[greater(disbanding_rate(first_movers, 3 ^ []), disbanding_rate(efficient_producers, 3 ^ []))],extension(5)).
% 29.36/29.31 cnf('1.1.1.2.2',plain,[decreases(difference(disbanding_rate(first_movers, initial_FM_EP(2 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(2 ^ [])))), environment(2 ^ []), subpopulations(first_movers, efficient_producers, 2 ^ [], initial_FM_EP(2 ^ []))],extension(6,bind([[_16070, _16132], [2 ^ [], initial_FM_EP(2 ^ [])]]))).
% 29.36/29.31 cnf('1.1.1.2.2.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.1.2.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 2 ^ [], initial_FM_EP(2 ^ [])))],reduction('1.1')).
% 29.36/29.31 cnf('1.1.1.2.3',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.1.2.4',plain,[-(greater_or_equal(3 ^ [], initial_FM_EP(2 ^ []))), -(1 ^ [3 ^ [], 2 ^ []]), subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ [])],extension(1,bind([[_16653, _16725], [2 ^ [], 3 ^ []]]))).
% 29.36/29.31 cnf('1.1.1.2.4.1',plain,[1 ^ [3 ^ [], 2 ^ []], environment(2 ^ [])],extension(7,bind([[_16725, _16653], [3 ^ [], 2 ^ []]]))).
% 29.36/29.31 cnf('1.1.1.2.4.1.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.1.2.4.2',plain,[-(subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []))],extension(4)).
% 29.36/29.31 cnf('1.1.1.2.5',plain,[-(subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []))],extension(4)).
% 29.36/29.31 cnf('1.1.1.2.6',plain,[-(greater(disbanding_rate(first_movers, initial_FM_EP(2 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(2 ^ [])))), environment(2 ^ [])],extension(13,bind([[_21007], [2 ^ []]]))).
% 29.36/29.31 cnf('1.1.1.2.6.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.2',plain,[-(first_movers = first_movers)],extension(14,bind([[_9081], [first_movers]]))).
% 29.36/29.31 cnf('1.1.3',plain,[-(efficient_producers = efficient_producers)],extension(14,bind([[_9081], [efficient_producers]]))).
% 29.36/29.31 cnf('1.1.4',plain,[-(2 ^ [] = 2 ^ [])],extension(14,bind([[_9081], [2 ^ []]]))).
% 29.36/29.31 cnf('1.1.5',plain,[-(3 ^ [] = initial_FM_EP(2 ^ [])), greater_or_equal(3 ^ [], initial_FM_EP(2 ^ [])), -(greater(3 ^ [], initial_FM_EP(2 ^ [])))],extension(12,bind([[_20611, _20662], [3 ^ [], initial_FM_EP(2 ^ [])]]))).
% 29.36/29.31 cnf('1.1.5.1',plain,[-(greater_or_equal(3 ^ [], initial_FM_EP(2 ^ []))), -(1 ^ [3 ^ [], 2 ^ []]), subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ [])],extension(1,bind([[_16653, _16725], [2 ^ [], 3 ^ []]]))).
% 29.36/29.31 cnf('1.1.5.1.1',plain,[1 ^ [3 ^ [], 2 ^ []], environment(2 ^ [])],extension(7,bind([[_16725, _16653], [3 ^ [], 2 ^ []]]))).
% 29.36/29.31 cnf('1.1.5.1.1.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.5.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []))],extension(4)).
% 29.36/29.31 cnf('1.1.5.2',plain,[greater(3 ^ [], initial_FM_EP(2 ^ [])), -(in_environment(2 ^ [], initial_FM_EP(2 ^ []))), environment(2 ^ []), greater_or_equal(initial_FM_EP(2 ^ []), start_time(2 ^ [])), in_environment(2 ^ [], 3 ^ [])],extension(11,bind([[_19564, _19495, _19632], [initial_FM_EP(2 ^ []), 2 ^ [], 3 ^ []]]))).
% 29.36/29.31 cnf('1.1.5.2.1',plain,[in_environment(2 ^ [], initial_FM_EP(2 ^ [])), -(1 ^ [_28808, 2 ^ []]), -(subpopulations(first_movers, efficient_producers, 2 ^ [], initial_FM_EP(2 ^ [])))],extension(2,bind([[_16725, _16653], [_28808, 2 ^ []]]))).
% 29.36/29.31 cnf('1.1.5.2.1.1',plain,[1 ^ [_28808, 2 ^ []], environment(2 ^ [])],extension(7,bind([[_16725, _16653], [_28808, 2 ^ []]]))).
% 29.36/29.31 cnf('1.1.5.2.1.1.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.5.2.1.2',plain,[subpopulations(first_movers, efficient_producers, 2 ^ [], initial_FM_EP(2 ^ []))],lemmata('1.1')).
% 29.36/29.31 cnf('1.1.5.2.2',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.5.2.3',plain,[-(greater_or_equal(initial_FM_EP(2 ^ []), start_time(2 ^ []))), environment(2 ^ [])],extension(10,bind([[_19227], [2 ^ []]]))).
% 29.36/29.31 cnf('1.1.5.2.3.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.5.2.4',plain,[-(in_environment(2 ^ [], 3 ^ [])), environment(2 ^ []), subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ [])],extension(9,bind([[_18770, _18822], [2 ^ [], 3 ^ []]]))).
% 29.36/29.31 cnf('1.1.5.2.4.1',plain,[-(environment(2 ^ []))],extension(3)).
% 29.36/29.31 cnf('1.1.5.2.4.2',plain,[-(subpopulations(first_movers, efficient_producers, 2 ^ [], 3 ^ []))],extension(4)).
% 29.36/29.31 %-----------------------------------------------------
% 29.36/29.31
% 29.36/29.31 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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