TSTP Solution File: MGT036+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MGT036+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 22:16:52 EDT 2022
% Result : Theorem 0.34s 1.42s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT036+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 09:41:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.43
% 0.34/1.43 %-----------------------------------------------------
% 0.34/1.43 fof(prove_t5, conjecture, ! [_22558, _22561] : (environment(_22558) & subpopulations(first_movers, efficient_producers, _22558, _22561) => ~ outcompetes(first_movers, efficient_producers, _22561)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_t5)).
% 0.34/1.43 fof(mp_symmetry_of_FM_and_EP, axiom, ! [_22775, _22778] : (environment(_22775) & subpopulations(first_movers, efficient_producers, _22775, _22778) => subpopulations(efficient_producers, first_movers, _22775, _22778)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_symmetry_of_FM_and_EP)).
% 0.34/1.43 fof(mp_time_point_occur, axiom, ! [_22970, _22973] : (environment(_22970) & subpopulations(first_movers, efficient_producers, _22970, _22973) => in_environment(_22970, _22973)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_time_point_occur)).
% 0.34/1.43 fof(mp_growth_rate_relationships, axiom, ! [_23151, _23154, _23157, _23160] : (environment(_23151) & subpopulations(_23154, _23157, _23151, _23160) => greater_or_equal(growth_rate(_23154, _23160), zero) <=> ~ greater(zero, growth_rate(_23154, _23160))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_growth_rate_relationships)).
% 0.34/1.43 fof(a2, hypothesis, greater(resilience(efficient_producers), resilience(first_movers)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a2)).
% 0.34/1.43 fof(a12, hypothesis, ! [_23504, _23507, _23510, _23513] : (environment(_23504) & in_environment(_23504, _23513) & ~ greater(zero, growth_rate(_23507, _23513)) & greater(resilience(_23510), resilience(_23507)) => ~ greater(zero, growth_rate(_23510, _23513))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a12)).
% 0.34/1.43 fof(d2, hypothesis, ! [_23813, _23816, _23819, _23822] : (environment(_23813) & subpopulations(_23816, _23819, _23813, _23822) => (greater_or_equal(growth_rate(_23819, _23822), zero) & greater(zero, growth_rate(_23816, _23822)) <=> outcompetes(_23819, _23816, _23822))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2)).
% 0.34/1.43
% 0.34/1.43 cnf(1, plain, [-(environment(1 ^ []))], clausify(prove_t5)).
% 0.34/1.43 cnf(2, plain, [-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))], clausify(prove_t5)).
% 0.34/1.43 cnf(3, plain, [-(outcompetes(first_movers, efficient_producers, 2 ^ []))], clausify(prove_t5)).
% 0.34/1.43 cnf(4, plain, [-(subpopulations(efficient_producers, first_movers, _4556, _4610)), environment(_4556), subpopulations(first_movers, efficient_producers, _4556, _4610)], clausify(mp_symmetry_of_FM_and_EP)).
% 0.34/1.43 cnf(5, plain, [-(in_environment(_5097, _5149)), environment(_5097), subpopulations(first_movers, efficient_producers, _5097, _5149)], clausify(mp_time_point_occur)).
% 0.34/1.43 cnf(6, plain, [-(environment(_5554)), greater(zero, growth_rate(_5630, _5779))], clausify(mp_growth_rate_relationships)).
% 0.34/1.43 cnf(7, plain, [greater_or_equal(growth_rate(_5630, _5779), zero), greater(zero, growth_rate(_5630, _5779))], clausify(mp_growth_rate_relationships)).
% 0.34/1.43 cnf(8, plain, [-(greater(zero, growth_rate(_5630, _5779))), -(greater_or_equal(growth_rate(_5630, _5779), zero)), environment(_5554), subpopulations(_5630, _5705, _5554, _5779)], clausify(mp_growth_rate_relationships)).
% 0.34/1.43 cnf(9, plain, [-(greater(resilience(efficient_producers), resilience(first_movers)))], clausify(a2)).
% 0.34/1.43 cnf(10, plain, [greater(zero, growth_rate(_7503, _7587)), environment(_7332), in_environment(_7332, _7587), -(greater(zero, growth_rate(_7418, _7587))), greater(resilience(_7503), resilience(_7418))], clausify(a12)).
% 0.34/1.43 cnf(11, plain, [subpopulations(_6465, _6545, _6384, _6624), environment(_6384), -(greater_or_equal(growth_rate(_6545, _6624), zero)), outcompetes(_6545, _6465, _6624)], clausify(d2)).
% 0.34/1.43 cnf(12, plain, [subpopulations(_6465, _6545, _6384, _6624), environment(_6384), -(greater(zero, growth_rate(_6465, _6624))), outcompetes(_6545, _6465, _6624)], clausify(d2)).
% 0.34/1.43 cnf(13, plain, [subpopulations(_6465, _6545, _6384, _6624), environment(_6384), -(outcompetes(_6545, _6465, _6624)), greater_or_equal(growth_rate(_6545, _6624), zero), greater(zero, growth_rate(_6465, _6624))], clausify(d2)).
% 0.34/1.43
% 0.34/1.43 cnf('1',plain,[greater_or_equal(growth_rate(first_movers, 2 ^ []), zero), greater(zero, growth_rate(first_movers, 2 ^ []))],start(7,bind([[_5630, _5779], [first_movers, 2 ^ []]]))).
% 0.34/1.43 cnf('1.1',plain,[-(greater_or_equal(growth_rate(first_movers, 2 ^ []), zero)), -(greater(zero, growth_rate(first_movers, 2 ^ []))), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_5630, _5705, _5554, _5779], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.34/1.43 cnf('1.1.1',plain,[greater(zero, growth_rate(first_movers, 2 ^ [])), -(environment(1 ^ []))],extension(6,bind([[_5630, _5779, _5554], [first_movers, 2 ^ [], 1 ^ []]]))).
% 0.34/1.43 cnf('1.1.1.1',plain,[environment(1 ^ []), -(subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ [])), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(4,bind([[_4556, _4610], [1 ^ [], 2 ^ []]]))).
% 0.34/1.43 cnf('1.1.1.1.1',plain,[subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(greater_or_equal(growth_rate(first_movers, 2 ^ []), zero)), outcompetes(first_movers, efficient_producers, 2 ^ [])],extension(11,bind([[_6384, _6545, _6465, _6624], [1 ^ [], first_movers, efficient_producers, 2 ^ []]]))).
% 0.34/1.43 cnf('1.1.1.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.1.1.1.1.2',plain,[greater_or_equal(growth_rate(first_movers, 2 ^ []), zero)],reduction('1')).
% 0.34/1.43 cnf('1.1.1.1.1.3',plain,[-(outcompetes(first_movers, efficient_producers, 2 ^ []))],extension(3)).
% 0.34/1.43 cnf('1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.43 cnf('1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.1.3',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.43 cnf('1.2',plain,[-(greater(zero, growth_rate(first_movers, 2 ^ []))), -(greater_or_equal(growth_rate(first_movers, 2 ^ []), zero)), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_5630, _5705, _5554, _5779], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1',plain,[greater_or_equal(growth_rate(first_movers, 2 ^ []), zero), subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(outcompetes(first_movers, efficient_producers, 2 ^ [])), greater(zero, growth_rate(efficient_producers, 2 ^ []))],extension(13,bind([[_6384, _6545, _6465, _6624], [1 ^ [], first_movers, efficient_producers, 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.1',plain,[-(subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(4,bind([[_4556, _4610], [1 ^ [], 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.43 cnf('1.2.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.3',plain,[outcompetes(first_movers, efficient_producers, 2 ^ []), subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(zero, growth_rate(efficient_producers, 2 ^ [])))],extension(12,bind([[_6545, _6384, _6465, _6624], [first_movers, 1 ^ [], efficient_producers, 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.3.1',plain,[-(subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(4,bind([[_4556, _4610], [1 ^ [], 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.43 cnf('1.2.1.3.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.3.3',plain,[greater(zero, growth_rate(efficient_producers, 2 ^ [])), environment(1 ^ []), in_environment(1 ^ [], 2 ^ []), -(greater(zero, growth_rate(first_movers, 2 ^ []))), greater(resilience(efficient_producers), resilience(first_movers))],extension(10,bind([[_7332, _7587, _7503, _7418], [1 ^ [], 2 ^ [], efficient_producers, first_movers]]))).
% 0.34/1.43 cnf('1.2.1.3.3.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.3.3.2',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(5,bind([[_5097, _5149], [1 ^ [], 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.3.3.2.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.3.3.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.43 cnf('1.2.1.3.3.3',plain,[greater(zero, growth_rate(first_movers, 2 ^ []))],reduction('1')).
% 0.34/1.43 cnf('1.2.1.3.3.4',plain,[-(greater(resilience(efficient_producers), resilience(first_movers)))],extension(9)).
% 0.34/1.43 cnf('1.2.1.4',plain,[-(greater(zero, growth_rate(efficient_producers, 2 ^ []))), subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ []), environment(1 ^ []), outcompetes(first_movers, efficient_producers, 2 ^ [])],extension(12,bind([[_6384, _6545, _6465, _6624], [1 ^ [], first_movers, efficient_producers, 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.4.1',plain,[-(subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(4,bind([[_4556, _4610], [1 ^ [], 2 ^ []]]))).
% 0.34/1.43 cnf('1.2.1.4.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.4.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.43 cnf('1.2.1.4.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.1.4.3',plain,[-(outcompetes(first_movers, efficient_producers, 2 ^ []))],extension(3)).
% 0.34/1.43 cnf('1.2.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.34/1.43 cnf('1.2.3',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.34/1.43 %-----------------------------------------------------
% 0.34/1.43
% 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------