TSTP Solution File: MGT036+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 22:16:53 EDT 2022
% Result : Theorem 0.32s 1.41s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.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 12:17:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.32/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.42
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42 fof(prove_t5, conjecture, ! [_24603, _24606] : (environment(_24603) & subpopulations(first_movers, efficient_producers, _24603, _24606) => ~ outcompetes(first_movers, efficient_producers, _24606)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_t5)).
% 0.32/1.42 fof(mp_symmetry_of_subpopulations, axiom, ! [_24820, _24823, _24826, _24829] : (environment(_24820) & subpopulations(_24823, _24826, _24820, _24829) => subpopulations(_24826, _24823, _24820, _24829)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_symmetry_of_subpopulations)).
% 0.32/1.42 fof(mp_time_point_occur, axiom, ! [_25037, _25040] : (environment(_25037) & subpopulations(first_movers, efficient_producers, _25037, _25040) => in_environment(_25037, _25040)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_time_point_occur)).
% 0.32/1.42 fof(mp_growth_rate_relationships, axiom, ! [_25218, _25221, _25224, _25227] : (environment(_25218) & subpopulations(_25221, _25224, _25218, _25227) => greater_or_equal(growth_rate(_25221, _25227), zero) <=> ~ greater(zero, growth_rate(_25221, _25227))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_growth_rate_relationships)).
% 0.32/1.42 fof(a2, hypothesis, greater(resilience(efficient_producers), resilience(first_movers)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a2)).
% 0.32/1.42 fof(a13, hypothesis, ! [_25571, _25574, _25577, _25580] : (environment(_25571) & in_environment(_25571, _25580) & ~ greater(zero, growth_rate(_25574, _25580)) & greater(resilience(_25577), resilience(_25574)) => ~ greater(zero, growth_rate(_25577, _25580))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a13)).
% 0.32/1.42 fof(d2, hypothesis, ! [_25880, _25883, _25886, _25889] : (environment(_25880) & subpopulations(_25883, _25886, _25880, _25889) => (greater_or_equal(growth_rate(_25886, _25889), zero) & greater(zero, growth_rate(_25883, _25889)) <=> outcompetes(_25886, _25883, _25889))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2)).
% 0.32/1.42
% 0.32/1.42 cnf(1, plain, [-(environment(1 ^ []))], clausify(prove_t5)).
% 0.32/1.42 cnf(2, plain, [-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))], clausify(prove_t5)).
% 0.32/1.42 cnf(3, plain, [-(outcompetes(first_movers, efficient_producers, 2 ^ []))], clausify(prove_t5)).
% 0.32/1.42 cnf(4, plain, [-(subpopulations(_4707, _4644, _4580, _4769)), environment(_4580), subpopulations(_4644, _4707, _4580, _4769)], clausify(mp_symmetry_of_subpopulations)).
% 0.32/1.42 cnf(5, plain, [-(in_environment(_5278, _5330)), environment(_5278), subpopulations(first_movers, efficient_producers, _5278, _5330)], clausify(mp_time_point_occur)).
% 0.32/1.42 cnf(6, plain, [-(environment(_5735)), greater(zero, growth_rate(_5811, _5960))], clausify(mp_growth_rate_relationships)).
% 0.32/1.42 cnf(7, plain, [greater_or_equal(growth_rate(_5811, _5960), zero), greater(zero, growth_rate(_5811, _5960))], clausify(mp_growth_rate_relationships)).
% 0.32/1.42 cnf(8, plain, [-(greater(zero, growth_rate(_5811, _5960))), -(greater_or_equal(growth_rate(_5811, _5960), zero)), environment(_5735), subpopulations(_5811, _5886, _5735, _5960)], clausify(mp_growth_rate_relationships)).
% 0.32/1.42 cnf(9, plain, [-(greater(resilience(efficient_producers), resilience(first_movers)))], clausify(a2)).
% 0.32/1.42 cnf(10, plain, [greater(zero, growth_rate(_7839, _7923)), environment(_7668), in_environment(_7668, _7923), -(greater(zero, growth_rate(_7754, _7923))), greater(resilience(_7839), resilience(_7754))], clausify(a13)).
% 0.32/1.42 cnf(11, plain, [subpopulations(_6646, _6726, _6565, _6805), environment(_6565), -(greater_or_equal(growth_rate(_6726, _6805), zero)), outcompetes(_6726, _6646, _6805)], clausify(d2)).
% 0.32/1.42 cnf(12, plain, [subpopulations(_6646, _6726, _6565, _6805), environment(_6565), -(greater(zero, growth_rate(_6646, _6805))), outcompetes(_6726, _6646, _6805)], clausify(d2)).
% 0.32/1.42 cnf(13, plain, [subpopulations(_6646, _6726, _6565, _6805), environment(_6565), -(outcompetes(_6726, _6646, _6805)), greater_or_equal(growth_rate(_6726, _6805), zero), greater(zero, growth_rate(_6646, _6805))], clausify(d2)).
% 0.32/1.42
% 0.32/1.42 cnf('1',plain,[greater_or_equal(growth_rate(first_movers, 2 ^ []), zero), greater(zero, growth_rate(first_movers, 2 ^ []))],start(7,bind([[_5811, _5960], [first_movers, 2 ^ []]]))).
% 0.32/1.42 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([[_5811, _5886, _5735, _5960], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.1.1',plain,[greater(zero, growth_rate(first_movers, 2 ^ [])), -(environment(1 ^ []))],extension(6,bind([[_5811, _5960, _5735], [first_movers, 2 ^ [], 1 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1',plain,[environment(1 ^ []), -(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])), subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ [])],extension(4,bind([[_4644, _4707, _4580, _4769], [efficient_producers, first_movers, 1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1.1',plain,[subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []), -(subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ [])), environment(1 ^ [])],extension(4,bind([[_4707, _4644, _4769, _4580], [efficient_producers, first_movers, 2 ^ [], 1 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1.1.1',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([[_6565, _6726, _6646, _6805], [1 ^ [], first_movers, efficient_producers, 2 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.1.1.1.1.2',plain,[greater_or_equal(growth_rate(first_movers, 2 ^ []), zero)],reduction('1')).
% 0.32/1.42 cnf('1.1.1.1.1.1.3',plain,[-(outcompetes(first_movers, efficient_producers, 2 ^ []))],extension(3)).
% 0.32/1.42 cnf('1.1.1.1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.1.1.2',plain,[-(subpopulations(efficient_producers, first_movers, 1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(4,bind([[_4644, _4707, _4580, _4769], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1.2.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.1.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 cnf('1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.1.3',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 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([[_5811, _5886, _5735, _5960], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.32/1.42 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([[_6565, _6726, _6646, _6805], [1 ^ [], first_movers, efficient_producers, 2 ^ []]]))).
% 0.32/1.42 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([[_4644, _4707, _4580, _4769], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.2.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.2.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 cnf('1.2.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 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([[_6726, _6565, _6646, _6805], [first_movers, 1 ^ [], efficient_producers, 2 ^ []]]))).
% 0.32/1.42 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([[_4644, _4707, _4580, _4769], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.2.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.2.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 cnf('1.2.1.3.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 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([[_7668, _7923, _7839, _7754], [1 ^ [], 2 ^ [], efficient_producers, first_movers]]))).
% 0.32/1.42 cnf('1.2.1.3.3.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.2.1.3.3.2',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(5,bind([[_5278, _5330], [1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.2.1.3.3.2.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.2.1.3.3.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 cnf('1.2.1.3.3.3',plain,[greater(zero, growth_rate(first_movers, 2 ^ []))],reduction('1')).
% 0.32/1.42 cnf('1.2.1.3.3.4',plain,[-(greater(resilience(efficient_producers), resilience(first_movers)))],extension(9)).
% 0.32/1.42 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([[_6565, _6726, _6646, _6805], [1 ^ [], first_movers, efficient_producers, 2 ^ []]]))).
% 0.32/1.42 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([[_4644, _4707, _4580, _4769], [first_movers, efficient_producers, 1 ^ [], 2 ^ []]]))).
% 0.32/1.42 cnf('1.2.1.4.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.2.1.4.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 cnf('1.2.1.4.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.2.1.4.3',plain,[-(outcompetes(first_movers, efficient_producers, 2 ^ []))],extension(3)).
% 0.32/1.42 cnf('1.2.2',plain,[-(environment(1 ^ []))],extension(1)).
% 0.32/1.42 cnf('1.2.3',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.43
% 0.32/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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