TSTP Solution File: MGT036-3 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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  : 300s
% DateTime : Wed May 31 12:21:17 EDT 2023

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 11:03:52 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36  fof(f1,axiom,(
% 0.14/0.36    (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| subpopulations(C,B,A,D) ) ))),
% 0.14/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f2,hypothesis,(
% 0.14/0.36    (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| ~ greater_or_equal(growth_rate(C,D),zero)| ~ greater(zero,growth_rate(B,D))| outcompetes(C,B,D) ) ))),
% 0.14/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f5,hypothesis,(
% 0.14/0.36    environment(sk1) ),
% 0.14/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f6,hypothesis,(
% 0.14/0.36    subpopulations(first_movers,efficient_producers,sk1,sk2) ),
% 0.14/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f7,hypothesis,(
% 0.14/0.36    greater_or_equal(growth_rate(first_movers,sk2),zero) ),
% 0.14/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f8,hypothesis,(
% 0.14/0.36    greater(zero,growth_rate(efficient_producers,sk2)) ),
% 0.14/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f9,negated_conjecture,(
% 0.14/0.36    (![A,B]: (( ~ environment(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ outcompetes(first_movers,efficient_producers,B) ) ))),
% 0.14/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.36  fof(f10,plain,(
% 0.14/0.36    ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|subpopulations(X2,X1,X0,X3))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.36  fof(f11,plain,(
% 0.14/0.36    ![B,C,D]: ((((![A]: (~environment(A)|~subpopulations(B,C,A,D)))|~greater_or_equal(growth_rate(C,D),zero))|~greater(zero,growth_rate(B,D)))|outcompetes(C,B,D))),
% 0.14/0.36    inference(miniscoping,[status(esa)],[f2])).
% 0.14/0.36  fof(f12,plain,(
% 0.14/0.36    ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~greater_or_equal(growth_rate(X2,X3),zero)|~greater(zero,growth_rate(X1,X3))|outcompetes(X2,X1,X3))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.36  fof(f17,plain,(
% 0.14/0.36    environment(sk1)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.36  fof(f18,plain,(
% 0.14/0.36    subpopulations(first_movers,efficient_producers,sk1,sk2)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.36  fof(f19,plain,(
% 0.14/0.36    greater_or_equal(growth_rate(first_movers,sk2),zero)),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.36  fof(f20,plain,(
% 0.14/0.36    greater(zero,growth_rate(efficient_producers,sk2))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.36  fof(f21,plain,(
% 0.14/0.36    ![B]: ((![A]: (~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)))|~outcompetes(first_movers,efficient_producers,B))),
% 0.14/0.36    inference(miniscoping,[status(esa)],[f9])).
% 0.14/0.36  fof(f22,plain,(
% 0.14/0.36    ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~outcompetes(first_movers,efficient_producers,X1))),
% 0.14/0.36    inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.36  fof(f23,plain,(
% 0.14/0.36    spl0_0 <=> environment(sk1)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f25,plain,(
% 0.14/0.36    ~environment(sk1)|spl0_0),
% 0.14/0.36    inference(component_clause,[status(thm)],[f23])).
% 0.14/0.36  fof(f26,plain,(
% 0.14/0.36    spl0_1 <=> outcompetes(first_movers,efficient_producers,sk2)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f29,plain,(
% 0.14/0.36    ~environment(sk1)|~outcompetes(first_movers,efficient_producers,sk2)),
% 0.14/0.36    inference(resolution,[status(thm)],[f18,f22])).
% 0.14/0.36  fof(f30,plain,(
% 0.14/0.36    ~spl0_0|~spl0_1),
% 0.14/0.36    inference(split_clause,[status(thm)],[f29,f23,f26])).
% 0.14/0.36  fof(f31,plain,(
% 0.14/0.36    spl0_2 <=> subpopulations(efficient_producers,first_movers,sk1,sk2)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f32,plain,(
% 0.14/0.36    subpopulations(efficient_producers,first_movers,sk1,sk2)|~spl0_2),
% 0.14/0.36    inference(component_clause,[status(thm)],[f31])).
% 0.14/0.36  fof(f34,plain,(
% 0.14/0.36    ~environment(sk1)|subpopulations(efficient_producers,first_movers,sk1,sk2)),
% 0.14/0.36    inference(resolution,[status(thm)],[f18,f10])).
% 0.14/0.36  fof(f35,plain,(
% 0.14/0.36    ~spl0_0|spl0_2),
% 0.14/0.36    inference(split_clause,[status(thm)],[f34,f23,f31])).
% 0.14/0.36  fof(f36,plain,(
% 0.14/0.36    $false|spl0_0),
% 0.14/0.36    inference(forward_subsumption_resolution,[status(thm)],[f25,f17])).
% 0.14/0.36  fof(f37,plain,(
% 0.14/0.36    spl0_0),
% 0.14/0.36    inference(contradiction_clause,[status(thm)],[f36])).
% 0.14/0.36  fof(f38,plain,(
% 0.14/0.36    ![X0,X1]: (~environment(X0)|~subpopulations(X1,first_movers,X0,sk2)|~greater(zero,growth_rate(X1,sk2))|outcompetes(first_movers,X1,sk2))),
% 0.14/0.36    inference(resolution,[status(thm)],[f12,f19])).
% 0.14/0.36  fof(f53,plain,(
% 0.14/0.36    spl0_6 <=> ~environment(X0)|~subpopulations(efficient_producers,first_movers,X0,sk2)),
% 0.14/0.36    introduced(split_symbol_definition)).
% 0.14/0.36  fof(f54,plain,(
% 0.14/0.36    ![X0]: (~environment(X0)|~subpopulations(efficient_producers,first_movers,X0,sk2)|~spl0_6)),
% 0.14/0.36    inference(component_clause,[status(thm)],[f53])).
% 0.14/0.36  fof(f56,plain,(
% 0.14/0.36    ![X0]: (~environment(X0)|~subpopulations(efficient_producers,first_movers,X0,sk2)|outcompetes(first_movers,efficient_producers,sk2))),
% 0.14/0.36    inference(resolution,[status(thm)],[f38,f20])).
% 0.14/0.36  fof(f57,plain,(
% 0.14/0.36    spl0_6|spl0_1),
% 0.14/0.36    inference(split_clause,[status(thm)],[f56,f53,f26])).
% 0.14/0.36  fof(f75,plain,(
% 0.14/0.36    ~environment(sk1)|~spl0_6|~spl0_2),
% 0.14/0.36    inference(resolution,[status(thm)],[f54,f32])).
% 0.14/0.36  fof(f76,plain,(
% 0.14/0.36    ~spl0_0|~spl0_6|~spl0_2),
% 0.14/0.36    inference(split_clause,[status(thm)],[f75,f23,f53,f31])).
% 0.14/0.36  fof(f77,plain,(
% 0.14/0.36    $false),
% 0.14/0.36    inference(sat_refutation,[status(thm)],[f30,f35,f37,f57,f76])).
% 0.14/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.58  % Elapsed time: 0.014324 seconds
% 0.21/0.58  % CPU time: 0.025111 seconds
% 0.21/0.58  % Memory used: 7.085 MB
%------------------------------------------------------------------------------