TSTP Solution File: MGT023-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT023-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:21:12 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:04:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| in_environment(A,sk2(A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| in_environment(A,sk2(A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| in_environment(A,sk2(A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,axiom,(
% 0.13/0.36 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,hypothesis,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk3(B,A))| B = critical_point(A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,hypothesis,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| greater(sk3(B,A),B)| B = critical_point(A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f12,hypothesis,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))| B = critical_point(A) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f13,hypothesis,(
% 0.13/0.36 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,sk4(A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f14,hypothesis,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ greater_or_equal(B,sk4(A))| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f15,negated_conjecture,(
% 0.13/0.36 environment(sk5) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f16,negated_conjecture,(
% 0.13/0.36 stable(sk5) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f17,negated_conjecture,(
% 0.13/0.36 ~ in_environment(sk5,critical_point(sk5)) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|in_environment(A,sk2(A)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|in_environment(X0,sk2(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|in_environment(A,sk2(A)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f2])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|in_environment(X0,sk2(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|in_environment(A,sk2(A)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|in_environment(X0,sk2(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))|X1=critical_point(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|greater(sk3(X1,X0),X1)|X1=critical_point(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))|X1=critical_point(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk4(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f40,plain,(
% 0.13/0.36 ![B]: ((![A]: (((~environment(A)|~stable(A))|~subpopulations(first_movers,efficient_producers,A,B))|~greater_or_equal(B,sk4(A))))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f14])).
% 0.13/0.36 fof(f41,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk4(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f42,plain,(
% 0.13/0.36 environment(sk5)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 stable(sk5)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 ~in_environment(sk5,critical_point(sk5))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 spl0_0 <=> environment(sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 ~environment(sk5)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f45])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 spl0_1 <=> in_environment(sk5,sk4(sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 in_environment(sk5,sk4(sk5))|~spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f48])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ~environment(sk5)|in_environment(sk5,sk4(sk5))),
% 0.13/0.36 inference(resolution,[status(thm)],[f39,f43])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 ~spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f51,f45,f48])).
% 0.13/0.36 fof(f53,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f47,f42])).
% 0.13/0.36 fof(f54,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f53])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 spl0_2 <=> greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|~spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.36 fof(f57,plain,(
% 0.13/0.36 ~greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 spl0_3 <=> in_environment(sk5,sk2(sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f59,plain,(
% 0.13/0.36 in_environment(sk5,sk2(sk5))|~spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f58])).
% 0.13/0.36 fof(f61,plain,(
% 0.13/0.36 ~environment(sk5)|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|in_environment(sk5,sk2(sk5))|~spl0_1),
% 0.13/0.36 inference(resolution,[status(thm)],[f49,f21])).
% 0.13/0.36 fof(f62,plain,(
% 0.13/0.36 ~spl0_0|spl0_2|spl0_3|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f61,f45,f55,f58,f48])).
% 0.13/0.36 fof(f63,plain,(
% 0.13/0.36 spl0_4 <=> greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 spl0_5 <=> subpopulations(first_movers,efficient_producers,sk5,sk3(sk4(sk5),sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f69,plain,(
% 0.13/0.36 spl0_6 <=> sk4(sk5)=critical_point(sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f70,plain,(
% 0.13/0.36 sk4(sk5)=critical_point(sk5)|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.36 fof(f72,plain,(
% 0.13/0.36 ~environment(sk5)|greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk4(sk5),sk5))|sk4(sk5)=critical_point(sk5)|~spl0_1),
% 0.13/0.36 inference(resolution,[status(thm)],[f49,f36])).
% 0.13/0.36 fof(f73,plain,(
% 0.13/0.36 ~spl0_0|spl0_4|spl0_5|spl0_6|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f72,f45,f63,f66,f69,f48])).
% 0.13/0.36 fof(f74,plain,(
% 0.13/0.36 spl0_7 <=> greater(sk3(sk4(sk5),sk5),sk4(sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f77,plain,(
% 0.13/0.36 ~environment(sk5)|greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))|greater(sk3(sk4(sk5),sk5),sk4(sk5))|sk4(sk5)=critical_point(sk5)|~spl0_1),
% 0.13/0.36 inference(resolution,[status(thm)],[f49,f37])).
% 0.13/0.36 fof(f78,plain,(
% 0.13/0.36 ~spl0_0|spl0_4|spl0_7|spl0_6|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f77,f45,f63,f74,f69,f48])).
% 0.13/0.36 fof(f79,plain,(
% 0.13/0.36 in_environment(sk5,critical_point(sk5))|~spl0_6|~spl0_1),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f70,f49])).
% 0.13/0.36 fof(f80,plain,(
% 0.13/0.36 $false|~spl0_6|~spl0_1),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f79,f44])).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 ~spl0_6|~spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f80])).
% 0.13/0.36 fof(f88,plain,(
% 0.13/0.36 spl0_8 <=> stable(sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f90,plain,(
% 0.13/0.36 ~stable(sk5)|spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f88])).
% 0.13/0.36 fof(f91,plain,(
% 0.13/0.36 spl0_9 <=> subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f93,plain,(
% 0.13/0.36 ~subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|spl0_9),
% 0.13/0.36 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.36 fof(f94,plain,(
% 0.13/0.36 spl0_10 <=> greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f95,plain,(
% 0.13/0.36 greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|~spl0_10),
% 0.13/0.36 inference(component_clause,[status(thm)],[f94])).
% 0.13/0.36 fof(f97,plain,(
% 0.13/0.36 ~environment(sk5)|~stable(sk5)|~subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|~spl0_2),
% 0.13/0.36 inference(resolution,[status(thm)],[f56,f41])).
% 0.13/0.36 fof(f98,plain,(
% 0.13/0.36 ~spl0_0|~spl0_8|~spl0_9|spl0_10|~spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f97,f45,f88,f91,f94,f55])).
% 0.13/0.36 fof(f104,plain,(
% 0.13/0.36 spl0_12 <=> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f105,plain,(
% 0.13/0.36 greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|~spl0_12),
% 0.13/0.36 inference(component_clause,[status(thm)],[f104])).
% 0.13/0.36 fof(f107,plain,(
% 0.13/0.36 spl0_13 <=> subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f110,plain,(
% 0.13/0.36 spl0_14 <=> sk2(sk5)=critical_point(sk5)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f111,plain,(
% 0.13/0.36 sk2(sk5)=critical_point(sk5)|~spl0_14),
% 0.13/0.36 inference(component_clause,[status(thm)],[f110])).
% 0.13/0.36 fof(f113,plain,(
% 0.13/0.36 ~environment(sk5)|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|sk2(sk5)=critical_point(sk5)|~spl0_3),
% 0.13/0.36 inference(resolution,[status(thm)],[f59,f36])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 ~spl0_0|spl0_12|spl0_13|spl0_14|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f113,f45,f104,f107,f110,f58])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 spl0_15 <=> greater(sk3(sk2(sk5),sk5),sk2(sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f116,plain,(
% 0.13/0.36 greater(sk3(sk2(sk5),sk5),sk2(sk5))|~spl0_15),
% 0.13/0.36 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 ~environment(sk5)|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5))|sk2(sk5)=critical_point(sk5)|~spl0_3),
% 0.13/0.36 inference(resolution,[status(thm)],[f59,f37])).
% 0.13/0.36 fof(f119,plain,(
% 0.13/0.36 ~spl0_0|spl0_12|spl0_15|spl0_14|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f118,f45,f104,f115,f110,f58])).
% 0.13/0.36 fof(f120,plain,(
% 0.13/0.36 $false|spl0_8),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f90,f43])).
% 0.13/0.36 fof(f121,plain,(
% 0.13/0.36 spl0_8),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f120])).
% 0.13/0.36 fof(f123,plain,(
% 0.13/0.36 ~in_environment(sk5,sk2(sk5))|~spl0_14),
% 0.13/0.36 inference(backward_demodulation,[status(thm)],[f111,f44])).
% 0.13/0.36 fof(f124,plain,(
% 0.13/0.36 $false|~spl0_3|~spl0_14),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f123,f59])).
% 0.13/0.36 fof(f125,plain,(
% 0.13/0.36 ~spl0_3|~spl0_14),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f124])).
% 0.13/0.36 fof(f126,plain,(
% 0.13/0.36 ~environment(sk5)|~in_environment(sk5,sk4(sk5))|in_environment(sk5,sk2(sk5))|spl0_9),
% 0.13/0.36 inference(resolution,[status(thm)],[f93,f19])).
% 0.13/0.36 fof(f127,plain,(
% 0.13/0.36 ~spl0_0|~spl0_1|spl0_3|spl0_9),
% 0.13/0.36 inference(split_clause,[status(thm)],[f126,f45,f48,f58,f91])).
% 0.13/0.36 fof(f128,plain,(
% 0.13/0.36 spl0_16 <=> ~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f129,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))|~spl0_16)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f128])).
% 0.13/0.36 fof(f131,plain,(
% 0.13/0.36 spl0_17 <=> greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f132,plain,(
% 0.13/0.36 greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~spl0_17),
% 0.13/0.36 inference(component_clause,[status(thm)],[f131])).
% 0.13/0.36 fof(f134,plain,(
% 0.13/0.36 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))|~subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~spl0_15)),
% 0.13/0.36 inference(resolution,[status(thm)],[f116,f25])).
% 0.13/0.36 fof(f135,plain,(
% 0.13/0.36 ~spl0_0|spl0_16|~spl0_13|spl0_17|~spl0_15),
% 0.13/0.36 inference(split_clause,[status(thm)],[f134,f45,f128,f107,f131,f115])).
% 0.13/0.36 fof(f136,plain,(
% 0.13/0.36 spl0_18 <=> ~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f137,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)|~spl0_18)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.36 fof(f139,plain,(
% 0.13/0.36 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)|~subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~spl0_15)),
% 0.13/0.36 inference(resolution,[status(thm)],[f116,f29])).
% 0.13/0.36 fof(f140,plain,(
% 0.13/0.36 ~spl0_0|spl0_18|~spl0_13|spl0_17|~spl0_15),
% 0.13/0.36 inference(split_clause,[status(thm)],[f139,f45,f136,f107,f131,f115])).
% 0.13/0.36 fof(f142,plain,(
% 0.13/0.36 spl0_19 <=> ~in_environment(sk5,X0)|~greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f143,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk5,X0)|~greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))|~spl0_19)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.36 fof(f145,plain,(
% 0.13/0.36 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|~greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))|~spl0_12)),
% 0.13/0.36 inference(resolution,[status(thm)],[f105,f33])).
% 0.13/0.36 fof(f146,plain,(
% 0.13/0.36 ~spl0_0|spl0_19|~spl0_12),
% 0.13/0.36 inference(split_clause,[status(thm)],[f145,f45,f142,f104])).
% 0.13/0.36 fof(f147,plain,(
% 0.13/0.36 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))|~spl0_12)),
% 0.13/0.36 inference(resolution,[status(thm)],[f105,f23])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 ~spl0_0|spl0_16|~spl0_12),
% 0.13/0.36 inference(split_clause,[status(thm)],[f147,f45,f128,f104])).
% 0.13/0.36 fof(f149,plain,(
% 0.13/0.36 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)|~spl0_12)),
% 0.13/0.36 inference(resolution,[status(thm)],[f105,f27])).
% 0.13/0.36 fof(f150,plain,(
% 0.13/0.36 ~spl0_0|spl0_18|~spl0_12),
% 0.13/0.36 inference(split_clause,[status(thm)],[f149,f45,f136,f104])).
% 0.13/0.36 fof(f151,plain,(
% 0.13/0.36 spl0_20 <=> ~subpopulations(first_movers,efficient_producers,sk5,X0)|~greater(X0,sk2(sk5))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f152,plain,(
% 0.13/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,sk5,X0)|~greater(X0,sk2(sk5))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~spl0_20)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f151])).
% 0.13/0.36 fof(f154,plain,(
% 0.13/0.36 ![X0]: (~environment(sk5)|~in_environment(sk5,sk4(sk5))|~subpopulations(first_movers,efficient_producers,sk5,X0)|~greater(X0,sk2(sk5))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~spl0_10)),
% 0.13/0.36 inference(resolution,[status(thm)],[f95,f35])).
% 0.13/0.36 fof(f155,plain,(
% 0.13/0.36 ~spl0_0|~spl0_1|spl0_20|~spl0_10),
% 0.13/0.36 inference(split_clause,[status(thm)],[f154,f45,f48,f151,f94])).
% 0.13/0.36 fof(f156,plain,(
% 0.13/0.36 ~environment(sk5)|~in_environment(sk5,sk4(sk5))|in_environment(sk5,sk2(sk5))|~spl0_10),
% 0.13/0.36 inference(resolution,[status(thm)],[f95,f31])).
% 0.13/0.36 fof(f157,plain,(
% 0.13/0.36 ~spl0_0|~spl0_1|spl0_3|~spl0_10),
% 0.13/0.36 inference(split_clause,[status(thm)],[f156,f45,f48,f58,f94])).
% 0.13/0.36 fof(f160,plain,(
% 0.13/0.36 ~in_environment(sk5,sk4(sk5))|~spl0_19|~spl0_10),
% 0.13/0.36 inference(resolution,[status(thm)],[f143,f95])).
% 0.13/0.36 fof(f161,plain,(
% 0.13/0.36 $false|~spl0_1|~spl0_19|~spl0_10),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f160,f49])).
% 0.13/0.36 fof(f162,plain,(
% 0.13/0.36 ~spl0_1|~spl0_19|~spl0_10),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f161])).
% 0.13/0.36 fof(f167,plain,(
% 0.13/0.36 ~subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~spl0_20|~spl0_15),
% 0.13/0.36 inference(resolution,[status(thm)],[f152,f116])).
% 0.13/0.36 fof(f168,plain,(
% 0.13/0.36 ~spl0_13|spl0_17|~spl0_20|~spl0_15),
% 0.13/0.36 inference(split_clause,[status(thm)],[f167,f107,f131,f151,f115])).
% 0.13/0.36 fof(f169,plain,(
% 0.13/0.36 ~environment(sk5)|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|~in_environment(sk5,sk2(sk5))|sk2(sk5)=critical_point(sk5)|~spl0_17),
% 0.13/0.36 inference(resolution,[status(thm)],[f132,f38])).
% 0.13/0.36 fof(f170,plain,(
% 0.13/0.36 ~spl0_0|spl0_12|~spl0_3|spl0_14|~spl0_17),
% 0.13/0.36 inference(split_clause,[status(thm)],[f169,f45,f104,f58,f110,f131])).
% 0.13/0.36 fof(f174,plain,(
% 0.13/0.36 ~in_environment(sk5,sk4(sk5))|~spl0_16|spl0_9),
% 0.13/0.36 inference(resolution,[status(thm)],[f129,f93])).
% 0.13/0.36 fof(f175,plain,(
% 0.13/0.36 $false|~spl0_1|~spl0_16|spl0_9),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f174,f49])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 ~spl0_1|~spl0_16|spl0_9),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f175])).
% 0.13/0.36 fof(f177,plain,(
% 0.13/0.36 ~in_environment(sk5,sk4(sk5))|spl0_2|~spl0_18),
% 0.13/0.36 inference(resolution,[status(thm)],[f57,f137])).
% 0.13/0.36 fof(f178,plain,(
% 0.13/0.36 $false|~spl0_1|spl0_2|~spl0_18),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f177,f49])).
% 0.13/0.36 fof(f179,plain,(
% 0.13/0.36 ~spl0_1|spl0_2|~spl0_18),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f178])).
% 0.13/0.36 fof(f180,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f52,f54,f62,f73,f78,f81,f98,f114,f119,f121,f125,f127,f135,f140,f146,f148,f150,f155,f157,f162,f168,f170,f176,f179])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.020979 seconds
% 0.13/0.37 % CPU time: 0.038905 seconds
% 0.13/0.37 % Memory used: 11.699 MB
%------------------------------------------------------------------------------