%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT028-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:43 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT028-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n005.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 01:22:08 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.10/5.40 % Refutation found
% 0.10/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.40 fof(f1,axiom,(
% 0.10/5.40 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| greater(sk2(A),appear(efficient_producers,A)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f2,axiom,(
% 0.10/5.40 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| greater(sk2(A),appear(efficient_producers,A)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f3,axiom,(
% 0.10/5.40 (![A,B,C]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater_or_equal(C,sk2(A))| greater(zero,growth_rate(first_movers,C)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f4,axiom,(
% 0.10/5.40 (![A,B,C]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater_or_equal(C,sk2(A))| greater(zero,growth_rate(first_movers,C)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f5,axiom,(
% 0.10/5.40 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))| greater(sk2(A),appear(efficient_producers,A)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f6,axiom,(
% 0.10/5.40 (![A,B,C]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater_or_equal(C,sk2(A))| greater(zero,growth_rate(first_movers,C)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f7,hypothesis,(
% 0.10/5.40 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,sk3(A)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f9,hypothesis,(
% 0.10/5.40 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ greater_or_equal(B,sk3(A))| greater(zero,growth_rate(first_movers,B)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f10,negated_conjecture,(
% 0.10/5.40 environment(sk4) ),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f11,negated_conjecture,(
% 0.10/5.40 stable(sk4) ),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f12,negated_conjecture,(
% 0.10/5.40 (![A]: (( ~ greater(A,appear(efficient_producers,sk4))| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f13,negated_conjecture,(
% 0.10/5.40 (![A]: (( ~ greater(A,appear(efficient_producers,sk4))| greater_or_equal(sk5(A),A) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f14,negated_conjecture,(
% 0.10/5.40 (![A]: (( ~ greater(A,appear(efficient_producers,sk4))| ~ greater(zero,growth_rate(first_movers,sk5(A))) ) ))),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f15,plain,(
% 0.10/5.40 ![A]: ((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|greater(sk2(A),appear(efficient_producers,A)))),
% 0.10/5.40 inference(miniscoping,[status(thm)],[f1])).
% 0.10/5.40 fof(f16,plain,(
% 0.10/5.40 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|greater(sk2(X0),appear(efficient_producers,X0)))),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/5.40 fof(f17,plain,(
% 0.10/5.40 ![A]: ((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|greater(sk2(A),appear(efficient_producers,A)))),
% 0.10/5.40 inference(miniscoping,[status(thm)],[f2])).
% 0.10/5.40 fof(f18,plain,(
% 0.10/5.40 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|greater(sk2(X0),appear(efficient_producers,X0)))),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/5.40 fof(f19,plain,(
% 0.10/5.40 ![C]: ((![A]: (((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater_or_equal(C,sk2(A))))|greater(zero,growth_rate(first_movers,C)))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f3])).
% 0.12/5.40 fof(f20,plain,(
% 0.12/5.40 ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater_or_equal(X2,sk2(X0))|greater(zero,growth_rate(first_movers,X2)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/5.40 fof(f21,plain,(
% 0.12/5.40 ![C]: ((![A]: (((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|~subpopulations(first_movers,efficient_producers,A,C))|~greater_or_equal(C,sk2(A))))|greater(zero,growth_rate(first_movers,C)))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f4])).
% 0.12/5.40 fof(f22,plain,(
% 0.12/5.40 ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater_or_equal(X2,sk2(X0))|greater(zero,growth_rate(first_movers,X2)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/5.40 fof(f23,plain,(
% 0.12/5.40 ![A]: ((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|~greater(zero,growth_rate(first_movers,sk1(B,A)))))|greater(sk2(A),appear(efficient_producers,A)))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f5])).
% 0.12/5.40 fof(f24,plain,(
% 0.12/5.40 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(zero,growth_rate(first_movers,sk1(X1,X0)))|greater(sk2(X0),appear(efficient_producers,X0)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/5.40 fof(f25,plain,(
% 0.12/5.40 ![C]: ((![A]: (((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|~greater(zero,growth_rate(first_movers,sk1(B,A)))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater_or_equal(C,sk2(A))))|greater(zero,growth_rate(first_movers,C)))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f6])).
% 0.12/5.40 fof(f26,plain,(
% 0.12/5.40 ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(zero,growth_rate(first_movers,sk1(X1,X0)))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater_or_equal(X2,sk2(X0))|greater(zero,growth_rate(first_movers,X2)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/5.40 fof(f27,plain,(
% 0.12/5.40 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk3(X0)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/5.40 fof(f30,plain,(
% 0.12/5.40 ![B]: ((![A]: (((~environment(A)|~stable(A))|~subpopulations(first_movers,efficient_producers,A,B))|~greater_or_equal(B,sk3(A))))|greater(zero,growth_rate(first_movers,B)))),
% 0.12/5.40 inference(miniscoping,[status(thm)],[f9])).
% 0.12/5.40 fof(f31,plain,(
% 0.12/5.40 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk3(X0))|greater(zero,growth_rate(first_movers,X1)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/5.40 fof(f32,plain,(
% 0.12/5.40 environment(sk4)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/5.40 fof(f33,plain,(
% 0.12/5.40 stable(sk4)),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/5.40 fof(f34,plain,(
% 0.12/5.40 ![X0]: (~greater(X0,appear(efficient_producers,sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(X0)))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/5.40 fof(f35,plain,(
% 0.12/5.40 ![X0]: (~greater(X0,appear(efficient_producers,sk4))|greater_or_equal(sk5(X0),X0))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/5.40 fof(f36,plain,(
% 0.12/5.40 ![X0]: (~greater(X0,appear(efficient_producers,sk4))|~greater(zero,growth_rate(first_movers,sk5(X0))))),
% 0.12/5.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/5.40 fof(f37,plain,(
% 0.12/5.40 ~stable(sk4)|in_environment(sk4,sk3(sk4))),
% 0.12/5.40 inference(resolution,[status(thm)],[f27,f32])).
% 0.12/5.40 fof(f38,definition,(
% 0.12/5.40 sQ0_spl <=> (stable(sk4))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f40,plain,(
% 0.12/5.40 ~stable(sk4)|sQ0_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f38])).
% 0.12/5.40 fof(f41,definition,(
% 0.12/5.40 sQ1_spl <=> (in_environment(sk4,sk3(sk4)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f42,plain,(
% 0.12/5.40 in_environment(sk4,sk3(sk4))|~sQ1_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f41])).
% 0.12/5.40 fof(f44,plain,(
% 0.12/5.40 ~sQ0_spl|sQ1_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f37,f38,f41])).
% 0.12/5.40 fof(f45,plain,(
% 0.12/5.40 $false|sQ0_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f40,f33])).
% 0.12/5.40 fof(f46,plain,(
% 0.12/5.40 sQ0_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f45])).
% 0.12/5.40 fof(f47,plain,(
% 0.12/5.40 ~environment(sk4)|~stable(sk4)|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(sk2(sk4),appear(efficient_producers,sk4))|~sQ1_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f42,f18])).
% 0.12/5.40 fof(f48,definition,(
% 0.12/5.40 sQ2_spl <=> (environment(sk4))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f50,plain,(
% 0.12/5.40 ~environment(sk4)|sQ2_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f48])).
% 0.12/5.40 fof(f51,definition,(
% 0.12/5.40 sQ3_spl <=> (greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f52,plain,(
% 0.12/5.40 greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|~sQ3_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f51])).
% 0.12/5.40 fof(f54,definition,(
% 0.12/5.40 sQ4_spl <=> (greater(sk2(sk4),appear(efficient_producers,sk4)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f55,plain,(
% 0.12/5.40 greater(sk2(sk4),appear(efficient_producers,sk4))|~sQ4_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f54])).
% 0.12/5.40 fof(f57,plain,(
% 0.12/5.40 ~sQ2_spl|~sQ0_spl|sQ3_spl|sQ4_spl|~sQ1_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f47,f48,f38,f51,f54,f41])).
% 0.12/5.40 fof(f58,plain,(
% 0.12/5.40 greater_or_equal(sk5(sk2(sk4)),sk2(sk4))|~sQ4_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f55,f35])).
% 0.12/5.40 fof(f59,plain,(
% 0.12/5.40 ![X0,X1]: (~stable(sk4)|~in_environment(sk4,X0)|greater_or_equal(sk1(X0,sk4),X0)|~subpopulations(first_movers,efficient_producers,sk4,X1)|~greater_or_equal(X1,sk2(sk4))|greater(zero,growth_rate(first_movers,X1)))),
% 0.12/5.40 inference(resolution,[status(thm)],[f22,f32])).
% 0.12/5.40 fof(f60,definition,(
% 0.12/5.40 ![X0]: (sQ5_spl <=> (~in_environment(sk4,X0)|greater_or_equal(sk1(X0,sk4),X0)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f61,plain,(
% 0.12/5.40 ![X0]: (~in_environment(sk4,X0)|greater_or_equal(sk1(X0,sk4),X0)|~sQ5_spl)),
% 0.12/5.40 inference(component_clause,[status(thm)],[f60])).
% 0.12/5.40 fof(f63,definition,(
% 0.12/5.40 ![X1]: (sQ6_spl <=> (~subpopulations(first_movers,efficient_producers,sk4,X1)|~greater_or_equal(X1,sk2(sk4))|greater(zero,growth_rate(first_movers,X1))))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f64,plain,(
% 0.12/5.40 ![X0]: (~subpopulations(first_movers,efficient_producers,sk4,X0)|~greater_or_equal(X0,sk2(sk4))|greater(zero,growth_rate(first_movers,X0))|~sQ6_spl)),
% 0.12/5.40 inference(component_clause,[status(thm)],[f63])).
% 0.12/5.40 fof(f66,plain,(
% 0.12/5.40 ~sQ0_spl|sQ5_spl|sQ6_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f59,f38,f60,f63])).
% 0.12/5.40 fof(f67,plain,(
% 0.12/5.40 greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|~sQ5_spl|~sQ1_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f61,f42])).
% 0.12/5.40 fof(f68,plain,(
% 0.12/5.40 ~environment(sk4)|~stable(sk4)|~subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))|~sQ5_spl|~sQ1_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f67,f31])).
% 0.12/5.40 fof(f70,definition,(
% 0.12/5.40 sQ7_spl <=> (subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f72,plain,(
% 0.12/5.40 ~subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|sQ7_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f70])).
% 0.12/5.40 fof(f73,definition,(
% 0.12/5.40 sQ8_spl <=> (greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f74,plain,(
% 0.12/5.40 greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))|~sQ8_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f73])).
% 0.12/5.40 fof(f76,plain,(
% 0.12/5.40 ~sQ2_spl|~sQ0_spl|~sQ7_spl|sQ8_spl|~sQ5_spl|~sQ1_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f68,f48,f38,f70,f73,f60,f41])).
% 0.12/5.40 fof(f81,plain,(
% 0.12/5.40 $false|sQ2_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f50,f32])).
% 0.12/5.40 fof(f82,plain,(
% 0.12/5.40 sQ2_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f81])).
% 0.12/5.40 fof(f83,plain,(
% 0.12/5.40 ~environment(sk4)|~stable(sk4)|~in_environment(sk4,sk3(sk4))|greater(sk2(sk4),appear(efficient_producers,sk4))|sQ7_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f72,f16])).
% 0.12/5.40 fof(f84,plain,(
% 0.12/5.40 ~sQ2_spl|~sQ0_spl|~sQ1_spl|sQ4_spl|sQ7_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f83,f48,f38,f41,f54,f70])).
% 0.12/5.40 fof(f86,plain,(
% 0.12/5.40 ![X0,X1]: (~stable(sk4)|~in_environment(sk4,X0)|subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))|~subpopulations(first_movers,efficient_producers,sk4,X1)|~greater_or_equal(X1,sk2(sk4))|greater(zero,growth_rate(first_movers,X1)))),
% 0.12/5.40 inference(resolution,[status(thm)],[f20,f32])).
% 0.12/5.40 fof(f87,definition,(
% 0.12/5.40 ![X0]: (sQ10_spl <=> (~in_environment(sk4,X0)|subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f88,plain,(
% 0.12/5.40 ![X0]: (~in_environment(sk4,X0)|subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))|~sQ10_spl)),
% 0.12/5.40 inference(component_clause,[status(thm)],[f87])).
% 0.12/5.40 fof(f90,plain,(
% 0.12/5.40 ~sQ0_spl|sQ10_spl|sQ6_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f86,f38,f87,f63])).
% 0.12/5.40 fof(f91,plain,(
% 0.12/5.40 ~subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))|~sQ6_spl|~sQ4_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f64,f58])).
% 0.12/5.40 fof(f92,definition,(
% 0.12/5.40 sQ11_spl <=> (subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f94,plain,(
% 0.12/5.40 ~subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|sQ11_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f92])).
% 0.12/5.40 fof(f95,definition,(
% 0.12/5.40 sQ12_spl <=> (greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))))),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f96,plain,(
% 0.12/5.40 greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))|~sQ12_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f95])).
% 0.12/5.40 fof(f98,plain,(
% 0.12/5.40 ~sQ11_spl|sQ12_spl|~sQ6_spl|~sQ4_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f91,f92,f95,f63,f54])).
% 0.12/5.40 fof(f100,plain,(
% 0.12/5.40 ~environment(sk4)|~stable(sk4)|~subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))|~sQ3_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f52,f31])).
% 0.12/5.40 fof(f102,plain,(
% 0.12/5.40 ~sQ2_spl|~sQ0_spl|~sQ7_spl|sQ8_spl|~sQ3_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f100,f48,f38,f70,f73,f51])).
% 0.12/5.40 fof(f104,plain,(
% 0.12/5.40 ~greater(sk2(sk4),appear(efficient_producers,sk4))|~sQ12_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f96,f36])).
% 0.12/5.40 fof(f105,plain,(
% 0.12/5.40 $false|~sQ4_spl|~sQ12_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f104,f55])).
% 0.12/5.40 fof(f106,plain,(
% 0.12/5.40 ~sQ4_spl|~sQ12_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f105])).
% 0.12/5.40 fof(f107,plain,(
% 0.12/5.40 ~in_environment(sk4,sk3(sk4))|sQ7_spl|~sQ10_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f72,f88])).
% 0.12/5.40 fof(f109,plain,(
% 0.12/5.40 $false|~sQ1_spl|sQ7_spl|~sQ10_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f107,f42])).
% 0.12/5.40 fof(f110,plain,(
% 0.12/5.40 ~sQ1_spl|sQ7_spl|~sQ10_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f109])).
% 0.12/5.40 fof(f112,plain,(
% 0.12/5.40 ~greater(sk2(sk4),appear(efficient_producers,sk4))|sQ11_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f94,f34])).
% 0.12/5.40 fof(f113,plain,(
% 0.12/5.40 $false|~sQ4_spl|sQ11_spl),
% 0.12/5.40 inference(forward_subsumption_resolution,[status(thm)],[f112,f55])).
% 0.12/5.40 fof(f114,plain,(
% 0.12/5.40 ~sQ4_spl|sQ11_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f113])).
% 0.12/5.40 fof(f116,plain,(
% 0.12/5.40 ![X0]: (~environment(sk4)|~stable(sk4)|~in_environment(sk4,sk3(sk4))|~subpopulations(first_movers,efficient_producers,sk4,X0)|~greater_or_equal(X0,sk2(sk4))|greater(zero,growth_rate(first_movers,X0))|~sQ8_spl)),
% 0.12/5.40 inference(resolution,[status(thm)],[f74,f26])).
% 0.12/5.40 fof(f117,plain,(
% 0.12/5.40 ~environment(sk4)|~stable(sk4)|~in_environment(sk4,sk3(sk4))|greater(sk2(sk4),appear(efficient_producers,sk4))|~sQ8_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f74,f24])).
% 0.12/5.40 fof(f118,plain,(
% 0.12/5.40 ~sQ2_spl|~sQ0_spl|~sQ1_spl|sQ6_spl|~sQ8_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f116,f48,f38,f41,f63,f73])).
% 0.12/5.40 fof(f119,plain,(
% 0.12/5.40 ~sQ2_spl|~sQ0_spl|~sQ1_spl|sQ4_spl|~sQ8_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f117,f48,f38,f41,f54,f73])).
% 0.12/5.40 fof(f120,plain,(
% 0.12/5.40 $false),
% 0.12/5.40 inference(sat_refutation,[status(thm)],[f44,f46,f57,f66,f76,f82,f84,f90,f98,f102,f106,f110,f114,f118,f119])).
% 0.12/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.43 % Elapsed time: 0.046190 seconds
% 0.12/5.43 % CPU time: 0.118373 seconds
% 0.12/5.43 % Total memory used: 17.369 MB
% 0.12/5.43 % Net memory used: 16.965 MB
%------------------------------------------------------------------------------