%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT030+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:25:44 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT030+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:17:27 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [E] :( ( environment(E)& (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) ))=> (? [To] :( in_environment(E,To)& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,hypothesis,(
% 0.13/0.38 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,conjecture,(
% 0.13/0.38 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 ~((! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) )) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.38 fof(f5,plain,(
% 0.13/0.38 ![E]: ((~environment(E)|(![To]: (~in_environment(E,To)|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))|(?[To]: ((in_environment(E,To)&~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f6,definition,(
% 0.13/0.38 ![E,To,T]: (sP0_prd(T,To,E)<=>((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![E]: ((~environment(E)|(![To]: (~in_environment(E,To)|(?[T]: sP0_prd(T,To,E)))))|(?[To]: ((in_environment(E,To)&~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),
% 0.13/0.38 inference(formula_renaming,[status(thm)],[f5,f6])).
% 0.13/0.39 fof(f8,plain,(
% 0.13/0.39 ![E]: ((~environment(E)|(![To]: (~in_environment(E,To)|sP0_prd(sK0_skl(To,E),To,E))))|((in_environment(E,sK1_skl(E))&~greater(growth_rate(efficient_producers,sK1_skl(E)),growth_rate(first_movers,sK1_skl(E))))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,sK1_skl(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl(To,E)),skolemize(To,sK1_skl(E))],[f7])).
% 0.13/0.39 fof(f9,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|sP0_prd(sK0_skl(X1,X0),X1,X0)|in_environment(X0,sK1_skl(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f10,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|sP0_prd(sK0_skl(X1,X0),X1,X0)|~greater(growth_rate(efficient_producers,sK1_skl(X0)),growth_rate(first_movers,sK1_skl(X0))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f11,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|sP0_prd(sK0_skl(X1,X0),X1,X0)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sK1_skl(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![E]: ((~environment(E)|~stable(E))|(?[To]: (in_environment(E,To)&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![E]: ((~environment(E)|~stable(E))|(in_environment(E,sK2_skl(E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sK2_skl(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(To,sK2_skl(E))],[f12])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sK2_skl(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sK2_skl(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 (?[E]: ((environment(E)&stable(E))&(![To]: ((~in_environment(E,To)|greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ((environment(sK3_skl)&stable(sK3_skl))&(![To]: ((~in_environment(sK3_skl,To)|greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))|((subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(To))&greater(sK4_skl(To),To))&~greater(growth_rate(efficient_producers,sK4_skl(To)),growth_rate(first_movers,sK4_skl(To)))))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(E,sK3_skl),skolemize(T,sK4_skl(To))],[f16])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 environment(sK3_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 stable(sK3_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sK3_skl,X0)|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sK3_skl,X0)|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|greater(sK4_skl(X0),X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sK3_skl,X0)|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~greater(growth_rate(efficient_producers,sK4_skl(X0)),growth_rate(first_movers,sK4_skl(X0))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![E,To,T]: ((~sP0_prd(T,To,E)|((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))&(sP0_prd(T,To,E)|((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 (![E,To,T]: (~sP0_prd(T,To,E)|((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))&(![E,To,T]: (sP0_prd(T,To,E)|((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|subpopulations(first_movers,efficient_producers,X2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|greater_or_equal(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|~greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sK2_skl(sK3_skl)),growth_rate(first_movers,sK2_skl(sK3_skl)))|greater(sK4_skl(sK2_skl(sK3_skl)),sK2_skl(sK3_skl))|~environment(sK3_skl)|~stable(sK3_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f14])).
% 0.13/0.39 fof(f30,definition,(
% 0.13/0.39 sQ0_spl <=> (greater(growth_rate(efficient_producers,sK2_skl(sK3_skl)),growth_rate(first_movers,sK2_skl(sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f33,definition,(
% 0.13/0.39 sQ1_spl <=> (greater(sK4_skl(sK2_skl(sK3_skl)),sK2_skl(sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f36,definition,(
% 0.13/0.39 sQ2_spl <=> (environment(sK3_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 ~environment(sK3_skl)|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f36])).
% 0.13/0.39 fof(f39,definition,(
% 0.13/0.39 sQ3_spl <=> (stable(sK3_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ~stable(sK3_skl)|sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f39])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f29,f30,f33,f36,f39])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 $false|sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f41,f19])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f43])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 $false|sQ2_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f38,f18])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 sQ2_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f45])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sK2_skl(sK3_skl)),growth_rate(first_movers,sK2_skl(sK3_skl)))|subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK2_skl(sK3_skl)))|~environment(sK3_skl)|~stable(sK3_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f14])).
% 0.13/0.39 fof(f49,definition,(
% 0.13/0.39 sQ4_spl <=> (subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK2_skl(sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 sQ0_spl|sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f30,f49,f36,f39])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sK3_skl,X0)|sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)|in_environment(sK3_skl,sK1_skl(sK3_skl)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f9,f18])).
% 0.13/0.39 fof(f54,definition,(
% 0.13/0.39 ![X0]: (sQ5_spl <=> (~in_environment(sK3_skl,X0)|sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sK3_skl,X0)|sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)|~sQ5_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f54])).
% 0.13/0.39 fof(f57,definition,(
% 0.13/0.39 sQ6_spl <=> (in_environment(sK3_skl,sK1_skl(sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 in_environment(sK3_skl,sK1_skl(sK3_skl))|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f57])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 sQ5_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f53,f54,f57])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sK3_skl,X0)|greater_or_equal(sK0_skl(X0,sK3_skl),X0)|~sQ5_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f55,f26])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sK3_skl,sK2_skl(X0))|~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,sK0_skl(sK2_skl(X0),sK3_skl))|greater(growth_rate(efficient_producers,sK0_skl(sK2_skl(X0),sK3_skl)),growth_rate(first_movers,sK0_skl(sK2_skl(X0),sK3_skl)))|~sQ5_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f61,f15])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~in_environment(sK3_skl,sK2_skl(X0))|~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,sK0_skl(sK2_skl(X0),sK3_skl))|~sP0_prd(sK0_skl(sK2_skl(X0),sK3_skl),X1,X2)|~sQ5_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f62,f27])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(sK3_skl)|~stable(sK3_skl)|~subpopulations(first_movers,efficient_producers,sK3_skl,sK0_skl(sK2_skl(sK3_skl),sK3_skl))|~sP0_prd(sK0_skl(sK2_skl(sK3_skl),sK3_skl),X0,X1)|~environment(sK3_skl)|~stable(sK3_skl)|~sQ5_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f63,f14])).
% 0.13/0.39 fof(f65,definition,(
% 0.13/0.39 sQ7_spl <=> (subpopulations(first_movers,efficient_producers,sK3_skl,sK0_skl(sK2_skl(sK3_skl),sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 ~subpopulations(first_movers,efficient_producers,sK3_skl,sK0_skl(sK2_skl(sK3_skl),sK3_skl))|sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f65])).
% 0.13/0.39 fof(f68,definition,(
% 0.13/0.39 ![X0,X1]: (sQ8_spl <=> (~sP0_prd(sK0_skl(sK2_skl(sK3_skl),sK3_skl),X0,X1)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1]: (~sP0_prd(sK0_skl(sK2_skl(sK3_skl),sK3_skl),X0,X1)|~sQ8_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f68])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ3_spl|~sQ7_spl|sQ8_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f64,f36,f39,f65,f68,f54])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl)))|subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK1_skl(sK3_skl)))|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f58,f20])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl)))|greater(sK4_skl(sK1_skl(sK3_skl)),sK1_skl(sK3_skl))|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f58,f21])).
% 0.13/0.39 fof(f74,definition,(
% 0.13/0.39 sQ9_spl <=> (greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl)))|~sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f74])).
% 0.13/0.39 fof(f77,definition,(
% 0.13/0.39 sQ10_spl <=> (subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK1_skl(sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 sQ9_spl|sQ10_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f72,f74,f77,f57])).
% 0.13/0.39 fof(f81,definition,(
% 0.13/0.39 sQ11_spl <=> (greater(sK4_skl(sK1_skl(sK3_skl)),sK1_skl(sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 greater(sK4_skl(sK1_skl(sK3_skl)),sK1_skl(sK3_skl))|~sQ11_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 sQ9_spl|sQ11_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f73,f74,f81,f57])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 ![X0]: (~environment(sK3_skl)|~in_environment(sK3_skl,X0)|sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)|~subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK1_skl(sK3_skl)))|greater(growth_rate(efficient_producers,sK4_skl(sK1_skl(sK3_skl))),growth_rate(first_movers,sK4_skl(sK1_skl(sK3_skl))))|~sQ11_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f82,f11])).
% 0.13/0.39 fof(f86,definition,(
% 0.13/0.39 sQ12_spl <=> (greater(growth_rate(efficient_producers,sK4_skl(sK1_skl(sK3_skl))),growth_rate(first_movers,sK4_skl(sK1_skl(sK3_skl)))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f87,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sK4_skl(sK1_skl(sK3_skl))),growth_rate(first_movers,sK4_skl(sK1_skl(sK3_skl))))|~sQ12_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f86])).
% 0.13/0.39 fof(f89,plain,(
% 0.13/0.39 ~sQ2_spl|sQ5_spl|~sQ10_spl|sQ12_spl|~sQ11_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f85,f36,f54,f77,f86,f81])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 greater_or_equal(sK0_skl(sK2_skl(sK3_skl),sK3_skl),sK2_skl(sK3_skl))|~environment(sK3_skl)|~stable(sK3_skl)|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f61,f14])).
% 0.13/0.39 fof(f91,definition,(
% 0.13/0.39 sQ13_spl <=> (greater_or_equal(sK0_skl(sK2_skl(sK3_skl),sK3_skl),sK2_skl(sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 greater_or_equal(sK0_skl(sK2_skl(sK3_skl),sK3_skl),sK2_skl(sK3_skl))|~sQ13_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 sQ13_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f90,f91,f36,f39,f54])).
% 0.13/0.39 fof(f99,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~stable(sK3_skl)|~subpopulations(first_movers,efficient_producers,sK3_skl,sK0_skl(sK2_skl(sK3_skl),sK3_skl))|greater(growth_rate(efficient_producers,sK0_skl(sK2_skl(sK3_skl),sK3_skl)),growth_rate(first_movers,sK0_skl(sK2_skl(sK3_skl),sK3_skl)))|~sQ13_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f92,f15])).
% 0.13/0.39 fof(f101,definition,(
% 0.13/0.39 sQ14_spl <=> (greater(growth_rate(efficient_producers,sK0_skl(sK2_skl(sK3_skl),sK3_skl)),growth_rate(first_movers,sK0_skl(sK2_skl(sK3_skl),sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ3_spl|~sQ7_spl|sQ14_spl|~sQ13_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f99,f36,f39,f65,f101,f91])).
% 0.13/0.39 fof(f109,plain,(
% 0.13/0.39 ![X0]: (~environment(sK3_skl)|~in_environment(sK3_skl,X0)|sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)|~sQ9_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f75,f10])).
% 0.13/0.39 fof(f111,plain,(
% 0.13/0.39 ~sQ2_spl|sQ5_spl|~sQ9_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f109,f36,f54,f74])).
% 0.13/0.39 fof(f114,plain,(
% 0.13/0.39 ~in_environment(sK3_skl,sK2_skl(sK3_skl))|~sQ8_spl|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f69,f55])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~stable(sK3_skl)|~sQ8_spl|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f114,f14])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ3_spl|~sQ8_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f115,f36,f39,f68,f54])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 ![X0]: (~sP0_prd(sK0_skl(sK2_skl(sK3_skl),sK3_skl),X0,sK3_skl)|sQ7_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f67,f25])).
% 0.13/0.39 fof(f120,plain,(
% 0.13/0.39 ~in_environment(sK3_skl,sK2_skl(sK3_skl))|sQ7_spl|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f119,f55])).
% 0.13/0.39 fof(f121,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~stable(sK3_skl)|sQ7_spl|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f120,f14])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ3_spl|sQ7_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f121,f36,f39,f65,f54])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 ~in_environment(sK3_skl,sK1_skl(sK3_skl))|greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl)))|~sQ12_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f87,f22])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 ~sQ6_spl|sQ9_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f129,f57,f74,f86])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f42,f44,f46,f52,f60,f71,f80,f84,f89,f94,f104,f111,f116,f122,f131])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.049682 seconds
% 0.13/0.41 % CPU time: 0.118457 seconds
% 0.13/0.41 % Total memory used: 17.385 MB
% 0.13/0.41 % Net memory used: 16.988 MB
%------------------------------------------------------------------------------