%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT023+2 : 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 : n011.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 01:25:42 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 : MGT023+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 01:21:55 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % 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,To] :( ( environment(E)& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))& in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ))=> To = critical_point(E) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,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(f4,conjecture,(
% 0.13/0.38 (! [E] :( ( environment(E)& stable(E) )=> in_environment(E,critical_point(E)) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 ~((! [E] :( ( environment(E)& stable(E) )=> in_environment(E,critical_point(E)) ) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f4])).
% 0.13/0.38 fof(f6,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(f7,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(f8,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)],[f6,f7])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![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))))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl(To,E)),skolemize(To,sK1_skl(E))],[f8])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|sP0_prd(sK0_skl(X1,X0),X1,X0)|in_environment(X0,sK1_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 ![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))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ![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)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![E,To]: ((((~environment(E)|greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))|~in_environment(E,To))|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))|To=critical_point(E))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![E,To]: ((((~environment(E)|greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))|~in_environment(E,To))|((subpopulations(first_movers,efficient_producers,E,sK2_skl(To,E))&greater(sK2_skl(To,E),To))&~greater(growth_rate(efficient_producers,sK2_skl(To,E)),growth_rate(first_movers,sK2_skl(To,E)))))|To=critical_point(E))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(T,sK2_skl(To,E))],[f13])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![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,sK2_skl(X1,X0))|X1=critical_point(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|greater(sK2_skl(X1,X0),X1)|X1=critical_point(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sK2_skl(X1,X0)),growth_rate(first_movers,sK2_skl(X1,X0)))|X1=critical_point(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f18,plain,(
% 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 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![E]: ((~environment(E)|~stable(E))|(in_environment(E,sK3_skl(E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sK3_skl(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(To,sK3_skl(E))],[f18])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sK3_skl(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sK3_skl(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 (?[E]: ((environment(E)&stable(E))&~in_environment(E,critical_point(E))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ((environment(sK4_skl)&stable(sK4_skl))&~in_environment(sK4_skl,critical_point(sK4_skl)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(E,sK4_skl)],[f22])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 environment(sK4_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 stable(sK4_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ~in_environment(sK4_skl,critical_point(sK4_skl))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f27,plain,(
% 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))))&(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 inference(NNF_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f28,plain,(
% 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)))))&(![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 inference(miniscoping,[status(thm)],[f27])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|subpopulations(first_movers,efficient_producers,X2,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|greater_or_equal(X0,X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|~greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ~environment(sK4_skl)|in_environment(sK4_skl,sK3_skl(sK4_skl))),
% 0.13/0.38 inference(resolution,[status(thm)],[f20,f25])).
% 0.13/0.38 fof(f34,definition,(
% 0.13/0.38 sQ0_spl <=> (environment(sK4_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ~environment(sK4_skl)|sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f34])).
% 0.13/0.38 fof(f37,definition,(
% 0.13/0.38 sQ1_spl <=> (in_environment(sK4_skl,sK3_skl(sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 in_environment(sK4_skl,sK3_skl(sK4_skl))|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f37])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f33,f34,f37])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 $false|sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f36,f24])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f41])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 ~environment(sK4_skl)|sP0_prd(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl),sK4_skl)|in_environment(sK4_skl,sK1_skl(sK4_skl))|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f38,f10])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 ~environment(sK4_skl)|greater(growth_rate(efficient_producers,sK3_skl(sK4_skl)),growth_rate(first_movers,sK3_skl(sK4_skl)))|subpopulations(first_movers,efficient_producers,sK4_skl,sK2_skl(sK3_skl(sK4_skl),sK4_skl))|sK3_skl(sK4_skl)=critical_point(sK4_skl)|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f38,f15])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 ~environment(sK4_skl)|greater(growth_rate(efficient_producers,sK3_skl(sK4_skl)),growth_rate(first_movers,sK3_skl(sK4_skl)))|greater(sK2_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl))|sK3_skl(sK4_skl)=critical_point(sK4_skl)|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f38,f16])).
% 0.13/0.38 fof(f46,definition,(
% 0.13/0.38 sQ2_spl <=> (sP0_prd(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl),sK4_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 sP0_prd(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl),sK4_skl)|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f46])).
% 0.13/0.38 fof(f49,definition,(
% 0.13/0.38 sQ3_spl <=> (in_environment(sK4_skl,sK1_skl(sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 in_environment(sK4_skl,sK1_skl(sK4_skl))|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 ~sQ0_spl|sQ2_spl|sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f43,f34,f46,f49,f37])).
% 0.13/0.38 fof(f53,definition,(
% 0.13/0.38 sQ4_spl <=> (greater(growth_rate(efficient_producers,sK3_skl(sK4_skl)),growth_rate(first_movers,sK3_skl(sK4_skl))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f56,definition,(
% 0.13/0.38 sQ5_spl <=> (subpopulations(first_movers,efficient_producers,sK4_skl,sK2_skl(sK3_skl(sK4_skl),sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f59,definition,(
% 0.13/0.38 sQ6_spl <=> (sK3_skl(sK4_skl)=critical_point(sK4_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f60,plain,(
% 0.13/0.38 sK3_skl(sK4_skl)=critical_point(sK4_skl)|~sQ6_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 ~sQ0_spl|sQ4_spl|sQ5_spl|sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f44,f34,f53,f56,f59,f37])).
% 0.13/0.38 fof(f63,definition,(
% 0.13/0.38 sQ7_spl <=> (greater(sK2_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 ~sQ0_spl|sQ4_spl|sQ7_spl|sQ6_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f45,f34,f53,f63,f59,f37])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 ~in_environment(sK4_skl,sK3_skl(sK4_skl))|~sQ6_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f60,f26])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 $false|~sQ1_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f67,f38])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ~sQ1_spl|~sQ6_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f68])).
% 0.13/0.38 fof(f70,plain,(
% 0.13/0.38 subpopulations(first_movers,efficient_producers,sK4_skl,sK0_skl(sK3_skl(sK4_skl),sK4_skl))|~sQ2_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f47,f29])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 greater_or_equal(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl))|~sQ2_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f47,f30])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 ~environment(sK4_skl)|~stable(sK4_skl)|~greater_or_equal(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl))|greater(growth_rate(efficient_producers,sK0_skl(sK3_skl(sK4_skl),sK4_skl)),growth_rate(first_movers,sK0_skl(sK3_skl(sK4_skl),sK4_skl)))|~sQ2_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f70,f21])).
% 0.13/0.38 fof(f79,definition,(
% 0.13/0.38 sQ9_spl <=> (greater(growth_rate(efficient_producers,sK0_skl(sK3_skl(sK4_skl),sK4_skl)),growth_rate(first_movers,sK0_skl(sK3_skl(sK4_skl),sK4_skl))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 greater(growth_rate(efficient_producers,sK0_skl(sK3_skl(sK4_skl),sK4_skl)),growth_rate(first_movers,sK0_skl(sK3_skl(sK4_skl),sK4_skl)))|~sQ9_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.38 fof(f83,definition,(
% 0.13/0.38 sQ10_spl <=> (stable(sK4_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f85,plain,(
% 0.13/0.38 ~stable(sK4_skl)|sQ10_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f83])).
% 0.13/0.38 fof(f86,definition,(
% 0.13/0.38 sQ11_spl <=> (greater_or_equal(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 ~greater_or_equal(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl))|sQ11_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f86])).
% 0.13/0.38 fof(f89,plain,(
% 0.13/0.38 ~sQ0_spl|~sQ10_spl|~sQ11_spl|sQ9_spl|~sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f74,f34,f83,f86,f79,f46])).
% 0.13/0.38 fof(f90,definition,(
% 0.13/0.38 ![X0]: (sQ12_spl <=> (~in_environment(sK4_skl,X0)|sP0_prd(sK0_skl(X0,sK4_skl),X0,sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 ![X0]: (~in_environment(sK4_skl,X0)|sP0_prd(sK0_skl(X0,sK4_skl),X0,sK4_skl)|~sQ12_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f90])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 ![X0,X1]: (~sP0_prd(sK0_skl(sK3_skl(sK4_skl),sK4_skl),X0,X1)|~sQ9_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f80,f31])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 $false|~sQ9_spl|~sQ2_spl),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f47,f97])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 ~sQ9_spl|~sQ2_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f98])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 $false|sQ10_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f85,f25])).
% 0.13/0.38 fof(f101,plain,(
% 0.13/0.38 sQ10_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f100])).
% 0.13/0.38 fof(f102,plain,(
% 0.13/0.38 $false|~sQ2_spl|sQ11_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f88,f71])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 ~sQ2_spl|sQ11_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f102])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 ~environment(sK4_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK4_skl)),growth_rate(first_movers,sK1_skl(sK4_skl)))|subpopulations(first_movers,efficient_producers,sK4_skl,sK2_skl(sK1_skl(sK4_skl),sK4_skl))|sK1_skl(sK4_skl)=critical_point(sK4_skl)|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f50,f15])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 ~environment(sK4_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK4_skl)),growth_rate(first_movers,sK1_skl(sK4_skl)))|greater(sK2_skl(sK1_skl(sK4_skl),sK4_skl),sK1_skl(sK4_skl))|sK1_skl(sK4_skl)=critical_point(sK4_skl)|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f50,f16])).
% 0.13/0.38 fof(f111,definition,(
% 0.13/0.38 sQ15_spl <=> (greater(growth_rate(efficient_producers,sK1_skl(sK4_skl)),growth_rate(first_movers,sK1_skl(sK4_skl))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 greater(growth_rate(efficient_producers,sK1_skl(sK4_skl)),growth_rate(first_movers,sK1_skl(sK4_skl)))|~sQ15_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.38 fof(f114,definition,(
% 0.13/0.38 sQ16_spl <=> (subpopulations(first_movers,efficient_producers,sK4_skl,sK2_skl(sK1_skl(sK4_skl),sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 subpopulations(first_movers,efficient_producers,sK4_skl,sK2_skl(sK1_skl(sK4_skl),sK4_skl))|~sQ16_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f114])).
% 0.13/0.38 fof(f117,definition,(
% 0.13/0.38 sQ17_spl <=> (sK1_skl(sK4_skl)=critical_point(sK4_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 sK1_skl(sK4_skl)=critical_point(sK4_skl)|~sQ17_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.38 fof(f120,plain,(
% 0.13/0.38 ~sQ0_spl|sQ15_spl|sQ16_spl|sQ17_spl|~sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f105,f34,f111,f114,f117,f49])).
% 0.13/0.38 fof(f121,definition,(
% 0.13/0.38 sQ18_spl <=> (greater(sK2_skl(sK1_skl(sK4_skl),sK4_skl),sK1_skl(sK4_skl)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f124,plain,(
% 0.13/0.38 ~sQ0_spl|sQ15_spl|sQ18_spl|sQ17_spl|~sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f106,f34,f111,f121,f117,f49])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 ~in_environment(sK4_skl,sK1_skl(sK4_skl))|~sQ17_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f118,f26])).
% 0.13/0.38 fof(f127,plain,(
% 0.13/0.38 $false|~sQ3_spl|~sQ17_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f126,f50])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 ~sQ3_spl|~sQ17_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f127])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 ![X0]: (~environment(sK4_skl)|~in_environment(sK4_skl,X0)|sP0_prd(sK0_skl(X0,sK4_skl),X0,sK4_skl)|~sQ15_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f112,f11])).
% 0.13/0.38 fof(f131,plain,(
% 0.13/0.38 ~sQ0_spl|sQ12_spl|~sQ15_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f129,f34,f90,f111])).
% 0.13/0.38 fof(f133,plain,(
% 0.13/0.38 sP0_prd(sK0_skl(sK3_skl(sK4_skl),sK4_skl),sK3_skl(sK4_skl),sK4_skl)|~sQ12_spl|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f91,f38])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f133,f46,f90,f37])).
% 0.13/0.38 fof(f137,plain,(
% 0.13/0.38 ![X0]: (~environment(sK4_skl)|~in_environment(sK4_skl,X0)|sP0_prd(sK0_skl(X0,sK4_skl),X0,sK4_skl)|~greater(sK2_skl(sK1_skl(sK4_skl),sK4_skl),sK1_skl(sK4_skl))|greater(growth_rate(efficient_producers,sK2_skl(sK1_skl(sK4_skl),sK4_skl)),growth_rate(first_movers,sK2_skl(sK1_skl(sK4_skl),sK4_skl)))|~sQ16_spl)),
% 0.13/0.38 inference(resolution,[status(thm)],[f115,f12])).
% 0.13/0.38 fof(f141,definition,(
% 0.13/0.38 sQ20_spl <=> (greater(growth_rate(efficient_producers,sK2_skl(sK1_skl(sK4_skl),sK4_skl)),growth_rate(first_movers,sK2_skl(sK1_skl(sK4_skl),sK4_skl))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f142,plain,(
% 0.13/0.38 greater(growth_rate(efficient_producers,sK2_skl(sK1_skl(sK4_skl),sK4_skl)),growth_rate(first_movers,sK2_skl(sK1_skl(sK4_skl),sK4_skl)))|~sQ20_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.38 fof(f149,plain,(
% 0.13/0.38 ~sQ0_spl|sQ12_spl|~sQ18_spl|sQ20_spl|~sQ16_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f137,f34,f90,f121,f141,f114])).
% 0.13/0.38 fof(f150,plain,(
% 0.13/0.38 ~environment(sK4_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK4_skl)),growth_rate(first_movers,sK1_skl(sK4_skl)))|~in_environment(sK4_skl,sK1_skl(sK4_skl))|sK1_skl(sK4_skl)=critical_point(sK4_skl)|~sQ20_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f142,f17])).
% 0.13/0.38 fof(f152,plain,(
% 0.13/0.38 ~sQ0_spl|sQ15_spl|~sQ3_spl|sQ17_spl|~sQ20_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f150,f34,f111,f49,f117,f141])).
% 0.13/0.38 fof(f153,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f40,f42,f52,f62,f66,f69,f89,f99,f101,f103,f120,f124,f128,f131,f134,f149,f152])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.041175 seconds
% 0.13/0.40 % CPU time: 0.116711 seconds
% 0.13/0.40 % Total memory used: 53.142 MB
% 0.13/0.40 % Net memory used: 52.910 MB
%------------------------------------------------------------------------------