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 v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Theorem 0.16s 0.32s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:08:57 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 0.16/0.32 % Refutation found
% 0.16/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.32 fof(f1,axiom,(
% 0.16/0.32 (! [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)) ) )) )) )),
% 0.16/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.32 fof(f2,hypothesis,(
% 0.16/0.32 (! [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) ) )),
% 0.16/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.32 fof(f3,hypothesis,(
% 0.16/0.32 (! [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)) ) )) )) )),
% 0.16/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.32 fof(f4,conjecture,(
% 0.16/0.32 (! [E] :( ( environment(E)& stable(E) )=> in_environment(E,critical_point(E)) ) )),
% 0.16/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.32 fof(f5,negated_conjecture,(
% 0.16/0.32 ~((! [E] :( ( environment(E)& stable(E) )=> in_environment(E,critical_point(E)) ) ))),
% 0.16/0.32 inference(negated_conjecture,[status(cth)],[f4])).
% 0.16/0.32 fof(f6,plain,(
% 0.16/0.32 ![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)))))))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.16/0.32 fof(f7,plain,(
% 0.16/0.32 ![E,To,T]: (pd0_0(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))))),
% 0.16/0.32 introduced(predicate_definition,[f6])).
% 0.16/0.32 fof(f8,plain,(
% 0.16/0.32 ![E]: ((~environment(E)|(![To]: (~in_environment(E,To)|(?[T]: pd0_0(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)))))))),
% 0.16/0.32 inference(formula_renaming,[status(thm)],[f6,f7])).
% 0.16/0.32 fof(f9,plain,(
% 0.16/0.32 ![E]: ((~environment(E)|(![To]: (~in_environment(E,To)|pd0_0(sk0_0(To,E),To,E))))|((in_environment(E,sk0_1(E))&~greater(growth_rate(efficient_producers,sk0_1(E)),growth_rate(first_movers,sk0_1(E))))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,sk0_1(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.16/0.32 inference(skolemization,[status(esa)],[f8])).
% 0.16/0.32 fof(f10,plain,(
% 0.16/0.32 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|pd0_0(sk0_0(X1,X0),X1,X0)|in_environment(X0,sk0_1(X0)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.32 fof(f11,plain,(
% 0.16/0.32 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|pd0_0(sk0_0(X1,X0),X1,X0)|~greater(growth_rate(efficient_producers,sk0_1(X0)),growth_rate(first_movers,sk0_1(X0))))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.32 fof(f12,plain,(
% 0.16/0.32 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|pd0_0(sk0_0(X1,X0),X1,X0)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk0_1(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.32 fof(f13,plain,(
% 0.16/0.32 ![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))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.16/0.32 fof(f14,plain,(
% 0.16/0.32 ![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,sk0_2(To,E))&greater(sk0_2(To,E),To))&~greater(growth_rate(efficient_producers,sk0_2(To,E)),growth_rate(first_movers,sk0_2(To,E)))))|To=critical_point(E))),
% 0.16/0.32 inference(skolemization,[status(esa)],[f13])).
% 0.16/0.32 fof(f15,plain,(
% 0.16/0.32 ![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,sk0_2(X1,X0))|X1=critical_point(X0))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.32 fof(f16,plain,(
% 0.16/0.32 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|greater(sk0_2(X1,X0),X1)|X1=critical_point(X0))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.32 fof(f17,plain,(
% 0.16/0.32 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk0_2(X1,X0)),growth_rate(first_movers,sk0_2(X1,X0)))|X1=critical_point(X0))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.32 fof(f18,plain,(
% 0.16/0.32 ![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)))))))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.16/0.32 fof(f19,plain,(
% 0.16/0.32 ![E]: ((~environment(E)|~stable(E))|(in_environment(E,sk0_3(E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sk0_3(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.16/0.32 inference(skolemization,[status(esa)],[f18])).
% 0.16/0.32 fof(f20,plain,(
% 0.16/0.32 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk0_3(X0)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.32 fof(f21,plain,(
% 0.16/0.32 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk0_3(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.32 fof(f22,plain,(
% 0.16/0.32 (?[E]: ((environment(E)&stable(E))&~in_environment(E,critical_point(E))))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.16/0.32 fof(f23,plain,(
% 0.16/0.32 ((environment(sk0_4)&stable(sk0_4))&~in_environment(sk0_4,critical_point(sk0_4)))),
% 0.16/0.32 inference(skolemization,[status(esa)],[f22])).
% 0.16/0.32 fof(f24,plain,(
% 0.16/0.32 environment(sk0_4)),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.32 fof(f25,plain,(
% 0.16/0.32 stable(sk0_4)),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.32 fof(f26,plain,(
% 0.16/0.32 ~in_environment(sk0_4,critical_point(sk0_4))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.32 fof(f27,plain,(
% 0.16/0.32 ![E,To,T]: (~pd0_0(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))))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.16/0.32 fof(f28,plain,(
% 0.16/0.32 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|subpopulations(first_movers,efficient_producers,X2,X0))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.32 fof(f29,plain,(
% 0.16/0.32 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|greater_or_equal(X0,X1))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.32 fof(f30,plain,(
% 0.16/0.32 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.32 fof(f31,plain,(
% 0.16/0.32 spl0_0 <=> environment(sk0_4)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f33,plain,(
% 0.16/0.32 ~environment(sk0_4)|spl0_0),
% 0.16/0.32 inference(component_clause,[status(thm)],[f31])).
% 0.16/0.32 fof(f34,plain,(
% 0.16/0.32 spl0_1 <=> in_environment(sk0_4,sk0_3(sk0_4))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f35,plain,(
% 0.16/0.32 in_environment(sk0_4,sk0_3(sk0_4))|~spl0_1),
% 0.16/0.32 inference(component_clause,[status(thm)],[f34])).
% 0.16/0.32 fof(f37,plain,(
% 0.16/0.32 ~environment(sk0_4)|in_environment(sk0_4,sk0_3(sk0_4))),
% 0.16/0.32 inference(resolution,[status(thm)],[f20,f25])).
% 0.16/0.32 fof(f38,plain,(
% 0.16/0.32 ~spl0_0|spl0_1),
% 0.16/0.32 inference(split_clause,[status(thm)],[f37,f31,f34])).
% 0.16/0.32 fof(f39,plain,(
% 0.16/0.32 $false|spl0_0),
% 0.16/0.32 inference(forward_subsumption_resolution,[status(thm)],[f33,f24])).
% 0.16/0.32 fof(f40,plain,(
% 0.16/0.32 spl0_0),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f39])).
% 0.16/0.32 fof(f41,plain,(
% 0.16/0.32 spl0_2 <=> pd0_0(sk0_0(sk0_3(sk0_4),sk0_4),sk0_3(sk0_4),sk0_4)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f42,plain,(
% 0.16/0.32 pd0_0(sk0_0(sk0_3(sk0_4),sk0_4),sk0_3(sk0_4),sk0_4)|~spl0_2),
% 0.16/0.32 inference(component_clause,[status(thm)],[f41])).
% 0.16/0.32 fof(f43,plain,(
% 0.16/0.32 ~pd0_0(sk0_0(sk0_3(sk0_4),sk0_4),sk0_3(sk0_4),sk0_4)|spl0_2),
% 0.16/0.32 inference(component_clause,[status(thm)],[f41])).
% 0.16/0.32 fof(f44,plain,(
% 0.16/0.32 spl0_3 <=> in_environment(sk0_4,sk0_1(sk0_4))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f45,plain,(
% 0.16/0.32 in_environment(sk0_4,sk0_1(sk0_4))|~spl0_3),
% 0.16/0.32 inference(component_clause,[status(thm)],[f44])).
% 0.16/0.32 fof(f47,plain,(
% 0.16/0.32 ~environment(sk0_4)|pd0_0(sk0_0(sk0_3(sk0_4),sk0_4),sk0_3(sk0_4),sk0_4)|in_environment(sk0_4,sk0_1(sk0_4))|~spl0_1),
% 0.16/0.32 inference(resolution,[status(thm)],[f35,f10])).
% 0.16/0.32 fof(f48,plain,(
% 0.16/0.32 ~spl0_0|spl0_2|spl0_3|~spl0_1),
% 0.16/0.32 inference(split_clause,[status(thm)],[f47,f31,f41,f44,f34])).
% 0.16/0.32 fof(f49,plain,(
% 0.16/0.32 spl0_4 <=> greater(growth_rate(efficient_producers,sk0_3(sk0_4)),growth_rate(first_movers,sk0_3(sk0_4)))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f52,plain,(
% 0.16/0.32 spl0_5 <=> subpopulations(first_movers,efficient_producers,sk0_4,sk0_2(sk0_3(sk0_4),sk0_4))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f55,plain,(
% 0.16/0.32 spl0_6 <=> sk0_3(sk0_4)=critical_point(sk0_4)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f56,plain,(
% 0.16/0.32 sk0_3(sk0_4)=critical_point(sk0_4)|~spl0_6),
% 0.16/0.32 inference(component_clause,[status(thm)],[f55])).
% 0.16/0.32 fof(f58,plain,(
% 0.16/0.32 ~environment(sk0_4)|greater(growth_rate(efficient_producers,sk0_3(sk0_4)),growth_rate(first_movers,sk0_3(sk0_4)))|subpopulations(first_movers,efficient_producers,sk0_4,sk0_2(sk0_3(sk0_4),sk0_4))|sk0_3(sk0_4)=critical_point(sk0_4)|~spl0_1),
% 0.16/0.32 inference(resolution,[status(thm)],[f35,f15])).
% 0.16/0.32 fof(f59,plain,(
% 0.16/0.32 ~spl0_0|spl0_4|spl0_5|spl0_6|~spl0_1),
% 0.16/0.32 inference(split_clause,[status(thm)],[f58,f31,f49,f52,f55,f34])).
% 0.16/0.32 fof(f60,plain,(
% 0.16/0.32 spl0_7 <=> greater(sk0_2(sk0_3(sk0_4),sk0_4),sk0_3(sk0_4))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f63,plain,(
% 0.16/0.32 ~environment(sk0_4)|greater(growth_rate(efficient_producers,sk0_3(sk0_4)),growth_rate(first_movers,sk0_3(sk0_4)))|greater(sk0_2(sk0_3(sk0_4),sk0_4),sk0_3(sk0_4))|sk0_3(sk0_4)=critical_point(sk0_4)|~spl0_1),
% 0.16/0.32 inference(resolution,[status(thm)],[f35,f16])).
% 0.16/0.32 fof(f64,plain,(
% 0.16/0.32 ~spl0_0|spl0_4|spl0_7|spl0_6|~spl0_1),
% 0.16/0.32 inference(split_clause,[status(thm)],[f63,f31,f49,f60,f55,f34])).
% 0.16/0.32 fof(f65,plain,(
% 0.16/0.32 in_environment(sk0_4,critical_point(sk0_4))|~spl0_6|~spl0_1),
% 0.16/0.32 inference(backward_demodulation,[status(thm)],[f56,f35])).
% 0.16/0.32 fof(f66,plain,(
% 0.16/0.32 $false|~spl0_6|~spl0_1),
% 0.16/0.32 inference(forward_subsumption_resolution,[status(thm)],[f65,f26])).
% 0.16/0.32 fof(f67,plain,(
% 0.16/0.32 ~spl0_6|~spl0_1),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f66])).
% 0.16/0.32 fof(f74,plain,(
% 0.16/0.32 greater_or_equal(sk0_0(sk0_3(sk0_4),sk0_4),sk0_3(sk0_4))|~spl0_2),
% 0.16/0.32 inference(resolution,[status(thm)],[f42,f29])).
% 0.16/0.32 fof(f75,plain,(
% 0.16/0.32 spl0_8 <=> stable(sk0_4)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f77,plain,(
% 0.16/0.32 ~stable(sk0_4)|spl0_8),
% 0.16/0.32 inference(component_clause,[status(thm)],[f75])).
% 0.16/0.32 fof(f78,plain,(
% 0.16/0.32 spl0_9 <=> subpopulations(first_movers,efficient_producers,sk0_4,sk0_0(sk0_3(sk0_4),sk0_4))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f80,plain,(
% 0.16/0.32 ~subpopulations(first_movers,efficient_producers,sk0_4,sk0_0(sk0_3(sk0_4),sk0_4))|spl0_9),
% 0.16/0.32 inference(component_clause,[status(thm)],[f78])).
% 0.16/0.32 fof(f81,plain,(
% 0.16/0.32 spl0_10 <=> greater(growth_rate(efficient_producers,sk0_0(sk0_3(sk0_4),sk0_4)),growth_rate(first_movers,sk0_0(sk0_3(sk0_4),sk0_4)))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f82,plain,(
% 0.16/0.32 greater(growth_rate(efficient_producers,sk0_0(sk0_3(sk0_4),sk0_4)),growth_rate(first_movers,sk0_0(sk0_3(sk0_4),sk0_4)))|~spl0_10),
% 0.16/0.32 inference(component_clause,[status(thm)],[f81])).
% 0.16/0.32 fof(f84,plain,(
% 0.16/0.32 ~environment(sk0_4)|~stable(sk0_4)|~subpopulations(first_movers,efficient_producers,sk0_4,sk0_0(sk0_3(sk0_4),sk0_4))|greater(growth_rate(efficient_producers,sk0_0(sk0_3(sk0_4),sk0_4)),growth_rate(first_movers,sk0_0(sk0_3(sk0_4),sk0_4)))|~spl0_2),
% 0.16/0.32 inference(resolution,[status(thm)],[f74,f21])).
% 0.16/0.32 fof(f85,plain,(
% 0.16/0.32 ~spl0_0|~spl0_8|~spl0_9|spl0_10|~spl0_2),
% 0.16/0.32 inference(split_clause,[status(thm)],[f84,f31,f75,f78,f81,f41])).
% 0.16/0.32 fof(f91,plain,(
% 0.16/0.32 spl0_12 <=> greater(growth_rate(efficient_producers,sk0_1(sk0_4)),growth_rate(first_movers,sk0_1(sk0_4)))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f92,plain,(
% 0.16/0.32 greater(growth_rate(efficient_producers,sk0_1(sk0_4)),growth_rate(first_movers,sk0_1(sk0_4)))|~spl0_12),
% 0.16/0.32 inference(component_clause,[status(thm)],[f91])).
% 0.16/0.32 fof(f94,plain,(
% 0.16/0.32 spl0_13 <=> subpopulations(first_movers,efficient_producers,sk0_4,sk0_2(sk0_1(sk0_4),sk0_4))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f97,plain,(
% 0.16/0.32 spl0_14 <=> sk0_1(sk0_4)=critical_point(sk0_4)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f98,plain,(
% 0.16/0.32 sk0_1(sk0_4)=critical_point(sk0_4)|~spl0_14),
% 0.16/0.32 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.32 fof(f100,plain,(
% 0.16/0.32 ~environment(sk0_4)|greater(growth_rate(efficient_producers,sk0_1(sk0_4)),growth_rate(first_movers,sk0_1(sk0_4)))|subpopulations(first_movers,efficient_producers,sk0_4,sk0_2(sk0_1(sk0_4),sk0_4))|sk0_1(sk0_4)=critical_point(sk0_4)|~spl0_3),
% 0.16/0.32 inference(resolution,[status(thm)],[f45,f15])).
% 0.16/0.32 fof(f101,plain,(
% 0.16/0.32 ~spl0_0|spl0_12|spl0_13|spl0_14|~spl0_3),
% 0.16/0.32 inference(split_clause,[status(thm)],[f100,f31,f91,f94,f97,f44])).
% 0.16/0.32 fof(f102,plain,(
% 0.16/0.32 spl0_15 <=> greater(sk0_2(sk0_1(sk0_4),sk0_4),sk0_1(sk0_4))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f103,plain,(
% 0.16/0.32 greater(sk0_2(sk0_1(sk0_4),sk0_4),sk0_1(sk0_4))|~spl0_15),
% 0.16/0.32 inference(component_clause,[status(thm)],[f102])).
% 0.16/0.32 fof(f105,plain,(
% 0.16/0.32 ~environment(sk0_4)|greater(growth_rate(efficient_producers,sk0_1(sk0_4)),growth_rate(first_movers,sk0_1(sk0_4)))|greater(sk0_2(sk0_1(sk0_4),sk0_4),sk0_1(sk0_4))|sk0_1(sk0_4)=critical_point(sk0_4)|~spl0_3),
% 0.16/0.32 inference(resolution,[status(thm)],[f45,f16])).
% 0.16/0.32 fof(f106,plain,(
% 0.16/0.32 ~spl0_0|spl0_12|spl0_15|spl0_14|~spl0_3),
% 0.16/0.32 inference(split_clause,[status(thm)],[f105,f31,f91,f102,f97,f44])).
% 0.16/0.32 fof(f107,plain,(
% 0.16/0.32 $false|spl0_8),
% 0.16/0.32 inference(forward_subsumption_resolution,[status(thm)],[f77,f25])).
% 0.16/0.32 fof(f108,plain,(
% 0.16/0.32 spl0_8),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f107])).
% 0.16/0.32 fof(f109,plain,(
% 0.16/0.32 in_environment(sk0_4,critical_point(sk0_4))|~spl0_14|~spl0_3),
% 0.16/0.32 inference(backward_demodulation,[status(thm)],[f98,f45])).
% 0.16/0.32 fof(f110,plain,(
% 0.16/0.32 $false|~spl0_14|~spl0_3),
% 0.16/0.32 inference(forward_subsumption_resolution,[status(thm)],[f109,f26])).
% 0.16/0.32 fof(f111,plain,(
% 0.16/0.32 ~spl0_14|~spl0_3),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f110])).
% 0.16/0.32 fof(f118,plain,(
% 0.16/0.32 ![X0]: (~pd0_0(sk0_0(sk0_3(sk0_4),sk0_4),X0,sk0_4)|spl0_9)),
% 0.16/0.32 inference(resolution,[status(thm)],[f80,f28])).
% 0.16/0.32 fof(f120,plain,(
% 0.16/0.32 spl0_16 <=> ~in_environment(sk0_4,X0)|pd0_0(sk0_0(X0,sk0_4),X0,sk0_4)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f121,plain,(
% 0.16/0.32 ![X0]: (~in_environment(sk0_4,X0)|pd0_0(sk0_0(X0,sk0_4),X0,sk0_4)|~spl0_16)),
% 0.16/0.32 inference(component_clause,[status(thm)],[f120])).
% 0.16/0.32 fof(f123,plain,(
% 0.16/0.32 ![X0]: (~environment(sk0_4)|~in_environment(sk0_4,X0)|pd0_0(sk0_0(X0,sk0_4),X0,sk0_4)|~spl0_12)),
% 0.16/0.32 inference(resolution,[status(thm)],[f92,f11])).
% 0.16/0.32 fof(f124,plain,(
% 0.16/0.32 ~spl0_0|spl0_16|~spl0_12),
% 0.16/0.32 inference(split_clause,[status(thm)],[f123,f31,f120,f91])).
% 0.16/0.32 fof(f131,plain,(
% 0.16/0.32 ![X0,X1]: (~pd0_0(sk0_0(sk0_3(sk0_4),sk0_4),X0,X1)|~spl0_10)),
% 0.16/0.32 inference(resolution,[status(thm)],[f82,f30])).
% 0.16/0.32 fof(f135,plain,(
% 0.16/0.32 ~in_environment(sk0_4,sk0_3(sk0_4))|spl0_2|~spl0_16),
% 0.17/0.54 inference(resolution,[status(thm)],[f43,f121])).
% 0.17/0.54 fof(f136,plain,(
% 0.17/0.54 $false|~spl0_1|spl0_2|~spl0_16),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f135,f35])).
% 0.17/0.54 fof(f137,plain,(
% 0.17/0.54 ~spl0_1|spl0_2|~spl0_16),
% 0.17/0.54 inference(contradiction_clause,[status(thm)],[f136])).
% 0.17/0.54 fof(f138,plain,(
% 0.17/0.54 spl0_17 <=> greater(growth_rate(efficient_producers,sk0_2(sk0_1(sk0_4),sk0_4)),growth_rate(first_movers,sk0_2(sk0_1(sk0_4),sk0_4)))),
% 0.17/0.54 introduced(split_symbol_definition)).
% 0.17/0.54 fof(f139,plain,(
% 0.17/0.54 greater(growth_rate(efficient_producers,sk0_2(sk0_1(sk0_4),sk0_4)),growth_rate(first_movers,sk0_2(sk0_1(sk0_4),sk0_4)))|~spl0_17),
% 0.17/0.54 inference(component_clause,[status(thm)],[f138])).
% 0.17/0.54 fof(f141,plain,(
% 0.17/0.54 ![X0]: (~environment(sk0_4)|~in_environment(sk0_4,X0)|pd0_0(sk0_0(X0,sk0_4),X0,sk0_4)|~subpopulations(first_movers,efficient_producers,sk0_4,sk0_2(sk0_1(sk0_4),sk0_4))|greater(growth_rate(efficient_producers,sk0_2(sk0_1(sk0_4),sk0_4)),growth_rate(first_movers,sk0_2(sk0_1(sk0_4),sk0_4)))|~spl0_15)),
% 0.17/0.54 inference(resolution,[status(thm)],[f103,f12])).
% 0.17/0.54 fof(f142,plain,(
% 0.17/0.54 ~spl0_0|spl0_16|~spl0_13|spl0_17|~spl0_15),
% 0.17/0.54 inference(split_clause,[status(thm)],[f141,f31,f120,f94,f138,f102])).
% 0.17/0.54 fof(f145,plain,(
% 0.17/0.54 $false|spl0_9|~spl0_2),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f42,f118])).
% 0.17/0.54 fof(f146,plain,(
% 0.17/0.54 spl0_9|~spl0_2),
% 0.17/0.54 inference(contradiction_clause,[status(thm)],[f145])).
% 0.17/0.54 fof(f147,plain,(
% 0.17/0.54 ~environment(sk0_4)|greater(growth_rate(efficient_producers,sk0_1(sk0_4)),growth_rate(first_movers,sk0_1(sk0_4)))|~in_environment(sk0_4,sk0_1(sk0_4))|sk0_1(sk0_4)=critical_point(sk0_4)|~spl0_17),
% 0.17/0.54 inference(resolution,[status(thm)],[f139,f17])).
% 0.17/0.54 fof(f148,plain,(
% 0.17/0.54 ~spl0_0|spl0_12|~spl0_3|spl0_14|~spl0_17),
% 0.17/0.54 inference(split_clause,[status(thm)],[f147,f31,f91,f44,f97,f138])).
% 0.17/0.54 fof(f165,plain,(
% 0.17/0.54 $false|~spl0_10|~spl0_2),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f42,f131])).
% 0.17/0.54 fof(f166,plain,(
% 0.17/0.54 ~spl0_10|~spl0_2),
% 0.17/0.54 inference(contradiction_clause,[status(thm)],[f165])).
% 0.17/0.54 fof(f167,plain,(
% 0.17/0.54 $false),
% 0.17/0.54 inference(sat_refutation,[status(thm)],[f38,f40,f48,f59,f64,f67,f85,f101,f106,f108,f111,f124,f137,f142,f146,f148,f166])).
% 0.17/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.54 % Elapsed time: 0.011442 seconds
% 0.17/0.54 % CPU time: 0.012495 seconds
% 0.17/0.54 % Memory used: 2.944 MB
%------------------------------------------------------------------------------