TSTP Solution File: MGT026+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT026+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:21:13 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MGT026+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:05:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (! [E,S1,S2,T] :( ( environment(E)& subpopulations(S1,S2,E,T)& greater(growth_rate(S2,T),growth_rate(S1,T)) )=> selection_favors(S2,S1,T) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (! [E,S1,S2,T] :( ( environment(E)& subpopulation(S1,E,T)& subpopulation(S2,E,T)& greater(cardinality_at_time(S1,T),zero)& cardinality_at_time(S2,T) = zero )=> selection_favors(S1,S2,T) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater(cardinality_at_time(first_movers,T),zero)& greater(cardinality_at_time(efficient_producers,T),zero) )=> subpopulations(first_movers,efficient_producers,E,T) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> greater_or_equal(cardinality_at_time(first_movers,T),zero) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> ( subpopulation(first_movers,E,T)& subpopulation(efficient_producers,E,T) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (! [E] :( environment(E)=> greater_or_equal(critical_point(E),appear(efficient_producers,E)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (! [X,Y,Z] :( ( greater(X,Y)& greater(Y,Z) )=> greater(X,Z) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 (! [X,Y] :( greater_or_equal(X,Y)<=> ( greater(X,Y)| X = Y ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,hypothesis,(
% 0.13/0.36 (! [E,Tc] :( ( environment(E)& Tc = critical_point(E) )=> ( ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,Tc) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,hypothesis,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater_or_equal(T,appear(efficient_producers,E)) )=> greater(cardinality_at_time(efficient_producers,T),zero) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,conjecture,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater(T,critical_point(E)) )=> selection_favors(efficient_producers,first_movers,T) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f12,negated_conjecture,(
% 0.13/0.36 ~((! [E,T] :( ( environment(E)& in_environment(E,T)& greater(T,critical_point(E)) )=> selection_favors(efficient_producers,first_movers,T) ) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f11])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 ![E,S1,S2,T]: (((~environment(E)|~subpopulations(S1,S2,E,T))|~greater(growth_rate(S2,T),growth_rate(S1,T)))|selection_favors(S2,S1,T))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ![S1,S2,T]: (((![E]: (~environment(E)|~subpopulations(S1,S2,E,T)))|~greater(growth_rate(S2,T),growth_rate(S1,T)))|selection_favors(S2,S1,T))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f13])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~greater(growth_rate(X2,X3),growth_rate(X1,X3))|selection_favors(X2,X1,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![E,S1,S2,T]: (((((~environment(E)|~subpopulation(S1,E,T))|~subpopulation(S2,E,T))|~greater(cardinality_at_time(S1,T),zero))|~cardinality_at_time(S2,T)=zero)|selection_favors(S1,S2,T))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 ![S1,S2,T]: ((((![E]: ((~environment(E)|~subpopulation(S1,E,T))|~subpopulation(S2,E,T)))|~greater(cardinality_at_time(S1,T),zero))|~cardinality_at_time(S2,T)=zero)|selection_favors(S1,S2,T))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f16])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulation(X1,X0,X2)|~subpopulation(X3,X0,X2)|~greater(cardinality_at_time(X1,X2),zero)|~cardinality_at_time(X3,X2)=zero|selection_favors(X1,X3,X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 ![E,T]: ((((~environment(E)|~in_environment(E,T))|~greater(cardinality_at_time(first_movers,T),zero))|~greater(cardinality_at_time(efficient_producers,T),zero))|subpopulations(first_movers,efficient_producers,E,T))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(cardinality_at_time(first_movers,X1),zero)|~greater(cardinality_at_time(efficient_producers,X1),zero)|subpopulations(first_movers,efficient_producers,X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 ![E,T]: ((~environment(E)|~in_environment(E,T))|greater_or_equal(cardinality_at_time(first_movers,T),zero))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![T]: ((![E]: (~environment(E)|~in_environment(E,T)))|greater_or_equal(cardinality_at_time(first_movers,T),zero))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f21])).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(cardinality_at_time(first_movers,X1),zero))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 ![E,T]: ((~environment(E)|~in_environment(E,T))|(subpopulation(first_movers,E,T)&subpopulation(efficient_producers,E,T)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(first_movers,X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(efficient_producers,X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![E]: (~environment(E)|greater_or_equal(critical_point(E),appear(efficient_producers,E)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|greater_or_equal(critical_point(X0),appear(efficient_producers,X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![X,Y,Z]: ((~greater(X,Y)|~greater(Y,Z))|greater(X,Z))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![X,Z]: ((![Y]: (~greater(X,Y)|~greater(Y,Z)))|greater(X,Z))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f29])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~greater(X0,X1)|~greater(X1,X2)|greater(X0,X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ![X,Y]: ((~greater_or_equal(X,Y)|(greater(X,Y)|X=Y))&(greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 (![X,Y]: (~greater_or_equal(X,Y)|(greater(X,Y)|X=Y)))&(![X,Y]: (greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f32])).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 ![X0,X1]: (greater_or_equal(X0,X1)|~greater(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.36 fof(f37,plain,(
% 0.13/0.36 ![E,Tc]: ((~environment(E)|~Tc=critical_point(E))|(~greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,Tc))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~X1=critical_point(X0)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,X1)|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.36 fof(f40,plain,(
% 0.13/0.36 ![E,T]: (((~environment(E)|~in_environment(E,T))|~greater_or_equal(T,appear(efficient_producers,E)))|greater(cardinality_at_time(efficient_producers,T),zero))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.13/0.36 fof(f41,plain,(
% 0.13/0.36 ![T]: ((![E]: ((~environment(E)|~in_environment(E,T))|~greater_or_equal(T,appear(efficient_producers,E))))|greater(cardinality_at_time(efficient_producers,T),zero))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.36 fof(f42,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater_or_equal(X1,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 (?[E,T]: (((environment(E)&in_environment(E,T))&greater(T,critical_point(E)))&~selection_favors(efficient_producers,first_movers,T)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 ?[T]: ((?[E]: ((environment(E)&in_environment(E,T))&greater(T,critical_point(E))))&~selection_favors(efficient_producers,first_movers,T))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f43])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 (((environment(sk0_1)&in_environment(sk0_1,sk0_0))&greater(sk0_0,critical_point(sk0_1)))&~selection_favors(efficient_producers,first_movers,sk0_0))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f44])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 environment(sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 in_environment(sk0_1,sk0_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 greater(sk0_0,critical_point(sk0_1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ~selection_favors(efficient_producers,first_movers,sk0_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater(X1,critical_point(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f39])).
% 0.13/0.36 fof(f63,plain,(
% 0.13/0.36 ![X0,X1]: (greater(cardinality_at_time(first_movers,X0),zero)|cardinality_at_time(first_movers,X0)=zero|~environment(X1)|~in_environment(X1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f34,f23])).
% 0.13/0.36 fof(f64,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk0_1,X0)|subpopulation(first_movers,sk0_1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f25,f46])).
% 0.13/0.36 fof(f65,plain,(
% 0.13/0.36 subpopulation(first_movers,sk0_1,sk0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f64,f47])).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 spl0_0 <=> environment(sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f68,plain,(
% 0.13/0.36 ~environment(sk0_1)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f66])).
% 0.13/0.36 fof(f69,plain,(
% 0.13/0.36 spl0_1 <=> ~subpopulation(X0,sk0_1,sk0_0)|~greater(cardinality_at_time(X0,sk0_0),zero)|selection_favors(X0,first_movers,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f70,plain,(
% 0.13/0.36 ![X0]: (~subpopulation(X0,sk0_1,sk0_0)|~greater(cardinality_at_time(X0,sk0_0),zero)|selection_favors(X0,first_movers,sk0_0)|~spl0_1)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.36 fof(f72,plain,(
% 0.13/0.36 spl0_2 <=> cardinality_at_time(first_movers,sk0_0)=zero),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f75,plain,(
% 0.13/0.36 ![X0]: (~environment(sk0_1)|~subpopulation(X0,sk0_1,sk0_0)|~greater(cardinality_at_time(X0,sk0_0),zero)|~cardinality_at_time(first_movers,sk0_0)=zero|selection_favors(X0,first_movers,sk0_0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f65,f18])).
% 0.13/0.36 fof(f76,plain,(
% 0.13/0.36 ~spl0_0|spl0_1|~spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f75,f66,f69,f72])).
% 0.13/0.36 fof(f77,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk0_1,X0)|subpopulation(efficient_producers,sk0_1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f26,f46])).
% 0.13/0.36 fof(f78,plain,(
% 0.13/0.36 subpopulation(efficient_producers,sk0_1,sk0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f77,f47])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|greater(critical_point(X0),appear(efficient_producers,X0))|critical_point(X0)=appear(efficient_producers,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f28,f34])).
% 0.13/0.36 fof(f88,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk0_1,X0)|~greater_or_equal(X0,appear(efficient_producers,sk0_1))|greater(cardinality_at_time(efficient_producers,X0),zero))),
% 0.13/0.36 inference(resolution,[status(thm)],[f42,f46])).
% 0.13/0.36 fof(f89,plain,(
% 0.13/0.36 spl0_5 <=> greater_or_equal(sk0_0,appear(efficient_producers,sk0_1))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f91,plain,(
% 0.13/0.36 ~greater_or_equal(sk0_0,appear(efficient_producers,sk0_1))|spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.36 fof(f92,plain,(
% 0.13/0.36 spl0_6 <=> greater(cardinality_at_time(efficient_producers,sk0_0),zero)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f93,plain,(
% 0.13/0.36 greater(cardinality_at_time(efficient_producers,sk0_0),zero)|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f92])).
% 0.13/0.36 fof(f95,plain,(
% 0.13/0.36 ~greater_or_equal(sk0_0,appear(efficient_producers,sk0_1))|greater(cardinality_at_time(efficient_producers,sk0_0),zero)),
% 0.13/0.36 inference(resolution,[status(thm)],[f88,f47])).
% 0.13/0.36 fof(f96,plain,(
% 0.13/0.36 ~spl0_5|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f95,f89,f92])).
% 0.13/0.36 fof(f99,plain,(
% 0.13/0.36 spl0_7 <=> greater(cardinality_at_time(first_movers,sk0_0),zero)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f101,plain,(
% 0.13/0.36 ~greater(cardinality_at_time(first_movers,sk0_0),zero)|spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.36 fof(f102,plain,(
% 0.13/0.36 spl0_8 <=> subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f103,plain,(
% 0.13/0.36 subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)|~spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.36 fof(f110,plain,(
% 0.13/0.36 ~greater(sk0_0,appear(efficient_producers,sk0_1))|spl0_5),
% 0.13/0.36 inference(resolution,[status(thm)],[f91,f35])).
% 0.13/0.36 fof(f111,plain,(
% 0.13/0.36 spl0_10 <=> ~environment(X0)|~in_environment(X0,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f112,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~spl0_10)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 ![X0]: (cardinality_at_time(first_movers,sk0_0)=zero|~environment(X0)|~in_environment(X0,sk0_0)|spl0_7)),
% 0.13/0.36 inference(resolution,[status(thm)],[f101,f63])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 spl0_2|spl0_10|spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f114,f72,f111,f99])).
% 0.13/0.36 fof(f117,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f68,f46])).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f117])).
% 0.13/0.36 fof(f119,plain,(
% 0.13/0.36 ~environment(sk0_1)|~spl0_10),
% 0.13/0.36 inference(resolution,[status(thm)],[f112,f47])).
% 0.13/0.36 fof(f120,plain,(
% 0.13/0.36 ~spl0_0|~spl0_10),
% 0.13/0.36 inference(split_clause,[status(thm)],[f119,f66,f111])).
% 0.13/0.36 fof(f121,plain,(
% 0.13/0.36 ![X0]: (~greater(sk0_0,X0)|~greater(X0,appear(efficient_producers,sk0_1))|spl0_5)),
% 0.13/0.36 inference(resolution,[status(thm)],[f110,f31])).
% 0.13/0.36 fof(f133,plain,(
% 0.13/0.36 ~greater(critical_point(sk0_1),appear(efficient_producers,sk0_1))|spl0_5),
% 0.13/0.36 inference(resolution,[status(thm)],[f121,f48])).
% 0.13/0.36 fof(f135,plain,(
% 0.13/0.36 spl0_13 <=> critical_point(sk0_1)=appear(efficient_producers,sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f136,plain,(
% 0.13/0.36 critical_point(sk0_1)=appear(efficient_producers,sk0_1)|~spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.36 fof(f138,plain,(
% 0.13/0.36 ~environment(sk0_1)|critical_point(sk0_1)=appear(efficient_producers,sk0_1)|spl0_5),
% 0.13/0.36 inference(resolution,[status(thm)],[f133,f87])).
% 0.13/0.36 fof(f139,plain,(
% 0.13/0.36 ~spl0_0|spl0_13|spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f138,f66,f135,f89])).
% 0.13/0.36 fof(f153,plain,(
% 0.13/0.36 spl0_16 <=> ~environment(X0)|~in_environment(X0,sk0_0)|subpopulations(first_movers,efficient_producers,X0,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f154,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|subpopulations(first_movers,efficient_producers,X0,sk0_0)|~spl0_16)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.36 fof(f156,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~greater(cardinality_at_time(first_movers,sk0_0),zero)|subpopulations(first_movers,efficient_producers,X0,sk0_0)|~spl0_6)),
% 0.13/0.36 inference(resolution,[status(thm)],[f93,f20])).
% 0.13/0.36 fof(f157,plain,(
% 0.13/0.36 spl0_16|~spl0_7|~spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f156,f153,f99,f92])).
% 0.13/0.36 fof(f159,plain,(
% 0.13/0.36 ~greater(sk0_0,critical_point(sk0_1))|~spl0_13|spl0_5),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f136,f110])).
% 0.13/0.36 fof(f160,plain,(
% 0.13/0.36 $false|~spl0_13|spl0_5),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f159,f48])).
% 0.13/0.37 fof(f161,plain,(
% 0.13/0.37 ~spl0_13|spl0_5),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f160])).
% 0.13/0.37 fof(f166,plain,(
% 0.13/0.37 spl0_17 <=> greater(sk0_0,critical_point(sk0_1))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f168,plain,(
% 0.13/0.37 ~greater(sk0_0,critical_point(sk0_1))|spl0_17),
% 0.13/0.37 inference(component_clause,[status(thm)],[f166])).
% 0.13/0.37 fof(f186,plain,(
% 0.13/0.37 spl0_20 <=> selection_favors(efficient_producers,first_movers,sk0_0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f187,plain,(
% 0.13/0.37 selection_favors(efficient_producers,first_movers,sk0_0)|~spl0_20),
% 0.13/0.37 inference(component_clause,[status(thm)],[f186])).
% 0.13/0.37 fof(f189,plain,(
% 0.13/0.37 ~greater(cardinality_at_time(efficient_producers,sk0_0),zero)|selection_favors(efficient_producers,first_movers,sk0_0)|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f70,f78])).
% 0.13/0.37 fof(f190,plain,(
% 0.13/0.37 ~spl0_6|spl0_20|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f189,f92,f186,f69])).
% 0.13/0.37 fof(f196,plain,(
% 0.13/0.37 $false|~spl0_20),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f187,f49])).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 ~spl0_20),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f196])).
% 0.13/0.38 fof(f198,plain,(
% 0.13/0.38 spl0_22 <=> greater(growth_rate(efficient_producers,sk0_0),growth_rate(first_movers,sk0_0))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f201,plain,(
% 0.13/0.38 ~environment(sk0_1)|~greater(sk0_0,critical_point(sk0_1))|greater(growth_rate(efficient_producers,sk0_0),growth_rate(first_movers,sk0_0))|~spl0_8),
% 0.13/0.38 inference(resolution,[status(thm)],[f103,f52])).
% 0.13/0.38 fof(f202,plain,(
% 0.13/0.38 ~spl0_0|~spl0_17|spl0_22|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f201,f66,f166,f198,f102])).
% 0.13/0.38 fof(f203,plain,(
% 0.13/0.38 ~environment(sk0_1)|~greater(growth_rate(efficient_producers,sk0_0),growth_rate(first_movers,sk0_0))|selection_favors(efficient_producers,first_movers,sk0_0)|~spl0_8),
% 0.13/0.38 inference(resolution,[status(thm)],[f103,f15])).
% 0.13/0.38 fof(f204,plain,(
% 0.13/0.38 ~spl0_0|~spl0_22|spl0_20|~spl0_8),
% 0.13/0.38 inference(split_clause,[status(thm)],[f203,f66,f198,f186,f102])).
% 0.13/0.38 fof(f205,plain,(
% 0.13/0.38 $false|spl0_17),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f168,f48])).
% 0.13/0.38 fof(f206,plain,(
% 0.13/0.38 spl0_17),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f205])).
% 0.13/0.38 fof(f210,plain,(
% 0.13/0.38 spl0_23 <=> in_environment(sk0_1,sk0_0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f212,plain,(
% 0.13/0.38 ~in_environment(sk0_1,sk0_0)|spl0_23),
% 0.13/0.38 inference(component_clause,[status(thm)],[f210])).
% 0.13/0.38 fof(f216,plain,(
% 0.13/0.38 $false|spl0_23),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f212,f47])).
% 0.13/0.38 fof(f217,plain,(
% 0.13/0.38 spl0_23),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f216])).
% 0.13/0.38 fof(f219,plain,(
% 0.13/0.38 ~environment(sk0_1)|subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)|~spl0_16),
% 0.13/0.38 inference(resolution,[status(thm)],[f154,f47])).
% 0.13/0.38 fof(f220,plain,(
% 0.13/0.38 ~spl0_0|spl0_8|~spl0_16),
% 0.13/0.38 inference(split_clause,[status(thm)],[f219,f66,f102,f153])).
% 0.13/0.38 fof(f221,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f76,f96,f115,f118,f120,f139,f157,f161,f190,f197,f202,f204,f206,f217,f220])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.027948 seconds
% 0.13/0.38 % CPU time: 0.071266 seconds
% 0.13/0.38 % Memory used: 13.193 MB
%------------------------------------------------------------------------------