TSTP Solution File: MGT027+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT027+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 : Tue Apr 30 20:28:41 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT027+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:34:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (! [E,To] :( ( environment(E)& stable(E)& in_environment(E,To)& (! [T] :( ( greater(cardinality_at_time(first_movers,T),zero)& greater_or_equal(T,To) )=> greater(zero,growth_rate(first_movers,T)) ) ))=> contracts_from(To,first_movers) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (! [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) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (! [E,T1,T2] :( ( environment(E)& stable(E)& in_environment(E,T1)& greater(T2,T1) )=> in_environment(E,T2) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,axiom,(
% 0.14/0.38 (! [E] :( ( environment(E)& stable(E) )=> in_environment(E,appear(efficient_producers,E)) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (! [X,Y,Z] :( ( greater(X,Y)& greater(Y,Z) )=> greater(X,Z) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (! [X,Y] :( greater_or_equal(X,Y)<=> ( greater(X,Y)| X = Y ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,hypothesis,(
% 0.14/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater_or_equal(T,appear(efficient_producers,E)) )=> greater(cardinality_at_time(efficient_producers,T),zero) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,hypothesis,(
% 0.14/0.38 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( greater(To,appear(efficient_producers,E))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> greater(zero,growth_rate(first_movers,T)) ) )) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,conjecture,(
% 0.14/0.38 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( greater(To,appear(efficient_producers,E))& contracts_from(To,first_movers) ) )) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,negated_conjecture,(
% 0.14/0.38 ~((! [E] :( ( environment(E)& stable(E) )=> (? [To] :( greater(To,appear(efficient_producers,E))& contracts_from(To,first_movers) ) )) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f9])).
% 0.14/0.38 fof(f11,plain,(
% 0.14/0.38 ![E,To]: ((((~environment(E)|~stable(E))|~in_environment(E,To))|(?[T]: ((greater(cardinality_at_time(first_movers,T),zero)&greater_or_equal(T,To))&~greater(zero,growth_rate(first_movers,T)))))|contracts_from(To,first_movers))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.38 fof(f12,plain,(
% 0.14/0.38 ![To]: (((![E]: ((~environment(E)|~stable(E))|~in_environment(E,To)))|(?[T]: ((greater(cardinality_at_time(first_movers,T),zero)&greater_or_equal(T,To))&~greater(zero,growth_rate(first_movers,T)))))|contracts_from(To,first_movers))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f11])).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 ![To]: (((![E]: ((~environment(E)|~stable(E))|~in_environment(E,To)))|((greater(cardinality_at_time(first_movers,sk0_0(To)),zero)&greater_or_equal(sk0_0(To),To))&~greater(zero,growth_rate(first_movers,sk0_0(To)))))|contracts_from(To,first_movers))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f12])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|greater(cardinality_at_time(first_movers,sk0_0(X1)),zero)|contracts_from(X1,first_movers))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|greater_or_equal(sk0_0(X1),X1)|contracts_from(X1,first_movers))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(zero,growth_rate(first_movers,sk0_0(X1)))|contracts_from(X1,first_movers))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 ![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))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ![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))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ![E,T1,T2]: ((((~environment(E)|~stable(E))|~in_environment(E,T1))|~greater(T2,T1))|in_environment(E,T2))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![E,T2]: ((![T1]: (((~environment(E)|~stable(E))|~in_environment(E,T1))|~greater(T2,T1)))|in_environment(E,T2))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f19])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(X2,X1)|in_environment(X0,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ![E]: ((~environment(E)|~stable(E))|in_environment(E,appear(efficient_producers,E)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.38 fof(f23,plain,(
% 0.14/0.38 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,appear(efficient_producers,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 ![X,Y,Z]: ((~greater(X,Y)|~greater(Y,Z))|greater(X,Z))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.38 fof(f25,plain,(
% 0.14/0.38 ![X,Z]: ((![Y]: (~greater(X,Y)|~greater(Y,Z)))|greater(X,Z))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f24])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~greater(X0,X1)|~greater(X1,X2)|greater(X0,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 ![X,Y]: ((~greater_or_equal(X,Y)|(greater(X,Y)|X=Y))&(greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f6])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 (![X,Y]: (~greater_or_equal(X,Y)|(greater(X,Y)|X=Y)))&(![X,Y]: (greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f27])).
% 0.14/0.38 fof(f29,plain,(
% 0.14/0.38 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 ![X0,X1]: (greater_or_equal(X0,X1)|~greater(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 ![X0,X1]: (greater_or_equal(X0,X1)|~X0=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 ![E,T]: (((~environment(E)|~in_environment(E,T))|~greater_or_equal(T,appear(efficient_producers,E)))|greater(cardinality_at_time(efficient_producers,T),zero))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 ![T]: ((![E]: ((~environment(E)|~in_environment(E,T))|~greater_or_equal(T,appear(efficient_producers,E))))|greater(cardinality_at_time(efficient_producers,T),zero))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f32])).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater_or_equal(X1,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f33])).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 ![E]: ((~environment(E)|~stable(E))|(?[To]: (greater(To,appear(efficient_producers,E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,To))|greater(zero,growth_rate(first_movers,T)))))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f36,plain,(
% 0.14/0.38 ![E]: ((~environment(E)|~stable(E))|(greater(sk0_1(E),appear(efficient_producers,E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sk0_1(E)))|greater(zero,growth_rate(first_movers,T))))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f35])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 ![X0]: (~environment(X0)|~stable(X0)|greater(sk0_1(X0),appear(efficient_producers,X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f36])).
% 0.14/0.38 fof(f38,plain,(
% 0.14/0.38 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk0_1(X0))|greater(zero,growth_rate(first_movers,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f36])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 (?[E]: ((environment(E)&stable(E))&(![To]: (~greater(To,appear(efficient_producers,E))|~contracts_from(To,first_movers)))))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 ((environment(sk0_2)&stable(sk0_2))&(![To]: (~greater(To,appear(efficient_producers,sk0_2))|~contracts_from(To,first_movers))))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f39])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 environment(sk0_2)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.38 fof(f42,plain,(
% 0.14/0.38 stable(sk0_2)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.38 fof(f43,plain,(
% 0.14/0.38 ![X0]: (~greater(X0,appear(efficient_producers,sk0_2))|~contracts_from(X0,first_movers))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 ![X0]: (greater_or_equal(X0,X0))),
% 0.14/0.38 inference(destructive_equality_resolution,[status(esa)],[f31])).
% 0.14/0.38 fof(f45,plain,(
% 0.14/0.38 spl0_0 <=> environment(sk0_2)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f47,plain,(
% 0.14/0.38 ~environment(sk0_2)|spl0_0),
% 0.14/0.38 inference(component_clause,[status(thm)],[f45])).
% 0.14/0.38 fof(f48,plain,(
% 0.14/0.38 spl0_1 <=> in_environment(sk0_2,appear(efficient_producers,sk0_2))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f49,plain,(
% 0.14/0.38 in_environment(sk0_2,appear(efficient_producers,sk0_2))|~spl0_1),
% 0.14/0.38 inference(component_clause,[status(thm)],[f48])).
% 0.14/0.38 fof(f51,plain,(
% 0.14/0.38 ~environment(sk0_2)|in_environment(sk0_2,appear(efficient_producers,sk0_2))),
% 0.14/0.38 inference(resolution,[status(thm)],[f23,f42])).
% 0.14/0.38 fof(f52,plain,(
% 0.14/0.38 ~spl0_0|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f51,f45,f48])).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 $false|spl0_0),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f47,f41])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 spl0_0),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f53])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 ![X0]: (~environment(X0)|~in_environment(X0,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,appear(efficient_producers,X0)),zero))),
% 0.14/0.38 inference(resolution,[status(thm)],[f44,f34])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 spl0_2 <=> greater(sk0_1(sk0_2),appear(efficient_producers,sk0_2))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f57,plain,(
% 0.14/0.38 greater(sk0_1(sk0_2),appear(efficient_producers,sk0_2))|~spl0_2),
% 0.14/0.38 inference(component_clause,[status(thm)],[f56])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ~environment(sk0_2)|greater(sk0_1(sk0_2),appear(efficient_producers,sk0_2))),
% 0.14/0.38 inference(resolution,[status(thm)],[f37,f42])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 ~spl0_0|spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f59,f45,f56])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 spl0_3 <=> greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk0_2)),zero)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 ~environment(sk0_2)|greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk0_2)),zero)|~spl0_1),
% 0.14/0.38 inference(resolution,[status(thm)],[f49,f55])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 ~spl0_0|spl0_3|~spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f64,f45,f61,f48])).
% 0.14/0.38 fof(f74,plain,(
% 0.14/0.38 spl0_6 <=> stable(sk0_2)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f76,plain,(
% 0.14/0.38 ~stable(sk0_2)|spl0_6),
% 0.14/0.38 inference(component_clause,[status(thm)],[f74])).
% 0.14/0.38 fof(f95,plain,(
% 0.14/0.38 spl0_11 <=> ~greater(X0,appear(efficient_producers,sk0_2))|in_environment(sk0_2,X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f96,plain,(
% 0.14/0.38 ![X0]: (~greater(X0,appear(efficient_producers,sk0_2))|in_environment(sk0_2,X0)|~spl0_11)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f95])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 ![X0]: (~environment(sk0_2)|~stable(sk0_2)|~greater(X0,appear(efficient_producers,sk0_2))|in_environment(sk0_2,X0)|~spl0_1)),
% 0.14/0.38 inference(resolution,[status(thm)],[f49,f21])).
% 0.14/0.38 fof(f99,plain,(
% 0.14/0.38 ~spl0_0|~spl0_6|spl0_11|~spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f98,f45,f74,f95,f48])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 $false|spl0_6),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f76,f42])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 spl0_6),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f100])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 ~contracts_from(sk0_1(sk0_2),first_movers)|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f57,f43])).
% 0.14/0.38 fof(f103,plain,(
% 0.14/0.38 greater_or_equal(sk0_1(sk0_2),appear(efficient_producers,sk0_2))|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f57,f30])).
% 0.14/0.38 fof(f105,plain,(
% 0.14/0.38 spl0_12 <=> in_environment(sk0_2,sk0_1(sk0_2))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f107,plain,(
% 0.14/0.38 ~in_environment(sk0_2,sk0_1(sk0_2))|spl0_12),
% 0.14/0.38 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.38 fof(f108,plain,(
% 0.14/0.38 spl0_13 <=> greater(cardinality_at_time(efficient_producers,sk0_1(sk0_2)),zero)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f111,plain,(
% 0.14/0.38 ~environment(sk0_2)|~in_environment(sk0_2,sk0_1(sk0_2))|greater(cardinality_at_time(efficient_producers,sk0_1(sk0_2)),zero)|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f103,f34])).
% 0.14/0.38 fof(f112,plain,(
% 0.14/0.38 ~spl0_0|~spl0_12|spl0_13|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f111,f45,f105,f108,f56])).
% 0.14/0.38 fof(f118,plain,(
% 0.14/0.38 in_environment(sk0_2,sk0_1(sk0_2))|~spl0_11|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f96,f57])).
% 0.14/0.38 fof(f119,plain,(
% 0.14/0.38 $false|spl0_12|~spl0_11|~spl0_2),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f118,f107])).
% 0.14/0.38 fof(f120,plain,(
% 0.14/0.38 spl0_12|~spl0_11|~spl0_2),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f119])).
% 0.14/0.38 fof(f121,plain,(
% 0.14/0.38 spl0_15 <=> greater(cardinality_at_time(first_movers,sk0_1(sk0_2)),zero)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f123,plain,(
% 0.14/0.38 ~greater(cardinality_at_time(first_movers,sk0_1(sk0_2)),zero)|spl0_15),
% 0.14/0.38 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 spl0_16 <=> subpopulations(first_movers,efficient_producers,sk0_2,sk0_1(sk0_2))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f125,plain,(
% 0.14/0.38 subpopulations(first_movers,efficient_producers,sk0_2,sk0_1(sk0_2))|~spl0_16),
% 0.14/0.38 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.38 fof(f127,plain,(
% 0.14/0.38 ~environment(sk0_2)|~greater(cardinality_at_time(first_movers,sk0_1(sk0_2)),zero)|~greater(cardinality_at_time(efficient_producers,sk0_1(sk0_2)),zero)|subpopulations(first_movers,efficient_producers,sk0_2,sk0_1(sk0_2))|~spl0_11|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f118,f18])).
% 0.14/0.38 fof(f128,plain,(
% 0.14/0.38 ~spl0_0|~spl0_15|~spl0_13|spl0_16|~spl0_11|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f127,f45,f121,f108,f124,f95,f56])).
% 0.14/0.38 fof(f129,plain,(
% 0.14/0.38 spl0_17 <=> greater(zero,growth_rate(first_movers,sk0_0(sk0_1(sk0_2))))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f132,plain,(
% 0.14/0.38 spl0_18 <=> contracts_from(sk0_1(sk0_2),first_movers)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 contracts_from(sk0_1(sk0_2),first_movers)|~spl0_18),
% 0.14/0.38 inference(component_clause,[status(thm)],[f132])).
% 0.14/0.38 fof(f135,plain,(
% 0.14/0.38 ~environment(sk0_2)|~stable(sk0_2)|~greater(zero,growth_rate(first_movers,sk0_0(sk0_1(sk0_2))))|contracts_from(sk0_1(sk0_2),first_movers)|~spl0_11|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f118,f16])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 ~spl0_0|~spl0_6|~spl0_17|spl0_18|~spl0_11|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f135,f45,f74,f129,f132,f95,f56])).
% 0.14/0.38 fof(f137,plain,(
% 0.14/0.38 spl0_19 <=> greater(cardinality_at_time(first_movers,sk0_0(sk0_1(sk0_2))),zero)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f138,plain,(
% 0.14/0.38 greater(cardinality_at_time(first_movers,sk0_0(sk0_1(sk0_2))),zero)|~spl0_19),
% 0.14/0.38 inference(component_clause,[status(thm)],[f137])).
% 0.14/0.38 fof(f140,plain,(
% 0.14/0.38 ~environment(sk0_2)|~stable(sk0_2)|greater(cardinality_at_time(first_movers,sk0_0(sk0_1(sk0_2))),zero)|contracts_from(sk0_1(sk0_2),first_movers)|~spl0_11|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f118,f14])).
% 0.14/0.38 fof(f141,plain,(
% 0.14/0.38 ~spl0_0|~spl0_6|spl0_19|spl0_18|~spl0_11|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f140,f45,f74,f137,f132,f95,f56])).
% 0.14/0.38 fof(f142,plain,(
% 0.14/0.38 spl0_20 <=> greater_or_equal(sk0_0(sk0_1(sk0_2)),sk0_1(sk0_2))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f143,plain,(
% 0.14/0.38 greater_or_equal(sk0_0(sk0_1(sk0_2)),sk0_1(sk0_2))|~spl0_20),
% 0.14/0.38 inference(component_clause,[status(thm)],[f142])).
% 0.14/0.38 fof(f145,plain,(
% 0.14/0.38 ~environment(sk0_2)|~stable(sk0_2)|greater_or_equal(sk0_0(sk0_1(sk0_2)),sk0_1(sk0_2))|contracts_from(sk0_1(sk0_2),first_movers)|~spl0_11|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f118,f15])).
% 0.14/0.38 fof(f146,plain,(
% 0.14/0.38 ~spl0_0|~spl0_6|spl0_20|spl0_18|~spl0_11|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f145,f45,f74,f142,f132,f95,f56])).
% 0.14/0.38 fof(f147,plain,(
% 0.14/0.38 spl0_21 <=> ~greater(X0,sk0_1(sk0_2))|in_environment(sk0_2,X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f148,plain,(
% 0.14/0.38 ![X0]: (~greater(X0,sk0_1(sk0_2))|in_environment(sk0_2,X0)|~spl0_21)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f147])).
% 0.14/0.38 fof(f150,plain,(
% 0.14/0.38 ![X0]: (~environment(sk0_2)|~stable(sk0_2)|~greater(X0,sk0_1(sk0_2))|in_environment(sk0_2,X0)|~spl0_11|~spl0_2)),
% 0.14/0.38 inference(resolution,[status(thm)],[f118,f21])).
% 0.14/0.38 fof(f151,plain,(
% 0.14/0.38 ~spl0_0|~spl0_6|spl0_21|~spl0_11|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f150,f45,f74,f147,f95,f56])).
% 0.14/0.38 fof(f152,plain,(
% 0.14/0.38 $false|~spl0_2|~spl0_18),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f133,f102])).
% 0.14/0.38 fof(f153,plain,(
% 0.14/0.38 ~spl0_2|~spl0_18),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f152])).
% 0.14/0.38 fof(f156,plain,(
% 0.14/0.38 spl0_22 <=> greater(sk0_0(sk0_1(sk0_2)),sk0_1(sk0_2))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f157,plain,(
% 0.14/0.38 greater(sk0_0(sk0_1(sk0_2)),sk0_1(sk0_2))|~spl0_22),
% 0.14/0.38 inference(component_clause,[status(thm)],[f156])).
% 0.14/0.38 fof(f159,plain,(
% 0.14/0.38 spl0_23 <=> sk0_0(sk0_1(sk0_2))=sk0_1(sk0_2)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f160,plain,(
% 0.14/0.38 sk0_0(sk0_1(sk0_2))=sk0_1(sk0_2)|~spl0_23),
% 0.14/0.38 inference(component_clause,[status(thm)],[f159])).
% 0.14/0.38 fof(f162,plain,(
% 0.14/0.38 greater(sk0_0(sk0_1(sk0_2)),sk0_1(sk0_2))|sk0_0(sk0_1(sk0_2))=sk0_1(sk0_2)|~spl0_20),
% 0.14/0.38 inference(resolution,[status(thm)],[f143,f29])).
% 0.14/0.38 fof(f163,plain,(
% 0.14/0.38 spl0_22|spl0_23|~spl0_20),
% 0.14/0.38 inference(split_clause,[status(thm)],[f162,f156,f159,f142])).
% 0.14/0.38 fof(f169,plain,(
% 0.14/0.38 in_environment(sk0_2,sk0_0(sk0_1(sk0_2)))|~spl0_22|~spl0_21),
% 0.14/0.38 inference(resolution,[status(thm)],[f157,f148])).
% 0.14/0.38 fof(f170,plain,(
% 0.14/0.38 ![X0]: (~greater(sk0_1(sk0_2),X0)|greater(sk0_0(sk0_1(sk0_2)),X0)|~spl0_22)),
% 0.14/0.38 inference(resolution,[status(thm)],[f157,f26])).
% 0.14/0.38 fof(f171,plain,(
% 0.14/0.38 spl0_25 <=> greater(cardinality_at_time(efficient_producers,sk0_0(sk0_1(sk0_2))),zero)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f174,plain,(
% 0.14/0.38 spl0_26 <=> subpopulations(first_movers,efficient_producers,sk0_2,sk0_0(sk0_1(sk0_2)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f175,plain,(
% 0.14/0.38 subpopulations(first_movers,efficient_producers,sk0_2,sk0_0(sk0_1(sk0_2)))|~spl0_26),
% 0.14/0.38 inference(component_clause,[status(thm)],[f174])).
% 0.14/0.38 fof(f176,plain,(
% 0.14/0.38 ~subpopulations(first_movers,efficient_producers,sk0_2,sk0_0(sk0_1(sk0_2)))|spl0_26),
% 0.14/0.38 inference(component_clause,[status(thm)],[f174])).
% 0.14/0.38 fof(f177,plain,(
% 0.14/0.38 ~environment(sk0_2)|~greater(cardinality_at_time(first_movers,sk0_0(sk0_1(sk0_2))),zero)|~greater(cardinality_at_time(efficient_producers,sk0_0(sk0_1(sk0_2))),zero)|subpopulations(first_movers,efficient_producers,sk0_2,sk0_0(sk0_1(sk0_2)))|~spl0_22|~spl0_21),
% 0.14/0.38 inference(resolution,[status(thm)],[f169,f18])).
% 0.14/0.38 fof(f178,plain,(
% 0.14/0.38 ~spl0_0|~spl0_19|~spl0_25|spl0_26|~spl0_22|~spl0_21),
% 0.14/0.38 inference(split_clause,[status(thm)],[f177,f45,f137,f171,f174,f156,f147])).
% 0.14/0.38 fof(f216,plain,(
% 0.14/0.38 greater(sk0_0(sk0_1(sk0_2)),appear(efficient_producers,sk0_2))|~spl0_22|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f170,f57])).
% 0.14/0.38 fof(f220,plain,(
% 0.14/0.38 greater_or_equal(sk0_0(sk0_1(sk0_2)),appear(efficient_producers,sk0_2))|~spl0_22|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f216,f30])).
% 0.14/0.38 fof(f222,plain,(
% 0.14/0.38 spl0_34 <=> in_environment(sk0_2,sk0_0(sk0_1(sk0_2)))),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f224,plain,(
% 0.14/0.38 ~in_environment(sk0_2,sk0_0(sk0_1(sk0_2)))|spl0_34),
% 0.14/0.38 inference(component_clause,[status(thm)],[f222])).
% 0.14/0.38 fof(f225,plain,(
% 0.14/0.38 ~environment(sk0_2)|~in_environment(sk0_2,sk0_0(sk0_1(sk0_2)))|greater(cardinality_at_time(efficient_producers,sk0_0(sk0_1(sk0_2))),zero)|~spl0_22|~spl0_2),
% 0.14/0.38 inference(resolution,[status(thm)],[f220,f34])).
% 0.14/0.38 fof(f226,plain,(
% 0.14/0.38 ~spl0_0|~spl0_34|spl0_25|~spl0_22|~spl0_2),
% 0.14/0.38 inference(split_clause,[status(thm)],[f225,f45,f222,f171,f156,f56])).
% 0.14/0.38 fof(f235,plain,(
% 0.14/0.38 $false|~spl0_22|~spl0_21|spl0_34),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f224,f169])).
% 0.14/0.38 fof(f236,plain,(
% 0.14/0.38 ~spl0_22|~spl0_21|spl0_34),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f235])).
% 0.14/0.38 fof(f237,plain,(
% 0.14/0.38 ~environment(sk0_2)|~stable(sk0_2)|~greater_or_equal(sk0_0(sk0_1(sk0_2)),sk0_1(sk0_2))|greater(zero,growth_rate(first_movers,sk0_0(sk0_1(sk0_2))))|~spl0_26),
% 0.14/0.38 inference(resolution,[status(thm)],[f175,f38])).
% 0.14/0.38 fof(f238,plain,(
% 0.14/0.38 ~spl0_0|~spl0_6|~spl0_20|spl0_17|~spl0_26),
% 0.14/0.38 inference(split_clause,[status(thm)],[f237,f45,f74,f142,f129,f174])).
% 0.14/0.38 fof(f240,plain,(
% 0.14/0.38 ~subpopulations(first_movers,efficient_producers,sk0_2,sk0_1(sk0_2))|~spl0_23|spl0_26),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f160,f176])).
% 0.14/0.38 fof(f242,plain,(
% 0.14/0.38 greater(cardinality_at_time(first_movers,sk0_1(sk0_2)),zero)|~spl0_23|~spl0_19),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f160,f138])).
% 0.14/0.38 fof(f243,plain,(
% 0.14/0.38 $false|spl0_15|~spl0_23|~spl0_19),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f242,f123])).
% 0.14/0.38 fof(f244,plain,(
% 0.14/0.38 spl0_15|~spl0_23|~spl0_19),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f243])).
% 0.14/0.38 fof(f248,plain,(
% 0.14/0.38 $false|~spl0_23|spl0_26|~spl0_16),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f125,f240])).
% 0.14/0.38 fof(f249,plain,(
% 0.14/0.38 ~spl0_23|spl0_26|~spl0_16),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f248])).
% 0.14/0.38 fof(f250,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f52,f54,f60,f65,f99,f101,f112,f120,f128,f136,f141,f146,f151,f153,f163,f178,f226,f236,f238,f244,f249])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.38 % Elapsed time: 0.028508 seconds
% 0.20/0.38 % CPU time: 0.114989 seconds
% 0.20/0.38 % Total memory used: 26.062 MB
% 0.20/0.38 % Net memory used: 25.873 MB
%------------------------------------------------------------------------------