TSTP Solution File: MGT032+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:21:15 EDT 2023
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT032+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:58:37 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Drodi V3.5.1
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.35 fof(f1,axiom,(
% 0.14/0.35 (! [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) ) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f2,hypothesis,(
% 0.14/0.35 (! [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)) ) )) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f3,conjecture,(
% 0.14/0.35 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> selection_favors(efficient_producers,first_movers,T) ) )) )) )),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f4,negated_conjecture,(
% 0.14/0.35 ~((! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> selection_favors(efficient_producers,first_movers,T) ) )) )) ))),
% 0.14/0.35 inference(negated_conjecture,[status(cth)],[f3])).
% 0.14/0.35 fof(f5,plain,(
% 0.14/0.35 ![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))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.35 fof(f6,plain,(
% 0.14/0.35 ![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))),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f5])).
% 0.14/0.35 fof(f7,plain,(
% 0.14/0.35 ![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))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.35 fof(f8,plain,(
% 0.14/0.35 ![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)))))))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.35 fof(f9,plain,(
% 0.14/0.35 ![E]: ((~environment(E)|~stable(E))|(in_environment(E,sk0_0(E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sk0_0(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f8])).
% 0.14/0.35 fof(f10,plain,(
% 0.14/0.35 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk0_0(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.35 fof(f11,plain,(
% 0.14/0.35 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk0_0(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.35 fof(f12,plain,(
% 0.14/0.35 (?[E]: ((environment(E)&stable(E))&(![To]: (~in_environment(E,To)|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~selection_favors(efficient_producers,first_movers,T)))))))),
% 0.14/0.35 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.35 fof(f13,plain,(
% 0.14/0.35 ((environment(sk0_1)&stable(sk0_1))&(![To]: (~in_environment(sk0_1,To)|((subpopulations(first_movers,efficient_producers,sk0_1,sk0_2(To))&greater_or_equal(sk0_2(To),To))&~selection_favors(efficient_producers,first_movers,sk0_2(To))))))),
% 0.14/0.35 inference(skolemization,[status(esa)],[f12])).
% 0.14/0.35 fof(f14,plain,(
% 0.14/0.35 environment(sk0_1)),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.35 fof(f15,plain,(
% 0.14/0.35 stable(sk0_1)),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.35 fof(f16,plain,(
% 0.14/0.35 ![X0]: (~in_environment(sk0_1,X0)|subpopulations(first_movers,efficient_producers,sk0_1,sk0_2(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.35 fof(f17,plain,(
% 0.14/0.35 ![X0]: (~in_environment(sk0_1,X0)|greater_or_equal(sk0_2(X0),X0))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.35 fof(f18,plain,(
% 0.14/0.35 ![X0]: (~in_environment(sk0_1,X0)|~selection_favors(efficient_producers,first_movers,sk0_2(X0)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.35 fof(f19,plain,(
% 0.14/0.35 spl0_0 <=> environment(sk0_1)),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f21,plain,(
% 0.14/0.35 ~environment(sk0_1)|spl0_0),
% 0.14/0.35 inference(component_clause,[status(thm)],[f19])).
% 0.14/0.35 fof(f22,plain,(
% 0.14/0.35 spl0_1 <=> in_environment(sk0_1,sk0_0(sk0_1))),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f23,plain,(
% 0.14/0.35 in_environment(sk0_1,sk0_0(sk0_1))|~spl0_1),
% 0.14/0.35 inference(component_clause,[status(thm)],[f22])).
% 0.14/0.35 fof(f25,plain,(
% 0.14/0.35 ~environment(sk0_1)|in_environment(sk0_1,sk0_0(sk0_1))),
% 0.14/0.35 inference(resolution,[status(thm)],[f10,f15])).
% 0.14/0.35 fof(f26,plain,(
% 0.14/0.35 ~spl0_0|spl0_1),
% 0.14/0.35 inference(split_clause,[status(thm)],[f25,f19,f22])).
% 0.14/0.35 fof(f27,plain,(
% 0.14/0.35 $false|spl0_0),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f21,f14])).
% 0.14/0.35 fof(f28,plain,(
% 0.14/0.35 spl0_0),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f27])).
% 0.14/0.35 fof(f29,plain,(
% 0.14/0.35 subpopulations(first_movers,efficient_producers,sk0_1,sk0_2(sk0_0(sk0_1)))|~spl0_1),
% 0.14/0.35 inference(resolution,[status(thm)],[f23,f16])).
% 0.14/0.35 fof(f30,plain,(
% 0.14/0.35 greater_or_equal(sk0_2(sk0_0(sk0_1)),sk0_0(sk0_1))|~spl0_1),
% 0.14/0.35 inference(resolution,[status(thm)],[f23,f17])).
% 0.14/0.35 fof(f31,plain,(
% 0.14/0.35 spl0_2 <=> stable(sk0_1)),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f33,plain,(
% 0.14/0.35 ~stable(sk0_1)|spl0_2),
% 0.14/0.35 inference(component_clause,[status(thm)],[f31])).
% 0.14/0.35 fof(f34,plain,(
% 0.14/0.35 spl0_3 <=> greater_or_equal(sk0_2(sk0_0(sk0_1)),sk0_0(sk0_1))),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f36,plain,(
% 0.14/0.35 ~greater_or_equal(sk0_2(sk0_0(sk0_1)),sk0_0(sk0_1))|spl0_3),
% 0.14/0.35 inference(component_clause,[status(thm)],[f34])).
% 0.14/0.35 fof(f37,plain,(
% 0.14/0.35 spl0_4 <=> greater(growth_rate(efficient_producers,sk0_2(sk0_0(sk0_1))),growth_rate(first_movers,sk0_2(sk0_0(sk0_1))))),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f38,plain,(
% 0.14/0.35 greater(growth_rate(efficient_producers,sk0_2(sk0_0(sk0_1))),growth_rate(first_movers,sk0_2(sk0_0(sk0_1))))|~spl0_4),
% 0.14/0.35 inference(component_clause,[status(thm)],[f37])).
% 0.14/0.35 fof(f40,plain,(
% 0.14/0.35 ~environment(sk0_1)|~stable(sk0_1)|~greater_or_equal(sk0_2(sk0_0(sk0_1)),sk0_0(sk0_1))|greater(growth_rate(efficient_producers,sk0_2(sk0_0(sk0_1))),growth_rate(first_movers,sk0_2(sk0_0(sk0_1))))|~spl0_1),
% 0.14/0.35 inference(resolution,[status(thm)],[f29,f11])).
% 0.14/0.35 fof(f41,plain,(
% 0.14/0.35 ~spl0_0|~spl0_2|~spl0_3|spl0_4|~spl0_1),
% 0.14/0.35 inference(split_clause,[status(thm)],[f40,f19,f31,f34,f37,f22])).
% 0.14/0.35 fof(f42,plain,(
% 0.14/0.35 $false|~spl0_1|spl0_3),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f36,f30])).
% 0.14/0.35 fof(f43,plain,(
% 0.14/0.35 ~spl0_1|spl0_3),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f42])).
% 0.14/0.35 fof(f44,plain,(
% 0.14/0.35 $false|spl0_2),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f33,f15])).
% 0.14/0.35 fof(f45,plain,(
% 0.14/0.35 spl0_2),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f44])).
% 0.14/0.35 fof(f46,plain,(
% 0.14/0.35 spl0_5 <=> ~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sk0_2(sk0_0(sk0_1)))),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f47,plain,(
% 0.14/0.35 ![X0]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sk0_2(sk0_0(sk0_1)))|~spl0_5)),
% 0.14/0.35 inference(component_clause,[status(thm)],[f46])).
% 0.14/0.35 fof(f49,plain,(
% 0.14/0.35 spl0_6 <=> selection_favors(efficient_producers,first_movers,sk0_2(sk0_0(sk0_1)))),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f50,plain,(
% 0.14/0.35 selection_favors(efficient_producers,first_movers,sk0_2(sk0_0(sk0_1)))|~spl0_6),
% 0.14/0.35 inference(component_clause,[status(thm)],[f49])).
% 0.14/0.35 fof(f52,plain,(
% 0.14/0.35 ![X0]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sk0_2(sk0_0(sk0_1)))|selection_favors(efficient_producers,first_movers,sk0_2(sk0_0(sk0_1)))|~spl0_4)),
% 0.14/0.35 inference(resolution,[status(thm)],[f38,f7])).
% 0.14/0.35 fof(f53,plain,(
% 0.14/0.35 spl0_5|spl0_6|~spl0_4),
% 0.14/0.35 inference(split_clause,[status(thm)],[f52,f46,f49,f37])).
% 0.14/0.35 fof(f54,plain,(
% 0.14/0.35 ~environment(sk0_1)|~spl0_5|~spl0_1),
% 0.14/0.35 inference(resolution,[status(thm)],[f47,f29])).
% 0.14/0.35 fof(f55,plain,(
% 0.14/0.35 ~spl0_0|~spl0_5|~spl0_1),
% 0.14/0.35 inference(split_clause,[status(thm)],[f54,f19,f46,f22])).
% 0.14/0.35 fof(f56,plain,(
% 0.14/0.35 ~in_environment(sk0_1,sk0_0(sk0_1))|~spl0_6),
% 0.14/0.35 inference(resolution,[status(thm)],[f50,f18])).
% 0.14/0.36 fof(f57,plain,(
% 0.14/0.36 $false|~spl0_1|~spl0_6),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f56,f23])).
% 0.14/0.36 fof(f58,plain,(
% 0.14/0.36 ~spl0_1|~spl0_6),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f57])).
% 0.14/0.36 fof(f59,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f26,f28,f41,f43,f45,f53,f55,f58])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.36 % Elapsed time: 0.019699 seconds
% 0.14/0.36 % CPU time: 0.028233 seconds
% 0.14/0.36 % Memory used: 7.105 MB
%------------------------------------------------------------------------------