TSTP Solution File: MGT036-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT036-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:21:17 EDT 2023
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT036-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.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 11:07:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f1,axiom,(
% 0.13/0.35 (![A,B]: (( ~ environment(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| subpopulations(efficient_producers,first_movers,A,B) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f2,axiom,(
% 0.13/0.35 (![A,B]: (( ~ environment(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| in_environment(A,B) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f3,axiom,(
% 0.13/0.35 (![A,B,C]: (( environment(A)| ~ greater(zero,growth_rate(B,C)) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f5,axiom,(
% 0.13/0.35 (![A,B]: (( ~ greater_or_equal(growth_rate(A,B),zero)| ~ greater(zero,growth_rate(A,B)) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f8,hypothesis,(
% 0.13/0.35 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| ~ outcompetes(C,B,D)| greater_or_equal(growth_rate(C,D),zero) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f9,hypothesis,(
% 0.13/0.35 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| ~ outcompetes(C,B,D)| greater(zero,growth_rate(B,D)) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f10,hypothesis,(
% 0.13/0.35 (![A,B,C,D]: (( ~ environment(A)| ~ in_environment(A,B)| greater(zero,growth_rate(C,B))| ~ greater(resilience(D),resilience(C))| ~ greater(zero,growth_rate(D,B)) ) ))),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f11,hypothesis,(
% 0.13/0.35 greater(resilience(efficient_producers),resilience(first_movers)) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f12,negated_conjecture,(
% 0.13/0.35 environment(sk1) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f13,negated_conjecture,(
% 0.13/0.35 subpopulations(first_movers,efficient_producers,sk1,sk2) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f14,negated_conjecture,(
% 0.13/0.35 outcompetes(first_movers,efficient_producers,sk2) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f15,plain,(
% 0.13/0.35 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|subpopulations(efficient_producers,first_movers,X0,X1))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.35 fof(f16,plain,(
% 0.13/0.35 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.35 fof(f17,plain,(
% 0.13/0.35 (![A]: environment(A))|(![B,C]: ~greater(zero,growth_rate(B,C)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.35 fof(f18,plain,(
% 0.13/0.35 ![X0,X1,X2]: (environment(X0)|~greater(zero,growth_rate(X1,X2)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.35 fof(f21,plain,(
% 0.13/0.35 ![X0,X1]: (~greater_or_equal(growth_rate(X0,X1),zero)|~greater(zero,growth_rate(X0,X1)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.35 fof(f26,plain,(
% 0.13/0.35 ![C,D]: ((![B]: ((![A]: (~environment(A)|~subpopulations(B,C,A,D)))|~outcompetes(C,B,D)))|greater_or_equal(growth_rate(C,D),zero))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.35 fof(f27,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~outcompetes(X2,X1,X3)|greater_or_equal(growth_rate(X2,X3),zero))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.35 fof(f28,plain,(
% 0.13/0.35 ![B,D]: ((![C]: ((![A]: (~environment(A)|~subpopulations(B,C,A,D)))|~outcompetes(C,B,D)))|greater(zero,growth_rate(B,D)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.35 fof(f29,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~outcompetes(X2,X1,X3)|greater(zero,growth_rate(X1,X3)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.35 fof(f30,plain,(
% 0.13/0.35 ![B,D]: ((![C]: (((![A]: (~environment(A)|~in_environment(A,B)))|greater(zero,growth_rate(C,B)))|~greater(resilience(D),resilience(C))))|~greater(zero,growth_rate(D,B)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f10])).
% 0.13/0.35 fof(f31,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~environment(X0)|~in_environment(X0,X1)|greater(zero,growth_rate(X2,X1))|~greater(resilience(X3),resilience(X2))|~greater(zero,growth_rate(X3,X1)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.35 fof(f32,plain,(
% 0.13/0.35 greater(resilience(efficient_producers),resilience(first_movers))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.35 fof(f33,plain,(
% 0.13/0.35 environment(sk1)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.35 fof(f34,plain,(
% 0.13/0.35 subpopulations(first_movers,efficient_producers,sk1,sk2)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.35 fof(f35,plain,(
% 0.13/0.35 outcompetes(first_movers,efficient_producers,sk2)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.35 fof(f36,plain,(
% 0.13/0.35 spl0_0 <=> environment(X0)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f37,plain,(
% 0.13/0.35 ![X0]: (environment(X0)|~spl0_0)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f36])).
% 0.13/0.35 fof(f39,plain,(
% 0.13/0.35 spl0_1 <=> ~greater(zero,growth_rate(X1,X2))),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f40,plain,(
% 0.13/0.35 ![X0,X1]: (~greater(zero,growth_rate(X0,X1))|~spl0_1)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f39])).
% 0.13/0.35 fof(f42,plain,(
% 0.13/0.35 spl0_0|spl0_1),
% 0.13/0.35 inference(split_clause,[status(thm)],[f18,f36,f39])).
% 0.13/0.35 fof(f44,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~in_environment(X0,X1)|greater(zero,growth_rate(X2,X1))|~greater(resilience(X3),resilience(X2))|~greater(zero,growth_rate(X3,X1))|~spl0_0)),
% 0.13/0.35 inference(backward_subsumption_resolution,[status(thm)],[f31,f37])).
% 0.13/0.35 fof(f45,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~subpopulations(X0,X1,X2,X3)|~outcompetes(X1,X0,X3)|greater(zero,growth_rate(X0,X3))|~spl0_0)),
% 0.13/0.35 inference(backward_subsumption_resolution,[status(thm)],[f29,f37])).
% 0.13/0.35 fof(f46,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~subpopulations(X0,X1,X2,X3)|~outcompetes(X1,X0,X3)|greater_or_equal(growth_rate(X1,X3),zero)|~spl0_0)),
% 0.13/0.35 inference(backward_subsumption_resolution,[status(thm)],[f27,f37])).
% 0.13/0.35 fof(f49,plain,(
% 0.13/0.35 ![X0,X1]: (~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1)|~spl0_0)),
% 0.13/0.35 inference(backward_subsumption_resolution,[status(thm)],[f16,f37])).
% 0.13/0.35 fof(f52,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~subpopulations(X0,X1,X2,X3)|~outcompetes(X1,X0,X3)|~greater(zero,growth_rate(X1,X3))|~spl0_0)),
% 0.13/0.35 inference(resolution,[status(thm)],[f46,f21])).
% 0.13/0.35 fof(f57,plain,(
% 0.13/0.35 spl0_3 <=> ~subpopulations(efficient_producers,first_movers,X2,sk2)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f58,plain,(
% 0.13/0.35 ![X0]: (~subpopulations(efficient_producers,first_movers,X0,sk2)|~spl0_3)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f57])).
% 0.13/0.35 fof(f63,plain,(
% 0.13/0.35 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~outcompetes(X2,X1,X3)|~spl0_1)),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f29,f40])).
% 0.13/0.35 fof(f74,plain,(
% 0.13/0.35 ![X0]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sk2)|~spl0_3)),
% 0.13/0.35 inference(resolution,[status(thm)],[f58,f15])).
% 0.13/0.35 fof(f75,plain,(
% 0.13/0.35 ~environment(sk1)|~spl0_3),
% 0.13/0.35 inference(resolution,[status(thm)],[f74,f34])).
% 0.13/0.35 fof(f76,plain,(
% 0.13/0.35 $false|~spl0_3),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f75,f33])).
% 0.13/0.35 fof(f77,plain,(
% 0.13/0.35 ~spl0_3),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f76])).
% 0.13/0.35 fof(f78,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~subpopulations(X0,X1,sk1,X2)|~outcompetes(X1,X0,X2)|~spl0_1)),
% 0.13/0.35 inference(resolution,[status(thm)],[f63,f33])).
% 0.13/0.35 fof(f79,plain,(
% 0.13/0.35 ~subpopulations(efficient_producers,first_movers,sk1,sk2)|~spl0_1),
% 0.13/0.35 inference(resolution,[status(thm)],[f78,f35])).
% 0.13/0.35 fof(f80,plain,(
% 0.13/0.35 spl0_6 <=> environment(sk1)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f82,plain,(
% 0.13/0.35 ~environment(sk1)|spl0_6),
% 0.13/0.35 inference(component_clause,[status(thm)],[f80])).
% 0.13/0.35 fof(f83,plain,(
% 0.13/0.35 spl0_7 <=> subpopulations(first_movers,efficient_producers,sk1,sk2)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f85,plain,(
% 0.13/0.35 ~subpopulations(first_movers,efficient_producers,sk1,sk2)|spl0_7),
% 0.13/0.35 inference(component_clause,[status(thm)],[f83])).
% 0.13/0.35 fof(f86,plain,(
% 0.13/0.35 ~environment(sk1)|~subpopulations(first_movers,efficient_producers,sk1,sk2)|~spl0_1),
% 0.13/0.35 inference(resolution,[status(thm)],[f79,f15])).
% 0.13/0.35 fof(f87,plain,(
% 0.13/0.35 ~spl0_6|~spl0_7|~spl0_1),
% 0.13/0.35 inference(split_clause,[status(thm)],[f86,f80,f83,f39])).
% 0.13/0.35 fof(f88,plain,(
% 0.13/0.35 $false|spl0_7),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f85,f34])).
% 0.13/0.36 fof(f89,plain,(
% 0.13/0.36 spl0_7),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f88])).
% 0.13/0.36 fof(f90,plain,(
% 0.13/0.36 $false|spl0_6),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f82,f33])).
% 0.13/0.36 fof(f91,plain,(
% 0.13/0.36 spl0_6),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f90])).
% 0.13/0.36 fof(f96,plain,(
% 0.13/0.36 ![X0,X1]: (~in_environment(X0,X1)|greater(zero,growth_rate(first_movers,X1))|~greater(zero,growth_rate(efficient_producers,X1))|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f44,f32])).
% 0.13/0.36 fof(f103,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~in_environment(X0,X1)|greater(zero,growth_rate(first_movers,X1))|~subpopulations(efficient_producers,X2,X3,X1)|~outcompetes(X2,efficient_producers,X1)|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f96,f45])).
% 0.13/0.36 fof(f105,plain,(
% 0.13/0.36 spl0_8 <=> ~in_environment(X0,sk2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f106,plain,(
% 0.13/0.36 ![X0]: (~in_environment(X0,sk2)|~spl0_8)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.36 fof(f108,plain,(
% 0.13/0.36 spl0_9 <=> greater(zero,growth_rate(first_movers,sk2))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f109,plain,(
% 0.13/0.36 greater(zero,growth_rate(first_movers,sk2))|~spl0_9),
% 0.13/0.36 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.36 fof(f111,plain,(
% 0.13/0.36 ![X0,X1]: (~in_environment(X0,sk2)|greater(zero,growth_rate(first_movers,sk2))|~subpopulations(efficient_producers,first_movers,X1,sk2)|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f103,f35])).
% 0.13/0.36 fof(f112,plain,(
% 0.13/0.36 spl0_8|spl0_9|spl0_3|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f111,f105,f108,f57,f36])).
% 0.13/0.36 fof(f113,plain,(
% 0.13/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,X0,sk2)|~spl0_8|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f106,f49])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 $false|~spl0_8|~spl0_0),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f34,f113])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 ~spl0_8|~spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f114])).
% 0.13/0.36 fof(f117,plain,(
% 0.13/0.36 ![X0,X1]: (~subpopulations(X0,first_movers,X1,sk2)|~outcompetes(first_movers,X0,sk2)|~spl0_9|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f109,f52])).
% 0.13/0.36 fof(f124,plain,(
% 0.13/0.36 ![X0]: (~subpopulations(efficient_producers,first_movers,X0,sk2)|~spl0_9|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f117,f35])).
% 0.13/0.36 fof(f125,plain,(
% 0.13/0.36 spl0_3|~spl0_9|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f124,f57,f108,f36])).
% 0.13/0.36 fof(f126,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f42,f77,f87,f89,f91,f112,f115,f125])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.36 % Elapsed time: 0.019132 seconds
% 0.13/0.36 % CPU time: 0.039217 seconds
% 0.13/0.36 % Memory used: 2.032 MB
%------------------------------------------------------------------------------