TSTP Solution File: MGT032-2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT032-2 : 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 : Tue Apr 30 20:28:42 EDT 2024
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n005.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 23:35:11 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| ~ greater(growth_rate(C,D),growth_rate(B,D))| selection_favors(C,B,D) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,hypothesis,(
% 0.12/0.37 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,sk1(A)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,hypothesis,(
% 0.12/0.37 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ greater_or_equal(B,sk1(A))| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,negated_conjecture,(
% 0.12/0.37 environment(sk2) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,negated_conjecture,(
% 0.12/0.37 stable(sk2) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,negated_conjecture,(
% 0.12/0.37 (![A]: (( ~ in_environment(sk2,A)| subpopulations(first_movers,efficient_producers,sk2,sk3(A)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,negated_conjecture,(
% 0.12/0.37 (![A]: (( ~ in_environment(sk2,A)| greater_or_equal(sk3(A),A) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f8,negated_conjecture,(
% 0.12/0.37 (![A]: (( ~ in_environment(sk2,A)| ~ selection_favors(efficient_producers,first_movers,sk3(A)) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ![B,C,D]: (((![A]: (~environment(A)|~subpopulations(B,C,A,D)))|~greater(growth_rate(C,D),growth_rate(B,D)))|selection_favors(C,B,D))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f1])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![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))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk1(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ![B]: ((![A]: (((~environment(A)|~stable(A))|~subpopulations(first_movers,efficient_producers,A,B))|~greater_or_equal(B,sk1(A))))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f3])).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk1(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 environment(sk2)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 stable(sk2)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0]: (~in_environment(sk2,X0)|subpopulations(first_movers,efficient_producers,sk2,sk3(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 ![X0]: (~in_environment(sk2,X0)|greater_or_equal(sk3(X0),X0))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.37 fof(f18,plain,(
% 0.12/0.37 ![X0]: (~in_environment(sk2,X0)|~selection_favors(efficient_producers,first_movers,sk3(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 spl0_0 <=> environment(sk2)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 ~environment(sk2)|spl0_0),
% 0.12/0.37 inference(component_clause,[status(thm)],[f19])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 spl0_1 <=> in_environment(sk2,sk1(sk2))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 in_environment(sk2,sk1(sk2))|~spl0_1),
% 0.12/0.37 inference(component_clause,[status(thm)],[f22])).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 ~environment(sk2)|in_environment(sk2,sk1(sk2))),
% 0.12/0.37 inference(resolution,[status(thm)],[f11,f15])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ~spl0_0|spl0_1),
% 0.12/0.37 inference(split_clause,[status(thm)],[f25,f19,f22])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 $false|spl0_0),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f21,f14])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 spl0_0),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f27])).
% 0.12/0.37 fof(f29,plain,(
% 0.12/0.37 subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2)))|~spl0_1),
% 0.12/0.37 inference(resolution,[status(thm)],[f23,f16])).
% 0.12/0.37 fof(f30,plain,(
% 0.12/0.37 greater_or_equal(sk3(sk1(sk2)),sk1(sk2))|~spl0_1),
% 0.12/0.37 inference(resolution,[status(thm)],[f23,f17])).
% 0.12/0.37 fof(f31,plain,(
% 0.12/0.37 spl0_2 <=> stable(sk2)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f33,plain,(
% 0.12/0.37 ~stable(sk2)|spl0_2),
% 0.12/0.37 inference(component_clause,[status(thm)],[f31])).
% 0.12/0.37 fof(f34,plain,(
% 0.12/0.37 spl0_3 <=> greater_or_equal(sk3(sk1(sk2)),sk1(sk2))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f36,plain,(
% 0.12/0.37 ~greater_or_equal(sk3(sk1(sk2)),sk1(sk2))|spl0_3),
% 0.12/0.37 inference(component_clause,[status(thm)],[f34])).
% 0.12/0.37 fof(f37,plain,(
% 0.12/0.37 spl0_4 <=> greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2))))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f38,plain,(
% 0.12/0.37 greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2))))|~spl0_4),
% 0.12/0.37 inference(component_clause,[status(thm)],[f37])).
% 0.12/0.37 fof(f40,plain,(
% 0.12/0.37 ~environment(sk2)|~stable(sk2)|~greater_or_equal(sk3(sk1(sk2)),sk1(sk2))|greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2))))|~spl0_1),
% 0.12/0.37 inference(resolution,[status(thm)],[f29,f13])).
% 0.12/0.37 fof(f41,plain,(
% 0.12/0.37 ~spl0_0|~spl0_2|~spl0_3|spl0_4|~spl0_1),
% 0.12/0.37 inference(split_clause,[status(thm)],[f40,f19,f31,f34,f37,f22])).
% 0.12/0.37 fof(f42,plain,(
% 0.12/0.37 $false|~spl0_1|spl0_3),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f36,f30])).
% 0.12/0.37 fof(f43,plain,(
% 0.12/0.37 ~spl0_1|spl0_3),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f42])).
% 0.12/0.37 fof(f44,plain,(
% 0.12/0.37 $false|spl0_2),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f33,f15])).
% 0.12/0.37 fof(f45,plain,(
% 0.12/0.37 spl0_2),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f44])).
% 0.12/0.37 fof(f46,plain,(
% 0.12/0.37 spl0_5 <=> ~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sk3(sk1(sk2)))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f47,plain,(
% 0.12/0.37 ![X0]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sk3(sk1(sk2)))|~spl0_5)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f46])).
% 0.12/0.37 fof(f49,plain,(
% 0.12/0.37 spl0_6 <=> selection_favors(efficient_producers,first_movers,sk3(sk1(sk2)))),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f50,plain,(
% 0.12/0.37 selection_favors(efficient_producers,first_movers,sk3(sk1(sk2)))|~spl0_6),
% 0.12/0.37 inference(component_clause,[status(thm)],[f49])).
% 0.12/0.37 fof(f52,plain,(
% 0.12/0.37 ![X0]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sk3(sk1(sk2)))|selection_favors(efficient_producers,first_movers,sk3(sk1(sk2)))|~spl0_4)),
% 0.12/0.37 inference(resolution,[status(thm)],[f38,f10])).
% 0.12/0.37 fof(f53,plain,(
% 0.12/0.37 spl0_5|spl0_6|~spl0_4),
% 0.12/0.37 inference(split_clause,[status(thm)],[f52,f46,f49,f37])).
% 0.12/0.37 fof(f54,plain,(
% 0.12/0.37 ~environment(sk2)|~spl0_5|~spl0_1),
% 0.12/0.37 inference(resolution,[status(thm)],[f47,f29])).
% 0.12/0.37 fof(f55,plain,(
% 0.12/0.37 ~spl0_0|~spl0_5|~spl0_1),
% 0.12/0.37 inference(split_clause,[status(thm)],[f54,f19,f46,f22])).
% 0.12/0.37 fof(f56,plain,(
% 0.12/0.37 ~in_environment(sk2,sk1(sk2))|~spl0_6),
% 0.12/0.37 inference(resolution,[status(thm)],[f50,f18])).
% 0.12/0.37 fof(f57,plain,(
% 0.12/0.37 $false|~spl0_1|~spl0_6),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f56,f23])).
% 0.12/0.37 fof(f58,plain,(
% 0.12/0.37 ~spl0_1|~spl0_6),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f57])).
% 0.12/0.37 fof(f59,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f26,f28,f41,f43,f45,f53,f55,f58])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.018054 seconds
% 0.12/0.39 % CPU time: 0.020389 seconds
% 0.12/0.39 % Total memory used: 5.541 MB
% 0.12/0.39 % Net memory used: 5.477 MB
%------------------------------------------------------------------------------