%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT023-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:25:42 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT023-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 01:21:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.32 fof(f1,hypothesis,(
% 0.03/0.32 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| B = critical_point(A) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f2,hypothesis,(
% 0.03/0.32 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| greater(sk1(B,A),B)| B = critical_point(A) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f3,hypothesis,(
% 0.03/0.32 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| B = critical_point(A) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f4,hypothesis,(
% 0.03/0.32 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,sk2(A)) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f5,hypothesis,(
% 0.03/0.32 (![A]: (( ~ environment(A)| ~ stable(A)| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f6,hypothesis,(
% 0.03/0.32 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ greater(B,sk2(A))| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ))),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f7,negated_conjecture,(
% 0.03/0.32 environment(sk3) ),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f8,negated_conjecture,(
% 0.03/0.32 stable(sk3) ),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f9,negated_conjecture,(
% 0.03/0.32 ~ in_environment(sk3,critical_point(sk3)) ),
% 0.03/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.32 fof(f10,plain,(
% 0.03/0.32 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|X1=critical_point(X0))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.32 fof(f11,plain,(
% 0.03/0.32 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|greater(sk1(X1,X0),X1)|X1=critical_point(X0))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.32 fof(f12,plain,(
% 0.03/0.32 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|X1=critical_point(X0))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.32 fof(f13,plain,(
% 0.03/0.32 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk2(X0)))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.32 fof(f14,plain,(
% 0.03/0.32 ![X0]: (~environment(X0)|~stable(X0)|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.32 fof(f15,plain,(
% 0.03/0.32 ![B]: ((![A]: (((~environment(A)|~stable(A))|~subpopulations(first_movers,efficient_producers,A,B))|~greater(B,sk2(A))))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)))),
% 0.03/0.32 inference(miniscoping,[status(thm)],[f6])).
% 0.03/0.32 fof(f16,plain,(
% 0.03/0.32 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater(X1,sk2(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f15])).
% 0.03/0.32 fof(f17,plain,(
% 0.03/0.32 environment(sk3)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.32 fof(f18,plain,(
% 0.03/0.32 stable(sk3)),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f8])).
% 0.03/0.32 fof(f19,plain,(
% 0.03/0.32 ~in_environment(sk3,critical_point(sk3))),
% 0.03/0.32 inference(cnf_transformation,[status(thm)],[f9])).
% 0.03/0.32 fof(f20,plain,(
% 0.03/0.32 ~environment(sk3)|in_environment(sk3,sk2(sk3))),
% 0.03/0.32 inference(resolution,[status(thm)],[f13,f18])).
% 0.03/0.32 fof(f21,plain,(
% 0.03/0.32 in_environment(sk3,sk2(sk3))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f20,f17])).
% 0.03/0.32 fof(f22,plain,(
% 0.03/0.32 ~environment(sk3)|greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))|greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(resolution,[status(thm)],[f11,f21])).
% 0.03/0.32 fof(f23,plain,(
% 0.03/0.32 greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))|greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f22,f17])).
% 0.03/0.32 fof(f24,plain,(
% 0.03/0.32 greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk2(sk3)=critical_point(sk3)|~environment(sk3)|~stable(sk3)),
% 0.03/0.32 inference(resolution,[status(thm)],[f23,f14])).
% 0.03/0.32 fof(f25,plain,(
% 0.03/0.32 greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk2(sk3)=critical_point(sk3)|~stable(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f24,f17])).
% 0.03/0.32 fof(f26,plain,(
% 0.03/0.32 greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f25,f18])).
% 0.03/0.32 fof(f27,plain,(
% 0.03/0.32 ~environment(sk3)|greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))|subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(resolution,[status(thm)],[f10,f21])).
% 0.03/0.32 fof(f28,plain,(
% 0.03/0.32 greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))|subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f27,f17])).
% 0.03/0.32 fof(f29,plain,(
% 0.03/0.32 subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|sk2(sk3)=critical_point(sk3)|~environment(sk3)|~stable(sk3)),
% 0.03/0.32 inference(resolution,[status(thm)],[f28,f14])).
% 0.03/0.32 fof(f30,plain,(
% 0.03/0.32 subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|sk2(sk3)=critical_point(sk3)|~stable(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f29,f17])).
% 0.03/0.32 fof(f31,plain,(
% 0.03/0.32 subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f30,f18])).
% 0.03/0.32 fof(f32,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|~environment(sk3)|~stable(sk3)|~greater(sk1(sk2(sk3),sk3),sk2(sk3))|greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))),
% 0.03/0.32 inference(resolution,[status(thm)],[f31,f16])).
% 0.03/0.32 fof(f33,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|~stable(sk3)|~greater(sk1(sk2(sk3),sk3),sk2(sk3))|greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f32,f17])).
% 0.03/0.32 fof(f34,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|~greater(sk1(sk2(sk3),sk3),sk2(sk3))|greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f33,f18])).
% 0.03/0.32 fof(f35,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(resolution,[status(thm)],[f34,f26])).
% 0.03/0.32 fof(f36,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))),
% 0.03/0.32 inference(duplicate_literals_removal,[status(thm)],[f35])).
% 0.03/0.32 fof(f37,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|~environment(sk3)|greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))|~in_environment(sk3,sk2(sk3))|sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(resolution,[status(thm)],[f36,f12])).
% 0.03/0.32 fof(f38,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|~environment(sk3)|greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))|~in_environment(sk3,sk2(sk3))),
% 0.03/0.32 inference(duplicate_literals_removal,[status(thm)],[f37])).
% 0.03/0.32 fof(f39,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))|~in_environment(sk3,sk2(sk3))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f38,f17])).
% 0.03/0.32 fof(f40,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f39,f21])).
% 0.03/0.32 fof(f41,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|~environment(sk3)|~stable(sk3)),
% 0.03/0.32 inference(resolution,[status(thm)],[f40,f14])).
% 0.03/0.32 fof(f42,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)|~stable(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f41,f17])).
% 0.03/0.32 fof(f47,plain,(
% 0.03/0.32 in_environment(sk3,critical_point(sk3))),
% 0.03/0.32 inference(backward_demodulation,[status(thm)],[f48,f21])).
% 0.03/0.32 fof(f48,plain,(
% 0.03/0.32 sk2(sk3)=critical_point(sk3)),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f42,f18])).
% 0.03/0.32 fof(f51,plain,(
% 0.03/0.32 $false),
% 0.03/0.32 inference(forward_subsumption_resolution,[status(thm)],[f47,f19])).
% 0.03/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.34 % Elapsed time: 0.036374 seconds
% 0.08/0.34 % CPU time: 0.086302 seconds
% 0.08/0.34 % Total memory used: 80.213 MB
% 0.08/0.34 % Net memory used: 79.709 MB
%------------------------------------------------------------------------------