%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT036-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 01:25:22 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 107 ( 12 unt; 12 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 428 ( 217 ~; 199 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 13 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 218 ( 218 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] :
( subpopulations(C,B,A,D)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( in_environment(A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] :
( ~ greater(zero,growth_rate(B,C))
| environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] :
( ~ greater(zero,growth_rate(A,D))
| subpopulations(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( ~ greater(zero,growth_rate(A,B))
| ~ greater_or_equal(growth_rate(A,B),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D] :
( greater_or_equal(growth_rate(A,B),zero)
| ~ subpopulations(A,D,C,B)
| ~ environment(C)
| greater(zero,growth_rate(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [A,B,C,D] :
( outcompetes(C,B,D)
| ~ greater(zero,growth_rate(B,D))
| ~ greater_or_equal(growth_rate(C,D),zero)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
! [A,B,C,D] :
( greater_or_equal(growth_rate(C,D),zero)
| ~ outcompetes(C,B,D)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [A,B,C,D] :
( greater(zero,growth_rate(B,D))
| ~ outcompetes(C,B,D)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [A,B,C,D] :
( ~ greater(zero,growth_rate(D,B))
| ~ greater(resilience(D),resilience(C))
| greater(zero,growth_rate(C,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
( ! [B,C] : ~ greater(zero,growth_rate(B,C))
| ! [A] : environment(A) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ greater(zero,growth_rate(X1,X2))
| environment(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [A,D] :
( ~ greater(zero,growth_rate(A,D))
| ! [B,C] : subpopulations(A,B,C,D) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ greater(zero,growth_rate(X0,X3))
| subpopulations(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| ~ greater_or_equal(growth_rate(X0,X1),zero) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [A,B] :
( greater_or_equal(growth_rate(A,B),zero)
| ! [C] :
( ! [D] : ~ subpopulations(A,D,C,B)
| ~ environment(C)
| greater(zero,growth_rate(A,B)) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( greater_or_equal(growth_rate(X0,X1),zero)
| ~ subpopulations(X0,X3,X2,X1)
| ~ environment(X2)
| greater(zero,growth_rate(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [B,C,D] :
( outcompetes(C,B,D)
| ~ greater(zero,growth_rate(B,D))
| ~ greater_or_equal(growth_rate(C,D),zero)
| ! [A] :
( ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [C,D] :
( greater_or_equal(growth_rate(C,D),zero)
| ! [B] :
( ~ outcompetes(C,B,D)
| ! [A] :
( ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( greater_or_equal(growth_rate(X2,X3),zero)
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [B,D] :
( greater(zero,growth_rate(B,D))
| ! [C] :
( ~ outcompetes(C,B,D)
| ! [A] :
( ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( greater(zero,growth_rate(X1,X3))
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [B,D] :
( ~ greater(zero,growth_rate(D,B))
| ! [C] :
( ~ greater(resilience(D),resilience(C))
| greater(zero,growth_rate(C,B))
| ! [A] :
( ~ in_environment(A,B)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f36,definition,
! [X0] :
( sQ0_spl
<=> environment(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f37,plain,
! [X0] :
( ~ sQ0_spl
| environment(X0) ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,definition,
! [X1,X2] :
( sQ1_spl
<=> ~ greater(zero,growth_rate(X1,X2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f40,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(zero,growth_rate(X0,X1)) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f36,f39]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| subpopulations(X1,X0,X2,X3)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f15,f37]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| greater_or_equal(growth_rate(X1,X3),zero)
| ~ outcompetes(X1,X0,X3)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f27,f37]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| greater(zero,growth_rate(X0,X3))
| ~ outcompetes(X1,X0,X3)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f37]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| subpopulations(X0,X4,X5,X3)
| ~ outcompetes(X1,X0,X3)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f45,f20]) ).
fof(f48,plain,
! [X0,X1] :
( ~ sQ0_spl
| in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f16,f37]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ outcompetes(X0,X2,X1)
| ~ subpopulations(X2,X0,X3,X1)
| ~ greater(zero,growth_rate(X0,X1)) ),
inference(resolution,[status(thm)],[f21,f44]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ outcompetes(X4,X1,X3)
| ~ subpopulations(X1,X4,X5,X3)
| ~ outcompetes(X1,X0,X3)
| ~ subpopulations(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f49,f45]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ subpopulations(efficient_producers,first_movers,X2,sk2)
| ~ outcompetes(efficient_producers,X0,sk2)
| ~ subpopulations(X0,efficient_producers,X1,sk2) ),
inference(resolution,[status(thm)],[f50,f35]) ).
fof(f53,definition,
! [X0,X1] :
( sQ2_spl
<=> ( ~ outcompetes(efficient_producers,X0,sk2)
| ~ subpopulations(X0,efficient_producers,X1,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f54,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ outcompetes(efficient_producers,X0,sk2)
| ~ subpopulations(X0,efficient_producers,X1,sk2) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
! [X2] :
( sQ3_spl
<=> ~ subpopulations(efficient_producers,first_movers,X2,sk2) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f57,plain,
! [X0] :
( ~ sQ3_spl
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( ~ sQ0_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f53,f56,f36]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( outcompetes(X1,X3,X2)
| ~ greater(zero,growth_rate(X3,X2))
| ~ greater_or_equal(growth_rate(X1,X2),zero)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f20]) ).
fof(f61,plain,
! [X0,X1,X2] :
( subpopulations(X1,X0,sk1,X2)
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[status(thm)],[f15,f33]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ outcompetes(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f40]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ outcompetes(X1,X0,X2)
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[status(thm)],[f62,f33]) ).
fof(f64,plain,
( ~ sQ1_spl
| ~ subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(resolution,[status(thm)],[f63,f35]) ).
fof(f65,plain,
( ~ sQ3_spl
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[status(thm)],[f61,f57]) ).
fof(f66,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f34]) ).
fof(f67,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f66]) ).
fof(f68,plain,
( ~ sQ1_spl
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[status(thm)],[f64,f61]) ).
fof(f69,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f34]) ).
fof(f70,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f69]) ).
fof(f71,definition,
! [X0] :
( sQ4_spl
<=> ~ environment(X0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f72,plain,
! [X0] :
( ~ sQ4_spl
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,definition,
! [X1,X2,X3] :
( sQ5_spl
<=> ( outcompetes(X1,X3,X2)
| ~ greater(zero,growth_rate(X3,X2))
| ~ greater_or_equal(growth_rate(X1,X2),zero) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| outcompetes(X0,X2,X1)
| ~ greater(zero,growth_rate(X2,X1))
| ~ greater_or_equal(growth_rate(X0,X1),zero) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f60,f71,f74]) ).
fof(f79,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f37]) ).
fof(f80,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f79]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f37]) ).
fof(f86,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ in_environment(X0,X1) ),
inference(resolution,[status(thm)],[f85,f30]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| greater_or_equal(growth_rate(X0,X1),zero)
| ~ subpopulations(X0,X2,X3,X1)
| greater(zero,growth_rate(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f37]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ sQ0_spl
| outcompetes(X0,X4,X1)
| ~ greater(zero,growth_rate(X4,X1))
| ~ subpopulations(X0,X2,X3,X1)
| greater(zero,growth_rate(X0,X1)) ),
inference(resolution,[status(thm)],[f87,f75]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ0_spl
| ~ sQ5_spl
| ~ outcompetes(X5,X4,X1)
| ~ subpopulations(X4,X5,X6,X1)
| outcompetes(X0,X4,X1)
| ~ subpopulations(X0,X2,X3,X1)
| greater(zero,growth_rate(X0,X1)) ),
inference(resolution,[status(thm)],[f88,f45]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ sQ5_spl
| ~ subpopulations(efficient_producers,first_movers,X3,sk2)
| outcompetes(X0,efficient_producers,sk2)
| ~ subpopulations(X0,X1,X2,sk2)
| greater(zero,growth_rate(X0,sk2)) ),
inference(resolution,[status(thm)],[f90,f35]) ).
fof(f92,definition,
! [X0,X1,X2] :
( sQ6_spl
<=> ( outcompetes(X0,efficient_producers,sk2)
| ~ subpopulations(X0,X1,X2,sk2)
| greater(zero,growth_rate(X0,sk2)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| outcompetes(X0,efficient_producers,sk2)
| ~ subpopulations(X0,X1,X2,sk2)
| greater(zero,growth_rate(X0,sk2)) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f91,f92,f56,f74,f36]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ6_spl
| ~ subpopulations(efficient_producers,efficient_producers,X2,sk2)
| ~ subpopulations(efficient_producers,X0,X1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[status(thm)],[f93,f54]) ).
fof(f98,definition,
( sQ7_spl
<=> greater(zero,growth_rate(efficient_producers,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ7_spl
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
! [X0,X1] :
( sQ8_spl
<=> ~ subpopulations(efficient_producers,X0,X1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f102,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ subpopulations(efficient_producers,X0,X1,sk2) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
! [X2] :
( sQ9_spl
<=> ~ subpopulations(efficient_producers,efficient_producers,X2,sk2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f105,plain,
! [X0] :
( ~ sQ9_spl
| ~ subpopulations(efficient_producers,efficient_producers,X0,sk2) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f96,f98,f101,f104,f92,f53]) ).
fof(f112,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sQ9_spl
| ~ outcompetes(X0,efficient_producers,sk2)
| ~ subpopulations(efficient_producers,X0,X1,sk2) ),
inference(resolution,[status(thm)],[f105,f46]) ).
fof(f114,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ9_spl
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(resolution,[status(thm)],[f112,f35]) ).
fof(f116,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f114,f56,f104,f36]) ).
fof(f124,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ greater(zero,growth_rate(efficient_producers,X0))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[status(thm)],[f86,f48]) ).
fof(f134,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sQ8_spl
| ~ subpopulations(X0,efficient_producers,X1,sk2) ),
inference(resolution,[status(thm)],[f102,f43]) ).
fof(f135,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f34,f134]) ).
fof(f138,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f135]) ).
fof(f148,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[f124,f99]) ).
fof(f150,definition,
( sQ12_spl
<=> greater(zero,growth_rate(first_movers,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ12_spl
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
! [X0] :
( sQ13_spl
<=> ~ subpopulations(first_movers,efficient_producers,X0,sk2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f154,plain,
! [X0] :
( ~ sQ13_spl
| ~ subpopulations(first_movers,efficient_producers,X0,sk2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f148,f150,f153,f36,f98]) ).
fof(f159,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sQ12_spl
| ~ outcompetes(first_movers,X0,sk2)
| ~ subpopulations(X0,first_movers,X1,sk2) ),
inference(resolution,[status(thm)],[f151,f49]) ).
fof(f184,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ12_spl
| ~ subpopulations(efficient_producers,first_movers,X0,sk2) ),
inference(resolution,[status(thm)],[f159,f35]) ).
fof(f187,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f184,f56,f150,f36]) ).
fof(f196,plain,
( ~ sQ13_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f34,f154]) ).
fof(f199,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f196]) ).
fof(f200,plain,
$false,
inference(sat_refutation,[status(thm)],[f42,f59,f67,f70,f77,f80,f95,f107,f116,f138,f156,f187,f199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n004.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 01:22:27 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.10/5.39 % Refutation found
% 0.10/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.41 % Elapsed time: 0.036012 seconds
% 0.14/5.41 % CPU time: 0.095145 seconds
% 0.14/5.41 % Total memory used: 11.316 MB
% 0.14/5.41 % Net memory used: 11.085 MB
%------------------------------------------------------------------------------