%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT030+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:25:20 PM UTC 2026
% Result : Theorem 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 77 ( 5 unt; 12 def)
% Number of atoms : 280 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 338 ( 135 ~; 139 |; 43 &)
% ( 12 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 12 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 74 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E] :
( ( ? [To] :
( ! [T] :
( ( greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& in_environment(E,To) )
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
& in_environment(E,To) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& in_environment(E,To) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
& in_environment(E,To) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( ! [T] :
( ( greater(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
& in_environment(E,To) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [E] :
( ? [To] :
( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
& in_environment(E,To) )
| ! [To] :
( ? [T] :
( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
| ~ in_environment(E,To) )
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f6,definition,
! [E,To,T] :
( sP0_prd(T,To,E)
<=> ( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f7,plain,
! [E] :
( ? [To] :
( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
& in_environment(E,To) )
| ! [To] :
( ? [T] : sP0_prd(T,To,E)
| ~ in_environment(E,To) )
| ~ environment(E) ),
inference(formula_renaming,[status(thm)],[f5,f6]) ).
fof(f8,plain,
! [E] :
( ( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(T,sK1_skl(E))
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& ~ greater(growth_rate(efficient_producers,sK1_skl(E)),growth_rate(first_movers,sK1_skl(E)))
& in_environment(E,sK1_skl(E)) )
| ! [To] :
( sP0_prd(sK0_skl(To,E),To,E)
| ~ in_environment(E,To) )
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl(To,E)),skolemize(To,sK1_skl(E))],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( in_environment(X0,sK1_skl(X0))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK1_skl(X0)),growth_rate(first_movers,sK1_skl(X0)))
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f11,plain,
! [X0,X1,X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK1_skl(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| sP0_prd(sK0_skl(X1,X0),X1,X0)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f12,plain,
! [E] :
( ? [To] :
( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater_or_equal(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& in_environment(E,To) )
| ~ stable(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [E] :
( ( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater_or_equal(T,sK2_skl(E))
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& in_environment(E,sK2_skl(E)) )
| ~ stable(E)
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(To,sK2_skl(E))],[f12]) ).
fof(f14,plain,
! [X0] :
( in_environment(X0,sK2_skl(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sK2_skl(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f16,plain,
? [E] :
( ! [To] :
( ? [T] :
( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
& greater(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
| greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
| ~ in_environment(E,To) )
& stable(E)
& environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( ! [To] :
( ( ~ greater(growth_rate(efficient_producers,sK4_skl(To)),growth_rate(first_movers,sK4_skl(To)))
& greater(sK4_skl(To),To)
& subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(To)) )
| greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))
| ~ in_environment(sK3_skl,To) )
& stable(sK3_skl)
& environment(sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(E,sK3_skl),skolemize(T,sK4_skl(To))],[f16]) ).
fof(f18,plain,
environment(sK3_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
stable(sK3_skl),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(X0))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f21,plain,
! [X0] :
( greater(sK4_skl(X0),X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f22,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sK4_skl(X0)),growth_rate(first_movers,sK4_skl(X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sK3_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f23,plain,
! [E,To,T] :
( ( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater_or_equal(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| sP0_prd(T,To,E) )
& ( ( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
| ~ sP0_prd(T,To,E) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
( ! [E,To,T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater_or_equal(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| sP0_prd(T,To,E) )
& ! [E,To,T] :
( ( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) )
| ~ sP0_prd(T,To,E) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( subpopulations(first_movers,efficient_producers,X2,X0)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( greater_or_equal(X0,X1)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f29,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sK2_skl(sK3_skl))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X0)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f15,f19]) ).
fof(f30,definition,
( sQ0_spl
<=> environment(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f32,plain,
( sQ0_spl
| ~ environment(sK3_skl) ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,definition,
! [X0] :
( sQ1_spl
<=> ( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sK2_skl(sK3_skl))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f34,plain,
! [X0] :
( ~ sQ1_spl
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sK2_skl(sK3_skl))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X0) ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f29,f30,f33]) ).
fof(f37,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f18]) ).
fof(f38,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sP0_prd(X0,sK2_skl(sK3_skl),X1)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X0) ),
inference(resolution,[status(thm)],[f34,f26]) ).
fof(f40,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sP0_prd(X0,sK2_skl(sK3_skl),X1)
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f27]) ).
fof(f43,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,sK1_skl(sK3_skl))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X1)
| sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)
| ~ in_environment(sK3_skl,X0) ),
inference(resolution,[status(thm)],[f11,f18]) ).
fof(f44,definition,
! [X0] :
( sQ2_spl
<=> ( sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)
| ~ in_environment(sK3_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f45,plain,
! [X0] :
( ~ sQ2_spl
| sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)
| ~ in_environment(sK3_skl,X0) ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,definition,
! [X1] :
( sQ3_spl
<=> ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,sK1_skl(sK3_skl))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f48,plain,
! [X0] :
( ~ sQ3_spl
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(X0,sK1_skl(sK3_skl))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,X0) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f43,f44,f47]) ).
fof(f51,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,sK0_skl(sK2_skl(sK3_skl),sK3_skl))
| ~ in_environment(sK3_skl,sK2_skl(sK3_skl)) ),
inference(resolution,[status(thm)],[f45,f40]) ).
fof(f53,definition,
( sQ4_spl
<=> in_environment(sK3_skl,sK2_skl(sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( sQ4_spl
| ~ in_environment(sK3_skl,sK2_skl(sK3_skl)) ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
( sQ5_spl
<=> subpopulations(first_movers,efficient_producers,sK3_skl,sK0_skl(sK2_skl(sK3_skl),sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f58,plain,
( sQ5_spl
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,sK0_skl(sK2_skl(sK3_skl),sK3_skl)) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f51,f53,f56,f44,f33]) ).
fof(f60,plain,
! [X0] :
( sQ5_spl
| ~ sP0_prd(sK0_skl(sK2_skl(sK3_skl),sK3_skl),X0,sK3_skl) ),
inference(resolution,[status(thm)],[f58,f25]) ).
fof(f61,plain,
( ~ sQ3_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl)))
| ~ in_environment(sK3_skl,sK1_skl(sK3_skl))
| greater(growth_rate(efficient_producers,sK4_skl(sK1_skl(sK3_skl))),growth_rate(first_movers,sK4_skl(sK1_skl(sK3_skl))))
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK1_skl(sK3_skl))) ),
inference(resolution,[status(thm)],[f48,f21]) ).
fof(f62,definition,
( sQ6_spl
<=> subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK1_skl(sK3_skl))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( sQ6_spl
| ~ subpopulations(first_movers,efficient_producers,sK3_skl,sK4_skl(sK1_skl(sK3_skl))) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,definition,
( sQ7_spl
<=> greater(growth_rate(efficient_producers,sK4_skl(sK1_skl(sK3_skl))),growth_rate(first_movers,sK4_skl(sK1_skl(sK3_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f66,plain,
( ~ sQ7_spl
| greater(growth_rate(efficient_producers,sK4_skl(sK1_skl(sK3_skl))),growth_rate(first_movers,sK4_skl(sK1_skl(sK3_skl)))) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,definition,
( sQ8_spl
<=> in_environment(sK3_skl,sK1_skl(sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( sQ8_spl
| ~ in_environment(sK3_skl,sK1_skl(sK3_skl)) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ9_spl
<=> greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ9_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl))) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( ~ sQ3_spl
| sQ9_spl
| ~ sQ8_spl
| sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f61,f62,f65,f68,f71,f47]) ).
fof(f78,plain,
( sQ4_spl
| ~ stable(sK3_skl)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f55,f14]) ).
fof(f79,definition,
( sQ10_spl
<=> stable(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( sQ10_spl
| ~ stable(sK3_skl) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( sQ4_spl
| ~ sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f78,f30,f79,f53]) ).
fof(f83,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f19]) ).
fof(f84,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f83]) ).
fof(f85,plain,
( ~ sQ2_spl
| sQ5_spl
| ~ in_environment(sK3_skl,sK2_skl(sK3_skl)) ),
inference(resolution,[status(thm)],[f60,f45]) ).
fof(f86,plain,
( ~ sQ2_spl
| sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f85,f53,f56,f44]) ).
fof(f87,plain,
! [X0] :
( ~ sQ9_spl
| sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)
| ~ in_environment(sK3_skl,X0)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f72,f10]) ).
fof(f89,plain,
( ~ sQ9_spl
| sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f87,f30,f44,f71]) ).
fof(f90,plain,
! [X0] :
( sQ8_spl
| sP0_prd(sK0_skl(X0,sK3_skl),X0,sK3_skl)
| ~ in_environment(sK3_skl,X0)
| ~ environment(sK3_skl) ),
inference(resolution,[status(thm)],[f70,f9]) ).
fof(f91,plain,
( sQ8_spl
| sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f30,f44,f68]) ).
fof(f92,plain,
( sQ6_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl)))
| ~ in_environment(sK3_skl,sK1_skl(sK3_skl)) ),
inference(resolution,[status(thm)],[f64,f20]) ).
fof(f94,plain,
( sQ6_spl
| sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f92,f68,f71,f62]) ).
fof(f95,plain,
( ~ sQ7_spl
| greater(growth_rate(efficient_producers,sK1_skl(sK3_skl)),growth_rate(first_movers,sK1_skl(sK3_skl)))
| ~ in_environment(sK3_skl,sK1_skl(sK3_skl)) ),
inference(resolution,[status(thm)],[f66,f22]) ).
fof(f97,plain,
( ~ sQ7_spl
| sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f95,f68,f71,f65]) ).
fof(f98,plain,
$false,
inference(sat_refutation,[status(thm)],[f36,f38,f50,f59,f74,f82,f84,f86,f89,f91,f94,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT030+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:23:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41 % Elapsed time: 0.045061 seconds
% 0.15/0.41 % CPU time: 0.114847 seconds
% 0.15/0.41 % Total memory used: 17.229 MB
% 0.15/0.41 % Net memory used: 16.817 MB
%------------------------------------------------------------------------------