%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT028-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 27
% Syntax : Number of formulae : 96 ( 7 unt; 14 def)
% Number of atoms : 335 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 449 ( 210 ~; 225 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 15 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( greater(sk2(A),appear(efficient_producers,A))
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( greater(sk2(A),appear(efficient_producers,A))
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] :
( greater(zero,growth_rate(first_movers,C))
| ~ greater_or_equal(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] :
( greater(zero,growth_rate(first_movers,C))
| ~ greater_or_equal(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( greater(sk2(A),appear(efficient_producers,A))
| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C] :
( greater(zero,growth_rate(first_movers,C))
| ~ greater_or_equal(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [A] :
( in_environment(A,sk3(A))
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| ~ greater_or_equal(B,sk3(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ stable(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
environment(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
stable(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [A] :
( subpopulations(first_movers,efficient_producers,sk4,sk5(A))
| ~ greater(A,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [A] :
( greater_or_equal(sk5(A),A)
| ~ greater(A,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [A] :
( ~ greater(zero,growth_rate(first_movers,sk5(A)))
| ~ greater(A,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [A] :
( greater(sk2(A),appear(efficient_producers,A))
| ! [B] :
( subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( greater(sk2(X0),appear(efficient_producers,X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [A] :
( greater(sk2(A),appear(efficient_producers,A))
| ! [B] :
( greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( greater(sk2(X0),appear(efficient_producers,X0))
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [C] :
( greater(zero,growth_rate(first_movers,C))
| ! [A] :
( ~ greater_or_equal(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ! [B] :
( subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0,X1,X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [C] :
( greater(zero,growth_rate(first_movers,C))
| ! [A] :
( ~ greater_or_equal(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ! [B] :
( greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [A] :
( greater(sk2(A),appear(efficient_producers,A))
| ! [B] :
( ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f24,plain,
! [X0,X1] :
( greater(sk2(X0),appear(efficient_producers,X0))
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [C] :
( greater(zero,growth_rate(first_movers,C))
| ! [A] :
( ~ greater_or_equal(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ! [B] :
( ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ stable(A)
| ~ environment(A) ) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f26,plain,
! [X0,X1,X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0] :
( in_environment(X0,sk3(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f30,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| ! [A] :
( ~ greater_or_equal(B,sk3(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ stable(A)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
environment(sk4),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
stable(sk4),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk4,sk5(X0))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f35,plain,
! [X0] :
( greater_or_equal(sk5(X0),X0)
| ~ greater(X0,appear(efficient_producers,sk4)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f36,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f37,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f31,f33]) ).
fof(f38,definition,
( sQ0_spl
<=> environment(sk4) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f40,plain,
( sQ0_spl
| ~ environment(sk4) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,definition,
! [X0] :
( sQ1_spl
<=> ( greater(zero,growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f42,plain,
! [X0] :
( ~ sQ1_spl
| greater(zero,growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0) ),
inference(component_clause,[status(thm)],[f41]) ).
fof(f44,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f38,f41]) ).
fof(f45,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f40,f32]) ).
fof(f46,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f45]) ).
fof(f58,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| greater_or_equal(sk1(X0,sk4),X0)
| ~ in_environment(sk4,X0)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f22,f33]) ).
fof(f59,definition,
! [X0] :
( sQ5_spl
<=> ( greater_or_equal(sk1(X0,sk4),X0)
| ~ in_environment(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f60,plain,
! [X0] :
( ~ sQ5_spl
| greater_or_equal(sk1(X0,sk4),X0)
| ~ in_environment(sk4,X0) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,definition,
! [X1] :
( sQ6_spl
<=> ( greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f63,plain,
! [X0] :
( ~ sQ6_spl
| greater(zero,growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( sQ6_spl
| sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f38,f59,f62]) ).
fof(f66,plain,
( ~ sQ5_spl
| ~ stable(sk4)
| ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolution,[status(thm)],[f60,f27]) ).
fof(f67,definition,
( sQ7_spl
<=> greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( ~ sQ7_spl
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,definition,
( sQ8_spl
<=> stable(sk4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( sQ8_spl
| ~ stable(sk4) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f66,f67,f38,f70,f59]) ).
fof(f74,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f33]) ).
fof(f75,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f74]) ).
fof(f76,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolution,[status(thm)],[f68,f42]) ).
fof(f77,definition,
( sQ9_spl
<=> subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( sQ9_spl
| ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,definition,
( sQ10_spl
<=> greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ10_spl
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f76,f77,f80,f67,f41]) ).
fof(f84,plain,
! [X0] :
( ~ sQ10_spl
| greater(zero,growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ in_environment(sk4,sk3(sk4))
| ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f81,f26]) ).
fof(f85,definition,
( sQ11_spl
<=> in_environment(sk4,sk3(sk4)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( sQ11_spl
| ~ in_environment(sk4,sk3(sk4)) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( ~ sQ10_spl
| sQ6_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f84,f38,f70,f85,f62,f80]) ).
fof(f89,plain,
( ~ sQ6_spl
| ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolution,[status(thm)],[f63,f35]) ).
fof(f90,definition,
( sQ12_spl
<=> subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( sQ12_spl
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ13_spl
<=> greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ13_spl
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ14_spl
<=> greater(sk2(sk4),appear(efficient_producers,sk4)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( sQ14_spl
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f89,f90,f93,f96,f62]) ).
fof(f100,plain,
! [X0] :
( sQ14_spl
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ in_environment(sk4,X0)
| ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f98,f16]) ).
fof(f101,plain,
! [X0] :
( sQ14_spl
| greater_or_equal(sk1(X0,sk4),X0)
| ~ in_environment(sk4,X0)
| ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f98,f18]) ).
fof(f102,plain,
! [X0] :
( sQ14_spl
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0)
| ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f98,f24]) ).
fof(f103,definition,
! [X0] :
( sQ15_spl
<=> ( subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ in_environment(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f104,plain,
! [X0] :
( ~ sQ15_spl
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ in_environment(sk4,X0) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ14_spl
| sQ15_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f100,f38,f70,f103,f96]) ).
fof(f107,plain,
( sQ14_spl
| sQ5_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f101,f38,f70,f59,f96]) ).
fof(f108,definition,
! [X0] :
( sQ16_spl
<=> ( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f109,plain,
! [X0] :
( ~ sQ16_spl
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ14_spl
| sQ16_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f102,f38,f70,f108,f96]) ).
fof(f112,plain,
( sQ11_spl
| ~ stable(sk4)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f87,f27]) ).
fof(f113,plain,
( sQ11_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f112,f38,f70,f85]) ).
fof(f114,plain,
( ~ sQ13_spl
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[f94,f36]) ).
fof(f115,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f114,f96,f93]) ).
fof(f116,plain,
( sQ12_spl
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[f92,f34]) ).
fof(f117,plain,
( sQ12_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f116,f96,f90]) ).
fof(f128,plain,
( sQ9_spl
| ~ sQ15_spl
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[f104,f79]) ).
fof(f129,plain,
( sQ9_spl
| ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f128,f85,f103,f77]) ).
fof(f130,plain,
( ~ sQ16_spl
| ~ sQ10_spl
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[f81,f109]) ).
fof(f132,plain,
( ~ sQ16_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f130,f85,f80,f108]) ).
fof(f134,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ in_environment(sk4,X0)
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[f20,f33]) ).
fof(f135,plain,
( sQ6_spl
| sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f134,f38,f103,f62]) ).
fof(f136,plain,
$false,
inference(sat_refutation,[status(thm)],[f44,f46,f65,f73,f75,f83,f88,f99,f106,f107,f111,f113,f115,f117,f129,f132,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT028-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.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 01:21:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.033273 seconds
% 0.14/0.41 % CPU time: 0.086836 seconds
% 0.14/0.41 % Total memory used: 9.303 MB
% 0.14/0.41 % Net memory used: 9.102 MB
%------------------------------------------------------------------------------