%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT024-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:25:18 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of formulae : 100 ( 9 unt; 11 def)
% Number of atoms : 375 ( 36 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 465 ( 190 ~; 264 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( in_environment(A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( greater(number_of_organizations(A,B),zero)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( ~ greater(equilibrium(A),B)
| ~ greater_or_equal(B,equilibrium(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [A,B] :
( constant(resources(A,B))
| greater(equilibrium(A),B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [A,B] :
( constant(number_of_organizations(A,B))
| ~ constant(resources(A,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [A,B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [A,B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
greater_or_equal(sk2,equilibrium(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( growth_rate(efficient_producers,sk2) != zero
| growth_rate(first_movers,sk2) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1] :
( ~ greater(equilibrium(X0),X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f28,plain,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f31,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(first_movers,B) = zero
| ! [A] :
( ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f32,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ! [A] :
( ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f34,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(first_movers,B) = zero
| ! [A] :
( ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f36,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f38,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(efficient_producers,X1) = zero
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(growth_rate(first_movers,B),zero)
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f40,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(efficient_producers,X1) = zero
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [B] :
( greater(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f42,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [B] :
( greater(zero,growth_rate(first_movers,B))
| greater(zero,growth_rate(efficient_producers,B))
| growth_rate(efficient_producers,B) = zero
| ! [A] :
( ~ constant(number_of_organizations(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f44,plain,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f46,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
greater_or_equal(sk2,equilibrium(sk1)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f48,plain,
( growth_rate(efficient_producers,sk2) != zero
| growth_rate(first_movers,sk2) != zero ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f49,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f50,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f51,definition,
( sQ0_spl
<=> growth_rate(first_movers,sk2) = zero ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f54,definition,
( sQ1_spl
<=> growth_rate(efficient_producers,sk2) = zero ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f55,plain,
( ~ sQ1_spl
| growth_rate(efficient_producers,sk2) = zero ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f48,f51,f54]) ).
fof(f58,definition,
( sQ2_spl
<=> greater(growth_rate(first_movers,sk2),zero) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f61,definition,
( sQ3_spl
<=> greater(zero,growth_rate(efficient_producers,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( sQ3_spl
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f49,f58,f61]) ).
fof(f65,definition,
( sQ4_spl
<=> greater(growth_rate(efficient_producers,sk2),zero) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( sQ4_spl
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,definition,
( sQ5_spl
<=> greater(zero,growth_rate(first_movers,sk2)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( sQ5_spl
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f50,f65,f68]) ).
fof(f72,plain,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f26,f28]) ).
fof(f73,plain,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f72]) ).
fof(f77,plain,
! [X0] :
( sQ4_spl
| greater(growth_rate(first_movers,sk2),zero)
| growth_rate(efficient_producers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f38,f67]) ).
fof(f78,definition,
! [X0] :
( sQ6_spl
<=> ( ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f79,plain,
! [X0] :
( ~ sQ6_spl
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( sQ4_spl
| sQ2_spl
| sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f77,f78,f54,f58,f65]) ).
fof(f82,plain,
! [X0] :
( sQ5_spl
| greater(growth_rate(first_movers,sk2),zero)
| growth_rate(first_movers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f70,f32]) ).
fof(f83,plain,
( sQ5_spl
| sQ2_spl
| sQ0_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f82,f78,f51,f58,f68]) ).
fof(f84,plain,
! [X0] :
( sQ4_spl
| greater(zero,growth_rate(efficient_producers,sk2))
| growth_rate(efficient_producers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f67,f42]) ).
fof(f86,plain,
( sQ4_spl
| sQ3_spl
| sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f84,f78,f54,f61,f65]) ).
fof(f88,plain,
! [X0] :
( ~ sQ6_spl
| greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ in_environment(X0,sk2)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f79,f73]) ).
fof(f89,plain,
! [X0] :
( ~ sQ6_spl
| greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ in_environment(X0,sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ sQ6_spl
| greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f22]) ).
fof(f91,plain,
! [X0] :
( ~ sQ6_spl
| greater(equilibrium(X0),sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f90,f23]) ).
fof(f92,plain,
( ~ sQ6_spl
| greater(equilibrium(sk1),sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f91,f46]) ).
fof(f93,definition,
( sQ7_spl
<=> environment(sk1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( sQ7_spl
| ~ environment(sk1) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ8_spl
<=> greater(equilibrium(sk1),sk2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ8_spl
| greater(equilibrium(sk1),sk2) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,plain,
( ~ sQ6_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f92,f93,f96,f78]) ).
fof(f100,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f95,f45]) ).
fof(f101,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ greater(zero,zero) ),
inference(backward_demodulation,[status(thm)],[f55,f67]) ).
fof(f107,plain,
! [X0] :
( ~ sQ1_spl
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,zero)
| growth_rate(first_movers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(paramodulation,[status(thm)],[f55,f34]) ).
fof(f108,definition,
( sQ9_spl
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ9_spl
| greater(zero,zero) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f115,plain,
( ~ sQ1_spl
| sQ4_spl
| sQ9_spl
| sQ0_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f107,f78,f51,f108,f65,f54]) ).
fof(f116,plain,
( ~ sQ9_spl
| sQ4_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f102]) ).
fof(f117,plain,
( ~ sQ9_spl
| sQ4_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f122,plain,
! [X0] :
( sQ5_spl
| greater(growth_rate(first_movers,sk2),zero)
| growth_rate(efficient_producers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f70,f40]) ).
fof(f124,plain,
( sQ5_spl
| sQ2_spl
| sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f122,f78,f54,f58,f68]) ).
fof(f126,plain,
! [X0] :
( sQ3_spl
| greater(zero,growth_rate(first_movers,sk2))
| growth_rate(efficient_producers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f63,f44]) ).
fof(f127,plain,
! [X0] :
( sQ3_spl
| greater(zero,growth_rate(first_movers,sk2))
| growth_rate(first_movers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f63,f36]) ).
fof(f128,plain,
! [X0] :
( sQ3_spl
| greater(growth_rate(efficient_producers,sk2),zero)
| growth_rate(first_movers,sk2) = zero
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f63,f34]) ).
fof(f129,plain,
( sQ3_spl
| sQ5_spl
| sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f126,f78,f54,f68,f61]) ).
fof(f130,plain,
( sQ3_spl
| sQ5_spl
| sQ0_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f127,f78,f51,f68,f61]) ).
fof(f131,plain,
( sQ3_spl
| sQ4_spl
| sQ0_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f128,f78,f51,f65,f61]) ).
fof(f133,plain,
( ~ sQ8_spl
| ~ greater_or_equal(sk2,equilibrium(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f97,f24]) ).
fof(f144,definition,
( sQ13_spl
<=> greater_or_equal(sk2,equilibrium(sk1)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ13_spl
| ~ greater_or_equal(sk2,equilibrium(sk1)) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f133,f93,f144,f96]) ).
fof(f148,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f47]) ).
fof(f149,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f64,f71,f81,f83,f86,f99,f101,f115,f117,f124,f129,f130,f131,f147,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT024-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:22:38 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.061556 seconds
% 0.14/0.42 % CPU time: 0.161490 seconds
% 0.14/0.42 % Total memory used: 81.140 MB
% 0.14/0.42 % Net memory used: 80.832 MB
%------------------------------------------------------------------------------