%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT040+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 01:25:48 PM UTC 2026
% Result : CounterSatisfiable 0.15s 0.40s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P] :
( ( ! [E] :
( ( in_environment(P,E)
& environment(E) )
=> selection_favors(efficient_producers,first_movers,end_time(E)) )
& propagation_strategy(efficient_producers)
& propagation_strategy(first_movers)
& observational_period(P) )
=> selection_favors(efficient_producers,first_movers,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P] :
( ( rapid_change(P)
& observational_period(P) )
=> ! [E] :
( ( in_environment(P,E)
& environment(E) )
=> ~ in_environment(E,critical_point(E)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P] :
( ( ~ extreme(P)
& observational_period(P) )
=> ! [E] :
( ( in_environment(P,E)
& environment(E) )
=> ~ empty(E) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [E] :
( environment(E)
=> in_environment(E,end_time(E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [E] :
( ( ~ in_environment(E,critical_point(E))
& environment(E) )
=> greater(critical_point(E),end_time(E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [E] :
( ( ~ empty(E)
& environment(E) )
=> greater_or_equal(end_time(E),appear(an_organisation,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [E] :
( ( greater_or_equal(end_time(E),appear(an_organisation,E))
& environment(E) )
=> in_environment(E,appear(an_organisation,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [E,T] :
( ( ( in_environment(E,critical_point(E))
=> selection_favors(first_movers,efficient_producers,T) )
& greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& environment(E) )
=> ( ~ in_environment(E,critical_point(E))
=> selection_favors(first_movers,efficient_producers,end_time(E)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [E,T] :
( ( ~ greater(appear(efficient_producers,E),T)
& in_environment(E,T) )
=> greater_or_equal(T,appear(efficient_producers,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
! [E,T] :
( ( greater(appear(efficient_producers,E),T)
& greater_or_equal(T,appear(first_movers,E))
& in_environment(E,T)
& environment(E) )
=> selection_favors(first_movers,efficient_producers,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [E,T] :
( ( greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,critical_point(E))
& environment(E) )
=> selection_favors(first_movers,efficient_producers,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [E] :
( ( in_environment(E,appear(an_organisation,E))
& environment(E) )
=> appear(an_organisation,E) = appear(first_movers,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
! [P] :
( ( ~ extreme(P)
& rapid_change(P)
& observational_period(P) )
=> selection_favors(first_movers,efficient_producers,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ ! [P] :
( ( ~ extreme(P)
& rapid_change(P)
& observational_period(P) )
=> selection_favors(first_movers,efficient_producers,P) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,plain,
! [P] :
( selection_favors(efficient_producers,first_movers,P)
| ? [E] :
( ~ selection_favors(efficient_producers,first_movers,end_time(E))
& in_environment(P,E)
& environment(E) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [P] :
( selection_favors(efficient_producers,first_movers,P)
| ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0_skl(P)))
& in_environment(P,sK0_skl(P))
& environment(sK0_skl(P)) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(P) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(E,sK0_skl(P))],[f18]) ).
fof(f20,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK0_skl(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0_skl(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0_skl(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f23,plain,
! [P] :
( ! [E] :
( ~ in_environment(E,critical_point(E))
| ~ in_environment(P,E)
| ~ environment(E) )
| ~ rapid_change(P)
| ~ observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in_environment(X1,critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ rapid_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [P] :
( ! [E] :
( ~ empty(E)
| ~ in_environment(P,E)
| ~ environment(E) )
| extreme(P)
| ~ observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in_environment(X0,X1)
| ~ environment(X1)
| extreme(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f29,plain,
! [E] :
( in_environment(E,end_time(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f30,plain,
! [X0] :
( in_environment(X0,end_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [E] :
( greater(critical_point(E),end_time(E))
| in_environment(E,critical_point(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
! [X0] :
( greater(critical_point(X0),end_time(X0))
| in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [E] :
( greater_or_equal(end_time(E),appear(an_organisation,E))
| empty(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
! [X0] :
( greater_or_equal(end_time(X0),appear(an_organisation,X0))
| empty(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
! [E] :
( in_environment(E,appear(an_organisation,E))
| ~ greater_or_equal(end_time(E),appear(an_organisation,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
! [X0] :
( in_environment(X0,appear(an_organisation,X0))
| ~ greater_or_equal(end_time(X0),appear(an_organisation,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [E,T] :
( selection_favors(first_movers,efficient_producers,end_time(E))
| in_environment(E,critical_point(E))
| ( ~ selection_favors(first_movers,efficient_producers,T)
& in_environment(E,critical_point(E)) )
| ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
! [E] :
( selection_favors(first_movers,efficient_producers,end_time(E))
| in_environment(E,critical_point(E))
| ! [T] :
( ( ~ selection_favors(first_movers,efficient_producers,T)
& in_environment(E,critical_point(E)) )
| ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( selection_favors(first_movers,efficient_producers,end_time(X0))
| in_environment(X0,critical_point(X0))
| in_environment(X0,critical_point(X0))
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
! [X,Y] :
( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f42,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [E,T] :
( greater_or_equal(T,appear(efficient_producers,E))
| greater(appear(efficient_producers,E),T)
| ~ in_environment(E,T) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f44,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| greater(appear(efficient_producers,X0),X1)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [E,T] :
( selection_favors(first_movers,efficient_producers,T)
| ~ greater(appear(efficient_producers,E),T)
| ~ greater_or_equal(T,appear(first_movers,E))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f46,plain,
! [T] :
( selection_favors(first_movers,efficient_producers,T)
| ! [E] :
( ~ greater(appear(efficient_producers,E),T)
| ~ greater_or_equal(T,appear(first_movers,E))
| ~ in_environment(E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( selection_favors(first_movers,efficient_producers,X1)
| ~ greater(appear(efficient_producers,X0),X1)
| ~ greater_or_equal(X1,appear(first_movers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [E,T] :
( selection_favors(first_movers,efficient_producers,T)
| ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,critical_point(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f49,plain,
! [T] :
( selection_favors(first_movers,efficient_producers,T)
| ! [E] :
( ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,critical_point(E))
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( selection_favors(first_movers,efficient_producers,X1)
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [E] :
( appear(an_organisation,E) = appear(first_movers,E)
| ~ in_environment(E,appear(an_organisation,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f52,plain,
! [X0] :
( appear(an_organisation,X0) = appear(first_movers,X0)
| ~ in_environment(X0,appear(an_organisation,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
? [P] :
( ~ selection_favors(first_movers,efficient_producers,P)
& ~ extreme(P)
& rapid_change(P)
& observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f54,plain,
( ~ selection_favors(first_movers,efficient_producers,sK1_skl)
& ~ extreme(sK1_skl)
& rapid_change(sK1_skl)
& observational_period(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(P,sK1_skl)],[f53]) ).
fof(f55,plain,
observational_period(sK1_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
rapid_change(sK1_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f57,plain,
~ extreme(sK1_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f58,plain,
~ selection_favors(first_movers,efficient_producers,sK1_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f59,definition,
! [X0] :
( sQ0_spl
<=> ( selection_favors(efficient_producers,first_movers,X0)
| environment(sK0_skl(X0))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f60,plain,
! [X0] :
( ~ sQ0_spl
| selection_favors(efficient_producers,first_movers,X0)
| environment(sK0_skl(X0))
| ~ observational_period(X0) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,definition,
( sQ1_spl
<=> propagation_strategy(first_movers) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( sQ1_spl
| ~ propagation_strategy(first_movers) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,definition,
( sQ2_spl
<=> propagation_strategy(efficient_producers) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( sQ2_spl
| ~ propagation_strategy(efficient_producers) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f59,f62,f65]) ).
fof(f69,definition,
! [X0] :
( sQ3_spl
<=> ( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0_skl(X0))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f70,plain,
! [X0] :
( ~ sQ3_spl
| selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0_skl(X0))
| ~ observational_period(X0) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f21,f69,f62,f65]) ).
fof(f73,definition,
! [X0] :
( sQ4_spl
<=> ( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0_skl(X0)))
| ~ observational_period(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f74,plain,
! [X0] :
( ~ sQ4_spl
| selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0_skl(X0)))
| ~ observational_period(X0) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f22,f73,f62,f65]) ).
fof(f77,plain,
! [X0,X1] :
( selection_favors(first_movers,efficient_producers,end_time(X0))
| in_environment(X0,critical_point(X0))
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f39]) ).
fof(f78,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f28]) ).
fof(f79,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f27]) ).
fof(f81,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f80]) ).
fof(f82,plain,
( ~ sQ0_spl
| selection_favors(efficient_producers,first_movers,sK1_skl)
| environment(sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f60,f55]) ).
fof(f83,definition,
( sQ5_spl
<=> environment(sK0_skl(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ5_spl
| environment(sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ6_spl
<=> selection_favors(efficient_producers,first_movers,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ6_spl
| selection_favors(efficient_producers,first_movers,sK1_skl) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( ~ sQ0_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f82,f83,f86,f59]) ).
fof(f90,plain,
( ~ sQ5_spl
| in_environment(sK0_skl(sK1_skl),end_time(sK0_skl(sK1_skl))) ),
inference(resolution,[status(thm)],[f84,f30]) ).
fof(f91,plain,
( ~ sQ5_spl
| greater(critical_point(sK0_skl(sK1_skl)),end_time(sK0_skl(sK1_skl)))
| in_environment(sK0_skl(sK1_skl),critical_point(sK0_skl(sK1_skl))) ),
inference(resolution,[status(thm)],[f32,f84]) ).
fof(f92,definition,
( sQ7_spl
<=> in_environment(sK0_skl(sK1_skl),critical_point(sK0_skl(sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f95,definition,
( sQ8_spl
<=> greater(critical_point(sK0_skl(sK1_skl)),end_time(sK0_skl(sK1_skl))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ8_spl
| greater(critical_point(sK0_skl(sK1_skl)),end_time(sK0_skl(sK1_skl))) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( ~ sQ5_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f91,f92,f95,f83]) ).
fof(f99,plain,
( ~ sQ3_spl
| selection_favors(efficient_producers,first_movers,sK1_skl)
| in_environment(sK1_skl,sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f70,f55]) ).
fof(f100,definition,
( sQ9_spl
<=> in_environment(sK1_skl,sK0_skl(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ9_spl
| in_environment(sK1_skl,sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( ~ sQ3_spl
| sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f99,f100,f86,f69]) ).
fof(f104,plain,
( ~ sQ9_spl
| greater_or_equal(sK0_skl(sK1_skl),appear(efficient_producers,sK1_skl))
| greater(appear(efficient_producers,sK1_skl),sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f101,f44]) ).
fof(f105,plain,
( ~ sQ9_spl
| ~ empty(sK0_skl(sK1_skl))
| ~ environment(sK0_skl(sK1_skl))
| extreme(sK1_skl)
| ~ observational_period(sK1_skl) ),
inference(resolution,[status(thm)],[f101,f26]) ).
fof(f106,definition,
( sQ10_spl
<=> greater(appear(efficient_producers,sK1_skl),sK0_skl(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ10_spl
| greater(appear(efficient_producers,sK1_skl),sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ11_spl
<=> greater_or_equal(sK0_skl(sK1_skl),appear(efficient_producers,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ11_spl
| greater_or_equal(sK0_skl(sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( ~ sQ9_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f104,f106,f109,f100]) ).
fof(f113,definition,
( sQ12_spl
<=> observational_period(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( sQ12_spl
| ~ observational_period(sK1_skl) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ13_spl
<=> extreme(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ13_spl
| extreme(sK1_skl) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ14_spl
<=> empty(sK0_skl(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( sQ14_spl
| ~ empty(sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( ~ sQ9_spl
| ~ sQ14_spl
| ~ sQ5_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f105,f113,f116,f83,f119,f100]) ).
fof(f123,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f57]) ).
fof(f124,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f55]) ).
fof(f126,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( ~ sQ11_spl
| selection_favors(first_movers,efficient_producers,sK0_skl(sK1_skl))
| ~ greater(critical_point(sK1_skl),sK0_skl(sK1_skl))
| ~ in_environment(sK1_skl,critical_point(sK1_skl))
| ~ environment(sK1_skl) ),
inference(resolution,[status(thm)],[f110,f50]) ).
fof(f128,plain,
( ~ sQ11_spl
| selection_favors(first_movers,efficient_producers,end_time(sK1_skl))
| in_environment(sK1_skl,critical_point(sK1_skl))
| ~ greater(critical_point(sK1_skl),sK0_skl(sK1_skl))
| ~ environment(sK1_skl) ),
inference(resolution,[status(thm)],[f110,f77]) ).
fof(f129,plain,
( ~ sQ11_spl
| sK0_skl(sK1_skl) = appear(efficient_producers,sK1_skl)
| greater(sK0_skl(sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(resolution,[status(thm)],[f110,f42]) ).
fof(f130,definition,
( sQ15_spl
<=> environment(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ15_spl
| ~ environment(sK1_skl) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ16_spl
<=> in_environment(sK1_skl,critical_point(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f136,definition,
( sQ17_spl
<=> greater(critical_point(sK1_skl),sK0_skl(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( sQ17_spl
| ~ greater(critical_point(sK1_skl),sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ18_spl
<=> selection_favors(first_movers,efficient_producers,sK0_skl(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ18_spl
| selection_favors(first_movers,efficient_producers,sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( ~ sQ11_spl
| sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f127,f130,f133,f136,f139,f109]) ).
fof(f143,definition,
( sQ19_spl
<=> selection_favors(first_movers,efficient_producers,end_time(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ19_spl
| selection_favors(first_movers,efficient_producers,end_time(sK1_skl)) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( ~ sQ11_spl
| sQ19_spl
| sQ16_spl
| ~ sQ17_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f128,f130,f136,f133,f143,f109]) ).
fof(f147,definition,
( sQ20_spl
<=> greater(sK0_skl(sK1_skl),appear(efficient_producers,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ20_spl
| greater(sK0_skl(sK1_skl),appear(efficient_producers,sK1_skl)) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ21_spl
<=> sK0_skl(sK1_skl) = appear(efficient_producers,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ21_spl
| sK0_skl(sK1_skl) = appear(efficient_producers,sK1_skl) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( ~ sQ11_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f129,f147,f150,f109]) ).
fof(f154,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| greater(sK0_skl(sK1_skl),sK0_skl(sK1_skl)) ),
inference(backward_demodulation,[status(thm)],[f151,f107]) ).
fof(f155,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| greater(sK0_skl(sK1_skl),sK0_skl(sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f151,f148]) ).
fof(f156,plain,
! [X0] :
( ~ sQ21_spl
| selection_favors(first_movers,efficient_producers,X0)
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,sK0_skl(sK1_skl))
| ~ in_environment(sK1_skl,critical_point(sK1_skl))
| ~ environment(sK1_skl) ),
inference(paramodulation,[status(thm)],[f151,f50]) ).
fof(f157,plain,
! [X0] :
( ~ sQ21_spl
| selection_favors(first_movers,efficient_producers,end_time(sK1_skl))
| in_environment(sK1_skl,critical_point(sK1_skl))
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,sK0_skl(sK1_skl))
| ~ environment(sK1_skl) ),
inference(paramodulation,[status(thm)],[f151,f77]) ).
fof(f158,definition,
! [X0] :
( sQ22_spl
<=> ( selection_favors(first_movers,efficient_producers,X0)
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,sK0_skl(sK1_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f159,plain,
! [X0] :
( ~ sQ22_spl
| selection_favors(first_movers,efficient_producers,X0)
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( ~ sQ21_spl
| sQ22_spl
| ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f156,f130,f133,f158,f150]) ).
fof(f162,definition,
! [X0] :
( sQ23_spl
<=> ( ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,sK0_skl(sK1_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f163,plain,
! [X0] :
( ~ sQ23_spl
| ~ greater(critical_point(sK1_skl),X0)
| ~ greater_or_equal(X0,sK0_skl(sK1_skl)) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( ~ sQ21_spl
| sQ19_spl
| sQ16_spl
| sQ23_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f157,f130,f162,f133,f143,f150]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| sQ6_spl
| sQ8_spl
| sQ10_spl
| sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ22_spl
| sQ23_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT040+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:22:56 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.40 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.15/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.054930 seconds
% 0.15/0.43 % CPU time: 0.153419 seconds
% 0.15/0.43 % Total memory used: 75.588 MB
% 0.15/0.43 % Net memory used: 75.303 MB
%------------------------------------------------------------------------------