%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT039+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:25:24 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 11
% Syntax : Number of formulae : 108 ( 20 unt; 0 def)
% Number of atoms : 319 ( 52 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 333 ( 122 ~; 170 |; 29 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 74 !; 4 ?)
% 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] :
( ( slow_change(P)
& observational_period(P) )
=> ! [E] :
( ( in_environment(P,E)
& environment(E) )
=> ? [T] :
( greater(T,critical_point(E))
& in_environment(E,T) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [E,T] :
( ( greater_or_equal(end_time(E),T)
& greater_or_equal(T,start_time(E))
& environment(E) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> greater_or_equal(end_time(E),T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [E] :
( environment(E)
=> greater_or_equal(critical_point(E),start_time(E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [E,T] :
( ( greater(T,critical_point(E))
& in_environment(E,T)
& environment(E) )
=> selection_favors(efficient_producers,first_movers,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,conjecture,
! [P] :
( ( slow_change(P)
& observational_period(P) )
=> selection_favors(efficient_producers,first_movers,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ ! [P] :
( ( slow_change(P)
& observational_period(P) )
=> selection_favors(efficient_producers,first_movers,P) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,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(f15,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))],[f14]) ).
fof(f16,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)],[f15]) ).
fof(f17,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)],[f15]) ).
fof(f18,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)],[f15]) ).
fof(f19,plain,
! [P] :
( ! [E] :
( ? [T] :
( greater(T,critical_point(E))
& in_environment(E,T) )
| ~ in_environment(P,E)
| ~ environment(E) )
| ~ slow_change(P)
| ~ observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
! [P] :
( ! [E] :
( ( greater(sK1_skl(E,P),critical_point(E))
& in_environment(E,sK1_skl(E,P)) )
| ~ in_environment(P,E)
| ~ environment(E) )
| ~ slow_change(P)
| ~ observational_period(P) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(T,sK1_skl(E,P))],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( in_environment(X1,sK1_skl(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( greater(sK1_skl(X1,X0),critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [E,T] :
( in_environment(E,T)
| ~ greater_or_equal(end_time(E),T)
| ~ greater_or_equal(T,start_time(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [E,T] :
( greater_or_equal(end_time(E),T)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,plain,
! [E] :
( greater_or_equal(critical_point(E),start_time(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f30,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f32,plain,
! [X,Z] :
( greater(X,Z)
| ! [Y] :
( ~ greater(Y,Z)
| ~ greater(X,Y) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [X,Y] :
( ( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
( ! [X,Y] :
( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ! [X,Y] :
( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f41,plain,
! [E,T] :
( selection_favors(efficient_producers,first_movers,T)
| ~ greater(T,critical_point(E))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f42,plain,
! [T] :
( selection_favors(efficient_producers,first_movers,T)
| ! [E] :
( ~ greater(T,critical_point(E))
| ~ in_environment(E,T)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( selection_favors(efficient_producers,first_movers,X1)
| ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
? [P] :
( ~ selection_favors(efficient_producers,first_movers,P)
& slow_change(P)
& observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f45,plain,
( ~ selection_favors(efficient_producers,first_movers,sK2_skl)
& slow_change(sK2_skl)
& observational_period(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(P,sK2_skl)],[f44]) ).
fof(f46,plain,
observational_period(sK2_skl),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
slow_change(sK2_skl),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f48,plain,
~ selection_favors(efficient_producers,first_movers,sK2_skl),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f49,plain,
! [X0] : greater_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f38]) ).
fof(f50,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK0_skl(X0))
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16,f23]) ).
fof(f51,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| environment(sK0_skl(sK2_skl))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[f50,f46]) ).
fof(f52,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| environment(sK0_skl(sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f24]) ).
fof(f53,plain,
environment(sK0_skl(sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f52,f48]) ).
fof(f55,plain,
greater_or_equal(critical_point(sK0_skl(sK2_skl)),start_time(sK0_skl(sK2_skl))),
inference(resolution,[status(thm)],[f30,f53]) ).
fof(f56,plain,
( critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| greater(critical_point(sK0_skl(sK2_skl)),start_time(sK0_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f55,f36]) ).
fof(f62,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0_skl(X0))
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f23]) ).
fof(f63,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| in_environment(sK2_skl,sK0_skl(sK2_skl))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[f62,f46]) ).
fof(f64,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| in_environment(sK2_skl,sK0_skl(sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f24]) ).
fof(f65,plain,
in_environment(sK2_skl,sK0_skl(sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f64,f48]) ).
fof(f67,plain,
( in_environment(sK0_skl(sK2_skl),sK1_skl(sK0_skl(sK2_skl),sK2_skl))
| ~ environment(sK0_skl(sK2_skl))
| ~ slow_change(sK2_skl)
| ~ observational_period(sK2_skl) ),
inference(resolution,[status(thm)],[f21,f65]) ).
fof(f68,plain,
( in_environment(sK0_skl(sK2_skl),sK1_skl(sK0_skl(sK2_skl),sK2_skl))
| ~ environment(sK0_skl(sK2_skl))
| ~ slow_change(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f46]) ).
fof(f71,plain,
( greater(sK1_skl(sK0_skl(sK2_skl),sK2_skl),critical_point(sK0_skl(sK2_skl)))
| ~ environment(sK0_skl(sK2_skl))
| ~ slow_change(sK2_skl)
| ~ observational_period(sK2_skl) ),
inference(resolution,[status(thm)],[f22,f65]) ).
fof(f72,plain,
( greater(sK1_skl(sK0_skl(sK2_skl),sK2_skl),critical_point(sK0_skl(sK2_skl)))
| ~ environment(sK0_skl(sK2_skl))
| ~ slow_change(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f46]) ).
fof(f73,plain,
( in_environment(sK0_skl(sK2_skl),sK1_skl(sK0_skl(sK2_skl),sK2_skl))
| ~ environment(sK0_skl(sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f47]) ).
fof(f74,plain,
in_environment(sK0_skl(sK2_skl),sK1_skl(sK0_skl(sK2_skl),sK2_skl)),
inference(resolution,[status(thm)],[f73,f53]) ).
fof(f77,plain,
( greater_or_equal(end_time(sK0_skl(sK2_skl)),sK1_skl(sK0_skl(sK2_skl),sK2_skl))
| ~ environment(sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f74,f28]) ).
fof(f78,plain,
greater_or_equal(end_time(sK0_skl(sK2_skl)),sK1_skl(sK0_skl(sK2_skl),sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f77,f53]) ).
fof(f79,plain,
( end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl)
| greater(end_time(sK0_skl(sK2_skl)),sK1_skl(sK0_skl(sK2_skl),sK2_skl)) ),
inference(resolution,[status(thm)],[f78,f36]) ).
fof(f80,plain,
( greater(sK1_skl(sK0_skl(sK2_skl),sK2_skl),critical_point(sK0_skl(sK2_skl)))
| ~ environment(sK0_skl(sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f47]) ).
fof(f81,plain,
greater(sK1_skl(sK0_skl(sK2_skl),sK2_skl),critical_point(sK0_skl(sK2_skl))),
inference(resolution,[status(thm)],[f80,f53]) ).
fof(f82,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl(sK0_skl(sK2_skl),sK2_skl))
| ~ in_environment(sK0_skl(sK2_skl),sK1_skl(sK0_skl(sK2_skl),sK2_skl))
| ~ environment(sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f81,f43]) ).
fof(f83,plain,
! [X0] :
( greater(sK1_skl(sK0_skl(sK2_skl),sK2_skl),X0)
| ~ greater(critical_point(sK0_skl(sK2_skl)),X0) ),
inference(resolution,[status(thm)],[f81,f33]) ).
fof(f85,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl(sK0_skl(sK2_skl),sK2_skl))
| ~ in_environment(sK0_skl(sK2_skl),sK1_skl(sK0_skl(sK2_skl),sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f53]) ).
fof(f87,plain,
( critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| greater(sK1_skl(sK0_skl(sK2_skl),sK2_skl),start_time(sK0_skl(sK2_skl))) ),
inference(resolution,[status(thm)],[f83,f56]) ).
fof(f88,plain,
selection_favors(efficient_producers,first_movers,sK1_skl(sK0_skl(sK2_skl),sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f85,f74]) ).
fof(f94,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0_skl(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f18,f23]) ).
fof(f95,plain,
! [X0] :
( greater(end_time(sK0_skl(sK2_skl)),X0)
| ~ greater(sK1_skl(sK0_skl(sK2_skl),sK2_skl),X0)
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f79,f33]) ).
fof(f100,plain,
( critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| greater(end_time(sK0_skl(sK2_skl)),start_time(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f95,f87]) ).
fof(f101,plain,
( greater(end_time(sK0_skl(sK2_skl)),critical_point(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f95,f81]) ).
fof(f102,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0_skl(sK2_skl)))
| ~ in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| ~ environment(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f101,f43]) ).
fof(f104,plain,
( greater_or_equal(end_time(sK0_skl(sK2_skl)),critical_point(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f101,f37]) ).
fof(f105,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0_skl(sK2_skl)))
| ~ in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f53]) ).
fof(f121,plain,
( greater_or_equal(end_time(sK0_skl(sK2_skl)),start_time(sK0_skl(sK2_skl)))
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f100,f37]) ).
fof(f123,plain,
( in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| ~ greater_or_equal(end_time(sK0_skl(sK2_skl)),end_time(sK0_skl(sK2_skl)))
| ~ environment(sK0_skl(sK2_skl))
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f121,f26]) ).
fof(f126,plain,
( in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| ~ greater_or_equal(end_time(sK0_skl(sK2_skl)),end_time(sK0_skl(sK2_skl)))
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f53]) ).
fof(f157,plain,
( in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f49]) ).
fof(f159,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl)
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f157,f105]) ).
fof(f164,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0_skl(sK2_skl)))
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f159]) ).
fof(f165,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(sK2_skl)
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f164,f94]) ).
fof(f166,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers)
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f46]) ).
fof(f167,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f24]) ).
fof(f168,plain,
( critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f167,f48]) ).
fof(f177,plain,
( critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl))
| selection_favors(efficient_producers,first_movers,end_time(sK0_skl(sK2_skl))) ),
inference(paramodulation,[status(thm)],[f168,f88]) ).
fof(f186,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(sK2_skl)
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f177,f94]) ).
fof(f187,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers)
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f186,f46]) ).
fof(f192,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f24]) ).
fof(f193,plain,
critical_point(sK0_skl(sK2_skl)) = start_time(sK0_skl(sK2_skl)),
inference(resolution,[status(thm)],[f192,f48]) ).
fof(f209,plain,
( greater_or_equal(end_time(sK0_skl(sK2_skl)),start_time(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(backward_demodulation,[status(thm)],[f193,f104]) ).
fof(f246,plain,
( in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| ~ greater_or_equal(end_time(sK0_skl(sK2_skl)),end_time(sK0_skl(sK2_skl)))
| ~ environment(sK0_skl(sK2_skl))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f209,f26]) ).
fof(f248,plain,
( in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| ~ greater_or_equal(end_time(sK0_skl(sK2_skl)),end_time(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f246,f53]) ).
fof(f250,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f105,f251]) ).
fof(f251,plain,
( in_environment(sK0_skl(sK2_skl),end_time(sK0_skl(sK2_skl)))
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f248,f49]) ).
fof(f255,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(sK2_skl)
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(resolution,[status(thm)],[f250,f94]) ).
fof(f256,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers)
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f46]) ).
fof(f257,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f24]) ).
fof(f258,plain,
end_time(sK0_skl(sK2_skl)) = sK1_skl(sK0_skl(sK2_skl),sK2_skl),
inference(resolution,[status(thm)],[f257,f48]) ).
fof(f273,plain,
selection_favors(efficient_producers,first_movers,end_time(sK0_skl(sK2_skl))),
inference(backward_demodulation,[status(thm)],[f258,f88]) ).
fof(f280,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(sK2_skl) ),
inference(resolution,[status(thm)],[f273,f94]) ).
fof(f281,plain,
( selection_favors(efficient_producers,first_movers,sK2_skl)
| ~ propagation_strategy(efficient_producers) ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f46]) ).
fof(f286,plain,
selection_favors(efficient_producers,first_movers,sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f281,f24]) ).
fof(f287,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f48,f286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT039+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 01:22:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.066876 seconds
% 0.13/0.44 % CPU time: 0.190828 seconds
% 0.13/0.44 % Total memory used: 34.079 MB
% 0.13/0.44 % Net memory used: 33.914 MB
%------------------------------------------------------------------------------