%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT040+2 : 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 : 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 01:25:48 PM UTC 2026
% Result : CounterSatisfiable 0.09s 0.39s
% Output : Saturation 0.09s
% 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,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(f10,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,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(f12,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(f13,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(f14,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(f15,negated_conjecture,
~ ! [P] :
( ( ~ extreme(P)
& rapid_change(P)
& observational_period(P) )
=> selection_favors(first_movers,efficient_producers,P) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,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(f17,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))],[f16]) ).
fof(f18,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)],[f17]) ).
fof(f19,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)],[f17]) ).
fof(f20,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)],[f17]) ).
fof(f21,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(f22,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)],[f21]) ).
fof(f23,plain,
! [P] :
( ! [E] :
( ~ empty(E)
| ~ in_environment(P,E)
| ~ environment(E) )
| extreme(P)
| ~ observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in_environment(X0,X1)
| ~ environment(X1)
| extreme(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
! [E] :
( in_environment(E,end_time(E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
! [X0] :
( in_environment(X0,end_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f29,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(f30,plain,
! [X0] :
( greater(critical_point(X0),end_time(X0))
| in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [E] :
( greater_or_equal(end_time(E),appear(an_organisation,E))
| empty(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f32,plain,
! [X0] :
( greater_or_equal(end_time(X0),appear(an_organisation,X0))
| empty(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,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)],[f9]) ).
fof(f34,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)],[f33]) ).
fof(f35,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)],[f34]) ).
fof(f37,plain,
! [X,Y] :
( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,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)],[f11]) ).
fof(f40,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)],[f39]) ).
fof(f41,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)],[f12]) ).
fof(f42,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)],[f41]) ).
fof(f43,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)],[f42]) ).
fof(f44,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)],[f13]) ).
fof(f45,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)],[f44]) ).
fof(f46,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)],[f45]) ).
fof(f47,plain,
? [P] :
( ~ selection_favors(first_movers,efficient_producers,P)
& ~ extreme(P)
& rapid_change(P)
& observational_period(P) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f48,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)],[f47]) ).
fof(f49,plain,
observational_period(sK1_skl),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
rapid_change(sK1_skl),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f51,plain,
~ extreme(sK1_skl),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
~ selection_favors(first_movers,efficient_producers,sK1_skl),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f53,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)],[f35]) ).
fof(f54,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| environment(sK0_skl(sK1_skl))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[f18,f49]) ).
fof(f55,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| in_environment(sK1_skl,sK0_skl(sK1_skl))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[f19,f49]) ).
fof(f56,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0_skl(X0))
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f19,f25]) ).
fof(f57,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| environment(sK0_skl(sK1_skl))
| ~ propagation_strategy(efficient_producers) ),
inference(backward_subsumption_resolution,[status(thm)],[f54,f25]) ).
fof(f58,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK0_skl(X0))
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f25]) ).
fof(f59,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)],[f20,f25]) ).
fof(f60,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| environment(sK0_skl(sK1_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f57,f26]) ).
fof(f61,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| in_environment(sK1_skl,sK0_skl(sK1_skl))
| ~ propagation_strategy(efficient_producers) ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f25]) ).
fof(f62,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| in_environment(sK1_skl,sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f61,f26]) ).
fof(f63,plain,
( ~ empty(sK0_skl(sK1_skl))
| ~ environment(sK0_skl(sK1_skl))
| extreme(sK1_skl)
| ~ observational_period(sK1_skl)
| selection_favors(efficient_producers,first_movers,sK1_skl) ),
inference(resolution,[status(thm)],[f62,f24]) ).
fof(f64,plain,
( ~ empty(sK0_skl(sK1_skl))
| ~ environment(sK0_skl(sK1_skl))
| extreme(sK1_skl)
| selection_favors(efficient_producers,first_movers,sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f49]) ).
fof(f65,plain,
( ~ empty(sK0_skl(sK1_skl))
| ~ environment(sK0_skl(sK1_skl))
| selection_favors(efficient_producers,first_movers,sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f51]) ).
fof(f66,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK0_skl(X0))
| ~ observational_period(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f26]) ).
fof(f68,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| 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)],[f40,f62]) ).
fof(f69,plain,
( 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)
| selection_favors(efficient_producers,first_movers,sK1_skl)
| greater(appear(efficient_producers,sK1_skl),sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f68,f53]) ).
fof(f70,plain,
( sK0_skl(sK1_skl) = appear(efficient_producers,sK1_skl)
| greater(sK0_skl(sK1_skl),appear(efficient_producers,sK1_skl))
| selection_favors(efficient_producers,first_movers,sK1_skl)
| greater(appear(efficient_producers,sK1_skl),sK0_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f68,f38]) ).
fof(f71,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0_skl(X0))
| ~ observational_period(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f26]) ).
fof(f73,plain,
( selection_favors(efficient_producers,first_movers,sK1_skl)
| greater(appear(efficient_producers,sK1_skl),sK0_skl(sK1_skl))
| 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)],[f46,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT040+2 : 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 : n006.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 01:22:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.09/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.040638 seconds
% 0.09/0.41 % CPU time: 0.113000 seconds
% 0.09/0.41 % Total memory used: 40.296 MB
% 0.09/0.41 % Net memory used: 40.152 MB
%------------------------------------------------------------------------------