%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT038+1 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 01:25:47 PM UTC 2026
% Result : CounterSatisfiable 0.19s 0.51s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
finite_set(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E] :
( ( stable(E)
& environment(E) )
=> in_environment(E,appear(first_movers,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [S,To] :
( ( contracts_from(To,S)
& finite_set(S) )
=> ? [T2] :
( cardinality_at_time(s,T2) = zero
& greater(T2,To) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [E,T1,T2] :
( ( greater(T2,T1)
& in_environment(E,T1)
& stable(E)
& environment(E) )
=> in_environment(E,T2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( contracts_from(To,first_movers)
& greater(To,appear(efficient_producers,E)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [E] :
( environment(E)
=> greater(appear(efficient_producers,E),appear(first_movers,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( cardinality_at_time(first_movers,To) = zero
& greater(To,appear(first_movers,E))
& in_environment(E,To) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [E] :
( ( stable(E)
& environment(E) )
=> ? [To] :
( cardinality_at_time(first_movers,To) = zero
& greater(To,appear(first_movers,E))
& in_environment(E,To) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
finite_set(first_movers),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [E] :
( in_environment(E,appear(first_movers,E))
| ~ stable(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0] :
( in_environment(X0,appear(first_movers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [S,To] :
( ? [T2] :
( cardinality_at_time(s,T2) = zero
& greater(T2,To) )
| ~ contracts_from(To,S)
| ~ finite_set(S) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [To] :
( ? [T2] :
( cardinality_at_time(s,T2) = zero
& greater(T2,To) )
| ! [S] :
( ~ contracts_from(To,S)
| ~ finite_set(S) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f15,plain,
! [To] :
( ( cardinality_at_time(s,sK0_skl(To)) = zero
& greater(sK0_skl(To),To) )
| ! [S] :
( ~ contracts_from(To,S)
| ~ finite_set(S) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(T2,sK0_skl(To))],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( greater(sK0_skl(X1),X1)
| ~ contracts_from(X1,X0)
| ~ finite_set(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( cardinality_at_time(s,sK0_skl(X1)) = zero
| ~ contracts_from(X1,X0)
| ~ finite_set(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f18,plain,
! [E,T1,T2] :
( in_environment(E,T2)
| ~ greater(T2,T1)
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [E,T2] :
( in_environment(E,T2)
| ! [T1] :
( ~ greater(T2,T1)
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ environment(E) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [X,Z] :
( greater(X,Z)
| ! [Y] :
( ~ greater(Y,Z)
| ~ greater(X,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [E] :
( ? [To] :
( contracts_from(To,first_movers)
& greater(To,appear(efficient_producers,E)) )
| ~ stable(E)
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f25,plain,
! [E] :
( ( contracts_from(sK1_skl(E),first_movers)
& greater(sK1_skl(E),appear(efficient_producers,E)) )
| ~ stable(E)
| ~ environment(E) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(To,sK1_skl(E))],[f24]) ).
fof(f26,plain,
! [X0] :
( greater(sK1_skl(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0] :
( contracts_from(sK1_skl(X0),first_movers)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f28,plain,
! [E] :
( greater(appear(efficient_producers,E),appear(first_movers,E))
| ~ environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
! [X0] :
( greater(appear(efficient_producers,X0),appear(first_movers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
? [E] :
( ! [To] :
( cardinality_at_time(first_movers,To) != zero
| ~ greater(To,appear(first_movers,E))
| ~ in_environment(E,To) )
& stable(E)
& environment(E) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
( ! [To] :
( cardinality_at_time(first_movers,To) != zero
| ~ greater(To,appear(first_movers,sK2_skl))
| ~ in_environment(sK2_skl,To) )
& stable(sK2_skl)
& environment(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(E,sK2_skl)],[f30]) ).
fof(f32,plain,
environment(sK2_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
stable(sK2_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0] :
( cardinality_at_time(first_movers,X0) != zero
| ~ greater(X0,appear(first_movers,sK2_skl))
| ~ in_environment(sK2_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f35,plain,
( in_environment(sK2_skl,appear(first_movers,sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f12,f33]) ).
fof(f36,plain,
in_environment(sK2_skl,appear(first_movers,sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f35,f32]) ).
fof(f37,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,appear(first_movers,sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f20,f36]) ).
fof(f38,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,appear(first_movers,sK2_skl))
| ~ stable(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f37,f32]) ).
fof(f39,plain,
! [X0] :
( cardinality_at_time(first_movers,X0) != zero
| ~ greater(X0,appear(first_movers,sK2_skl)) ),
inference(backward_subsumption_resolution,[status(thm)],[f34,f40]) ).
fof(f40,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,appear(first_movers,sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f33]) ).
fof(f41,plain,
( contracts_from(sK1_skl(sK2_skl),first_movers)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f27,f33]) ).
fof(f42,plain,
contracts_from(sK1_skl(sK2_skl),first_movers),
inference(forward_subsumption_resolution,[status(thm)],[f41,f32]) ).
fof(f43,plain,
( greater(sK0_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl))
| ~ finite_set(first_movers) ),
inference(resolution,[status(thm)],[f42,f16]) ).
fof(f44,plain,
greater(sK0_skl(sK1_skl(sK2_skl)),sK1_skl(sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f43,f10]) ).
fof(f45,plain,
! [X0] :
( greater(sK0_skl(sK1_skl(sK2_skl)),X0)
| ~ greater(sK1_skl(sK2_skl),X0) ),
inference(resolution,[status(thm)],[f44,f23]) ).
fof(f46,plain,
greater(appear(efficient_producers,sK2_skl),appear(first_movers,sK2_skl)),
inference(resolution,[status(thm)],[f29,f32]) ).
fof(f47,plain,
( cardinality_at_time(s,sK0_skl(sK1_skl(sK2_skl))) = zero
| ~ finite_set(first_movers) ),
inference(resolution,[status(thm)],[f17,f42]) ).
fof(f48,plain,
cardinality_at_time(s,sK0_skl(sK1_skl(sK2_skl))) = zero,
inference(forward_subsumption_resolution,[status(thm)],[f47,f10]) ).
fof(f49,plain,
( greater(sK1_skl(sK2_skl),appear(efficient_producers,sK2_skl))
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f26,f33]) ).
fof(f50,plain,
greater(sK1_skl(sK2_skl),appear(efficient_producers,sK2_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f49,f32]) ).
fof(f51,plain,
cardinality_at_time(first_movers,appear(efficient_producers,sK2_skl)) != zero,
inference(resolution,[status(thm)],[f46,f39]) ).
fof(f52,plain,
in_environment(sK2_skl,appear(efficient_producers,sK2_skl)),
inference(resolution,[status(thm)],[f46,f40]) ).
fof(f53,plain,
! [X0] :
( greater(appear(efficient_producers,sK2_skl),X0)
| ~ greater(appear(first_movers,sK2_skl),X0) ),
inference(resolution,[status(thm)],[f46,f23]) ).
fof(f54,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,appear(efficient_producers,sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f52,f20]) ).
fof(f55,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,appear(efficient_producers,sK2_skl))
| ~ stable(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f32]) ).
fof(f56,plain,
! [X0] :
( greater(sK1_skl(sK2_skl),X0)
| ~ greater(appear(efficient_producers,sK2_skl),X0) ),
inference(resolution,[status(thm)],[f50,f23]) ).
fof(f57,plain,
greater(sK0_skl(sK1_skl(sK2_skl)),appear(efficient_producers,sK2_skl)),
inference(resolution,[status(thm)],[f45,f50]) ).
fof(f58,plain,
! [X0] :
( greater(sK0_skl(sK1_skl(sK2_skl)),X0)
| ~ greater(appear(efficient_producers,sK2_skl),X0) ),
inference(resolution,[status(thm)],[f57,f23]) ).
fof(f59,plain,
greater(sK1_skl(sK2_skl),appear(first_movers,sK2_skl)),
inference(resolution,[status(thm)],[f56,f46]) ).
fof(f60,plain,
greater(sK0_skl(sK1_skl(sK2_skl)),appear(first_movers,sK2_skl)),
inference(resolution,[status(thm)],[f59,f45]) ).
fof(f61,plain,
cardinality_at_time(first_movers,sK1_skl(sK2_skl)) != zero,
inference(resolution,[status(thm)],[f59,f39]) ).
fof(f62,plain,
in_environment(sK2_skl,sK1_skl(sK2_skl)),
inference(resolution,[status(thm)],[f59,f40]) ).
fof(f63,plain,
! [X0] :
( greater(sK1_skl(sK2_skl),X0)
| ~ greater(appear(first_movers,sK2_skl),X0) ),
inference(resolution,[status(thm)],[f59,f23]) ).
fof(f64,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,sK1_skl(sK2_skl))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f62,f20]) ).
fof(f65,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,sK1_skl(sK2_skl))
| ~ stable(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f32]) ).
fof(f66,plain,
cardinality_at_time(first_movers,sK0_skl(sK1_skl(sK2_skl))) != zero,
inference(resolution,[status(thm)],[f60,f39]) ).
fof(f67,plain,
in_environment(sK2_skl,sK0_skl(sK1_skl(sK2_skl))),
inference(resolution,[status(thm)],[f60,f40]) ).
fof(f68,plain,
! [X0] :
( greater(sK0_skl(sK1_skl(sK2_skl)),X0)
| ~ greater(appear(first_movers,sK2_skl),X0) ),
inference(resolution,[status(thm)],[f60,f23]) ).
fof(f69,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,sK0_skl(sK1_skl(sK2_skl)))
| ~ stable(sK2_skl)
| ~ environment(sK2_skl) ),
inference(resolution,[status(thm)],[f67,f20]) ).
fof(f70,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,sK0_skl(sK1_skl(sK2_skl)))
| ~ stable(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f32]) ).
fof(f71,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,appear(efficient_producers,sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f33]) ).
fof(f75,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,sK1_skl(sK2_skl)) ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f33]) ).
fof(f77,plain,
! [X0] :
( in_environment(sK2_skl,X0)
| ~ greater(X0,sK0_skl(sK1_skl(sK2_skl))) ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT038+1 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 % Computer : n013.cluster.edu
% 0.19/0.47 % Model : x86_64 x86_64
% 0.19/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.47 % Memory : 8046.5625MB
% 0.19/0.47 % OS : Linux 6.8.0-71-generic
% 0.19/0.47 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Mon Sep 21 01:22:37 UTC 2026
% 0.19/0.48 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.19/0.51 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.19/0.51 % SZS output start Saturation for theBenchmark
% See solution above
% 0.23/0.58 % Elapsed time: 0.088741 seconds
% 0.23/0.58 % CPU time: 0.097566 seconds
% 0.23/0.58 % Total memory used: 5.640 MB
% 0.23/0.58 % Net memory used: 5.634 MB
%------------------------------------------------------------------------------