%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT020-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:25:17 PM UTC 2026
% Result : Unsatisfiable 0.03s 5.33s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 150 ( 16 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 177 ( 82 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] :
( subpopulations(first_movers,efficient_producers,A,initial_FM_EP(A))
| ~ in_environment(A,initial_FM_EP(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( greater_or_equal(B,initial_FM_EP(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] :
( greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D))
| decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))
| ~ subpopulations(first_movers,efficient_producers,A,D)
| ~ greater_or_equal(D,B)
| ~ greater_or_equal(B,C)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( in_environment(A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( greater_or_equal(initial_FM_EP(A),start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] :
( in_environment(A,B)
| ~ in_environment(A,C)
| ~ greater(C,B)
| ~ greater_or_equal(B,start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [A] :
( greater(disbanding_rate(first_movers,initial_FM_EP(A)),disbanding_rate(efficient_producers,initial_FM_EP(A)))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [B] :
( ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( greater_or_equal(X1,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [D] :
( greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D))
| ! [B] :
( decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ! [C] :
( ~ greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,D)
| ~ greater_or_equal(D,B)
| ~ greater_or_equal(B,C)
| ~ environment(A) ) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X1,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
! [A,B] :
( in_environment(A,B)
| ! [C] :
( ~ in_environment(A,C)
| ~ greater(C,B)
| ~ greater_or_equal(B,start_time(A))
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f24,plain,
! [X0,X1,X2] :
( in_environment(X0,X1)
| ~ in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f33,plain,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f34,plain,
( greater_or_equal(sk2,initial_FM_EP(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f18,f32]) ).
fof(f35,plain,
greater_or_equal(sk2,initial_FM_EP(sk1)),
inference(forward_subsumption_resolution,[status(thm)],[f34,f31]) ).
fof(f36,plain,
( sk2 = initial_FM_EP(sk1)
| greater(sk2,initial_FM_EP(sk1)) ),
inference(resolution,[status(thm)],[f35,f27]) ).
fof(f37,plain,
greater_or_equal(initial_FM_EP(sk1),start_time(sk1)),
inference(resolution,[status(thm)],[f22,f31]) ).
fof(f40,plain,
( in_environment(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f21,f32]) ).
fof(f41,plain,
in_environment(sk1,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f40,f31]) ).
fof(f42,plain,
! [X0] :
( in_environment(sk1,initial_FM_EP(sk1))
| ~ in_environment(sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f24,f37]) ).
fof(f43,plain,
! [X0] :
( in_environment(sk1,initial_FM_EP(sk1))
| ~ in_environment(sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f31]) ).
fof(f44,plain,
greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))),
inference(resolution,[status(thm)],[f28,f31]) ).
fof(f48,plain,
! [X0,X1,X2] :
( greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1)
| ~ greater_or_equal(X1,initial_FM_EP(sk1))
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f44,f20]) ).
fof(f51,plain,
( sk2 = initial_FM_EP(sk1)
| in_environment(sk1,initial_FM_EP(sk1))
| ~ in_environment(sk1,sk2) ),
inference(resolution,[status(thm)],[f43,f36]) ).
fof(f52,plain,
( sk2 = initial_FM_EP(sk1)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f41]) ).
fof(f53,plain,
! [X0] :
( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ greater_or_equal(sk2,X0)
| ~ greater_or_equal(X0,initial_FM_EP(sk1))
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f54,plain,
! [X0] :
( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ greater_or_equal(sk2,X0)
| ~ greater_or_equal(X0,initial_FM_EP(sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f31]) ).
fof(f56,plain,
( subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| ~ environment(sk1)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[status(thm)],[f52,f17]) ).
fof(f57,plain,
( subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f31]) ).
fof(f62,plain,
( greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1))
| ~ environment(sk1)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[status(thm)],[f57,f18]) ).
fof(f64,plain,
( greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f31]) ).
fof(f66,plain,
! [X0] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ greater_or_equal(sk2,X0)
| ~ greater_or_equal(X0,initial_FM_EP(sk1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f33]) ).
fof(f67,plain,
( sk2 = initial_FM_EP(sk1)
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| ~ greater_or_equal(sk2,initial_FM_EP(sk1)) ),
inference(resolution,[status(thm)],[f66,f64]) ).
fof(f69,plain,
( sk2 = initial_FM_EP(sk1)
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f35]) ).
fof(f77,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sk1))
| ~ environment(X0)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[status(thm)],[f69,f16]) ).
fof(f84,plain,
( sk2 = initial_FM_EP(sk1)
| ~ environment(sk1)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[status(thm)],[f77,f57]) ).
fof(f85,plain,
( ~ environment(sk1)
| sk2 = initial_FM_EP(sk1) ),
inference(duplicate_literals_removal,[status(thm)],[f84]) ).
fof(f86,plain,
sk2 = initial_FM_EP(sk1),
inference(forward_subsumption_resolution,[status(thm)],[f85,f31]) ).
fof(f104,plain,
greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,sk2)),
inference(backward_demodulation,[status(thm)],[f86,f44]) ).
fof(f113,plain,
greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
inference(forward_demodulation,[status(thm)],[f86,f104]) ).
fof(f114,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f113,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT020-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/5.30 % Computer : n012.cluster.edu
% 0.03/5.30 % Model : x86_64 x86_64
% 0.03/5.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.30 % Memory : 8046.5625MB
% 0.03/5.30 % OS : Linux 6.8.0-71-generic
% 0.03/5.30 % CPULimit : 300
% 0.03/5.30 % WCLimit : 300
% 0.03/5.30 % DateTime : Mon Sep 21 01:20:58 UTC 2026
% 0.03/5.30 % CPUTime :
% 0.03/5.31 % Drodi V4.1.1
% 0.03/5.33 % Refutation found
% 0.03/5.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/5.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/5.35 % Elapsed time: 0.037611 seconds
% 0.03/5.35 % CPU time: 0.095476 seconds
% 0.03/5.35 % Total memory used: 80.877 MB
% 0.03/5.35 % Net memory used: 80.436 MB
%------------------------------------------------------------------------------