TSTP Solution File: MGT023-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:21:12 EDT 2023
% Result : Unsatisfiable 0.09s 0.30s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 10 unt; 0 def)
% Number of atoms : 175 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 202 ( 87 ~; 106 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 24 (; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| B = critical_point(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk1(B,A),B)
| B = critical_point(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| B = critical_point(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk2(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [A] :
( ~ environment(A)
| ~ stable(A)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(B,sk2(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ in_environment(sk3,critical_point(sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| X1 = critical_point(X0) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| greater(sk1(X1,X0),X1)
| X1 = critical_point(X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| X1 = critical_point(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| in_environment(X0,sk2(X0)) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [B] :
( ! [A] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(B,sk2(A)) )
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(X1,sk2(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f17,plain,
environment(sk3),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
stable(sk3),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
~ in_environment(sk3,critical_point(sk3)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk3,X0)
| greater(sk1(X0,sk3),X0)
| X0 = critical_point(sk3) ),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f23,plain,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk3,X0)
| subpopulations(first_movers,efficient_producers,sk3,sk1(X0,sk3))
| X0 = critical_point(sk3) ),
inference(resolution,[status(thm)],[f10,f17]) ).
fof(f24,plain,
( spl0_0
<=> greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
introduced(split_symbol_definition) ).
fof(f25,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f26,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( spl0_1
<=> subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
introduced(split_symbol_definition) ).
fof(f28,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,plain,
( spl0_2
<=> sk2(sk3) = critical_point(sk3) ),
introduced(split_symbol_definition) ).
fof(f31,plain,
( sk2(sk3) = critical_point(sk3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,plain,
( spl0_3
<=> environment(sk3) ),
introduced(split_symbol_definition) ).
fof(f35,plain,
( ~ environment(sk3)
| spl0_3 ),
inference(component_clause,[status(thm)],[f33]) ).
fof(f36,plain,
( spl0_4
<=> stable(sk3) ),
introduced(split_symbol_definition) ).
fof(f38,plain,
( ~ stable(sk3)
| spl0_4 ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = critical_point(sk3)
| ~ environment(sk3)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[f23,f13]) ).
fof(f40,plain,
( spl0_0
| spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f39,f24,f27,f30,f33,f36]) ).
fof(f41,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f18]) ).
fof(f42,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f41]) ).
fof(f43,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f17]) ).
fof(f44,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f43]) ).
fof(f45,plain,
( spl0_5
<=> in_environment(sk3,sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f47,plain,
( ~ in_environment(sk3,sk2(sk3))
| spl0_5 ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f68,plain,
( spl0_10
<=> in_environment(sk3,critical_point(sk3)) ),
introduced(split_symbol_definition) ).
fof(f69,plain,
( in_environment(sk3,critical_point(sk3))
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| in_environment(sk3,critical_point(sk3))
| ~ spl0_2 ),
inference(paramodulation,[status(thm)],[f31,f13]) ).
fof(f72,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_10
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f71,f33,f36,f68,f30]) ).
fof(f73,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f25,f14]) ).
fof(f74,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f73,f33,f36,f24]) ).
fof(f75,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f19]) ).
fof(f76,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( spl0_11
<=> greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( ~ in_environment(sk3,sk2(sk3))
| greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = critical_point(sk3)
| spl0_0 ),
inference(resolution,[status(thm)],[f26,f20]) ).
fof(f81,plain,
( ~ spl0_5
| spl0_11
| spl0_2
| spl0_0 ),
inference(split_clause,[status(thm)],[f80,f45,f77,f30,f24]) ).
fof(f82,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| spl0_5 ),
inference(resolution,[status(thm)],[f47,f13]) ).
fof(f83,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f82,f33,f36,f45]) ).
fof(f86,plain,
( spl0_12
<=> greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater(sk1(sk2(sk3),sk3),sk2(sk3))
| greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f28,f16]) ).
fof(f90,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| spl0_12
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f89,f33,f36,f77,f86,f27]) ).
fof(f91,plain,
( ~ environment(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3))
| sk2(sk3) = critical_point(sk3)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f87,f12]) ).
fof(f92,plain,
( ~ spl0_3
| spl0_0
| ~ spl0_5
| spl0_2
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f91,f33,f24,f45,f30,f86]) ).
fof(f93,plain,
$false,
inference(sat_refutation,[status(thm)],[f40,f42,f44,f72,f74,f76,f81,f83,f90,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:24:58 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.09/0.30 % Refutation found
% 0.09/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.52 % Elapsed time: 0.009339 seconds
% 0.14/0.52 % CPU time: 0.010709 seconds
% 0.14/0.52 % Memory used: 2.899 MB
%------------------------------------------------------------------------------