TSTP Solution File: MGT021+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT021+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Tue Apr 30 20:28:38 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 9 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 217 ( 91 ~; 89 |; 17 &)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 10 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 43 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(number_of_organizations(E,T),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( increases(X)
=> ~ decreases(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [E,T] :
( ( environment(E)
& in_environment(E,T)
& greater(number_of_organizations(E,T),zero) )
=> ( ( greater(equilibrium(E),T)
=> decreases(resources(E,T)) )
& ( ~ greater(equilibrium(E),T)
=> constant(resources(E,T)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( ( decreases(resources(E,T))
=> increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
& ( constant(resources(E,T))
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(number_of_organizations(E,T),zero) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [X] :
( ~ increases(X)
| ~ decreases(X) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0] :
( ~ increases(X0)
| ~ decreases(X0) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f17,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ~ greater(number_of_organizations(E,T),zero)
| ( ( ~ greater(equilibrium(E),T)
| decreases(resources(E,T)) )
& ( greater(equilibrium(E),T)
| constant(resources(E,T)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f20,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( ( ~ decreases(resources(E,T))
| increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
& ( ~ constant(resources(E,T))
| ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ decreases(resources(X0,X1))
| increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(resources(X0,X1))
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f23,plain,
? [E,T] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
? [T] :
( ? [E] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
& decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f25,plain,
( environment(sk0_1)
& subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)
& decreases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0))) ),
inference(skolemization,[status(esa)],[f24]) ).
fof(f26,plain,
environment(sk0_1),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
subpopulations(first_movers,efficient_producers,sk0_1,sk0_0),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f28,plain,
decreases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0))),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f29,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk0_1,X0)
| in_environment(sk0_1,X0) ),
inference(resolution,[status(thm)],[f10,f26]) ).
fof(f30,plain,
in_environment(sk0_1,sk0_0),
inference(resolution,[status(thm)],[f29,f27]) ).
fof(f31,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution,[status(thm)],[f19,f12]) ).
fof(f32,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f32,f10]) ).
fof(f34,plain,
! [X0] :
( greater(equilibrium(sk0_1),X0)
| constant(resources(sk0_1,X0))
| ~ subpopulations(first_movers,efficient_producers,sk0_1,X0) ),
inference(resolution,[status(thm)],[f33,f26]) ).
fof(f35,plain,
( spl0_0
<=> greater(equilibrium(sk0_1),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f36,plain,
( greater(equilibrium(sk0_1),sk0_0)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( spl0_1
<=> constant(resources(sk0_1,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f39,plain,
( constant(resources(sk0_1,sk0_0))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f41,plain,
( greater(equilibrium(sk0_1),sk0_0)
| constant(resources(sk0_1,sk0_0)) ),
inference(resolution,[status(thm)],[f34,f27]) ).
fof(f42,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f41,f35,f38]) ).
fof(f43,plain,
( spl0_2
<=> environment(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f45,plain,
( ~ environment(sk0_1)
| spl0_2 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,plain,
( spl0_3
<=> in_environment(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f48,plain,
( ~ in_environment(sk0_1,sk0_0)
| spl0_3 ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( spl0_4
<=> greater(number_of_organizations(sk0_1,sk0_0),zero) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( ~ greater(number_of_organizations(sk0_1,sk0_0),zero)
| spl0_4 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( spl0_5
<=> decreases(resources(sk0_1,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f53,plain,
( decreases(resources(sk0_1,sk0_0))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( ~ environment(sk0_1)
| ~ in_environment(sk0_1,sk0_0)
| ~ greater(number_of_organizations(sk0_1,sk0_0),zero)
| decreases(resources(sk0_1,sk0_0))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f36,f18]) ).
fof(f56,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f55,f43,f46,f49,f52,f35]) ).
fof(f57,plain,
( spl0_6
<=> subpopulations(first_movers,efficient_producers,sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( ~ subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)
| spl0_6 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( spl0_7
<=> decreases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0)))
| spl0_7 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( ~ environment(sk0_1)
| ~ subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)
| ~ decreases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0)))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f39,f22]) ).
fof(f64,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f63,f43,f57,f60,f38]) ).
fof(f65,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f28]) ).
fof(f66,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f27]) ).
fof(f68,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f67]) ).
fof(f69,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f26]) ).
fof(f70,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f69]) ).
fof(f73,plain,
( ~ environment(sk0_1)
| ~ subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)
| spl0_4 ),
inference(resolution,[status(thm)],[f51,f12]) ).
fof(f74,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_4 ),
inference(split_clause,[status(thm)],[f73,f43,f57,f49]) ).
fof(f75,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f30]) ).
fof(f76,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( spl0_8
<=> increases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f78,plain,
( increases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0)))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( ~ environment(sk0_1)
| ~ subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)
| increases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0)))
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f53,f21]) ).
fof(f81,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_8
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f80,f43,f57,f77,f52]) ).
fof(f84,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sk0_0),disbanding_rate(efficient_producers,sk0_0)))
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f78,f14]) ).
fof(f85,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f84,f60,f77]) ).
fof(f86,plain,
$false,
inference(sat_refutation,[status(thm)],[f42,f56,f64,f66,f68,f70,f74,f76,f81,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : MGT021+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:06:17 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35 % Elapsed time: 0.018828 seconds
% 0.11/0.35 % CPU time: 0.025730 seconds
% 0.11/0.35 % Total memory used: 11.057 MB
% 0.11/0.35 % Net memory used: 10.913 MB
%------------------------------------------------------------------------------