TSTP Solution File: MGT024+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:21:13 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 92 ( 5 unt; 0 def)
% Number of atoms : 309 ( 30 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 347 ( 130 ~; 137 |; 52 &)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 15 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 59 (; 55 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [E,T] :
( ( environment(E)
& greater_or_equal(T,equilibrium(E)) )
=> ~ greater(equilibrium(E),T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [E,T] :
( ( environment(E)
& in_environment(E,T) )
=> ( ( decreases(resources(E,T))
=> ~ decreases(number_of_organizations(E,T)) )
& ( constant(resources(E,T))
=> constant(number_of_organizations(E,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& constant(number_of_organizations(E,T)) )
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E)) )
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E)) )
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,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,
! [E,T] :
( ~ environment(E)
| ~ greater_or_equal(T,equilibrium(E))
| ~ greater(equilibrium(E),T) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ greater(equilibrium(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,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)],[f4]) ).
fof(f17,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)],[f15]) ).
fof(f18,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( ( ~ decreases(resources(E,T))
| ~ decreases(number_of_organizations(E,T)) )
& ( ~ constant(resources(E,T))
| constant(number_of_organizations(E,T)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f21,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ constant(number_of_organizations(E,T))
| ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [T] :
( pd0_0(T)
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ) ),
introduced(predicate_definition,[f21]) ).
fof(f23,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ constant(number_of_organizations(E,T))
| pd0_0(T)
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ),
inference(formula_renaming,[status(thm)],[f21,f22]) ).
fof(f24,plain,
! [T] :
( ! [E] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ constant(number_of_organizations(E,T)) )
| pd0_0(T)
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| pd0_0(X1)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| pd0_0(X1)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f27,plain,
? [E,T] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E))
& ( growth_rate(first_movers,T) != zero
| growth_rate(efficient_producers,T) != zero )
& ( ~ greater(growth_rate(first_movers,T),zero)
| ~ greater(zero,growth_rate(efficient_producers,T)) )
& ( ~ greater(growth_rate(efficient_producers,T),zero)
| ~ greater(zero,growth_rate(first_movers,T)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
? [T] :
( ? [E] :
( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E)) )
& ( growth_rate(first_movers,T) != zero
| growth_rate(efficient_producers,T) != zero )
& ( ~ greater(growth_rate(first_movers,T),zero)
| ~ greater(zero,growth_rate(efficient_producers,T)) )
& ( ~ greater(growth_rate(efficient_producers,T),zero)
| ~ greater(zero,growth_rate(first_movers,T)) ) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f29,plain,
( environment(sk0_1)
& subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)
& greater_or_equal(sk0_0,equilibrium(sk0_1))
& ( growth_rate(first_movers,sk0_0) != zero
| growth_rate(efficient_producers,sk0_0) != zero )
& ( ~ greater(growth_rate(first_movers,sk0_0),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk0_0)) )
& ( ~ greater(growth_rate(efficient_producers,sk0_0),zero)
| ~ greater(zero,growth_rate(first_movers,sk0_0)) ) ),
inference(skolemization,[status(esa)],[f28]) ).
fof(f30,plain,
environment(sk0_1),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
subpopulations(first_movers,efficient_producers,sk0_1,sk0_0),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f32,plain,
greater_or_equal(sk0_0,equilibrium(sk0_1)),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f33,plain,
( growth_rate(first_movers,sk0_0) != zero
| growth_rate(efficient_producers,sk0_0) != zero ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f34,plain,
( ~ greater(growth_rate(first_movers,sk0_0),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk0_0)) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f35,plain,
( ~ greater(growth_rate(efficient_producers,sk0_0),zero)
| ~ greater(zero,growth_rate(first_movers,sk0_0)) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f36,plain,
! [T] :
( ~ pd0_0(T)
| ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f37,plain,
! [T] :
( pd0_1(T)
=> ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero ) ),
introduced(predicate_definition,[f36]) ).
fof(f38,plain,
! [T] :
( ~ pd0_0(T)
| pd0_1(T)
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(formula_renaming,[status(thm)],[f36,f37]) ).
fof(f39,plain,
! [X0] :
( ~ pd0_0(X0)
| pd0_1(X0)
| greater(growth_rate(first_movers,X0),zero) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [X0] :
( ~ pd0_0(X0)
| pd0_1(X0)
| greater(zero,growth_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f41,plain,
! [T] :
( ~ pd0_1(T)
| ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero ) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f42,plain,
! [X0] :
( ~ pd0_1(X0)
| growth_rate(first_movers,X0) = zero ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0] :
( ~ pd0_1(X0)
| growth_rate(efficient_producers,X0) = zero ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f44,plain,
( spl0_0
<=> growth_rate(first_movers,sk0_0) = zero ),
introduced(split_symbol_definition) ).
fof(f46,plain,
( growth_rate(first_movers,sk0_0) != zero
| spl0_0 ),
inference(component_clause,[status(thm)],[f44]) ).
fof(f47,plain,
( spl0_1
<=> growth_rate(efficient_producers,sk0_0) = zero ),
introduced(split_symbol_definition) ).
fof(f49,plain,
( growth_rate(efficient_producers,sk0_0) != zero
| spl0_1 ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f33,f44,f47]) ).
fof(f51,plain,
( spl0_2
<=> greater(growth_rate(first_movers,sk0_0),zero) ),
introduced(split_symbol_definition) ).
fof(f53,plain,
( ~ greater(growth_rate(first_movers,sk0_0),zero)
| spl0_2 ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( spl0_3
<=> greater(zero,growth_rate(efficient_producers,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f56,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk0_0))
| spl0_3 ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f34,f51,f54]) ).
fof(f58,plain,
( spl0_4
<=> greater(growth_rate(efficient_producers,sk0_0),zero) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( spl0_5
<=> greater(zero,growth_rate(first_movers,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f64,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f35,f58,f61]) ).
fof(f65,plain,
( spl0_6
<=> environment(sk0_1) ),
introduced(split_symbol_definition) ).
fof(f67,plain,
( ~ environment(sk0_1)
| spl0_6 ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( spl0_7
<=> in_environment(sk0_1,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( ~ environment(sk0_1)
| in_environment(sk0_1,sk0_0) ),
inference(resolution,[status(thm)],[f10,f31]) ).
fof(f72,plain,
( ~ spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f71,f65,f68]) ).
fof(f73,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f30]) ).
fof(f74,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f73]) ).
fof(f75,plain,
( spl0_8
<=> greater(equilibrium(sk0_1),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f78,plain,
( ~ environment(sk0_1)
| ~ greater(equilibrium(sk0_1),sk0_0) ),
inference(resolution,[status(thm)],[f14,f32]) ).
fof(f79,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f78,f65,f75]) ).
fof(f80,plain,
( spl0_9
<=> greater(number_of_organizations(sk0_1,sk0_0),zero) ),
introduced(split_symbol_definition) ).
fof(f81,plain,
( greater(number_of_organizations(sk0_1,sk0_0),zero)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( ~ environment(sk0_1)
| greater(number_of_organizations(sk0_1,sk0_0),zero) ),
inference(resolution,[status(thm)],[f12,f31]) ).
fof(f84,plain,
( ~ spl0_6
| spl0_9 ),
inference(split_clause,[status(thm)],[f83,f65,f80]) ).
fof(f85,plain,
( spl0_10
<=> constant(number_of_organizations(sk0_1,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f88,plain,
( spl0_11
<=> pd0_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f91,plain,
( ~ environment(sk0_1)
| ~ constant(number_of_organizations(sk0_1,sk0_0))
| pd0_0(sk0_0)
| greater(growth_rate(efficient_producers,sk0_0),zero) ),
inference(resolution,[status(thm)],[f25,f31]) ).
fof(f92,plain,
( ~ spl0_6
| ~ spl0_10
| spl0_11
| spl0_4 ),
inference(split_clause,[status(thm)],[f91,f65,f85,f88,f58]) ).
fof(f93,plain,
( ~ environment(sk0_1)
| ~ constant(number_of_organizations(sk0_1,sk0_0))
| pd0_0(sk0_0)
| greater(zero,growth_rate(first_movers,sk0_0)) ),
inference(resolution,[status(thm)],[f26,f31]) ).
fof(f94,plain,
( ~ spl0_6
| ~ spl0_10
| spl0_11
| spl0_5 ),
inference(split_clause,[status(thm)],[f93,f65,f85,f88,f61]) ).
fof(f95,plain,
( spl0_12
<=> pd0_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f96,plain,
( pd0_1(sk0_0)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( ~ pd0_0(sk0_0)
| pd0_1(sk0_0)
| spl0_2 ),
inference(resolution,[status(thm)],[f53,f39]) ).
fof(f99,plain,
( ~ spl0_11
| spl0_12
| spl0_2 ),
inference(split_clause,[status(thm)],[f98,f88,f95,f51]) ).
fof(f100,plain,
( ~ pd0_1(sk0_0)
| spl0_0 ),
inference(resolution,[status(thm)],[f46,f42]) ).
fof(f101,plain,
( $false
| ~ spl0_12
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f96]) ).
fof(f102,plain,
( ~ spl0_12
| spl0_0 ),
inference(contradiction_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( spl0_13
<=> constant(resources(sk0_1,sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f104,plain,
( constant(resources(sk0_1,sk0_0))
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( ~ environment(sk0_1)
| ~ in_environment(sk0_1,sk0_0)
| greater(equilibrium(sk0_1),sk0_0)
| constant(resources(sk0_1,sk0_0))
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f81,f17]) ).
fof(f107,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| spl0_13
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f106,f65,f68,f75,f103,f80]) ).
fof(f113,plain,
( ~ environment(sk0_1)
| ~ in_environment(sk0_1,sk0_0)
| constant(number_of_organizations(sk0_1,sk0_0))
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f104,f20]) ).
fof(f114,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_10
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f113,f65,f68,f85,f103]) ).
fof(f115,plain,
( ~ pd0_1(sk0_0)
| spl0_1 ),
inference(resolution,[status(thm)],[f49,f43]) ).
fof(f116,plain,
( ~ spl0_12
| spl0_1 ),
inference(split_clause,[status(thm)],[f115,f95,f47]) ).
fof(f117,plain,
( ~ pd0_0(sk0_0)
| pd0_1(sk0_0)
| spl0_3 ),
inference(resolution,[status(thm)],[f56,f40]) ).
fof(f118,plain,
( ~ spl0_11
| spl0_12
| spl0_3 ),
inference(split_clause,[status(thm)],[f117,f88,f95,f54]) ).
fof(f119,plain,
$false,
inference(sat_refutation,[status(thm)],[f50,f57,f64,f72,f74,f79,f84,f92,f94,f99,f102,f107,f114,f116,f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:08:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.022272 seconds
% 0.13/0.37 % CPU time: 0.033585 seconds
% 0.13/0.37 % Memory used: 11.595 MB
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