TSTP Solution File: MGT048+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT048+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 : Tue Apr 30 20:28:48 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 113 ( 21 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 121 ( 46 ~; 43 |; 20 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 55 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& greater(internal_friction(X,T),internal_friction(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& internal_friction(X,T) = internal_friction(X,T0) )
=> capability(X,T) = capability(X,T0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,T0,T] :
( organization(X)
=> stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(internal_friction(X,T),internal_friction(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,conjecture,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
! [X,Y] :
( ( ~ smaller_or_equal(X,Y)
| smaller(X,Y)
| X = Y )
& ( smaller_or_equal(X,Y)
| ( ~ smaller(X,Y)
& X != Y ) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
( ! [X,Y] :
( ~ smaller_or_equal(X,Y)
| smaller(X,Y)
| X = Y )
& ! [X,Y] :
( smaller_or_equal(X,Y)
| ( ~ smaller(X,Y)
& X != Y ) ) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f32,plain,
! [X,T0,T] :
( ~ organization(X)
| ( ( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) )
& ( ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ greater(internal_friction(X,T),internal_friction(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ( stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| internal_friction(X,T) != internal_friction(X,T0)
| capability(X,T) = capability(X,T0) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f33,plain,
! [X] :
( ~ organization(X)
| ( ! [T0,T] :
( ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| greater(capability(X,T),capability(X,T0)) )
& ! [T0,T] :
( ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
| ~ greater(internal_friction(X,T),internal_friction(X,T0))
| smaller(capability(X,T),capability(X,T0)) )
& ! [T0,T] :
( stock_of_knowledge(X,T) != stock_of_knowledge(X,T0)
| internal_friction(X,T) != internal_friction(X,T0)
| capability(X,T) = capability(X,T0) ) ) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f37,plain,
! [X,T0,T] :
( ~ organization(X)
| stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f38,plain,
! [X] :
( ~ organization(X)
| ! [T0,T] : stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [X,T0,T] :
( ~ organization(X)
| ~ greater(age(X,T),age(X,T0))
| greater(internal_friction(X,T),internal_friction(X,T0)) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
? [X,T0,T] :
( organization(X)
& greater(age(X,T),age(X,T0))
& ~ smaller(capability(X,T),capability(X,T0)) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f43,plain,
( organization(sk0_0)
& greater(age(sk0_0,sk0_2),age(sk0_0,sk0_1))
& ~ smaller(capability(sk0_0,sk0_2),capability(sk0_0,sk0_1)) ),
inference(skolemization,[status(esa)],[f42]) ).
fof(f44,plain,
organization(sk0_0),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
greater(age(sk0_0,sk0_2),age(sk0_0,sk0_1)),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f46,plain,
~ smaller(capability(sk0_0,sk0_2),capability(sk0_0,sk0_1)),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f48,plain,
! [X0,X1] : stock_of_knowledge(sk0_0,X0) = stock_of_knowledge(sk0_0,X1),
inference(resolution,[status(thm)],[f39,f44]) ).
fof(f81,plain,
( spl0_2
<=> organization(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( ~ organization(sk0_0)
| spl0_2 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( spl0_3
<=> greater(internal_friction(sk0_0,sk0_2),internal_friction(sk0_0,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( ~ organization(sk0_0)
| greater(internal_friction(sk0_0,sk0_2),internal_friction(sk0_0,sk0_1)) ),
inference(resolution,[status(thm)],[f41,f45]) ).
fof(f88,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f87,f81,f84]) ).
fof(f93,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f83,f44]) ).
fof(f94,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f93]) ).
fof(f165,plain,
( spl0_9
<=> smaller_or_equal(stock_of_knowledge(sk0_0,sk0_2),stock_of_knowledge(sk0_0,sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f167,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk0_0,sk0_2),stock_of_knowledge(sk0_0,sk0_1))
| spl0_9 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( ~ organization(sk0_0)
| ~ smaller_or_equal(stock_of_knowledge(sk0_0,sk0_2),stock_of_knowledge(sk0_0,sk0_1))
| ~ greater(internal_friction(sk0_0,sk0_2),internal_friction(sk0_0,sk0_1)) ),
inference(resolution,[status(thm)],[f35,f46]) ).
fof(f169,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f168,f81,f165,f84]) ).
fof(f231,plain,
( stock_of_knowledge(sk0_0,sk0_2) != stock_of_knowledge(sk0_0,sk0_1)
| spl0_9 ),
inference(resolution,[status(thm)],[f167,f16]) ).
fof(f232,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f48]) ).
fof(f233,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f232]) ).
fof(f234,plain,
$false,
inference(sat_refutation,[status(thm)],[f88,f94,f169,f233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT048+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 : Mon Apr 29 23:57:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.068183 seconds
% 0.13/0.42 % CPU time: 0.439633 seconds
% 0.13/0.42 % Total memory used: 55.542 MB
% 0.13/0.42 % Net memory used: 55.091 MB
%------------------------------------------------------------------------------