TSTP Solution File: HEN009-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:12:51 EDT 2023
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 47 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 28 (; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : divide(X,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] :
( ~ less_equal(divide(X,Y),Z)
| less_equal(divide(X,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] :
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f22,plain,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
! [X0] : divide(X0,X0) = zero,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f31,plain,
! [X,Y] :
( ~ less_equal(X,Y)
| ! [Z] : less_equal(divide(Z,Y),divide(Z,X)) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f35,plain,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f86,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[status(thm)],[f18,f26]) ).
fof(f118,plain,
( spl0_11
<=> less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))
| spl0_11 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( spl0_12
<=> less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) ),
introduced(split_symbol_definition) ).
fof(f123,plain,
( ~ less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))
| spl0_12 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))
| ~ less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) ),
inference(resolution,[status(thm)],[f22,f35]) ).
fof(f125,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f124,f118,f121]) ).
fof(f799,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[status(thm)],[f30,f86]) ).
fof(f924,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f799]) ).
fof(f925,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f993,plain,
( ~ less_equal(divide(identity,divide(identity,a)),a)
| spl0_11 ),
inference(resolution,[status(thm)],[f120,f32]) ).
fof(f994,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f799]) ).
fof(f995,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f996,plain,
$false,
inference(sat_refutation,[status(thm)],[f125,f925,f995]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HEN009-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:03:45 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.45 % Elapsed time: 0.101963 seconds
% 0.20/0.45 % CPU time: 0.670113 seconds
% 0.20/0.45 % Memory used: 40.555 MB
%------------------------------------------------------------------------------