TSTP Solution File: HEN009-5 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : HEN009-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( divide(X,Y) != zero
| divide(Y,X) != zero
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : divide(X,identity) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( divide(divide(X,Y),Z) != zero
| divide(divide(X,Z),Y) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( divide(X,Y) != zero
| divide(divide(Z,Y),divide(Z,X)) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0,X1] :
( divide(X0,X1) != zero
| divide(X1,X0) != zero
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] : divide(X0,identity) = zero,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] :
( divide(divide(X0,X1),X2) != zero
| divide(divide(X0,X2),X1) = zero ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X,Y] :
( divide(X,Y) != zero
| ! [Z] : divide(divide(Z,Y),divide(Z,X)) = zero ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] :
( divide(X0,X1) != zero
| divide(divide(X2,X1),divide(X2,X0)) = zero ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f20,plain,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f44,plain,
! [X0,X1] :
( divide(X0,divide(X0,X1)) != zero
| X0 = divide(X0,X1) ),
inference(resolution,[status(thm)],[f10,f13]) ).
fof(f59,plain,
! [X0] :
( divide(X0,zero) != zero
| X0 = divide(X0,identity) ),
inference(paramodulation,[status(thm)],[f14,f44]) ).
fof(f60,plain,
! [X0] :
( divide(X0,zero) != zero
| X0 = zero ),
inference(forward_demodulation,[status(thm)],[f14,f59]) ).
fof(f229,plain,
! [X0,X1] : divide(divide(X0,X0),X1) = zero,
inference(resolution,[status(thm)],[f17,f10]) ).
fof(f268,plain,
! [X0] : divide(X0,X0) = zero,
inference(resolution,[status(thm)],[f229,f60]) ).
fof(f332,plain,
! [X0,X1] : divide(divide(X0,divide(X0,X1)),X1) = zero,
inference(resolution,[status(thm)],[f268,f17]) ).
fof(f816,plain,
! [X0,X1,X2] :
( divide(X0,X1) != zero
| divide(divide(X2,X0),divide(X2,X1)) != zero
| divide(X2,X0) = divide(X2,X1) ),
inference(resolution,[status(thm)],[f19,f13]) ).
fof(f872,plain,
! [X0,X1] :
( divide(divide(X0,divide(X0,X1)),X1) != zero
| divide(X0,divide(X0,divide(X0,X1))) = divide(X0,X1) ),
inference(resolution,[status(thm)],[f816,f332]) ).
fof(f873,plain,
! [X0,X1] :
( zero != zero
| divide(X0,divide(X0,divide(X0,X1))) = divide(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f332,f872]) ).
fof(f874,plain,
! [X0,X1] : divide(X0,divide(X0,divide(X0,X1))) = divide(X0,X1),
inference(trivial_equality_resolution,[status(esa)],[f873]) ).
fof(f968,plain,
divide(identity,a) != divide(identity,a),
inference(backward_demodulation,[status(thm)],[f874,f20]) ).
fof(f969,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN009-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.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 09:51:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38 % Elapsed time: 0.034999 seconds
% 0.20/0.38 % CPU time: 0.138934 seconds
% 0.20/0.38 % Memory used: 12.647 MB
%------------------------------------------------------------------------------