TSTP Solution File: GEO443+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO443+1 : TPTP v8.1.2. Released v7.0.0.
% 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 12:08:56 EDT 2023
% Result : Theorem 144.54s 19.80s
% Output : CNFRefutation 147.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 21 (; 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2817,axiom,
! [Q100698,X,Y] : s(real,i(s(fun(prod(cart(real,Q100698),cart(real,Q100698)),real),distance),s(prod(cart(real,Q100698),cart(real,Q100698)),i(s(fun(cart(real,Q100698),prod(cart(real,Q100698),cart(real,Q100698))),i(s(fun(cart(real,Q100698),fun(cart(real,Q100698),prod(cart(real,Q100698),cart(real,Q100698)))),c_),s(cart(real,Q100698),X))),s(cart(real,Q100698),Y))))) = s(real,i(s(fun(cart(real,Q100698),real),vectoru_norm),s(cart(real,Q100698),i(s(fun(cart(real,Q100698),cart(real,Q100698)),i(s(fun(cart(real,Q100698),fun(cart(real,Q100698),cart(real,Q100698))),vectoru_sub),s(cart(real,Q100698),X))),s(cart(real,Q100698),Y))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2848,axiom,
! [Q102210,X,Y] : s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),X))),s(cart(real,Q102210),Y))))) = s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2891,conjecture,
! [Q104680,X,Y] : s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),X))),s(cart(real,Q104680),Y))))) = s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),Y))),s(cart(real,Q104680),X))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2892,negated_conjecture,
~ ! [Q104680,X,Y] : s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),X))),s(cart(real,Q104680),Y))))) = s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),Y))),s(cart(real,Q104680),X))))),
inference(negated_conjecture,[status(cth)],[f2891]) ).
fof(f12617,plain,
! [X0,X1,X2] : s(real,i(s(fun(prod(cart(real,X0),cart(real,X0)),real),distance),s(prod(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),prod(cart(real,X0),cart(real,X0))),i(s(fun(cart(real,X0),fun(cart(real,X0),prod(cart(real,X0),cart(real,X0)))),c_),s(cart(real,X0),X1))),s(cart(real,X0),X2))))) = s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X1))),s(cart(real,X0),X2))))),
inference(cnf_transformation,[status(esa)],[f2817]) ).
fof(f12692,plain,
! [X0,X1,X2] : s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X1))),s(cart(real,X0),X2))))) = s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X2))),s(cart(real,X0),X1))))),
inference(cnf_transformation,[status(esa)],[f2848]) ).
fof(f12810,plain,
? [Q104680,X,Y] : s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),X))),s(cart(real,Q104680),Y))))) != s(real,i(s(fun(prod(cart(real,Q104680),cart(real,Q104680)),real),distance),s(prod(cart(real,Q104680),cart(real,Q104680)),i(s(fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680))),i(s(fun(cart(real,Q104680),fun(cart(real,Q104680),prod(cart(real,Q104680),cart(real,Q104680)))),c_),s(cart(real,Q104680),Y))),s(cart(real,Q104680),X))))),
inference(pre_NNF_transformation,[status(esa)],[f2892]) ).
fof(f12811,plain,
s(real,i(s(fun(prod(cart(real,sk0_2957),cart(real,sk0_2957)),real),distance),s(prod(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957))),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957)))),c_),s(cart(real,sk0_2957),sk0_2958))),s(cart(real,sk0_2957),sk0_2959))))) != s(real,i(s(fun(prod(cart(real,sk0_2957),cart(real,sk0_2957)),real),distance),s(prod(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957))),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957)))),c_),s(cart(real,sk0_2957),sk0_2959))),s(cart(real,sk0_2957),sk0_2958))))),
inference(skolemization,[status(esa)],[f12810]) ).
fof(f12812,plain,
s(real,i(s(fun(prod(cart(real,sk0_2957),cart(real,sk0_2957)),real),distance),s(prod(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957))),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957)))),c_),s(cart(real,sk0_2957),sk0_2958))),s(cart(real,sk0_2957),sk0_2959))))) != s(real,i(s(fun(prod(cart(real,sk0_2957),cart(real,sk0_2957)),real),distance),s(prod(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957))),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957)))),c_),s(cart(real,sk0_2957),sk0_2959))),s(cart(real,sk0_2957),sk0_2958))))),
inference(cnf_transformation,[status(esa)],[f12811]) ).
fof(f20585,plain,
s(real,i(s(fun(cart(real,sk0_2957),real),vectoru_norm),s(cart(real,sk0_2957),i(s(fun(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),cart(real,sk0_2957))),vectoru_sub),s(cart(real,sk0_2957),sk0_2958))),s(cart(real,sk0_2957),sk0_2959))))) != s(real,i(s(fun(prod(cart(real,sk0_2957),cart(real,sk0_2957)),real),distance),s(prod(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957))),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),prod(cart(real,sk0_2957),cart(real,sk0_2957)))),c_),s(cart(real,sk0_2957),sk0_2959))),s(cart(real,sk0_2957),sk0_2958))))),
inference(forward_demodulation,[status(thm)],[f12617,f12812]) ).
fof(f20586,plain,
s(real,i(s(fun(cart(real,sk0_2957),real),vectoru_norm),s(cart(real,sk0_2957),i(s(fun(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),cart(real,sk0_2957))),vectoru_sub),s(cart(real,sk0_2957),sk0_2958))),s(cart(real,sk0_2957),sk0_2959))))) != s(real,i(s(fun(cart(real,sk0_2957),real),vectoru_norm),s(cart(real,sk0_2957),i(s(fun(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),cart(real,sk0_2957))),vectoru_sub),s(cart(real,sk0_2957),sk0_2959))),s(cart(real,sk0_2957),sk0_2958))))),
inference(forward_demodulation,[status(thm)],[f12617,f20585]) ).
fof(f20587,plain,
s(real,i(s(fun(cart(real,sk0_2957),real),vectoru_norm),s(cart(real,sk0_2957),i(s(fun(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),cart(real,sk0_2957))),vectoru_sub),s(cart(real,sk0_2957),sk0_2958))),s(cart(real,sk0_2957),sk0_2959))))) != s(real,i(s(fun(cart(real,sk0_2957),real),vectoru_norm),s(cart(real,sk0_2957),i(s(fun(cart(real,sk0_2957),cart(real,sk0_2957)),i(s(fun(cart(real,sk0_2957),fun(cart(real,sk0_2957),cart(real,sk0_2957))),vectoru_sub),s(cart(real,sk0_2957),sk0_2958))),s(cart(real,sk0_2957),sk0_2959))))),
inference(forward_demodulation,[status(thm)],[f12692,f20586]) ).
fof(f20588,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f20587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO443+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 12:02:18 EDT 2023
% 0.10/0.31 % CPUTime :
% 1.47/1.67 % Drodi V3.5.1
% 144.54/19.80 % Refutation found
% 144.54/19.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 144.54/19.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 147.97/20.48 % Elapsed time: 20.135723 seconds
% 147.97/20.48 % CPU time: 146.505234 seconds
% 147.97/20.48 % Memory used: 2.471 GB
%------------------------------------------------------------------------------