TSTP Solution File: GEO443+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 : 600s
% DateTime : Sat Jul 16 05:26:41 EDT 2022
% Result : Theorem 219.73s 219.95s
% Output : CNFRefutation 219.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 23 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 27 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(adist,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))))) ).
fof(aNORMu_SUB,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))))) ).
fof(aDISTu_SYM,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))))) ).
fof(subgoal_0,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(strip,[],[aDISTu_SYM]) ).
fof(negate_0_0,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(negate,[],[subgoal_0]) ).
fof(normalize_0_0,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(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [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))))),
inference(canonicalize,[],[adist]) ).
fof(normalize_0_3,plain,
! [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))))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [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))))),
inference(canonicalize,[],[aNORMu_SUB]) ).
fof(normalize_0_5,plain,
! [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))))),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
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))))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) = s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),
inference(subst,[],[refute_0_1:[bind(Q100698,$fot(skolemFOFtoCNF_Q104680)),bind(X,$fot(skolemFOFtoCNF_X_779)),bind(Y,$fot(skolemFOFtoCNF_Y_347))]]) ).
cnf(refute_0_3,plain,
( s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) = s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) ),
introduced(tautology,[equality,[$cnf( $equal(s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))) ),[1],$fot(s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))))]]) ).
cnf(refute_0_4,plain,
( s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) = s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) ),
inference(resolve,[$cnf( $equal(s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),X))),s(cart(real,Q102210),Y))))) = s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X))))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_6,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_7,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_8,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),X))),s(cart(real,Q102210),Y))))) != s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X)))))
| s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X))))) = s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),X))),s(cart(real,Q102210),Y))))) ),
inference(subst,[],[refute_0_8:[bind(X0,$fot(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))))))),bind(Y0,$fot(s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X)))))))]]) ).
cnf(refute_0_10,plain,
s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X))))) = s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),X))),s(cart(real,Q102210),Y))))),
inference(resolve,[$cnf( $equal(s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),X))),s(cart(real,Q102210),Y))))),s(real,i(s(fun(cart(real,Q102210),real),vectoru_norm),s(cart(real,Q102210),i(s(fun(cart(real,Q102210),cart(real,Q102210)),i(s(fun(cart(real,Q102210),fun(cart(real,Q102210),cart(real,Q102210))),vectoru_sub),s(cart(real,Q102210),Y))),s(cart(real,Q102210),X)))))) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) = s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),
inference(subst,[],[refute_0_10:[bind(Q102210,$fot(skolemFOFtoCNF_Q104680)),bind(X,$fot(skolemFOFtoCNF_X_779)),bind(Y,$fot(skolemFOFtoCNF_Y_347))]]) ).
cnf(refute_0_12,plain,
s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) = s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))),
inference(subst,[],[refute_0_1:[bind(Q100698,$fot(skolemFOFtoCNF_Q104680)),bind(X,$fot(skolemFOFtoCNF_Y_347)),bind(Y,$fot(skolemFOFtoCNF_X_779))]]) ).
cnf(refute_0_13,plain,
( Y0 != X0
| Y0 != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_14,plain,
( X0 != Y0
| Y0 != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
( s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) = s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) ),
inference(subst,[],[refute_0_14:[bind(X0,$fot(s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))))),bind(Y0,$fot(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))))),bind(Z,$fot(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))))]]) ).
cnf(refute_0_16,plain,
( s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) = s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) ),
inference(resolve,[$cnf( $equal(s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))),s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779)))))) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) = s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),
inference(resolve,[$cnf( $equal(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))),s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
( s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))
| s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) = s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779)))))) ),[1],$fot(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))))]]) ).
cnf(refute_0_19,plain,
( s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))
| s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) = s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) ),
inference(resolve,[$cnf( $equal(s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))),s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))
| s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) = s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))))) ),
inference(resolve,[$cnf( $equal(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779)))))) )],[refute_0_19,refute_0_4]) ).
cnf(refute_0_21,plain,
s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) != s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),
inference(resolve,[$cnf( $equal(s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),s(real,i(s(fun(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),real),distance),s(prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),prod(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)))),c_),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779)))))) )],[refute_0_20,refute_0_0]) ).
cnf(refute_0_22,plain,
s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))) = s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),
introduced(tautology,[refl,[$fot(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))))]]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( $equal(s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347))))),s(real,i(s(fun(cart(real,skolemFOFtoCNF_Q104680),real),vectoru_norm),s(cart(real,skolemFOFtoCNF_Q104680),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680)),i(s(fun(cart(real,skolemFOFtoCNF_Q104680),fun(cart(real,skolemFOFtoCNF_Q104680),cart(real,skolemFOFtoCNF_Q104680))),vectoru_sub),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_X_779))),s(cart(real,skolemFOFtoCNF_Q104680),skolemFOFtoCNF_Y_347)))))) )],[refute_0_22,refute_0_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO443+1 : TPTP v8.1.0. Released v7.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 08:51:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 219.73/219.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 219.73/219.95
% 219.73/219.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 219.73/219.98
%------------------------------------------------------------------------------