TSTP Solution File: GEO461+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO461+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 Aug 30 23:35:59 EDT 2023
% Result : Theorem 19.50s 4.33s
% Output : Refutation 19.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 23 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-2 aty)
% Number of variables : 67 (; 57 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21797,plain,
$false,
inference(subsumption_resolution,[],[f21796,f17714]) ).
fof(f17714,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))) = s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))),
inference(cnf_transformation,[],[f4902]) ).
fof(f4902,plain,
! [X0,X1,X2] : s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))) = s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))),
inference(rectify,[],[f3291]) ).
fof(f3291,axiom,
! [X1354,X1355,X7] : s(real,i(s(fun(cart(real,finite_sum(X1354,X1355)),real),vectoru_norm),s(cart(real,finite_sum(X1354,X1355)),i(s(fun(cart(real,X1355),cart(real,finite_sum(X1354,X1355))),i(s(fun(cart(real,X1354),fun(cart(real,X1355),cart(real,finite_sum(X1354,X1355)))),pastecart),s(cart(real,X1354),i(s(fun(num,cart(real,X1354)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1355),X7))))) = s(real,i(s(fun(cart(real,X1355),real),vectoru_norm),s(cart(real,X1355),X7))),
file('/export/starexec/sandbox2/tmp/tmp.HrrrVdvBuN/Vampire---4.8_20712',aNORMu_PASTECARTu_0u_conjunct1) ).
fof(f21796,plain,
s(real,i(s(fun(cart(real,sK35),real),vectoru_norm),s(cart(real,sK35),i(s(fun(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),fun(cart(real,sK35),cart(real,sK35))),vectoru_sub),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))) != s(real,i(s(fun(cart(real,finite_sum(sK34,sK35)),real),vectoru_norm),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),i(s(fun(num,cart(real,sK34)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,sK35),i(s(fun(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),fun(cart(real,sK35),cart(real,sK35))),vectoru_sub),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))))),
inference(forward_demodulation,[],[f21795,f15611]) ).
fof(f15611,plain,
! [X0,X1] : s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = 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),X1))),
inference(cnf_transformation,[],[f3987]) ).
fof(f3987,plain,
! [X0,X1] : s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = 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),X1))),
inference(rectify,[],[f2763]) ).
fof(f2763,axiom,
! [X974,X0] : s(cart(real,X974),i(s(fun(cart(real,X974),cart(real,X974)),i(s(fun(cart(real,X974),fun(cart(real,X974),cart(real,X974))),vectoru_sub),s(cart(real,X974),X0))),s(cart(real,X974),X0))) = s(cart(real,X974),i(s(fun(num,cart(real,X974)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox2/tmp/tmp.HrrrVdvBuN/Vampire---4.8_20712',aVECTORu_SUBu_REFL) ).
fof(f21795,plain,
s(real,i(s(fun(cart(real,sK35),real),vectoru_norm),s(cart(real,sK35),i(s(fun(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),fun(cart(real,sK35),cart(real,sK35))),vectoru_sub),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))) != s(real,i(s(fun(cart(real,finite_sum(sK34,sK35)),real),vectoru_norm),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),i(s(fun(cart(real,sK34),cart(real,sK34)),i(s(fun(cart(real,sK34),fun(cart(real,sK34),cart(real,sK34))),vectoru_sub),s(cart(real,sK34),sK36))),s(cart(real,sK34),sK36))))),s(cart(real,sK35),i(s(fun(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),fun(cart(real,sK35),cart(real,sK35))),vectoru_sub),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))))),
inference(forward_demodulation,[],[f21793,f21378]) ).
fof(f21378,plain,
! [X2,X3,X0,X1,X4,X5] : s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,finite_sum(X0,X1)),fun(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1)))),vectoru_sub),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X4))),s(cart(real,X1),X5))))) = s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),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),X4))))),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X5))))),
inference(cnf_transformation,[],[f6155]) ).
fof(f6155,plain,
! [X0,X1,X2,X3,X4,X5] : s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,finite_sum(X0,X1)),fun(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1)))),vectoru_sub),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X4))),s(cart(real,X1),X5))))) = s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),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),X4))))),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X5))))),
inference(rectify,[],[f3279]) ).
fof(f3279,axiom,
! [X737,X732,X31,X99,X80,X100] : s(cart(real,finite_sum(X737,X732)),i(s(fun(cart(real,finite_sum(X737,X732)),cart(real,finite_sum(X737,X732))),i(s(fun(cart(real,finite_sum(X737,X732)),fun(cart(real,finite_sum(X737,X732)),cart(real,finite_sum(X737,X732)))),vectoru_sub),s(cart(real,finite_sum(X737,X732)),i(s(fun(cart(real,X732),cart(real,finite_sum(X737,X732))),i(s(fun(cart(real,X737),fun(cart(real,X732),cart(real,finite_sum(X737,X732)))),pastecart),s(cart(real,X737),X31))),s(cart(real,X732),X99))))),s(cart(real,finite_sum(X737,X732)),i(s(fun(cart(real,X732),cart(real,finite_sum(X737,X732))),i(s(fun(cart(real,X737),fun(cart(real,X732),cart(real,finite_sum(X737,X732)))),pastecart),s(cart(real,X737),X80))),s(cart(real,X732),X100))))) = s(cart(real,finite_sum(X737,X732)),i(s(fun(cart(real,X732),cart(real,finite_sum(X737,X732))),i(s(fun(cart(real,X737),fun(cart(real,X732),cart(real,finite_sum(X737,X732)))),pastecart),s(cart(real,X737),i(s(fun(cart(real,X737),cart(real,X737)),i(s(fun(cart(real,X737),fun(cart(real,X737),cart(real,X737))),vectoru_sub),s(cart(real,X737),X31))),s(cart(real,X737),X80))))),s(cart(real,X732),i(s(fun(cart(real,X732),cart(real,X732)),i(s(fun(cart(real,X732),fun(cart(real,X732),cart(real,X732))),vectoru_sub),s(cart(real,X732),X99))),s(cart(real,X732),X100))))),
file('/export/starexec/sandbox2/tmp/tmp.HrrrVdvBuN/Vampire---4.8_20712',aPASTECARTu_SUB) ).
fof(f21793,plain,
s(real,i(s(fun(cart(real,sK35),real),vectoru_norm),s(cart(real,sK35),i(s(fun(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),fun(cart(real,sK35),cart(real,sK35))),vectoru_sub),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))) != s(real,i(s(fun(cart(real,finite_sum(sK34,sK35)),real),vectoru_norm),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,finite_sum(sK34,sK35)),fun(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35)))),vectoru_sub),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK37))))),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK38))))))),
inference(superposition,[],[f21792,f17757]) ).
fof(f17757,plain,
! [X2,X0,X1] : 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(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))))),
inference(cnf_transformation,[],[f4945]) ).
fof(f4945,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(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))))),
inference(rectify,[],[f2817]) ).
fof(f2817,axiom,
! [X1011,X0,X7] : s(real,i(s(fun(prod(cart(real,X1011),cart(real,X1011)),real),distance),s(prod(cart(real,X1011),cart(real,X1011)),i(s(fun(cart(real,X1011),prod(cart(real,X1011),cart(real,X1011))),i(s(fun(cart(real,X1011),fun(cart(real,X1011),prod(cart(real,X1011),cart(real,X1011)))),c_),s(cart(real,X1011),X0))),s(cart(real,X1011),X7))))) = s(real,i(s(fun(cart(real,X1011),real),vectoru_norm),s(cart(real,X1011),i(s(fun(cart(real,X1011),cart(real,X1011)),i(s(fun(cart(real,X1011),fun(cart(real,X1011),cart(real,X1011))),vectoru_sub),s(cart(real,X1011),X0))),s(cart(real,X1011),X7))))),
file('/export/starexec/sandbox2/tmp/tmp.HrrrVdvBuN/Vampire---4.8_20712',adist) ).
fof(f21792,plain,
s(real,i(s(fun(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),real),distance),s(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35)))),i(s(fun(cart(real,finite_sum(sK34,sK35)),fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))))),c_),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK37))))),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK38))))))) != s(real,i(s(fun(cart(real,sK35),real),vectoru_norm),s(cart(real,sK35),i(s(fun(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),fun(cart(real,sK35),cart(real,sK35))),vectoru_sub),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))),
inference(forward_demodulation,[],[f13994,f17757]) ).
fof(f13994,plain,
s(real,i(s(fun(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),real),distance),s(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35)))),i(s(fun(cart(real,finite_sum(sK34,sK35)),fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))))),c_),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK37))))),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK38))))))) != s(real,i(s(fun(prod(cart(real,sK35),cart(real,sK35)),real),distance),s(prod(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),prod(cart(real,sK35),cart(real,sK35))),i(s(fun(cart(real,sK35),fun(cart(real,sK35),prod(cart(real,sK35),cart(real,sK35)))),c_),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))),
inference(cnf_transformation,[],[f8454]) ).
fof(f8454,plain,
s(real,i(s(fun(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),real),distance),s(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35)))),i(s(fun(cart(real,finite_sum(sK34,sK35)),fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))))),c_),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK37))))),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK38))))))) != s(real,i(s(fun(prod(cart(real,sK35),cart(real,sK35)),real),distance),s(prod(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),prod(cart(real,sK35),cart(real,sK35))),i(s(fun(cart(real,sK35),fun(cart(real,sK35),prod(cart(real,sK35),cart(real,sK35)))),c_),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38])],[f6245,f8453]) ).
fof(f8453,plain,
( ? [X0,X1,X2,X3,X4] : s(real,i(s(fun(prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),real),distance),s(prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,finite_sum(X0,X1)),prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1)))),i(s(fun(cart(real,finite_sum(X0,X1)),fun(cart(real,finite_sum(X0,X1)),prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))))),c_),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X4))))))) != s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X3))),s(cart(real,X1),X4)))))
=> s(real,i(s(fun(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),real),distance),s(prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35)))),i(s(fun(cart(real,finite_sum(sK34,sK35)),fun(cart(real,finite_sum(sK34,sK35)),prod(cart(real,finite_sum(sK34,sK35)),cart(real,finite_sum(sK34,sK35))))),c_),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK37))))),s(cart(real,finite_sum(sK34,sK35)),i(s(fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35))),i(s(fun(cart(real,sK34),fun(cart(real,sK35),cart(real,finite_sum(sK34,sK35)))),pastecart),s(cart(real,sK34),sK36))),s(cart(real,sK35),sK38))))))) != s(real,i(s(fun(prod(cart(real,sK35),cart(real,sK35)),real),distance),s(prod(cart(real,sK35),cart(real,sK35)),i(s(fun(cart(real,sK35),prod(cart(real,sK35),cart(real,sK35))),i(s(fun(cart(real,sK35),fun(cart(real,sK35),prod(cart(real,sK35),cart(real,sK35)))),c_),s(cart(real,sK35),sK37))),s(cart(real,sK35),sK38))))) ),
introduced(choice_axiom,[]) ).
fof(f6245,plain,
? [X0,X1,X2,X3,X4] : s(real,i(s(fun(prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),real),distance),s(prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,finite_sum(X0,X1)),prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1)))),i(s(fun(cart(real,finite_sum(X0,X1)),fun(cart(real,finite_sum(X0,X1)),prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))))),c_),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X4))))))) != s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X3))),s(cart(real,X1),X4))))),
inference(ennf_transformation,[],[f3295]) ).
fof(f3295,plain,
~ ! [X0,X1,X2,X3,X4] : s(real,i(s(fun(prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),real),distance),s(prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,finite_sum(X0,X1)),prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1)))),i(s(fun(cart(real,finite_sum(X0,X1)),fun(cart(real,finite_sum(X0,X1)),prod(cart(real,finite_sum(X0,X1)),cart(real,finite_sum(X0,X1))))),c_),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X4))))))) = s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X3))),s(cart(real,X1),X4))))),
inference(rectify,[],[f3294]) ).
fof(f3294,negated_conjecture,
~ ! [X1358,X1359,X0,X7,X251] : s(real,i(s(fun(prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359))),real),distance),s(prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359))),i(s(fun(cart(real,finite_sum(X1358,X1359)),prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359)))),i(s(fun(cart(real,finite_sum(X1358,X1359)),fun(cart(real,finite_sum(X1358,X1359)),prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359))))),c_),s(cart(real,finite_sum(X1358,X1359)),i(s(fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359))),i(s(fun(cart(real,X1358),fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359)))),pastecart),s(cart(real,X1358),X0))),s(cart(real,X1359),X7))))),s(cart(real,finite_sum(X1358,X1359)),i(s(fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359))),i(s(fun(cart(real,X1358),fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359)))),pastecart),s(cart(real,X1358),X0))),s(cart(real,X1359),X251))))))) = s(real,i(s(fun(prod(cart(real,X1359),cart(real,X1359)),real),distance),s(prod(cart(real,X1359),cart(real,X1359)),i(s(fun(cart(real,X1359),prod(cart(real,X1359),cart(real,X1359))),i(s(fun(cart(real,X1359),fun(cart(real,X1359),prod(cart(real,X1359),cart(real,X1359)))),c_),s(cart(real,X1359),X7))),s(cart(real,X1359),X251))))),
inference(negated_conjecture,[],[f3293]) ).
fof(f3293,conjecture,
! [X1358,X1359,X0,X7,X251] : s(real,i(s(fun(prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359))),real),distance),s(prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359))),i(s(fun(cart(real,finite_sum(X1358,X1359)),prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359)))),i(s(fun(cart(real,finite_sum(X1358,X1359)),fun(cart(real,finite_sum(X1358,X1359)),prod(cart(real,finite_sum(X1358,X1359)),cart(real,finite_sum(X1358,X1359))))),c_),s(cart(real,finite_sum(X1358,X1359)),i(s(fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359))),i(s(fun(cart(real,X1358),fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359)))),pastecart),s(cart(real,X1358),X0))),s(cart(real,X1359),X7))))),s(cart(real,finite_sum(X1358,X1359)),i(s(fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359))),i(s(fun(cart(real,X1358),fun(cart(real,X1359),cart(real,finite_sum(X1358,X1359)))),pastecart),s(cart(real,X1358),X0))),s(cart(real,X1359),X251))))))) = s(real,i(s(fun(prod(cart(real,X1359),cart(real,X1359)),real),distance),s(prod(cart(real,X1359),cart(real,X1359)),i(s(fun(cart(real,X1359),prod(cart(real,X1359),cart(real,X1359))),i(s(fun(cart(real,X1359),fun(cart(real,X1359),prod(cart(real,X1359),cart(real,X1359)))),c_),s(cart(real,X1359),X7))),s(cart(real,X1359),X251))))),
file('/export/starexec/sandbox2/tmp/tmp.HrrrVdvBuN/Vampire---4.8_20712',aDISTu_PASTECARTu_CANCELu_conjunct1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.92/0.99 % Problem : GEO461+1 : TPTP v8.1.2. Released v7.0.0.
% 0.92/1.00 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 1.04/1.21 % Computer : n009.cluster.edu
% 1.04/1.21 % Model : x86_64 x86_64
% 1.04/1.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.04/1.21 % Memory : 8042.1875MB
% 1.04/1.21 % OS : Linux 3.10.0-693.el7.x86_64
% 1.04/1.21 % CPULimit : 300
% 1.04/1.21 % WCLimit : 300
% 1.04/1.21 % DateTime : Tue Aug 29 23:58:51 EDT 2023
% 1.04/1.21 % CPUTime :
% 1.04/1.21 This is a FOF_THM_RFO_SEQ problem
% 1.04/1.21 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.HrrrVdvBuN/Vampire---4.8_20712
% 1.04/1.22 % (20819)Running in auto input_syntax mode. Trying TPTP
% 1.61/1.79 % (20826)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 1.61/1.82 % (20821)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 1.61/1.82 % (20822)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 1.61/1.82 % (20824)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 1.61/1.82 % (20820)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 1.61/1.82 % (20825)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 1.61/1.82 % (20823)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 19.24/4.32 % (20824)First to succeed.
% 19.50/4.33 % (20824)Refutation found. Thanks to Tanya!
% 19.50/4.33 % SZS status Theorem for Vampire---4
% 19.50/4.33 % SZS output start Proof for Vampire---4
% See solution above
% 19.50/4.33 % (20824)------------------------------
% 19.50/4.33 % (20824)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 19.50/4.33 % (20824)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 19.50/4.33 % (20824)Termination reason: Refutation
% 19.50/4.33
% 19.50/4.33 % (20824)Memory used [KB]: 110275
% 19.50/4.33 % (20824)Time elapsed: 2.502 s
% 19.50/4.33 % (20824)------------------------------
% 19.50/4.33 % (20824)------------------------------
% 19.50/4.33 % (20819)Success in time 3.114 s
% 19.50/4.34 % Vampire---4.8 exiting
%------------------------------------------------------------------------------