%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO461+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:42 AM UTC 2026
% Result : Theorem 22.45s 5.00s
% Output : Refutation 23.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 48 ( 43 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [X0] : s(num,i(s(fun(num,num),numeral),s(num,X0))) = s(num,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNUMERAL) ).
fof(f2763,axiom,
! [X0,X1] : 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))) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aVECTORu_SUBu_REFL) ).
fof(f2817,axiom,
! [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))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',adist) ).
fof(f3279,axiom,
! [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))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aPASTECARTu_SUB) ).
fof(f3291,axiom,
! [X0,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))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_PASTECARTu_0u_conjunct1) ).
fof(f3293,conjecture,
! [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))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aDISTu_PASTECARTu_CANCELu_conjunct1) ).
fof(f3294,negated_conjecture,
~ ! [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(negated_conjecture,[status(cth)],[f3293]) ).
fof(f3614,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,[],[f3294]) ).
fof(f4653,plain,
s(real,i(s(fun(prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))),real),distance),s(prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,finite_sum(sK58,sK59)),prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59)))),i(s(fun(cart(real,finite_sum(sK58,sK59)),fun(cart(real,finite_sum(sK58,sK59)),prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))))),c_),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK61))))),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK62))))))) != s(real,i(s(fun(prod(cart(real,sK59),cart(real,sK59)),real),distance),s(prod(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),prod(cart(real,sK59),cart(real,sK59))),i(s(fun(cart(real,sK59),fun(cart(real,sK59),prod(cart(real,sK59),cart(real,sK59)))),c_),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58,sK59,sK60,sK61,sK62]),skolemize(X0,sK58),skolemize(X1,sK59),skolemize(X2,sK60),skolemize(X3,sK61),skolemize(X4,sK62)],[f3614]) ).
fof(f6274,plain,
s(real,i(s(fun(prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))),real),distance),s(prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,finite_sum(sK58,sK59)),prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59)))),i(s(fun(cart(real,finite_sum(sK58,sK59)),fun(cart(real,finite_sum(sK58,sK59)),prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))))),c_),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK61))))),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK62))))))) != s(real,i(s(fun(prod(cart(real,sK59),cart(real,sK59)),real),distance),s(prod(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),prod(cart(real,sK59),cart(real,sK59))),i(s(fun(cart(real,sK59),fun(cart(real,sK59),prod(cart(real,sK59),cart(real,sK59)))),c_),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))),
inference(cnf_transformation,[],[f4653]) ).
fof(f6325,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,[],[f3291]) ).
fof(f6336,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,[],[f3279]) ).
fof(f6393,plain,
! [X2,X0,X1] : 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,[],[f2817]) ).
fof(f6780,plain,
! [X0] : s(num,X0) = s(num,i(s(fun(num,num),numeral),s(num,X0))),
inference(cnf_transformation,[],[f200]) ).
fof(f7103,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,[],[f2763]) ).
fof(f10141,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,u_0))))),s(cart(real,X1),X2))))),
inference(forward_demodulation,[],[f6325,f6780]) ).
fof(f10143,plain,
s(real,i(s(fun(prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))),real),distance),s(prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,finite_sum(sK58,sK59)),prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59)))),i(s(fun(cart(real,finite_sum(sK58,sK59)),fun(cart(real,finite_sum(sK58,sK59)),prod(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))))),c_),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK61))))),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK62))))))) != s(real,i(s(fun(cart(real,sK59),real),vectoru_norm),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))),
inference(forward_demodulation,[],[f6274,f6393]) ).
fof(f10389,plain,
s(real,i(s(fun(cart(real,sK59),real),vectoru_norm),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))) != s(real,i(s(fun(cart(real,finite_sum(sK58,sK59)),real),vectoru_norm),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,finite_sum(sK58,sK59)),fun(cart(real,finite_sum(sK58,sK59)),cart(real,finite_sum(sK58,sK59)))),vectoru_sub),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK61))))),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),sK60))),s(cart(real,sK59),sK62))))))),
inference(forward_demodulation,[],[f10143,f6393]) ).
fof(f10491,plain,
s(real,i(s(fun(cart(real,sK59),real),vectoru_norm),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))) != s(real,i(s(fun(cart(real,finite_sum(sK58,sK59)),real),vectoru_norm),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),i(s(fun(cart(real,sK58),cart(real,sK58)),i(s(fun(cart(real,sK58),fun(cart(real,sK58),cart(real,sK58))),vectoru_sub),s(cart(real,sK58),sK60))),s(cart(real,sK58),sK60))))),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))))),
inference(forward_demodulation,[],[f10389,f6336]) ).
fof(f10529,plain,
s(real,i(s(fun(cart(real,sK59),real),vectoru_norm),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))) != s(real,i(s(fun(cart(real,finite_sum(sK58,sK59)),real),vectoru_norm),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),i(s(fun(num,cart(real,sK58)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))))),
inference(forward_demodulation,[],[f10491,f7103]) ).
fof(f10542,plain,
s(real,i(s(fun(cart(real,sK59),real),vectoru_norm),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))) != s(real,i(s(fun(cart(real,finite_sum(sK58,sK59)),real),vectoru_norm),s(cart(real,finite_sum(sK58,sK59)),i(s(fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59))),i(s(fun(cart(real,sK58),fun(cart(real,sK59),cart(real,finite_sum(sK58,sK59)))),pastecart),s(cart(real,sK58),i(s(fun(num,cart(real,sK58)),vec),s(num,u_0))))),s(cart(real,sK59),i(s(fun(cart(real,sK59),cart(real,sK59)),i(s(fun(cart(real,sK59),fun(cart(real,sK59),cart(real,sK59))),vectoru_sub),s(cart(real,sK59),sK61))),s(cart(real,sK59),sK62))))))),
inference(forward_demodulation,[],[f10529,f6780]) ).
fof(f10544,plain,
$false,
inference(forward_subsumption_resolution,[],[f10542,f10141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO461+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n015.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 08:19:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.52/3.30 % (1341136)Detected formulas, will run a generic FOF schedule.
% 11.52/3.30 % (1341145)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3568535226:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 11.52/3.30 % (1341142)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=290519946:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 11.52/3.30 % (1341141)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1713205811:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 11.52/3.30 % (1341143)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1237095079:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 11.52/3.30 % (1341147)dis-21_1_sil=8000:lcm=predicate:random_seed=164586443:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 11.52/3.30 % (1341144)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1731946288:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 11.52/3.30 % (1341146)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3027320122:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 11.52/3.30 % (1341145)Instruction limit reached!
% 11.52/3.30 % (1341145)------------------------------
% 11.52/3.30 % (1341145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.52/3.30 % (1341145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.52/3.30 % (1341145)CaDiCaL version: 2.1.3
% 11.52/3.30 % (1341145)Termination reason: Instruction limit
% 11.52/3.30 % (1341145)Termination phase: Preprocessing 1
% 11.52/3.30 % (1341145)Time elapsed: 0.038 s
% 11.52/3.30 % (1341145)Peak memory usage: 90 MB
% 11.52/3.30 % (1341145)Instructions burned: 122 (million)
% 11.52/3.30 % (1341146)Instruction limit reached!
% 11.52/3.30 % (1341146)------------------------------
% 11.52/3.30 % (1341146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.52/3.30 % (1341146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.52/3.30 % (1341146)CaDiCaL version: 2.1.3
% 11.52/3.30 % (1341146)Termination reason: Instruction limit
% 11.52/3.30 % (1341146)Termination phase: Property scanning
% 11.52/3.30 % (1341146)Time elapsed: 0.048 s
% 11.52/3.30 % (1341146)Peak memory usage: 90 MB
% 11.52/3.30 % (1341146)Instructions burned: 139 (million)
% 11.52/3.30 % (1341144)Instruction limit reached!
% 11.52/3.30 % (1341144)------------------------------
% 11.52/3.30 % (1341144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.52/3.30 % (1341144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.52/3.30 % (1341144)CaDiCaL version: 2.1.3
% 11.52/3.30 % (1341144)Termination reason: Instruction limit
% 11.52/3.30 % (1341144)Termination phase: Property scanning
% 11.52/3.30 % (1341144)Time elapsed: 0.055 s
% 11.52/3.30 % (1341144)Peak memory usage: 91 MB
% 11.52/3.30 % (1341144)Instructions burned: 110 (million)
% 11.52/3.30 % (1341147)Instruction limit reached!
% 11.52/3.30 % (1341147)------------------------------
% 11.52/3.30 % (1341147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.52/3.30 % (1341147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.52/3.30 % (1341147)CaDiCaL version: 2.1.3
% 11.52/3.30 % (1341147)Termination reason: Instruction limit
% 11.52/3.30 % (1341147)Termination phase: SInE selection
% 11.52/3.30 % (1341147)Time elapsed: 0.063 s
% 11.52/3.30 % (1341147)Peak memory usage: 90 MB
% 11.52/3.30 % (1341147)Instructions burned: 131 (million)
% 11.52/3.30 % (1341155)lrs+10_1_sil=8000:sp=occurrence:random_seed=2338803283:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.52/3.30 % (1341157)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1770053858:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 11.52/3.30 % (1341156)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2235034595:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 11.52/3.30 % (1341158)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2870840313:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 11.52/3.30 % (1341155)Instruction limit reached!
% 17.94/4.26 % (1341155)------------------------------
% 17.94/4.26 % (1341155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.26 % (1341155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.26 % (1341155)CaDiCaL version: 2.1.3
% 17.94/4.26 % (1341155)Termination reason: Instruction limit
% 17.94/4.26 % (1341155)Termination phase: Property scanning
% 17.94/4.26 % (1341155)Time elapsed: 0.083 s
% 17.94/4.26 % (1341155)Peak memory usage: 96 MB
% 17.94/4.26 % (1341155)Instructions burned: 291 (million)
% 17.94/4.26 % (1341156)Instruction limit reached!
% 17.94/4.26 % (1341156)------------------------------
% 17.94/4.26 % (1341156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.26 % (1341156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.26 % (1341156)CaDiCaL version: 2.1.3
% 17.94/4.26 % (1341156)Termination reason: Instruction limit
% 17.94/4.26 % (1341156)Termination phase: Property scanning
% 17.94/4.26 % (1341156)Time elapsed: 0.055 s
% 17.94/4.26 % (1341156)Peak memory usage: 89 MB
% 17.94/4.26 % (1341156)Instructions burned: 160 (million)
% 17.94/4.26 % (1341158)Instruction limit reached!
% 17.94/4.26 % (1341158)------------------------------
% 17.94/4.26 % (1341158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.26 % (1341158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.26 % (1341158)CaDiCaL version: 2.1.3
% 17.94/4.26 % (1341158)Termination reason: Instruction limit
% 17.94/4.26 % (1341158)Termination phase: Property scanning
% 17.94/4.26 % (1341158)Time elapsed: 0.086 s
% 17.94/4.26 % (1341158)Peak memory usage: 90 MB
% 17.94/4.26 % (1341158)Instructions burned: 249 (million)
% 17.94/4.26 % (1341163)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4057098448:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 17.94/4.26 % (1341157)Instruction limit reached!
% 17.94/4.26 % (1341157)------------------------------
% 17.94/4.26 % (1341157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.26 % (1341157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.26 % (1341157)CaDiCaL version: 2.1.3
% 17.94/4.26 % (1341157)Termination reason: Instruction limit
% 17.94/4.26 % (1341157)Termination phase: Saturation
% 17.94/4.26 % (1341157)Time elapsed: 0.175 s
% 17.94/4.26 % (1341157)Peak memory usage: 96 MB
% 17.94/4.26 % (1341157)Instructions burned: 325 (million)
% 17.94/4.26 % (1341164)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=162610657:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 17.94/4.26 % (1341163)Instruction limit reached!
% 17.94/4.26 % (1341163)------------------------------
% 17.94/4.26 % (1341163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.26 % (1341163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.26 % (1341163)CaDiCaL version: 2.1.3
% 17.94/4.26 % (1341163)Termination reason: Instruction limit
% 17.94/4.26 % (1341163)Termination phase: Preprocessing 3
% 17.94/4.26 % (1341163)Time elapsed: 0.083 s
% 17.94/4.26 % (1341163)Peak memory usage: 95 MB
% 17.94/4.26 % (1341163)Instructions burned: 298 (million)
% 17.94/4.26 % (1341165)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=777373614:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 17.94/4.26 % (1341165)Instruction limit reached!
% 17.94/4.26 % (1341165)------------------------------
% 17.94/4.26 % (1341165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.26 % (1341165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.26 % (1341165)CaDiCaL version: 2.1.3
% 17.94/4.26 % (1341165)Termination reason: Instruction limit
% 17.94/4.26 % (1341165)Termination phase: Preprocessing 1
% 17.94/4.26 % (1341165)Time elapsed: 0.060 s
% 17.94/4.26 % (1341165)Peak memory usage: 90 MB
% 17.94/4.26 % (1341165)Instructions burned: 113 (million)
% 17.94/4.26 % (1341167)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1023018337:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 17.94/4.26 % (1341169)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3467556477:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 17.94/4.26 % (1341169)Instruction limit reached!
% 17.94/4.26 % (1341169)------------------------------
% 17.94/4.26 % (1341169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341169)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341169)Termination reason: Instruction limit
% 22.45/5.00 % (1341169)Termination phase: Property scanning
% 22.45/5.00 % (1341169)Time elapsed: 0.022 s
% 22.45/5.00 % (1341169)Peak memory usage: 90 MB
% 22.45/5.00 % (1341169)Instructions burned: 117 (million)
% 22.45/5.00 % (1341167)Instruction limit reached!
% 22.45/5.00 % (1341167)------------------------------
% 22.45/5.00 % (1341167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341167)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341167)Termination reason: Instruction limit
% 22.45/5.00 % (1341167)Termination phase: Naming
% 22.45/5.00 % (1341167)Time elapsed: 0.072 s
% 22.45/5.00 % (1341167)Peak memory usage: 93 MB
% 22.45/5.00 % (1341167)Instructions burned: 128 (million)
% 22.45/5.00 % (1341171)lrs+10_1_sil=8000:sp=occurrence:random_seed=226670737:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 22.45/5.00 % (1341174)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1748723280:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 22.45/5.00 % (1341175)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=108134918:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 22.45/5.00 % (1341174)Instruction limit reached!
% 22.45/5.00 % (1341174)------------------------------
% 22.45/5.00 % (1341174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341174)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341174)Termination reason: Instruction limit
% 22.45/5.00 % (1341174)Termination phase: Property scanning
% 22.45/5.00 % (1341174)Time elapsed: 0.114 s
% 22.45/5.00 % (1341174)Peak memory usage: 98 MB
% 22.45/5.00 % (1341174)Instructions burned: 443 (million)
% 22.45/5.00 % (1341179)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4208553465:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 22.45/5.00 % (1341179)Instruction limit reached!
% 22.45/5.00 % (1341179)------------------------------
% 22.45/5.00 % (1341179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341179)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341179)Termination reason: Instruction limit
% 22.45/5.00 % (1341179)Termination phase: Preprocessing 1
% 22.45/5.00 % (1341179)Time elapsed: 0.039 s
% 22.45/5.00 % (1341179)Peak memory usage: 91 MB
% 22.45/5.00 % (1341179)Instructions burned: 135 (million)
% 22.45/5.00 % (1341171)Instruction limit reached!
% 22.45/5.00 % (1341171)------------------------------
% 22.45/5.00 % (1341171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341171)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341171)Termination reason: Instruction limit
% 22.45/5.00 % (1341171)Termination phase: Saturation
% 22.45/5.00 % (1341171)Time elapsed: 0.377 s
% 22.45/5.00 % (1341171)Peak memory usage: 102 MB
% 22.45/5.00 % (1341171)Instructions burned: 908 (million)
% 22.45/5.00 % (1341181)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1158394522:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 22.45/5.00 % (1341182)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=713731460:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 22.45/5.00 % (1341181)Instruction limit reached!
% 22.45/5.00 % (1341181)------------------------------
% 22.45/5.00 % (1341181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341181)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341181)Termination reason: Instruction limit
% 22.45/5.00 % (1341181)Termination phase: Preprocessing 3
% 22.45/5.00 % (1341181)Time elapsed: 0.162 s
% 22.45/5.00 % (1341181)Peak memory usage: 102 MB
% 22.45/5.00 % (1341181)Instructions burned: 594 (million)
% 22.45/5.00 % (1341164)Instruction limit reached!
% 22.45/5.00 % (1341164)------------------------------
% 22.45/5.00 % (1341164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341164)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341164)Termination reason: Instruction limit
% 22.45/5.00 % (1341164)Termination phase: Twee Goal Transformation
% 22.45/5.00 % (1341164)Time elapsed: 0.877 s
% 22.45/5.00 % (1341164)Peak memory usage: 104 MB
% 22.45/5.00 % (1341164)Instructions burned: 2353 (million)
% 22.45/5.00 % (1341185)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3666526428:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 22.45/5.00 % (1341185)Instruction limit reached!
% 22.45/5.00 % (1341185)------------------------------
% 22.45/5.00 % (1341185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341185)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341185)Termination reason: Instruction limit
% 22.45/5.00 % (1341185)Termination phase: Property scanning
% 22.45/5.00 % (1341185)Time elapsed: 0.024 s
% 22.45/5.00 % (1341185)Peak memory usage: 90 MB
% 22.45/5.00 % (1341185)Instructions burned: 129 (million)
% 22.45/5.00 % (1341186)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1021263292:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 22.45/5.00 % (1341186)Instruction limit reached!
% 22.45/5.00 % (1341186)------------------------------
% 22.45/5.00 % (1341186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341186)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341186)Termination reason: Instruction limit
% 22.45/5.00 % (1341186)Termination phase: Property scanning
% 22.45/5.00 % (1341186)Time elapsed: 0.047 s
% 22.45/5.00 % (1341186)Peak memory usage: 90 MB
% 22.45/5.00 % (1341186)Instructions burned: 134 (million)
% 22.45/5.00 % (1341188)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1385532871:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 22.45/5.00 % (1341188)Refutation not found, incomplete strategy
% 22.45/5.00 % (1341188)------------------------------
% 22.45/5.00 % (1341188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341188)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341188)Termination reason: Refutation not found, incomplete strategy
% 22.45/5.00 % (1341188)Time elapsed: 0.037 s
% 22.45/5.00 % (1341188)Peak memory usage: 94 MB
% 22.45/5.00 % (1341188)Instructions burned: 138 (million)
% 22.45/5.00 % (1341190)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3372836771:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 22.45/5.00 % (1341188)------------------------------
% 22.45/5.00 % (1341188)------------------------------
% 22.45/5.00 % (1341190)Refutation not found, incomplete strategy
% 22.45/5.00 % (1341190)------------------------------
% 22.45/5.00 % (1341190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341190)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341190)Termination reason: Refutation not found, incomplete strategy
% 22.45/5.00 % (1341190)Time elapsed: 0.070 s
% 22.45/5.00 % (1341190)Peak memory usage: 94 MB
% 22.45/5.00 % (1341190)Instructions burned: 133 (million)
% 22.45/5.00 % (1341193)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=629164882:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 22.45/5.00 % (1341190)------------------------------
% 22.45/5.00 % (1341190)------------------------------
% 22.45/5.00 % (1341195)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2293981690:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 22.45/5.00 % (1341195)Instruction limit reached!
% 22.45/5.00 % (1341195)------------------------------
% 22.45/5.00 % (1341195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/5.00 % (1341195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/5.00 % (1341195)CaDiCaL version: 2.1.3
% 22.45/5.00 % (1341195)Termination reason: Instruction limit
% 22.45/5.00 % (1341195)Termination phase: Preprocessing 1
% 22.45/5.00 % (1341195)Time elapsed: 0.084 s
% 22.45/5.00 % (1341195)Peak memory usage: 91 MB
% 22.45/5.00 % (1341195)Instructions burned: 151 (million)
% 22.45/5.00 % (1341197)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3321792936:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 22.45/5.00 % (1341175)First to succeed.
% 22.45/5.00 % (1341175)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1341136"
% 22.45/5.00 % (1341175)Refutation found. Thanks to Tanya!
% 22.45/5.00 % SZS status Theorem for theBenchmark
% 22.45/5.00 % SZS output start Proof for theBenchmark
% See solution above
% 23.77/5.11 % (1341175)------------------------------
% 23.77/5.11 % (1341175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.77/5.11 % (1341175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.77/5.11 % (1341175)CaDiCaL version: 2.1.3
% 23.77/5.11 % (1341175)Termination reason: Refutation
% 23.77/5.11 % (1341175)Time elapsed: 1.892 s
% 23.77/5.11 % (1341175)Peak memory usage: 231 MB
% 23.77/5.11 % (1341175)Instructions burned: 3141 (million)
% 23.77/5.11 % (1341175)------------------------------
% 23.77/5.11 % (1341175)------------------------------
% 23.77/5.11 % (1341136)Success in time 4.154 s
% 23.77/5.11 % Vampire exiting
%------------------------------------------------------------------------------