%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO477+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:52:45 AM UTC 2026
% Result : Theorem 40.76s 8.27s
% Output : Refutation 46.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 20 unt; 3 def)
% Number of atoms : 83 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 30 ~; 27 |; 5 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 69 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f961,axiom,
! [X0,X1] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X0))),s(real,X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ADDu_SYM) ).
fof(f963,axiom,
! [X0] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))) = s(real,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ADDu_LID) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',adist) ).
fof(f2845,axiom,
! [X0] : s(real,i(s(fun(cart(real,X0),real),vectoru_norm),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(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_0) ).
fof(f3598,axiom,
! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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),X3))))))
<=> 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),X3))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),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(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),X2))),s(cart(real,X0),X3))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abetween) ).
fof(f3599,conjecture,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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))))))
& p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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))))))
& p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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),X1)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aBETWEENu_REFL) ).
fof(f3600,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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))))))
& p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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))))))
& p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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),X1)))))) ),
inference(negated_conjecture,[status(cth)],[f3599]) ).
fof(f4021,plain,
? [X0,X1,X2] :
( ~ p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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),X1)))))) ),
inference(ennf_transformation,[],[f3600]) ).
fof(f5588,plain,
( ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK106))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK105)))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104,sK105,sK106]),skolemize(X0,sK104),skolemize(X1,sK105),skolemize(X2,sK106)],[f4021]) ).
fof(f5888,plain,
! [X0,X1,X2,X3] :
( ( p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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),X3))))))
| 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),X3))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),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(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),X2))),s(cart(real,X0),X3))))))) )
& ( 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),X3))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),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(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),X2))),s(cart(real,X0),X3)))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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),X3)))))) ) ),
inference(nnf_transformation,[],[f3598]) ).
fof(f7808,plain,
( ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK106))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106))))))
| ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK105)))))) ),
inference(cnf_transformation,[],[f5588]) ).
fof(f8190,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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),X3))))))
| 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),X3))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),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(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),X2))),s(cart(real,X0),X3))))))) ),
inference(cnf_transformation,[],[f5888]) ).
fof(f9245,plain,
! [X0] : s(real,X0) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X0))),
inference(cnf_transformation,[],[f963]) ).
fof(f9247,plain,
! [X0,X1] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X0))),s(real,X1))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,X0))),
inference(cnf_transformation,[],[f961]) ).
fof(f9296,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(f10981,plain,
! [X0] : s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),
inference(cnf_transformation,[],[f2845]) ).
fof(f10997,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(f13129,plain,
! [X2,X3,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),X3))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),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),X2))),s(cart(real,X0),X3)))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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),X3)))))) ),
inference(forward_demodulation,[],[f8190,f9296]) ).
fof(f13234,definition,
( spl2320_93
<=> p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK105)))))) ),
introduced(definition,[new_symbols(definition,[spl2320_93])],[avatar_definition]) ).
fof(f13236,plain,
( ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK105))))))
| spl2320_93 ),
inference(avatar_component_clause,[],[f13234]) ).
fof(f13238,definition,
( spl2320_94
<=> p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK106))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106)))))) ),
introduced(definition,[new_symbols(definition,[spl2320_94])],[avatar_definition]) ).
fof(f13240,plain,
( ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK106))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106))))))
| spl2320_94 ),
inference(avatar_component_clause,[],[f13238]) ).
fof(f13242,definition,
( spl2320_95
<=> p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106)))))) ),
introduced(definition,[new_symbols(definition,[spl2320_95])],[avatar_definition]) ).
fof(f13244,plain,
( ~ p(s(bool,i(s(fun(prod(cart(real,sK104),cart(real,sK104)),bool),i(s(fun(cart(real,sK104),fun(prod(cart(real,sK104),cart(real,sK104)),bool)),between),s(cart(real,sK104),sK105))),s(prod(cart(real,sK104),cart(real,sK104)),i(s(fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104))),i(s(fun(cart(real,sK104),fun(cart(real,sK104),prod(cart(real,sK104),cart(real,sK104)))),c_),s(cart(real,sK104),sK105))),s(cart(real,sK104),sK106))))))
| spl2320_95 ),
inference(avatar_component_clause,[],[f13242]) ).
fof(f13245,plain,
( ~ spl2320_93
| ~ spl2320_94
| ~ spl2320_95 ),
inference(avatar_split_clause,[],[f7808,f13242,f13238,f13234]) ).
fof(f13695,plain,
! [X2,X3,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),X3))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X1))),s(cart(real,X0),X2))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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),X3)))))) ),
inference(forward_demodulation,[],[f13129,f9296]) ).
fof(f13902,plain,
! [X2,X3,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),X3))))) != s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X1))),s(cart(real,X0),X2))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X2))),s(cart(real,X0),X3)))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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),X3)))))) ),
inference(forward_demodulation,[],[f13695,f9296]) ).
fof(f14136,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(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_sub),s(cart(real,X0),X1))),s(cart(real,X0),X2))))))),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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(superposition,[],[f13902,f10997]) ).
fof(f14137,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(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),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(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)))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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(superposition,[],[f13902,f10997]) ).
fof(f14144,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(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),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)))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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(forward_demodulation,[],[f14137,f10981]) ).
fof(f14145,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(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),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(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)))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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(forward_demodulation,[],[f14136,f9247]) ).
fof(f14146,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X1))),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(forward_subsumption_resolution,[],[f14144,f9245]) ).
fof(f14147,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(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),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)))))))
| p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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(forward_demodulation,[],[f14145,f10981]) ).
fof(f14148,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(prod(cart(real,X0),cart(real,X0)),bool),i(s(fun(cart(real,X0),fun(prod(cart(real,X0),cart(real,X0)),bool)),between),s(cart(real,X0),X2))),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(forward_subsumption_resolution,[],[f14147,f9245]) ).
fof(f14149,plain,
( $false
| spl2320_93 ),
inference(resolution,[],[f14148,f13236]) ).
fof(f14154,plain,
spl2320_93,
inference(avatar_contradiction_clause,[],[f14149]) ).
fof(f14155,plain,
( $false
| spl2320_94 ),
inference(forward_subsumption_resolution,[],[f13240,f14148]) ).
fof(f14156,plain,
spl2320_94,
inference(avatar_contradiction_clause,[],[f14155]) ).
fof(f14157,plain,
( $false
| spl2320_95 ),
inference(forward_subsumption_resolution,[],[f13244,f14146]) ).
fof(f14158,plain,
spl2320_95,
inference(avatar_contradiction_clause,[],[f14157]) ).
cnf(s77,plain,
( ~ spl2320_93
| ~ spl2320_94
| ~ spl2320_95 ),
inference(sat_conversion,[],[f13245]) ).
cnf(s84,plain,
spl2320_93,
inference(sat_conversion,[],[f14154]) ).
cnf(s85,plain,
spl2320_94,
inference(sat_conversion,[],[f14156]) ).
cnf(s86,plain,
spl2320_95,
inference(sat_conversion,[],[f14158]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s77,s86,s85,s84]) ).
fof(f14159,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO477+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:19:02 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.38/3.68 % (3674766)Detected formulas, will run a generic FOF schedule.
% 12.38/3.68 % (3674772)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=3324476481:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 12.38/3.68 % (3674776)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3689299059:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 12.38/3.68 % (3674775)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2226069162:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 12.38/3.68 % (3674777)dis-21_1_sil=8000:lcm=predicate:random_seed=2882829609:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 12.38/3.68 % (3674774)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2417241766:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 12.38/3.68 % (3674773)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=140140109:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 12.38/3.68 % (3674771)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=525056671:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 12.38/3.68 % (3674776)Instruction limit reached!
% 12.38/3.68 % (3674776)------------------------------
% 12.38/3.68 % (3674776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/3.68 % (3674776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/3.68 % (3674776)CaDiCaL version: 2.1.3
% 12.38/3.68 % (3674776)Termination reason: Instruction limit
% 12.38/3.68 % (3674776)Termination phase: Property scanning
% 12.38/3.68 % (3674776)Time elapsed: 0.048 s
% 12.38/3.68 % (3674776)Peak memory usage: 90 MB
% 12.38/3.68 % (3674776)Instructions burned: 140 (million)
% 12.38/3.68 % (3674774)Instruction limit reached!
% 12.38/3.68 % (3674774)------------------------------
% 12.38/3.68 % (3674774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/3.68 % (3674774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/3.68 % (3674774)CaDiCaL version: 2.1.3
% 12.38/3.68 % (3674774)Termination reason: Instruction limit
% 12.38/3.68 % (3674774)Termination phase: Property scanning
% 12.38/3.68 % (3674774)Time elapsed: 0.055 s
% 12.38/3.68 % (3674774)Peak memory usage: 92 MB
% 12.38/3.68 % (3674774)Instructions burned: 109 (million)
% 12.38/3.68 % (3674777)Instruction limit reached!
% 12.38/3.68 % (3674777)------------------------------
% 12.38/3.68 % (3674777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/3.68 % (3674777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/3.68 % (3674777)CaDiCaL version: 2.1.3
% 12.38/3.68 % (3674777)Termination reason: Instruction limit
% 12.38/3.68 % (3674777)Termination phase: SInE selection
% 12.38/3.68 % (3674777)Time elapsed: 0.061 s
% 12.38/3.68 % (3674777)Peak memory usage: 90 MB
% 12.38/3.68 % (3674777)Instructions burned: 130 (million)
% 12.38/3.68 % (3674775)Instruction limit reached!
% 12.38/3.68 % (3674775)------------------------------
% 12.38/3.68 % (3674775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/3.68 % (3674775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/3.68 % (3674775)CaDiCaL version: 2.1.3
% 12.38/3.68 % (3674775)Termination reason: Instruction limit
% 12.38/3.68 % (3674775)Termination phase: Preprocessing 1
% 12.38/3.68 % (3674775)Time elapsed: 0.063 s
% 12.38/3.68 % (3674775)Peak memory usage: 91 MB
% 12.38/3.68 % (3674775)Instructions burned: 121 (million)
% 12.38/3.68 % (3674785)lrs+10_1_sil=8000:sp=occurrence:random_seed=524179702:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.38/3.68 % (3674786)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2814943378:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 12.38/3.68 % (3674788)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=3080762845:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 12.38/3.68 % (3674787)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3840606751:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.38/3.68 % (3674786)Instruction limit reached!
% 19.18/4.57 % (3674786)------------------------------
% 19.18/4.57 % (3674786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/4.57 % (3674786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/4.57 % (3674786)CaDiCaL version: 2.1.3
% 19.18/4.57 % (3674786)Termination reason: Instruction limit
% 19.18/4.57 % (3674786)Termination phase: Property scanning
% 19.18/4.57 % (3674786)Time elapsed: 0.070 s
% 19.18/4.57 % (3674786)Peak memory usage: 90 MB
% 19.18/4.57 % (3674786)Instructions burned: 158 (million)
% 19.18/4.57 % (3674788)Instruction limit reached!
% 19.18/4.57 % (3674788)------------------------------
% 19.18/4.57 % (3674788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/4.57 % (3674788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/4.57 % (3674788)CaDiCaL version: 2.1.3
% 19.18/4.57 % (3674788)Termination reason: Instruction limit
% 19.18/4.57 % (3674788)Termination phase: Property scanning
% 19.18/4.57 % (3674788)Time elapsed: 0.087 s
% 19.18/4.57 % (3674788)Peak memory usage: 90 MB
% 19.18/4.57 % (3674788)Instructions burned: 249 (million)
% 19.18/4.57 % (3674785)Instruction limit reached!
% 19.18/4.57 % (3674785)------------------------------
% 19.18/4.57 % (3674785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/4.57 % (3674785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/4.57 % (3674785)CaDiCaL version: 2.1.3
% 19.18/4.57 % (3674785)Termination reason: Instruction limit
% 19.18/4.57 % (3674785)Termination phase: Saturation
% 19.18/4.57 % (3674785)Time elapsed: 0.134 s
% 19.18/4.57 % (3674785)Peak memory usage: 95 MB
% 19.18/4.57 % (3674785)Instructions burned: 285 (million)
% 19.18/4.57 % (3674787)Instruction limit reached!
% 19.18/4.57 % (3674787)------------------------------
% 19.18/4.57 % (3674787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/4.57 % (3674787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/4.57 % (3674787)CaDiCaL version: 2.1.3
% 19.18/4.57 % (3674787)Termination reason: Instruction limit
% 19.18/4.57 % (3674787)Termination phase: Saturation
% 19.18/4.57 % (3674787)Time elapsed: 0.178 s
% 19.18/4.57 % (3674787)Peak memory usage: 97 MB
% 19.18/4.57 % (3674787)Instructions burned: 325 (million)
% 19.18/4.57 % (3674793)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1045104106:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 19.18/4.57 % (3674794)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3954455393:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 19.18/4.57 % (3674795)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3786203960:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 19.18/4.57 % (3674795)Instruction limit reached!
% 19.18/4.57 % (3674795)------------------------------
% 19.18/4.57 % (3674795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/4.57 % (3674795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/4.57 % (3674795)CaDiCaL version: 2.1.3
% 19.18/4.57 % (3674795)Termination reason: Instruction limit
% 19.18/4.57 % (3674795)Termination phase: Preprocessing 1
% 19.18/4.57 % (3674795)Time elapsed: 0.060 s
% 19.18/4.57 % (3674795)Peak memory usage: 91 MB
% 19.18/4.57 % (3674795)Instructions burned: 113 (million)
% 19.18/4.57 % (3674796)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1941130635:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 19.18/4.57 % (3674793)Instruction limit reached!
% 19.18/4.57 % (3674793)------------------------------
% 19.18/4.57 % (3674793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/4.57 % (3674793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/4.57 % (3674793)CaDiCaL version: 2.1.3
% 19.18/4.57 % (3674793)Termination reason: Instruction limit
% 19.18/4.57 % (3674793)Termination phase: Property scanning
% 19.18/4.57 % (3674793)Time elapsed: 0.144 s
% 19.18/4.57 % (3674793)Peak memory usage: 95 MB
% 19.18/4.57 % (3674793)Instructions burned: 295 (million)
% 19.18/4.57 % (3674796)Instruction limit reached!
% 19.18/4.57 % (3674796)------------------------------
% 19.18/4.57 % (3674796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.18/4.57 % (3674796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.18/4.57 % (3674796)CaDiCaL version: 2.1.3
% 19.18/4.57 % (3674796)Termination reason: Instruction limit
% 40.76/8.27 % (3674796)Termination phase: Naming
% 40.76/8.27 % (3674796)Time elapsed: 0.072 s
% 40.76/8.27 % (3674796)Peak memory usage: 94 MB
% 40.76/8.27 % (3674796)Instructions burned: 129 (million)
% 40.76/8.27 % (3674800)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2214677571:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 40.76/8.27 % (3674802)lrs+10_1_sil=8000:sp=occurrence:random_seed=4014225398:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 40.76/8.27 % (3674800)Instruction limit reached!
% 40.76/8.27 % (3674800)------------------------------
% 40.76/8.27 % (3674800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674800)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674800)Termination reason: Instruction limit
% 40.76/8.27 % (3674800)Termination phase: Property scanning
% 40.76/8.27 % (3674800)Time elapsed: 0.041 s
% 40.76/8.27 % (3674800)Peak memory usage: 90 MB
% 40.76/8.27 % (3674800)Instructions burned: 117 (million)
% 40.76/8.27 % (3674803)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1808086049:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 40.76/8.27 % (3674806)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=473937250:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 40.76/8.27 % (3674803)Instruction limit reached!
% 40.76/8.27 % (3674803)------------------------------
% 40.76/8.27 % (3674803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674803)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674803)Termination reason: Instruction limit
% 40.76/8.27 % (3674803)Termination phase: Preprocessing 3
% 40.76/8.27 % (3674803)Time elapsed: 0.214 s
% 40.76/8.27 % (3674803)Peak memory usage: 100 MB
% 40.76/8.27 % (3674803)Instructions burned: 439 (million)
% 40.76/8.27 % (3674802)Instruction limit reached!
% 40.76/8.27 % (3674802)------------------------------
% 40.76/8.27 % (3674802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674802)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674802)Termination reason: Instruction limit
% 40.76/8.27 % (3674802)Termination phase: Property scanning
% 40.76/8.27 % (3674802)Time elapsed: 0.376 s
% 40.76/8.27 % (3674802)Peak memory usage: 100 MB
% 40.76/8.27 % (3674802)Instructions burned: 909 (million)
% 40.76/8.27 % (3674809)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3208694219:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 40.76/8.27 % (3674809)Instruction limit reached!
% 40.76/8.27 % (3674809)------------------------------
% 40.76/8.27 % (3674809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674809)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674809)Termination reason: Instruction limit
% 40.76/8.27 % (3674809)Termination phase: Preprocessing 1
% 40.76/8.27 % (3674809)Time elapsed: 0.072 s
% 40.76/8.27 % (3674809)Peak memory usage: 91 MB
% 40.76/8.27 % (3674809)Instructions burned: 135 (million)
% 40.76/8.27 % (3674810)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3529095705:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 40.76/8.27 % (3674794)Instruction limit reached!
% 40.76/8.27 % (3674794)------------------------------
% 40.76/8.27 % (3674794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674794)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674794)Termination reason: Instruction limit
% 40.76/8.27 % (3674794)Termination phase: Twee Goal Transformation
% 40.76/8.27 % (3674794)Time elapsed: 0.887 s
% 40.76/8.27 % (3674794)Peak memory usage: 106 MB
% 40.76/8.27 % (3674794)Instructions burned: 2350 (million)
% 40.76/8.27 % (3674812)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1279617066:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 40.76/8.27 % (3674814)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=2492525099:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 40.76/8.27 % (3674810)Instruction limit reached!
% 40.76/8.27 % (3674810)------------------------------
% 40.76/8.27 % (3674810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674810)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674810)Termination reason: Instruction limit
% 40.76/8.27 % (3674810)Termination phase: Preprocessing 3
% 40.76/8.27 % (3674810)Time elapsed: 0.300 s
% 40.76/8.27 % (3674810)Peak memory usage: 101 MB
% 40.76/8.27 % (3674810)Instructions burned: 593 (million)
% 40.76/8.27 % (3674814)Instruction limit reached!
% 40.76/8.27 % (3674814)------------------------------
% 40.76/8.27 % (3674814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674814)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674814)Termination reason: Instruction limit
% 40.76/8.27 % (3674814)Termination phase: Property scanning
% 40.76/8.27 % (3674814)Time elapsed: 0.045 s
% 40.76/8.27 % (3674814)Peak memory usage: 90 MB
% 40.76/8.27 % (3674814)Instructions burned: 127 (million)
% 40.76/8.27 % (3674817)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=438610280:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 40.76/8.27 % (3674818)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1810401631:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 40.76/8.27 % (3674817)Instruction limit reached!
% 40.76/8.27 % (3674817)------------------------------
% 40.76/8.27 % (3674817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674817)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674817)Termination reason: Instruction limit
% 40.76/8.27 % (3674817)Termination phase: Property scanning
% 40.76/8.27 % (3674817)Time elapsed: 0.047 s
% 40.76/8.27 % (3674817)Peak memory usage: 90 MB
% 40.76/8.27 % (3674817)Instructions burned: 135 (million)
% 40.76/8.27 % (3674818)Instruction limit reached!
% 40.76/8.27 % (3674818)------------------------------
% 40.76/8.27 % (3674818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674818)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674818)Termination reason: Instruction limit
% 40.76/8.27 % (3674818)Termination phase: Saturation
% 40.76/8.27 % (3674818)Time elapsed: 0.072 s
% 40.76/8.27 % (3674818)Peak memory usage: 94 MB
% 40.76/8.27 % (3674818)Instructions burned: 142 (million)
% 40.76/8.27 % (3674821)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1182697185:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 40.76/8.27 % (3674822)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=1159721296:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 40.76/8.27 % (3674821)Instruction limit reached!
% 40.76/8.27 % (3674821)------------------------------
% 40.76/8.27 % (3674821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674821)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674821)Termination reason: Instruction limit
% 40.76/8.27 % (3674821)Termination phase: Saturation
% 40.76/8.27 % (3674821)Time elapsed: 0.211 s
% 40.76/8.27 % (3674821)Peak memory usage: 96 MB
% 40.76/8.27 % (3674821)Instructions burned: 432 (million)
% 40.76/8.27 % (3674825)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=2251713271:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2965 on theBenchmark for (2965ds/150Mi)
% 40.76/8.27 % (3674825)Instruction limit reached!
% 40.76/8.27 % (3674825)------------------------------
% 40.76/8.27 % (3674825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674825)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674825)Termination reason: Instruction limit
% 40.76/8.27 % (3674825)Termination phase: Preprocessing 1
% 40.76/8.27 % (3674825)Time elapsed: 0.086 s
% 40.76/8.27 % (3674825)Peak memory usage: 91 MB
% 40.76/8.27 % (3674825)Instructions burned: 150 (million)
% 40.76/8.27 % (3674828)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3277973919:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 40.76/8.27 % (3674806)Instruction limit reached!
% 40.76/8.27 % (3674806)------------------------------
% 40.76/8.27 % (3674806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674806)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674806)Termination reason: Instruction limit
% 40.76/8.27 % (3674806)Termination phase: Saturation
% 40.76/8.27 % (3674806)Time elapsed: 2.882 s
% 40.76/8.27 % (3674806)Peak memory usage: 199 MB
% 40.76/8.27 % (3674806)Instructions burned: 5202 (million)
% 40.76/8.27 % (3674830)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4072953522:i=667:av=off:fsr=off_2949 on theBenchmark for (2949ds/667Mi)
% 40.76/8.27 % (3674830)Instruction limit reached!
% 40.76/8.27 % (3674830)------------------------------
% 40.76/8.27 % (3674830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674830)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674830)Termination reason: Instruction limit
% 40.76/8.27 % (3674830)Termination phase: Property scanning
% 40.76/8.27 % (3674830)Time elapsed: 0.334 s
% 40.76/8.27 % (3674830)Peak memory usage: 103 MB
% 40.76/8.27 % (3674830)Instructions burned: 667 (million)
% 40.76/8.27 % (3674832)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=272004750:s2a=on:i=185:s2at=1.8:fdi=4_2943 on theBenchmark for (2943ds/185Mi)
% 40.76/8.27 % (3674832)Instruction limit reached!
% 40.76/8.27 % (3674832)------------------------------
% 40.76/8.27 % (3674832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674832)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674832)Termination reason: Instruction limit
% 40.76/8.27 % (3674832)Termination phase: Preprocessing 1
% 40.76/8.27 % (3674832)Time elapsed: 0.097 s
% 40.76/8.27 % (3674832)Peak memory usage: 91 MB
% 40.76/8.27 % (3674832)Instructions burned: 187 (million)
% 40.76/8.27 % (3674834)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3694492058:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2941 on theBenchmark for (2941ds/193Mi)
% 40.76/8.27 % (3674834)Instruction limit reached!
% 40.76/8.27 % (3674834)------------------------------
% 40.76/8.27 % (3674834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674834)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674834)Termination reason: Instruction limit
% 40.76/8.27 % (3674834)Termination phase: SInE selection
% 40.76/8.27 % (3674834)Time elapsed: 0.100 s
% 40.76/8.27 % (3674834)Peak memory usage: 90 MB
% 40.76/8.27 % (3674834)Instructions burned: 194 (million)
% 40.76/8.27 % (3674836)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4273407803:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2938 on theBenchmark for (2938ds/4850Mi)
% 40.76/8.27 % (3674822)Instruction limit reached!
% 40.76/8.27 % (3674822)------------------------------
% 40.76/8.27 % (3674822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.76/8.27 % (3674822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.76/8.27 % (3674822)CaDiCaL version: 2.1.3
% 40.76/8.27 % (3674822)Termination reason: Instruction limit
% 40.76/8.27 % (3674822)Termination phase: Saturation
% 40.76/8.27 % (3674822)Time elapsed: 3.601 s
% 40.76/8.27 % (3674822)Peak memory usage: 397 MB
% 40.76/8.27 % (3674822)Instructions burned: 6061 (million)
% 40.76/8.27 % (3674812)First to succeed.
% 40.76/8.27 % (3674812)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3674766"
% 40.76/8.27 % (3674838)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=245102393:i=12111:sd=1:ss=included_2930 on theBenchmark for (2930ds/12111Mi)
% 40.76/8.27 % (3674812)Refutation found. Thanks to Tanya!
% 40.76/8.27 % SZS status Theorem for theBenchmark
% 40.76/8.27 % SZS output start Proof for theBenchmark
% See solution above
% 46.12/8.46 % (3674812)------------------------------
% 46.12/8.46 % (3674812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.12/8.46 % (3674812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.12/8.46 % (3674812)CaDiCaL version: 2.1.3
% 46.12/8.46 % (3674812)Termination reason: Refutation
% 46.12/8.46 % (3674812)Time elapsed: 4.357 s
% 46.12/8.46 % (3674812)Peak memory usage: 289 MB
% 46.12/8.46 % (3674812)Instructions burned: 7622 (million)
% 46.12/8.46 % (3674812)------------------------------
% 46.12/8.46 % (3674812)------------------------------
% 46.12/8.46 % (3674766)Success in time 7.409 s
% 46.12/8.46 % Vampire exiting
%------------------------------------------------------------------------------