%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO448+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 : n008.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 09:52:41 AM UTC 2026
% Result : Theorem 102.35s 31.58s
% Output : Refutation 217.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 58 ~; 45 |; 14 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 22 ( 22 usr; 14 con; 0-3 aty)
% Number of variables : 101 ( 89 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f982,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
<=> ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arealu_lt) ).
fof(f1023,axiom,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LTu_TRANS) ).
fof(f1185,axiom,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2)))) )
=> p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X2))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_RMUL) ).
fof(f1301,axiom,
! [X0] :
? [X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_ARCHu_LT) ).
fof(f2681,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
<=> ? [X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_LEu_BETWEEN) ).
fof(f2846,axiom,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),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),X1)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_POSu_LE) ).
fof(f3056,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ? [X3] :
! [X4] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X4)))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLINEARu_BOUNDED) ).
fof(f3057,conjecture,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ? [X3] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X3))))
& ! [X4] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X4)))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLINEARu_BOUNDEDu_POS) ).
fof(f3058,negated_conjecture,
~ ! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ? [X3] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X3))))
& ! [X4] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X4)))))))) ) ),
inference(negated_conjecture,[status(cth)],[f3057]) ).
fof(f3124,plain,
? [X0,X1,X2] :
( ! [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X3))))
| ? [X4] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X4)))))))) )
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(ennf_transformation,[],[f3058]) ).
fof(f3193,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X2))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2)))) ),
inference(ennf_transformation,[],[f1185]) ).
fof(f3194,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X2))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2)))) ),
inference(flattening,[],[f3193]) ).
fof(f3220,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
inference(ennf_transformation,[],[f1023]) ).
fof(f3221,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
inference(flattening,[],[f3220]) ).
fof(f3238,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X4))))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(ennf_transformation,[],[f3056]) ).
fof(f3285,plain,
( ! [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X3))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK11),real),vectoru_norm),s(cart(real,sK11),i(s(fun(cart(real,sK12),cart(real,sK11)),sK13),s(cart(real,sK12),sK14(X3)))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,i(s(fun(cart(real,sK12),real),vectoru_norm),s(cart(real,sK12),sK14(X3))))))))) )
& p(s(bool,i(s(fun(fun(cart(real,sK12),cart(real,sK11)),bool),linear),s(fun(cart(real,sK12),cart(real,sK11)),sK13)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X4,sK14(X3))],[f3124]) ).
fof(f3545,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ! [X2] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ) )
& ( ? [X2] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) )
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ) ),
inference(nnf_transformation,[],[f2681]) ).
fof(f3546,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ! [X2] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ) )
& ( ? [X3] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X3))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X3))),s(real,X1)))) )
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ) ),
inference(rectify,[],[f3545]) ).
fof(f3547,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ! [X2] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ) )
& ( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,sK161(X0,X1)))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK161(X0,X1)))),s(real,X1)))) )
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK161]),skolemize(X3,sK161(X0,X1))],[f3546]) ).
fof(f3563,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,sK176(X0))))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK176]),skolemize(X1,sK176(X0))],[f1301]) ).
fof(f3574,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) )
& ( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0)))) ) ),
inference(nnf_transformation,[],[f982]) ).
fof(f3587,plain,
! [X0,X1,X2] :
( ! [X4] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK189(X0,X1,X2)))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X4))))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK189]),skolemize(X3,sK189(X0,X1,X2))],[f3238]) ).
fof(f3611,plain,
p(s(bool,i(s(fun(fun(cart(real,sK12),cart(real,sK11)),bool),linear),s(fun(cart(real,sK12),cart(real,sK11)),sK13)))),
inference(cnf_transformation,[],[f3285]) ).
fof(f3612,plain,
! [X3] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK11),real),vectoru_norm),s(cart(real,sK11),i(s(fun(cart(real,sK12),cart(real,sK11)),sK13),s(cart(real,sK12),sK14(X3)))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X3))),s(real,i(s(fun(cart(real,sK12),real),vectoru_norm),s(cart(real,sK12),sK14(X3)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X3)))) ),
inference(cnf_transformation,[],[f3285]) ).
fof(f3972,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,X2))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X2)))) ),
inference(cnf_transformation,[],[f3194]) ).
fof(f3989,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X2))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3547]) ).
fof(f4026,plain,
! [X0] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,sK176(X0))))))),
inference(cnf_transformation,[],[f3563]) ).
fof(f4054,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X2))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X2)))) ),
inference(cnf_transformation,[],[f3221]) ).
fof(f4061,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X1))),s(real,X0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1)))) ),
inference(cnf_transformation,[],[f3574]) ).
fof(f4080,plain,
! [X0,X1] : p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),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),X1)))))),
inference(cnf_transformation,[],[f2846]) ).
fof(f4082,plain,
! [X2,X0,X1,X4] :
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,sK189(X0,X1,X2)))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X4))))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(cnf_transformation,[],[f3587]) ).
fof(f4276,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK189(sK11,sK12,sK13)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK12),cart(real,sK11)),bool),linear),s(fun(cart(real,sK12),cart(real,sK11)),sK13)))) ),
inference(resolution,[],[f3612,f4082]) ).
fof(f4282,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,i(s(fun(cart(real,sK12),real),vectoru_norm),s(cart(real,sK12),sK14(X0)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK11),real),vectoru_norm),s(cart(real,sK11),i(s(fun(cart(real,sK12),cart(real,sK11)),sK13),s(cart(real,sK12),sK14(X0)))))))),s(real,X1))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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(resolution,[],[f3612,f3989]) ).
fof(f4283,plain,
~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,sK189(sK11,sK12,sK13))))),
inference(forward_subsumption_resolution,[],[f4276,f3611]) ).
fof(f4287,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,X0))),s(real,sK189(sK11,sK12,sK13)))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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(resolution,[],[f4283,f4054]) ).
fof(f4313,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK189(sK11,sK12,sK13)))),s(real,X0)))) ),
inference(resolution,[],[f4287,f4061]) ).
fof(f4358,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK11),real),vectoru_norm),s(cart(real,sK11),i(s(fun(cart(real,sK12),cart(real,sK11)),sK13),s(cart(real,sK12),sK14(X0)))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,i(s(fun(cart(real,sK12),real),vectoru_norm),s(cart(real,sK12),sK14(X0)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),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,sK12),real),vectoru_norm),s(cart(real,sK12),sK14(X0))))))) ),
inference(resolution,[],[f4282,f3972]) ).
fof(f4372,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK11),real),vectoru_norm),s(cart(real,sK11),i(s(fun(cart(real,sK12),cart(real,sK11)),sK13),s(cart(real,sK12),sK14(X0)))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,i(s(fun(cart(real,sK12),real),vectoru_norm),s(cart(real,sK12),sK14(X0)))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) ),
inference(forward_subsumption_resolution,[],[f4358,f4080]) ).
fof(f4382,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,sK189(sK11,sK12,sK13)))),s(real,X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK12),cart(real,sK11)),bool),linear),s(fun(cart(real,sK12),cart(real,sK11)),sK13)))) ),
inference(resolution,[],[f4372,f4082]) ).
fof(f4389,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK12),cart(real,sK11)),bool),linear),s(fun(cart(real,sK12),cart(real,sK11)),sK13)))) ),
inference(forward_subsumption_resolution,[],[f4382,f4313]) ).
fof(f4390,plain,
! [X0] : ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),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(forward_subsumption_resolution,[],[f4389,f3611]) ).
fof(f4414,plain,
$false,
inference(resolution,[],[f4390,f4026]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO448+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:15:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 9.65/2.36 % (917655)Detected formulas, will run a generic FOF schedule.
% 9.65/2.36 % (917661)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=2692747799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 9.65/2.36 % (917664)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3046300233:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 9.65/2.36 % (917662)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=3743698335:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 9.65/2.36 % (917663)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3880058235:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 9.65/2.36 % (917660)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=3580448331:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 9.65/2.36 % (917665)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1674036339:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 9.65/2.36 % (917666)dis-21_1_sil=8000:lcm=predicate:random_seed=2423110043:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 9.65/2.36 % (917665)Instruction limit reached!
% 9.65/2.36 % (917665)------------------------------
% 9.65/2.36 % (917665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.36 % (917665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.36 % (917665)CaDiCaL version: 2.1.3
% 9.65/2.36 % (917665)Termination reason: Instruction limit
% 9.65/2.36 % (917665)Termination phase: Property scanning
% 9.65/2.36 % (917665)Time elapsed: 0.026 s
% 9.65/2.36 % (917665)Peak memory usage: 90 MB
% 9.65/2.36 % (917665)Instructions burned: 145 (million)
% 9.65/2.36 % (917663)Instruction limit reached!
% 9.65/2.36 % (917663)------------------------------
% 9.65/2.36 % (917663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.36 % (917663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.36 % (917663)CaDiCaL version: 2.1.3
% 9.65/2.36 % (917663)Termination reason: Instruction limit
% 9.65/2.36 % (917663)Termination phase: Property scanning
% 9.65/2.36 % (917663)Time elapsed: 0.054 s
% 9.65/2.36 % (917663)Peak memory usage: 92 MB
% 9.65/2.36 % (917663)Instructions burned: 109 (million)
% 9.65/2.36 % (917664)Instruction limit reached!
% 9.65/2.36 % (917664)------------------------------
% 9.65/2.36 % (917664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.36 % (917664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.36 % (917664)CaDiCaL version: 2.1.3
% 9.65/2.36 % (917664)Termination reason: Instruction limit
% 9.65/2.36 % (917664)Termination phase: Unused predicate definition removal
% 9.65/2.36 % (917664)Time elapsed: 0.063 s
% 9.65/2.36 % (917664)Peak memory usage: 90 MB
% 9.65/2.36 % (917664)Instructions burned: 119 (million)
% 9.65/2.36 % (917666)Instruction limit reached!
% 9.65/2.36 % (917666)------------------------------
% 9.65/2.36 % (917666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.36 % (917666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.36 % (917666)CaDiCaL version: 2.1.3
% 9.65/2.36 % (917666)Termination reason: Instruction limit
% 9.65/2.36 % (917666)Termination phase: Preprocessing 1
% 9.65/2.36 % (917666)Time elapsed: 0.062 s
% 9.65/2.36 % (917666)Peak memory usage: 90 MB
% 9.65/2.36 % (917666)Instructions burned: 129 (million)
% 9.65/2.36 % (917674)lrs+10_1_sil=8000:sp=occurrence:random_seed=3147804031:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 9.65/2.36 % (917675)lrs+10_1_sil=32000:urr=on:br=off:random_seed=922575686:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 9.65/2.36 % (917674)Instruction limit reached!
% 9.65/2.36 % (917674)------------------------------
% 9.65/2.36 % (917674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.65/2.36 % (917674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/2.36 % (917674)CaDiCaL version: 2.1.3
% 9.65/2.36 % (917674)Termination reason: Instruction limit
% 9.65/2.36 % (917674)Termination phase: Property scanning
% 16.19/3.29 % (917674)Time elapsed: 0.079 s
% 16.19/3.29 % (917674)Peak memory usage: 95 MB
% 16.19/3.29 % (917674)Instructions burned: 288 (million)
% 16.19/3.29 % (917676)lrs+1011_1_sil=32000:sp=occurrence:random_seed=462177549:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 16.19/3.29 % (917677)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=417740685:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 16.19/3.29 % (917675)Instruction limit reached!
% 16.19/3.29 % (917675)------------------------------
% 16.19/3.29 % (917675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.29 % (917675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.29 % (917675)CaDiCaL version: 2.1.3
% 16.19/3.29 % (917675)Termination reason: Instruction limit
% 16.19/3.29 % (917675)Termination phase: Property scanning
% 16.19/3.29 % (917675)Time elapsed: 0.056 s
% 16.19/3.29 % (917675)Peak memory usage: 90 MB
% 16.19/3.29 % (917675)Instructions burned: 160 (million)
% 16.19/3.29 % (917680)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=358515074:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.19/3.29 % (917677)Instruction limit reached!
% 16.19/3.29 % (917677)------------------------------
% 16.19/3.29 % (917677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.29 % (917677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.29 % (917677)CaDiCaL version: 2.1.3
% 16.19/3.29 % (917677)Termination reason: Instruction limit
% 16.19/3.29 % (917677)Termination phase: Property scanning
% 16.19/3.29 % (917677)Time elapsed: 0.086 s
% 16.19/3.29 % (917677)Peak memory usage: 90 MB
% 16.19/3.29 % (917677)Instructions burned: 251 (million)
% 16.19/3.29 % (917680)Instruction limit reached!
% 16.19/3.29 % (917680)------------------------------
% 16.19/3.29 % (917680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.29 % (917680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.29 % (917680)CaDiCaL version: 2.1.3
% 16.19/3.29 % (917680)Termination reason: Instruction limit
% 16.19/3.29 % (917680)Termination phase: Preprocessing 3
% 16.19/3.30 % (917680)Time elapsed: 0.082 s
% 16.19/3.30 % (917680)Peak memory usage: 95 MB
% 16.19/3.30 % (917680)Instructions burned: 298 (million)
% 16.19/3.30 % (917683)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2193569419:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 16.19/3.30 % (917676)Instruction limit reached!
% 16.19/3.30 % (917676)------------------------------
% 16.19/3.30 % (917676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.30 % (917676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.30 % (917676)CaDiCaL version: 2.1.3
% 16.19/3.30 % (917676)Termination reason: Instruction limit
% 16.19/3.30 % (917676)Termination phase: Saturation
% 16.19/3.30 % (917676)Time elapsed: 0.175 s
% 16.19/3.30 % (917676)Peak memory usage: 96 MB
% 16.19/3.30 % (917676)Instructions burned: 326 (million)
% 16.19/3.30 % (917685)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3500951304:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.19/3.30 % (917686)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2499873897:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 16.19/3.30 % (917686)Instruction limit reached!
% 16.19/3.30 % (917686)------------------------------
% 16.19/3.30 % (917686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.30 % (917686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.30 % (917686)CaDiCaL version: 2.1.3
% 16.19/3.30 % (917686)Termination reason: Instruction limit
% 16.19/3.30 % (917686)Termination phase: Preprocessing 3
% 16.19/3.30 % (917686)Time elapsed: 0.038 s
% 16.19/3.30 % (917686)Peak memory usage: 93 MB
% 16.19/3.30 % (917686)Instructions burned: 127 (million)
% 16.19/3.30 % (917685)Instruction limit reached!
% 16.19/3.30 % (917685)------------------------------
% 16.19/3.30 % (917685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.19/3.30 % (917685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.19/3.30 % (917685)CaDiCaL version: 2.1.3
% 16.19/3.30 % (917685)Termination reason: Instruction limit
% 16.19/3.30 % (917685)Termination phase: Preprocessing 1
% 16.19/3.30 % (917685)Time elapsed: 0.062 s
% 38.91/6.46 % (917685)Peak memory usage: 90 MB
% 38.91/6.46 % (917685)Instructions burned: 113 (million)
% 38.91/6.46 % (917688)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2537882200:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 38.91/6.46 % (917688)Instruction limit reached!
% 38.91/6.46 % (917688)------------------------------
% 38.91/6.46 % (917688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.91/6.46 % (917688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.91/6.46 % (917688)CaDiCaL version: 2.1.3
% 38.91/6.46 % (917688)Termination reason: Instruction limit
% 38.91/6.46 % (917688)Termination phase: Property scanning
% 38.91/6.46 % (917688)Time elapsed: 0.040 s
% 38.91/6.46 % (917688)Peak memory usage: 90 MB
% 38.91/6.46 % (917688)Instructions burned: 115 (million)
% 38.91/6.46 % (917691)lrs+10_1_sil=8000:sp=occurrence:random_seed=2372671029:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 38.91/6.46 % (917692)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3010091161:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 38.91/6.46 % (917694)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3918378267:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 38.91/6.46 % (917691)Instruction limit reached!
% 38.91/6.46 % (917691)------------------------------
% 38.91/6.46 % (917691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.91/6.46 % (917691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.91/6.46 % (917691)CaDiCaL version: 2.1.3
% 38.91/6.46 % (917691)Termination reason: Instruction limit
% 38.91/6.46 % (917691)Termination phase: Saturation
% 38.91/6.46 % (917691)Time elapsed: 0.205 s
% 38.91/6.46 % (917691)Peak memory usage: 102 MB
% 38.91/6.46 % (917691)Instructions burned: 910 (million)
% 38.91/6.46 % (917692)Instruction limit reached!
% 38.91/6.46 % (917692)------------------------------
% 38.91/6.46 % (917692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.91/6.46 % (917692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.91/6.46 % (917692)CaDiCaL version: 2.1.3
% 38.91/6.46 % (917692)Termination reason: Instruction limit
% 38.91/6.46 % (917692)Termination phase: Property scanning
% 38.91/6.46 % (917692)Time elapsed: 0.194 s
% 38.91/6.46 % (917692)Peak memory usage: 96 MB
% 38.91/6.46 % (917692)Instructions burned: 440 (million)
% 38.91/6.46 % (917698)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3096855107:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 38.91/6.46 % (917699)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3457475433:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 38.91/6.46 % (917698)Instruction limit reached!
% 38.91/6.46 % (917698)------------------------------
% 38.91/6.46 % (917698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.91/6.46 % (917698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.91/6.46 % (917698)CaDiCaL version: 2.1.3
% 38.91/6.46 % (917698)Termination reason: Instruction limit
% 38.91/6.46 % (917698)Termination phase: NewCNF
% 38.91/6.46 % (917698)Time elapsed: 0.041 s
% 38.91/6.46 % (917698)Peak memory usage: 92 MB
% 38.91/6.46 % (917698)Instructions burned: 134 (million)
% 38.91/6.46 % (917702)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=277209956:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 38.91/6.46 % (917699)Instruction limit reached!
% 38.91/6.46 % (917699)------------------------------
% 38.91/6.46 % (917699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.91/6.46 % (917699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.91/6.46 % (917699)CaDiCaL version: 2.1.3
% 38.91/6.46 % (917699)Termination reason: Instruction limit
% 38.91/6.46 % (917699)Termination phase: Preprocessing 3
% 38.91/6.46 % (917699)Time elapsed: 0.290 s
% 38.91/6.46 % (917699)Peak memory usage: 102 MB
% 38.91/6.46 % (917699)Instructions burned: 594 (million)
% 38.91/6.46 % (917683)Instruction limit reached!
% 38.91/6.46 % (917683)------------------------------
% 38.91/6.46 % (917683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.91/6.46 % (917683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.91/6.46 % (917683)CaDiCaL version: 2.1.3
% 63.34/9.96 % (917683)Termination reason: Instruction limit
% 63.34/9.96 % (917683)Termination phase: Property scanning
% 63.34/9.96 % (917683)Time elapsed: 0.879 s
% 63.34/9.96 % (917683)Peak memory usage: 104 MB
% 63.34/9.96 % (917683)Instructions burned: 2351 (million)
% 63.34/9.96 % (917704)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=1639943299:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 63.34/9.96 % (917705)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1651427617:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 63.34/9.96 % (917704)Instruction limit reached!
% 63.34/9.96 % (917704)------------------------------
% 63.34/9.96 % (917704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.34/9.96 % (917704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.34/9.96 % (917704)CaDiCaL version: 2.1.3
% 63.34/9.96 % (917704)Termination reason: Instruction limit
% 63.34/9.96 % (917704)Termination phase: Property scanning
% 63.34/9.96 % (917704)Time elapsed: 0.044 s
% 63.34/9.96 % (917704)Peak memory usage: 90 MB
% 63.34/9.96 % (917704)Instructions burned: 126 (million)
% 63.34/9.96 % (917705)Instruction limit reached!
% 63.34/9.96 % (917705)------------------------------
% 63.34/9.96 % (917705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.34/9.96 % (917705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.34/9.96 % (917705)CaDiCaL version: 2.1.3
% 63.34/9.96 % (917705)Termination reason: Instruction limit
% 63.34/9.96 % (917705)Termination phase: Property scanning
% 63.34/9.96 % (917705)Time elapsed: 0.048 s
% 63.34/9.96 % (917705)Peak memory usage: 90 MB
% 63.34/9.96 % (917705)Instructions burned: 137 (million)
% 63.34/9.96 % (917708)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2679280494:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 63.34/9.96 % (917709)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1736102372:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 63.34/9.96 % (917708)Instruction limit reached!
% 63.34/9.96 % (917708)------------------------------
% 63.34/9.96 % (917708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.34/9.96 % (917708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.34/9.96 % (917708)CaDiCaL version: 2.1.3
% 63.34/9.96 % (917708)Termination reason: Instruction limit
% 63.34/9.96 % (917708)Termination phase: Property scanning
% 63.34/9.96 % (917708)Time elapsed: 0.070 s
% 63.34/9.96 % (917708)Peak memory usage: 92 MB
% 63.34/9.96 % (917708)Instructions burned: 143 (million)
% 63.34/9.96 % (917712)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=2085582748:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 63.34/9.96 % (917709)Instruction limit reached!
% 63.34/9.96 % (917709)------------------------------
% 63.34/9.96 % (917709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.34/9.96 % (917709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.34/9.96 % (917709)CaDiCaL version: 2.1.3
% 63.34/9.96 % (917709)Termination reason: Instruction limit
% 63.34/9.96 % (917709)Termination phase: Saturation
% 63.34/9.96 % (917709)Time elapsed: 0.208 s
% 63.34/9.96 % (917709)Peak memory usage: 96 MB
% 63.34/9.96 % (917709)Instructions burned: 433 (million)
% 63.34/9.96 % (917714)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=2708724572:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 63.34/9.96 % (917714)Instruction limit reached!
% 63.34/9.96 % (917714)------------------------------
% 63.34/9.96 % (917714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.34/9.96 % (917714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.34/9.96 % (917714)CaDiCaL version: 2.1.3
% 63.34/9.96 % (917714)Termination reason: Instruction limit
% 63.34/9.96 % (917714)Termination phase: Preprocessing 1
% 63.34/9.96 % (917714)Time elapsed: 0.085 s
% 63.34/9.96 % (917714)Peak memory usage: 91 MB
% 63.34/9.96 % (917714)Instructions burned: 150 (million)
% 63.34/9.96 % (917716)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2960523888:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 94.30/14.27 % (917694)Instruction limit reached!
% 94.30/14.27 % (917694)------------------------------
% 94.30/14.27 % (917694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.30/14.27 % (917694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.30/14.27 % (917694)CaDiCaL version: 2.1.3
% 94.30/14.27 % (917694)Termination reason: Instruction limit
% 94.30/14.27 % (917694)Termination phase: Saturation
% 94.30/14.27 % (917694)Time elapsed: 2.964 s
% 94.30/14.27 % (917694)Peak memory usage: 254 MB
% 94.30/14.27 % (917694)Instructions burned: 5202 (million)
% 94.30/14.27 % (917718)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1233111263:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 94.30/14.27 % (917718)Instruction limit reached!
% 94.30/14.27 % (917718)------------------------------
% 94.30/14.27 % (917718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.30/14.27 % (917718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.30/14.27 % (917718)CaDiCaL version: 2.1.3
% 94.30/14.27 % (917718)Termination reason: Instruction limit
% 94.30/14.27 % (917718)Termination phase: Property scanning
% 94.30/14.27 % (917718)Time elapsed: 0.311 s
% 94.30/14.27 % (917718)Peak memory usage: 101 MB
% 94.30/14.27 % (917718)Instructions burned: 668 (million)
% 94.30/14.27 % (917720)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=2698172503:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 94.30/14.27 % (917720)Instruction limit reached!
% 94.30/14.27 % (917720)------------------------------
% 94.30/14.27 % (917720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.30/14.27 % (917720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.30/14.27 % (917720)CaDiCaL version: 2.1.3
% 94.30/14.27 % (917720)Termination reason: Instruction limit
% 94.30/14.27 % (917720)Termination phase: Preprocessing 1
% 94.30/14.27 % (917720)Time elapsed: 0.097 s
% 94.30/14.27 % (917720)Peak memory usage: 90 MB
% 94.30/14.27 % (917720)Instructions burned: 185 (million)
% 94.30/14.27 % (917722)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4186194747:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 94.30/14.27 % (917722)Instruction limit reached!
% 94.30/14.27 % (917722)------------------------------
% 94.30/14.27 % (917722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.30/14.27 % (917722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.30/14.27 % (917722)CaDiCaL version: 2.1.3
% 94.30/14.27 % (917722)Termination reason: Instruction limit
% 94.30/14.27 % (917722)Termination phase: Preprocessing 1
% 94.30/14.27 % (917722)Time elapsed: 0.101 s
% 94.30/14.27 % (917722)Peak memory usage: 90 MB
% 94.30/14.27 % (917722)Instructions burned: 193 (million)
% 94.30/14.27 % (917724)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=579239075:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 94.30/14.27 % (917702)Instruction limit reached!
% 94.30/14.27 % (917702)------------------------------
% 94.30/14.27 % (917702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.30/14.27 % (917702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.30/14.27 % (917702)CaDiCaL version: 2.1.3
% 94.30/14.27 % (917702)Termination reason: Instruction limit
% 94.30/14.27 % (917702)Termination phase: Saturation
% 94.30/14.27 % (917702)Time elapsed: 4.195 s
% 94.30/14.27 % (917702)Peak memory usage: 293 MB
% 94.30/14.27 % (917702)Instructions burned: 13195 (million)
% 94.30/14.27 % (917726)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=268138670:i=12111:sd=1:ss=included_2942 on theBenchmark for (2942ds/12111Mi)
% 94.30/14.27 % (917712)Instruction limit reached!
% 94.30/14.27 % (917712)------------------------------
% 94.30/14.27 % (917712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.30/14.27 % (917712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.30/14.27 % (917712)CaDiCaL version: 2.1.3
% 94.30/14.27 % (917712)Termination reason: Instruction limit
% 94.30/14.27 % (917712)Termination phase: Saturation
% 94.30/14.27 % (917712)Time elapsed: 3.616 s
% 94.30/14.27 % (917712)Peak memory usage: 304 MB
% 110.50/16.58 % (917712)Instructions burned: 6061 (million)
% 110.50/16.58 % (917728)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=400316121:i=319:kws=precedence:fsr=off_2941 on theBenchmark for (2941ds/319Mi)
% 110.50/16.58 % (917728)Instruction limit reached!
% 110.50/16.58 % (917728)------------------------------
% 110.50/16.58 % (917728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.50/16.58 % (917728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.50/16.58 % (917728)CaDiCaL version: 2.1.3
% 110.50/16.58 % (917728)Termination reason: Instruction limit
% 110.50/16.58 % (917728)Termination phase: Preprocessing 3
% 110.50/16.58 % (917728)Time elapsed: 0.164 s
% 110.50/16.58 % (917728)Peak memory usage: 99 MB
% 110.50/16.58 % (917728)Instructions burned: 320 (million)
% 110.50/16.58 % (917730)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2314288972:i=2064:ep=RST_2938 on theBenchmark for (2938ds/2064Mi)
% 110.50/16.58 % (917730)Instruction limit reached!
% 110.50/16.58 % (917730)------------------------------
% 110.50/16.58 % (917730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.50/16.58 % (917730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.50/16.58 % (917730)CaDiCaL version: 2.1.3
% 110.50/16.58 % (917730)Termination reason: Instruction limit
% 110.50/16.58 % (917730)Termination phase: Property scanning
% 110.50/16.58 % (917730)Time elapsed: 0.756 s
% 110.50/16.58 % (917730)Peak memory usage: 105 MB
% 110.50/16.58 % (917730)Instructions burned: 2066 (million)
% 110.50/16.58 % (917732)dis-1011_128_sil=32000:random_seed=804173420:i=3706:ep=RST:av=off_2929 on theBenchmark for (2929ds/3706Mi)
% 110.50/16.58 % (917724)Instruction limit reached!
% 110.50/16.58 % (917724)------------------------------
% 110.50/16.58 % (917724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.50/16.58 % (917724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.50/16.58 % (917724)CaDiCaL version: 2.1.3
% 110.50/16.58 % (917724)Termination reason: Instruction limit
% 110.50/16.58 % (917724)Termination phase: Saturation
% 110.50/16.58 % (917724)Time elapsed: 2.577 s
% 110.50/16.58 % (917724)Peak memory usage: 130 MB
% 110.50/16.58 % (917724)Instructions burned: 4851 (million)
% 110.50/16.58 % (917734)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3367828454:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2921 on theBenchmark for (2921ds/757Mi)
% 110.50/16.58 % (917734)Instruction limit reached!
% 110.50/16.58 % (917734)------------------------------
% 110.50/16.58 % (917734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.50/16.58 % (917734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.50/16.58 % (917734)CaDiCaL version: 2.1.3
% 110.50/16.58 % (917734)Termination reason: Instruction limit
% 110.50/16.58 % (917734)Termination phase: Saturation
% 110.50/16.58 % (917734)Time elapsed: 0.339 s
% 110.50/16.58 % (917734)Peak memory usage: 100 MB
% 110.50/16.58 % (917734)Instructions burned: 761 (million)
% 110.50/16.58 % (917736)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1895420612:i=13913:ss=axioms:sgt=8_2917 on theBenchmark for (2917ds/13913Mi)
% 110.50/16.58 % (917732)Instruction limit reached!
% 110.50/16.58 % (917732)------------------------------
% 110.50/16.58 % (917732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.50/16.58 % (917732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.50/16.58 % (917732)CaDiCaL version: 2.1.3
% 110.50/16.58 % (917732)Termination reason: Instruction limit
% 110.50/16.58 % (917732)Termination phase: Saturation
% 110.50/16.58 % (917732)Time elapsed: 1.633 s
% 110.50/16.58 % (917732)Peak memory usage: 114 MB
% 110.50/16.58 % (917732)Instructions burned: 3707 (million)
% 110.50/16.58 % (917738)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1033423475:i=9925:aac=none_2911 on theBenchmark for (2911ds/9925Mi)
% 110.50/16.58 % (917726)Instruction limit reached!
% 110.50/16.58 % (917726)------------------------------
% 110.50/16.58 % (917726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.50/16.58 % (917726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.50/16.58 % (917726)CaDiCaL version: 2.1.3
% 110.50/16.58 % (917726)Termination reason: Instruction limit
% 110.50/16.58 % (917726)Termination phase: Saturation
% 110.50/16.58 % (917726)Time elapsed: 3.513 s
% 110.50/16.58 % (917726)Peak memory usage: 229 MB
% 110.50/16.58 % (917726)Instructions burned: 12113 (million)
% 141.15/20.83 % (917740)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1169860760:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2906 on theBenchmark for (2906ds/2479Mi)
% 141.15/20.83 % (917740)Instruction limit reached!
% 141.15/20.83 % (917740)------------------------------
% 141.15/20.83 % (917740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.15/20.83 % (917740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.15/20.83 % (917740)CaDiCaL version: 2.1.3
% 141.15/20.83 % (917740)Termination reason: Instruction limit
% 141.15/20.83 % (917740)Termination phase: Saturation
% 141.15/20.83 % (917740)Time elapsed: 0.661 s
% 141.15/20.83 % (917740)Peak memory usage: 107 MB
% 141.15/20.83 % (917740)Instructions burned: 2481 (million)
% 141.15/20.83 % (917742)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2701953045:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2898 on theBenchmark for (2898ds/440Mi)
% 141.15/20.83 % (917742)Instruction limit reached!
% 141.15/20.83 % (917742)------------------------------
% 141.15/20.83 % (917742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.15/20.83 % (917742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.15/20.83 % (917742)CaDiCaL version: 2.1.3
% 141.15/20.83 % (917742)Termination reason: Instruction limit
% 141.15/20.83 % (917742)Termination phase: Initialization
% 141.15/20.83 % (917742)Time elapsed: 0.081 s
% 141.15/20.83 % (917742)Peak memory usage: 90 MB
% 141.15/20.83 % (917742)Instructions burned: 442 (million)
% 141.15/20.83 % (917744)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2232094279:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2897 on theBenchmark for (2897ds/11145Mi)
% 141.15/20.83 % (917716)Instruction limit reached!
% 141.15/20.83 % (917716)------------------------------
% 141.15/20.83 % (917716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.15/20.83 % (917716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.15/20.83 % (917716)CaDiCaL version: 2.1.3
% 141.15/20.83 % (917716)Termination reason: Instruction limit
% 141.15/20.83 % (917716)Termination phase: Saturation
% 141.15/20.83 % (917716)Time elapsed: 7.873 s
% 141.15/20.83 % (917716)Peak memory usage: 403 MB
% 141.15/20.83 % (917716)Instructions burned: 14156 (million)
% 141.15/20.83 % (917746)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2292413887:cts=off:i=3034:av=off:er=known:fsd=on_2894 on theBenchmark for (2894ds/3034Mi)
% 141.15/20.83 % (917746)Instruction limit reached!
% 141.15/20.83 % (917746)------------------------------
% 141.15/20.83 % (917746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.15/20.83 % (917746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.15/20.83 % (917746)CaDiCaL version: 2.1.3
% 141.15/20.83 % (917746)Termination reason: Instruction limit
% 141.15/20.83 % (917746)Termination phase: Saturation
% 141.15/20.83 % (917746)Time elapsed: 1.897 s
% 141.15/20.83 % (917746)Peak memory usage: 316 MB
% 141.15/20.83 % (917746)Instructions burned: 3034 (million)
% 141.15/20.83 % (917748)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2447041681:st=2:s2a=on:i=524:s2at=2:ss=axioms_2873 on theBenchmark for (2873ds/524Mi)
% 141.15/20.83 % (917748)Instruction limit reached!
% 141.15/20.83 % (917748)------------------------------
% 141.15/20.83 % (917748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.15/20.83 % (917748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.15/20.83 % (917748)CaDiCaL version: 2.1.3
% 141.15/20.83 % (917748)Termination reason: Instruction limit
% 141.15/20.83 % (917748)Termination phase: Preprocessing 3
% 141.15/20.83 % (917748)Time elapsed: 0.249 s
% 141.15/20.83 % (917748)Peak memory usage: 96 MB
% 141.15/20.83 % (917748)Instructions burned: 525 (million)
% 141.15/20.83 % (917750)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=830636080:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2869 on theBenchmark for (2869ds/1016Mi)
% 141.15/20.83 % (917750)Instruction limit reached!
% 141.15/20.83 % (917750)------------------------------
% 141.15/20.83 % (917750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.15/20.83 % (917750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.15/20.83 % (917750)CaDiCaL version: 2.1.3
% 141.15/20.83 % (917750)Termination reason: Instruction limit
% 141.15/20.83 % (917750)Termination phase: Saturation
% 163.01/23.91 % (917750)Time elapsed: 0.482 s
% 163.01/23.91 % (917750)Peak memory usage: 104 MB
% 163.01/23.91 % (917750)Instructions burned: 1016 (million)
% 163.01/23.91 % (917744)Instruction limit reached!
% 163.01/23.91 % (917744)------------------------------
% 163.01/23.91 % (917744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 163.01/23.91 % (917744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.01/23.91 % (917744)CaDiCaL version: 2.1.3
% 163.01/23.91 % (917744)Termination reason: Instruction limit
% 163.01/23.91 % (917744)Termination phase: Saturation
% 163.01/23.91 % (917744)Time elapsed: 3.359 s
% 163.01/23.91 % (917744)Peak memory usage: 251 MB
% 163.01/23.91 % (917744)Instructions burned: 11147 (million)
% 163.01/23.91 % (917752)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2275554207:i=14123:bd=preordered:ins=4_2863 on theBenchmark for (2863ds/14123Mi)
% 163.01/23.91 % (917753)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3483212402:i=5781:kws=precedence:bd=all:rawr=on_2862 on theBenchmark for (2862ds/5781Mi)
% 163.01/23.91 % (917738)Instruction limit reached!
% 163.01/23.91 % (917738)------------------------------
% 163.01/23.91 % (917738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 163.01/23.91 % (917738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.01/23.91 % (917738)CaDiCaL version: 2.1.3
% 163.01/23.91 % (917738)Termination reason: Instruction limit
% 163.01/23.91 % (917738)Termination phase: Saturation
% 163.01/23.91 % (917738)Time elapsed: 5.857 s
% 163.01/23.91 % (917738)Peak memory usage: 382 MB
% 163.01/23.91 % (917738)Instructions burned: 9926 (million)
% 163.01/23.91 % (917756)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=510855472:i=2448:gtgl=5:bd=preordered:gtg=all_2851 on theBenchmark for (2851ds/2448Mi)
% 163.01/23.91 % (917753)Instruction limit reached!
% 163.01/23.91 % (917753)------------------------------
% 163.01/23.91 % (917753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 163.01/23.91 % (917753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.01/23.91 % (917753)CaDiCaL version: 2.1.3
% 163.01/23.91 % (917753)Termination reason: Instruction limit
% 163.01/23.91 % (917753)Termination phase: Saturation
% 163.01/23.91 % (917753)Time elapsed: 1.353 s
% 163.01/23.91 % (917753)Peak memory usage: 123 MB
% 163.01/23.91 % (917753)Instructions burned: 5783 (million)
% 163.01/23.91 % (917758)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3028339522:i=3223:kws=precedence:fgj=on:av=off_2848 on theBenchmark for (2848ds/3223Mi)
% 163.01/23.91 % (917736)Instruction limit reached!
% 163.01/23.91 % (917736)------------------------------
% 163.01/23.91 % (917736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 163.01/23.91 % (917736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.01/23.91 % (917736)CaDiCaL version: 2.1.3
% 163.01/23.91 % (917736)Termination reason: Instruction limit
% 163.01/23.91 % (917736)Termination phase: Saturation
% 163.01/23.91 % (917736)Time elapsed: 7.271 s
% 163.01/23.91 % (917736)Peak memory usage: 255 MB
% 163.01/23.91 % (917736)Instructions burned: 13914 (million)
% 163.01/23.91 % (917760)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=761207918:st=5.6:i=2033:sd=3:ss=axioms_2842 on theBenchmark for (2842ds/2033Mi)
% 163.01/23.91 % (917758)Instruction limit reached!
% 163.01/23.91 % (917758)------------------------------
% 163.01/23.91 % (917758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 163.01/23.91 % (917758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.01/23.91 % (917758)CaDiCaL version: 2.1.3
% 163.01/23.91 % (917758)Termination reason: Instruction limit
% 163.01/23.91 % (917758)Termination phase: Saturation
% 163.01/23.91 % (917758)Time elapsed: 0.627 s
% 163.01/23.91 % (917758)Peak memory usage: 110 MB
% 163.01/23.91 % (917758)Instructions burned: 3223 (million)
% 163.01/23.91 % (917756)Instruction limit reached!
% 163.01/23.91 % (917756)------------------------------
% 163.01/23.91 % (917756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 163.01/23.91 % (917756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.01/23.91 % (917756)CaDiCaL version: 2.1.3
% 163.01/23.91 % (917756)Termination reason: Instruction limit
% 163.01/23.91 % (917756)Termination phase: Saturation
% 163.01/23.91 % (917756)Time elapsed: 0.980 s
% 163.01/23.91 % (917756)Peak memory usage: 118 MB
% 102.35/31.58 % (917756)Instructions burned: 2448 (million)
% 102.35/31.58 % (917762)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=4134574247:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2840 on theBenchmark for (2840ds/2055Mi)
% 102.35/31.58 % (917763)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1896913820:i=21611:sd=3:ss=axioms_2840 on theBenchmark for (2840ds/21611Mi)
% 102.35/31.58 % (917762)Instruction limit reached!
% 102.35/31.58 % (917762)------------------------------
% 102.35/31.58 % (917762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917762)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917762)Termination reason: Instruction limit
% 102.35/31.58 % (917762)Termination phase: Saturation
% 102.35/31.58 % (917762)Time elapsed: 0.563 s
% 102.35/31.58 % (917762)Peak memory usage: 151 MB
% 102.35/31.58 % (917762)Instructions burned: 2056 (million)
% 102.35/31.58 % (917766)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=200450471:i=4835:sd=13:ss=axioms:sgt=23_2834 on theBenchmark for (2834ds/4835Mi)
% 102.35/31.58 % (917760)Instruction limit reached!
% 102.35/31.58 % (917760)------------------------------
% 102.35/31.58 % (917760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917760)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917760)Termination reason: Instruction limit
% 102.35/31.58 % (917760)Termination phase: Saturation
% 102.35/31.58 % (917760)Time elapsed: 0.984 s
% 102.35/31.58 % (917760)Peak memory usage: 131 MB
% 102.35/31.58 % (917760)Instructions burned: 2034 (million)
% 102.35/31.58 % (917768)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2768148632:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2831 on theBenchmark for (2831ds/797Mi)
% 102.35/31.58 % (917768)Instruction limit reached!
% 102.35/31.58 % (917768)------------------------------
% 102.35/31.58 % (917768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917768)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917768)Termination reason: Instruction limit
% 102.35/31.58 % (917768)Termination phase: Property scanning
% 102.35/31.58 % (917768)Time elapsed: 0.395 s
% 102.35/31.58 % (917768)Peak memory usage: 101 MB
% 102.35/31.58 % (917768)Instructions burned: 801 (million)
% 102.35/31.58 % (917770)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3020655261:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2826 on theBenchmark for (2826ds/2326Mi)
% 102.35/31.58 % (917766)Instruction limit reached!
% 102.35/31.58 % (917766)------------------------------
% 102.35/31.58 % (917766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917766)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917766)Termination reason: Instruction limit
% 102.35/31.58 % (917766)Termination phase: Saturation
% 102.35/31.58 % (917766)Time elapsed: 1.324 s
% 102.35/31.58 % (917766)Peak memory usage: 130 MB
% 102.35/31.58 % (917766)Instructions burned: 4838 (million)
% 102.35/31.58 % (917772)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3023233962:i=6038:nm=6_2820 on theBenchmark for (2820ds/6038Mi)
% 102.35/31.58 % (917770)Instruction limit reached!
% 102.35/31.58 % (917770)------------------------------
% 102.35/31.58 % (917770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917770)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917770)Termination reason: Instruction limit
% 102.35/31.58 % (917770)Termination phase: Property scanning
% 102.35/31.58 % (917770)Time elapsed: 0.839 s
% 102.35/31.58 % (917770)Peak memory usage: 105 MB
% 102.35/31.58 % (917770)Instructions burned: 2328 (million)
% 102.35/31.58 % (917774)lrs+10_1_sil=32000:sp=occurrence:random_seed=2597499547:st=2:i=33334:sd=3:ss=included:sgt=32_2816 on theBenchmark for (2816ds/33334Mi)
% 102.35/31.58 % (917772)Instruction limit reached!
% 102.35/31.58 % (917772)------------------------------
% 102.35/31.58 % (917772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917772)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917772)Termination reason: Instruction limit
% 102.35/31.58 % (917772)Termination phase: Saturation
% 102.35/31.58 % (917772)Time elapsed: 2.147 s
% 102.35/31.58 % (917772)Peak memory usage: 375 MB
% 102.35/31.58 % (917772)Instructions burned: 6041 (million)
% 102.35/31.58 % (917776)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=3155730315:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2797 on theBenchmark for (2797ds/1008Mi)
% 102.35/31.58 % (917776)Instruction limit reached!
% 102.35/31.58 % (917776)------------------------------
% 102.35/31.58 % (917776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917776)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917776)Termination reason: Instruction limit
% 102.35/31.58 % (917776)Termination phase: Property scanning
% 102.35/31.58 % (917776)Time elapsed: 0.226 s
% 102.35/31.58 % (917776)Peak memory usage: 100 MB
% 102.35/31.58 % (917776)Instructions burned: 1010 (million)
% 102.35/31.58 % (917778)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2441305287:i=8327:s2at=5:bd=preordered_2794 on theBenchmark for (2794ds/8327Mi)
% 102.35/31.58 % (917752)Instruction limit reached!
% 102.35/31.58 % (917752)------------------------------
% 102.35/31.58 % (917752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917752)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917752)Termination reason: Instruction limit
% 102.35/31.58 % (917752)Termination phase: Saturation
% 102.35/31.58 % (917752)Time elapsed: 8.063 s
% 102.35/31.58 % (917752)Peak memory usage: 277 MB
% 102.35/31.58 % (917752)Instructions burned: 14124 (million)
% 102.35/31.58 % (917780)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1185086421:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2781 on theBenchmark for (2781ds/1083Mi)
% 102.35/31.58 % (917780)Instruction limit reached!
% 102.35/31.58 % (917780)------------------------------
% 102.35/31.58 % (917780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917780)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917780)Termination reason: Instruction limit
% 102.35/31.58 % (917780)Termination phase: Property scanning
% 102.35/31.58 % (917780)Time elapsed: 0.467 s
% 102.35/31.58 % (917780)Peak memory usage: 104 MB
% 102.35/31.58 % (917780)Instructions burned: 1086 (million)
% 102.35/31.58 % (917782)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=3407273420:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2774 on theBenchmark for (2774ds/1084Mi)
% 102.35/31.58 % (917782)Instruction limit reached!
% 102.35/31.58 % (917782)------------------------------
% 102.35/31.58 % (917782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917782)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917782)Termination reason: Instruction limit
% 102.35/31.58 % (917782)Termination phase: Saturation
% 102.35/31.58 % (917782)Time elapsed: 0.538 s
% 102.35/31.58 % (917782)Peak memory usage: 102 MB
% 102.35/31.58 % (917782)Instructions burned: 1086 (million)
% 102.35/31.58 % (917778)Instruction limit reached!
% 102.35/31.58 % (917778)------------------------------
% 102.35/31.58 % (917778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917778)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917778)Termination reason: Instruction limit
% 102.35/31.58 % (917778)Termination phase: Saturation
% 102.35/31.58 % (917778)Time elapsed: 2.568 s
% 102.35/31.58 % (917778)Peak memory usage: 278 MB
% 102.35/31.58 % (917778)Instructions burned: 8330 (million)
% 102.35/31.58 % (917784)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=663994535:i=6995:s2at=5:gtg=all_2768 on theBenchmark for (2768ds/6995Mi)
% 102.35/31.58 % (917785)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1755999076:st=2:i=6225:sd=15:ss=axioms_2767 on theBenchmark for (2767ds/6225Mi)
% 102.35/31.58 % (917785)Instruction limit reached!
% 102.35/31.58 % (917785)------------------------------
% 102.35/31.58 % (917785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917785)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917785)Termination reason: Instruction limit
% 102.35/31.58 % (917785)Termination phase: Saturation
% 102.35/31.58 % (917785)Time elapsed: 1.597 s
% 102.35/31.58 % (917785)Peak memory usage: 154 MB
% 102.35/31.58 % (917785)Instructions burned: 6226 (million)
% 102.35/31.58 % (917788)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=539734137:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2750 on theBenchmark for (2750ds/3372Mi)
% 102.35/31.58 % (917788)Instruction limit reached!
% 102.35/31.58 % (917788)------------------------------
% 102.35/31.58 % (917788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917788)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917788)Termination reason: Instruction limit
% 102.35/31.58 % (917788)Termination phase: Saturation
% 102.35/31.58 % (917788)Time elapsed: 0.929 s
% 102.35/31.58 % (917788)Peak memory usage: 145 MB
% 102.35/31.58 % (917788)Instructions burned: 3372 (million)
% 102.35/31.58 % (917790)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=1903023678:st=2.3:i=26457:sd=10:ss=included:sgt=8_2740 on theBenchmark for (2740ds/26457Mi)
% 102.35/31.58 % (917784)Instruction limit reached!
% 102.35/31.58 % (917784)------------------------------
% 102.35/31.58 % (917784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917784)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917784)Termination reason: Instruction limit
% 102.35/31.58 % (917784)Termination phase: Saturation
% 102.35/31.58 % (917784)Time elapsed: 3.278 s
% 102.35/31.58 % (917784)Peak memory usage: 334 MB
% 102.35/31.58 % (917784)Instructions burned: 6995 (million)
% 102.35/31.58 % (917792)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=2723074659:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2734 on theBenchmark for (2734ds/13494Mi)
% 102.35/31.58 % (917763)Instruction limit reached!
% 102.35/31.58 % (917763)------------------------------
% 102.35/31.58 % (917763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917763)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917763)Termination reason: Instruction limit
% 102.35/31.58 % (917763)Termination phase: Saturation
% 102.35/31.58 % (917763)Time elapsed: 11.835 s
% 102.35/31.58 % (917763)Peak memory usage: 333 MB
% 102.35/31.58 % (917763)Instructions burned: 21612 (million)
% 102.35/31.58 % (917794)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=3973801658:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2720 on theBenchmark for (2720ds/2503Mi)
% 102.35/31.58 % (917794)Instruction limit reached!
% 102.35/31.58 % (917794)------------------------------
% 102.35/31.58 % (917794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.35/31.58 % (917794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.35/31.58 % (917794)CaDiCaL version: 2.1.3
% 102.35/31.58 % (917794)Termination reason: Instruction limit
% 102.35/31.58 % (917794)Termination phase: Saturation
% 102.35/31.58 % (917794)Time elapsed: 1.444 s
% 102.35/31.58 % (917794)Peak memory usage: 183 MB
% 102.35/31.58 % (917794)Instructions burned: 2504 (million)
% 102.35/31.58 % (917796)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=1975431490:i=2559:sd=1:ep=RSTC:ss=axioms_2704 on theBenchmark for (2704ds/2559Mi)
% 102.35/31.58 % (917796)First to succeed.
% 102.35/31.58 % (917796)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-917655"
% 102.35/31.58 % (917796)Refutation found. Thanks to Tanya!
% 102.35/31.58 % SZS status Theorem for theBenchmark
% 102.35/31.58 % SZS output start Proof for theBenchmark
% See solution above
% 217.51/31.78 % (917796)------------------------------
% 217.51/31.78 % (917796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 217.51/31.78 % (917796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 217.51/31.78 % (917796)CaDiCaL version: 2.1.3
% 217.51/31.78 % (917796)Termination reason: Refutation
% 217.51/31.78 % (917796)Time elapsed: 0.857 s
% 217.51/31.78 % (917796)Peak memory usage: 139 MB
% 217.51/31.78 % (917796)Instructions burned: 1343 (million)
% 217.51/31.78 % (917796)------------------------------
% 217.51/31.78 % (917796)------------------------------
% 217.51/31.78 % (917655)Success in time 30.972 s
% 217.51/31.78 % Vampire exiting
%------------------------------------------------------------------------------