%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO460+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:42 AM UTC 2026
% Result : Theorem 42.58s 15.51s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 42 unt; 0 def)
% Number of atoms : 70 ( 48 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 12 |; 6 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-2 aty)
% Number of variables : 118 ( 115 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [X0] : s(num,i(s(fun(num,num),numeral),s(num,X0))) = s(num,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNUMERAL) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',aREALu_ADDu_LID) ).
fof(f970,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))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) )
<=> s(real,X0) = s(real,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_LEu_ANTISYM) ).
fof(f1014,axiom,
! [X0,X1] : s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X0))))),s(num,X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X0))),s(num,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_OFu_NUMu_POW) ).
fof(f1026,axiom,
! [X0,X1] : 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(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X0))),s(real,X1))))) = s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_SUBu_LE) ).
fof(f1107,axiom,
! [X0,X1,X2] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X2))))) = 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_add),s(real,X0))),s(real,X2))))),s(real,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_LEu_SUBu_LADD) ).
fof(f1985,axiom,
s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))) = s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aCARDu_BOOL) ).
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/sandbox/benchmark/theBenchmark.p',aNORMu_0) ).
fof(f3287,axiom,
! [X0,X1,X2,X3] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_PASTECART) ).
fof(f3288,axiom,
! [X0,X1,X2,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,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),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),X2))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3)))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_PASTECARTu_LE) ).
fof(f3289,axiom,
! [X0,X1,X2,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,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),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,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3)))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_LEu_PASTECART) ).
fof(f3290,conjecture,
! [X0,X1,X2] : s(real,i(s(fun(cart(real,finite_sum(X1,X0)),real),vectoru_norm),s(cart(real,finite_sum(X1,X0)),i(s(fun(cart(real,X0),cart(real,finite_sum(X1,X0))),i(s(fun(cart(real,X1),fun(cart(real,X0),cart(real,finite_sum(X1,X0)))),pastecart),s(cart(real,X1),X2))),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,X1),real),vectoru_norm),s(cart(real,X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_PASTECARTu_0u_conjunct0) ).
fof(f3291,negated_conjecture,
~ ! [X0,X1,X2] : s(real,i(s(fun(cart(real,finite_sum(X1,X0)),real),vectoru_norm),s(cart(real,finite_sum(X1,X0)),i(s(fun(cart(real,X0),cart(real,finite_sum(X1,X0))),i(s(fun(cart(real,X1),fun(cart(real,X0),cart(real,finite_sum(X1,X0)))),pastecart),s(cart(real,X1),X2))),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,X1),real),vectoru_norm),s(cart(real,X1),X2))),
inference(negated_conjecture,[status(cth)],[f3290]) ).
fof(f3787,plain,
? [X0,X1,X2] : s(real,i(s(fun(cart(real,finite_sum(X1,X0)),real),vectoru_norm),s(cart(real,finite_sum(X1,X0)),i(s(fun(cart(real,X0),cart(real,finite_sum(X1,X0))),i(s(fun(cart(real,X1),fun(cart(real,X0),cart(real,finite_sum(X1,X0)))),pastecart),s(cart(real,X1),X2))),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,X1),real),vectoru_norm),s(cart(real,X1),X2))),
inference(ennf_transformation,[],[f3291]) ).
fof(f5740,plain,
s(real,i(s(fun(cart(real,finite_sum(sK129,sK128)),real),vectoru_norm),s(cart(real,finite_sum(sK129,sK128)),i(s(fun(cart(real,sK128),cart(real,finite_sum(sK129,sK128))),i(s(fun(cart(real,sK129),fun(cart(real,sK128),cart(real,finite_sum(sK129,sK128)))),pastecart),s(cart(real,sK129),sK130))),s(cart(real,sK128),i(s(fun(num,cart(real,sK128)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,sK129),real),vectoru_norm),s(cart(real,sK129),sK130))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128,sK129,sK130]),skolemize(X0,sK128),skolemize(X1,sK129),skolemize(X2,sK130)],[f3787]) ).
fof(f6169,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))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) )
| s(real,X0) != s(real,X1) )
& ( 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_le),s(real,X1))),s(real,X0)))) ) ),
inference(nnf_transformation,[],[f970]) ).
fof(f6170,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))))
& p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0)))) )
| s(real,X0) != s(real,X1) )
& ( 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_le),s(real,X1))),s(real,X0)))) ) ),
inference(flattening,[],[f6169]) ).
fof(f8584,plain,
s(real,i(s(fun(cart(real,finite_sum(sK129,sK128)),real),vectoru_norm),s(cart(real,finite_sum(sK129,sK128)),i(s(fun(cart(real,sK128),cart(real,finite_sum(sK129,sK128))),i(s(fun(cart(real,sK129),fun(cart(real,sK128),cart(real,finite_sum(sK129,sK128)))),pastecart),s(cart(real,sK129),sK130))),s(cart(real,sK128),i(s(fun(num,cart(real,sK128)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,sK129),real),vectoru_norm),s(cart(real,sK129),sK130))),
inference(cnf_transformation,[],[f5740]) ).
fof(f8642,plain,
! [X0] : s(num,X0) = s(num,i(s(fun(num,num),numeral),s(num,X0))),
inference(cnf_transformation,[],[f200]) ).
fof(f8933,plain,
! [X2,X3,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,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3)))))))),
inference(cnf_transformation,[],[f3289]) ).
fof(f8935,plain,
! [X2,X3,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,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),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),X2))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3)))))))),
inference(cnf_transformation,[],[f3288]) ).
fof(f8936,plain,
! [X2,X3,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
inference(cnf_transformation,[],[f3287]) ).
fof(f9039,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(f9249,plain,
! [X2,X0,X1] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,X2))))) = 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_add),s(real,X0))),s(real,X2))))),s(real,X1))),
inference(cnf_transformation,[],[f1107]) ).
fof(f9273,plain,
! [X0,X1] : s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X1))),s(real,X0))) = 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(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X0))),s(real,X1))))),
inference(cnf_transformation,[],[f1026]) ).
fof(f9300,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,X0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,X0))),s(real,X1))))
| s(real,X0) = s(real,X1) ),
inference(cnf_transformation,[],[f6170]) ).
fof(f9414,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(f9416,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(f9439,plain,
s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
inference(cnf_transformation,[],[f1985]) ).
fof(f9565,plain,
! [X0,X1] : s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X0))))),s(num,X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X0))),s(num,X1))))),
inference(cnf_transformation,[],[f1014]) ).
fof(f15624,plain,
! [X2,X3,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(forward_demodulation,[],[f8936,f9439]) ).
fof(f15708,plain,
s(real,i(s(fun(cart(real,sK129),real),vectoru_norm),s(cart(real,sK129),sK130))) != s(real,i(s(fun(cart(real,finite_sum(sK129,sK128)),real),vectoru_norm),s(cart(real,finite_sum(sK129,sK128)),i(s(fun(cart(real,sK128),cart(real,finite_sum(sK129,sK128))),i(s(fun(cart(real,sK129),fun(cart(real,sK128),cart(real,finite_sum(sK129,sK128)))),pastecart),s(cart(real,sK129),sK130))),s(cart(real,sK128),i(s(fun(num,cart(real,sK128)),vec),s(num,u_0))))))),
inference(forward_demodulation,[],[f8584,f8642]) ).
fof(f16751,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(superposition,[],[f15624,f9039]) ).
fof(f16752,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(superposition,[],[f15624,f9039]) ).
fof(f16753,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))) = s(real,i(s(fun(real,real),sqrt),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),i(s(fun(num,fun(num,num)),exp0),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(forward_demodulation,[],[f16752,f9565]) ).
fof(f16754,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))))),
inference(forward_demodulation,[],[f16751,f9565]) ).
fof(f16755,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),s(cart(real,X1),X2))))) = s(real,i(s(fun(real,real),sqrt),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),i(s(fun(num,fun(num,num)),exp0),s(num,u_0))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(forward_demodulation,[],[f16753,f8642]) ).
fof(f16756,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,u_0))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))))),
inference(forward_demodulation,[],[f16754,f8642]) ).
fof(f16757,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))))) = s(real,i(s(fun(real,real),sqrt),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),i(s(fun(num,fun(num,num)),exp0),s(num,u_0))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X2))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(forward_demodulation,[],[f16756,f9416]) ).
fof(f18433,plain,
! [X2,X3,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),X2))),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))))) = s(real,i(s(fun(cart(real,finite_sum(X3,X0)),real),vectoru_norm),s(cart(real,finite_sum(X3,X0)),i(s(fun(cart(real,X0),cart(real,finite_sum(X3,X0))),i(s(fun(cart(real,X3),fun(cart(real,X0),cart(real,finite_sum(X3,X0)))),pastecart),s(cart(real,X3),i(s(fun(num,cart(real,X3)),vec),s(num,u_0))))),s(cart(real,X0),X2))))),
inference(superposition,[],[f16755,f16757]) ).
fof(f18841,plain,
! [X0] : s(real,i(s(fun(cart(real,sK129),real),vectoru_norm),s(cart(real,sK129),sK130))) != s(real,i(s(fun(cart(real,finite_sum(X0,sK129)),real),vectoru_norm),s(cart(real,finite_sum(X0,sK129)),i(s(fun(cart(real,sK129),cart(real,finite_sum(X0,sK129))),i(s(fun(cart(real,X0),fun(cart(real,sK129),cart(real,finite_sum(X0,sK129)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),s(cart(real,sK129),sK130))))),
inference(superposition,[],[f15708,f18433]) ).
fof(f26863,plain,
! [X2,X3,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_add),s(real,i(s(fun(cart(real,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))))))),s(real,i(s(fun(cart(real,finite_sum(X0,X2)),real),vectoru_norm),s(cart(real,finite_sum(X0,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X0,X2))),i(s(fun(cart(real,X0),fun(cart(real,X2),cart(real,finite_sum(X0,X2)))),pastecart),s(cart(real,X0),X1))),s(cart(real,X2),X3))))))))
| s(real,i(s(fun(cart(real,finite_sum(X0,X2)),real),vectoru_norm),s(cart(real,finite_sum(X0,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X0,X2))),i(s(fun(cart(real,X0),fun(cart(real,X2),cart(real,finite_sum(X0,X2)))),pastecart),s(cart(real,X0),X1))),s(cart(real,X2),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),X1))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))))) ),
inference(resolution,[],[f8935,f9300]) ).
fof(f27059,plain,
! [X2,X3,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,X0),real),vectoru_norm),s(cart(real,X0),X1))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,finite_sum(X0,X2)),real),vectoru_norm),s(cart(real,finite_sum(X0,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X0,X2))),i(s(fun(cart(real,X0),fun(cart(real,X2),cart(real,finite_sum(X0,X2)))),pastecart),s(cart(real,X0),X1))),s(cart(real,X2),X3))))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))))))))
| s(real,i(s(fun(cart(real,finite_sum(X0,X2)),real),vectoru_norm),s(cart(real,finite_sum(X0,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X0,X2))),i(s(fun(cart(real,X0),fun(cart(real,X2),cart(real,finite_sum(X0,X2)))),pastecart),s(cart(real,X0),X1))),s(cart(real,X2),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),X1))))),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))))) ),
inference(forward_demodulation,[],[f26863,f9249]) ).
fof(f27100,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(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))))),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))))))
| s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))) = s(real,i(s(fun(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,X1),real),vectoru_norm),s(cart(real,X1),X2))))) ),
inference(superposition,[],[f27059,f9039]) ).
fof(f27259,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(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))),s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))))))
| s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))) = s(real,i(s(fun(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,X1),real),vectoru_norm),s(cart(real,X1),X2))))) ),
inference(forward_demodulation,[],[f27100,f9273]) ).
fof(f27296,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))) = s(real,i(s(fun(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,X1),real),vectoru_norm),s(cart(real,X1),X2))))),
inference(forward_subsumption_resolution,[],[f27259,f8933]) ).
fof(f27313,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))) = s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1),X2))))),
inference(forward_demodulation,[],[f27296,f9414]) ).
fof(f27322,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))) = s(real,i(s(fun(cart(real,finite_sum(X0,X1)),real),vectoru_norm),s(cart(real,finite_sum(X0,X1)),i(s(fun(cart(real,X1),cart(real,finite_sum(X0,X1))),i(s(fun(cart(real,X0),fun(cart(real,X1),cart(real,finite_sum(X0,X1)))),pastecart),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),s(cart(real,X1),X2))))),
inference(forward_demodulation,[],[f27313,f8642]) ).
fof(f27401,plain,
s(real,i(s(fun(cart(real,sK129),real),vectoru_norm),s(cart(real,sK129),sK130))) != s(real,i(s(fun(cart(real,sK129),real),vectoru_norm),s(cart(real,sK129),sK130))),
inference(superposition,[],[f18841,f27322]) ).
fof(f27464,plain,
$false,
inference(trivial_inequality_removal,[],[f27401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO460+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n003.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 08:16:40 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.98/5.04 % (193333)Detected formulas, will run a generic FOF schedule.
% 19.98/5.04 % (193340)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=2329155645:i=141193_2987 on theBenchmark for (2987ds/141193Mi)
% 19.98/5.04 % (193346)dis-21_1_sil=8000:lcm=predicate:random_seed=4067445002:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2987 on theBenchmark for (2987ds/129Mi)
% 19.98/5.04 % (193341)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=3069101317:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/134677Mi)
% 19.98/5.04 % (193345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2624535102:s2a=on:i=139:gtg=position_2987 on theBenchmark for (2987ds/139Mi)
% 19.98/5.04 % (193344)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2942442149:i=119:av=off:ss=axioms_2987 on theBenchmark for (2987ds/119Mi)
% 19.98/5.04 % (193343)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3294345802:i=109:sd=1:ins=1:gsp=on:ss=axioms_2987 on theBenchmark for (2987ds/109Mi)
% 19.98/5.04 % (193342)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=3224993245:i=141695:sd=1:nm=32:gsp=on:ss=included_2987 on theBenchmark for (2987ds/141695Mi)
% 19.98/5.04 % (193346)Instruction limit reached!
% 19.98/5.04 % (193346)------------------------------
% 19.98/5.04 % (193346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.98/5.04 % (193346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/5.04 % (193346)CaDiCaL version: 2.1.3
% 19.98/5.04 % (193346)Termination reason: Instruction limit
% 19.98/5.04 % (193346)Termination phase: SInE selection
% 19.98/5.04 % (193346)Time elapsed: 0.103 s
% 19.98/5.04 % (193346)Peak memory usage: 89 MB
% 19.98/5.04 % (193346)Instructions burned: 130 (million)
% 19.98/5.04 % (193343)Instruction limit reached!
% 19.98/5.04 % (193343)------------------------------
% 19.98/5.04 % (193343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.98/5.04 % (193343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/5.04 % (193343)CaDiCaL version: 2.1.3
% 19.98/5.04 % (193343)Termination reason: Instruction limit
% 19.98/5.04 % (193343)Termination phase: Property scanning
% 19.98/5.04 % (193343)Time elapsed: 0.091 s
% 19.98/5.04 % (193343)Peak memory usage: 91 MB
% 19.98/5.04 % (193343)Instructions burned: 110 (million)
% 19.98/5.04 % (193344)Instruction limit reached!
% 19.98/5.04 % (193344)------------------------------
% 19.98/5.04 % (193344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.98/5.04 % (193344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/5.04 % (193344)CaDiCaL version: 2.1.3
% 19.98/5.04 % (193344)Termination reason: Instruction limit
% 19.98/5.04 % (193344)Termination phase: Unused predicate definition removal
% 19.98/5.04 % (193344)Time elapsed: 0.102 s
% 19.98/5.04 % (193344)Peak memory usage: 90 MB
% 19.98/5.04 % (193344)Instructions burned: 119 (million)
% 19.98/5.04 % (193345)Instruction limit reached!
% 19.98/5.04 % (193345)------------------------------
% 19.98/5.04 % (193345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.98/5.04 % (193345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/5.04 % (193345)CaDiCaL version: 2.1.3
% 19.98/5.04 % (193345)Termination reason: Instruction limit
% 19.98/5.04 % (193345)Termination phase: Property scanning
% 19.98/5.04 % (193345)Time elapsed: 0.103 s
% 19.98/5.04 % (193345)Peak memory usage: 90 MB
% 19.98/5.04 % (193345)Instructions burned: 140 (million)
% 19.98/5.04 % (193356)lrs+10_1_sil=8000:sp=occurrence:random_seed=141840369:i=285:sd=3:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/285Mi)
% 19.98/5.04 % (193359)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=2822808817:s2a=on:i=248:s2at=1.23:gtg=position_2984 on theBenchmark for (2984ds/248Mi)
% 19.98/5.04 % (193357)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1197128989:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/157Mi)
% 19.98/5.04 % (193358)lrs+1011_1_sil=32000:sp=occurrence:random_seed=442228495:i=325:sd=1:ss=axioms:sgt=32_2984 on theBenchmark for (2984ds/325Mi)
% 19.98/5.04 % (193357)Instruction limit reached!
% 19.98/5.04 % (193357)------------------------------
% 32.77/6.61 % (193357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/6.61 % (193357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/6.61 % (193357)CaDiCaL version: 2.1.3
% 32.77/6.61 % (193357)Termination reason: Instruction limit
% 32.77/6.61 % (193357)Termination phase: Property scanning
% 32.77/6.61 % (193357)Time elapsed: 0.117 s
% 32.77/6.61 % (193357)Peak memory usage: 90 MB
% 32.77/6.61 % (193357)Instructions burned: 157 (million)
% 32.77/6.61 % (193359)Instruction limit reached!
% 32.77/6.61 % (193359)------------------------------
% 32.77/6.61 % (193359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/6.61 % (193359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/6.61 % (193359)CaDiCaL version: 2.1.3
% 32.77/6.61 % (193359)Termination reason: Instruction limit
% 32.77/6.61 % (193359)Termination phase: Property scanning
% 32.77/6.61 % (193359)Time elapsed: 0.184 s
% 32.77/6.61 % (193359)Peak memory usage: 90 MB
% 32.77/6.61 % (193359)Instructions burned: 249 (million)
% 32.77/6.61 % (193356)Instruction limit reached!
% 32.77/6.61 % (193356)------------------------------
% 32.77/6.61 % (193356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/6.61 % (193356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/6.61 % (193356)CaDiCaL version: 2.1.3
% 32.77/6.61 % (193356)Termination reason: Instruction limit
% 32.77/6.61 % (193356)Termination phase: Property scanning
% 32.77/6.61 % (193356)Time elapsed: 0.236 s
% 32.77/6.61 % (193356)Peak memory usage: 96 MB
% 32.77/6.61 % (193356)Instructions burned: 285 (million)
% 32.77/6.61 % (193358)Instruction limit reached!
% 32.77/6.61 % (193358)------------------------------
% 32.77/6.61 % (193358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/6.61 % (193358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/6.61 % (193358)CaDiCaL version: 2.1.3
% 32.77/6.61 % (193358)Termination reason: Instruction limit
% 32.77/6.61 % (193358)Termination phase: Saturation
% 32.77/6.61 % (193358)Time elapsed: 0.296 s
% 32.77/6.61 % (193358)Peak memory usage: 96 MB
% 32.77/6.61 % (193358)Instructions burned: 325 (million)
% 32.77/6.61 % (193364)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3576945108:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2980 on theBenchmark for (2980ds/294Mi)
% 32.77/6.61 % (193365)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2840140710:i=2350_2980 on theBenchmark for (2980ds/2350Mi)
% 32.77/6.61 % (193366)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3356440395:cts=off:i=113:fsr=off:ss=included:sgt=4_2979 on theBenchmark for (2979ds/113Mi)
% 32.77/6.61 % (193367)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1054538779:i=127:av=off:fsr=off:sup=off_2978 on theBenchmark for (2978ds/127Mi)
% 32.77/6.61 % (193366)Instruction limit reached!
% 32.77/6.61 % (193366)------------------------------
% 32.77/6.61 % (193366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/6.61 % (193366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/6.61 % (193366)CaDiCaL version: 2.1.3
% 32.77/6.61 % (193366)Termination reason: Instruction limit
% 32.77/6.61 % (193366)Termination phase: Preprocessing 1
% 32.77/6.61 % (193366)Time elapsed: 0.097 s
% 32.77/6.61 % (193366)Peak memory usage: 90 MB
% 32.77/6.61 % (193366)Instructions burned: 113 (million)
% 32.77/6.61 % (193364)Instruction limit reached!
% 32.77/6.61 % (193364)------------------------------
% 32.77/6.61 % (193364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/6.61 % (193364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/6.61 % (193364)CaDiCaL version: 2.1.3
% 32.77/6.61 % (193364)Termination reason: Instruction limit
% 32.77/6.61 % (193364)Termination phase: Preprocessing 3
% 32.77/6.61 % (193364)Time elapsed: 0.239 s
% 32.77/6.61 % (193364)Peak memory usage: 95 MB
% 32.77/6.61 % (193364)Instructions burned: 294 (million)
% 32.77/6.61 % (193367)Instruction limit reached!
% 32.77/6.61 % (193367)------------------------------
% 32.77/6.61 % (193367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.77/6.61 % (193367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.77/6.61 % (193367)CaDiCaL version: 2.1.3
% 32.77/6.61 % (193367)Termination reason: Instruction limit
% 32.77/6.61 % (193367)Termination phase: Naming
% 32.77/6.61 % (193367)Time elapsed: 0.114 s
% 72.94/12.25 % (193367)Peak memory usage: 93 MB
% 72.94/12.25 % (193367)Instructions burned: 127 (million)
% 72.94/12.25 % (193372)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3403681464:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2976 on theBenchmark for (2976ds/114Mi)
% 72.94/12.25 % (193373)lrs+10_1_sil=8000:sp=occurrence:random_seed=4005551433:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2975 on theBenchmark for (2975ds/907Mi)
% 72.94/12.25 % (193372)Instruction limit reached!
% 72.94/12.25 % (193372)------------------------------
% 72.94/12.25 % (193372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.94/12.25 % (193372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.94/12.25 % (193372)CaDiCaL version: 2.1.3
% 72.94/12.25 % (193372)Termination reason: Instruction limit
% 72.94/12.25 % (193372)Termination phase: Property scanning
% 72.94/12.25 % (193372)Time elapsed: 0.085 s
% 72.94/12.25 % (193372)Peak memory usage: 90 MB
% 72.94/12.25 % (193372)Instructions burned: 114 (million)
% 72.94/12.25 % (193375)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2680530799:i=437:sd=1:aac=none:ss=included_2975 on theBenchmark for (2975ds/437Mi)
% 72.94/12.25 % (193379)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3288872343:i=5202:ss=axioms:sgt=16_2973 on theBenchmark for (2973ds/5202Mi)
% 72.94/12.25 % (193375)Instruction limit reached!
% 72.94/12.25 % (193375)------------------------------
% 72.94/12.25 % (193375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.94/12.25 % (193375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.94/12.25 % (193375)CaDiCaL version: 2.1.3
% 72.94/12.25 % (193375)Termination reason: Instruction limit
% 72.94/12.25 % (193375)Termination phase: Property scanning
% 72.94/12.25 % (193375)Time elapsed: 0.352 s
% 72.94/12.25 % (193375)Peak memory usage: 98 MB
% 72.94/12.25 % (193375)Instructions burned: 437 (million)
% 72.94/12.25 % (193382)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3879291180:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 72.94/12.25 % (193373)Instruction limit reached!
% 72.94/12.25 % (193373)------------------------------
% 72.94/12.25 % (193373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.94/12.25 % (193373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.94/12.25 % (193373)CaDiCaL version: 2.1.3
% 72.94/12.25 % (193373)Termination reason: Instruction limit
% 72.94/12.25 % (193373)Termination phase: Saturation
% 72.94/12.25 % (193373)Time elapsed: 0.699 s
% 72.94/12.25 % (193373)Peak memory usage: 101 MB
% 72.94/12.25 % (193373)Instructions burned: 908 (million)
% 72.94/12.25 % (193382)Instruction limit reached!
% 72.94/12.25 % (193382)------------------------------
% 72.94/12.25 % (193382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.94/12.25 % (193382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.94/12.25 % (193382)CaDiCaL version: 2.1.3
% 72.94/12.25 % (193382)Termination reason: Instruction limit
% 72.94/12.25 % (193382)Termination phase: Preprocessing 1
% 72.94/12.25 % (193382)Time elapsed: 0.113 s
% 72.94/12.25 % (193382)Peak memory usage: 91 MB
% 72.94/12.25 % (193382)Instructions burned: 134 (million)
% 72.94/12.25 % (193384)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2684745410:st=8:i=592:sd=3:ep=RST:ss=axioms_2966 on theBenchmark for (2966ds/592Mi)
% 72.94/12.25 % (193385)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2176849029:st=3:i=13193:sd=3:ss=axioms_2965 on theBenchmark for (2965ds/13193Mi)
% 72.94/12.25 % (193365)Instruction limit reached!
% 72.94/12.25 % (193365)------------------------------
% 72.94/12.25 % (193365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.94/12.25 % (193365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.94/12.25 % (193365)CaDiCaL version: 2.1.3
% 72.94/12.25 % (193365)Termination reason: Instruction limit
% 72.94/12.25 % (193365)Termination phase: Twee Goal Transformation
% 72.94/12.25 % (193365)Time elapsed: 1.697 s
% 72.94/12.25 % (193365)Peak memory usage: 104 MB
% 72.94/12.25 % (193365)Instructions burned: 2350 (million)
% 72.94/12.25 % (193384)Instruction limit reached!
% 72.94/12.25 % (193384)------------------------------
% 72.94/12.25 % (193384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.94/12.25 % (193384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.94/12.25 % (193384)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193384)Termination reason: Instruction limit
% 42.58/15.51 % (193384)Termination phase: Preprocessing 3
% 42.58/15.51 % (193384)Time elapsed: 0.488 s
% 42.58/15.51 % (193384)Peak memory usage: 102 MB
% 42.58/15.51 % (193384)Instructions burned: 592 (million)
% 42.58/15.51 % (193388)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=4125287380:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/125Mi)
% 42.58/15.51 % (193388)Instruction limit reached!
% 42.58/15.51 % (193388)------------------------------
% 42.58/15.51 % (193388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193388)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193388)Termination reason: Instruction limit
% 42.58/15.51 % (193388)Termination phase: Property scanning
% 42.58/15.51 % (193388)Time elapsed: 0.094 s
% 42.58/15.51 % (193388)Peak memory usage: 90 MB
% 42.58/15.51 % (193388)Instructions burned: 125 (million)
% 42.58/15.51 % (193389)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=113862519:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 42.58/15.51 % (193389)Instruction limit reached!
% 42.58/15.51 % (193389)------------------------------
% 42.58/15.51 % (193389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193389)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193389)Termination reason: Instruction limit
% 42.58/15.51 % (193389)Termination phase: Property scanning
% 42.58/15.51 % (193389)Time elapsed: 0.102 s
% 42.58/15.51 % (193389)Peak memory usage: 90 MB
% 42.58/15.51 % (193389)Instructions burned: 135 (million)
% 42.58/15.51 % (193391)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4123679871:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/141Mi)
% 42.58/15.51 % (193391)Refutation not found, incomplete strategy
% 42.58/15.51 % (193391)------------------------------
% 42.58/15.51 % (193391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193391)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193391)Termination reason: Refutation not found, incomplete strategy
% 42.58/15.51 % (193391)Time elapsed: 0.099 s
% 42.58/15.51 % (193391)Peak memory usage: 94 MB
% 42.58/15.51 % (193391)Instructions burned: 115 (million)
% 42.58/15.51 % (193393)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2081204542:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/431Mi)
% 42.58/15.51 % (193393)Refutation not found, incomplete strategy
% 42.58/15.51 % (193393)------------------------------
% 42.58/15.51 % (193393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193393)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193393)Termination reason: Refutation not found, incomplete strategy
% 42.58/15.51 % (193393)Time elapsed: 0.107 s
% 42.58/15.51 % (193393)Peak memory usage: 94 MB
% 42.58/15.51 % (193393)Instructions burned: 124 (million)
% 42.58/15.51 % (193391)------------------------------
% 42.58/15.51 % (193391)------------------------------
% 42.58/15.51 % (193393)------------------------------
% 42.58/15.51 % (193393)------------------------------
% 42.58/15.51 % (193396)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=3605829086:i=6060:aac=none:ins=25_2949 on theBenchmark for (2949ds/6060Mi)
% 42.58/15.51 % (193397)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=3159749986:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2947 on theBenchmark for (2947ds/150Mi)
% 42.58/15.51 % (193397)Instruction limit reached!
% 42.58/15.51 % (193397)------------------------------
% 42.58/15.51 % (193397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193397)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193397)Termination reason: Instruction limit
% 42.58/15.51 % (193397)Termination phase: Preprocessing 1
% 42.58/15.51 % (193397)Time elapsed: 0.127 s
% 42.58/15.51 % (193397)Peak memory usage: 91 MB
% 42.58/15.51 % (193397)Instructions burned: 150 (million)
% 42.58/15.51 % (193400)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1237812983:i=14155:bd=all_2943 on theBenchmark for (2943ds/14155Mi)
% 42.58/15.51 % (193379)Instruction limit reached!
% 42.58/15.51 % (193379)------------------------------
% 42.58/15.51 % (193379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193379)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193379)Termination reason: Instruction limit
% 42.58/15.51 % (193379)Termination phase: Saturation
% 42.58/15.51 % (193379)Time elapsed: 4.822 s
% 42.58/15.51 % (193379)Peak memory usage: 191 MB
% 42.58/15.51 % (193379)Instructions burned: 5202 (million)
% 42.58/15.51 % (193404)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1148051982:i=667:av=off:fsr=off_2922 on theBenchmark for (2922ds/667Mi)
% 42.58/15.51 % (193404)Instruction limit reached!
% 42.58/15.51 % (193404)------------------------------
% 42.58/15.51 % (193404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193404)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193404)Termination reason: Instruction limit
% 42.58/15.51 % (193404)Termination phase: Property scanning
% 42.58/15.51 % (193404)Time elapsed: 0.539 s
% 42.58/15.51 % (193404)Peak memory usage: 102 MB
% 42.58/15.51 % (193404)Instructions burned: 667 (million)
% 42.58/15.51 % (193406)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=1269493992:s2a=on:i=185:s2at=1.8:fdi=4_2914 on theBenchmark for (2914ds/185Mi)
% 42.58/15.51 % (193406)Instruction limit reached!
% 42.58/15.51 % (193406)------------------------------
% 42.58/15.51 % (193406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193406)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193406)Termination reason: Instruction limit
% 42.58/15.51 % (193406)Termination phase: Preprocessing 1
% 42.58/15.51 % (193406)Time elapsed: 0.151 s
% 42.58/15.51 % (193406)Peak memory usage: 91 MB
% 42.58/15.51 % (193406)Instructions burned: 185 (million)
% 42.58/15.51 % (193408)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3382811887:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2910 on theBenchmark for (2910ds/193Mi)
% 42.58/15.51 % (193408)Instruction limit reached!
% 42.58/15.51 % (193408)------------------------------
% 42.58/15.51 % (193408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193408)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193408)Termination reason: Instruction limit
% 42.58/15.51 % (193408)Termination phase: Preprocessing 1
% 42.58/15.51 % (193408)Time elapsed: 0.162 s
% 42.58/15.51 % (193408)Peak memory usage: 90 MB
% 42.58/15.51 % (193408)Instructions burned: 193 (million)
% 42.58/15.51 % (193410)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=737324300:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2905 on theBenchmark for (2905ds/4850Mi)
% 42.58/15.51 % (193396)Instruction limit reached!
% 42.58/15.51 % (193396)------------------------------
% 42.58/15.51 % (193396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193396)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193396)Termination reason: Instruction limit
% 42.58/15.51 % (193396)Termination phase: Saturation
% 42.58/15.51 % (193396)Time elapsed: 5.959 s
% 42.58/15.51 % (193396)Peak memory usage: 417 MB
% 42.58/15.51 % (193396)Instructions burned: 6060 (million)
% 42.58/15.51 % (193410)Refutation not found, incomplete strategy
% 42.58/15.51 % (193410)------------------------------
% 42.58/15.51 % (193410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193410)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193410)Termination reason: Refutation not found, incomplete strategy
% 42.58/15.51 % (193410)Time elapsed: 1.705 s
% 42.58/15.51 % (193410)Peak memory usage: 121 MB
% 42.58/15.51 % (193410)Instructions burned: 2178 (million)
% 42.58/15.51 % (193412)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2466706232:i=12111:sd=1:ss=included_2886 on theBenchmark for (2886ds/12111Mi)
% 42.58/15.51 % (193410)------------------------------
% 42.58/15.51 % (193410)------------------------------
% 42.58/15.51 % (193414)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=949992926:i=319:kws=precedence:fsr=off_2882 on theBenchmark for (2882ds/319Mi)
% 42.58/15.51 % (193414)Instruction limit reached!
% 42.58/15.51 % (193414)------------------------------
% 42.58/15.51 % (193414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193414)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193414)Termination reason: Instruction limit
% 42.58/15.51 % (193414)Termination phase: Preprocessing 3
% 42.58/15.51 % (193414)Time elapsed: 0.274 s
% 42.58/15.51 % (193414)Peak memory usage: 99 MB
% 42.58/15.51 % (193414)Instructions burned: 319 (million)
% 42.58/15.51 % (193416)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4219082995:i=2064:ep=RST_2876 on theBenchmark for (2876ds/2064Mi)
% 42.58/15.51 % (193416)Instruction limit reached!
% 42.58/15.51 % (193416)------------------------------
% 42.58/15.51 % (193416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.58/15.51 % (193416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.58/15.51 % (193416)CaDiCaL version: 2.1.3
% 42.58/15.51 % (193416)Termination reason: Instruction limit
% 42.58/15.51 % (193416)Termination phase: Property scanning
% 42.58/15.51 % (193416)Time elapsed: 0.945 s
% 42.58/15.51 % (193416)Peak memory usage: 106 MB
% 42.58/15.51 % (193416)Instructions burned: 2067 (million)
% 42.58/15.51 % (193526)dis-1011_128_sil=32000:random_seed=3342296433:i=3706:ep=RST:av=off_2864 on theBenchmark for (2864ds/3706Mi)
% 42.58/15.51 % (193385)First to succeed.
% 42.58/15.51 % (193385)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-193333"
% 42.58/15.51 % (193385)Refutation found. Thanks to Tanya!
% 42.58/15.51 % SZS status Theorem for theBenchmark
% 42.58/15.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/15.71 % (193385)------------------------------
% 0.24/15.71 % (193385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/15.71 % (193385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/15.71 % (193385)CaDiCaL version: 2.1.3
% 0.24/15.71 % (193385)Termination reason: Refutation
% 0.24/15.71 % (193385)Time elapsed: 10.586 s
% 0.24/15.71 % (193385)Peak memory usage: 318 MB
% 0.24/15.71 % (193385)Instructions burned: 12285 (million)
% 0.24/15.71 % (193385)------------------------------
% 0.24/15.71 % (193385)------------------------------
% 0.24/15.71 % (193333)Success in time 14.576 s
% 0.24/15.71 % Vampire exiting
%------------------------------------------------------------------------------