%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO464+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:43 AM UTC 2026
% Result : Theorem 14.05s 6.16s
% Output : Refutation 31.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 13 unt; 1 def)
% Number of atoms : 132 ( 4 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 151 ( 53 ~; 47 |; 39 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-2 aty)
% Number of variables : 120 ( 104 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1650,axiom,
! [X0,X1,X2] : s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1))) = s(bool,i(s(fun(X0,bool),X1),s(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aIN) ).
fof(f3294,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
<=> ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
& ! [X2,X3] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X2))))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asubspace) ).
fof(f3313,axiom,
! [X0,X1] : s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSPANu_SPAN) ).
fof(f3315,axiom,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSUBSPACEu_SPAN) ).
fof(f3319,conjecture,
! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X3))))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X2))),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X3)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSPANu_CLAUSESu_conjunct3) ).
fof(f3320,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X3))))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X2))),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X3)))))) ),
inference(negated_conjecture,[status(cth)],[f3319]) ).
fof(f3642,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
<=> ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
& ! [X2,X3] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
inference(rectify,[],[f3294]) ).
fof(f3810,plain,
? [X0,X1,X2,X3] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X2))),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X3))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X3)))))) ),
inference(ennf_transformation,[],[f3320]) ).
fof(f4703,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
<=> ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
& ! [X2,X3] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
inference(ennf_transformation,[],[f3642]) ).
fof(f4704,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
<=> ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
& ! [X2,X3] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
inference(flattening,[],[f4703]) ).
fof(f5647,definition,
! [X1,X0] :
( sP71(X1,X0)
<=> ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
& ! [X2,X3] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f5648,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
<=> sP71(X1,X0) ),
inference(definition_folding,[],[f4704,f5647]) ).
fof(f5744,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK125),bool),bool),i(s(fun(cart(real,sK125),fun(fun(cart(real,sK125),bool),bool)),in),s(cart(real,sK125),i(s(fun(cart(real,sK125),cart(real,sK125)),i(s(fun(real,fun(cart(real,sK125),cart(real,sK125))),r_),s(real,sK127))),s(cart(real,sK125),sK126))))),s(fun(cart(real,sK125),bool),i(s(fun(fun(cart(real,sK125),bool),fun(cart(real,sK125),bool)),span),s(fun(cart(real,sK125),bool),sK128))))))
& p(s(bool,i(s(fun(fun(cart(real,sK125),bool),bool),i(s(fun(cart(real,sK125),fun(fun(cart(real,sK125),bool),bool)),in),s(cart(real,sK125),sK126))),s(fun(cart(real,sK125),bool),i(s(fun(fun(cart(real,sK125),bool),fun(cart(real,sK125),bool)),span),s(fun(cart(real,sK125),bool),sK128)))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK125,sK126,sK127,sK128]),skolemize(X0,sK125),skolemize(X1,sK126),skolemize(X2,sK127),skolemize(X3,sK128)],[f3810]) ).
fof(f7310,plain,
! [X1,X0] :
( ( sP71(X1,X0)
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
| ? [X2,X3] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
| ? [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1)))) ) )
& ( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
& ! [X2,X3] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1)))) ) )
| ~ sP71(X1,X0) ) ),
inference(nnf_transformation,[],[f5647]) ).
fof(f7311,plain,
! [X1,X0] :
( ( sP71(X1,X0)
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
| ? [X2,X3] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
| ? [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1)))) ) )
& ( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),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(fun(cart(real,X0),bool),X1))))
& ! [X2,X3] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X5))),s(fun(cart(real,X0),bool),X1)))) ) )
| ~ sP71(X1,X0) ) ),
inference(flattening,[],[f7310]) ).
fof(f7312,plain,
! [X0,X1] :
( ( sP71(X0,X1)
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),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(fun(cart(real,X1),bool),X0))))
| ? [X2,X3] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_add),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),s(fun(cart(real,X1),bool),X0))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X2))),s(fun(cart(real,X1),bool),X0))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X3))),s(fun(cart(real,X1),bool),X0)))) )
| ? [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X4))),s(cart(real,X1),X5))))),s(fun(cart(real,X1),bool),X0))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X5))),s(fun(cart(real,X1),bool),X0)))) ) )
& ( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),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(fun(cart(real,X1),bool),X0))))
& ! [X6,X7] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_add),s(cart(real,X1),X6))),s(cart(real,X1),X7))))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X6))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X7))),s(fun(cart(real,X1),bool),X0)))) )
& ! [X8,X9] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X8))),s(cart(real,X1),X9))))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X9))),s(fun(cart(real,X1),bool),X0)))) ) )
| ~ sP71(X0,X1) ) ),
inference(rectify,[],[f7311]) ).
fof(f7313,plain,
! [X0,X1] :
( ( sP71(X0,X1)
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),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(fun(cart(real,X1),bool),X0))))
| ( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_add),s(cart(real,X1),sK1766(X0,X1)))),s(cart(real,X1),sK1767(X0,X1)))))),s(fun(cart(real,X1),bool),X0))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),sK1766(X0,X1)))),s(fun(cart(real,X1),bool),X0))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),sK1767(X0,X1)))),s(fun(cart(real,X1),bool),X0)))) )
| ( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,sK1768(X0,X1)))),s(cart(real,X1),sK1769(X0,X1)))))),s(fun(cart(real,X1),bool),X0))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),sK1769(X0,X1)))),s(fun(cart(real,X1),bool),X0)))) ) )
& ( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),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(fun(cart(real,X1),bool),X0))))
& ! [X6,X7] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_add),s(cart(real,X1),X6))),s(cart(real,X1),X7))))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X6))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X7))),s(fun(cart(real,X1),bool),X0)))) )
& ! [X8,X9] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X8))),s(cart(real,X1),X9))))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X9))),s(fun(cart(real,X1),bool),X0)))) ) )
| ~ sP71(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1766,sK1767,sK1768,sK1769]),skolemize(X2,sK1766(X0,X1)),skolemize(X3,sK1767(X0,X1)),skolemize(X4,sK1768(X0,X1)),skolemize(X5,sK1769(X0,X1))],[f7312]) ).
fof(f7314,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
| ~ sP71(X1,X0) )
& ( sP71(X1,X0)
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ) ),
inference(nnf_transformation,[],[f5648]) ).
fof(f8449,plain,
p(s(bool,i(s(fun(fun(cart(real,sK125),bool),bool),i(s(fun(cart(real,sK125),fun(fun(cart(real,sK125),bool),bool)),in),s(cart(real,sK125),sK126))),s(fun(cart(real,sK125),bool),i(s(fun(fun(cart(real,sK125),bool),fun(cart(real,sK125),bool)),span),s(fun(cart(real,sK125),bool),sK128)))))),
inference(cnf_transformation,[],[f5744]) ).
fof(f8450,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK125),bool),bool),i(s(fun(cart(real,sK125),fun(fun(cart(real,sK125),bool),bool)),in),s(cart(real,sK125),i(s(fun(cart(real,sK125),cart(real,sK125)),i(s(fun(real,fun(cart(real,sK125),cart(real,sK125))),r_),s(real,sK127))),s(cart(real,sK125),sK126))))),s(fun(cart(real,sK125),bool),i(s(fun(fun(cart(real,sK125),bool),fun(cart(real,sK125),bool)),span),s(fun(cart(real,sK125),bool),sK128)))))),
inference(cnf_transformation,[],[f5744]) ).
fof(f8930,plain,
! [X2,X0,X1] : s(bool,i(s(fun(X0,bool),X1),s(X0,X2))) = s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1))),
inference(cnf_transformation,[],[f1650]) ).
fof(f8983,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(cnf_transformation,[],[f3315]) ).
fof(f8985,plain,
! [X0,X1] : s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))),
inference(cnf_transformation,[],[f3313]) ).
fof(f11271,plain,
! [X0,X1,X8,X9] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(real,fun(cart(real,X1),cart(real,X1))),r_),s(real,X8))),s(cart(real,X1),X9))))),s(fun(cart(real,X1),bool),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),X9))),s(fun(cart(real,X1),bool),X0))))
| ~ sP71(X0,X1) ),
inference(cnf_transformation,[],[f7313]) ).
fof(f11280,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
| sP71(X1,X0) ),
inference(cnf_transformation,[],[f7314]) ).
fof(f15217,plain,
p(s(bool,i(s(fun(cart(real,sK125),bool),i(s(fun(fun(cart(real,sK125),bool),fun(cart(real,sK125),bool)),span),s(fun(cart(real,sK125),bool),sK128))),s(cart(real,sK125),sK126)))),
inference(forward_demodulation,[],[f8449,f8930]) ).
fof(f15218,plain,
~ p(s(bool,i(s(fun(cart(real,sK125),bool),i(s(fun(fun(cart(real,sK125),bool),fun(cart(real,sK125),bool)),span),s(fun(cart(real,sK125),bool),sK128))),s(cart(real,sK125),i(s(fun(cart(real,sK125),cart(real,sK125)),i(s(fun(real,fun(cart(real,sK125),cart(real,sK125))),r_),s(real,sK127))),s(cart(real,sK125),sK126)))))),
inference(forward_demodulation,[],[f8450,f8930]) ).
fof(f16076,plain,
! [X0,X1] : sP71(i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)),X0),
inference(resolution,[],[f11280,f8983]) ).
fof(f16081,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| ~ sP71(i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))),X0) ),
inference(superposition,[],[f11271,f8985]) ).
fof(f16082,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))) ),
inference(forward_subsumption_resolution,[],[f16081,f16076]) ).
fof(f16083,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X2))),s(cart(real,X0),X3))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X3))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))) ),
inference(forward_demodulation,[],[f16082,f8930]) ).
fof(f16084,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X2))),s(cart(real,X0),X3))))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))),s(cart(real,X0),X3)))) ),
inference(forward_demodulation,[],[f16083,f8930]) ).
fof(f16086,plain,
~ p(s(bool,i(s(fun(cart(real,sK125),bool),i(s(fun(fun(cart(real,sK125),bool),fun(cart(real,sK125),bool)),span),s(fun(cart(real,sK125),bool),sK128))),s(cart(real,sK125),sK126)))),
inference(resolution,[],[f16084,f15218]) ).
fof(f16089,plain,
$false,
inference(forward_subsumption_resolution,[],[f16086,f15217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO464+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:19:00 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.38/3.36 % (1340686)Detected formulas, will run a generic FOF schedule.
% 11.38/3.36 % (1340695)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4040170182:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 11.38/3.36 % (1340695)Instruction limit reached!
% 11.38/3.36 % (1340695)------------------------------
% 11.38/3.36 % (1340695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/3.36 % (1340695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/3.36 % (1340695)CaDiCaL version: 2.1.3
% 11.38/3.36 % (1340695)Termination reason: Instruction limit
% 11.38/3.36 % (1340695)Termination phase: Preprocessing 1
% 11.38/3.36 % (1340695)Time elapsed: 0.037 s
% 11.38/3.36 % (1340695)Peak memory usage: 91 MB
% 11.38/3.36 % (1340695)Instructions burned: 119 (million)
% 11.38/3.36 % (1340692)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=3691576568:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 11.38/3.36 % (1340697)dis-21_1_sil=8000:lcm=predicate:random_seed=4224229372:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 11.38/3.36 % (1340694)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=174634327:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 11.38/3.36 % (1340691)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=1942704945:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 11.38/3.36 % (1340693)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=950839572:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 11.38/3.36 % (1340696)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1230548113:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 11.38/3.36 % (1340696)Instruction limit reached!
% 11.38/3.36 % (1340696)------------------------------
% 11.38/3.36 % (1340696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/3.36 % (1340696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/3.36 % (1340696)CaDiCaL version: 2.1.3
% 11.38/3.36 % (1340696)Termination reason: Instruction limit
% 11.38/3.36 % (1340696)Termination phase: Property scanning
% 11.38/3.36 % (1340696)Time elapsed: 0.048 s
% 11.38/3.36 % (1340696)Peak memory usage: 90 MB
% 11.38/3.36 % (1340696)Instructions burned: 139 (million)
% 11.38/3.36 % (1340694)Instruction limit reached!
% 11.38/3.36 % (1340694)------------------------------
% 11.38/3.36 % (1340694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/3.36 % (1340694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/3.36 % (1340694)CaDiCaL version: 2.1.3
% 11.38/3.36 % (1340694)Termination reason: Instruction limit
% 11.38/3.36 % (1340694)Termination phase: General splitting
% 11.38/3.36 % (1340694)Time elapsed: 0.056 s
% 11.38/3.36 % (1340694)Peak memory usage: 92 MB
% 11.38/3.36 % (1340694)Instructions burned: 109 (million)
% 11.38/3.36 % (1340697)Instruction limit reached!
% 11.38/3.36 % (1340697)------------------------------
% 11.38/3.36 % (1340697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/3.36 % (1340697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/3.36 % (1340697)CaDiCaL version: 2.1.3
% 11.38/3.36 % (1340697)Termination reason: Instruction limit
% 11.38/3.36 % (1340697)Termination phase: SInE selection
% 11.38/3.36 % (1340697)Time elapsed: 0.061 s
% 11.38/3.36 % (1340697)Peak memory usage: 90 MB
% 11.38/3.36 % (1340697)Instructions burned: 129 (million)
% 11.38/3.36 % (1340705)lrs+10_1_sil=8000:sp=occurrence:random_seed=543258616:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.38/3.36 % (1340706)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2376101747:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 11.38/3.36 % (1340705)Instruction limit reached!
% 11.38/3.36 % (1340705)------------------------------
% 11.38/3.36 % (1340705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/3.36 % (1340705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/3.36 % (1340705)CaDiCaL version: 2.1.3
% 11.38/3.36 % (1340705)Termination reason: Instruction limit
% 17.98/4.21 % (1340705)Termination phase: Preprocessing 3
% 17.98/4.21 % (1340705)Time elapsed: 0.082 s
% 17.98/4.21 % (1340705)Peak memory usage: 97 MB
% 17.98/4.21 % (1340705)Instructions burned: 287 (million)
% 17.98/4.21 % (1340708)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=3780206356:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 17.98/4.21 % (1340707)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2715969380:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 17.98/4.21 % (1340706)Instruction limit reached!
% 17.98/4.21 % (1340706)------------------------------
% 17.98/4.21 % (1340706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.98/4.21 % (1340706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.98/4.21 % (1340706)CaDiCaL version: 2.1.3
% 17.98/4.21 % (1340706)Termination reason: Instruction limit
% 17.98/4.21 % (1340706)Termination phase: Property scanning
% 17.98/4.21 % (1340706)Time elapsed: 0.055 s
% 17.98/4.21 % (1340706)Peak memory usage: 90 MB
% 17.98/4.21 % (1340706)Instructions burned: 159 (million)
% 17.98/4.21 % (1340708)Instruction limit reached!
% 17.98/4.21 % (1340708)------------------------------
% 17.98/4.21 % (1340708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.98/4.21 % (1340708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.98/4.21 % (1340708)CaDiCaL version: 2.1.3
% 17.98/4.21 % (1340708)Termination reason: Instruction limit
% 17.98/4.21 % (1340708)Termination phase: Property scanning
% 17.98/4.21 % (1340708)Time elapsed: 0.085 s
% 17.98/4.21 % (1340708)Peak memory usage: 90 MB
% 17.98/4.21 % (1340708)Instructions burned: 249 (million)
% 17.98/4.21 % (1340711)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=393317725:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 17.98/4.21 % (1340707)Instruction limit reached!
% 17.98/4.21 % (1340707)------------------------------
% 17.98/4.21 % (1340707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.98/4.21 % (1340707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.98/4.21 % (1340707)CaDiCaL version: 2.1.3
% 17.98/4.21 % (1340707)Termination reason: Instruction limit
% 17.98/4.21 % (1340707)Termination phase: Saturation
% 17.98/4.21 % (1340707)Time elapsed: 0.171 s
% 17.98/4.21 % (1340707)Peak memory usage: 97 MB
% 17.98/4.21 % (1340707)Instructions burned: 326 (million)
% 17.98/4.21 % (1340714)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3855784070:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 17.98/4.21 % (1340711)Instruction limit reached!
% 17.98/4.21 % (1340711)------------------------------
% 17.98/4.21 % (1340711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.98/4.21 % (1340711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.98/4.21 % (1340711)CaDiCaL version: 2.1.3
% 17.98/4.21 % (1340711)Termination reason: Instruction limit
% 17.98/4.21 % (1340711)Termination phase: Preprocessing 3
% 17.98/4.21 % (1340711)Time elapsed: 0.081 s
% 17.98/4.21 % (1340711)Peak memory usage: 95 MB
% 17.98/4.21 % (1340711)Instructions burned: 294 (million)
% 17.98/4.21 % (1340715)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2158858875:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 17.98/4.21 % (1340719)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2581018839:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 17.98/4.21 % (1340717)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1641658454:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 17.98/4.21 % (1340715)Instruction limit reached!
% 17.98/4.21 % (1340715)------------------------------
% 17.98/4.21 % (1340715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.98/4.21 % (1340715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.98/4.21 % (1340715)CaDiCaL version: 2.1.3
% 17.98/4.21 % (1340715)Termination reason: Instruction limit
% 17.98/4.21 % (1340715)Termination phase: Preprocessing 1
% 17.98/4.21 % (1340715)Time elapsed: 0.061 s
% 17.98/4.21 % (1340715)Peak memory usage: 90 MB
% 17.98/4.21 % (1340715)Instructions burned: 114 (million)
% 17.98/4.21 % (1340719)Instruction limit reached!
% 17.98/4.21 % (1340719)------------------------------
% 17.98/4.21 % (1340719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.15 % (1340719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.15 % (1340719)CaDiCaL version: 2.1.3
% 14.05/6.15 % (1340719)Termination reason: Instruction limit
% 14.05/6.15 % (1340719)Termination phase: Property scanning
% 14.05/6.15 % (1340719)Time elapsed: 0.021 s
% 14.05/6.15 % (1340719)Peak memory usage: 90 MB
% 14.05/6.15 % (1340719)Instructions burned: 117 (million)
% 14.05/6.15 % (1340717)Instruction limit reached!
% 14.05/6.15 % (1340717)------------------------------
% 14.05/6.15 % (1340717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.15 % (1340717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.15 % (1340717)CaDiCaL version: 2.1.3
% 14.05/6.15 % (1340717)Termination reason: Instruction limit
% 14.05/6.15 % (1340717)Termination phase: Naming
% 14.05/6.15 % (1340717)Time elapsed: 0.070 s
% 14.05/6.15 % (1340717)Peak memory usage: 93 MB
% 14.05/6.15 % (1340717)Instructions burned: 128 (million)
% 14.05/6.15 % (1340723)lrs+10_1_sil=8000:sp=occurrence:random_seed=4189027845:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 14.05/6.16 % (1340724)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=173521528:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 14.05/6.16 % (1340725)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3301622147:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 14.05/6.16 % (1340723)Instruction limit reached!
% 14.05/6.16 % (1340723)------------------------------
% 14.05/6.16 % (1340723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340723)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340723)Termination reason: Instruction limit
% 14.05/6.16 % (1340723)Termination phase: Property scanning
% 14.05/6.16 % (1340723)Time elapsed: 0.200 s
% 14.05/6.16 % (1340723)Peak memory usage: 99 MB
% 14.05/6.16 % (1340723)Instructions burned: 908 (million)
% 14.05/6.16 % (1340724)Instruction limit reached!
% 14.05/6.16 % (1340724)------------------------------
% 14.05/6.16 % (1340724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340724)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340724)Termination reason: Instruction limit
% 14.05/6.16 % (1340724)Termination phase: Property scanning
% 14.05/6.16 % (1340724)Time elapsed: 0.206 s
% 14.05/6.16 % (1340724)Peak memory usage: 99 MB
% 14.05/6.16 % (1340724)Instructions burned: 437 (million)
% 14.05/6.16 % (1340729)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4169105581:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 14.05/6.16 % (1340729)Instruction limit reached!
% 14.05/6.16 % (1340729)------------------------------
% 14.05/6.16 % (1340729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340729)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340729)Termination reason: Instruction limit
% 14.05/6.16 % (1340729)Termination phase: Preprocessing 1
% 14.05/6.16 % (1340729)Time elapsed: 0.039 s
% 14.05/6.16 % (1340729)Peak memory usage: 91 MB
% 14.05/6.16 % (1340729)Instructions burned: 137 (million)
% 14.05/6.16 % (1340730)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2811735014:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 14.05/6.16 % (1340732)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1196835147:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 14.05/6.16 % (1340714)Instruction limit reached!
% 14.05/6.16 % (1340714)------------------------------
% 14.05/6.16 % (1340714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340714)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340714)Termination reason: Instruction limit
% 14.05/6.16 % (1340714)Termination phase: Twee Goal Transformation
% 14.05/6.16 % (1340714)Time elapsed: 0.881 s
% 14.05/6.16 % (1340714)Peak memory usage: 105 MB
% 14.05/6.16 % (1340714)Instructions burned: 2351 (million)
% 14.05/6.16 % (1340730)Instruction limit reached!
% 14.05/6.16 % (1340730)------------------------------
% 14.05/6.16 % (1340730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340730)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340730)Termination reason: Instruction limit
% 14.05/6.16 % (1340730)Termination phase: Preprocessing 3
% 14.05/6.16 % (1340730)Time elapsed: 0.287 s
% 14.05/6.16 % (1340730)Peak memory usage: 102 MB
% 14.05/6.16 % (1340730)Instructions burned: 592 (million)
% 14.05/6.16 % (1340735)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=2876300114:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 14.05/6.16 % (1340735)Instruction limit reached!
% 14.05/6.16 % (1340735)------------------------------
% 14.05/6.16 % (1340735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340735)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340735)Termination reason: Instruction limit
% 14.05/6.16 % (1340735)Termination phase: Property scanning
% 14.05/6.16 % (1340735)Time elapsed: 0.044 s
% 14.05/6.16 % (1340735)Peak memory usage: 90 MB
% 14.05/6.16 % (1340735)Instructions burned: 127 (million)
% 14.05/6.16 % (1340736)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=393929199:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 14.05/6.16 % (1340736)Instruction limit reached!
% 14.05/6.16 % (1340736)------------------------------
% 14.05/6.16 % (1340736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340736)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340736)Termination reason: Instruction limit
% 14.05/6.16 % (1340736)Termination phase: Property scanning
% 14.05/6.16 % (1340736)Time elapsed: 0.048 s
% 14.05/6.16 % (1340736)Peak memory usage: 90 MB
% 14.05/6.16 % (1340736)Instructions burned: 137 (million)
% 14.05/6.16 % (1340738)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3972686299:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 14.05/6.16 % (1340738)Instruction limit reached!
% 14.05/6.16 % (1340738)------------------------------
% 14.05/6.16 % (1340738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340738)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340738)Termination reason: Instruction limit
% 14.05/6.16 % (1340738)Termination phase: Saturation
% 14.05/6.16 % (1340738)Time elapsed: 0.072 s
% 14.05/6.16 % (1340738)Peak memory usage: 94 MB
% 14.05/6.16 % (1340738)Instructions burned: 142 (million)
% 14.05/6.16 % (1340740)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2244808173:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 14.05/6.16 % (1340743)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=610066183:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 14.05/6.16 % (1340740)Instruction limit reached!
% 14.05/6.16 % (1340740)------------------------------
% 14.05/6.16 % (1340740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340740)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340740)Termination reason: Instruction limit
% 14.05/6.16 % (1340740)Termination phase: Saturation
% 14.05/6.16 % (1340740)Time elapsed: 0.202 s
% 14.05/6.16 % (1340740)Peak memory usage: 96 MB
% 14.05/6.16 % (1340740)Instructions burned: 432 (million)
% 14.05/6.16 % (1340745)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=1798047154:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2969 on theBenchmark for (2969ds/150Mi)
% 14.05/6.16 % (1340745)Instruction limit reached!
% 14.05/6.16 % (1340745)------------------------------
% 14.05/6.16 % (1340745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340745)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340745)Termination reason: Instruction limit
% 14.05/6.16 % (1340745)Termination phase: Preprocessing 1
% 14.05/6.16 % (1340745)Time elapsed: 0.085 s
% 14.05/6.16 % (1340745)Peak memory usage: 91 MB
% 14.05/6.16 % (1340745)Instructions burned: 150 (million)
% 14.05/6.16 % (1340747)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1817528122:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 14.05/6.16 % (1340725)Instruction limit reached!
% 14.05/6.16 % (1340725)------------------------------
% 14.05/6.16 % (1340725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/6.16 % (1340725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/6.16 % (1340725)CaDiCaL version: 2.1.3
% 14.05/6.16 % (1340725)Termination reason: Instruction limit
% 14.05/6.16 % (1340725)Termination phase: Saturation
% 14.05/6.16 % (1340725)Time elapsed: 2.910 s
% 14.05/6.16 % (1340725)Peak memory usage: 198 MB
% 14.05/6.16 % (1340725)Instructions burned: 5204 (million)
% 14.05/6.16 % (1340749)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=403883580:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 14.05/6.16 % (1340732)First to succeed.
% 14.05/6.16 % (1340732)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1340686"
% 14.05/6.16 % (1340732)Refutation found. Thanks to Tanya!
% 14.05/6.16 % SZS status Theorem for theBenchmark
% 14.05/6.16 % SZS output start Proof for theBenchmark
% See solution above
% 31.92/6.35 % (1340732)------------------------------
% 31.92/6.35 % (1340732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.92/6.35 % (1340732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.92/6.35 % (1340732)CaDiCaL version: 2.1.3
% 31.92/6.35 % (1340732)Termination reason: Refutation
% 31.92/6.35 % (1340732)Time elapsed: 2.796 s
% 31.92/6.35 % (1340732)Peak memory usage: 238 MB
% 31.92/6.35 % (1340732)Instructions burned: 9154 (million)
% 31.92/6.35 % (1340732)------------------------------
% 31.92/6.35 % (1340732)------------------------------
% 31.92/6.35 % (1340686)Success in time 5.292 s
% 31.92/6.35 % Vampire exiting
%------------------------------------------------------------------------------