%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO478+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 09:52:45 AM UTC 2026
% Result : Theorem 26.69s 10.07s
% Output : Refutation 58.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 89 ( 10 unt; 5 def)
% Number of atoms : 377 ( 99 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 439 ( 151 ~; 209 |; 57 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-4 aty)
% Number of variables : 277 ( 0 sgn 239 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3623,axiom,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))) )
& ! [X6,X7] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X6)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X6))),s(fun(cart(real,X0),bool),X7)))))) ) )
=> ! [X4] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
& ! [X8,X9] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X8))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X9)))
=> s(cart(real,X1),X8) = s(cart(real,X1),X9) ) )
=> ! [X5] : s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5))))) = s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aWLOGu_LINEARu_INJECTIVEu_IMAGEu_2) ).
fof(f3624,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X6)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X6))),s(fun(cart(real,X1),bool),X7)))))) )
& ! [X8,X9] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X9))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X8)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X8))),s(fun(cart(real,X0),bool),X9)))))) )
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
& ! [X10,X11] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X10))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X11)))
=> s(cart(real,X1),X10) = s(cart(real,X1),X11) ) )
=> s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5))))) = s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aWLOGu_LINEARu_INJECTIVEu_IMAGEu_2u_ALT) ).
fof(f3625,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X6)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X6))),s(fun(cart(real,X1),bool),X7)))))) )
& ! [X8,X9] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X9))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X8)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X8))),s(fun(cart(real,X0),bool),X9)))))) )
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
& ! [X10,X11] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X10))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X11)))
=> s(cart(real,X1),X10) = s(cart(real,X1),X11) ) )
=> s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5))))) = s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) ),
inference(negated_conjecture,[status(cth)],[f3624]) ).
fof(f3680,plain,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))) )
& ! [X6,X7] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X6)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X6))),s(fun(cart(real,X0),bool),X7)))))) ) )
=> ! [X8] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X8))))
& ! [X9,X10] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X9))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X10)))
=> s(cart(real,X1),X9) = s(cart(real,X1),X10) ) )
=> ! [X11] : s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X11))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X8))),s(fun(cart(real,X1),bool),X11))))) ) ),
inference(rectify,[],[f3623]) ).
fof(f4179,plain,
? [X0,X1,X2,X3,X4,X5] :
( s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) != s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
& ! [X6,X7] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X6))),s(fun(cart(real,X1),bool),X7))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X7))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X6)))) )
& ! [X8,X9] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X8))),s(fun(cart(real,X0),bool),X9))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X9))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X8)))) )
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
& ! [X10,X11] :
( s(cart(real,X1),X10) = s(cart(real,X1),X11)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X10))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X11))) ) ),
inference(ennf_transformation,[],[f3625]) ).
fof(f4180,plain,
? [X0,X1,X2,X3,X4,X5] :
( s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) != s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
& ! [X6,X7] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X6))),s(fun(cart(real,X1),bool),X7))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X7))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X6)))) )
& ! [X8,X9] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X8))),s(fun(cart(real,X0),bool),X9))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X9))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X8)))) )
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
& ! [X10,X11] :
( s(cart(real,X1),X10) = s(cart(real,X1),X11)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X10))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X11))) ) ),
inference(flattening,[],[f4179]) ).
fof(f4229,plain,
! [X0,X1,X2,X3] :
( ! [X8] :
( ! [X11] : s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X11))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X8))),s(fun(cart(real,X1),bool),X11)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X8))))
| ? [X9,X10] :
( s(cart(real,X1),X9) != s(cart(real,X1),X10)
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X9))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X10))) ) )
| ? [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5))))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4)))) )
| ? [X6,X7] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X6))),s(fun(cart(real,X0),bool),X7))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X6)))) ) ),
inference(ennf_transformation,[],[f3680]) ).
fof(f4230,plain,
! [X0,X1,X2,X3] :
( ! [X8] :
( ! [X11] : s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X11))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X8))),s(fun(cart(real,X1),bool),X11)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X8))))
| ? [X9,X10] :
( s(cart(real,X1),X9) != s(cart(real,X1),X10)
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X9))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X10))) ) )
| ? [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5))))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4)))) )
| ? [X6,X7] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X6))),s(fun(cart(real,X0),bool),X7))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X6)))) ) ),
inference(flattening,[],[f4229]) ).
fof(f6161,definition,
! [X0,X1,X2,X3] :
( ? [X6,X7] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X6))),s(fun(cart(real,X0),bool),X7))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X6)))) )
| ~ sP11(X0,X1,X2,X3) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f6162,plain,
! [X0,X1,X2,X3] :
( ! [X8] :
( ! [X11] : s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X11))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X8))),s(fun(cart(real,X1),bool),X11)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X8))))
| ? [X9,X10] :
( s(cart(real,X1),X9) != s(cart(real,X1),X10)
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X9))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X8),s(cart(real,X1),X10))) ) )
| ? [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5))))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4)))) )
| sP11(X0,X1,X2,X3) ),
inference(definition_folding,[],[f4230,f6161]) ).
fof(f6386,plain,
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK146))) != s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),sK146)))))
& ! [X6,X7] :
( p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),X6))),s(fun(cart(real,sK142),bool),X7))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X7))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),X6)))) )
& ! [X8,X9] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK141),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK141),cart(real,sK142)),fun(fun(cart(real,sK141),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK141),cart(real,sK142)),X8))),s(fun(cart(real,sK141),bool),X9))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),X9))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),cart(real,sK142)),bool),linear),s(fun(cart(real,sK141),cart(real,sK142)),X8)))) )
& p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145))))
& ! [X10,X11] :
( s(cart(real,sK142),X10) = s(cart(real,sK142),X11)
| s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),X10))) != s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),X11))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK141,sK142,sK143,sK144,sK145,sK146]),skolemize(X0,sK141),skolemize(X1,sK142),skolemize(X2,sK143),skolemize(X3,sK144),skolemize(X4,sK145),skolemize(X5,sK146)],[f4180]) ).
fof(f6652,plain,
! [X0,X1,X2,X3] :
( ? [X6,X7] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X6))),s(fun(cart(real,X0),bool),X7))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X7))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X6)))) )
| ~ sP11(X0,X1,X2,X3) ),
inference(nnf_transformation,[],[f6161]) ).
fof(f6653,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),X4))),s(fun(cart(real,X0),bool),X5))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X4)))) )
| ~ sP11(X0,X1,X2,X3) ),
inference(rectify,[],[f6652]) ).
fof(f6654,plain,
! [X0,X1,X2,X3] :
( ( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),sK313(X0,X1,X2,X3)))),s(fun(cart(real,X0),bool),sK314(X0,X1,X2,X3)))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),sK314(X0,X1,X2,X3)))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),sK313(X0,X1,X2,X3))))) )
| ~ sP11(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK313,sK314]),skolemize(X4,sK313(X0,X1,X2,X3)),skolemize(X5,sK314(X0,X1,X2,X3))],[f6653]) ).
fof(f6655,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] : s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| ? [X6,X7] :
( s(cart(real,X1),X6) != s(cart(real,X1),X7)
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X6))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),X7))) ) )
| ? [X8,X9] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X8))),s(fun(cart(real,X1),bool),X9))))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X9))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X8)))) )
| sP11(X0,X1,X2,X3) ),
inference(rectify,[],[f6162]) ).
fof(f6656,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] : s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| ( s(cart(real,X1),sK315(X0,X1,X4)) != s(cart(real,X1),sK316(X0,X1,X4))
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK315(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK316(X0,X1,X4)))) ) )
| ( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),sK317(X0,X1,X2,X3)))),s(fun(cart(real,X1),bool),sK318(X0,X1,X2,X3)))))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),sK318(X0,X1,X2,X3)))))
& p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),sK317(X0,X1,X2,X3))))) )
| sP11(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK315,sK316,sK317,sK318]),skolemize(X6,sK315(X0,X1,X4)),skolemize(X7,sK316(X0,X1,X4)),skolemize(X8,sK317(X0,X1,X2,X3)),skolemize(X9,sK318(X0,X1,X2,X3))],[f6655]) ).
fof(f9513,plain,
! [X10,X11] :
( s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),X10))) != s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),X11)))
| s(cart(real,sK142),X10) = s(cart(real,sK142),X11) ),
inference(cnf_transformation,[],[f6386]) ).
fof(f9514,plain,
p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145)))),
inference(cnf_transformation,[],[f6386]) ).
fof(f9515,plain,
! [X8,X9] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK141),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK141),cart(real,sK142)),fun(fun(cart(real,sK141),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK141),cart(real,sK142)),X8))),s(fun(cart(real,sK141),bool),X9))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),X9))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),cart(real,sK142)),bool),linear),s(fun(cart(real,sK141),cart(real,sK142)),X8)))) ),
inference(cnf_transformation,[],[f6386]) ).
fof(f9516,plain,
! [X6,X7] :
( p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),X6))),s(fun(cart(real,sK142),bool),X7))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X7))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),X6)))) ),
inference(cnf_transformation,[],[f6386]) ).
fof(f9517,plain,
s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK146))) != s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),sK146))))),
inference(cnf_transformation,[],[f6386]) ).
fof(f9866,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),sK313(X0,X1,X2,X3)))))
| ~ sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6654]) ).
fof(f9867,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),sK314(X0,X1,X2,X3)))))
| ~ sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6654]) ).
fof(f9868,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(fun(cart(real,X0),bool),fun(cart(real,X1),bool))),image),s(fun(cart(real,X0),cart(real,X1)),sK313(X0,X1,X2,X3)))),s(fun(cart(real,X0),bool),sK314(X0,X1,X2,X3)))))))
| ~ sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6654]) ).
fof(f9869,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK315(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK316(X0,X1,X4))))
| p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),sK317(X0,X1,X2,X3)))))
| sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6656]) ).
fof(f9870,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK315(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK316(X0,X1,X4))))
| p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),sK318(X0,X1,X2,X3)))))
| sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6656]) ).
fof(f9871,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),sK317(X0,X1,X2,X3)))),s(fun(cart(real,X1),bool),sK318(X0,X1,X2,X3)))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK315(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK316(X0,X1,X4))))
| s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6656]) ).
fof(f9872,plain,
! [X2,X3,X0,X1,X4,X5] :
( s(cart(real,X1),sK315(X0,X1,X4)) != s(cart(real,X1),sK316(X0,X1,X4))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),sK317(X0,X1,X2,X3)))))
| sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6656]) ).
fof(f9873,plain,
! [X2,X3,X0,X1,X4,X5] :
( s(cart(real,X1),sK315(X0,X1,X4)) != s(cart(real,X1),sK316(X0,X1,X4))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),sK318(X0,X1,X2,X3)))))
| sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6656]) ).
fof(f9874,plain,
! [X2,X3,X0,X1,X4,X5] :
( s(cart(real,X1),sK315(X0,X1,X4)) != s(cart(real,X1),sK316(X0,X1,X4))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X4))))
| s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),X5))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),X4))),s(fun(cart(real,X1),bool),X5)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(fun(cart(real,X1),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X1),cart(real,X0)),sK317(X0,X1,X2,X3)))),s(fun(cart(real,X1),bool),sK318(X0,X1,X2,X3)))))))
| sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6656]) ).
fof(f18335,plain,
! [X0] :
( ~ sP11(sK141,sK142,sK143,X0)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),sK314(sK141,sK142,sK143,X0)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),cart(real,sK142)),bool),linear),s(fun(cart(real,sK141),cart(real,sK142)),sK313(sK141,sK142,sK143,X0))))) ),
inference(resolution,[],[f9868,f9515]) ).
fof(f18342,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),X0))))
| s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),X0),s(cart(real,sK142),sK315(sK141,sK142,X0)))) = s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),X0),s(cart(real,sK142),sK316(sK141,sK142,X0))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),X0))),s(fun(cart(real,sK142),bool),X2)))))
| sP11(sK141,sK142,X1,sK144)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X1,sK144)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X1,sK144))))) ),
inference(resolution,[],[f9871,f9516]) ).
fof(f18343,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),X0))))
| s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),X0),s(cart(real,sK142),sK315(sK141,sK142,X0)))) = s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),X0),s(cart(real,sK142),sK316(sK141,sK142,X0))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),X0))),s(fun(cart(real,sK142),bool),X2)))))
| sP11(sK141,sK142,X1,sK144)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X1,sK144))))) ),
inference(forward_subsumption_resolution,[],[f18342,f9869]) ).
fof(f18349,plain,
! [X2,X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK315(sK141,sK142,sK145)))) = s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK316(sK141,sK142,sK145))))
| p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2) ),
inference(resolution,[],[f9870,f9514]) ).
fof(f18523,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),sK314(sK141,sK142,sK143,X0)))))
| ~ sP11(sK141,sK142,sK143,X0) ),
inference(forward_subsumption_resolution,[],[f18335,f9866]) ).
fof(f18525,definition,
( spl3275_176
<=> s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK315(sK141,sK142,sK145)))) = s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK316(sK141,sK142,sK145)))) ),
introduced(definition,[new_symbols(definition,[spl3275_176])],[avatar_definition]) ).
fof(f18526,plain,
( s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK315(sK141,sK142,sK145)))) != s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK316(sK141,sK142,sK145))))
| spl3275_176 ),
inference(avatar_component_clause,[],[f18525]) ).
fof(f18527,plain,
( s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK315(sK141,sK142,sK145)))) = s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK316(sK141,sK142,sK145))))
| ~ spl3275_176 ),
inference(avatar_component_clause,[],[f18525]) ).
fof(f18529,definition,
( spl3275_177
<=> ! [X2,X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| sP11(sK141,sK142,X0,X2)
| p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2))))) ) ),
introduced(definition,[new_symbols(definition,[spl3275_177])],[avatar_definition]) ).
fof(f18530,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3275_177 ),
inference(avatar_component_clause,[],[f18529]) ).
fof(f18531,plain,
( spl3275_176
| spl3275_177 ),
inference(avatar_split_clause,[],[f18349,f18529,f18525]) ).
fof(f18539,definition,
( spl3275_178
<=> ! [X2,X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| sP11(sK141,sK142,X0,X2)
| p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2))))) ) ),
introduced(definition,[new_symbols(definition,[spl3275_178])],[avatar_definition]) ).
fof(f18540,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3275_178 ),
inference(avatar_component_clause,[],[f18539]) ).
fof(f18574,plain,
( ! [X0] :
( s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),X0))) != s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK315(sK141,sK142,sK145))))
| s(cart(real,sK142),X0) = s(cart(real,sK142),sK316(sK141,sK142,sK145)) )
| ~ spl3275_176 ),
inference(superposition,[],[f9513,f18527]) ).
fof(f18594,plain,
( ~ sP11(sK141,sK142,sK143,sK144)
| ~ sP11(sK141,sK142,sK143,sK144) ),
inference(resolution,[],[f18523,f9867]) ).
fof(f18596,plain,
~ sP11(sK141,sK142,sK143,sK144),
inference(duplicate_literal_removal,[],[f18594]) ).
fof(f18599,plain,
( s(cart(real,sK142),sK315(sK141,sK142,sK145)) = s(cart(real,sK142),sK316(sK141,sK142,sK145))
| ~ spl3275_176 ),
inference(equality_resolution,[],[f18574]) ).
fof(f18600,plain,
( ! [X2,X0,X1] :
( s(cart(real,sK142),sK315(sK141,sK142,sK145)) != s(cart(real,sK142),sK315(sK141,sK142,sK145))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(superposition,[],[f9872,f18599]) ).
fof(f18601,plain,
( ! [X2,X0,X1] :
( s(cart(real,sK142),sK315(sK141,sK142,sK145)) != s(cart(real,sK142),sK315(sK141,sK142,sK145))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(superposition,[],[f9873,f18599]) ).
fof(f18602,plain,
( ! [X2,X0,X1] :
( s(cart(real,sK142),sK315(sK141,sK142,sK145)) != s(cart(real,sK142),sK315(sK141,sK142,sK145))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2)))),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(superposition,[],[f9874,f18599]) ).
fof(f18613,plain,
( ! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2)))),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(trivial_inequality_removal,[],[f18602]) ).
fof(f18614,plain,
( ! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(trivial_inequality_removal,[],[f18601]) ).
fof(f18615,plain,
( ! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK145))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(trivial_inequality_removal,[],[f18600]) ).
fof(f18616,plain,
( ! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2)))),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(forward_subsumption_resolution,[],[f18613,f9514]) ).
fof(f18617,plain,
( ! [X2,X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(forward_subsumption_resolution,[],[f18614,f9514]) ).
fof(f18618,plain,
( ! [X2,X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),X2),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,X2)))))
| sP11(sK141,sK142,X0,X2) )
| ~ spl3275_176 ),
inference(forward_subsumption_resolution,[],[f18615,f9514]) ).
fof(f18619,plain,
( spl3275_177
| ~ spl3275_176 ),
inference(avatar_split_clause,[],[f18617,f18525,f18529]) ).
fof(f18620,plain,
( spl3275_178
| ~ spl3275_176 ),
inference(avatar_split_clause,[],[f18618,f18525,f18539]) ).
fof(f18649,plain,
( ! [X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| sP11(sK141,sK142,X0,sK144)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,sK144)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK141)),bool),linear),s(fun(cart(real,sK142),cart(real,sK141)),sK317(sK141,sK142,X0,sK144))))) )
| ~ spl3275_176 ),
inference(resolution,[],[f18616,f9516]) ).
fof(f18663,plain,
( ! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,sK144)))))
| sP11(sK141,sK142,X0,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3275_176
| ~ spl3275_178 ),
inference(forward_subsumption_resolution,[],[f18649,f18540]) ).
fof(f18668,plain,
( ! [X0,X1] :
( sP11(sK141,sK142,sK143,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X0))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X0)))))
| sP11(sK141,sK142,sK143,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3275_176
| ~ spl3275_177
| ~ spl3275_178 ),
inference(resolution,[],[f18530,f18663]) ).
fof(f18676,plain,
( ! [X0,X1] :
( sP11(sK141,sK142,sK143,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X0))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X0)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3275_176
| ~ spl3275_177
| ~ spl3275_178 ),
inference(duplicate_literal_removal,[],[f18668]) ).
fof(f18679,plain,
( ! [X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X0))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X0)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3275_176
| ~ spl3275_177
| ~ spl3275_178 ),
inference(forward_subsumption_resolution,[],[f18676,f18596]) ).
fof(f18682,definition,
( spl3275_181
<=> ! [X1] : s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) ),
introduced(definition,[new_symbols(definition,[spl3275_181])],[avatar_definition]) ).
fof(f18683,plain,
( ! [X1] : s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| ~ spl3275_181 ),
inference(avatar_component_clause,[],[f18682]) ).
fof(f18684,plain,
( spl3275_181
| spl3275_181
| ~ spl3275_176
| ~ spl3275_177
| ~ spl3275_178 ),
inference(avatar_split_clause,[],[f18679,f18539,f18529,f18525,f18682,f18682]) ).
fof(f18690,plain,
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK146))) != s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK146)))
| ~ spl3275_181 ),
inference(superposition,[],[f9517,f18683]) ).
fof(f18695,plain,
( $false
| ~ spl3275_181 ),
inference(trivial_inequality_removal,[],[f18690]) ).
fof(f18696,plain,
~ spl3275_181,
inference(avatar_contradiction_clause,[],[f18695]) ).
fof(f18759,plain,
! [X0,X1] :
( s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK315(sK141,sK142,sK145)))) = s(cart(real,sK141),i(s(fun(cart(real,sK142),cart(real,sK141)),sK145),s(cart(real,sK142),sK316(sK141,sK142,sK145))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1)))))
| sP11(sK141,sK142,X0,sK144)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,sK144))))) ),
inference(resolution,[],[f18343,f9514]) ).
fof(f18764,plain,
( ! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK318(sK141,sK142,X0,sK144)))))
| sP11(sK141,sK142,X0,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| spl3275_176 ),
inference(forward_subsumption_resolution,[],[f18759,f18526]) ).
fof(f18766,plain,
( ! [X0,X1] :
( sP11(sK141,sK142,sK143,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X0))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X0)))))
| sP11(sK141,sK142,sK143,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| spl3275_176
| ~ spl3275_177 ),
inference(resolution,[],[f18764,f18530]) ).
fof(f18768,plain,
( ! [X0,X1] :
( sP11(sK141,sK142,sK143,sK144)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X0))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X0)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| spl3275_176
| ~ spl3275_177 ),
inference(duplicate_literal_removal,[],[f18766]) ).
fof(f18769,plain,
( ! [X0,X1] :
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X0))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X0)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X1))) = s(bool,i(s(fun(fun(cart(real,sK141),bool),bool),sK144),s(fun(cart(real,sK141),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK141)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK141),bool))),image),s(fun(cart(real,sK142),cart(real,sK141)),sK145))),s(fun(cart(real,sK142),bool),X1))))) )
| spl3275_176
| ~ spl3275_177 ),
inference(forward_subsumption_resolution,[],[f18768,f18596]) ).
fof(f18770,plain,
( spl3275_181
| spl3275_181
| spl3275_176
| ~ spl3275_177 ),
inference(avatar_split_clause,[],[f18769,f18529,f18525,f18682,f18682]) ).
cnf(s182,plain,
( spl3275_176
| spl3275_177 ),
inference(sat_conversion,[],[f18531]) ).
cnf(s185,plain,
( ~ spl3275_176
| spl3275_177 ),
inference(sat_conversion,[],[f18619]) ).
cnf(s186,plain,
( ~ spl3275_176
| spl3275_178 ),
inference(sat_conversion,[],[f18620]) ).
cnf(s189,plain,
( spl3275_181
| ~ spl3275_177
| ~ spl3275_178
| ~ spl3275_176
| spl3275_181 ),
inference(sat_conversion,[],[f18684]) ).
cnf(s190,plain,
( ~ spl3275_176
| ~ spl3275_177
| ~ spl3275_178
| spl3275_181 ),
inference(rat,[],[s189]) ).
cnf(s191,plain,
~ spl3275_181,
inference(sat_conversion,[],[f18696]) ).
cnf(s194,plain,
( spl3275_181
| ~ spl3275_177
| spl3275_176
| spl3275_181 ),
inference(sat_conversion,[],[f18770]) ).
cnf(s195,plain,
( spl3275_176
| ~ spl3275_177
| spl3275_181 ),
inference(rat,[],[s194]) ).
cnf(s196,plain,
( ~ spl3275_176
| ~ spl3275_177
| ~ spl3275_178 ),
inference(rat,[],[s190,s191]) ).
cnf(s216,plain,
spl3275_176,
inference(rat,[],[s182,s195,s191]) ).
cnf(s217,plain,
spl3275_178,
inference(rat,[],[s186,s216]) ).
cnf(s218,plain,
spl3275_177,
inference(rat,[],[s185,s216]) ).
cnf(s219,plain,
$false,
inference(rat,[],[s196,s216,s217,s218]) ).
fof(f18771,plain,
$false,
inference(avatar_sat_refutation,[],[s219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO478+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:22:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 12.42/3.69 % (1343487)Detected formulas, will run a generic FOF schedule.
% 12.42/3.69 % (1343494)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=151145275:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 12.42/3.69 % (1343498)dis-21_1_sil=8000:lcm=predicate:random_seed=472020721:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 12.42/3.69 % (1343496)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3714554211:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 12.42/3.69 % (1343493)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=2173287942:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 12.42/3.69 % (1343492)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=3516137533:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 12.42/3.69 % (1343495)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2207262705:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 12.42/3.69 % (1343497)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2537912794:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 12.42/3.69 % (1343497)Instruction limit reached!
% 12.42/3.69 % (1343497)------------------------------
% 12.42/3.69 % (1343497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.69 % (1343497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.69 % (1343497)CaDiCaL version: 2.1.3
% 12.42/3.69 % (1343497)Termination reason: Instruction limit
% 12.42/3.69 % (1343497)Termination phase: Property scanning
% 12.42/3.69 % (1343497)Time elapsed: 0.048 s
% 12.42/3.69 % (1343497)Peak memory usage: 90 MB
% 12.42/3.69 % (1343497)Instructions burned: 141 (million)
% 12.42/3.69 % (1343495)Instruction limit reached!
% 12.42/3.69 % (1343495)------------------------------
% 12.42/3.69 % (1343495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.69 % (1343495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.69 % (1343495)CaDiCaL version: 2.1.3
% 12.42/3.69 % (1343495)Termination reason: Instruction limit
% 12.42/3.69 % (1343495)Termination phase: Property scanning
% 12.42/3.69 % (1343495)Time elapsed: 0.058 s
% 12.42/3.69 % (1343495)Peak memory usage: 93 MB
% 12.42/3.69 % (1343495)Instructions burned: 110 (million)
% 12.42/3.69 % (1343498)Instruction limit reached!
% 12.42/3.69 % (1343498)------------------------------
% 12.42/3.69 % (1343498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.69 % (1343498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.69 % (1343498)CaDiCaL version: 2.1.3
% 12.42/3.69 % (1343498)Termination reason: Instruction limit
% 12.42/3.69 % (1343498)Termination phase: SInE selection
% 12.42/3.69 % (1343498)Time elapsed: 0.061 s
% 12.42/3.69 % (1343498)Peak memory usage: 90 MB
% 12.42/3.69 % (1343498)Instructions burned: 129 (million)
% 12.42/3.69 % (1343496)Instruction limit reached!
% 12.42/3.69 % (1343496)------------------------------
% 12.42/3.69 % (1343496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/3.69 % (1343496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/3.69 % (1343496)CaDiCaL version: 2.1.3
% 12.42/3.69 % (1343496)Termination reason: Instruction limit
% 12.42/3.69 % (1343496)Termination phase: Preprocessing 3
% 12.42/3.69 % (1343496)Time elapsed: 0.062 s
% 12.42/3.69 % (1343496)Peak memory usage: 92 MB
% 12.42/3.69 % (1343496)Instructions burned: 119 (million)
% 12.42/3.69 % (1343506)lrs+10_1_sil=8000:sp=occurrence:random_seed=272501330:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.42/3.69 % (1343507)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2075285059:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 12.42/3.69 % (1343509)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=2788389044:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 12.42/3.69 % (1343508)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1593304514:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.42/3.69 % (1343507)Instruction limit reached!
% 19.84/4.74 % (1343507)------------------------------
% 19.84/4.74 % (1343507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.74 % (1343507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.74 % (1343507)CaDiCaL version: 2.1.3
% 19.84/4.74 % (1343507)Termination reason: Instruction limit
% 19.84/4.74 % (1343507)Termination phase: Property scanning
% 19.84/4.74 % (1343507)Time elapsed: 0.056 s
% 19.84/4.74 % (1343507)Peak memory usage: 90 MB
% 19.84/4.74 % (1343507)Instructions burned: 158 (million)
% 19.84/4.74 % (1343509)Instruction limit reached!
% 19.84/4.74 % (1343509)------------------------------
% 19.84/4.74 % (1343509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.74 % (1343509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.74 % (1343509)CaDiCaL version: 2.1.3
% 19.84/4.74 % (1343509)Termination reason: Instruction limit
% 19.84/4.74 % (1343509)Termination phase: Property scanning
% 19.84/4.74 % (1343509)Time elapsed: 0.084 s
% 19.84/4.74 % (1343509)Peak memory usage: 90 MB
% 19.84/4.74 % (1343509)Instructions burned: 248 (million)
% 19.84/4.74 % (1343506)Instruction limit reached!
% 19.84/4.74 % (1343506)------------------------------
% 19.84/4.74 % (1343506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.74 % (1343506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.74 % (1343506)CaDiCaL version: 2.1.3
% 19.84/4.74 % (1343506)Termination reason: Instruction limit
% 19.84/4.74 % (1343506)Termination phase: Saturation
% 19.84/4.74 % (1343506)Time elapsed: 0.135 s
% 19.84/4.74 % (1343506)Peak memory usage: 96 MB
% 19.84/4.74 % (1343506)Instructions burned: 286 (million)
% 19.84/4.74 % (1343508)Instruction limit reached!
% 19.84/4.74 % (1343508)------------------------------
% 19.84/4.74 % (1343508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.74 % (1343508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.74 % (1343508)CaDiCaL version: 2.1.3
% 19.84/4.74 % (1343508)Termination reason: Instruction limit
% 19.84/4.74 % (1343508)Termination phase: Saturation
% 19.84/4.74 % (1343508)Time elapsed: 0.164 s
% 19.84/4.74 % (1343508)Peak memory usage: 96 MB
% 19.84/4.74 % (1343508)Instructions burned: 326 (million)
% 19.84/4.74 % (1343514)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3283829152:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 19.84/4.74 % (1343515)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3415615829:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 19.84/4.74 % (1343516)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=510960584:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 19.84/4.74 % (1343516)Instruction limit reached!
% 19.84/4.74 % (1343516)------------------------------
% 19.84/4.74 % (1343516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.74 % (1343516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.74 % (1343516)CaDiCaL version: 2.1.3
% 19.84/4.74 % (1343516)Termination reason: Instruction limit
% 19.84/4.74 % (1343516)Termination phase: Preprocessing 1
% 19.84/4.74 % (1343516)Time elapsed: 0.059 s
% 19.84/4.74 % (1343516)Peak memory usage: 91 MB
% 19.84/4.74 % (1343516)Instructions burned: 113 (million)
% 19.84/4.74 % (1343517)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=912096134:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 19.84/4.74 % (1343514)Instruction limit reached!
% 19.84/4.74 % (1343514)------------------------------
% 19.84/4.74 % (1343514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.74 % (1343514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.74 % (1343514)CaDiCaL version: 2.1.3
% 19.84/4.74 % (1343514)Termination reason: Instruction limit
% 19.84/4.74 % (1343514)Termination phase: Preprocessing 3
% 19.84/4.74 % (1343514)Time elapsed: 0.149 s
% 19.84/4.74 % (1343514)Peak memory usage: 95 MB
% 19.84/4.74 % (1343514)Instructions burned: 294 (million)
% 19.84/4.74 % (1343517)Instruction limit reached!
% 19.84/4.74 % (1343517)------------------------------
% 19.84/4.74 % (1343517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/4.74 % (1343517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/4.74 % (1343517)CaDiCaL version: 2.1.3
% 19.84/4.74 % (1343517)Termination reason: Instruction limit
% 55.52/9.68 % (1343517)Termination phase: Naming
% 55.52/9.68 % (1343517)Time elapsed: 0.073 s
% 55.52/9.68 % (1343517)Peak memory usage: 94 MB
% 55.52/9.68 % (1343517)Instructions burned: 129 (million)
% 55.52/9.68 % (1343521)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4192404792:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 55.52/9.68 % (1343521)Instruction limit reached!
% 55.52/9.68 % (1343521)------------------------------
% 55.52/9.68 % (1343521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.52/9.68 % (1343521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.52/9.68 % (1343521)CaDiCaL version: 2.1.3
% 55.52/9.68 % (1343521)Termination reason: Instruction limit
% 55.52/9.68 % (1343521)Termination phase: Property scanning
% 55.52/9.68 % (1343521)Time elapsed: 0.041 s
% 55.52/9.68 % (1343521)Peak memory usage: 90 MB
% 55.52/9.68 % (1343521)Instructions burned: 117 (million)
% 55.52/9.68 % (1343523)lrs+10_1_sil=8000:sp=occurrence:random_seed=1890024797:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 55.52/9.68 % (1343524)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=754213408:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 55.52/9.68 % (1343526)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3823923708:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 55.52/9.68 % (1343524)Instruction limit reached!
% 55.52/9.68 % (1343524)------------------------------
% 55.52/9.68 % (1343524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.52/9.68 % (1343524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.52/9.68 % (1343524)CaDiCaL version: 2.1.3
% 55.52/9.68 % (1343524)Termination reason: Instruction limit
% 55.52/9.68 % (1343524)Termination phase: Preprocessing 3
% 55.52/9.68 % (1343524)Time elapsed: 0.218 s
% 55.52/9.68 % (1343524)Peak memory usage: 100 MB
% 55.52/9.68 % (1343524)Instructions burned: 438 (million)
% 55.52/9.68 % (1343523)Instruction limit reached!
% 55.52/9.68 % (1343523)------------------------------
% 55.52/9.68 % (1343523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.52/9.68 % (1343523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.52/9.68 % (1343523)CaDiCaL version: 2.1.3
% 55.52/9.68 % (1343523)Termination reason: Instruction limit
% 55.52/9.68 % (1343523)Termination phase: Saturation
% 55.52/9.68 % (1343523)Time elapsed: 0.397 s
% 55.52/9.68 % (1343523)Peak memory usage: 101 MB
% 55.52/9.68 % (1343523)Instructions burned: 908 (million)
% 55.52/9.68 % (1343530)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=880999146:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 55.52/9.68 % (1343530)Instruction limit reached!
% 55.52/9.68 % (1343530)------------------------------
% 55.52/9.68 % (1343530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.52/9.68 % (1343530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.52/9.68 % (1343530)CaDiCaL version: 2.1.3
% 55.52/9.68 % (1343530)Termination reason: Instruction limit
% 55.52/9.68 % (1343530)Termination phase: Preprocessing 1
% 55.52/9.68 % (1343530)Time elapsed: 0.074 s
% 55.52/9.68 % (1343530)Peak memory usage: 91 MB
% 55.52/9.68 % (1343530)Instructions burned: 135 (million)
% 55.52/9.68 % (1343531)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3676097880:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 55.52/9.68 % (1343515)Instruction limit reached!
% 55.52/9.68 % (1343515)------------------------------
% 55.52/9.68 % (1343515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.52/9.68 % (1343515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.52/9.68 % (1343515)CaDiCaL version: 2.1.3
% 55.52/9.68 % (1343515)Termination reason: Instruction limit
% 55.52/9.68 % (1343515)Termination phase: Twee Goal Transformation
% 55.52/9.68 % (1343515)Time elapsed: 0.896 s
% 55.52/9.68 % (1343515)Peak memory usage: 106 MB
% 55.52/9.68 % (1343515)Instructions burned: 2351 (million)
% 55.52/9.68 % (1343533)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=604961341:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 55.52/9.68 % (1343535)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=1457643868:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 26.69/10.07 % (1343535)Instruction limit reached!
% 26.69/10.07 % (1343535)------------------------------
% 26.69/10.07 % (1343535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343535)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343535)Termination reason: Instruction limit
% 26.69/10.07 % (1343535)Termination phase: Property scanning
% 26.69/10.07 % (1343535)Time elapsed: 0.045 s
% 26.69/10.07 % (1343535)Peak memory usage: 90 MB
% 26.69/10.07 % (1343535)Instructions burned: 128 (million)
% 26.69/10.07 % (1343531)Instruction limit reached!
% 26.69/10.07 % (1343531)------------------------------
% 26.69/10.07 % (1343531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343531)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343531)Termination reason: Instruction limit
% 26.69/10.07 % (1343531)Termination phase: Preprocessing 3
% 26.69/10.07 % (1343531)Time elapsed: 0.303 s
% 26.69/10.07 % (1343531)Peak memory usage: 101 MB
% 26.69/10.07 % (1343531)Instructions burned: 593 (million)
% 26.69/10.07 % (1343538)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1828103082:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 26.69/10.07 % (1343539)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=34590398:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 26.69/10.07 % (1343538)Instruction limit reached!
% 26.69/10.07 % (1343538)------------------------------
% 26.69/10.07 % (1343538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343538)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343538)Termination reason: Instruction limit
% 26.69/10.07 % (1343538)Termination phase: Property scanning
% 26.69/10.07 % (1343538)Time elapsed: 0.047 s
% 26.69/10.07 % (1343538)Peak memory usage: 90 MB
% 26.69/10.07 % (1343538)Instructions burned: 136 (million)
% 26.69/10.07 % (1343539)Instruction limit reached!
% 26.69/10.07 % (1343539)------------------------------
% 26.69/10.07 % (1343539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343539)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343539)Termination reason: Instruction limit
% 26.69/10.07 % (1343539)Termination phase: General splitting
% 26.69/10.07 % (1343539)Time elapsed: 0.072 s
% 26.69/10.07 % (1343539)Peak memory usage: 93 MB
% 26.69/10.07 % (1343539)Instructions burned: 142 (million)
% 26.69/10.07 % (1343542)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1611031215:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 26.69/10.07 % (1343543)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=3989543254:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 26.69/10.07 % (1343542)Refutation not found, incomplete strategy
% 26.69/10.07 % (1343542)------------------------------
% 26.69/10.07 % (1343542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343542)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343542)Termination reason: Refutation not found, incomplete strategy
% 26.69/10.07 % (1343542)Time elapsed: 0.096 s
% 26.69/10.07 % (1343542)Peak memory usage: 96 MB
% 26.69/10.07 % (1343542)Instructions burned: 184 (million)
% 26.69/10.07 % (1343542)------------------------------
% 26.69/10.07 % (1343542)------------------------------
% 26.69/10.07 % (1343546)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=4287151445:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 26.69/10.07 % (1343546)Instruction limit reached!
% 26.69/10.07 % (1343546)------------------------------
% 26.69/10.07 % (1343546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343546)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343546)Termination reason: Instruction limit
% 26.69/10.07 % (1343546)Termination phase: Preprocessing 1
% 26.69/10.07 % (1343546)Time elapsed: 0.083 s
% 26.69/10.07 % (1343546)Peak memory usage: 92 MB
% 26.69/10.07 % (1343546)Instructions burned: 151 (million)
% 26.69/10.07 % (1343548)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=421321611:i=14155:bd=all_2961 on theBenchmark for (2961ds/14155Mi)
% 26.69/10.07 % (1343526)Instruction limit reached!
% 26.69/10.07 % (1343526)------------------------------
% 26.69/10.07 % (1343526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343526)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343526)Termination reason: Instruction limit
% 26.69/10.07 % (1343526)Termination phase: Saturation
% 26.69/10.07 % (1343526)Time elapsed: 2.946 s
% 26.69/10.07 % (1343526)Peak memory usage: 168 MB
% 26.69/10.07 % (1343526)Instructions burned: 5203 (million)
% 26.69/10.07 % (1343550)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=995932836:i=667:av=off:fsr=off_2948 on theBenchmark for (2948ds/667Mi)
% 26.69/10.07 % (1343550)Instruction limit reached!
% 26.69/10.07 % (1343550)------------------------------
% 26.69/10.07 % (1343550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343550)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343550)Termination reason: Instruction limit
% 26.69/10.07 % (1343550)Termination phase: Property scanning
% 26.69/10.07 % (1343550)Time elapsed: 0.338 s
% 26.69/10.07 % (1343550)Peak memory usage: 103 MB
% 26.69/10.07 % (1343550)Instructions burned: 670 (million)
% 26.69/10.07 % (1343552)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=817912153:s2a=on:i=185:s2at=1.8:fdi=4_2943 on theBenchmark for (2943ds/185Mi)
% 26.69/10.07 % (1343552)Instruction limit reached!
% 26.69/10.07 % (1343552)------------------------------
% 26.69/10.07 % (1343552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343552)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343552)Termination reason: Instruction limit
% 26.69/10.07 % (1343552)Termination phase: Preprocessing 1
% 26.69/10.07 % (1343552)Time elapsed: 0.097 s
% 26.69/10.07 % (1343552)Peak memory usage: 91 MB
% 26.69/10.07 % (1343552)Instructions burned: 186 (million)
% 26.69/10.07 % (1343554)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=635002973:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2940 on theBenchmark for (2940ds/193Mi)
% 26.69/10.07 % (1343554)Instruction limit reached!
% 26.69/10.07 % (1343554)------------------------------
% 26.69/10.07 % (1343554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343554)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343554)Termination reason: Instruction limit
% 26.69/10.07 % (1343554)Termination phase: Preprocessing 3
% 26.69/10.07 % (1343554)Time elapsed: 0.104 s
% 26.69/10.07 % (1343554)Peak memory usage: 92 MB
% 26.69/10.07 % (1343554)Instructions burned: 193 (million)
% 26.69/10.07 % (1343556)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=388310364:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2937 on theBenchmark for (2937ds/4850Mi)
% 26.69/10.07 % (1343543)Instruction limit reached!
% 26.69/10.07 % (1343543)------------------------------
% 26.69/10.07 % (1343543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343543)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343543)Termination reason: Instruction limit
% 26.69/10.07 % (1343543)Termination phase: Saturation
% 26.69/10.07 % (1343543)Time elapsed: 3.643 s
% 26.69/10.07 % (1343543)Peak memory usage: 412 MB
% 26.69/10.07 % (1343543)Instructions burned: 6062 (million)
% 26.69/10.07 % (1343558)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4074865968:i=12111:sd=1:ss=included_2929 on theBenchmark for (2929ds/12111Mi)
% 26.69/10.07 % (1343533)First to succeed.
% 26.69/10.07 % (1343533)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1343487"
% 26.69/10.07 % (1343556)Instruction limit reached!
% 26.69/10.07 % (1343556)------------------------------
% 26.69/10.07 % (1343556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.69/10.07 % (1343556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.69/10.07 % (1343556)CaDiCaL version: 2.1.3
% 26.69/10.07 % (1343556)Termination reason: Instruction limit
% 26.69/10.07 % (1343556)Termination phase: Saturation
% 26.69/10.07 % (1343556)Time elapsed: 2.481 s
% 26.69/10.07 % (1343556)Peak memory usage: 135 MB
% 26.69/10.07 % (1343556)Instructions burned: 4851 (million)
% 26.69/10.07 % (1343560)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=922690308:i=319:kws=precedence:fsr=off_2911 on theBenchmark for (2911ds/319Mi)
% 26.69/10.07 % (1343533)Refutation found. Thanks to Tanya!
% 26.69/10.07 % SZS status Theorem for theBenchmark
% 26.69/10.07 % SZS output start Proof for theBenchmark
% See solution above
% 58.84/10.27 % (1343533)------------------------------
% 58.84/10.27 % (1343533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.84/10.27 % (1343533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.84/10.27 % (1343533)CaDiCaL version: 2.1.3
% 58.84/10.27 % (1343533)Termination reason: Refutation
% 58.84/10.27 % (1343533)Time elapsed: 6.083 s
% 58.84/10.27 % (1343533)Peak memory usage: 374 MB
% 58.84/10.27 % (1343533)Instructions burned: 10668 (million)
% 58.84/10.27 % (1343533)------------------------------
% 58.84/10.27 % (1343533)------------------------------
% 58.84/10.27 % (1343487)Success in time 9.218 s
% 58.84/10.27 % Vampire exiting
%------------------------------------------------------------------------------