%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO479+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 41.42s 9.30s
% Output : Refutation 41.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 17 unt; 7 def)
% Number of atoms : 354 ( 98 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 396 ( 140 ~; 193 |; 47 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-4 aty)
% Number of variables : 245 ( 0 sgn 211 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
p(s(bool,t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aTRUTH) ).
fof(f43,axiom,
~ p(s(bool,f0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSsrboolo_notu_falseu_isu_true) ).
fof(f97,axiom,
! [X0] :
( s(bool,X0) = s(bool,t)
| s(bool,X0) = s(bool,f0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aBOOLu_CASESu_AX) ).
fof(f3624,axiom,
! [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(f3626,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X4))),s(fun(cart(real,X0),bool),X5)))))) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X2))))
& ! [X6,X7] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X6))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X7)))
=> s(cart(real,X0),X6) = s(cart(real,X0),X7) ) )
=> s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X2))),s(fun(cart(real,X0),bool),X3))))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aWLOGu_LINEARu_INJECTIVEu_IMAGEu_ALT) ).
fof(f3627,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X5))))
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X4))),s(fun(cart(real,X0),bool),X5)))))) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X2))))
& ! [X6,X7] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X6))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X7)))
=> s(cart(real,X0),X6) = s(cart(real,X0),X7) ) )
=> s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X2))),s(fun(cart(real,X0),bool),X3))))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X3))) ),
inference(negated_conjecture,[status(cth)],[f3626]) ).
fof(f4182,plain,
? [X0,X1,X2,X3] :
( s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X3))) != s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X2))),s(fun(cart(real,X0),bool),X3)))))
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X4))),s(fun(cart(real,X0),bool),X5))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X5))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4)))) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X2))))
& ! [X6,X7] :
( s(cart(real,X0),X6) = s(cart(real,X0),X7)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X6))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X7))) ) ),
inference(ennf_transformation,[],[f3627]) ).
fof(f4183,plain,
? [X0,X1,X2,X3] :
( s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X3))) != s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X2))),s(fun(cart(real,X0),bool),X3)))))
& ! [X4,X5] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),image),s(fun(cart(real,X0),cart(real,X0)),X4))),s(fun(cart(real,X0),bool),X5))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X1),s(fun(cart(real,X0),bool),X5))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4)))) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X2))))
& ! [X6,X7] :
( s(cart(real,X0),X6) = s(cart(real,X0),X7)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X6))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),X7))) ) ),
inference(flattening,[],[f4182]) ).
fof(f4234,plain,
! [X0,X1,X2,X3,X4,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)))
| ? [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,[],[f3624]) ).
fof(f4235,plain,
! [X0,X1,X2,X3,X4,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)))
| ? [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,[],[f4234]) ).
fof(f6168,definition,
! [X0,X1,X2,X3] :
( ? [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)))) )
| ~ sP11(X0,X1,X2,X3) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f6169,plain,
! [X0,X1,X2,X3,X4,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)))
| ? [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)))) )
| sP11(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))))
| ? [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(definition_folding,[],[f4235,f6168]) ).
fof(f6395,plain,
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK145))) != s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),sK145)))))
& ! [X4,X5] :
( 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,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),X4))),s(fun(cart(real,sK142),bool),X5))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X5))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),X4)))) )
& p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))))
& ! [X6,X7] :
( s(cart(real,sK142),X7) = s(cart(real,sK142),X6)
| s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),X6))) != s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),X7))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK142,sK143,sK144,sK145]),skolemize(X0,sK142),skolemize(X1,sK143),skolemize(X2,sK144),skolemize(X3,sK145)],[f4183]) ).
fof(f6663,plain,
! [X0,X1,X2,X3] :
( ? [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)))) )
| ~ sP11(X0,X1,X2,X3) ),
inference(nnf_transformation,[],[f6168]) ).
fof(f6664,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,[],[f6663]) ).
fof(f6665,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)),sK316(X0,X1,X2,X3)))),s(fun(cart(real,X0),bool),sK317(X0,X1,X2,X3)))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),sK317(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)),sK316(X0,X1,X2,X3))))) )
| ~ sP11(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK316,sK317]),skolemize(X4,sK316(X0,X1,X2,X3)),skolemize(X5,sK317(X0,X1,X2,X3))],[f6664]) ).
fof(f6666,plain,
! [X0,X1,X2,X3,X4,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)))
| ? [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)))) )
| sP11(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))))
| ? [X8,X9] :
( s(cart(real,X1),X8) != s(cart(real,X1),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))) ) ),
inference(rectify,[],[f6169]) ).
fof(f6667,plain,
! [X0,X1,X2,X3,X4,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)))
| ( ~ 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)),sK318(X0,X1,X2,X3)))),s(fun(cart(real,X1),bool),sK319(X0,X1,X2,X3)))))))
& p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),sK319(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)),sK318(X0,X1,X2,X3))))) )
| sP11(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,X1),sK320(X0,X1,X4)) != s(cart(real,X1),sK321(X0,X1,X4))
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK320(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK321(X0,X1,X4)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK318,sK319,sK320,sK321]),skolemize(X6,sK318(X0,X1,X2,X3)),skolemize(X7,sK319(X0,X1,X2,X3)),skolemize(X8,sK320(X0,X1,X4)),skolemize(X9,sK321(X0,X1,X4))],[f6666]) ).
fof(f9529,plain,
! [X6,X7] :
( s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),X6))) != s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),X7)))
| s(cart(real,sK142),X7) = s(cart(real,sK142),X6) ),
inference(cnf_transformation,[],[f6395]) ).
fof(f9530,plain,
p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144)))),
inference(cnf_transformation,[],[f6395]) ).
fof(f9531,plain,
! [X4,X5] :
( 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,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),X4))),s(fun(cart(real,sK142),bool),X5))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),X5))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),X4)))) ),
inference(cnf_transformation,[],[f6395]) ).
fof(f9532,plain,
s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK145))) != s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),sK145))))),
inference(cnf_transformation,[],[f6395]) ).
fof(f9887,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)),sK316(X0,X1,X2,X3)))))
| ~ sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6665]) ).
fof(f9888,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),X3),s(fun(cart(real,X0),bool),sK317(X0,X1,X2,X3)))))
| ~ sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6665]) ).
fof(f9889,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)),sK316(X0,X1,X2,X3)))),s(fun(cart(real,X0),bool),sK317(X0,X1,X2,X3)))))))
| ~ sP11(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6665]) ).
fof(f9890,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))))
| p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),sK318(X0,X1,X2,X3)))))
| sP11(X0,X1,X2,X3)
| 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),sK320(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK321(X0,X1,X4)))) ),
inference(cnf_transformation,[],[f6667]) ).
fof(f9891,plain,
! [X2,X3,X0,X1,X4,X5] :
( s(cart(real,X1),sK320(X0,X1,X4)) != s(cart(real,X1),sK321(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)),sK318(X0,X1,X2,X3)))))
| sP11(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(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))))) ),
inference(cnf_transformation,[],[f6667]) ).
fof(f9892,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))))
| p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),sK319(X0,X1,X2,X3)))))
| sP11(X0,X1,X2,X3)
| 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),sK320(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK321(X0,X1,X4)))) ),
inference(cnf_transformation,[],[f6667]) ).
fof(f9893,plain,
! [X2,X3,X0,X1,X4,X5] :
( s(cart(real,X1),sK320(X0,X1,X4)) != s(cart(real,X1),sK321(X0,X1,X4))
| p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),X2),s(fun(cart(real,X1),bool),sK319(X0,X1,X2,X3)))))
| sP11(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(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))))) ),
inference(cnf_transformation,[],[f6667]) ).
fof(f9894,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)),sK318(X0,X1,X2,X3)))),s(fun(cart(real,X1),bool),sK319(X0,X1,X2,X3)))))))
| 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)
| ~ 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),sK320(X0,X1,X4)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X4),s(cart(real,X1),sK321(X0,X1,X4)))) ),
inference(cnf_transformation,[],[f6667]) ).
fof(f9895,plain,
! [X2,X3,X0,X1,X4,X5] :
( s(cart(real,X1),sK320(X0,X1,X4)) != s(cart(real,X1),sK321(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)),sK318(X0,X1,X2,X3)))),s(fun(cart(real,X1),bool),sK319(X0,X1,X2,X3)))))))
| sP11(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(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))))) ),
inference(cnf_transformation,[],[f6667]) ).
fof(f15139,plain,
! [X0] :
( s(bool,X0) = s(bool,f0)
| s(bool,t) = s(bool,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f15203,plain,
p(s(bool,t)),
inference(cnf_transformation,[],[f3]) ).
fof(f15365,plain,
~ p(s(bool,f0)),
inference(cnf_transformation,[],[f43]) ).
fof(f15660,definition,
( spl3284_1
<=> p(s(bool,f0)) ),
introduced(definition,[new_symbols(definition,[spl3284_1])],[avatar_definition]) ).
fof(f15662,plain,
( ~ p(s(bool,f0))
| spl3284_1 ),
inference(avatar_component_clause,[],[f15660]) ).
fof(f15676,plain,
~ spl3284_1,
inference(avatar_split_clause,[],[f15365,f15660]) ).
fof(f18365,plain,
! [X0] :
( ~ sP11(sK142,sK142,sK143,X0)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK317(sK142,sK142,sK143,X0)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK316(sK142,sK142,sK143,X0))))) ),
inference(resolution,[],[f9889,f9531]) ).
fof(f18372,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,X1)))))
| sP11(sK142,sK142,X0,X1)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2)))))
| s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK320(sK142,sK142,sK144)))) = s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK321(sK142,sK142,sK144)))) ),
inference(resolution,[],[f9892,f9530]) ).
fof(f18373,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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),X2))),s(fun(cart(real,sK142),bool),X1)))))
| sP11(sK142,sK142,X0,sK143)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),X2))))
| s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),X2),s(cart(real,sK142),sK320(sK142,sK142,X2)))) = s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),X2),s(cart(real,sK142),sK321(sK142,sK142,X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X0,sK143))))) ),
inference(resolution,[],[f9894,f9531]) ).
fof(f18374,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),X2))))
| sP11(sK142,sK142,X0,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),X2))),s(fun(cart(real,sK142),bool),X1)))))
| s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),X2),s(cart(real,sK142),sK320(sK142,sK142,X2)))) = s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),X2),s(cart(real,sK142),sK321(sK142,sK142,X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143))))) ),
inference(forward_subsumption_resolution,[],[f18373,f9890]) ).
fof(f18697,plain,
! [X0] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK317(sK142,sK142,sK143,X0)))))
| ~ sP11(sK142,sK142,sK143,X0) ),
inference(forward_subsumption_resolution,[],[f18365,f9887]) ).
fof(f18708,definition,
( spl3284_178
<=> s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK320(sK142,sK142,sK144)))) = s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK321(sK142,sK142,sK144)))) ),
introduced(definition,[new_symbols(definition,[spl3284_178])],[avatar_definition]) ).
fof(f18710,plain,
( s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK320(sK142,sK142,sK144)))) = s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK321(sK142,sK142,sK144))))
| ~ spl3284_178 ),
inference(avatar_component_clause,[],[f18708]) ).
fof(f18712,definition,
( spl3284_179
<=> ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,X1)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2)))))
| sP11(sK142,sK142,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl3284_179])],[avatar_definition]) ).
fof(f18713,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,X1)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2)))))
| sP11(sK142,sK142,X0,X1) )
| ~ spl3284_179 ),
inference(avatar_component_clause,[],[f18712]) ).
fof(f18714,plain,
( spl3284_178
| spl3284_179 ),
inference(avatar_split_clause,[],[f18372,f18712,f18708]) ).
fof(f18827,definition,
( spl3284_180
<=> ! [X0] : 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X0))))) ),
introduced(definition,[new_symbols(definition,[spl3284_180])],[avatar_definition]) ).
fof(f18828,plain,
( ! [X0] : 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X0)))))
| ~ spl3284_180 ),
inference(avatar_component_clause,[],[f18827]) ).
fof(f19239,plain,
( p(s(bool,f0))
| s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))) ),
inference(superposition,[],[f9530,f15139]) ).
fof(f19273,plain,
( s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144)))
| spl3284_1 ),
inference(forward_subsumption_resolution,[],[f19239,f15662]) ).
fof(f19478,plain,
( s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK145))) != s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK145)))
| ~ spl3284_180 ),
inference(superposition,[],[f9532,f18828]) ).
fof(f19486,plain,
( $false
| ~ spl3284_180 ),
inference(trivial_inequality_removal,[],[f19478]) ).
fof(f19487,plain,
~ spl3284_180,
inference(avatar_contradiction_clause,[],[f19486]) ).
fof(f19749,plain,
( ~ sP11(sK142,sK142,sK143,sK143)
| ~ sP11(sK142,sK142,sK143,sK143) ),
inference(resolution,[],[f9888,f18697]) ).
fof(f19755,plain,
~ sP11(sK142,sK142,sK143,sK143),
inference(duplicate_literal_removal,[],[f19749]) ).
fof(f19820,definition,
( spl3284_202
<=> ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X0,X1)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2)))))
| sP11(sK142,sK142,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl3284_202])],[avatar_definition]) ).
fof(f19821,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X0,X1)))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2)))))
| sP11(sK142,sK142,X0,X1) )
| ~ spl3284_202 ),
inference(avatar_component_clause,[],[f19820]) ).
fof(f20464,plain,
( ! [X0,X1] :
( ~ p(s(bool,t))
| sP11(sK142,sK142,X0,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1)))))
| s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK320(sK142,sK142,sK144)))) = s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK321(sK142,sK142,sK144))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143))))) )
| spl3284_1 ),
inference(superposition,[],[f18374,f19273]) ).
fof(f20466,plain,
( ! [X0,X1] :
( sP11(sK142,sK142,X0,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1)))))
| s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK320(sK142,sK142,sK144)))) = s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK321(sK142,sK142,sK144))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143))))) )
| spl3284_1 ),
inference(forward_subsumption_resolution,[],[f20464,f15203]) ).
fof(f20468,definition,
( spl3284_209
<=> ! [X0,X1] :
( sP11(sK142,sK142,X0,sK143)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143)))))
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1))))) ) ),
introduced(definition,[new_symbols(definition,[spl3284_209])],[avatar_definition]) ).
fof(f20469,plain,
( ! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143)))))
| sP11(sK142,sK142,X0,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3284_209 ),
inference(avatar_component_clause,[],[f20468]) ).
fof(f20471,plain,
( spl3284_178
| spl3284_209
| spl3284_1 ),
inference(avatar_split_clause,[],[f20466,f15660,f20468,f18708]) ).
fof(f20472,plain,
( ! [X0,X1] :
( sP11(sK142,sK142,sK143,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1)))))
| sP11(sK142,sK142,sK143,sK143) )
| ~ spl3284_179
| ~ spl3284_209 ),
inference(resolution,[],[f20469,f18713]) ).
fof(f20474,plain,
( ! [X0,X1] :
( sP11(sK142,sK142,sK143,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3284_179
| ~ spl3284_209 ),
inference(duplicate_literal_removal,[],[f20472]) ).
fof(f20475,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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1))))) )
| ~ spl3284_179
| ~ spl3284_209 ),
inference(forward_subsumption_resolution,[],[f20474,f19755]) ).
fof(f20476,plain,
( spl3284_180
| spl3284_180
| ~ spl3284_179
| ~ spl3284_209 ),
inference(avatar_split_clause,[],[f20475,f20468,f18712,f18827,f18827]) ).
fof(f20478,plain,
( ! [X0] :
( s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),X0))) != s(cart(real,sK142),i(s(fun(cart(real,sK142),cart(real,sK142)),sK144),s(cart(real,sK142),sK320(sK142,sK142,sK144))))
| s(cart(real,sK142),X0) = s(cart(real,sK142),sK321(sK142,sK142,sK144)) )
| ~ spl3284_178 ),
inference(superposition,[],[f9529,f18710]) ).
fof(f20571,plain,
( s(cart(real,sK142),sK320(sK142,sK142,sK144)) = s(cart(real,sK142),sK321(sK142,sK142,sK144))
| ~ spl3284_178 ),
inference(equality_resolution,[],[f20478]) ).
fof(f20658,plain,
( ! [X2,X0,X1] :
( s(cart(real,sK142),sK320(sK142,sK142,sK144)) != s(cart(real,sK142),sK320(sK142,sK142,sK144))
| p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X0,X1)))))
| sP11(sK142,sK142,X0,X1)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(superposition,[],[f9891,f20571]) ).
fof(f20659,plain,
( ! [X2,X0,X1] :
( s(cart(real,sK142),sK320(sK142,sK142,sK144)) != s(cart(real,sK142),sK320(sK142,sK142,sK144))
| p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,X1)))))
| sP11(sK142,sK142,X0,X1)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(superposition,[],[f9893,f20571]) ).
fof(f20660,plain,
( ! [X2,X0,X1] :
( s(cart(real,sK142),sK320(sK142,sK142,sK144)) != s(cart(real,sK142),sK320(sK142,sK142,sK144))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X1,X0)))),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X1,X0)))))))
| sP11(sK142,sK142,X1,X0)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))))
| 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,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(superposition,[],[f9895,f20571]) ).
fof(f20668,plain,
( ! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X1,X0)))),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X1,X0)))))))
| sP11(sK142,sK142,X1,X0)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))))
| 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,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(trivial_inequality_removal,[],[f20660]) ).
fof(f20669,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,X1)))))
| sP11(sK142,sK142,X0,X1)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(trivial_inequality_removal,[],[f20659]) ).
fof(f20670,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X0,X1)))))
| sP11(sK142,sK142,X0,X1)
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK144))))
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(trivial_inequality_removal,[],[f20658]) ).
fof(f20671,plain,
( ! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X1,X0)))),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X1,X0)))))))
| sP11(sK142,sK142,X1,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,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(forward_subsumption_resolution,[],[f20668,f9530]) ).
fof(f20672,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,X1)))))
| sP11(sK142,sK142,X0,X1)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(forward_subsumption_resolution,[],[f20669,f9530]) ).
fof(f20673,plain,
( spl3284_179
| ~ spl3284_178 ),
inference(avatar_split_clause,[],[f20672,f18708,f18712]) ).
fof(f20790,plain,
( ! [X0,X1] :
( sP11(sK142,sK142,X0,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X0,sK143))))) )
| ~ spl3284_178 ),
inference(resolution,[],[f20671,f9531]) ).
fof(f20794,plain,
( ! [X0,X1] :
( sP11(sK142,sK142,X0,sK143)
| 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,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X1)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),sK143),s(fun(cart(real,sK142),bool),sK319(sK142,sK142,X0,sK143))))) )
| ~ spl3284_178
| ~ spl3284_202 ),
inference(forward_subsumption_resolution,[],[f20790,f19821]) ).
fof(f20796,plain,
( spl3284_209
| ~ spl3284_178
| ~ spl3284_202 ),
inference(avatar_split_clause,[],[f20794,f19820,f18708,f20468]) ).
fof(f20799,plain,
( ! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,sK142),cart(real,sK142)),bool),linear),s(fun(cart(real,sK142),cart(real,sK142)),sK318(sK142,sK142,X0,X1)))))
| sP11(sK142,sK142,X0,X1)
| s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X0),s(fun(cart(real,sK142),bool),X2))) = s(bool,i(s(fun(fun(cart(real,sK142),bool),bool),X1),s(fun(cart(real,sK142),bool),i(s(fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool)),i(s(fun(fun(cart(real,sK142),cart(real,sK142)),fun(fun(cart(real,sK142),bool),fun(cart(real,sK142),bool))),image),s(fun(cart(real,sK142),cart(real,sK142)),sK144))),s(fun(cart(real,sK142),bool),X2))))) )
| ~ spl3284_178 ),
inference(forward_subsumption_resolution,[],[f20670,f9530]) ).
fof(f20800,plain,
( spl3284_202
| ~ spl3284_178 ),
inference(avatar_split_clause,[],[f20799,f18708,f19820]) ).
cnf(s4,plain,
~ spl3284_1,
inference(sat_conversion,[],[f15676]) ).
cnf(s183,plain,
( spl3284_178
| spl3284_179 ),
inference(sat_conversion,[],[f18714]) ).
cnf(s201,plain,
~ spl3284_180,
inference(sat_conversion,[],[f19487]) ).
cnf(s209,plain,
( spl3284_1
| spl3284_178
| spl3284_209 ),
inference(sat_conversion,[],[f20471]) ).
cnf(s210,plain,
( spl3284_180
| ~ spl3284_179
| spl3284_180
| ~ spl3284_209 ),
inference(sat_conversion,[],[f20476]) ).
cnf(s211,plain,
( ~ spl3284_179
| spl3284_180
| ~ spl3284_209 ),
inference(rat,[],[s210]) ).
cnf(s217,plain,
( ~ spl3284_178
| spl3284_179 ),
inference(sat_conversion,[],[f20673]) ).
cnf(s219,plain,
( ~ spl3284_178
| ~ spl3284_202
| spl3284_209 ),
inference(sat_conversion,[],[f20796]) ).
cnf(s220,plain,
( ~ spl3284_178
| spl3284_202 ),
inference(sat_conversion,[],[f20800]) ).
cnf(s235,plain,
spl3284_178,
inference(rat,[],[s211,s183,s209,s201,s4]) ).
cnf(s236,plain,
spl3284_202,
inference(rat,[],[s220,s235]) ).
cnf(s237,plain,
spl3284_209,
inference(rat,[],[s219,s236,s235]) ).
cnf(s238,plain,
spl3284_179,
inference(rat,[],[s217,s235]) ).
cnf(s239,plain,
$false,
inference(rat,[],[s211,s201,s237,s238]) ).
fof(f20801,plain,
$false,
inference(avatar_sat_refutation,[],[s239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO479+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n015.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 08:21:49 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 10.98/3.45 % (1343028)Detected formulas, will run a generic FOF schedule.
% 10.98/3.45 % (1343037)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4096210192:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 10.98/3.45 % (1343038)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1816962340:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 10.98/3.45 % (1343036)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=3387371561:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 10.98/3.45 % (1343035)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=114393753:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 10.98/3.45 % (1343039)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1764326535:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 10.98/3.45 % (1343034)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=2110447466:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 10.98/3.45 % (1343040)dis-21_1_sil=8000:lcm=predicate:random_seed=3458132077: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)
% 10.98/3.45 % (1343037)Instruction limit reached!
% 10.98/3.45 % (1343037)------------------------------
% 10.98/3.45 % (1343037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/3.45 % (1343037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.45 % (1343037)CaDiCaL version: 2.1.3
% 10.98/3.45 % (1343037)Termination reason: Instruction limit
% 10.98/3.45 % (1343037)Termination phase: Property scanning
% 10.98/3.45 % (1343037)Time elapsed: 0.034 s
% 10.98/3.45 % (1343037)Peak memory usage: 93 MB
% 10.98/3.45 % (1343037)Instructions burned: 109 (million)
% 10.98/3.45 % (1343039)Instruction limit reached!
% 10.98/3.45 % (1343039)------------------------------
% 10.98/3.45 % (1343039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/3.45 % (1343039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.45 % (1343039)CaDiCaL version: 2.1.3
% 10.98/3.45 % (1343039)Termination reason: Instruction limit
% 10.98/3.45 % (1343039)Termination phase: Property scanning
% 10.98/3.45 % (1343039)Time elapsed: 0.049 s
% 10.98/3.45 % (1343039)Peak memory usage: 90 MB
% 10.98/3.45 % (1343039)Instructions burned: 140 (million)
% 10.98/3.45 % (1343040)Instruction limit reached!
% 10.98/3.45 % (1343040)------------------------------
% 10.98/3.45 % (1343040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/3.45 % (1343040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.45 % (1343040)CaDiCaL version: 2.1.3
% 10.98/3.45 % (1343040)Termination reason: Instruction limit
% 10.98/3.45 % (1343040)Termination phase: SInE selection
% 10.98/3.45 % (1343040)Time elapsed: 0.061 s
% 10.98/3.45 % (1343040)Peak memory usage: 90 MB
% 10.98/3.45 % (1343040)Instructions burned: 129 (million)
% 10.98/3.45 % (1343038)Instruction limit reached!
% 10.98/3.45 % (1343038)------------------------------
% 10.98/3.45 % (1343038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/3.45 % (1343038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.45 % (1343038)CaDiCaL version: 2.1.3
% 10.98/3.45 % (1343038)Termination reason: Instruction limit
% 10.98/3.45 % (1343038)Termination phase: Preprocessing 3
% 10.98/3.45 % (1343038)Time elapsed: 0.065 s
% 10.98/3.45 % (1343038)Peak memory usage: 92 MB
% 10.98/3.45 % (1343038)Instructions burned: 121 (million)
% 10.98/3.45 % (1343048)lrs+10_1_sil=8000:sp=occurrence:random_seed=3722112731:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 10.98/3.45 % (1343048)Instruction limit reached!
% 10.98/3.45 % (1343048)------------------------------
% 10.98/3.45 % (1343048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.98/3.45 % (1343048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/3.45 % (1343048)CaDiCaL version: 2.1.3
% 10.98/3.45 % (1343048)Termination reason: Instruction limit
% 10.98/3.45 % (1343048)Termination phase: Saturation
% 10.98/3.45 % (1343048)Time elapsed: 0.075 s
% 10.98/3.45 % (1343048)Peak memory usage: 96 MB
% 10.98/3.45 % (1343048)Instructions burned: 288 (million)
% 17.54/4.36 % (1343049)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2817543599:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 17.54/4.36 % (1343050)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2983161784:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 17.54/4.36 % (1343051)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=2709775726:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 17.54/4.36 % (1343049)Instruction limit reached!
% 17.54/4.36 % (1343049)------------------------------
% 17.54/4.36 % (1343049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/4.36 % (1343049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/4.36 % (1343049)CaDiCaL version: 2.1.3
% 17.54/4.36 % (1343049)Termination reason: Instruction limit
% 17.54/4.36 % (1343049)Termination phase: Property scanning
% 17.54/4.36 % (1343049)Time elapsed: 0.056 s
% 17.54/4.36 % (1343049)Peak memory usage: 91 MB
% 17.54/4.36 % (1343049)Instructions burned: 159 (million)
% 17.54/4.36 % (1343053)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=168347223:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 17.54/4.36 % (1343051)Instruction limit reached!
% 17.54/4.36 % (1343051)------------------------------
% 17.54/4.36 % (1343051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/4.36 % (1343051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/4.36 % (1343051)CaDiCaL version: 2.1.3
% 17.54/4.36 % (1343051)Termination reason: Instruction limit
% 17.54/4.36 % (1343051)Termination phase: Property scanning
% 17.54/4.36 % (1343051)Time elapsed: 0.087 s
% 17.54/4.36 % (1343051)Peak memory usage: 91 MB
% 17.54/4.36 % (1343051)Instructions burned: 250 (million)
% 17.54/4.36 % (1343053)Instruction limit reached!
% 17.54/4.36 % (1343053)------------------------------
% 17.54/4.36 % (1343053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/4.36 % (1343053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/4.36 % (1343053)CaDiCaL version: 2.1.3
% 17.54/4.36 % (1343053)Termination reason: Instruction limit
% 17.54/4.36 % (1343053)Termination phase: Preprocessing 3
% 17.54/4.36 % (1343053)Time elapsed: 0.082 s
% 17.54/4.36 % (1343053)Peak memory usage: 95 MB
% 17.54/4.36 % (1343053)Instructions burned: 295 (million)
% 17.54/4.36 % (1343050)Instruction limit reached!
% 17.54/4.36 % (1343050)------------------------------
% 17.54/4.36 % (1343050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/4.36 % (1343050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/4.36 % (1343050)CaDiCaL version: 2.1.3
% 17.54/4.36 % (1343050)Termination reason: Instruction limit
% 17.54/4.36 % (1343050)Termination phase: Saturation
% 17.54/4.36 % (1343050)Time elapsed: 0.171 s
% 17.54/4.36 % (1343050)Peak memory usage: 96 MB
% 17.54/4.36 % (1343050)Instructions burned: 325 (million)
% 17.54/4.36 % (1343057)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=211552438:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 17.54/4.36 % (1343059)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3932727395:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 17.54/4.36 % (1343060)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1119018408:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 17.54/4.36 % (1343060)Instruction limit reached!
% 17.54/4.36 % (1343060)------------------------------
% 17.54/4.36 % (1343060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/4.36 % (1343060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/4.36 % (1343060)CaDiCaL version: 2.1.3
% 17.54/4.36 % (1343060)Termination reason: Instruction limit
% 17.54/4.36 % (1343060)Termination phase: Naming
% 17.54/4.36 % (1343060)Time elapsed: 0.040 s
% 17.54/4.36 % (1343060)Peak memory usage: 94 MB
% 17.54/4.36 % (1343060)Instructions burned: 132 (million)
% 17.54/4.36 % (1343059)Instruction limit reached!
% 17.54/4.36 % (1343059)------------------------------
% 17.54/4.36 % (1343059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/4.36 % (1343059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/4.36 % (1343059)CaDiCaL version: 2.1.3
% 17.54/4.36 % (1343059)Termination reason: Instruction limit
% 50.32/8.97 % (1343059)Termination phase: Preprocessing 1
% 50.32/8.97 % (1343059)Time elapsed: 0.062 s
% 50.32/8.97 % (1343059)Peak memory usage: 91 MB
% 50.32/8.97 % (1343059)Instructions burned: 114 (million)
% 50.32/8.97 % (1343061)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3470505395:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 50.32/8.97 % (1343061)Instruction limit reached!
% 50.32/8.97 % (1343061)------------------------------
% 50.32/8.97 % (1343061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.32/8.97 % (1343061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.32/8.97 % (1343061)CaDiCaL version: 2.1.3
% 50.32/8.97 % (1343061)Termination reason: Instruction limit
% 50.32/8.97 % (1343061)Termination phase: Property scanning
% 50.32/8.97 % (1343061)Time elapsed: 0.041 s
% 50.32/8.97 % (1343061)Peak memory usage: 91 MB
% 50.32/8.97 % (1343061)Instructions burned: 117 (million)
% 50.32/8.97 % (1343065)lrs+10_1_sil=8000:sp=occurrence:random_seed=2334414799:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 50.32/8.97 % (1343066)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3858664569:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 50.32/8.97 % (1343068)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=438527366:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 50.32/8.97 % (1343065)Instruction limit reached!
% 50.32/8.97 % (1343065)------------------------------
% 50.32/8.97 % (1343065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.32/8.97 % (1343065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.32/8.97 % (1343065)CaDiCaL version: 2.1.3
% 50.32/8.97 % (1343065)Termination reason: Instruction limit
% 50.32/8.97 % (1343065)Termination phase: Saturation
% 50.32/8.97 % (1343065)Time elapsed: 0.211 s
% 50.32/8.97 % (1343065)Peak memory usage: 101 MB
% 50.32/8.97 % (1343065)Instructions burned: 909 (million)
% 50.32/8.97 % (1343066)Instruction limit reached!
% 50.32/8.97 % (1343066)------------------------------
% 50.32/8.97 % (1343066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.32/8.97 % (1343066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.32/8.97 % (1343066)CaDiCaL version: 2.1.3
% 50.32/8.97 % (1343066)Termination reason: Instruction limit
% 50.32/8.97 % (1343066)Termination phase: Preprocessing 3
% 50.32/8.97 % (1343066)Time elapsed: 0.214 s
% 50.32/8.97 % (1343066)Peak memory usage: 100 MB
% 50.32/8.97 % (1343066)Instructions burned: 438 (million)
% 50.32/8.97 % (1343072)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1464724983:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 50.32/8.97 % (1343072)Instruction limit reached!
% 50.32/8.97 % (1343072)------------------------------
% 50.32/8.97 % (1343072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.32/8.97 % (1343072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.32/8.97 % (1343072)CaDiCaL version: 2.1.3
% 50.32/8.97 % (1343072)Termination reason: Instruction limit
% 50.32/8.97 % (1343072)Termination phase: Preprocessing 1
% 50.32/8.97 % (1343072)Time elapsed: 0.039 s
% 50.32/8.97 % (1343072)Peak memory usage: 91 MB
% 50.32/8.97 % (1343072)Instructions burned: 135 (million)
% 50.32/8.97 % (1343073)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3798381632:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 50.32/8.97 % (1343075)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1919960106:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 50.32/8.97 % (1343073)Instruction limit reached!
% 50.32/8.97 % (1343073)------------------------------
% 50.32/8.97 % (1343073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.32/8.97 % (1343073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.32/8.97 % (1343073)CaDiCaL version: 2.1.3
% 50.32/8.97 % (1343073)Termination reason: Instruction limit
% 50.32/8.97 % (1343073)Termination phase: Preprocessing 3
% 50.32/8.97 % (1343073)Time elapsed: 0.284 s
% 50.32/8.97 % (1343073)Peak memory usage: 101 MB
% 50.32/8.97 % (1343073)Instructions burned: 596 (million)
% 50.32/8.97 % (1343057)Instruction limit reached!
% 50.32/8.97 % (1343057)------------------------------
% 50.32/8.97 % (1343057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/9.30 % (1343057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/9.30 % (1343057)CaDiCaL version: 2.1.3
% 52.47/9.30 % (1343057)Termination reason: Instruction limit
% 52.47/9.30 % (1343057)Termination phase: Twee Goal Transformation
% 52.47/9.30 % (1343057)Time elapsed: 0.914 s
% 52.47/9.30 % (1343057)Peak memory usage: 106 MB
% 52.47/9.30 % (1343057)Instructions burned: 2353 (million)
% 52.47/9.30 % (1343078)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=1181767556:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 52.47/9.30 % (1343078)Instruction limit reached!
% 52.47/9.30 % (1343078)------------------------------
% 52.47/9.30 % (1343078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.47/9.30 % (1343078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.47/9.30 % (1343078)CaDiCaL version: 2.1.3
% 52.47/9.30 % (1343078)Termination reason: Instruction limit
% 52.47/9.30 % (1343078)Termination phase: Property scanning
% 41.42/9.30 % (1343078)Time elapsed: 0.044 s
% 41.42/9.30 % (1343078)Peak memory usage: 91 MB
% 41.42/9.30 % (1343078)Instructions burned: 126 (million)
% 41.42/9.30 % (1343079)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4176447202:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 41.42/9.30 % (1343079)Instruction limit reached!
% 41.42/9.30 % (1343079)------------------------------
% 41.42/9.30 % (1343079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343079)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343079)Termination reason: Instruction limit
% 41.42/9.30 % (1343079)Termination phase: Property scanning
% 41.42/9.30 % (1343079)Time elapsed: 0.048 s
% 41.42/9.30 % (1343079)Peak memory usage: 91 MB
% 41.42/9.30 % (1343079)Instructions burned: 135 (million)
% 41.42/9.30 % (1343081)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1983039206:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 41.42/9.30 % (1343081)Instruction limit reached!
% 41.42/9.30 % (1343081)------------------------------
% 41.42/9.30 % (1343081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343081)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343081)Termination reason: Instruction limit
% 41.42/9.30 % (1343081)Termination phase: General splitting
% 41.42/9.30 % (1343081)Time elapsed: 0.071 s
% 41.42/9.30 % (1343081)Peak memory usage: 93 MB
% 41.42/9.30 % (1343081)Instructions burned: 142 (million)
% 41.42/9.30 % (1343083)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1595184761:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 41.42/9.30 % (1343083)Refutation not found, incomplete strategy
% 41.42/9.30 % (1343083)------------------------------
% 41.42/9.30 % (1343083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343083)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343083)Termination reason: Refutation not found, incomplete strategy
% 41.42/9.30 % (1343083)Time elapsed: 0.097 s
% 41.42/9.30 % (1343083)Peak memory usage: 96 MB
% 41.42/9.30 % (1343083)Instructions burned: 187 (million)
% 41.42/9.30 % (1343086)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=278855764:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 41.42/9.30 % (1343083)------------------------------
% 41.42/9.30 % (1343083)------------------------------
% 41.42/9.30 % (1343088)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=3032803688:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2967 on theBenchmark for (2967ds/150Mi)
% 41.42/9.30 % (1343088)Instruction limit reached!
% 41.42/9.30 % (1343088)------------------------------
% 41.42/9.30 % (1343088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343088)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343088)Termination reason: Instruction limit
% 41.42/9.30 % (1343088)Termination phase: Preprocessing 1
% 41.42/9.30 % (1343088)Time elapsed: 0.083 s
% 41.42/9.30 % (1343088)Peak memory usage: 92 MB
% 41.42/9.30 % (1343088)Instructions burned: 150 (million)
% 41.42/9.30 % (1343090)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1318052948:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 41.42/9.30 % (1343068)Instruction limit reached!
% 41.42/9.30 % (1343068)------------------------------
% 41.42/9.30 % (1343068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343068)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343068)Termination reason: Instruction limit
% 41.42/9.30 % (1343068)Termination phase: Saturation
% 41.42/9.30 % (1343068)Time elapsed: 2.946 s
% 41.42/9.30 % (1343068)Peak memory usage: 163 MB
% 41.42/9.30 % (1343068)Instructions burned: 5204 (million)
% 41.42/9.30 % (1343092)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3695052377:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 41.42/9.30 % (1343092)Instruction limit reached!
% 41.42/9.30 % (1343092)------------------------------
% 41.42/9.30 % (1343092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343092)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343092)Termination reason: Instruction limit
% 41.42/9.30 % (1343092)Termination phase: Property scanning
% 41.42/9.30 % (1343092)Time elapsed: 0.340 s
% 41.42/9.30 % (1343092)Peak memory usage: 103 MB
% 41.42/9.30 % (1343092)Instructions burned: 669 (million)
% 41.42/9.30 % (1343094)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=4101477761:s2a=on:i=185:s2at=1.8:fdi=4_2946 on theBenchmark for (2946ds/185Mi)
% 41.42/9.30 % (1343094)Instruction limit reached!
% 41.42/9.30 % (1343094)------------------------------
% 41.42/9.30 % (1343094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343094)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343094)Termination reason: Instruction limit
% 41.42/9.30 % (1343094)Termination phase: Preprocessing 1
% 41.42/9.30 % (1343094)Time elapsed: 0.096 s
% 41.42/9.30 % (1343094)Peak memory usage: 91 MB
% 41.42/9.30 % (1343094)Instructions burned: 185 (million)
% 41.42/9.30 % (1343096)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=886513127:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2943 on theBenchmark for (2943ds/193Mi)
% 41.42/9.30 % (1343096)Instruction limit reached!
% 41.42/9.30 % (1343096)------------------------------
% 41.42/9.30 % (1343096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343096)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343096)Termination reason: Instruction limit
% 41.42/9.30 % (1343096)Termination phase: Preprocessing 3
% 41.42/9.30 % (1343096)Time elapsed: 0.104 s
% 41.42/9.30 % (1343096)Peak memory usage: 92 MB
% 41.42/9.30 % (1343096)Instructions burned: 194 (million)
% 41.42/9.30 % (1343098)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=948692967:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2941 on theBenchmark for (2941ds/4850Mi)
% 41.42/9.30 % (1343086)Instruction limit reached!
% 41.42/9.30 % (1343086)------------------------------
% 41.42/9.30 % (1343086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.30 % (1343086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.30 % (1343086)CaDiCaL version: 2.1.3
% 41.42/9.30 % (1343086)Termination reason: Instruction limit
% 41.42/9.30 % (1343086)Termination phase: Saturation
% 41.42/9.30 % (1343086)Time elapsed: 3.536 s
% 41.42/9.30 % (1343086)Peak memory usage: 410 MB
% 41.42/9.30 % (1343086)Instructions burned: 6063 (million)
% 41.42/9.30 % (1343100)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2891676247:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 41.42/9.30 % (1343075)First to succeed.
% 41.42/9.30 % (1343075)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1343028"
% 41.42/9.30 % (1343075)Refutation found. Thanks to Tanya!
% 41.42/9.30 % SZS status Theorem for theBenchmark
% 41.42/9.30 % SZS output start Proof for theBenchmark
% See solution above
% 41.42/9.40 % (1343075)------------------------------
% 41.42/9.40 % (1343075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.42/9.40 % (1343075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.42/9.40 % (1343075)CaDiCaL version: 2.1.3
% 41.42/9.40 % (1343075)Termination reason: Refutation
% 41.42/9.40 % (1343075)Time elapsed: 5.840 s
% 41.42/9.40 % (1343075)Peak memory usage: 366 MB
% 41.42/9.40 % (1343075)Instructions burned: 11101 (million)
% 41.42/9.40 % (1343075)------------------------------
% 41.42/9.40 % (1343075)------------------------------
% 41.42/9.40 % (1343028)Success in time 8.421 s
% 41.42/9.40 % Vampire exiting
%------------------------------------------------------------------------------