%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO475+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 50.73s 9.89s
% Output : Refutation 58.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 167 ( 16 unt; 16 def)
% Number of atoms : 518 ( 252 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 585 ( 234 ~; 239 |; 61 &)
% ( 25 <=>; 25 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 17 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 10 con; 0-4 aty)
% Number of variables : 328 ( 0 sgn 265 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3077,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2))))
=> p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aADJOINTu_LINEAR) ).
fof(f3079,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2))))
=> s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))))) = s(fun(cart(real,X0),cart(real,X1)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aADJOINTu_ADJOINT) ).
fof(f3452,axiom,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
& ! [X2,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))
=> s(cart(real,X0),X2) = s(cart(real,X0),X3) ) )
=> ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X2] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))))) = s(cart(real,X0),X2)
& ! [X2] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X2))))) = s(cart(real,X0),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLINEARu_INJECTIVEu_ISOMORPHISM) ).
fof(f3453,axiom,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
& ! [X2] :
? [X3] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))) = s(cart(real,X0),X2) )
=> ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X3] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))))) = s(cart(real,X0),X3)
& ! [X3] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X3))))) = s(cart(real,X0),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLINEARu_SURJECTIVEu_ISOMORPHISM) ).
fof(f3506,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2))))
=> ( ! [X3,X4] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4)))
=> s(cart(real,X1),X3) = s(cart(real,X1),X4) )
<=> ! [X4] :
? [X3] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X3))) = s(cart(real,X1),X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aADJOINTu_INJECTIVE) ).
fof(f3507,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ( ! [X3] :
? [X4] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),X4))) = s(cart(real,X1),X3)
<=> ! [X4,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X4))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X3)))
=> s(cart(real,X1),X4) = s(cart(real,X1),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aADJOINTu_SURJECTIVE) ).
fof(f3508,conjecture,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
=> ( ! [X2,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3)))
=> s(cart(real,X0),X2) = s(cart(real,X0),X3) )
<=> ! [X2,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))
=> s(cart(real,X0),X2) = s(cart(real,X0),X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aADJOINTu_INJECTIVEu_INJECTIVE) ).
fof(f3509,negated_conjecture,
~ ! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
=> ( ! [X2,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3)))
=> s(cart(real,X0),X2) = s(cart(real,X0),X3) )
<=> ! [X2,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))
=> s(cart(real,X0),X2) = s(cart(real,X0),X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f3508]) ).
fof(f3510,plain,
~ ! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
=> ( ! [X2,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3)))
=> s(cart(real,X0),X2) = s(cart(real,X0),X3) )
<=> ! [X4,X5] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X4))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5)))
=> s(cart(real,X0),X4) = s(cart(real,X0),X5) ) ) ),
inference(rectify,[],[f3509]) ).
fof(f3567,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
& ! [X2] :
? [X3] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))) = s(cart(real,X0),X2) )
=> ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X5] : s(cart(real,X0),X5) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5)))))
& ! [X6] : s(cart(real,X0),X6) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X6))))) ) ),
inference(rectify,[],[f3453]) ).
fof(f3568,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
& ! [X2,X3] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))
=> s(cart(real,X0),X2) = s(cart(real,X0),X3) ) )
=> ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X5] : s(cart(real,X0),X5) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5)))))
& ! [X6] : s(cart(real,X0),X6) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X6))))) ) ),
inference(rectify,[],[f3452]) ).
fof(f3588,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
=> ( ! [X3] :
? [X4] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),X4))) = s(cart(real,X1),X3)
<=> ! [X5,X6] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X5))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X6)))
=> s(cart(real,X1),X5) = s(cart(real,X1),X6) ) ) ),
inference(rectify,[],[f3507]) ).
fof(f3589,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2))))
=> ( ! [X3,X4] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4)))
=> s(cart(real,X1),X3) = s(cart(real,X1),X4) )
<=> ! [X5] :
? [X6] : s(cart(real,X1),X5) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X6))) ) ),
inference(rectify,[],[f3506]) ).
fof(f4030,plain,
? [X0,X1] :
( ( ! [X2,X3] :
( s(cart(real,X0),X2) = s(cart(real,X0),X3)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3))) )
<~> ! [X4,X5] :
( s(cart(real,X0),X4) = s(cart(real,X0),X5)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X4))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5))) ) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1)))) ),
inference(ennf_transformation,[],[f3510]) ).
fof(f4085,plain,
! [X0,X1] :
( ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X5] : s(cart(real,X0),X5) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5)))))
& ! [X6] : s(cart(real,X0),X6) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X6))))) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
| ? [X2] :
! [X3] : s(cart(real,X0),X2) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f4086,plain,
! [X0,X1] :
( ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X5] : s(cart(real,X0),X5) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5)))))
& ! [X6] : s(cart(real,X0),X6) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X6))))) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
| ? [X2] :
! [X3] : s(cart(real,X0),X2) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))) ),
inference(flattening,[],[f4085]) ).
fof(f4087,plain,
! [X0,X1] :
( ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X5] : s(cart(real,X0),X5) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5)))))
& ! [X6] : s(cart(real,X0),X6) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X6))))) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
| ? [X2,X3] :
( s(cart(real,X0),X2) != s(cart(real,X0),X3)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))) ) ),
inference(ennf_transformation,[],[f3568]) ).
fof(f4088,plain,
! [X0,X1] :
( ? [X4] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X4))))
& ! [X5] : s(cart(real,X0),X5) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5)))))
& ! [X6] : s(cart(real,X0),X6) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X4),s(cart(real,X0),X6))))) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
| ? [X2,X3] :
( s(cart(real,X0),X2) != s(cart(real,X0),X3)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))) ) ),
inference(flattening,[],[f4087]) ).
fof(f4145,plain,
! [X0,X1,X2] :
( ( ! [X3] :
? [X4] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),X4))) = s(cart(real,X1),X3)
<=> ! [X5,X6] :
( s(cart(real,X1),X5) = s(cart(real,X1),X6)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X5))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X6))) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(ennf_transformation,[],[f3588]) ).
fof(f4146,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( s(cart(real,X1),X3) = s(cart(real,X1),X4)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3))) )
<=> ! [X5] :
? [X6] : s(cart(real,X1),X5) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X6))) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(ennf_transformation,[],[f3589]) ).
fof(f4152,plain,
! [X0,X1,X2] :
( s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))))) = s(fun(cart(real,X0),cart(real,X1)),X2)
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(ennf_transformation,[],[f3079]) ).
fof(f4154,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(ennf_transformation,[],[f3077]) ).
fof(f5942,plain,
? [X0,X1] :
( ( ? [X4,X5] :
( s(cart(real,X0),X4) != s(cart(real,X0),X5)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X4))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5))) )
| ? [X2,X3] :
( s(cart(real,X0),X2) != s(cart(real,X0),X3)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3))) ) )
& ( ! [X4,X5] :
( s(cart(real,X0),X4) = s(cart(real,X0),X5)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X4))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5))) )
| ! [X2,X3] :
( s(cart(real,X0),X2) = s(cart(real,X0),X3)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3))) ) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1)))) ),
inference(nnf_transformation,[],[f4030]) ).
fof(f5943,plain,
? [X0,X1] :
( ( ? [X4,X5] :
( s(cart(real,X0),X4) != s(cart(real,X0),X5)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X4))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5))) )
| ? [X2,X3] :
( s(cart(real,X0),X2) != s(cart(real,X0),X3)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3))) ) )
& ( ! [X4,X5] :
( s(cart(real,X0),X4) = s(cart(real,X0),X5)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X4))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5))) )
| ! [X2,X3] :
( s(cart(real,X0),X2) = s(cart(real,X0),X3)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X2))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X3))) ) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1)))) ),
inference(flattening,[],[f5942]) ).
fof(f5944,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( s(cart(real,X0),X2) != s(cart(real,X0),X3)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X2))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))) )
| ? [X4,X5] :
( s(cart(real,X0),X4) != s(cart(real,X0),X5)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X4))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X5))) ) )
& ( ! [X6,X7] :
( s(cart(real,X0),X7) = s(cart(real,X0),X6)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X6))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X7))) )
| ! [X8,X9] :
( s(cart(real,X0),X9) = s(cart(real,X0),X8)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X8))) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X0)),fun(cart(real,X0),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X0)),X1))),s(cart(real,X0),X9))) ) )
& p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1)))) ),
inference(rectify,[],[f5943]) ).
fof(f5945,plain,
( ( ( s(cart(real,sK121),sK123) != s(cart(real,sK121),sK124)
& s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK123))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK124))) )
| ( s(cart(real,sK121),sK125) != s(cart(real,sK121),sK126)
& s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK126))) ) )
& ( ! [X6,X7] :
( s(cart(real,sK121),X7) = s(cart(real,sK121),X6)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X6))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X7))) )
| ! [X8,X9] :
( s(cart(real,sK121),X9) = s(cart(real,sK121),X8)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X8))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X9))) ) )
& p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK121,sK122,sK123,sK124,sK125,sK126]),skolemize(X0,sK121),skolemize(X1,sK122),skolemize(X2,sK123),skolemize(X3,sK124),skolemize(X4,sK125),skolemize(X5,sK126)],[f5944]) ).
fof(f6216,plain,
! [X0,X1] :
( ? [X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X2))))
& ! [X3] : s(cart(real,X0),X3) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))))
& ! [X4] : s(cart(real,X0),X4) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(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)),X1))))
| ? [X5] :
! [X6] : s(cart(real,X0),X5) != s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X6))) ),
inference(rectify,[],[f4086]) ).
fof(f6217,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),sK302(X0,X1)))))
& ! [X3] : s(cart(real,X0),X3) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),sK302(X0,X1)),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))))
& ! [X4] : s(cart(real,X0),X4) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),sK302(X0,X1)),s(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)),X1))))
| ! [X6] : s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X6))) != s(cart(real,X0),sK303(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK302,sK303]),skolemize(X2,sK302(X0,X1)),skolemize(X5,sK303(X0,X1))],[f6216]) ).
fof(f6218,plain,
! [X0,X1] :
( ? [X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X2))))
& ! [X3] : s(cart(real,X0),X3) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))))
& ! [X4] : s(cart(real,X0),X4) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X2),s(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)),X1))))
| ? [X5,X6] :
( s(cart(real,X0),X5) != s(cart(real,X0),X6)
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X5))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X6))) ) ),
inference(rectify,[],[f4088]) ).
fof(f6219,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),sK304(X0,X1)))))
& ! [X3] : s(cart(real,X0),X3) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),sK304(X0,X1)),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3)))))
& ! [X4] : s(cart(real,X0),X4) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),sK304(X0,X1)),s(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)),X1))))
| ( s(cart(real,X0),sK305(X0,X1)) != s(cart(real,X0),sK306(X0,X1))
& s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),sK305(X0,X1)))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),sK306(X0,X1)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK304,sK305,sK306]),skolemize(X2,sK304(X0,X1)),skolemize(X5,sK305(X0,X1)),skolemize(X6,sK306(X0,X1))],[f6218]) ).
fof(f6278,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
? [X4] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),X4))) = s(cart(real,X1),X3)
| ? [X5,X6] :
( s(cart(real,X1),X5) != s(cart(real,X1),X6)
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X5))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X6))) ) )
& ( ! [X5,X6] :
( s(cart(real,X1),X5) = s(cart(real,X1),X6)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X5))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X6))) )
| ? [X3] :
! [X4] : s(cart(real,X1),X3) != s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(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)),X2)))) ),
inference(nnf_transformation,[],[f4145]) ).
fof(f6279,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
? [X4] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),X4))) = s(cart(real,X1),X3)
| ? [X5,X6] :
( s(cart(real,X1),X5) != s(cart(real,X1),X6)
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X5))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X6))) ) )
& ( ! [X7,X8] :
( s(cart(real,X1),X8) = s(cart(real,X1),X7)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X7))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X8))) )
| ? [X9] :
! [X10] : s(cart(real,X1),X9) != s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),X10))) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(rectify,[],[f6278]) ).
fof(f6280,plain,
! [X0,X1,X2] :
( ( ( ! [X3] : s(cart(real,X1),X3) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),sK377(X0,X1,X2,X3))))
| ( s(cart(real,X1),sK378(X0,X1,X2)) != s(cart(real,X1),sK379(X0,X1,X2))
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),sK378(X0,X1,X2)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),sK379(X0,X1,X2)))) ) )
& ( ! [X7,X8] :
( s(cart(real,X1),X8) = s(cart(real,X1),X7)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X7))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),X8))) )
| ! [X10] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),X10))) != s(cart(real,X1),sK380(X0,X1,X2)) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK377,sK378,sK379,sK380]),skolemize(X4,sK377(X0,X1,X2,X3)),skolemize(X5,sK378(X0,X1,X2)),skolemize(X6,sK379(X0,X1,X2)),skolemize(X9,sK380(X0,X1,X2))],[f6279]) ).
fof(f6281,plain,
! [X0,X1,X2] :
( ( ( ! [X3,X4] :
( s(cart(real,X1),X3) = s(cart(real,X1),X4)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3))) )
| ? [X5] :
! [X6] : s(cart(real,X1),X5) != s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X6))) )
& ( ! [X5] :
? [X6] : s(cart(real,X1),X5) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X6)))
| ? [X3,X4] :
( s(cart(real,X1),X3) != s(cart(real,X1),X4)
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3))) ) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(nnf_transformation,[],[f4146]) ).
fof(f6282,plain,
! [X0,X1,X2] :
( ( ( ! [X3,X4] :
( s(cart(real,X1),X3) = s(cart(real,X1),X4)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3))) )
| ? [X5] :
! [X6] : s(cart(real,X1),X5) != s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X6))) )
& ( ! [X7] :
? [X8] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X8))) = s(cart(real,X1),X7)
| ? [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)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X10))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X9))) ) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(rectify,[],[f6281]) ).
fof(f6283,plain,
! [X0,X1,X2] :
( ( ( ! [X3,X4] :
( s(cart(real,X1),X3) = s(cart(real,X1),X4)
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3))) )
| ! [X6] : s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X6))) != s(cart(real,X1),sK381(X0,X1,X2)) )
& ( ! [X7] : s(cart(real,X1),X7) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),sK382(X0,X1,X2,X7))))
| ( s(cart(real,X1),sK383(X0,X1,X2)) != s(cart(real,X1),sK384(X0,X1,X2))
& s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),sK384(X0,X1,X2)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),sK383(X0,X1,X2)))) ) ) )
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK381,sK382,sK383,sK384]),skolemize(X5,sK381(X0,X1,X2)),skolemize(X8,sK382(X0,X1,X2,X7)),skolemize(X9,sK383(X0,X1,X2)),skolemize(X10,sK384(X0,X1,X2))],[f6282]) ).
fof(f8749,plain,
p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))),
inference(cnf_transformation,[],[f5945]) ).
fof(f8750,plain,
! [X8,X6,X9,X7] :
( s(cart(real,sK121),X7) = s(cart(real,sK121),X6)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X6))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X7)))
| s(cart(real,sK121),X9) = s(cart(real,sK121),X8)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X8))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X9))) ),
inference(cnf_transformation,[],[f5945]) ).
fof(f8751,plain,
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK123))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK124)))
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK126))) ),
inference(cnf_transformation,[],[f5945]) ).
fof(f8752,plain,
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK123))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK124)))
| s(cart(real,sK121),sK125) != s(cart(real,sK121),sK126) ),
inference(cnf_transformation,[],[f5945]) ).
fof(f8753,plain,
( s(cart(real,sK121),sK123) != s(cart(real,sK121),sK124)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK126))) ),
inference(cnf_transformation,[],[f5945]) ).
fof(f8754,plain,
( s(cart(real,sK121),sK123) != s(cart(real,sK121),sK124)
| s(cart(real,sK121),sK125) != s(cart(real,sK121),sK126) ),
inference(cnf_transformation,[],[f5945]) ).
fof(f9116,plain,
! [X3,X0,X1,X6] :
( s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X6))) != s(cart(real,X0),sK303(X0,X1))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
| s(cart(real,X0),X3) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),sK302(X0,X1)),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),X3))))) ),
inference(cnf_transformation,[],[f6217]) ).
fof(f9118,plain,
! [X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
| s(cart(real,X0),X4) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),sK304(X0,X1)),s(cart(real,X0),X4)))))
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),sK305(X0,X1)))) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),sK306(X0,X1)))) ),
inference(cnf_transformation,[],[f6219]) ).
fof(f9119,plain,
! [X0,X1,X4] :
( s(cart(real,X0),sK305(X0,X1)) != s(cart(real,X0),sK306(X0,X1))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X0)),bool),linear),s(fun(cart(real,X0),cart(real,X0)),X1))))
| s(cart(real,X0),X4) = s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),X1),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),sK304(X0,X1)),s(cart(real,X0),X4))))) ),
inference(cnf_transformation,[],[f6219]) ).
fof(f9193,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),X2))))
| s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),sK378(X0,X1,X2)))) = s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),X2),s(cart(real,X1),sK379(X0,X1,X2))))
| s(cart(real,X1),X3) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),sK377(X0,X1,X2,X3)))) ),
inference(cnf_transformation,[],[f6280]) ).
fof(f9194,plain,
! [X2,X3,X0,X1] :
( s(cart(real,X1),sK378(X0,X1,X2)) != s(cart(real,X1),sK379(X0,X1,X2))
| s(cart(real,X1),X3) = s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),X2))),s(cart(real,X0),sK377(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)),X2)))) ),
inference(cnf_transformation,[],[f6280]) ).
fof(f9197,plain,
! [X2,X3,X0,X1,X6,X4] :
( s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X4))) != s(cart(real,X0),i(s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))),s(cart(real,X1),X3)))
| s(cart(real,X1),X3) = s(cart(real,X1),X4)
| s(cart(real,X1),i(s(fun(cart(real,X0),cart(real,X1)),X2),s(cart(real,X0),X6))) != s(cart(real,X1),sK381(X0,X1,X2))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(cnf_transformation,[],[f6283]) ).
fof(f9203,plain,
! [X2,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)),X2))))
| s(fun(cart(real,X0),cart(real,X1)),X2) = s(fun(cart(real,X0),cart(real,X1)),i(s(fun(fun(cart(real,X1),cart(real,X0)),fun(cart(real,X0),cart(real,X1))),adjoint),s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))))) ),
inference(cnf_transformation,[],[f4152]) ).
fof(f9206,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X0)),bool),linear),s(fun(cart(real,X1),cart(real,X0)),i(s(fun(fun(cart(real,X0),cart(real,X1)),fun(cart(real,X1),cart(real,X0))),adjoint),s(fun(cart(real,X0),cart(real,X1)),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),cart(real,X1)),bool),linear),s(fun(cart(real,X0),cart(real,X1)),X2)))) ),
inference(cnf_transformation,[],[f4154]) ).
fof(f15526,definition,
( spl2971_146
<=> ! [X9,X8] :
( s(cart(real,sK121),X9) = s(cart(real,sK121),X8)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X8))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X9))) ) ),
introduced(definition,[new_symbols(definition,[spl2971_146])],[avatar_definition]) ).
fof(f15527,plain,
( ! [X8,X9] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X8))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X9)))
| s(cart(real,sK121),X9) = s(cart(real,sK121),X8) )
| ~ spl2971_146 ),
inference(avatar_component_clause,[],[f15526]) ).
fof(f15529,definition,
( spl2971_147
<=> ! [X6,X7] :
( s(cart(real,sK121),X7) = s(cart(real,sK121),X6)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X6))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X7))) ) ),
introduced(definition,[new_symbols(definition,[spl2971_147])],[avatar_definition]) ).
fof(f15530,plain,
( ! [X6,X7] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X6))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X7)))
| s(cart(real,sK121),X7) = s(cart(real,sK121),X6) )
| ~ spl2971_147 ),
inference(avatar_component_clause,[],[f15529]) ).
fof(f15531,plain,
( spl2971_146
| spl2971_147 ),
inference(avatar_split_clause,[],[f8750,f15529,f15526]) ).
fof(f15533,definition,
( spl2971_148
<=> s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK126))) ),
introduced(definition,[new_symbols(definition,[spl2971_148])],[avatar_definition]) ).
fof(f15535,plain,
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK126)))
| ~ spl2971_148 ),
inference(avatar_component_clause,[],[f15533]) ).
fof(f15537,definition,
( spl2971_149
<=> s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK123))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK124))) ),
introduced(definition,[new_symbols(definition,[spl2971_149])],[avatar_definition]) ).
fof(f15539,plain,
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK123))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK124)))
| ~ spl2971_149 ),
inference(avatar_component_clause,[],[f15537]) ).
fof(f15540,plain,
( spl2971_148
| spl2971_149 ),
inference(avatar_split_clause,[],[f8751,f15537,f15533]) ).
fof(f15542,definition,
( spl2971_150
<=> s(cart(real,sK121),sK125) = s(cart(real,sK121),sK126) ),
introduced(definition,[new_symbols(definition,[spl2971_150])],[avatar_definition]) ).
fof(f15544,plain,
( s(cart(real,sK121),sK125) != s(cart(real,sK121),sK126)
| spl2971_150 ),
inference(avatar_component_clause,[],[f15542]) ).
fof(f15545,plain,
( ~ spl2971_150
| spl2971_149 ),
inference(avatar_split_clause,[],[f8752,f15537,f15542]) ).
fof(f15547,definition,
( spl2971_151
<=> s(cart(real,sK121),sK123) = s(cart(real,sK121),sK124) ),
introduced(definition,[new_symbols(definition,[spl2971_151])],[avatar_definition]) ).
fof(f15549,plain,
( s(cart(real,sK121),sK123) != s(cart(real,sK121),sK124)
| spl2971_151 ),
inference(avatar_component_clause,[],[f15547]) ).
fof(f15550,plain,
( spl2971_148
| ~ spl2971_151 ),
inference(avatar_split_clause,[],[f8753,f15547,f15533]) ).
fof(f15551,plain,
( ~ spl2971_150
| ~ spl2971_151 ),
inference(avatar_split_clause,[],[f8754,f15547,f15542]) ).
fof(f16485,plain,
( ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0)))
| s(cart(real,sK121),sK126) = s(cart(real,sK121),X0) )
| ~ spl2971_146
| ~ spl2971_148 ),
inference(superposition,[],[f15527,f15535]) ).
fof(f16488,plain,
( s(cart(real,sK121),sK125) = s(cart(real,sK121),sK126)
| ~ spl2971_146
| ~ spl2971_148 ),
inference(equality_resolution,[],[f16485]) ).
fof(f16489,plain,
( $false
| ~ spl2971_146
| ~ spl2971_148
| spl2971_150 ),
inference(forward_subsumption_resolution,[],[f16488,f15544]) ).
fof(f16490,plain,
( ~ spl2971_146
| ~ spl2971_148
| spl2971_150 ),
inference(avatar_contradiction_clause,[],[f16489]) ).
fof(f16508,plain,
s(fun(cart(real,sK121),cart(real,sK121)),sK122) = s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))),
inference(resolution,[],[f9203,f8749]) ).
fof(f16521,plain,
! [X0] :
( s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK304(sK121,sK122)),s(cart(real,sK121),X0)))))
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK305(sK121,sK122)))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK306(sK121,sK122)))) ),
inference(resolution,[],[f9118,f8749]) ).
fof(f16527,definition,
( spl2971_172
<=> s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK305(sK121,sK122)))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK306(sK121,sK122)))) ),
introduced(definition,[new_symbols(definition,[spl2971_172])],[avatar_definition]) ).
fof(f16529,plain,
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK305(sK121,sK122)))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK306(sK121,sK122))))
| ~ spl2971_172 ),
inference(avatar_component_clause,[],[f16527]) ).
fof(f16531,definition,
( spl2971_173
<=> ! [X0] : s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK304(sK121,sK122)),s(cart(real,sK121),X0))))) ),
introduced(definition,[new_symbols(definition,[spl2971_173])],[avatar_definition]) ).
fof(f16532,plain,
( ! [X0] : s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK304(sK121,sK122)),s(cart(real,sK121),X0)))))
| ~ spl2971_173 ),
inference(avatar_component_clause,[],[f16531]) ).
fof(f16533,plain,
( spl2971_172
| spl2971_173 ),
inference(avatar_split_clause,[],[f16521,f16531,f16527]) ).
fof(f16543,plain,
( ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X0))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK305(sK121,sK122))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),sK306(sK121,sK122)) )
| ~ spl2971_147
| ~ spl2971_172 ),
inference(superposition,[],[f15530,f16529]) ).
fof(f16548,plain,
( s(cart(real,sK121),sK305(sK121,sK122)) = s(cart(real,sK121),sK306(sK121,sK122))
| ~ spl2971_147
| ~ spl2971_172 ),
inference(equality_resolution,[],[f16543]) ).
fof(f16609,definition,
( spl2971_179
<=> ! [X0] : s(cart(real,sK121),X0) != s(cart(real,sK121),sK303(sK121,sK122)) ),
introduced(definition,[new_symbols(definition,[spl2971_179])],[avatar_definition]) ).
fof(f16610,plain,
( ! [X0] : s(cart(real,sK121),X0) != s(cart(real,sK121),sK303(sK121,sK122))
| ~ spl2971_179 ),
inference(avatar_component_clause,[],[f16609]) ).
fof(f16631,definition,
( spl2971_180
<=> p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) ),
introduced(definition,[new_symbols(definition,[spl2971_180])],[avatar_definition]) ).
fof(f16632,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))))
| ~ spl2971_180 ),
inference(avatar_component_clause,[],[f16631]) ).
fof(f16633,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))))
| spl2971_180 ),
inference(avatar_component_clause,[],[f16631]) ).
fof(f16643,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))
| spl2971_180 ),
inference(resolution,[],[f16633,f9206]) ).
fof(f16645,plain,
( $false
| spl2971_180 ),
inference(forward_subsumption_resolution,[],[f16643,f8749]) ).
fof(f16646,plain,
spl2971_180,
inference(avatar_contradiction_clause,[],[f16645]) ).
fof(f18645,plain,
( ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0)))) )
| ~ spl2971_180 ),
inference(resolution,[],[f9193,f16632]) ).
fof(f18650,plain,
( ! [X0] :
( s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0))))
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) )
| ~ spl2971_180 ),
inference(forward_demodulation,[],[f18645,f16508]) ).
fof(f18668,definition,
( spl2971_209
<=> s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) ),
introduced(definition,[new_symbols(definition,[spl2971_209])],[avatar_definition]) ).
fof(f18670,plain,
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))))
| ~ spl2971_209 ),
inference(avatar_component_clause,[],[f18668]) ).
fof(f18672,definition,
( spl2971_210
<=> ! [X0] : s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0)))) ),
introduced(definition,[new_symbols(definition,[spl2971_210])],[avatar_definition]) ).
fof(f18673,plain,
( ! [X0] : s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0))))
| ~ spl2971_210 ),
inference(avatar_component_clause,[],[f18672]) ).
fof(f18674,plain,
( spl2971_209
| spl2971_210
| ~ spl2971_180 ),
inference(avatar_split_clause,[],[f18650,f16631,f18672,f18668]) ).
fof(f19920,plain,
( ! [X0,X1] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0)))
| s(cart(real,sK121),sK126) = s(cart(real,sK121),X0)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1))) != s(cart(real,sK121),sK381(sK121,sK121,sK122))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))) )
| ~ spl2971_148 ),
inference(superposition,[],[f9197,f15535]) ).
fof(f19981,plain,
( ! [X0,X1] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0)))
| s(cart(real,sK121),sK126) = s(cart(real,sK121),X0)
| s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1))) != s(cart(real,sK121),sK381(sK121,sK121,sK122)) )
| ~ spl2971_148 ),
inference(forward_subsumption_resolution,[],[f19920,f8749]) ).
fof(f19983,definition,
( spl2971_211
<=> ! [X1] : s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1))) != s(cart(real,sK121),sK381(sK121,sK121,sK122)) ),
introduced(definition,[new_symbols(definition,[spl2971_211])],[avatar_definition]) ).
fof(f19984,plain,
( ! [X1] : s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1))) != s(cart(real,sK121),sK381(sK121,sK121,sK122))
| ~ spl2971_211 ),
inference(avatar_component_clause,[],[f19983]) ).
fof(f19986,definition,
( spl2971_212
<=> ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))) ) ),
introduced(definition,[new_symbols(definition,[spl2971_212])],[avatar_definition]) ).
fof(f19987,plain,
( ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))) )
| ~ spl2971_212 ),
inference(avatar_component_clause,[],[f19986]) ).
fof(f20006,definition,
( spl2971_217
<=> ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0)))
| s(cart(real,sK121),sK126) = s(cart(real,sK121),X0) ) ),
introduced(definition,[new_symbols(definition,[spl2971_217])],[avatar_definition]) ).
fof(f20007,plain,
( ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK125))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0)))
| s(cart(real,sK121),sK126) = s(cart(real,sK121),X0) )
| ~ spl2971_217 ),
inference(avatar_component_clause,[],[f20006]) ).
fof(f20018,plain,
( spl2971_211
| spl2971_217
| ~ spl2971_148 ),
inference(avatar_split_clause,[],[f19981,f15533,f20006,f19983]) ).
fof(f20020,plain,
( ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK123))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X0)))
| s(cart(real,sK121),sK124) = s(cart(real,sK121),X0) )
| ~ spl2971_147
| ~ spl2971_149 ),
inference(superposition,[],[f15530,f15539]) ).
fof(f20341,plain,
( s(cart(real,sK121),sK123) = s(cart(real,sK121),sK124)
| ~ spl2971_147
| ~ spl2971_149 ),
inference(equality_resolution,[],[f20020]) ).
fof(f20682,plain,
( $false
| ~ spl2971_179 ),
inference(equality_resolution,[],[f16610]) ).
fof(f20683,plain,
~ spl2971_179,
inference(avatar_contradiction_clause,[],[f20682]) ).
fof(f20703,plain,
( ! [X0] :
( s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),X0))) != s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))),s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))) )
| ~ spl2971_146
| ~ spl2971_209 ),
inference(superposition,[],[f15527,f18670]) ).
fof(f20726,plain,
( spl2971_212
| ~ spl2971_146
| ~ spl2971_209 ),
inference(avatar_split_clause,[],[f20703,f18668,f15526,f19986]) ).
fof(f20976,plain,
( s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))) = s(cart(real,sK121),sK379(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))
| ~ spl2971_212 ),
inference(equality_resolution,[],[f19987]) ).
fof(f21126,plain,
( ! [X0] :
( s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))) != s(cart(real,sK121),sK378(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) )
| ~ spl2971_212 ),
inference(superposition,[],[f9194,f20976]) ).
fof(f21127,plain,
( ! [X0] :
( s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)))))) )
| ~ spl2971_212 ),
inference(trivial_inequality_removal,[],[f21126]) ).
fof(f21128,plain,
( ! [X0] : s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0))))
| ~ spl2971_180
| ~ spl2971_212 ),
inference(forward_subsumption_resolution,[],[f21127,f16632]) ).
fof(f21129,plain,
( ! [X0] : s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK377(sK121,sK121,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),fun(cart(real,sK121),cart(real,sK121))),adjoint),s(fun(cart(real,sK121),cart(real,sK121)),sK122)),X0))))
| ~ spl2971_180
| ~ spl2971_212 ),
inference(forward_demodulation,[],[f21128,f16508]) ).
fof(f21130,plain,
( spl2971_210
| ~ spl2971_180
| ~ spl2971_212 ),
inference(avatar_split_clause,[],[f21129,f19986,f16631,f18672]) ).
fof(f22501,plain,
( ! [X0,X1] :
( s(cart(real,sK121),X0) != s(cart(real,sK121),sK303(sK121,sK122))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))
| s(cart(real,sK121),X1) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK302(sK121,sK122)),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1))))) )
| ~ spl2971_210 ),
inference(superposition,[],[f9116,f18673]) ).
fof(f22525,plain,
( ! [X0,X1] :
( s(cart(real,sK121),X0) != s(cart(real,sK121),sK303(sK121,sK122))
| s(cart(real,sK121),X1) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK302(sK121,sK122)),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1))))) )
| ~ spl2971_210 ),
inference(forward_subsumption_resolution,[],[f22501,f8749]) ).
fof(f22530,definition,
( spl2971_272
<=> ! [X1] : s(cart(real,sK121),X1) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK302(sK121,sK122)),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1))))) ),
introduced(definition,[new_symbols(definition,[spl2971_272])],[avatar_definition]) ).
fof(f22531,plain,
( ! [X1] : s(cart(real,sK121),X1) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK302(sK121,sK122)),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),X1)))))
| ~ spl2971_272 ),
inference(avatar_component_clause,[],[f22530]) ).
fof(f22533,plain,
( spl2971_272
| spl2971_179
| ~ spl2971_210 ),
inference(avatar_split_clause,[],[f22525,f18672,f16609,f22530]) ).
fof(f22574,plain,
( s(cart(real,sK121),sK124) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK302(sK121,sK122)),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),sK123)))))
| ~ spl2971_149
| ~ spl2971_272 ),
inference(superposition,[],[f22531,f15539]) ).
fof(f22662,plain,
( s(cart(real,sK121),sK123) = s(cart(real,sK121),sK124)
| ~ spl2971_149
| ~ spl2971_272 ),
inference(forward_demodulation,[],[f22574,f22531]) ).
fof(f22664,plain,
( $false
| ~ spl2971_149
| spl2971_151
| ~ spl2971_272 ),
inference(forward_subsumption_resolution,[],[f22662,f15549]) ).
fof(f22665,plain,
( ~ spl2971_149
| spl2971_151
| ~ spl2971_272 ),
inference(avatar_contradiction_clause,[],[f22664]) ).
fof(f22671,plain,
( spl2971_151
| ~ spl2971_147
| ~ spl2971_149 ),
inference(avatar_split_clause,[],[f20341,f15537,f15529,f15547]) ).
fof(f23091,plain,
( s(cart(real,sK121),sK125) = s(cart(real,sK121),sK126)
| ~ spl2971_217 ),
inference(equality_resolution,[],[f20007]) ).
fof(f23092,plain,
( $false
| spl2971_150
| ~ spl2971_217 ),
inference(forward_subsumption_resolution,[],[f23091,f15544]) ).
fof(f23093,plain,
( spl2971_150
| ~ spl2971_217 ),
inference(avatar_contradiction_clause,[],[f23092]) ).
fof(f23473,plain,
( ! [X0] : s(cart(real,sK121),X0) != s(cart(real,sK121),sK381(sK121,sK121,sK122))
| ~ spl2971_173
| ~ spl2971_211 ),
inference(superposition,[],[f19984,f16532]) ).
fof(f23551,plain,
( $false
| ~ spl2971_173
| ~ spl2971_211 ),
inference(equality_resolution,[],[f23473]) ).
fof(f23552,plain,
( ~ spl2971_173
| ~ spl2971_211 ),
inference(avatar_contradiction_clause,[],[f23551]) ).
fof(f23605,plain,
( ! [X0] :
( s(cart(real,sK121),sK305(sK121,sK122)) != s(cart(real,sK121),sK305(sK121,sK122))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK304(sK121,sK122)),s(cart(real,sK121),X0))))) )
| ~ spl2971_147
| ~ spl2971_172 ),
inference(superposition,[],[f9119,f16548]) ).
fof(f23623,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK121),cart(real,sK121)),bool),linear),s(fun(cart(real,sK121),cart(real,sK121)),sK122))))
| s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK304(sK121,sK122)),s(cart(real,sK121),X0))))) )
| ~ spl2971_147
| ~ spl2971_172 ),
inference(trivial_inequality_removal,[],[f23605]) ).
fof(f23624,plain,
( ! [X0] : s(cart(real,sK121),X0) = s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK122),s(cart(real,sK121),i(s(fun(cart(real,sK121),cart(real,sK121)),sK304(sK121,sK122)),s(cart(real,sK121),X0)))))
| ~ spl2971_147
| ~ spl2971_172 ),
inference(forward_subsumption_resolution,[],[f23623,f8749]) ).
fof(f23625,plain,
( spl2971_173
| ~ spl2971_147
| ~ spl2971_172 ),
inference(avatar_split_clause,[],[f23624,f16527,f15529,f16531]) ).
cnf(s128,plain,
( spl2971_146
| spl2971_147 ),
inference(sat_conversion,[],[f15531]) ).
cnf(s129,plain,
( spl2971_148
| spl2971_149 ),
inference(sat_conversion,[],[f15540]) ).
cnf(s130,plain,
( spl2971_149
| ~ spl2971_150 ),
inference(sat_conversion,[],[f15545]) ).
cnf(s131,plain,
( spl2971_148
| ~ spl2971_151 ),
inference(sat_conversion,[],[f15550]) ).
cnf(s132,plain,
( ~ spl2971_150
| ~ spl2971_151 ),
inference(sat_conversion,[],[f15551]) ).
cnf(s169,plain,
( ~ spl2971_146
| ~ spl2971_148
| spl2971_150 ),
inference(sat_conversion,[],[f16490]) ).
cnf(s171,plain,
( spl2971_172
| spl2971_173 ),
inference(sat_conversion,[],[f16533]) ).
cnf(s176,plain,
spl2971_180,
inference(sat_conversion,[],[f16646]) ).
cnf(s192,plain,
( ~ spl2971_180
| spl2971_209
| spl2971_210 ),
inference(sat_conversion,[],[f18674]) ).
cnf(s205,plain,
( ~ spl2971_148
| spl2971_211
| spl2971_217 ),
inference(sat_conversion,[],[f20018]) ).
cnf(s234,plain,
~ spl2971_179,
inference(sat_conversion,[],[f20683]) ).
cnf(s235,plain,
( ~ spl2971_146
| ~ spl2971_209
| spl2971_212 ),
inference(sat_conversion,[],[f20726]) ).
cnf(s244,plain,
( ~ spl2971_180
| spl2971_210
| ~ spl2971_212 ),
inference(sat_conversion,[],[f21130]) ).
cnf(s265,plain,
( spl2971_179
| ~ spl2971_210
| spl2971_272 ),
inference(sat_conversion,[],[f22533]) ).
cnf(s270,plain,
( ~ spl2971_149
| spl2971_151
| ~ spl2971_272 ),
inference(sat_conversion,[],[f22665]) ).
cnf(s273,plain,
( ~ spl2971_147
| ~ spl2971_149
| spl2971_151 ),
inference(sat_conversion,[],[f22671]) ).
cnf(s285,plain,
( spl2971_150
| ~ spl2971_217 ),
inference(sat_conversion,[],[f23093]) ).
cnf(s293,plain,
( ~ spl2971_173
| ~ spl2971_211 ),
inference(sat_conversion,[],[f23552]) ).
cnf(s294,plain,
( ~ spl2971_147
| ~ spl2971_172
| spl2971_173 ),
inference(sat_conversion,[],[f23625]) ).
cnf(s305,plain,
( spl2971_148
| ~ spl2971_147 ),
inference(rat,[],[s273,s129,s131]) ).
cnf(s306,plain,
( spl2971_173
| ~ spl2971_147 ),
inference(rat,[],[s294,s171]) ).
cnf(s307,plain,
~ spl2971_147,
inference(rat,[],[s273,s130,s132,s285,s205,s293,s306,s305]) ).
cnf(s311,plain,
spl2971_146,
inference(rat,[],[s128,s307]) ).
cnf(s313,plain,
spl2971_210,
inference(rat,[],[s235,s192,s244,s311,s176]) ).
cnf(s314,plain,
spl2971_272,
inference(rat,[],[s265,s234,s313]) ).
cnf(s318,plain,
~ spl2971_150,
inference(rat,[],[s270,s130,s132,s314]) ).
cnf(s320,plain,
~ spl2971_148,
inference(rat,[],[s169,s311,s318]) ).
cnf(s321,plain,
~ spl2971_151,
inference(rat,[],[s131,s320]) ).
cnf(s322,plain,
spl2971_149,
inference(rat,[],[s129,s320]) ).
cnf(s323,plain,
$false,
inference(rat,[],[s270,s314,s321,s322]) ).
fof(f23626,plain,
$false,
inference(avatar_sat_refutation,[],[s323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO475+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:19:17 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.60/3.61 % (3675241)Detected formulas, will run a generic FOF schedule.
% 12.60/3.61 % (3675246)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=3742939608:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 12.60/3.61 % (3675247)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=3917796572:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 12.60/3.61 % (3675252)dis-21_1_sil=8000:lcm=predicate:random_seed=242495401:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 12.60/3.61 % (3675248)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=594257480:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 12.60/3.61 % (3675250)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=587662407:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 12.60/3.61 % (3675249)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2252275878:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 12.60/3.61 % (3675251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2686493576:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 12.60/3.61 % (3675251)Instruction limit reached!
% 12.60/3.61 % (3675251)------------------------------
% 12.60/3.61 % (3675251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/3.61 % (3675251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/3.61 % (3675251)CaDiCaL version: 2.1.3
% 12.60/3.61 % (3675251)Termination reason: Instruction limit
% 12.60/3.61 % (3675251)Termination phase: Property scanning
% 12.60/3.61 % (3675251)Time elapsed: 0.048 s
% 12.60/3.61 % (3675251)Peak memory usage: 90 MB
% 12.60/3.61 % (3675251)Instructions burned: 141 (million)
% 12.60/3.61 % (3675249)Instruction limit reached!
% 12.60/3.61 % (3675249)------------------------------
% 12.60/3.61 % (3675249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/3.61 % (3675249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/3.61 % (3675249)CaDiCaL version: 2.1.3
% 12.60/3.61 % (3675249)Termination reason: Instruction limit
% 12.60/3.61 % (3675249)Termination phase: Inequality splitting
% 12.60/3.61 % (3675249)Time elapsed: 0.057 s
% 12.60/3.61 % (3675249)Peak memory usage: 92 MB
% 12.60/3.61 % (3675249)Instructions burned: 111 (million)
% 12.60/3.61 % (3675252)Instruction limit reached!
% 12.60/3.61 % (3675252)------------------------------
% 12.60/3.61 % (3675252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/3.61 % (3675252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/3.61 % (3675252)CaDiCaL version: 2.1.3
% 12.60/3.61 % (3675252)Termination reason: Instruction limit
% 12.60/3.61 % (3675252)Termination phase: SInE selection
% 12.60/3.61 % (3675252)Time elapsed: 0.064 s
% 12.60/3.61 % (3675252)Peak memory usage: 90 MB
% 12.60/3.61 % (3675252)Instructions burned: 131 (million)
% 12.60/3.61 % (3675250)Instruction limit reached!
% 12.60/3.61 % (3675250)------------------------------
% 12.60/3.61 % (3675250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/3.61 % (3675250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/3.61 % (3675250)CaDiCaL version: 2.1.3
% 12.60/3.61 % (3675250)Termination reason: Instruction limit
% 12.60/3.61 % (3675250)Termination phase: Preprocessing 1
% 12.60/3.61 % (3675250)Time elapsed: 0.064 s
% 12.60/3.61 % (3675250)Peak memory usage: 91 MB
% 12.60/3.61 % (3675250)Instructions burned: 119 (million)
% 12.60/3.61 % (3675260)lrs+10_1_sil=8000:sp=occurrence:random_seed=1889287626:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.60/3.61 % (3675261)lrs+10_1_sil=32000:urr=on:br=off:random_seed=434273348:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 12.60/3.61 % (3675263)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=1729385195:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 12.60/3.61 % (3675262)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2502690423:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.60/3.61 % (3675261)Instruction limit reached!
% 20.21/4.62 % (3675261)------------------------------
% 20.21/4.62 % (3675261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.62 % (3675261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.62 % (3675261)CaDiCaL version: 2.1.3
% 20.21/4.62 % (3675261)Termination reason: Instruction limit
% 20.21/4.62 % (3675261)Termination phase: Property scanning
% 20.21/4.62 % (3675261)Time elapsed: 0.054 s
% 20.21/4.62 % (3675261)Peak memory usage: 90 MB
% 20.21/4.62 % (3675261)Instructions burned: 160 (million)
% 20.21/4.62 % (3675263)Instruction limit reached!
% 20.21/4.62 % (3675263)------------------------------
% 20.21/4.62 % (3675263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.62 % (3675263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.62 % (3675263)CaDiCaL version: 2.1.3
% 20.21/4.62 % (3675263)Termination reason: Instruction limit
% 20.21/4.62 % (3675263)Termination phase: Property scanning
% 20.21/4.62 % (3675263)Time elapsed: 0.085 s
% 20.21/4.62 % (3675263)Peak memory usage: 90 MB
% 20.21/4.62 % (3675263)Instructions burned: 250 (million)
% 20.21/4.62 % (3675260)Instruction limit reached!
% 20.21/4.62 % (3675260)------------------------------
% 20.21/4.62 % (3675260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.62 % (3675260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.62 % (3675260)CaDiCaL version: 2.1.3
% 20.21/4.62 % (3675260)Termination reason: Instruction limit
% 20.21/4.62 % (3675260)Termination phase: Property scanning
% 20.21/4.62 % (3675260)Time elapsed: 0.139 s
% 20.21/4.62 % (3675260)Peak memory usage: 96 MB
% 20.21/4.62 % (3675260)Instructions burned: 286 (million)
% 20.21/4.62 % (3675262)Instruction limit reached!
% 20.21/4.62 % (3675262)------------------------------
% 20.21/4.62 % (3675262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.62 % (3675262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.62 % (3675262)CaDiCaL version: 2.1.3
% 20.21/4.62 % (3675262)Termination reason: Instruction limit
% 20.21/4.62 % (3675262)Termination phase: Saturation
% 20.21/4.62 % (3675262)Time elapsed: 0.180 s
% 20.21/4.62 % (3675262)Peak memory usage: 97 MB
% 20.21/4.62 % (3675262)Instructions burned: 326 (million)
% 20.21/4.62 % (3675268)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1900923117:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 20.21/4.62 % (3675269)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=439744303:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 20.21/4.62 % (3675270)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=332250376:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 20.21/4.62 % (3675270)Instruction limit reached!
% 20.21/4.62 % (3675270)------------------------------
% 20.21/4.62 % (3675270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.62 % (3675270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.62 % (3675270)CaDiCaL version: 2.1.3
% 20.21/4.62 % (3675270)Termination reason: Instruction limit
% 20.21/4.62 % (3675270)Termination phase: Preprocessing 1
% 20.21/4.62 % (3675270)Time elapsed: 0.062 s
% 20.21/4.62 % (3675270)Peak memory usage: 91 MB
% 20.21/4.62 % (3675270)Instructions burned: 113 (million)
% 20.21/4.62 % (3675268)Instruction limit reached!
% 20.21/4.62 % (3675268)------------------------------
% 20.21/4.62 % (3675268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.62 % (3675268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.62 % (3675268)CaDiCaL version: 2.1.3
% 20.21/4.62 % (3675268)Termination reason: Instruction limit
% 20.21/4.62 % (3675268)Termination phase: Preprocessing 3
% 20.21/4.62 % (3675268)Time elapsed: 0.146 s
% 20.21/4.62 % (3675268)Peak memory usage: 95 MB
% 20.21/4.62 % (3675268)Instructions burned: 294 (million)
% 20.21/4.62 % (3675271)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2276010748:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 20.21/4.62 % (3675271)Instruction limit reached!
% 20.21/4.62 % (3675271)------------------------------
% 20.21/4.62 % (3675271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/4.62 % (3675271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/4.62 % (3675271)CaDiCaL version: 2.1.3
% 55.19/9.55 % (3675271)Termination reason: Instruction limit
% 55.19/9.55 % (3675271)Termination phase: Naming
% 55.19/9.55 % (3675271)Time elapsed: 0.072 s
% 55.19/9.55 % (3675271)Peak memory usage: 94 MB
% 55.19/9.55 % (3675271)Instructions burned: 127 (million)
% 55.19/9.55 % (3675275)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2659501734:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 55.19/9.55 % (3675276)lrs+10_1_sil=8000:sp=occurrence:random_seed=122551452:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 55.19/9.55 % (3675275)Instruction limit reached!
% 55.19/9.55 % (3675275)------------------------------
% 55.19/9.55 % (3675275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.19/9.55 % (3675275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.19/9.55 % (3675275)CaDiCaL version: 2.1.3
% 55.19/9.55 % (3675275)Termination reason: Instruction limit
% 55.19/9.55 % (3675275)Termination phase: Property scanning
% 55.19/9.55 % (3675275)Time elapsed: 0.040 s
% 55.19/9.55 % (3675275)Peak memory usage: 90 MB
% 55.19/9.55 % (3675275)Instructions burned: 116 (million)
% 55.19/9.55 % (3675278)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2402237805:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 55.19/9.55 % (3675281)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2245799012:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 55.19/9.55 % (3675278)Instruction limit reached!
% 55.19/9.55 % (3675278)------------------------------
% 55.19/9.55 % (3675278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.19/9.55 % (3675278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.19/9.55 % (3675278)CaDiCaL version: 2.1.3
% 55.19/9.55 % (3675278)Termination reason: Instruction limit
% 55.19/9.55 % (3675278)Termination phase: Property scanning
% 55.19/9.55 % (3675278)Time elapsed: 0.223 s
% 55.19/9.55 % (3675278)Peak memory usage: 100 MB
% 55.19/9.55 % (3675278)Instructions burned: 439 (million)
% 55.19/9.55 % (3675276)Instruction limit reached!
% 55.19/9.55 % (3675276)------------------------------
% 55.19/9.55 % (3675276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.19/9.55 % (3675276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.19/9.55 % (3675276)CaDiCaL version: 2.1.3
% 55.19/9.55 % (3675276)Termination reason: Instruction limit
% 55.19/9.55 % (3675276)Termination phase: Property scanning
% 55.19/9.55 % (3675276)Time elapsed: 0.390 s
% 55.19/9.55 % (3675276)Peak memory usage: 101 MB
% 55.19/9.55 % (3675276)Instructions burned: 908 (million)
% 55.19/9.55 % (3675284)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3249868855:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 55.19/9.55 % (3675284)Instruction limit reached!
% 55.19/9.55 % (3675284)------------------------------
% 55.19/9.55 % (3675284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.19/9.55 % (3675284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.19/9.55 % (3675284)CaDiCaL version: 2.1.3
% 55.19/9.55 % (3675284)Termination reason: Instruction limit
% 55.19/9.55 % (3675284)Termination phase: Preprocessing 1
% 55.19/9.55 % (3675284)Time elapsed: 0.077 s
% 55.19/9.55 % (3675284)Peak memory usage: 91 MB
% 55.19/9.55 % (3675284)Instructions burned: 135 (million)
% 55.19/9.55 % (3675285)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1526604934:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 55.19/9.55 % (3675269)Instruction limit reached!
% 55.19/9.55 % (3675269)------------------------------
% 55.19/9.55 % (3675269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.19/9.55 % (3675269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.19/9.55 % (3675269)CaDiCaL version: 2.1.3
% 55.19/9.55 % (3675269)Termination reason: Instruction limit
% 55.19/9.55 % (3675269)Termination phase: Twee Goal Transformation
% 55.19/9.55 % (3675269)Time elapsed: 0.890 s
% 55.19/9.55 % (3675269)Peak memory usage: 106 MB
% 55.19/9.55 % (3675269)Instructions burned: 2353 (million)
% 55.19/9.55 % (3675288)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3549110233:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 55.19/9.55 % (3675289)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=1351843479:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 50.73/9.89 % (3675289)Instruction limit reached!
% 50.73/9.89 % (3675289)------------------------------
% 50.73/9.89 % (3675289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675289)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675289)Termination reason: Instruction limit
% 50.73/9.89 % (3675289)Termination phase: Property scanning
% 50.73/9.89 % (3675289)Time elapsed: 0.044 s
% 50.73/9.89 % (3675289)Peak memory usage: 90 MB
% 50.73/9.89 % (3675289)Instructions burned: 126 (million)
% 50.73/9.89 % (3675285)Instruction limit reached!
% 50.73/9.89 % (3675285)------------------------------
% 50.73/9.89 % (3675285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675285)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675285)Termination reason: Instruction limit
% 50.73/9.89 % (3675285)Termination phase: Preprocessing 3
% 50.73/9.89 % (3675285)Time elapsed: 0.301 s
% 50.73/9.89 % (3675285)Peak memory usage: 102 MB
% 50.73/9.89 % (3675285)Instructions burned: 594 (million)
% 50.73/9.89 % (3675292)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1868408797:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 50.73/9.89 % (3675293)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=227140978:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 50.73/9.89 % (3675292)Instruction limit reached!
% 50.73/9.89 % (3675292)------------------------------
% 50.73/9.89 % (3675292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675292)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675292)Termination reason: Instruction limit
% 50.73/9.89 % (3675292)Termination phase: Property scanning
% 50.73/9.89 % (3675292)Time elapsed: 0.048 s
% 50.73/9.89 % (3675292)Peak memory usage: 90 MB
% 50.73/9.89 % (3675292)Instructions burned: 137 (million)
% 50.73/9.89 % (3675293)Instruction limit reached!
% 50.73/9.89 % (3675293)------------------------------
% 50.73/9.89 % (3675293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675293)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675293)Termination reason: Instruction limit
% 50.73/9.89 % (3675293)Termination phase: Saturation
% 50.73/9.89 % (3675293)Time elapsed: 0.074 s
% 50.73/9.89 % (3675293)Peak memory usage: 94 MB
% 50.73/9.89 % (3675293)Instructions burned: 143 (million)
% 50.73/9.89 % (3675296)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1203418400:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 50.73/9.89 % (3675296)Refutation not found, incomplete strategy
% 50.73/9.89 % (3675296)------------------------------
% 50.73/9.89 % (3675296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675296)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675296)Termination reason: Refutation not found, incomplete strategy
% 50.73/9.89 % (3675296)Time elapsed: 0.073 s
% 50.73/9.89 % (3675296)Peak memory usage: 95 MB
% 50.73/9.89 % (3675296)Instructions burned: 131 (million)
% 50.73/9.89 % (3675297)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=2932905166:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 50.73/9.89 % (3675296)------------------------------
% 50.73/9.89 % (3675296)------------------------------
% 50.73/9.89 % (3675300)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=2950462343:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 50.73/9.89 % (3675300)Instruction limit reached!
% 50.73/9.89 % (3675300)------------------------------
% 50.73/9.89 % (3675300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675300)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675300)Termination reason: Instruction limit
% 50.73/9.89 % (3675300)Termination phase: Preprocessing 1
% 50.73/9.89 % (3675300)Time elapsed: 0.086 s
% 50.73/9.89 % (3675300)Peak memory usage: 91 MB
% 50.73/9.89 % (3675300)Instructions burned: 151 (million)
% 50.73/9.89 % (3675302)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3755315883:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 50.73/9.89 % (3675281)Instruction limit reached!
% 50.73/9.89 % (3675281)------------------------------
% 50.73/9.89 % (3675281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675281)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675281)Termination reason: Instruction limit
% 50.73/9.89 % (3675281)Termination phase: Saturation
% 50.73/9.89 % (3675281)Time elapsed: 2.933 s
% 50.73/9.89 % (3675281)Peak memory usage: 211 MB
% 50.73/9.89 % (3675281)Instructions burned: 5203 (million)
% 50.73/9.89 % (3675304)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3653968672:i=667:av=off:fsr=off_2948 on theBenchmark for (2948ds/667Mi)
% 50.73/9.89 % (3675304)Instruction limit reached!
% 50.73/9.89 % (3675304)------------------------------
% 50.73/9.89 % (3675304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675304)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675304)Termination reason: Instruction limit
% 50.73/9.89 % (3675304)Termination phase: Property scanning
% 50.73/9.89 % (3675304)Time elapsed: 0.332 s
% 50.73/9.89 % (3675304)Peak memory usage: 103 MB
% 50.73/9.89 % (3675304)Instructions burned: 670 (million)
% 50.73/9.89 % (3675306)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=3691190009:s2a=on:i=185:s2at=1.8:fdi=4_2943 on theBenchmark for (2943ds/185Mi)
% 50.73/9.89 % (3675306)Instruction limit reached!
% 50.73/9.89 % (3675306)------------------------------
% 50.73/9.89 % (3675306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675306)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675306)Termination reason: Instruction limit
% 50.73/9.89 % (3675306)Termination phase: Preprocessing 1
% 50.73/9.89 % (3675306)Time elapsed: 0.097 s
% 50.73/9.89 % (3675306)Peak memory usage: 91 MB
% 50.73/9.89 % (3675306)Instructions burned: 187 (million)
% 50.73/9.89 % (3675308)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=5394814:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2940 on theBenchmark for (2940ds/193Mi)
% 50.73/9.89 % (3675308)Instruction limit reached!
% 50.73/9.89 % (3675308)------------------------------
% 50.73/9.89 % (3675308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675308)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675308)Termination reason: Instruction limit
% 50.73/9.89 % (3675308)Termination phase: SInE selection
% 50.73/9.89 % (3675308)Time elapsed: 0.103 s
% 50.73/9.89 % (3675308)Peak memory usage: 90 MB
% 50.73/9.89 % (3675308)Instructions burned: 194 (million)
% 50.73/9.89 % (3675310)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=161284066:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2938 on theBenchmark for (2938ds/4850Mi)
% 50.73/9.89 % (3675297)Instruction limit reached!
% 50.73/9.89 % (3675297)------------------------------
% 50.73/9.89 % (3675297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675297)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675297)Termination reason: Instruction limit
% 50.73/9.89 % (3675297)Termination phase: Saturation
% 50.73/9.89 % (3675297)Time elapsed: 3.578 s
% 50.73/9.89 % (3675297)Peak memory usage: 402 MB
% 50.73/9.89 % (3675297)Instructions burned: 6064 (million)
% 50.73/9.89 % (3675312)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2021076242:i=12111:sd=1:ss=included_2931 on theBenchmark for (2931ds/12111Mi)
% 50.73/9.89 % (3675288)First to succeed.
% 50.73/9.89 % (3675288)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3675241"
% 50.73/9.89 % (3675310)Instruction limit reached!
% 50.73/9.89 % (3675310)------------------------------
% 50.73/9.89 % (3675310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.73/9.89 % (3675310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.73/9.89 % (3675310)CaDiCaL version: 2.1.3
% 50.73/9.89 % (3675310)Termination reason: Instruction limit
% 50.73/9.89 % (3675310)Termination phase: Saturation
% 50.73/9.89 % (3675310)Time elapsed: 2.509 s
% 50.73/9.89 % (3675310)Peak memory usage: 133 MB
% 50.73/9.89 % (3675310)Instructions burned: 4850 (million)
% 50.73/9.89 % (3675288)Refutation found. Thanks to Tanya!
% 50.73/9.89 % SZS status Theorem for theBenchmark
% 50.73/9.89 % SZS output start Proof for theBenchmark
% See solution above
% 58.04/10.08 % (3675288)------------------------------
% 58.04/10.08 % (3675288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.04/10.08 % (3675288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.04/10.08 % (3675288)CaDiCaL version: 2.1.3
% 58.04/10.08 % (3675288)Termination reason: Refutation
% 58.04/10.08 % (3675288)Time elapsed: 6.012 s
% 58.04/10.08 % (3675288)Peak memory usage: 352 MB
% 58.04/10.08 % (3675288)Instructions burned: 10547 (million)
% 58.04/10.08 % (3675288)------------------------------
% 58.04/10.09 % (3675288)------------------------------
% 58.04/10.09 % (3675241)Success in time 9.04 s
% 58.04/10.09 % Vampire exiting
%------------------------------------------------------------------------------