%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO467+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:43 AM UTC 2026
% Result : Theorem 32.75s 7.10s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 47
% Syntax : Number of formulae : 216 ( 128 unt; 43 def)
% Number of atoms : 425 ( 106 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 369 ( 160 ~; 189 |; 13 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 43 con; 0-5 aty)
% Number of variables : 277 ( 0 sgn 265 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1650,axiom,
! [X0,X1,X2] : s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1))) = s(bool,i(s(fun(X0,bool),X1),s(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aIN) ).
fof(f3305,axiom,
! [X0,X1,X2,X3,X4] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
& ! [X5] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X4))))
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,X5))))),s(fun(cart(real,X1),bool),X2)))) ) )
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSUBSPACEu_VSUM) ).
fof(f3315,axiom,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSUBSPACEu_SPAN) ).
fof(f3339,conjecture,
! [X0,X1,X2,X3,X4] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
& ! [X5] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X4))))
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,X5))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ) )
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSPANu_VSUM) ).
fof(f3340,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
& ! [X5] :
( p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X4))))
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,X5))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ) )
=> p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2)))))) ),
inference(negated_conjecture,[status(cth)],[f3339]) ).
fof(f6121,plain,
! [X0,X1,X2,X3,X4] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
| ? [X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,X5))))),s(fun(cart(real,X1),bool),X2))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X4)))) ) ),
inference(ennf_transformation,[],[f3305]) ).
fof(f6122,plain,
! [X0,X1,X2,X3,X4] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
| ? [X5] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,X5))))),s(fun(cart(real,X1),bool),X2))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X4)))) ) ),
inference(flattening,[],[f6121]) ).
fof(f6158,plain,
? [X0,X1,X2,X3,X4] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2))))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
& ! [X5] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,X5))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X4)))) ) ),
inference(ennf_transformation,[],[f3340]) ).
fof(f6159,plain,
? [X0,X1,X2,X3,X4] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2))))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
& ! [X5] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,X5))))),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X5))),s(fun(X0,bool),X4)))) ) ),
inference(flattening,[],[f6158]) ).
fof(f10105,plain,
! [X0,X1,X2,X3,X4] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
| ( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,sK4099(X0,X1,X2,X3,X4)))))),s(fun(cart(real,X1),bool),X2))))
& p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK4099(X0,X1,X2,X3,X4)))),s(fun(X0,bool),X4)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4099]),skolemize(X5,sK4099(X0,X1,X2,X3,X4))],[f6122]) ).
fof(f10117,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK4113),bool),bool),i(s(fun(cart(real,sK4113),fun(fun(cart(real,sK4113),bool),bool)),in),s(cart(real,sK4113),i(s(fun(fun(sK4112,cart(real,sK4113)),cart(real,sK4113)),i(s(fun(fun(sK4112,bool),fun(fun(sK4112,cart(real,sK4113)),cart(real,sK4113))),vsum),s(fun(sK4112,bool),sK4116))),s(fun(sK4112,cart(real,sK4113)),sK4115))))),s(fun(cart(real,sK4113),bool),i(s(fun(fun(cart(real,sK4113),bool),fun(cart(real,sK4113),bool)),span),s(fun(cart(real,sK4113),bool),sK4114))))))
& p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),sK4116))))
& ! [X5] :
( p(s(bool,i(s(fun(fun(cart(real,sK4113),bool),bool),i(s(fun(cart(real,sK4113),fun(fun(cart(real,sK4113),bool),bool)),in),s(cart(real,sK4113),i(s(fun(sK4112,cart(real,sK4113)),sK4115),s(sK4112,X5))))),s(fun(cart(real,sK4113),bool),i(s(fun(fun(cart(real,sK4113),bool),fun(cart(real,sK4113),bool)),span),s(fun(cart(real,sK4113),bool),sK4114))))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),i(s(fun(sK4112,fun(fun(sK4112,bool),bool)),in),s(sK4112,X5))),s(fun(sK4112,bool),sK4116)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4112,sK4113,sK4114,sK4115,sK4116]),skolemize(X0,sK4112),skolemize(X1,sK4113),skolemize(X2,sK4114),skolemize(X3,sK4115),skolemize(X4,sK4116)],[f6159]) ).
fof(f13016,plain,
! [X2,X0,X1] : s(bool,i(s(fun(X0,bool),X1),s(X0,X2))) = s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1))),
inference(cnf_transformation,[],[f1650]) ).
fof(f17333,plain,
! [X2,X3,X0,X1,X4] :
( p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),X2))))
| p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,sK4099(X0,X1,X2,X3,X4)))),s(fun(X0,bool),X4))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2)))) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f17334,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(X0,cart(real,X1)),X3),s(X0,sK4099(X0,X1,X2,X3,X4)))))),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X4))))
| p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),s(cart(real,X1),i(s(fun(fun(X0,cart(real,X1)),cart(real,X1)),i(s(fun(fun(X0,bool),fun(fun(X0,cart(real,X1)),cart(real,X1))),vsum),s(fun(X0,bool),X4))),s(fun(X0,cart(real,X1)),X3))))),s(fun(cart(real,X1),bool),X2)))) ),
inference(cnf_transformation,[],[f10105]) ).
fof(f17352,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(cnf_transformation,[],[f3315]) ).
fof(f17379,plain,
! [X5] :
( p(s(bool,i(s(fun(fun(cart(real,sK4113),bool),bool),i(s(fun(cart(real,sK4113),fun(fun(cart(real,sK4113),bool),bool)),in),s(cart(real,sK4113),i(s(fun(sK4112,cart(real,sK4113)),sK4115),s(sK4112,X5))))),s(fun(cart(real,sK4113),bool),i(s(fun(fun(cart(real,sK4113),bool),fun(cart(real,sK4113),bool)),span),s(fun(cart(real,sK4113),bool),sK4114))))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),i(s(fun(sK4112,fun(fun(sK4112,bool),bool)),in),s(sK4112,X5))),s(fun(sK4112,bool),sK4116)))) ),
inference(cnf_transformation,[],[f10117]) ).
fof(f17380,plain,
p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),sK4116)))),
inference(cnf_transformation,[],[f10117]) ).
fof(f17381,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK4113),bool),bool),i(s(fun(cart(real,sK4113),fun(fun(cart(real,sK4113),bool),bool)),in),s(cart(real,sK4113),i(s(fun(fun(sK4112,cart(real,sK4113)),cart(real,sK4113)),i(s(fun(fun(sK4112,bool),fun(fun(sK4112,cart(real,sK4113)),cart(real,sK4113))),vsum),s(fun(sK4112,bool),sK4116))),s(fun(sK4112,cart(real,sK4113)),sK4115))))),s(fun(cart(real,sK4113),bool),i(s(fun(fun(cart(real,sK4113),bool),fun(cart(real,sK4113),bool)),span),s(fun(cart(real,sK4113),bool),sK4114)))))),
inference(cnf_transformation,[],[f10117]) ).
fof(f17382,definition,
sF4117 = cart(real,sK4113),
introduced(definition,[new_symbols(definition,[sF4117])],[function_definition]) ).
fof(f17383,plain,
cart(real,sK4113) = sF4117,
inference(reorient_equations,[],[f17382]) ).
fof(f17384,definition,
sF4118 = fun(sF4117,bool),
introduced(definition,[new_symbols(definition,[sF4118])],[function_definition]) ).
fof(f17385,plain,
fun(sF4117,bool) = sF4118,
inference(reorient_equations,[],[f17384]) ).
fof(f17386,definition,
sF4119 = fun(sF4118,bool),
introduced(definition,[new_symbols(definition,[sF4119])],[function_definition]) ).
fof(f17387,plain,
fun(sF4118,bool) = sF4119,
inference(reorient_equations,[],[f17386]) ).
fof(f17388,definition,
sF4120 = fun(sF4117,sF4119),
introduced(definition,[new_symbols(definition,[sF4120])],[function_definition]) ).
fof(f17389,plain,
fun(sF4117,sF4119) = sF4120,
inference(reorient_equations,[],[f17388]) ).
fof(f17390,definition,
sF4121 = s(sF4120,in),
introduced(definition,[new_symbols(definition,[sF4121])],[function_definition]) ).
fof(f17391,plain,
s(sF4120,in) = sF4121,
inference(reorient_equations,[],[f17390]) ).
fof(f17392,definition,
sF4122 = fun(sK4112,sF4117),
introduced(definition,[new_symbols(definition,[sF4122])],[function_definition]) ).
fof(f17393,plain,
fun(sK4112,sF4117) = sF4122,
inference(reorient_equations,[],[f17392]) ).
fof(f17394,definition,
sF4123 = fun(sF4122,sF4117),
introduced(definition,[new_symbols(definition,[sF4123])],[function_definition]) ).
fof(f17395,plain,
fun(sF4122,sF4117) = sF4123,
inference(reorient_equations,[],[f17394]) ).
fof(f17396,definition,
sF4124 = fun(sK4112,bool),
introduced(definition,[new_symbols(definition,[sF4124])],[function_definition]) ).
fof(f17397,plain,
fun(sK4112,bool) = sF4124,
inference(reorient_equations,[],[f17396]) ).
fof(f17398,definition,
sF4125 = fun(sF4124,sF4123),
introduced(definition,[new_symbols(definition,[sF4125])],[function_definition]) ).
fof(f17399,plain,
fun(sF4124,sF4123) = sF4125,
inference(reorient_equations,[],[f17398]) ).
fof(f17400,definition,
sF4126 = s(sF4125,vsum),
introduced(definition,[new_symbols(definition,[sF4126])],[function_definition]) ).
fof(f17401,plain,
s(sF4125,vsum) = sF4126,
inference(reorient_equations,[],[f17400]) ).
fof(f17402,definition,
sF4127 = s(sF4124,sK4116),
introduced(definition,[new_symbols(definition,[sF4127])],[function_definition]) ).
fof(f17403,plain,
s(sF4124,sK4116) = sF4127,
inference(reorient_equations,[],[f17402]) ).
fof(f17404,definition,
sF4128 = i(sF4126,sF4127),
introduced(definition,[new_symbols(definition,[sF4128])],[function_definition]) ).
fof(f17405,plain,
i(sF4126,sF4127) = sF4128,
inference(reorient_equations,[],[f17404]) ).
fof(f17406,definition,
sF4129 = s(sF4123,sF4128),
introduced(definition,[new_symbols(definition,[sF4129])],[function_definition]) ).
fof(f17407,plain,
s(sF4123,sF4128) = sF4129,
inference(reorient_equations,[],[f17406]) ).
fof(f17408,definition,
sF4130 = s(sF4122,sK4115),
introduced(definition,[new_symbols(definition,[sF4130])],[function_definition]) ).
fof(f17409,plain,
s(sF4122,sK4115) = sF4130,
inference(reorient_equations,[],[f17408]) ).
fof(f17410,definition,
sF4131 = i(sF4129,sF4130),
introduced(definition,[new_symbols(definition,[sF4131])],[function_definition]) ).
fof(f17411,plain,
i(sF4129,sF4130) = sF4131,
inference(reorient_equations,[],[f17410]) ).
fof(f17412,definition,
sF4132 = s(sF4117,sF4131),
introduced(definition,[new_symbols(definition,[sF4132])],[function_definition]) ).
fof(f17413,plain,
s(sF4117,sF4131) = sF4132,
inference(reorient_equations,[],[f17412]) ).
fof(f17414,definition,
sF4133 = i(sF4121,sF4132),
introduced(definition,[new_symbols(definition,[sF4133])],[function_definition]) ).
fof(f17415,plain,
i(sF4121,sF4132) = sF4133,
inference(reorient_equations,[],[f17414]) ).
fof(f17416,definition,
sF4134 = s(sF4119,sF4133),
introduced(definition,[new_symbols(definition,[sF4134])],[function_definition]) ).
fof(f17417,plain,
s(sF4119,sF4133) = sF4134,
inference(reorient_equations,[],[f17416]) ).
fof(f17418,definition,
sF4135 = fun(sF4118,sF4118),
introduced(definition,[new_symbols(definition,[sF4135])],[function_definition]) ).
fof(f17419,plain,
fun(sF4118,sF4118) = sF4135,
inference(reorient_equations,[],[f17418]) ).
fof(f17420,definition,
sF4136 = s(sF4135,span),
introduced(definition,[new_symbols(definition,[sF4136])],[function_definition]) ).
fof(f17421,plain,
s(sF4135,span) = sF4136,
inference(reorient_equations,[],[f17420]) ).
fof(f17422,definition,
sF4137 = s(sF4118,sK4114),
introduced(definition,[new_symbols(definition,[sF4137])],[function_definition]) ).
fof(f17423,plain,
s(sF4118,sK4114) = sF4137,
inference(reorient_equations,[],[f17422]) ).
fof(f17424,definition,
sF4138 = i(sF4136,sF4137),
introduced(definition,[new_symbols(definition,[sF4138])],[function_definition]) ).
fof(f17425,plain,
i(sF4136,sF4137) = sF4138,
inference(reorient_equations,[],[f17424]) ).
fof(f17426,definition,
sF4139 = s(sF4118,sF4138),
introduced(definition,[new_symbols(definition,[sF4139])],[function_definition]) ).
fof(f17427,plain,
s(sF4118,sF4138) = sF4139,
inference(reorient_equations,[],[f17426]) ).
fof(f17428,definition,
sF4140 = i(sF4134,sF4139),
introduced(definition,[new_symbols(definition,[sF4140])],[function_definition]) ).
fof(f17429,plain,
i(sF4134,sF4139) = sF4140,
inference(reorient_equations,[],[f17428]) ).
fof(f17430,definition,
sF4141 = s(bool,sF4140),
introduced(definition,[new_symbols(definition,[sF4141])],[function_definition]) ).
fof(f17431,plain,
s(bool,sF4140) = sF4141,
inference(reorient_equations,[],[f17430]) ).
fof(f17432,plain,
~ p(sF4141),
inference(definition_folding,[],[f17381,f17431,f17429,f17427,f17425,f17423,f17385,f17383,f17421,f17419,f17385,f17383,f17385,f17383,f17385,f17383,f17417,f17415,f17413,f17411,f17409,f17393,f17383,f17407,f17405,f17403,f17397,f17401,f17399,f17395,f17383,f17393,f17383,f17397,f17395,f17383,f17393,f17383,f17383,f17391,f17389,f17387,f17385,f17383,f17383,f17387,f17385,f17383]) ).
fof(f17433,definition,
sF4142 = fun(sF4124,bool),
introduced(definition,[new_symbols(definition,[sF4142])],[function_definition]) ).
fof(f17434,plain,
fun(sF4124,bool) = sF4142,
inference(reorient_equations,[],[f17433]) ).
fof(f17435,definition,
sF4143 = s(sF4142,finite),
introduced(definition,[new_symbols(definition,[sF4143])],[function_definition]) ).
fof(f17436,plain,
s(sF4142,finite) = sF4143,
inference(reorient_equations,[],[f17435]) ).
fof(f17437,definition,
sF4144 = i(sF4143,sF4127),
introduced(definition,[new_symbols(definition,[sF4144])],[function_definition]) ).
fof(f17438,plain,
i(sF4143,sF4127) = sF4144,
inference(reorient_equations,[],[f17437]) ).
fof(f17439,definition,
sF4145 = s(bool,sF4144),
introduced(definition,[new_symbols(definition,[sF4145])],[function_definition]) ).
fof(f17440,plain,
s(bool,sF4144) = sF4145,
inference(reorient_equations,[],[f17439]) ).
fof(f17441,plain,
p(sF4145),
inference(definition_folding,[],[f17380,f17440,f17438,f17403,f17397,f17436,f17434,f17397]) ).
fof(f17442,definition,
! [X5] : sF4146(X5) = s(sK4112,X5),
introduced(definition,[new_symbols(definition,[sF4146])],[function_definition]) ).
fof(f17443,plain,
! [X5] : s(sK4112,X5) = sF4146(X5),
inference(reorient_equations,[],[f17442]) ).
fof(f17444,definition,
! [X5] : sF4147(X5) = i(sF4130,sF4146(X5)),
introduced(definition,[new_symbols(definition,[sF4147])],[function_definition]) ).
fof(f17445,plain,
! [X5] : i(sF4130,sF4146(X5)) = sF4147(X5),
inference(reorient_equations,[],[f17444]) ).
fof(f17446,definition,
! [X5] : sF4148(X5) = s(sF4117,sF4147(X5)),
introduced(definition,[new_symbols(definition,[sF4148])],[function_definition]) ).
fof(f17447,plain,
! [X5] : s(sF4117,sF4147(X5)) = sF4148(X5),
inference(reorient_equations,[],[f17446]) ).
fof(f17448,definition,
! [X5] : sF4149(X5) = i(sF4121,sF4148(X5)),
introduced(definition,[new_symbols(definition,[sF4149])],[function_definition]) ).
fof(f17449,plain,
! [X5] : i(sF4121,sF4148(X5)) = sF4149(X5),
inference(reorient_equations,[],[f17448]) ).
fof(f17450,definition,
! [X5] : sF4150(X5) = s(sF4119,sF4149(X5)),
introduced(definition,[new_symbols(definition,[sF4150])],[function_definition]) ).
fof(f17451,plain,
! [X5] : s(sF4119,sF4149(X5)) = sF4150(X5),
inference(reorient_equations,[],[f17450]) ).
fof(f17452,definition,
! [X5] : sF4151(X5) = i(sF4150(X5),sF4139),
introduced(definition,[new_symbols(definition,[sF4151])],[function_definition]) ).
fof(f17453,plain,
! [X5] : i(sF4150(X5),sF4139) = sF4151(X5),
inference(reorient_equations,[],[f17452]) ).
fof(f17454,definition,
! [X5] : sF4152(X5) = s(bool,sF4151(X5)),
introduced(definition,[new_symbols(definition,[sF4152])],[function_definition]) ).
fof(f17455,plain,
! [X5] : s(bool,sF4151(X5)) = sF4152(X5),
inference(reorient_equations,[],[f17454]) ).
fof(f17456,definition,
sF4153 = fun(sK4112,sF4142),
introduced(definition,[new_symbols(definition,[sF4153])],[function_definition]) ).
fof(f17457,plain,
fun(sK4112,sF4142) = sF4153,
inference(reorient_equations,[],[f17456]) ).
fof(f17458,definition,
sF4154 = s(sF4153,in),
introduced(definition,[new_symbols(definition,[sF4154])],[function_definition]) ).
fof(f17459,plain,
s(sF4153,in) = sF4154,
inference(reorient_equations,[],[f17458]) ).
fof(f17460,definition,
! [X5] : sF4155(X5) = i(sF4154,sF4146(X5)),
introduced(definition,[new_symbols(definition,[sF4155])],[function_definition]) ).
fof(f17461,plain,
! [X5] : i(sF4154,sF4146(X5)) = sF4155(X5),
inference(reorient_equations,[],[f17460]) ).
fof(f17462,definition,
! [X5] : sF4156(X5) = s(sF4142,sF4155(X5)),
introduced(definition,[new_symbols(definition,[sF4156])],[function_definition]) ).
fof(f17463,plain,
! [X5] : s(sF4142,sF4155(X5)) = sF4156(X5),
inference(reorient_equations,[],[f17462]) ).
fof(f17464,definition,
! [X5] : sF4157(X5) = i(sF4156(X5),sF4127),
introduced(definition,[new_symbols(definition,[sF4157])],[function_definition]) ).
fof(f17465,plain,
! [X5] : i(sF4156(X5),sF4127) = sF4157(X5),
inference(reorient_equations,[],[f17464]) ).
fof(f17466,definition,
! [X5] : sF4158(X5) = s(bool,sF4157(X5)),
introduced(definition,[new_symbols(definition,[sF4158])],[function_definition]) ).
fof(f17467,plain,
! [X5] : s(bool,sF4157(X5)) = sF4158(X5),
inference(reorient_equations,[],[f17466]) ).
fof(f17468,plain,
! [X5] :
( ~ p(sF4158(X5))
| p(sF4152(X5)) ),
inference(definition_folding,[],[f17379,f17467,f17465,f17403,f17397,f17463,f17461,f17443,f17459,f17457,f17434,f17397,f17434,f17397,f17455,f17453,f17427,f17425,f17423,f17385,f17383,f17421,f17419,f17385,f17383,f17385,f17383,f17385,f17383,f17451,f17449,f17447,f17445,f17443,f17409,f17393,f17383,f17383,f17391,f17389,f17387,f17385,f17383,f17383,f17387,f17385,f17383]) ).
fof(f19412,plain,
! [X0] : p(s(bool,i(s(fun(fun(sF4117,bool),bool),subspace),s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0)))))),
inference(superposition,[],[f17352,f17383]) ).
fof(f19413,plain,
! [X0] : p(s(bool,i(s(fun(sF4118,bool),subspace),s(sF4118,i(s(fun(sF4118,sF4118),span),s(sF4118,X0)))))),
inference(forward_demodulation,[],[f19412,f17385]) ).
fof(f19414,plain,
! [X0] : p(s(bool,i(s(fun(sF4118,bool),subspace),s(sF4118,i(s(sF4135,span),s(sF4118,X0)))))),
inference(forward_demodulation,[],[f19413,f17419]) ).
fof(f19415,plain,
! [X0] : p(s(bool,i(s(fun(sF4118,bool),subspace),s(sF4118,i(sF4136,s(sF4118,X0)))))),
inference(forward_demodulation,[],[f19414,f17421]) ).
fof(f19416,plain,
! [X0] : p(s(bool,i(s(sF4119,subspace),s(sF4118,i(sF4136,s(sF4118,X0)))))),
inference(forward_demodulation,[],[f19415,f17387]) ).
fof(f19421,plain,
! [X0] : s(bool,i(s(fun(sF4117,bool),X0),sF4132)) = s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),sF4132)),s(fun(sF4117,bool),X0))),
inference(superposition,[],[f13016,f17413]) ).
fof(f19422,plain,
! [X0,X1] : s(bool,i(s(fun(sF4117,bool),X1),sF4148(X0))) = s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),sF4148(X0))),s(fun(sF4117,bool),X1))),
inference(superposition,[],[f13016,f17447]) ).
fof(f19451,plain,
! [X0,X1] : s(bool,i(s(sF4118,X1),sF4148(X0))) = s(bool,i(s(fun(sF4118,bool),i(s(fun(sF4117,fun(sF4118,bool)),in),sF4148(X0))),s(sF4118,X1))),
inference(forward_demodulation,[],[f19422,f17385]) ).
fof(f19452,plain,
! [X0] : s(bool,i(s(sF4118,X0),sF4132)) = s(bool,i(s(fun(sF4118,bool),i(s(fun(sF4117,fun(sF4118,bool)),in),sF4132)),s(sF4118,X0))),
inference(forward_demodulation,[],[f19421,f17385]) ).
fof(f19458,plain,
! [X0,X1] : s(bool,i(s(sF4118,X1),sF4148(X0))) = s(bool,i(s(sF4119,i(s(fun(sF4117,sF4119),in),sF4148(X0))),s(sF4118,X1))),
inference(forward_demodulation,[],[f19451,f17387]) ).
fof(f19459,plain,
! [X0] : s(bool,i(s(sF4118,X0),sF4132)) = s(bool,i(s(sF4119,i(s(fun(sF4117,sF4119),in),sF4132)),s(sF4118,X0))),
inference(forward_demodulation,[],[f19452,f17387]) ).
fof(f19463,plain,
! [X0,X1] : s(bool,i(s(sF4118,X1),sF4148(X0))) = s(bool,i(s(sF4119,i(s(sF4120,in),sF4148(X0))),s(sF4118,X1))),
inference(forward_demodulation,[],[f19458,f17389]) ).
fof(f19464,plain,
! [X0] : s(bool,i(s(sF4118,X0),sF4132)) = s(bool,i(s(sF4119,i(s(sF4120,in),sF4132)),s(sF4118,X0))),
inference(forward_demodulation,[],[f19459,f17389]) ).
fof(f19467,plain,
! [X0,X1] : s(bool,i(s(sF4118,X1),sF4148(X0))) = s(bool,i(s(sF4119,i(sF4121,sF4148(X0))),s(sF4118,X1))),
inference(forward_demodulation,[],[f19463,f17391]) ).
fof(f19468,plain,
! [X0] : s(bool,i(s(sF4118,X0),sF4132)) = s(bool,i(s(sF4119,i(sF4121,sF4132)),s(sF4118,X0))),
inference(forward_demodulation,[],[f19464,f17391]) ).
fof(f19471,plain,
! [X0,X1] : s(bool,i(s(sF4118,X1),sF4148(X0))) = s(bool,i(s(sF4119,sF4149(X0)),s(sF4118,X1))),
inference(forward_demodulation,[],[f19467,f17449]) ).
fof(f19472,plain,
! [X0] : s(bool,i(s(sF4118,X0),sF4132)) = s(bool,i(s(sF4119,sF4133),s(sF4118,X0))),
inference(forward_demodulation,[],[f19468,f17415]) ).
fof(f19475,plain,
! [X0,X1] : s(bool,i(s(sF4118,X1),sF4148(X0))) = s(bool,i(sF4150(X0),s(sF4118,X1))),
inference(forward_demodulation,[],[f19471,f17451]) ).
fof(f19476,plain,
! [X0] : s(bool,i(s(sF4118,X0),sF4132)) = s(bool,i(sF4134,s(sF4118,X0))),
inference(forward_demodulation,[],[f19472,f17417]) ).
fof(f19479,plain,
s(bool,i(sF4139,sF4132)) = s(bool,i(sF4134,sF4139)),
inference(superposition,[],[f19476,f17427]) ).
fof(f19481,plain,
s(bool,sF4140) = s(bool,i(sF4139,sF4132)),
inference(forward_demodulation,[],[f19479,f17429]) ).
fof(f19482,plain,
sF4141 = s(bool,i(sF4139,sF4132)),
inference(forward_demodulation,[],[f19481,f17431]) ).
fof(f19489,plain,
! [X0] : s(bool,i(sF4139,sF4148(X0))) = s(bool,i(sF4150(X0),sF4139)),
inference(superposition,[],[f19475,f17427]) ).
fof(f19492,plain,
! [X0] : s(bool,sF4151(X0)) = s(bool,i(sF4139,sF4148(X0))),
inference(forward_demodulation,[],[f19489,f17453]) ).
fof(f19493,plain,
! [X0] : sF4152(X0) = s(bool,i(sF4139,sF4148(X0))),
inference(forward_demodulation,[],[f19492,f17455]) ).
fof(f19695,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),s(sF4117,i(s(fun(X0,sF4117),X1),s(X0,sK4099(X0,sK4113,X2,X1,X3)))))),s(fun(sF4117,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(sF4117,bool),bool),subspace),s(fun(sF4117,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| p(s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),s(sF4117,i(s(fun(fun(X0,sF4117),sF4117),i(s(fun(fun(X0,bool),fun(fun(X0,sF4117),sF4117)),vsum),s(fun(X0,bool),X3))),s(fun(X0,sF4117),X1))))),s(fun(sF4117,bool),X2)))) ),
inference(superposition,[],[f17334,f17383]) ).
fof(f19705,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(sF4117,bool),X2),s(sF4117,i(s(fun(X0,sF4117),X1),s(X0,sK4099(X0,sK4113,X2,X1,X3)))))))
| ~ p(s(bool,i(s(fun(fun(sF4117,bool),bool),subspace),s(fun(sF4117,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| p(s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),s(sF4117,i(s(fun(fun(X0,sF4117),sF4117),i(s(fun(fun(X0,bool),fun(fun(X0,sF4117),sF4117)),vsum),s(fun(X0,bool),X3))),s(fun(X0,sF4117),X1))))),s(fun(sF4117,bool),X2)))) ),
inference(forward_demodulation,[],[f19695,f13016]) ).
fof(f19715,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(sF4118,X2),s(sF4117,i(s(fun(X0,sF4117),X1),s(X0,sK4099(X0,sK4113,X2,X1,X3)))))))
| ~ p(s(bool,i(s(fun(fun(sF4117,bool),bool),subspace),s(fun(sF4117,bool),X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| p(s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),s(sF4117,i(s(fun(fun(X0,sF4117),sF4117),i(s(fun(fun(X0,bool),fun(fun(X0,sF4117),sF4117)),vsum),s(fun(X0,bool),X3))),s(fun(X0,sF4117),X1))))),s(fun(sF4117,bool),X2)))) ),
inference(forward_demodulation,[],[f19705,f17385]) ).
fof(f19725,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(sF4118,bool),subspace),s(sF4118,X2))))
| ~ p(s(bool,i(s(sF4118,X2),s(sF4117,i(s(fun(X0,sF4117),X1),s(X0,sK4099(X0,sK4113,X2,X1,X3)))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| p(s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),s(sF4117,i(s(fun(fun(X0,sF4117),sF4117),i(s(fun(fun(X0,bool),fun(fun(X0,sF4117),sF4117)),vsum),s(fun(X0,bool),X3))),s(fun(X0,sF4117),X1))))),s(fun(sF4117,bool),X2)))) ),
inference(forward_demodulation,[],[f19715,f17385]) ).
fof(f19732,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X2))))
| ~ p(s(bool,i(s(sF4118,X2),s(sF4117,i(s(fun(X0,sF4117),X1),s(X0,sK4099(X0,sK4113,X2,X1,X3)))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3))))
| p(s(bool,i(s(fun(fun(sF4117,bool),bool),i(s(fun(sF4117,fun(fun(sF4117,bool),bool)),in),s(sF4117,i(s(fun(fun(X0,sF4117),sF4117),i(s(fun(fun(X0,bool),fun(fun(X0,sF4117),sF4117)),vsum),s(fun(X0,bool),X3))),s(fun(X0,sF4117),X1))))),s(fun(sF4117,bool),X2)))) ),
inference(forward_demodulation,[],[f19725,f17387]) ).
fof(f19735,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(sF4117,bool),X2),s(sF4117,i(s(fun(fun(X0,sF4117),sF4117),i(s(fun(fun(X0,bool),fun(fun(X0,sF4117),sF4117)),vsum),s(fun(X0,bool),X3))),s(fun(X0,sF4117),X1))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X2))))
| ~ p(s(bool,i(s(sF4118,X2),s(sF4117,i(s(fun(X0,sF4117),X1),s(X0,sK4099(X0,sK4113,X2,X1,X3)))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3)))) ),
inference(forward_demodulation,[],[f19732,f13016]) ).
fof(f19737,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(sF4118,X2),s(sF4117,i(s(fun(X0,sF4117),X1),s(X0,sK4099(X0,sK4113,X2,X1,X3)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X2))))
| p(s(bool,i(s(sF4118,X2),s(sF4117,i(s(fun(fun(X0,sF4117),sF4117),i(s(fun(fun(X0,bool),fun(fun(X0,sF4117),sF4117)),vsum),s(fun(X0,bool),X3))),s(fun(X0,sF4117),X1))))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X3)))) ),
inference(forward_demodulation,[],[f19735,f17385]) ).
fof(f19744,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),s(sK4112,sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0))))
| p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(fun(sF4122,sF4117),i(s(fun(fun(sK4112,bool),fun(sF4122,sF4117)),vsum),s(fun(sK4112,bool),X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),X2)))) ),
inference(superposition,[],[f19737,f17393]) ).
fof(f19750,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0))))
| p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(fun(sF4122,sF4117),i(s(fun(fun(sK4112,bool),fun(sF4122,sF4117)),vsum),s(fun(sK4112,bool),X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),X2)))) ),
inference(forward_demodulation,[],[f19744,f17443]) ).
fof(f19752,definition,
( spl4159_224
<=> p(s(bool,i(s(sF4119,subspace),sF4139))) ),
introduced(definition,[new_symbols(definition,[spl4159_224])],[avatar_definition]) ).
fof(f19753,plain,
( p(s(bool,i(s(sF4119,subspace),sF4139)))
| ~ spl4159_224 ),
inference(avatar_component_clause,[],[f19752]) ).
fof(f19754,plain,
( ~ p(s(bool,i(s(sF4119,subspace),sF4139)))
| spl4159_224 ),
inference(avatar_component_clause,[],[f19752]) ).
fof(f19775,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(fun(sF4122,sF4117),i(s(fun(sF4124,fun(sF4122,sF4117)),vsum),s(sF4124,X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),X2)))) ),
inference(forward_demodulation,[],[f19750,f17397]) ).
fof(f19779,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4123,i(s(fun(sF4124,sF4123),vsum),s(sF4124,X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),X2)))) ),
inference(forward_demodulation,[],[f19775,f17395]) ).
fof(f19783,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4123,i(s(sF4125,vsum),s(sF4124,X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),X2)))) ),
inference(forward_demodulation,[],[f19779,f17399]) ).
fof(f19786,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0))))
| ~ p(s(bool,i(s(fun(fun(sK4112,bool),bool),finite),s(fun(sK4112,bool),X2)))) ),
inference(forward_demodulation,[],[f19783,f17401]) ).
fof(f19788,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X2))))
| p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0)))) ),
inference(forward_demodulation,[],[f19786,f17397]) ).
fof(f19790,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(sF4142,finite),s(sF4124,X2))))
| p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0)))) ),
inference(forward_demodulation,[],[f19788,f17434]) ).
fof(f19792,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4122,X1),sF4146(sK4099(sK4112,sK4113,X0,X1,X2)))))))
| p(s(bool,i(s(sF4118,X0),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2))))
| ~ p(s(bool,i(s(sF4119,subspace),s(sF4118,X0)))) ),
inference(forward_demodulation,[],[f19790,f17436]) ).
fof(f19795,plain,
! [X0,X1] :
( ~ p(s(bool,i(sF4139,s(sF4117,i(s(sF4122,X0),sF4146(sK4099(sK4112,sK4113,sF4138,X0,X1)))))))
| p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X1))),s(sF4122,X0))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X1))))
| ~ p(s(bool,i(s(sF4119,subspace),sF4139))) ),
inference(superposition,[],[f19792,f17427]) ).
fof(f20819,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(sF4124,bool),i(s(fun(sK4112,fun(sF4124,bool)),in),s(sK4112,sK4099(sK4112,X0,X1,X2,X3)))),s(sF4124,X3))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(superposition,[],[f17333,f17397]) ).
fof(f20831,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(sF4124,bool),i(s(fun(sK4112,fun(sF4124,bool)),in),sF4146(sK4099(sK4112,X0,X1,X2,X3)))),s(sF4124,X3))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20819,f17443]) ).
fof(f20846,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(sF4142,i(s(fun(sK4112,sF4142),in),sF4146(sK4099(sK4112,X0,X1,X2,X3)))),s(sF4124,X3))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20831,f17434]) ).
fof(f20857,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(sF4142,i(s(sF4153,in),sF4146(sK4099(sK4112,X0,X1,X2,X3)))),s(sF4124,X3))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20846,f17457]) ).
fof(f20864,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(sF4142,i(sF4154,sF4146(sK4099(sK4112,X0,X1,X2,X3)))),s(sF4124,X3))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20857,f17459]) ).
fof(f20870,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(sF4142,sF4155(sK4099(sK4112,X0,X1,X2,X3))),s(sF4124,X3))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20864,f17461]) ).
fof(f20876,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(sF4156(sK4099(sK4112,X0,X1,X2,X3)),s(sF4124,X3))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20870,f17463]) ).
fof(f20880,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(cart(real,X0),bool),X1),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))))
| p(s(bool,i(sF4156(sK4099(sK4112,X0,X1,X2,X3)),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(sF4124,bool),finite),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20876,f13016]) ).
fof(f20883,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(sF4142,finite),s(sF4124,X3))))
| p(s(bool,i(s(fun(cart(real,X0),bool),X1),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))))
| p(s(bool,i(sF4156(sK4099(sK4112,X0,X1,X2,X3)),s(sF4124,X3))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f20880,f17434]) ).
fof(f20886,plain,
! [X2,X3,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1))))
| p(s(bool,i(s(fun(cart(real,X0),bool),X1),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X3))),s(fun(sK4112,cart(real,X0)),X2))))))
| p(s(bool,i(sF4156(sK4099(sK4112,X0,X1,X2,X3)),s(sF4124,X3))))
| ~ p(s(bool,i(sF4143,s(sF4124,X3)))) ),
inference(forward_demodulation,[],[f20883,f17436]) ).
fof(f20891,plain,
! [X2,X3,X0,X1] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))),s(cart(real,X0),i(s(fun(fun(sK4112,cart(real,X0)),cart(real,X0)),i(s(fun(sF4124,fun(fun(sK4112,cart(real,X0)),cart(real,X0))),vsum),s(sF4124,X2))),s(fun(sK4112,cart(real,X0)),X3))))))
| p(s(bool,i(sF4156(sK4099(sK4112,X0,i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)),X3,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(resolution,[],[f20886,f17352]) ).
fof(f21095,plain,
! [X2,X0,X1] :
( p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0)),X1,X2)),s(sF4124,X2))))
| p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(fun(fun(sK4112,sF4117),sF4117),i(s(fun(sF4124,fun(fun(sK4112,sF4117),sF4117)),vsum),s(sF4124,X2))),s(fun(sK4112,sF4117),X1))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(superposition,[],[f20891,f17383]) ).
fof(f21098,plain,
! [X2,X0,X1] :
( p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(s(fun(sF4118,sF4118),span),s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(fun(fun(sK4112,sF4117),sF4117),i(s(fun(sF4124,fun(fun(sK4112,sF4117),sF4117)),vsum),s(sF4124,X2))),s(fun(sK4112,sF4117),X1))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21095,f17385]) ).
fof(f21103,plain,
! [X2,X0,X1] :
( p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(s(sF4135,span),s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(fun(fun(sK4112,sF4117),sF4117),i(s(fun(sF4124,fun(fun(sK4112,sF4117),sF4117)),vsum),s(sF4124,X2))),s(fun(sK4112,sF4117),X1))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21098,f17419]) ).
fof(f21106,plain,
! [X2,X0,X1] :
( p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(fun(fun(sK4112,sF4117),sF4117),i(s(fun(sF4124,fun(fun(sK4112,sF4117),sF4117)),vsum),s(sF4124,X2))),s(fun(sK4112,sF4117),X1))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21103,f17421]) ).
fof(f21109,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(fun(sF4122,sF4117),i(s(fun(sF4124,fun(sF4122,sF4117)),vsum),s(sF4124,X2))),s(sF4122,X1))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21106,f17393]) ).
fof(f21112,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(sF4123,i(s(fun(sF4124,sF4123),vsum),s(sF4124,X2))),s(sF4122,X1))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21109,f17395]) ).
fof(f21115,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(sF4123,i(s(sF4125,vsum),s(sF4124,X2))),s(sF4122,X1))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21112,f17399]) ).
fof(f21117,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(sF4117,bool),i(s(fun(fun(sF4117,bool),fun(sF4117,bool)),span),s(fun(sF4117,bool),X0))),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21115,f17401]) ).
fof(f21119,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(sF4118,i(s(fun(sF4118,sF4118),span),s(sF4118,X0))),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21117,f17385]) ).
fof(f21121,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(sF4118,i(s(sF4135,span),s(sF4118,X0))),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21119,f17419]) ).
fof(f21123,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(sF4118,i(sF4136,s(sF4118,X0))),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X2))),s(sF4122,X1))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,s(sF4118,X0)),X1,X2)),s(sF4124,X2))))
| ~ p(s(bool,i(sF4143,s(sF4124,X2)))) ),
inference(forward_demodulation,[],[f21121,f17421]) ).
fof(f21134,plain,
! [X0,X1] :
( p(s(bool,i(sF4156(sK4099(sK4112,sK4113,i(sF4136,sF4137),X0,X1)),s(sF4124,X1))))
| p(s(bool,i(s(sF4118,i(sF4136,sF4137)),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X1))),s(sF4122,X0))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X1)))) ),
inference(superposition,[],[f21123,f17423]) ).
fof(f21142,plain,
! [X0,X1] :
( p(s(bool,i(sF4156(sK4099(sK4112,sK4113,sF4138,X0,X1)),s(sF4124,X1))))
| p(s(bool,i(s(sF4118,i(sF4136,sF4137)),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X1))),s(sF4122,X0))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X1)))) ),
inference(forward_demodulation,[],[f21134,f17425]) ).
fof(f21148,plain,
! [X0,X1] :
( p(s(bool,i(s(sF4118,sF4138),s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X1))),s(sF4122,X0))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,sF4138,X0,X1)),s(sF4124,X1))))
| ~ p(s(bool,i(sF4143,s(sF4124,X1)))) ),
inference(forward_demodulation,[],[f21142,f17425]) ).
fof(f21152,plain,
! [X0,X1] :
( p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X1))),s(sF4122,X0))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,sF4138,X0,X1)),s(sF4124,X1))))
| ~ p(s(bool,i(sF4143,s(sF4124,X1)))) ),
inference(forward_demodulation,[],[f21148,f17427]) ).
fof(f21159,plain,
! [X0] :
( p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,sF4127)),s(sF4122,X0))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,sF4138,X0,sK4116)),sF4127)))
| ~ p(s(bool,i(sF4143,sF4127))) ),
inference(superposition,[],[f21152,f17403]) ).
fof(f21162,plain,
! [X0] :
( p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,sF4128),s(sF4122,X0))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,sF4138,X0,sK4116)),sF4127)))
| ~ p(s(bool,i(sF4143,sF4127))) ),
inference(forward_demodulation,[],[f21159,f17405]) ).
fof(f21163,plain,
! [X0] :
( p(s(bool,i(sF4139,s(sF4117,i(sF4129,s(sF4122,X0))))))
| p(s(bool,i(sF4156(sK4099(sK4112,sK4113,sF4138,X0,sK4116)),sF4127)))
| ~ p(s(bool,i(sF4143,sF4127))) ),
inference(forward_demodulation,[],[f21162,f17407]) ).
fof(f21164,plain,
! [X0] :
( p(s(bool,sF4157(sK4099(sK4112,sK4113,sF4138,X0,sK4116))))
| p(s(bool,i(sF4139,s(sF4117,i(sF4129,s(sF4122,X0))))))
| ~ p(s(bool,i(sF4143,sF4127))) ),
inference(forward_demodulation,[],[f21163,f17465]) ).
fof(f21165,plain,
! [X0] :
( p(sF4158(sK4099(sK4112,sK4113,sF4138,X0,sK4116)))
| p(s(bool,i(sF4139,s(sF4117,i(sF4129,s(sF4122,X0))))))
| ~ p(s(bool,i(sF4143,sF4127))) ),
inference(forward_demodulation,[],[f21164,f17467]) ).
fof(f21166,plain,
! [X0] :
( ~ p(s(bool,sF4144))
| p(sF4158(sK4099(sK4112,sK4113,sF4138,X0,sK4116)))
| p(s(bool,i(sF4139,s(sF4117,i(sF4129,s(sF4122,X0)))))) ),
inference(forward_demodulation,[],[f21165,f17438]) ).
fof(f21167,plain,
! [X0] :
( ~ p(sF4145)
| p(sF4158(sK4099(sK4112,sK4113,sF4138,X0,sK4116)))
| p(s(bool,i(sF4139,s(sF4117,i(sF4129,s(sF4122,X0)))))) ),
inference(forward_demodulation,[],[f21166,f17440]) ).
fof(f21168,plain,
! [X0] :
( p(s(bool,i(sF4139,s(sF4117,i(sF4129,s(sF4122,X0))))))
| p(sF4158(sK4099(sK4112,sK4113,sF4138,X0,sK4116))) ),
inference(forward_subsumption_resolution,[],[f21167,f17441]) ).
fof(f21220,plain,
( p(s(bool,i(sF4139,s(sF4117,i(sF4129,sF4130)))))
| p(sF4158(sK4099(sK4112,sK4113,sF4138,sK4115,sK4116))) ),
inference(superposition,[],[f21168,f17409]) ).
fof(f21221,plain,
( p(s(bool,i(sF4139,s(sF4117,sF4131))))
| p(sF4158(sK4099(sK4112,sK4113,sF4138,sK4115,sK4116))) ),
inference(forward_demodulation,[],[f21220,f17411]) ).
fof(f21222,plain,
( p(s(bool,i(sF4139,sF4132)))
| p(sF4158(sK4099(sK4112,sK4113,sF4138,sK4115,sK4116))) ),
inference(forward_demodulation,[],[f21221,f17413]) ).
fof(f21223,plain,
( p(sF4141)
| p(sF4158(sK4099(sK4112,sK4113,sF4138,sK4115,sK4116))) ),
inference(forward_demodulation,[],[f21222,f19482]) ).
fof(f21224,plain,
p(sF4158(sK4099(sK4112,sK4113,sF4138,sK4115,sK4116))),
inference(forward_subsumption_resolution,[],[f21223,f17432]) ).
fof(f21225,plain,
p(sF4152(sK4099(sK4112,sK4113,sF4138,sK4115,sK4116))),
inference(resolution,[],[f21224,f17468]) ).
fof(f23162,plain,
p(s(bool,i(s(sF4119,subspace),s(sF4118,i(sF4136,sF4137))))),
inference(superposition,[],[f19416,f17423]) ).
fof(f23174,plain,
p(s(bool,i(s(sF4119,subspace),s(sF4118,sF4138)))),
inference(forward_demodulation,[],[f23162,f17425]) ).
fof(f23181,plain,
p(s(bool,i(s(sF4119,subspace),sF4139))),
inference(forward_demodulation,[],[f23174,f17427]) ).
fof(f23182,plain,
( $false
| spl4159_224 ),
inference(forward_subsumption_resolution,[],[f23181,f19754]) ).
fof(f23183,plain,
spl4159_224,
inference(avatar_contradiction_clause,[],[f23182]) ).
fof(f23184,plain,
( ! [X0,X1] :
( ~ p(s(bool,i(sF4139,s(sF4117,i(s(sF4122,X0),sF4146(sK4099(sK4112,sK4113,sF4138,X0,X1)))))))
| p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X1))),s(sF4122,X0))))))
| ~ p(s(bool,i(sF4143,s(sF4124,X1)))) )
| ~ spl4159_224 ),
inference(forward_subsumption_resolution,[],[f19795,f19753]) ).
fof(f23205,plain,
( ! [X0] :
( ~ p(s(bool,i(sF4139,s(sF4117,i(sF4130,sF4146(sK4099(sK4112,sK4113,sF4138,sK4115,X0)))))))
| p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X0))),sF4130)))))
| ~ p(s(bool,i(sF4143,s(sF4124,X0)))) )
| ~ spl4159_224 ),
inference(superposition,[],[f23184,f17409]) ).
fof(f23206,plain,
( ! [X0] :
( ~ p(s(bool,i(sF4139,s(sF4117,sF4147(sK4099(sK4112,sK4113,sF4138,sK4115,X0))))))
| p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X0))),sF4130)))))
| ~ p(s(bool,i(sF4143,s(sF4124,X0)))) )
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23205,f17445]) ).
fof(f23207,plain,
( ! [X0] :
( ~ p(s(bool,i(sF4139,sF4148(sK4099(sK4112,sK4113,sF4138,sK4115,X0)))))
| p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X0))),sF4130)))))
| ~ p(s(bool,i(sF4143,s(sF4124,X0)))) )
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23206,f17447]) ).
fof(f23208,plain,
( ! [X0] :
( p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,s(sF4124,X0))),sF4130)))))
| ~ p(sF4152(sK4099(sK4112,sK4113,sF4138,sK4115,X0)))
| ~ p(s(bool,i(sF4143,s(sF4124,X0)))) )
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23207,f19493]) ).
fof(f23220,plain,
( p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,sF4127)),sF4130)))))
| ~ p(sF4152(sK4099(sK4112,sK4113,sF4138,sK4115,sK4116)))
| ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(superposition,[],[f23208,f17403]) ).
fof(f23221,plain,
( p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,i(sF4126,sF4127)),sF4130)))))
| ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(forward_subsumption_resolution,[],[f23220,f21225]) ).
fof(f23222,plain,
( p(s(bool,i(sF4139,s(sF4117,i(s(sF4123,sF4128),sF4130)))))
| ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23221,f17405]) ).
fof(f23223,plain,
( p(s(bool,i(sF4139,s(sF4117,i(sF4129,sF4130)))))
| ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23222,f17407]) ).
fof(f23224,plain,
( p(s(bool,i(sF4139,s(sF4117,sF4131))))
| ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23223,f17411]) ).
fof(f23225,plain,
( p(s(bool,i(sF4139,sF4132)))
| ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23224,f17413]) ).
fof(f23226,plain,
( p(sF4141)
| ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23225,f19482]) ).
fof(f23227,plain,
( ~ p(s(bool,i(sF4143,sF4127)))
| ~ spl4159_224 ),
inference(forward_subsumption_resolution,[],[f23226,f17432]) ).
fof(f23228,plain,
( ~ p(s(bool,sF4144))
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23227,f17438]) ).
fof(f23229,plain,
( ~ p(sF4145)
| ~ spl4159_224 ),
inference(forward_demodulation,[],[f23228,f17440]) ).
fof(f23230,plain,
( $false
| ~ spl4159_224 ),
inference(forward_subsumption_resolution,[],[f23229,f17441]) ).
fof(f23231,plain,
~ spl4159_224,
inference(avatar_contradiction_clause,[],[f23230]) ).
cnf(s255,plain,
spl4159_224,
inference(sat_conversion,[],[f23183]) ).
cnf(s256,plain,
~ spl4159_224,
inference(sat_conversion,[],[f23231]) ).
cnf(s257,plain,
$false,
inference(rat,[],[s255,s256]) ).
fof(f23232,plain,
$false,
inference(avatar_sat_refutation,[],[s257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO467+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 08:19:30 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.22/3.55 % (1341584)Detected formulas, will run a generic FOF schedule.
% 12.22/3.55 % (1341589)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=4052397582:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 12.22/3.55 % (1341595)dis-21_1_sil=8000:lcm=predicate:random_seed=1659078672: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)
% 12.22/3.55 % (1341592)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3409613878:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 12.22/3.55 % (1341593)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=836710923:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 12.22/3.55 % (1341594)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1288169929:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 12.22/3.55 % (1341591)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=3774565627:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 12.22/3.55 % (1341590)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=3383333347:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 12.22/3.55 % (1341594)Instruction limit reached!
% 12.22/3.55 % (1341594)------------------------------
% 12.22/3.55 % (1341594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/3.55 % (1341594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/3.55 % (1341594)CaDiCaL version: 2.1.3
% 12.22/3.55 % (1341594)Termination reason: Instruction limit
% 12.22/3.55 % (1341594)Termination phase: Property scanning
% 12.22/3.55 % (1341594)Time elapsed: 0.049 s
% 12.22/3.55 % (1341594)Peak memory usage: 90 MB
% 12.22/3.55 % (1341594)Instructions burned: 140 (million)
% 12.22/3.55 % (1341592)Instruction limit reached!
% 12.22/3.55 % (1341592)------------------------------
% 12.22/3.55 % (1341592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/3.55 % (1341592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/3.55 % (1341592)CaDiCaL version: 2.1.3
% 12.22/3.55 % (1341592)Termination reason: Instruction limit
% 12.22/3.55 % (1341592)Termination phase: Property scanning
% 12.22/3.55 % (1341592)Time elapsed: 0.055 s
% 12.22/3.55 % (1341592)Peak memory usage: 92 MB
% 12.22/3.55 % (1341592)Instructions burned: 109 (million)
% 12.22/3.55 % (1341593)Instruction limit reached!
% 12.22/3.55 % (1341593)------------------------------
% 12.22/3.55 % (1341593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/3.55 % (1341593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/3.55 % (1341593)CaDiCaL version: 2.1.3
% 12.22/3.55 % (1341593)Termination reason: Instruction limit
% 12.22/3.55 % (1341593)Termination phase: Preprocessing 1
% 12.22/3.55 % (1341593)Time elapsed: 0.062 s
% 12.22/3.55 % (1341593)Peak memory usage: 90 MB
% 12.22/3.55 % (1341593)Instructions burned: 119 (million)
% 12.22/3.55 % (1341595)Instruction limit reached!
% 12.22/3.55 % (1341595)------------------------------
% 12.22/3.55 % (1341595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.22/3.55 % (1341595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.22/3.55 % (1341595)CaDiCaL version: 2.1.3
% 12.22/3.55 % (1341595)Termination reason: Instruction limit
% 12.22/3.55 % (1341595)Termination phase: SInE selection
% 12.22/3.55 % (1341595)Time elapsed: 0.063 s
% 12.22/3.55 % (1341595)Peak memory usage: 89 MB
% 12.22/3.55 % (1341595)Instructions burned: 131 (million)
% 12.22/3.55 % (1341603)lrs+10_1_sil=8000:sp=occurrence:random_seed=4153157399:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 12.22/3.55 % (1341604)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3679368623:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 12.22/3.55 % (1341606)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=3279862128:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 12.22/3.55 % (1341605)lrs+1011_1_sil=32000:sp=occurrence:random_seed=898590093:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 12.22/3.55 % (1341604)Instruction limit reached!
% 19.09/4.47 % (1341604)------------------------------
% 19.09/4.47 % (1341604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.47 % (1341604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.47 % (1341604)CaDiCaL version: 2.1.3
% 19.09/4.47 % (1341604)Termination reason: Instruction limit
% 19.09/4.47 % (1341604)Termination phase: Property scanning
% 19.09/4.47 % (1341604)Time elapsed: 0.054 s
% 19.09/4.47 % (1341604)Peak memory usage: 90 MB
% 19.09/4.47 % (1341604)Instructions burned: 159 (million)
% 19.09/4.47 % (1341606)Instruction limit reached!
% 19.09/4.47 % (1341606)------------------------------
% 19.09/4.47 % (1341606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.47 % (1341606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.47 % (1341606)CaDiCaL version: 2.1.3
% 19.09/4.47 % (1341606)Termination reason: Instruction limit
% 19.09/4.47 % (1341606)Termination phase: Property scanning
% 19.09/4.47 % (1341606)Time elapsed: 0.084 s
% 19.09/4.47 % (1341606)Peak memory usage: 90 MB
% 19.09/4.47 % (1341606)Instructions burned: 248 (million)
% 19.09/4.47 % (1341603)Instruction limit reached!
% 19.09/4.47 % (1341603)------------------------------
% 19.09/4.47 % (1341603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.47 % (1341603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.47 % (1341603)CaDiCaL version: 2.1.3
% 19.09/4.47 % (1341603)Termination reason: Instruction limit
% 19.09/4.47 % (1341603)Termination phase: Property scanning
% 19.09/4.47 % (1341603)Time elapsed: 0.140 s
% 19.09/4.47 % (1341603)Peak memory usage: 96 MB
% 19.09/4.47 % (1341603)Instructions burned: 287 (million)
% 19.09/4.47 % (1341605)Instruction limit reached!
% 19.09/4.47 % (1341605)------------------------------
% 19.09/4.47 % (1341605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.47 % (1341605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.47 % (1341605)CaDiCaL version: 2.1.3
% 19.09/4.47 % (1341605)Termination reason: Instruction limit
% 19.09/4.47 % (1341605)Termination phase: Saturation
% 19.09/4.47 % (1341605)Time elapsed: 0.168 s
% 19.09/4.47 % (1341605)Peak memory usage: 97 MB
% 19.09/4.47 % (1341605)Instructions burned: 327 (million)
% 19.09/4.47 % (1341611)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=730771545:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 19.09/4.47 % (1341612)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3877921589:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 19.09/4.47 % (1341613)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2433903246:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 19.09/4.47 % (1341614)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1635649599:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 19.09/4.47 % (1341613)Instruction limit reached!
% 19.09/4.47 % (1341613)------------------------------
% 19.09/4.47 % (1341613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.47 % (1341613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.47 % (1341613)CaDiCaL version: 2.1.3
% 19.09/4.47 % (1341613)Termination reason: Instruction limit
% 19.09/4.47 % (1341613)Termination phase: Preprocessing 1
% 19.09/4.47 % (1341613)Time elapsed: 0.060 s
% 19.09/4.47 % (1341613)Peak memory usage: 90 MB
% 19.09/4.47 % (1341613)Instructions burned: 114 (million)
% 19.09/4.47 % (1341611)Instruction limit reached!
% 19.09/4.47 % (1341611)------------------------------
% 19.09/4.47 % (1341611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.47 % (1341611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.47 % (1341611)CaDiCaL version: 2.1.3
% 19.09/4.47 % (1341611)Termination reason: Instruction limit
% 19.09/4.47 % (1341611)Termination phase: Preprocessing 3
% 19.09/4.47 % (1341611)Time elapsed: 0.149 s
% 19.09/4.47 % (1341611)Peak memory usage: 95 MB
% 19.09/4.47 % (1341611)Instructions burned: 296 (million)
% 19.09/4.47 % (1341614)Instruction limit reached!
% 19.09/4.47 % (1341614)------------------------------
% 19.09/4.47 % (1341614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.09/4.47 % (1341614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.09/4.47 % (1341614)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341614)Termination reason: Instruction limit
% 32.75/7.10 % (1341614)Termination phase: Naming
% 32.75/7.10 % (1341614)Time elapsed: 0.069 s
% 32.75/7.10 % (1341614)Peak memory usage: 93 MB
% 32.75/7.10 % (1341614)Instructions burned: 127 (million)
% 32.75/7.10 % (1341619)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4111581712:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 32.75/7.10 % (1341620)lrs+10_1_sil=8000:sp=occurrence:random_seed=208835433:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 32.75/7.10 % (1341619)Instruction limit reached!
% 32.75/7.10 % (1341619)------------------------------
% 32.75/7.10 % (1341619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341619)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341619)Termination reason: Instruction limit
% 32.75/7.10 % (1341619)Termination phase: Property scanning
% 32.75/7.10 % (1341619)Time elapsed: 0.040 s
% 32.75/7.10 % (1341619)Peak memory usage: 90 MB
% 32.75/7.10 % (1341619)Instructions burned: 117 (million)
% 32.75/7.10 % (1341621)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2850011120:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 32.75/7.10 % (1341624)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2877590256:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 32.75/7.10 % (1341621)Instruction limit reached!
% 32.75/7.10 % (1341621)------------------------------
% 32.75/7.10 % (1341621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341621)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341621)Termination reason: Instruction limit
% 32.75/7.10 % (1341621)Termination phase: Property scanning
% 32.75/7.10 % (1341621)Time elapsed: 0.212 s
% 32.75/7.10 % (1341621)Peak memory usage: 99 MB
% 32.75/7.10 % (1341621)Instructions burned: 438 (million)
% 32.75/7.10 % (1341620)Instruction limit reached!
% 32.75/7.10 % (1341620)------------------------------
% 32.75/7.10 % (1341620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341620)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341620)Termination reason: Instruction limit
% 32.75/7.10 % (1341620)Termination phase: Saturation
% 32.75/7.10 % (1341620)Time elapsed: 0.378 s
% 32.75/7.10 % (1341620)Peak memory usage: 101 MB
% 32.75/7.10 % (1341620)Instructions burned: 909 (million)
% 32.75/7.10 % (1341627)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2490545475:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 32.75/7.10 % (1341627)Instruction limit reached!
% 32.75/7.10 % (1341627)------------------------------
% 32.75/7.10 % (1341627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341627)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341627)Termination reason: Instruction limit
% 32.75/7.10 % (1341627)Termination phase: Preprocessing 1
% 32.75/7.10 % (1341627)Time elapsed: 0.075 s
% 32.75/7.10 % (1341627)Peak memory usage: 91 MB
% 32.75/7.10 % (1341627)Instructions burned: 135 (million)
% 32.75/7.10 % (1341628)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1407976302:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 32.75/7.10 % (1341612)Instruction limit reached!
% 32.75/7.10 % (1341612)------------------------------
% 32.75/7.10 % (1341612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341612)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341612)Termination reason: Instruction limit
% 32.75/7.10 % (1341612)Termination phase: Twee Goal Transformation
% 32.75/7.10 % (1341612)Time elapsed: 0.880 s
% 32.75/7.10 % (1341612)Peak memory usage: 105 MB
% 32.75/7.10 % (1341612)Instructions burned: 2350 (million)
% 32.75/7.10 % (1341630)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1980169935:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 32.75/7.10 % (1341632)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=1425035760:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 32.75/7.10 % (1341632)Instruction limit reached!
% 32.75/7.10 % (1341632)------------------------------
% 32.75/7.10 % (1341632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341632)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341632)Termination reason: Instruction limit
% 32.75/7.10 % (1341632)Termination phase: Property scanning
% 32.75/7.10 % (1341632)Time elapsed: 0.044 s
% 32.75/7.10 % (1341632)Peak memory usage: 90 MB
% 32.75/7.10 % (1341632)Instructions burned: 126 (million)
% 32.75/7.10 % (1341628)Instruction limit reached!
% 32.75/7.10 % (1341628)------------------------------
% 32.75/7.10 % (1341628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341628)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341628)Termination reason: Instruction limit
% 32.75/7.10 % (1341628)Termination phase: Preprocessing 3
% 32.75/7.10 % (1341628)Time elapsed: 0.303 s
% 32.75/7.10 % (1341628)Peak memory usage: 102 MB
% 32.75/7.10 % (1341628)Instructions burned: 592 (million)
% 32.75/7.10 % (1341635)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=906713512:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 32.75/7.10 % (1341636)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4221593176:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 32.75/7.10 % (1341635)Instruction limit reached!
% 32.75/7.10 % (1341635)------------------------------
% 32.75/7.10 % (1341635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341635)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341635)Termination reason: Instruction limit
% 32.75/7.10 % (1341635)Termination phase: Property scanning
% 32.75/7.10 % (1341635)Time elapsed: 0.048 s
% 32.75/7.10 % (1341635)Peak memory usage: 90 MB
% 32.75/7.10 % (1341635)Instructions burned: 136 (million)
% 32.75/7.10 % (1341636)Instruction limit reached!
% 32.75/7.10 % (1341636)------------------------------
% 32.75/7.10 % (1341636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341636)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341636)Termination reason: Instruction limit
% 32.75/7.10 % (1341636)Termination phase: Property scanning
% 32.75/7.10 % (1341636)Time elapsed: 0.070 s
% 32.75/7.10 % (1341636)Peak memory usage: 92 MB
% 32.75/7.10 % (1341636)Instructions burned: 142 (million)
% 32.75/7.10 % (1341639)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=502579616:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 32.75/7.10 % (1341640)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=546908996:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 32.75/7.10 % (1341639)Instruction limit reached!
% 32.75/7.10 % (1341639)------------------------------
% 32.75/7.10 % (1341639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341639)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341639)Termination reason: Instruction limit
% 32.75/7.10 % (1341639)Termination phase: Saturation
% 32.75/7.10 % (1341639)Time elapsed: 0.236 s
% 32.75/7.10 % (1341639)Peak memory usage: 96 MB
% 32.75/7.10 % (1341639)Instructions burned: 433 (million)
% 32.75/7.10 % (1341643)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=4290409927:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 32.75/7.10 % (1341643)Instruction limit reached!
% 32.75/7.10 % (1341643)------------------------------
% 32.75/7.10 % (1341643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341643)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341643)Termination reason: Instruction limit
% 32.75/7.10 % (1341643)Termination phase: Preprocessing 1
% 32.75/7.10 % (1341643)Time elapsed: 0.083 s
% 32.75/7.10 % (1341643)Peak memory usage: 91 MB
% 32.75/7.10 % (1341643)Instructions burned: 152 (million)
% 32.75/7.10 % (1341645)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2009058205:i=14155:bd=all_2964 on theBenchmark for (2964ds/14155Mi)
% 32.75/7.10 % (1341624)Instruction limit reached!
% 32.75/7.10 % (1341624)------------------------------
% 32.75/7.10 % (1341624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341624)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341624)Termination reason: Instruction limit
% 32.75/7.10 % (1341624)Termination phase: Saturation
% 32.75/7.10 % (1341624)Time elapsed: 2.895 s
% 32.75/7.10 % (1341624)Peak memory usage: 238 MB
% 32.75/7.10 % (1341624)Instructions burned: 5203 (million)
% 32.75/7.10 % (1341647)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1810064642:i=667:av=off:fsr=off_2950 on theBenchmark for (2950ds/667Mi)
% 32.75/7.10 % (1341647)Instruction limit reached!
% 32.75/7.10 % (1341647)------------------------------
% 32.75/7.10 % (1341647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341647)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341647)Termination reason: Instruction limit
% 32.75/7.10 % (1341647)Termination phase: Property scanning
% 32.75/7.10 % (1341647)Time elapsed: 0.317 s
% 32.75/7.10 % (1341647)Peak memory usage: 102 MB
% 32.75/7.10 % (1341647)Instructions burned: 671 (million)
% 32.75/7.10 % (1341649)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=4186562020:s2a=on:i=185:s2at=1.8:fdi=4_2945 on theBenchmark for (2945ds/185Mi)
% 32.75/7.10 % (1341649)Instruction limit reached!
% 32.75/7.10 % (1341649)------------------------------
% 32.75/7.10 % (1341649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341649)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341649)Termination reason: Instruction limit
% 32.75/7.10 % (1341649)Termination phase: Preprocessing 1
% 32.75/7.10 % (1341649)Time elapsed: 0.094 s
% 32.75/7.10 % (1341649)Peak memory usage: 91 MB
% 32.75/7.10 % (1341649)Instructions burned: 186 (million)
% 32.75/7.10 % (1341651)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3782044379:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2942 on theBenchmark for (2942ds/193Mi)
% 32.75/7.10 % (1341589)First to succeed.
% 32.75/7.10 % (1341651)Instruction limit reached!
% 32.75/7.10 % (1341651)------------------------------
% 32.75/7.10 % (1341651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.75/7.10 % (1341651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.75/7.10 % (1341651)CaDiCaL version: 2.1.3
% 32.75/7.10 % (1341651)Termination reason: Instruction limit
% 32.75/7.10 % (1341651)Termination phase: Preprocessing 1
% 32.75/7.10 % (1341651)Time elapsed: 0.104 s
% 32.75/7.10 % (1341651)Peak memory usage: 90 MB
% 32.75/7.10 % (1341651)Instructions burned: 193 (million)
% 32.75/7.10 % (1341589)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1341584"
% 32.75/7.10 % (1341653)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=188835256:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2940 on theBenchmark for (2940ds/4850Mi)
% 32.75/7.10 % (1341589)Refutation found. Thanks to Tanya!
% 32.75/7.10 % SZS status Theorem for theBenchmark
% 32.75/7.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/7.31 % (1341589)------------------------------
% 0.18/7.31 % (1341589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/7.31 % (1341589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/7.31 % (1341589)CaDiCaL version: 2.1.3
% 0.18/7.31 % (1341589)Termination reason: Refutation
% 0.18/7.31 % (1341589)Time elapsed: 4.858 s
% 0.18/7.31 % (1341589)Peak memory usage: 405 MB
% 0.18/7.31 % (1341589)Instructions burned: 15182 (million)
% 0.18/7.31 % (1341589)------------------------------
% 0.18/7.31 % (1341589)------------------------------
% 0.18/7.31 % (1341584)Success in time 6.223 s
% 0.18/7.31 % Vampire exiting
%------------------------------------------------------------------------------