%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO470+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 : n019.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 09:52:44 AM UTC 2026
% Result : Theorem 79.54s 14.95s
% Output : Refutation 93.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 118 ( 30 unt; 8 def)
% Number of atoms : 274 ( 42 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 274 ( 118 ~; 121 |; 19 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 101 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
p(s(bool,t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aTRUTH) ).
fof(f43,axiom,
~ p(s(bool,f0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSsrboolo_notu_falseu_isu_true) ).
fof(f97,axiom,
! [X0] :
( s(bool,X0) = s(bool,t)
| s(bool,X0) = s(bool,f0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aBOOLu_CASESu_AX) ).
fof(f277,axiom,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEu_REFL) ).
fof(f1705,axiom,
! [X0,X1] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X1))),s(fun(X0,bool),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBSETu_REFL) ).
fof(f1937,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,X2))))
<=> ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
& s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) = s(num,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aHASu_SIZE) ).
fof(f1944,axiom,
! [X0,X1] : s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))) = s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aFINITEu_HASu_SIZE) ).
fof(f3314,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_MONO) ).
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/sandbox2/benchmark/theBenchmark.p',aSUBSPACEu_SPAN) ).
fof(f3326,axiom,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2)))) )
=> s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_SUBSPACE) ).
fof(f3329,axiom,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_INC) ).
fof(f3399,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
=> p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIMu_SUBSET) ).
fof(f3402,axiom,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2)))))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_GEu_DIMu_INDEPENDENT) ).
fof(f3403,axiom,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),finite),s(fun(cart(real,X0),bool),X2))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_LEu_DIMu_SPANNING) ).
fof(f3404,conjecture,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,X0),bool),fun(num,bool)),hasu_size),s(fun(cart(real,X0),bool),X2))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) )
=> s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aCARDu_EQu_DIM) ).
fof(f3405,negated_conjecture,
~ ! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,X0),bool),fun(num,bool)),hasu_size),s(fun(cart(real,X0),bool),X2))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) )
=> s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))) = s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))) ),
inference(negated_conjecture,[status(cth)],[f3404]) ).
fof(f4366,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2)))) ),
inference(ennf_transformation,[],[f3314]) ).
fof(f4378,plain,
! [X0,X1,X2] :
( s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),X2)
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2)))) ),
inference(ennf_transformation,[],[f3326]) ).
fof(f4379,plain,
! [X0,X1,X2] :
( s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),X2)
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2)))) ),
inference(flattening,[],[f4378]) ).
fof(f4464,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2)))) ),
inference(ennf_transformation,[],[f3399]) ).
fof(f4467,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2)))))) ),
inference(ennf_transformation,[],[f3402]) ).
fof(f4468,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2)))))) ),
inference(flattening,[],[f4467]) ).
fof(f4469,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),finite),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) ),
inference(ennf_transformation,[],[f3403]) ).
fof(f4470,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),finite),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) ),
inference(flattening,[],[f4469]) ).
fof(f4471,plain,
? [X0,X1,X2] :
( s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))) != s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,X0),bool),fun(num,bool)),hasu_size),s(fun(cart(real,X0),bool),X2))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) ),
inference(ennf_transformation,[],[f3405]) ).
fof(f4472,plain,
? [X0,X1,X2] :
( s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))) != s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,X0),bool),fun(num,bool)),hasu_size),s(fun(cart(real,X0),bool),X2))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) ),
inference(flattening,[],[f4471]) ).
fof(f6634,plain,
( s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))) != s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728)))))
& p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK728))),s(fun(cart(real,sK726),bool),sK727))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,sK726),bool),fun(num,bool)),hasu_size),s(fun(cart(real,sK726),bool),sK728))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727)))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK726,sK727,sK728]),skolemize(X0,sK726),skolemize(X1,sK727),skolemize(X2,sK728)],[f4472]) ).
fof(f8175,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| s(num,X2) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) )
& ( ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
& s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) = s(num,X2) )
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,X2)))) ) ),
inference(nnf_transformation,[],[f1937]) ).
fof(f8176,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,X2))))
| ~ p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
| s(num,X2) != s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) )
& ( ( p(s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))))
& s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) = s(num,X2) )
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,X2)))) ) ),
inference(flattening,[],[f8175]) ).
fof(f10007,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2)))) ),
inference(cnf_transformation,[],[f4366]) ).
fof(f10008,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(f10020,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),X2) ),
inference(cnf_transformation,[],[f4379]) ).
fof(f10025,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(cnf_transformation,[],[f3329]) ).
fof(f10240,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2)))))) ),
inference(cnf_transformation,[],[f4464]) ).
fof(f10243,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2)))))) ),
inference(cnf_transformation,[],[f4468]) ).
fof(f10244,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),finite),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),card),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) ),
inference(cnf_transformation,[],[f4470]) ).
fof(f10245,plain,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,sK726),bool),fun(num,bool)),hasu_size),s(fun(cart(real,sK726),bool),sK728))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727)))))),
inference(cnf_transformation,[],[f6634]) ).
fof(f10246,plain,
p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK728))),s(fun(cart(real,sK726),bool),sK727)))),
inference(cnf_transformation,[],[f6634]) ).
fof(f10247,plain,
s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))) != s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))),
inference(cnf_transformation,[],[f6634]) ).
fof(f10644,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X0)))),
inference(cnf_transformation,[],[f277]) ).
fof(f12484,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X1))),s(fun(X0,bool),X1)))),
inference(cnf_transformation,[],[f1705]) ).
fof(f13666,plain,
! [X0,X1] : s(bool,i(s(fun(fun(X0,bool),bool),finite),s(fun(X0,bool),X1))) = s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))))),
inference(cnf_transformation,[],[f1944]) ).
fof(f13670,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(fun(X0,bool),fun(num,bool)),hasu_size),s(fun(X0,bool),X1))),s(num,X2))))
| s(num,X2) = s(num,i(s(fun(fun(X0,bool),num),card),s(fun(X0,bool),X1))) ),
inference(cnf_transformation,[],[f8176]) ).
fof(f14536,plain,
! [X0] :
( s(bool,X0) = s(bool,f0)
| s(bool,t) = s(bool,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f14586,plain,
~ p(s(bool,f0)),
inference(cnf_transformation,[],[f43]) ).
fof(f14618,plain,
p(s(bool,t)),
inference(cnf_transformation,[],[f3]) ).
fof(f15864,definition,
( spl3747_1
<=> p(s(bool,f0)) ),
introduced(definition,[new_symbols(definition,[spl3747_1])],[avatar_definition]) ).
fof(f15865,plain,
( ~ p(s(bool,f0))
| spl3747_1 ),
inference(avatar_component_clause,[],[f15864]) ).
fof(f15879,plain,
~ spl3747_1,
inference(avatar_split_clause,[],[f14586,f15864]) ).
fof(f19693,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),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),X2))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
| s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))) ),
inference(resolution,[],[f10020,f10008]) ).
fof(f19869,definition,
( spl3747_180
<=> p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))) ),
introduced(definition,[new_symbols(definition,[spl3747_180])],[avatar_definition]) ).
fof(f19870,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))))
| ~ spl3747_180 ),
inference(avatar_component_clause,[],[f19869]) ).
fof(f19886,definition,
( spl3747_182
<=> p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),finite),s(fun(cart(real,sK726),bool),sK728)))) ),
introduced(definition,[new_symbols(definition,[spl3747_182])],[avatar_definition]) ).
fof(f19887,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),finite),s(fun(cart(real,sK726),bool),sK728))))
| ~ spl3747_182 ),
inference(avatar_component_clause,[],[f19886]) ).
fof(f20975,plain,
s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727))) = s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))),
inference(resolution,[],[f13670,f10245]) ).
fof(f20996,plain,
p(s(bool,i(s(fun(num,bool),i(s(fun(fun(cart(real,sK726),bool),fun(num,bool)),hasu_size),s(fun(cart(real,sK726),bool),sK728))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728)))))),
inference(superposition,[],[f10245,f20975]) ).
fof(f21034,plain,
p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),finite),s(fun(cart(real,sK726),bool),sK728)))),
inference(forward_demodulation,[],[f20996,f13666]) ).
fof(f21035,plain,
spl3747_182,
inference(avatar_split_clause,[],[f21034,f19886]) ).
fof(f21066,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),X0))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))
| p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),X0)))))) )
| ~ spl3747_182 ),
inference(resolution,[],[f19887,f10244]) ).
fof(f21069,definition,
( spl3747_194
<=> ! [X0] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),X0))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),X0)))))) ) ),
introduced(definition,[new_symbols(definition,[spl3747_194])],[avatar_definition]) ).
fof(f21070,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),X0))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),X0))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728)))))) )
| ~ spl3747_194 ),
inference(avatar_component_clause,[],[f21069]) ).
fof(f21071,plain,
( spl3747_180
| spl3747_194
| ~ spl3747_182 ),
inference(avatar_split_clause,[],[f21066,f19886,f21069,f19869]) ).
fof(f22638,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),X1))))
| s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = 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),X2)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
inference(resolution,[],[f19693,f10007]) ).
fof(f23750,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))))
| spl3747_180 ),
inference(avatar_component_clause,[],[f19869]) ).
fof(f24325,plain,
( s(bool,f0) != s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))
| s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))) ),
inference(superposition,[],[f10247,f14536]) ).
fof(f24633,definition,
( spl3747_229
<=> s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))) ),
introduced(definition,[new_symbols(definition,[spl3747_229])],[avatar_definition]) ).
fof(f24634,plain,
( s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728)))))
| ~ spl3747_229 ),
inference(avatar_component_clause,[],[f24633]) ).
fof(f24636,definition,
( spl3747_230
<=> s(bool,f0) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))) ),
introduced(definition,[new_symbols(definition,[spl3747_230])],[avatar_definition]) ).
fof(f24637,plain,
( s(bool,f0) != s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))
| spl3747_230 ),
inference(avatar_component_clause,[],[f24636]) ).
fof(f24638,plain,
( spl3747_229
| ~ spl3747_230 ),
inference(avatar_split_clause,[],[f24325,f24636,f24633]) ).
fof(f24652,plain,
( s(bool,f0) != s(bool,f0)
| s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))
| spl3747_230 ),
inference(superposition,[],[f24637,f14536]) ).
fof(f24653,plain,
( s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))
| spl3747_230 ),
inference(trivial_inequality_removal,[],[f24652]) ).
fof(f24656,plain,
( ~ p(s(bool,t))
| spl3747_180
| spl3747_230 ),
inference(superposition,[],[f23750,f24653]) ).
fof(f24690,plain,
( $false
| spl3747_180
| spl3747_230 ),
inference(forward_subsumption_resolution,[],[f24656,f14618]) ).
fof(f24691,plain,
( spl3747_180
| spl3747_230 ),
inference(avatar_contradiction_clause,[],[f24690]) ).
fof(f25117,plain,
( s(bool,t) != s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))
| ~ spl3747_229 ),
inference(superposition,[],[f10247,f24634]) ).
fof(f25132,definition,
( spl3747_251
<=> s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))) = s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK727))) ),
introduced(definition,[new_symbols(definition,[spl3747_251])],[avatar_definition]) ).
fof(f25133,plain,
( s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))) = s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK727)))
| ~ spl3747_251 ),
inference(avatar_component_clause,[],[f25132]) ).
fof(f25153,plain,
( p(s(bool,f0))
| s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))
| ~ spl3747_180 ),
inference(superposition,[],[f19870,f14536]) ).
fof(f25154,plain,
( s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728)))
| spl3747_1
| ~ spl3747_180 ),
inference(forward_subsumption_resolution,[],[f25153,f15865]) ).
fof(f25158,plain,
( $false
| spl3747_1
| ~ spl3747_180
| ~ spl3747_229 ),
inference(forward_subsumption_resolution,[],[f25154,f25117]) ).
fof(f25159,plain,
( spl3747_1
| ~ spl3747_180
| ~ spl3747_229 ),
inference(avatar_contradiction_clause,[],[f25158]) ).
fof(f25864,plain,
( s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))) = s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK727)))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728)))))) ),
inference(resolution,[],[f22638,f10246]) ).
fof(f25961,definition,
( spl3747_263
<=> p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728)))))) ),
introduced(definition,[new_symbols(definition,[spl3747_263])],[avatar_definition]) ).
fof(f25962,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))
| spl3747_263 ),
inference(avatar_component_clause,[],[f25961]) ).
fof(f25963,plain,
( ~ spl3747_263
| spl3747_251 ),
inference(avatar_split_clause,[],[f25864,f25132,f25961]) ).
fof(f26080,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK728))),s(fun(cart(real,sK726),bool),sK727))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))))
| spl3747_263 ),
inference(resolution,[],[f25962,f10243]) ).
fof(f26082,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),independent),s(fun(cart(real,sK726),bool),sK728))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))))
| spl3747_263 ),
inference(forward_subsumption_resolution,[],[f26080,f10246]) ).
fof(f26083,plain,
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))))
| ~ spl3747_180
| spl3747_263 ),
inference(forward_subsumption_resolution,[],[f26082,f19870]) ).
fof(f26084,plain,
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))))
| ~ spl3747_180
| spl3747_263 ),
inference(forward_demodulation,[],[f26083,f20975]) ).
fof(f26085,plain,
( $false
| ~ spl3747_180
| spl3747_263 ),
inference(forward_subsumption_resolution,[],[f26084,f10644]) ).
fof(f26086,plain,
( ~ spl3747_180
| spl3747_263 ),
inference(avatar_contradiction_clause,[],[f26085]) ).
fof(f26098,plain,
( ~ p(s(bool,t))
| p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))))
| ~ spl3747_229 ),
inference(superposition,[],[f10240,f24634]) ).
fof(f26100,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),sK727))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))))
| ~ spl3747_229 ),
inference(forward_subsumption_resolution,[],[f26098,f14618]) ).
fof(f26104,plain,
( p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,sK726),bool),num),card),s(fun(cart(real,sK726),bool),sK728))))),s(num,i(s(fun(fun(cart(real,sK726),bool),num),dim),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))))
| ~ spl3747_229 ),
inference(forward_demodulation,[],[f26100,f20975]) ).
fof(f26120,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))
| ~ spl3747_251 ),
inference(superposition,[],[f10025,f25133]) ).
fof(f28503,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728))))))
| ~ spl3747_194
| ~ spl3747_229 ),
inference(resolution,[],[f21070,f26104]) ).
fof(f28554,plain,
( $false
| ~ spl3747_194
| ~ spl3747_229 ),
inference(forward_subsumption_resolution,[],[f28503,f12484]) ).
fof(f28555,plain,
( ~ spl3747_194
| ~ spl3747_229 ),
inference(avatar_contradiction_clause,[],[f28554]) ).
fof(f116020,plain,
( p(s(bool,f0))
| s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728)))))
| ~ spl3747_251 ),
inference(superposition,[],[f26120,f14536]) ).
fof(f116021,plain,
( s(bool,t) = s(bool,i(s(fun(fun(cart(real,sK726),bool),bool),i(s(fun(fun(cart(real,sK726),bool),fun(fun(cart(real,sK726),bool),bool)),subset),s(fun(cart(real,sK726),bool),sK727))),s(fun(cart(real,sK726),bool),i(s(fun(fun(cart(real,sK726),bool),fun(cart(real,sK726),bool)),span),s(fun(cart(real,sK726),bool),sK728)))))
| spl3747_1
| ~ spl3747_251 ),
inference(forward_subsumption_resolution,[],[f116020,f15865]) ).
fof(f116025,plain,
( spl3747_229
| spl3747_1
| ~ spl3747_251 ),
inference(avatar_split_clause,[],[f116021,f25132,f15864,f24633]) ).
cnf(s4,plain,
~ spl3747_1,
inference(sat_conversion,[],[f15879]) ).
cnf(s174,plain,
spl3747_182,
inference(sat_conversion,[],[f21035]) ).
cnf(s175,plain,
( spl3747_180
| ~ spl3747_182
| spl3747_194 ),
inference(sat_conversion,[],[f21071]) ).
cnf(s227,plain,
( spl3747_229
| ~ spl3747_230 ),
inference(sat_conversion,[],[f24638]) ).
cnf(s228,plain,
( spl3747_180
| spl3747_230 ),
inference(sat_conversion,[],[f24691]) ).
cnf(s240,plain,
( spl3747_1
| ~ spl3747_180
| ~ spl3747_229 ),
inference(sat_conversion,[],[f25159]) ).
cnf(s301,plain,
( spl3747_251
| ~ spl3747_263 ),
inference(sat_conversion,[],[f25963]) ).
cnf(s304,plain,
( ~ spl3747_180
| spl3747_263 ),
inference(sat_conversion,[],[f26086]) ).
cnf(s323,plain,
( ~ spl3747_194
| ~ spl3747_229 ),
inference(sat_conversion,[],[f28555]) ).
cnf(s2503,plain,
( spl3747_1
| spl3747_229
| ~ spl3747_251 ),
inference(sat_conversion,[],[f116025]) ).
cnf(s2511,plain,
spl3747_180,
inference(rat,[],[s323,s227,s175,s228,s174]) ).
cnf(s2513,plain,
spl3747_263,
inference(rat,[],[s304,s2511]) ).
cnf(s2514,plain,
~ spl3747_229,
inference(rat,[],[s240,s4,s2511]) ).
cnf(s2516,plain,
spl3747_251,
inference(rat,[],[s301,s2513]) ).
cnf(s2517,plain,
$false,
inference(rat,[],[s2503,s4,s2516,s2514]) ).
fof(f116027,plain,
$false,
inference(avatar_sat_refutation,[],[s2517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO470+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n019.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 08:20:19 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 12.10/3.59 % (2787666)Detected formulas, will run a generic FOF schedule.
% 12.10/3.59 % (2787672)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=2667994633:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 12.10/3.59 % (2787674)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2371772986:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 12.10/3.59 % (2787671)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=1643073780:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 12.10/3.59 % (2787677)dis-21_1_sil=8000:lcm=predicate:random_seed=699528031: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)
% 12.10/3.59 % (2787673)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=3632100317:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 12.10/3.59 % (2787675)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2146561521:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 12.10/3.59 % (2787676)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3676072826:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 12.10/3.59 % (2787674)Instruction limit reached!
% 12.10/3.59 % (2787674)------------------------------
% 12.10/3.59 % (2787674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/3.59 % (2787674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/3.59 % (2787674)CaDiCaL version: 2.1.3
% 12.10/3.59 % (2787674)Termination reason: Instruction limit
% 12.10/3.59 % (2787674)Termination phase: Property scanning
% 12.10/3.59 % (2787674)Time elapsed: 0.058 s
% 12.10/3.59 % (2787674)Peak memory usage: 92 MB
% 12.10/3.59 % (2787674)Instructions burned: 112 (million)
% 12.10/3.59 % (2787677)Instruction limit reached!
% 12.10/3.59 % (2787677)------------------------------
% 12.10/3.59 % (2787677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/3.59 % (2787677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/3.59 % (2787677)CaDiCaL version: 2.1.3
% 12.10/3.59 % (2787677)Termination reason: Instruction limit
% 12.10/3.59 % (2787677)Termination phase: SInE selection
% 12.10/3.59 % (2787677)Time elapsed: 0.060 s
% 12.10/3.59 % (2787677)Peak memory usage: 90 MB
% 12.10/3.59 % (2787677)Instructions burned: 130 (million)
% 12.10/3.59 % (2787675)Instruction limit reached!
% 12.10/3.59 % (2787675)------------------------------
% 12.10/3.59 % (2787675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/3.59 % (2787675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/3.59 % (2787675)CaDiCaL version: 2.1.3
% 12.10/3.59 % (2787675)Termination reason: Instruction limit
% 12.10/3.59 % (2787675)Termination phase: Preprocessing 1
% 12.10/3.59 % (2787675)Time elapsed: 0.063 s
% 12.10/3.59 % (2787675)Peak memory usage: 90 MB
% 12.10/3.59 % (2787675)Instructions burned: 120 (million)
% 12.10/3.59 % (2787676)Instruction limit reached!
% 12.10/3.59 % (2787676)------------------------------
% 12.10/3.59 % (2787676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.10/3.59 % (2787676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.10/3.59 % (2787676)CaDiCaL version: 2.1.3
% 12.10/3.59 % (2787676)Termination reason: Instruction limit
% 12.10/3.59 % (2787676)Termination phase: Property scanning
% 12.10/3.59 % (2787676)Time elapsed: 0.048 s
% 12.10/3.59 % (2787676)Peak memory usage: 90 MB
% 12.10/3.59 % (2787676)Instructions burned: 140 (million)
% 12.10/3.59 % (2787687)lrs+1011_1_sil=32000:sp=occurrence:random_seed=882491887:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 12.10/3.59 % (2787688)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=712056325:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 12.10/3.59 % (2787685)lrs+10_1_sil=8000:sp=occurrence:random_seed=3990551743:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 12.10/3.59 % (2787686)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1531461188:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 12.10/3.59 % (2787686)Instruction limit reached!
% 18.83/4.49 % (2787686)------------------------------
% 18.83/4.49 % (2787686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/4.49 % (2787686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/4.49 % (2787686)CaDiCaL version: 2.1.3
% 18.83/4.49 % (2787686)Termination reason: Instruction limit
% 18.83/4.49 % (2787686)Termination phase: Property scanning
% 18.83/4.49 % (2787686)Time elapsed: 0.054 s
% 18.83/4.49 % (2787686)Peak memory usage: 90 MB
% 18.83/4.49 % (2787686)Instructions burned: 159 (million)
% 18.83/4.49 % (2787688)Instruction limit reached!
% 18.83/4.49 % (2787688)------------------------------
% 18.83/4.49 % (2787688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/4.49 % (2787688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/4.49 % (2787688)CaDiCaL version: 2.1.3
% 18.83/4.49 % (2787688)Termination reason: Instruction limit
% 18.83/4.49 % (2787688)Termination phase: Property scanning
% 18.83/4.49 % (2787688)Time elapsed: 0.085 s
% 18.83/4.49 % (2787688)Peak memory usage: 90 MB
% 18.83/4.49 % (2787688)Instructions burned: 249 (million)
% 18.83/4.49 % (2787685)Instruction limit reached!
% 18.83/4.49 % (2787685)------------------------------
% 18.83/4.49 % (2787685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/4.49 % (2787685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/4.49 % (2787685)CaDiCaL version: 2.1.3
% 18.83/4.49 % (2787685)Termination reason: Instruction limit
% 18.83/4.49 % (2787685)Termination phase: Property scanning
% 18.83/4.49 % (2787685)Time elapsed: 0.141 s
% 18.83/4.49 % (2787685)Peak memory usage: 96 MB
% 18.83/4.49 % (2787685)Instructions burned: 286 (million)
% 18.83/4.49 % (2787687)Instruction limit reached!
% 18.83/4.49 % (2787687)------------------------------
% 18.83/4.49 % (2787687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/4.49 % (2787687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/4.49 % (2787687)CaDiCaL version: 2.1.3
% 18.83/4.49 % (2787687)Termination reason: Instruction limit
% 18.83/4.49 % (2787687)Termination phase: Saturation
% 18.83/4.49 % (2787687)Time elapsed: 0.161 s
% 18.83/4.49 % (2787687)Peak memory usage: 96 MB
% 18.83/4.49 % (2787687)Instructions burned: 326 (million)
% 18.83/4.49 % (2787693)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1557541121:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 18.83/4.49 % (2787694)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2637375477:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 18.83/4.49 % (2787695)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2707990283:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 18.83/4.49 % (2787696)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3771548047:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 18.83/4.49 % (2787695)Instruction limit reached!
% 18.83/4.49 % (2787695)------------------------------
% 18.83/4.49 % (2787695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/4.49 % (2787695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/4.49 % (2787695)CaDiCaL version: 2.1.3
% 18.83/4.49 % (2787695)Termination reason: Instruction limit
% 18.83/4.49 % (2787695)Termination phase: Preprocessing 1
% 18.83/4.49 % (2787695)Time elapsed: 0.061 s
% 18.83/4.49 % (2787695)Peak memory usage: 90 MB
% 18.83/4.49 % (2787695)Instructions burned: 115 (million)
% 18.83/4.49 % (2787693)Instruction limit reached!
% 18.83/4.49 % (2787693)------------------------------
% 18.83/4.49 % (2787693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/4.49 % (2787693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/4.49 % (2787693)CaDiCaL version: 2.1.3
% 18.83/4.49 % (2787693)Termination reason: Instruction limit
% 18.83/4.49 % (2787693)Termination phase: Preprocessing 3
% 18.83/4.49 % (2787693)Time elapsed: 0.148 s
% 18.83/4.49 % (2787693)Peak memory usage: 95 MB
% 18.83/4.49 % (2787693)Instructions burned: 295 (million)
% 18.83/4.49 % (2787696)Instruction limit reached!
% 18.83/4.49 % (2787696)------------------------------
% 18.83/4.49 % (2787696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.83/4.49 % (2787696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.83/4.49 % (2787696)CaDiCaL version: 2.1.3
% 56.59/9.76 % (2787696)Termination reason: Instruction limit
% 56.59/9.76 % (2787696)Termination phase: Naming
% 56.59/9.76 % (2787696)Time elapsed: 0.068 s
% 56.59/9.76 % (2787696)Peak memory usage: 94 MB
% 56.59/9.76 % (2787696)Instructions burned: 128 (million)
% 56.59/9.76 % (2787701)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=662773278:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 56.59/9.76 % (2787702)lrs+10_1_sil=8000:sp=occurrence:random_seed=2463657089:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 56.59/9.76 % (2787701)Instruction limit reached!
% 56.59/9.76 % (2787701)------------------------------
% 56.59/9.76 % (2787701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.59/9.76 % (2787701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.76 % (2787701)CaDiCaL version: 2.1.3
% 56.59/9.76 % (2787701)Termination reason: Instruction limit
% 56.59/9.76 % (2787701)Termination phase: Property scanning
% 56.59/9.76 % (2787701)Time elapsed: 0.039 s
% 56.59/9.76 % (2787701)Peak memory usage: 90 MB
% 56.59/9.76 % (2787701)Instructions burned: 114 (million)
% 56.59/9.76 % (2787703)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4033324849:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 56.59/9.76 % (2787707)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1606068219:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 56.59/9.76 % (2787703)Instruction limit reached!
% 56.59/9.76 % (2787703)------------------------------
% 56.59/9.76 % (2787703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.59/9.76 % (2787703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.76 % (2787703)CaDiCaL version: 2.1.3
% 56.59/9.76 % (2787703)Termination reason: Instruction limit
% 56.59/9.76 % (2787703)Termination phase: Property scanning
% 56.59/9.76 % (2787703)Time elapsed: 0.214 s
% 56.59/9.76 % (2787703)Peak memory usage: 100 MB
% 56.59/9.76 % (2787703)Instructions burned: 439 (million)
% 56.59/9.76 % (2787702)Instruction limit reached!
% 56.59/9.76 % (2787702)------------------------------
% 56.59/9.76 % (2787702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.59/9.76 % (2787702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.76 % (2787702)CaDiCaL version: 2.1.3
% 56.59/9.76 % (2787702)Termination reason: Instruction limit
% 56.59/9.76 % (2787702)Termination phase: Property scanning
% 56.59/9.76 % (2787702)Time elapsed: 0.373 s
% 56.59/9.76 % (2787702)Peak memory usage: 100 MB
% 56.59/9.76 % (2787702)Instructions burned: 907 (million)
% 56.59/9.76 % (2787709)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1244726807:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 56.59/9.76 % (2787709)Instruction limit reached!
% 56.59/9.76 % (2787709)------------------------------
% 56.59/9.76 % (2787709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.59/9.76 % (2787709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.76 % (2787709)CaDiCaL version: 2.1.3
% 56.59/9.76 % (2787709)Termination reason: Instruction limit
% 56.59/9.76 % (2787709)Termination phase: Preprocessing 1
% 56.59/9.76 % (2787709)Time elapsed: 0.071 s
% 56.59/9.76 % (2787709)Peak memory usage: 91 MB
% 56.59/9.76 % (2787709)Instructions burned: 134 (million)
% 56.59/9.76 % (2787710)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=329022026:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 56.59/9.76 % (2787694)Instruction limit reached!
% 56.59/9.76 % (2787694)------------------------------
% 56.59/9.76 % (2787694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.59/9.76 % (2787694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.59/9.76 % (2787694)CaDiCaL version: 2.1.3
% 56.59/9.76 % (2787694)Termination reason: Instruction limit
% 56.59/9.76 % (2787694)Termination phase: Twee Goal Transformation
% 56.59/9.76 % (2787694)Time elapsed: 0.881 s
% 56.59/9.76 % (2787694)Peak memory usage: 105 MB
% 56.59/9.76 % (2787694)Instructions burned: 2350 (million)
% 56.59/9.76 % (2787712)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2630799495:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 56.59/9.76 % (2787714)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=1501984752:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 77.56/12.70 % (2787714)Instruction limit reached!
% 77.56/12.70 % (2787714)------------------------------
% 77.56/12.70 % (2787714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.56/12.70 % (2787714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.56/12.70 % (2787714)CaDiCaL version: 2.1.3
% 77.56/12.70 % (2787714)Termination reason: Instruction limit
% 77.56/12.70 % (2787714)Termination phase: Property scanning
% 77.56/12.70 % (2787714)Time elapsed: 0.044 s
% 77.56/12.70 % (2787714)Peak memory usage: 90 MB
% 77.56/12.70 % (2787714)Instructions burned: 127 (million)
% 77.56/12.70 % (2787710)Instruction limit reached!
% 77.56/12.70 % (2787710)------------------------------
% 77.56/12.70 % (2787710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.56/12.70 % (2787710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.56/12.70 % (2787710)CaDiCaL version: 2.1.3
% 77.56/12.70 % (2787710)Termination reason: Instruction limit
% 77.56/12.70 % (2787710)Termination phase: Preprocessing 3
% 77.56/12.70 % (2787710)Time elapsed: 0.302 s
% 77.56/12.70 % (2787710)Peak memory usage: 102 MB
% 77.56/12.70 % (2787710)Instructions burned: 593 (million)
% 77.56/12.70 % (2787717)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2548917496:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 77.56/12.70 % (2787718)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2789682385:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 77.56/12.70 % (2787717)Instruction limit reached!
% 77.56/12.70 % (2787717)------------------------------
% 77.56/12.70 % (2787717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.56/12.70 % (2787717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.56/12.70 % (2787717)CaDiCaL version: 2.1.3
% 77.56/12.70 % (2787717)Termination reason: Instruction limit
% 77.56/12.70 % (2787717)Termination phase: Property scanning
% 77.56/12.70 % (2787717)Time elapsed: 0.047 s
% 77.56/12.70 % (2787717)Peak memory usage: 90 MB
% 77.56/12.70 % (2787717)Instructions burned: 135 (million)
% 77.56/12.70 % (2787718)Instruction limit reached!
% 77.56/12.70 % (2787718)------------------------------
% 77.56/12.70 % (2787718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.56/12.70 % (2787718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.56/12.70 % (2787718)CaDiCaL version: 2.1.3
% 77.56/12.70 % (2787718)Termination reason: Instruction limit
% 77.56/12.70 % (2787718)Termination phase: Property scanning
% 77.56/12.70 % (2787718)Time elapsed: 0.072 s
% 77.56/12.70 % (2787718)Peak memory usage: 92 MB
% 77.56/12.70 % (2787718)Instructions burned: 142 (million)
% 77.56/12.70 % (2787721)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3779620416:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 77.56/12.70 % (2787722)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=350146272:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 77.56/12.70 % (2787721)Instruction limit reached!
% 77.56/12.70 % (2787721)------------------------------
% 77.56/12.70 % (2787721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.56/12.70 % (2787721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.56/12.70 % (2787721)CaDiCaL version: 2.1.3
% 77.56/12.70 % (2787721)Termination reason: Instruction limit
% 77.56/12.70 % (2787721)Termination phase: Saturation
% 77.56/12.70 % (2787721)Time elapsed: 0.213 s
% 77.56/12.70 % (2787721)Peak memory usage: 96 MB
% 77.56/12.70 % (2787721)Instructions burned: 431 (million)
% 77.56/12.70 % (2787725)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=3634353783:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 77.56/12.70 % (2787725)Instruction limit reached!
% 77.56/12.70 % (2787725)------------------------------
% 77.56/12.70 % (2787725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.56/12.70 % (2787725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.56/12.70 % (2787725)CaDiCaL version: 2.1.3
% 77.56/12.70 % (2787725)Termination reason: Instruction limit
% 79.54/14.95 % (2787725)Termination phase: Preprocessing 1
% 79.54/14.95 % (2787725)Time elapsed: 0.084 s
% 79.54/14.95 % (2787725)Peak memory usage: 91 MB
% 79.54/14.95 % (2787725)Instructions burned: 151 (million)
% 79.54/14.95 % (2787727)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3247218962:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 79.54/14.95 % (2787707)Instruction limit reached!
% 79.54/14.95 % (2787707)------------------------------
% 79.54/14.95 % (2787707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787707)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787707)Termination reason: Instruction limit
% 79.54/14.95 % (2787707)Termination phase: Saturation
% 79.54/14.95 % (2787707)Time elapsed: 2.912 s
% 79.54/14.95 % (2787707)Peak memory usage: 244 MB
% 79.54/14.95 % (2787707)Instructions burned: 5202 (million)
% 79.54/14.95 % (2787729)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=103627705:i=667:av=off:fsr=off_2949 on theBenchmark for (2949ds/667Mi)
% 79.54/14.95 % (2787729)Instruction limit reached!
% 79.54/14.95 % (2787729)------------------------------
% 79.54/14.95 % (2787729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787729)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787729)Termination reason: Instruction limit
% 79.54/14.95 % (2787729)Termination phase: Property scanning
% 79.54/14.95 % (2787729)Time elapsed: 0.318 s
% 79.54/14.95 % (2787729)Peak memory usage: 102 MB
% 79.54/14.95 % (2787729)Instructions burned: 669 (million)
% 79.54/14.95 % (2787731)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=2783805861:s2a=on:i=185:s2at=1.8:fdi=4_2944 on theBenchmark for (2944ds/185Mi)
% 79.54/14.95 % (2787731)Instruction limit reached!
% 79.54/14.95 % (2787731)------------------------------
% 79.54/14.95 % (2787731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787731)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787731)Termination reason: Instruction limit
% 79.54/14.95 % (2787731)Termination phase: Preprocessing 1
% 79.54/14.95 % (2787731)Time elapsed: 0.096 s
% 79.54/14.95 % (2787731)Peak memory usage: 91 MB
% 79.54/14.95 % (2787731)Instructions burned: 186 (million)
% 79.54/14.95 % (2787733)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1304553583:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2941 on theBenchmark for (2941ds/193Mi)
% 79.54/14.95 % (2787733)Instruction limit reached!
% 79.54/14.95 % (2787733)------------------------------
% 79.54/14.95 % (2787733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787733)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787733)Termination reason: Instruction limit
% 79.54/14.95 % (2787733)Termination phase: Preprocessing 1
% 79.54/14.95 % (2787733)Time elapsed: 0.104 s
% 79.54/14.95 % (2787733)Peak memory usage: 90 MB
% 79.54/14.95 % (2787733)Instructions burned: 193 (million)
% 79.54/14.95 % (2787735)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1770208909:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2938 on theBenchmark for (2938ds/4850Mi)
% 79.54/14.95 % (2787722)Instruction limit reached!
% 79.54/14.95 % (2787722)------------------------------
% 79.54/14.95 % (2787722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787722)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787722)Termination reason: Instruction limit
% 79.54/14.95 % (2787722)Termination phase: Saturation
% 79.54/14.95 % (2787722)Time elapsed: 3.654 s
% 79.54/14.95 % (2787722)Peak memory usage: 421 MB
% 79.54/14.95 % (2787722)Instructions burned: 6060 (million)
% 79.54/14.95 % (2787737)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1028865229:i=12111:sd=1:ss=included_2930 on theBenchmark for (2930ds/12111Mi)
% 79.54/14.95 % (2787735)Instruction limit reached!
% 79.54/14.95 % (2787735)------------------------------
% 79.54/14.95 % (2787735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787735)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787735)Termination reason: Instruction limit
% 79.54/14.95 % (2787735)Termination phase: Saturation
% 79.54/14.95 % (2787735)Time elapsed: 2.569 s
% 79.54/14.95 % (2787735)Peak memory usage: 133 MB
% 79.54/14.95 % (2787735)Instructions burned: 4851 (million)
% 79.54/14.95 % (2787739)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2374972062:i=319:kws=precedence:fsr=off_2911 on theBenchmark for (2911ds/319Mi)
% 79.54/14.95 % (2787739)Instruction limit reached!
% 79.54/14.95 % (2787739)------------------------------
% 79.54/14.95 % (2787739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787739)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787739)Termination reason: Instruction limit
% 79.54/14.95 % (2787739)Termination phase: Preprocessing 3
% 79.54/14.95 % (2787739)Time elapsed: 0.164 s
% 79.54/14.95 % (2787739)Peak memory usage: 99 MB
% 79.54/14.95 % (2787739)Instructions burned: 320 (million)
% 79.54/14.95 % (2787741)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2737895569:i=2064:ep=RST_2907 on theBenchmark for (2907ds/2064Mi)
% 79.54/14.95 % (2787741)Instruction limit reached!
% 79.54/14.95 % (2787741)------------------------------
% 79.54/14.95 % (2787741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787741)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787741)Termination reason: Instruction limit
% 79.54/14.95 % (2787741)Termination phase: Property scanning
% 79.54/14.95 % (2787741)Time elapsed: 0.765 s
% 79.54/14.95 % (2787741)Peak memory usage: 107 MB
% 79.54/14.95 % (2787741)Instructions burned: 2067 (million)
% 79.54/14.95 % (2787712)Instruction limit reached!
% 79.54/14.95 % (2787712)------------------------------
% 79.54/14.95 % (2787712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787712)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787712)Termination reason: Instruction limit
% 79.54/14.95 % (2787712)Termination phase: Saturation
% 79.54/14.95 % (2787712)Time elapsed: 7.646 s
% 79.54/14.95 % (2787712)Peak memory usage: 361 MB
% 79.54/14.95 % (2787712)Instructions burned: 13193 (million)
% 79.54/14.95 % (2787743)dis-1011_128_sil=32000:random_seed=3692173868:i=3706:ep=RST:av=off_2898 on theBenchmark for (2898ds/3706Mi)
% 79.54/14.95 % (2787744)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2356333814:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2897 on theBenchmark for (2897ds/757Mi)
% 79.54/14.95 % (2787744)Instruction limit reached!
% 79.54/14.95 % (2787744)------------------------------
% 79.54/14.95 % (2787744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787744)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787744)Termination reason: Instruction limit
% 79.54/14.95 % (2787744)Termination phase: Saturation
% 79.54/14.95 % (2787744)Time elapsed: 0.324 s
% 79.54/14.95 % (2787744)Peak memory usage: 99 MB
% 79.54/14.95 % (2787744)Instructions burned: 757 (million)
% 79.54/14.95 % (2787747)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1562057659:i=13913:ss=axioms:sgt=8_2892 on theBenchmark for (2892ds/13913Mi)
% 79.54/14.95 % (2787727)Instruction limit reached!
% 79.54/14.95 % (2787727)------------------------------
% 79.54/14.95 % (2787727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787727)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787727)Termination reason: Instruction limit
% 79.54/14.95 % (2787727)Termination phase: Saturation
% 79.54/14.95 % (2787727)Time elapsed: 7.658 s
% 79.54/14.95 % (2787727)Peak memory usage: 412 MB
% 79.54/14.95 % (2787727)Instructions burned: 14157 (million)
% 79.54/14.95 % (2787749)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1716858765:i=9925:aac=none_2885 on theBenchmark for (2885ds/9925Mi)
% 79.54/14.95 % (2787743)Instruction limit reached!
% 79.54/14.95 % (2787743)------------------------------
% 79.54/14.95 % (2787743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787743)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787743)Termination reason: Instruction limit
% 79.54/14.95 % (2787743)Termination phase: Saturation
% 79.54/14.95 % (2787743)Time elapsed: 1.481 s
% 79.54/14.95 % (2787743)Peak memory usage: 114 MB
% 79.54/14.95 % (2787743)Instructions burned: 3707 (million)
% 79.54/14.95 % (2787751)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2302730485:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2881 on theBenchmark for (2881ds/2479Mi)
% 79.54/14.95 % (2787751)Instruction limit reached!
% 79.54/14.95 % (2787751)------------------------------
% 79.54/14.95 % (2787751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787751)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787751)Termination reason: Instruction limit
% 79.54/14.95 % (2787751)Termination phase: Saturation
% 79.54/14.95 % (2787751)Time elapsed: 1.235 s
% 79.54/14.95 % (2787751)Peak memory usage: 111 MB
% 79.54/14.95 % (2787751)Instructions burned: 2480 (million)
% 79.54/14.95 % (2787753)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2041471451:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2867 on theBenchmark for (2867ds/440Mi)
% 79.54/14.95 % (2787753)Instruction limit reached!
% 79.54/14.95 % (2787753)------------------------------
% 79.54/14.95 % (2787753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787753)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787753)Termination reason: Instruction limit
% 79.54/14.95 % (2787753)Termination phase: Initialization
% 79.54/14.95 % (2787753)Time elapsed: 0.150 s
% 79.54/14.95 % (2787753)Peak memory usage: 90 MB
% 79.54/14.95 % (2787753)Instructions burned: 441 (million)
% 79.54/14.95 % (2787737)Instruction limit reached!
% 79.54/14.95 % (2787737)------------------------------
% 79.54/14.95 % (2787737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 79.54/14.95 % (2787737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.54/14.95 % (2787737)CaDiCaL version: 2.1.3
% 79.54/14.95 % (2787737)Termination reason: Instruction limit
% 79.54/14.95 % (2787737)Termination phase: Saturation
% 79.54/14.95 % (2787737)Time elapsed: 6.499 s
% 79.54/14.95 % (2787737)Peak memory usage: 275 MB
% 79.54/14.95 % (2787737)Instructions burned: 12113 (million)
% 79.54/14.95 % (2787755)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1701932980:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2864 on theBenchmark for (2864ds/11145Mi)
% 79.54/14.95 % (2787756)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2921397536:cts=off:i=3034:av=off:er=known:fsd=on_2864 on theBenchmark for (2864ds/3034Mi)
% 79.54/14.95 % (2787672)First to succeed.
% 79.54/14.95 % (2787672)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2787666"
% 79.54/14.95 % (2787672)Refutation found. Thanks to Tanya!
% 79.54/14.95 % SZS status Theorem for theBenchmark
% 79.54/14.95 % SZS output start Proof for theBenchmark
% See solution above
% 93.82/15.05 % (2787672)------------------------------
% 93.82/15.05 % (2787672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.82/15.05 % (2787672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.82/15.05 % (2787672)CaDiCaL version: 2.1.3
% 93.82/15.05 % (2787672)Termination reason: Refutation
% 93.82/15.05 % (2787672)Time elapsed: 12.654 s
% 93.82/15.05 % (2787672)Peak memory usage: 438 MB
% 93.82/15.05 % (2787672)Instructions burned: 41006 (million)
% 93.82/15.05 % (2787672)------------------------------
% 93.82/15.05 % (2787672)------------------------------
% 93.82/15.05 % (2787666)Success in time 14.065 s
% 93.82/15.05 % Vampire exiting
%------------------------------------------------------------------------------