%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO463+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 : n016.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 41.35s 7.58s
% Output : Refutation 42.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 104 ( 4 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 122 ( 43 ~; 37 |; 34 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 81 ( 68 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [X0] : s(num,i(s(fun(num,num),numeral),s(num,X0))) = s(num,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNUMERAL) ).
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(f3294,axiom,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X2,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),X2))),s(fun(cart(real,X0),bool),X1))))
& 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
=> 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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X2] :
( 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),X2))),s(fun(cart(real,X0),bool),X1))))
=> 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X2))))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asubspace) ).
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(f3317,conjecture,
! [X0] : 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),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),s0)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSPANu_CLAUSESu_conjunct1) ).
fof(f3318,negated_conjecture,
~ ! [X0] : 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),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),s0)))))),
inference(negated_conjecture,[status(cth)],[f3317]) ).
fof(f3441,plain,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X2,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),X2))),s(fun(cart(real,X0),bool),X1))))
& 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
=> 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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( 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),X5))),s(fun(cart(real,X0),bool),X1))))
=> 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
inference(rectify,[],[f3294]) ).
fof(f4238,plain,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X2,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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X5))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
inference(ennf_transformation,[],[f3441]) ).
fof(f4239,plain,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X2,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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X5))),s(fun(cart(real,X0),bool),X1)))) ) ) ),
inference(flattening,[],[f4238]) ).
fof(f4265,plain,
? [X0] : ~ 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),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),s0)))))),
inference(ennf_transformation,[],[f3318]) ).
fof(f6305,plain,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
| ? [X2,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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
& 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),X2))),s(fun(cart(real,X0),bool),X1))))
& 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
| ? [X4,X5] :
( ~ 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
& 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),X5))),s(fun(cart(real,X0),bool),X1)))) ) )
& ( ( 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X2,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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X5))),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),X1)))) ) ),
inference(nnf_transformation,[],[f4239]) ).
fof(f6306,plain,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
| ? [X2,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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
& 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),X2))),s(fun(cart(real,X0),bool),X1))))
& 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
| ? [X4,X5] :
( ~ 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
& 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),X5))),s(fun(cart(real,X0),bool),X1)))) ) )
& ( ( 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X2,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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X2))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X4,X5] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X5))),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),X1)))) ) ),
inference(flattening,[],[f6305]) ).
fof(f6307,plain,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
| ? [X2,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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X2))),s(cart(real,X0),X3))))),s(fun(cart(real,X0),bool),X1))))
& 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),X2))),s(fun(cart(real,X0),bool),X1))))
& 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),X3))),s(fun(cart(real,X0),bool),X1)))) )
| ? [X4,X5] :
( ~ 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X4))),s(cart(real,X0),X5))))),s(fun(cart(real,X0),bool),X1))))
& 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),X5))),s(fun(cart(real,X0),bool),X1)))) ) )
& ( ( 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X6,X7] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X6))),s(cart(real,X0),X7))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X6))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X7))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X8,X9] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X8))),s(cart(real,X0),X9))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X9))),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),X1)))) ) ),
inference(rectify,[],[f6306]) ).
fof(f6308,plain,
! [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(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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
| ( ~ 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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),sK598(X0,X1)))),s(cart(real,X0),sK599(X0,X1)))))),s(fun(cart(real,X0),bool),X1))))
& 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),sK598(X0,X1)))),s(fun(cart(real,X0),bool),X1))))
& 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),sK599(X0,X1)))),s(fun(cart(real,X0),bool),X1)))) )
| ( ~ 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,sK600(X0,X1)))),s(cart(real,X0),sK601(X0,X1)))))),s(fun(cart(real,X0),bool),X1))))
& 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),sK601(X0,X1)))),s(fun(cart(real,X0),bool),X1)))) ) )
& ( ( 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
& ! [X6,X7] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(cart(real,X0),fun(cart(real,X0),cart(real,X0))),vectoru_add),s(cart(real,X0),X6))),s(cart(real,X0),X7))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X6))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X7))),s(fun(cart(real,X0),bool),X1)))) )
& ! [X8,X9] :
( 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(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X8))),s(cart(real,X0),X9))))),s(fun(cart(real,X0),bool),X1))))
| ~ 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),X9))),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),X1)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK598,sK599,sK600,sK601]),skolemize(X2,sK598(X0,X1)),skolemize(X3,sK599(X0,X1)),skolemize(X4,sK600(X0,X1)),skolemize(X5,sK601(X0,X1))],[f6307]) ).
fof(f6321,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK612),bool),bool),i(s(fun(cart(real,sK612),fun(fun(cart(real,sK612),bool),bool)),in),s(cart(real,sK612),i(s(fun(num,cart(real,sK612)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,sK612),bool),i(s(fun(fun(cart(real,sK612),bool),fun(cart(real,sK612),bool)),span),s(fun(cart(real,sK612),bool),s0)))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK612]),skolemize(X0,sK612)],[f4265]) ).
fof(f9656,plain,
! [X0,X1] :
( 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(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),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),X1)))) ),
inference(cnf_transformation,[],[f6308]) ).
fof(f9695,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(f9697,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK612),bool),bool),i(s(fun(cart(real,sK612),fun(fun(cart(real,sK612),bool),bool)),in),s(cart(real,sK612),i(s(fun(num,cart(real,sK612)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,sK612),bool),i(s(fun(fun(cart(real,sK612),bool),fun(cart(real,sK612),bool)),span),s(fun(cart(real,sK612),bool),s0)))))),
inference(cnf_transformation,[],[f6321]) ).
fof(f10065,plain,
! [X0] : s(num,X0) = s(num,i(s(fun(num,num),numeral),s(num,X0))),
inference(cnf_transformation,[],[f200]) ).
fof(f10924,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(f16513,plain,
~ p(s(bool,i(s(fun(cart(real,sK612),bool),i(s(fun(fun(cart(real,sK612),bool),fun(cart(real,sK612),bool)),span),s(fun(cart(real,sK612),bool),s0))),s(cart(real,sK612),i(s(fun(num,cart(real,sK612)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))))),
inference(forward_demodulation,[],[f9697,f10924]) ).
fof(f16538,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(cart(real,X0),bool),X1),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f9656,f10924]) ).
fof(f17663,plain,
~ p(s(bool,i(s(fun(cart(real,sK612),bool),i(s(fun(fun(cart(real,sK612),bool),fun(cart(real,sK612),bool)),span),s(fun(cart(real,sK612),bool),s0))),s(cart(real,sK612),i(s(fun(num,cart(real,sK612)),vec),s(num,u_0)))))),
inference(forward_demodulation,[],[f16513,f10065]) ).
fof(f17684,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(cart(real,X0),bool),X1),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f16538,f10065]) ).
fof(f18777,plain,
$false,
inference(unit_resulting_resolution,[],[f17684,f9695,f17663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO463+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:20:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 11.63/3.41 % (2313998)Detected formulas, will run a generic FOF schedule.
% 11.63/3.41 % (2314003)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=15320247:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 11.63/3.41 % (2314004)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=1553520426:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 11.63/3.41 % (2314008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3868125213:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 11.63/3.41 % (2314005)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=2039045164:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 11.63/3.41 % (2314006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3379455660:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 11.63/3.41 % (2314007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2123786485:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 11.63/3.41 % (2314009)dis-21_1_sil=8000:lcm=predicate:random_seed=1862220148: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)
% 11.63/3.41 % (2314008)Instruction limit reached!
% 11.63/3.41 % (2314008)------------------------------
% 11.63/3.41 % (2314008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/3.41 % (2314008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/3.41 % (2314008)CaDiCaL version: 2.1.3
% 11.63/3.41 % (2314008)Termination reason: Instruction limit
% 11.63/3.41 % (2314008)Termination phase: Property scanning
% 11.63/3.41 % (2314008)Time elapsed: 0.052 s
% 11.63/3.41 % (2314008)Peak memory usage: 90 MB
% 11.63/3.41 % (2314008)Instructions burned: 139 (million)
% 11.63/3.41 % (2314006)Instruction limit reached!
% 11.63/3.41 % (2314006)------------------------------
% 11.63/3.41 % (2314006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/3.41 % (2314006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/3.41 % (2314006)CaDiCaL version: 2.1.3
% 11.63/3.41 % (2314006)Termination reason: Instruction limit
% 11.63/3.41 % (2314006)Termination phase: General splitting
% 11.63/3.41 % (2314006)Time elapsed: 0.055 s
% 11.63/3.41 % (2314006)Peak memory usage: 92 MB
% 11.63/3.41 % (2314006)Instructions burned: 111 (million)
% 11.63/3.41 % (2314007)Instruction limit reached!
% 11.63/3.41 % (2314007)------------------------------
% 11.63/3.41 % (2314007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/3.41 % (2314007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/3.41 % (2314007)CaDiCaL version: 2.1.3
% 11.63/3.41 % (2314007)Termination reason: Instruction limit
% 11.63/3.41 % (2314007)Termination phase: Preprocessing 1
% 11.63/3.41 % (2314007)Time elapsed: 0.065 s
% 11.63/3.41 % (2314007)Peak memory usage: 91 MB
% 11.63/3.41 % (2314007)Instructions burned: 123 (million)
% 11.63/3.41 % (2314009)Instruction limit reached!
% 11.63/3.41 % (2314009)------------------------------
% 11.63/3.41 % (2314009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/3.41 % (2314009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/3.41 % (2314009)CaDiCaL version: 2.1.3
% 11.63/3.41 % (2314009)Termination reason: Instruction limit
% 11.63/3.41 % (2314009)Termination phase: SInE selection
% 11.63/3.41 % (2314009)Time elapsed: 0.061 s
% 11.63/3.41 % (2314009)Peak memory usage: 90 MB
% 11.63/3.41 % (2314009)Instructions burned: 129 (million)
% 11.63/3.41 % (2314017)lrs+10_1_sil=8000:sp=occurrence:random_seed=942718224:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.63/3.41 % (2314020)lrs+1011_1_sil=32000:sp=occurrence:random_seed=597703705:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 11.63/3.41 % (2314021)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=1779310190:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 11.63/3.41 % (2314019)lrs+10_1_sil=32000:urr=on:br=off:random_seed=891885651:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 11.63/3.41 % (2314019)Instruction limit reached!
% 18.56/4.40 % (2314019)------------------------------
% 18.56/4.40 % (2314019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/4.40 % (2314019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/4.40 % (2314019)CaDiCaL version: 2.1.3
% 18.56/4.40 % (2314019)Termination reason: Instruction limit
% 18.56/4.40 % (2314019)Termination phase: Property scanning
% 18.56/4.40 % (2314019)Time elapsed: 0.056 s
% 18.56/4.40 % (2314019)Peak memory usage: 90 MB
% 18.56/4.40 % (2314019)Instructions burned: 160 (million)
% 18.56/4.40 % (2314021)Instruction limit reached!
% 18.56/4.40 % (2314021)------------------------------
% 18.56/4.40 % (2314021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/4.40 % (2314021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/4.40 % (2314021)CaDiCaL version: 2.1.3
% 18.56/4.40 % (2314021)Termination reason: Instruction limit
% 18.56/4.40 % (2314021)Termination phase: Property scanning
% 18.56/4.40 % (2314021)Time elapsed: 0.087 s
% 18.56/4.40 % (2314021)Peak memory usage: 90 MB
% 18.56/4.40 % (2314021)Instructions burned: 250 (million)
% 18.56/4.40 % (2314017)Instruction limit reached!
% 18.56/4.40 % (2314017)------------------------------
% 18.56/4.40 % (2314017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/4.40 % (2314017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/4.40 % (2314017)CaDiCaL version: 2.1.3
% 18.56/4.40 % (2314017)Termination reason: Instruction limit
% 18.56/4.40 % (2314017)Termination phase: Preprocessing 3
% 18.56/4.40 % (2314017)Time elapsed: 0.146 s
% 18.56/4.40 % (2314017)Peak memory usage: 96 MB
% 18.56/4.40 % (2314017)Instructions burned: 286 (million)
% 18.56/4.40 % (2314020)Instruction limit reached!
% 18.56/4.40 % (2314020)------------------------------
% 18.56/4.40 % (2314020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/4.40 % (2314020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/4.40 % (2314020)CaDiCaL version: 2.1.3
% 18.56/4.40 % (2314020)Termination reason: Instruction limit
% 18.56/4.40 % (2314020)Termination phase: Saturation
% 18.56/4.40 % (2314020)Time elapsed: 0.172 s
% 18.56/4.40 % (2314020)Peak memory usage: 96 MB
% 18.56/4.40 % (2314020)Instructions burned: 325 (million)
% 18.56/4.40 % (2314026)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=970062308:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 18.56/4.40 % (2314027)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=61414514:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 18.56/4.40 % (2314028)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1329174831:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 18.56/4.40 % (2314030)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2375698083:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 18.56/4.40 % (2314028)Instruction limit reached!
% 18.56/4.40 % (2314028)------------------------------
% 18.56/4.40 % (2314028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/4.40 % (2314028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/4.40 % (2314028)CaDiCaL version: 2.1.3
% 18.56/4.40 % (2314028)Termination reason: Instruction limit
% 18.56/4.40 % (2314028)Termination phase: Preprocessing 1
% 18.56/4.40 % (2314028)Time elapsed: 0.060 s
% 18.56/4.40 % (2314028)Peak memory usage: 90 MB
% 18.56/4.40 % (2314028)Instructions burned: 113 (million)
% 18.56/4.40 % (2314026)Instruction limit reached!
% 18.56/4.40 % (2314026)------------------------------
% 18.56/4.40 % (2314026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/4.40 % (2314026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/4.40 % (2314026)CaDiCaL version: 2.1.3
% 18.56/4.40 % (2314026)Termination reason: Instruction limit
% 18.56/4.40 % (2314026)Termination phase: Preprocessing 3
% 18.56/4.40 % (2314026)Time elapsed: 0.150 s
% 18.56/4.40 % (2314026)Peak memory usage: 95 MB
% 18.56/4.40 % (2314026)Instructions burned: 295 (million)
% 18.56/4.40 % (2314030)Instruction limit reached!
% 18.56/4.40 % (2314030)------------------------------
% 18.56/4.40 % (2314030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.56/4.40 % (2314030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.56/4.40 % (2314030)CaDiCaL version: 2.1.3
% 18.56/4.40 % (2314030)Termination reason: Instruction limit
% 41.35/7.58 % (2314030)Termination phase: Naming
% 41.35/7.58 % (2314030)Time elapsed: 0.069 s
% 41.35/7.58 % (2314030)Peak memory usage: 93 MB
% 41.35/7.58 % (2314030)Instructions burned: 127 (million)
% 41.35/7.58 % (2314034)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3266886171:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 41.35/7.58 % (2314035)lrs+10_1_sil=8000:sp=occurrence:random_seed=2548916600:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 41.35/7.58 % (2314034)Instruction limit reached!
% 41.35/7.58 % (2314034)------------------------------
% 41.35/7.58 % (2314034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314034)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314034)Termination reason: Instruction limit
% 41.35/7.58 % (2314034)Termination phase: Property scanning
% 41.35/7.58 % (2314034)Time elapsed: 0.040 s
% 41.35/7.58 % (2314034)Peak memory usage: 90 MB
% 41.35/7.58 % (2314034)Instructions burned: 115 (million)
% 41.35/7.58 % (2314036)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3083620930:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 41.35/7.58 % (2314039)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4059835123:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 41.35/7.58 % (2314036)Instruction limit reached!
% 41.35/7.58 % (2314036)------------------------------
% 41.35/7.58 % (2314036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314036)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314036)Termination reason: Instruction limit
% 41.35/7.58 % (2314036)Termination phase: Property scanning
% 41.35/7.58 % (2314036)Time elapsed: 0.212 s
% 41.35/7.58 % (2314036)Peak memory usage: 99 MB
% 41.35/7.58 % (2314036)Instructions burned: 438 (million)
% 41.35/7.58 % (2314035)Instruction limit reached!
% 41.35/7.58 % (2314035)------------------------------
% 41.35/7.58 % (2314035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314035)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314035)Termination reason: Instruction limit
% 41.35/7.58 % (2314035)Termination phase: Property scanning
% 41.35/7.58 % (2314035)Time elapsed: 0.376 s
% 41.35/7.58 % (2314035)Peak memory usage: 100 MB
% 41.35/7.58 % (2314035)Instructions burned: 911 (million)
% 41.35/7.58 % (2314042)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2028108104:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 41.35/7.58 % (2314042)Instruction limit reached!
% 41.35/7.58 % (2314042)------------------------------
% 41.35/7.58 % (2314042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314042)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314042)Termination reason: Instruction limit
% 41.35/7.58 % (2314042)Termination phase: Preprocessing 1
% 41.35/7.58 % (2314042)Time elapsed: 0.074 s
% 41.35/7.58 % (2314042)Peak memory usage: 91 MB
% 41.35/7.58 % (2314042)Instructions burned: 134 (million)
% 41.35/7.58 % (2314043)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3618416582:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 41.35/7.58 % (2314045)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1960152320:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 41.35/7.58 % (2314027)Instruction limit reached!
% 41.35/7.58 % (2314027)------------------------------
% 41.35/7.58 % (2314027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314027)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314027)Termination reason: Instruction limit
% 41.35/7.58 % (2314027)Termination phase: Twee Goal Transformation
% 41.35/7.58 % (2314027)Time elapsed: 0.879 s
% 41.35/7.58 % (2314027)Peak memory usage: 105 MB
% 41.35/7.58 % (2314027)Instructions burned: 2353 (million)
% 41.35/7.58 % (2314048)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=750973338:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 41.35/7.58 % (2314043)Instruction limit reached!
% 41.35/7.58 % (2314043)------------------------------
% 41.35/7.58 % (2314043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314043)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314043)Termination reason: Instruction limit
% 41.35/7.58 % (2314043)Termination phase: Preprocessing 3
% 41.35/7.58 % (2314043)Time elapsed: 0.301 s
% 41.35/7.58 % (2314043)Peak memory usage: 102 MB
% 41.35/7.58 % (2314043)Instructions burned: 592 (million)
% 41.35/7.58 % (2314048)Instruction limit reached!
% 41.35/7.58 % (2314048)------------------------------
% 41.35/7.58 % (2314048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314048)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314048)Termination reason: Instruction limit
% 41.35/7.58 % (2314048)Termination phase: Property scanning
% 41.35/7.58 % (2314048)Time elapsed: 0.044 s
% 41.35/7.58 % (2314048)Peak memory usage: 90 MB
% 41.35/7.58 % (2314048)Instructions burned: 128 (million)
% 41.35/7.58 % (2314050)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3817135157:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 41.35/7.58 % (2314051)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1996854945:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 41.35/7.58 % (2314050)Instruction limit reached!
% 41.35/7.58 % (2314050)------------------------------
% 41.35/7.58 % (2314050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314051)Instruction limit reached!
% 41.35/7.58 % (2314051)------------------------------
% 41.35/7.58 % (2314051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314050)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314051)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314050)Termination reason: Instruction limit
% 41.35/7.58 % (2314050)Termination phase: Property scanning
% 41.35/7.58 % (2314051)Termination reason: Instruction limit
% 41.35/7.58 % (2314051)Time elapsed: 0.217 s
% 41.35/7.58 % (2314050)Time elapsed: 0.243 s
% 41.35/7.58 % (2314051)Peak memory usage: 95 MB
% 41.35/7.58 % (2314050)Peak memory usage: 90 MB
% 41.35/7.58 % (2314051)Instructions burned: 163 (million)
% 41.35/7.58 % (2314050)Instructions burned: 687 (million)
% 41.35/7.58 % (2314054)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=740004770:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 41.35/7.58 % (2314055)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=456214369:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 41.35/7.58 % (2314054)Instruction limit reached!
% 41.35/7.58 % (2314054)------------------------------
% 41.35/7.58 % (2314054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314054)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314054)Termination reason: Instruction limit
% 41.35/7.58 % (2314054)Termination phase: Saturation
% 41.35/7.58 % (2314054)Time elapsed: 0.214 s
% 41.35/7.58 % (2314054)Peak memory usage: 97 MB
% 41.35/7.58 % (2314054)Instructions burned: 433 (million)
% 41.35/7.58 % (2314058)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=3685962492:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 41.35/7.58 % (2314058)Instruction limit reached!
% 41.35/7.58 % (2314058)------------------------------
% 41.35/7.58 % (2314058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314058)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314058)Termination reason: Instruction limit
% 41.35/7.58 % (2314058)Termination phase: Preprocessing 1
% 41.35/7.58 % (2314058)Time elapsed: 0.084 s
% 41.35/7.58 % (2314058)Peak memory usage: 91 MB
% 41.35/7.58 % (2314058)Instructions burned: 151 (million)
% 41.35/7.58 % (2314060)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2304585878:i=14155:bd=all_2964 on theBenchmark for (2964ds/14155Mi)
% 41.35/7.58 % (2314039)Instruction limit reached!
% 41.35/7.58 % (2314039)------------------------------
% 41.35/7.58 % (2314039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314039)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314039)Termination reason: Instruction limit
% 41.35/7.58 % (2314039)Termination phase: Saturation
% 41.35/7.58 % (2314039)Time elapsed: 2.962 s
% 41.35/7.58 % (2314039)Peak memory usage: 262 MB
% 41.35/7.58 % (2314039)Instructions burned: 5202 (million)
% 41.35/7.58 % (2314062)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=144562586:i=667:av=off:fsr=off_2950 on theBenchmark for (2950ds/667Mi)
% 41.35/7.58 % (2314062)Instruction limit reached!
% 41.35/7.58 % (2314062)------------------------------
% 41.35/7.58 % (2314062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314062)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314062)Termination reason: Instruction limit
% 41.35/7.58 % (2314062)Termination phase: Property scanning
% 41.35/7.58 % (2314062)Time elapsed: 0.320 s
% 41.35/7.58 % (2314062)Peak memory usage: 102 MB
% 41.35/7.58 % (2314062)Instructions burned: 668 (million)
% 41.35/7.58 % (2314064)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=36973800:s2a=on:i=185:s2at=1.8:fdi=4_2946 on theBenchmark for (2946ds/185Mi)
% 41.35/7.58 % (2314064)Instruction limit reached!
% 41.35/7.58 % (2314064)------------------------------
% 41.35/7.58 % (2314064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314064)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314064)Termination reason: Instruction limit
% 41.35/7.58 % (2314064)Termination phase: Preprocessing 1
% 41.35/7.58 % (2314064)Time elapsed: 0.095 s
% 41.35/7.58 % (2314064)Peak memory usage: 91 MB
% 41.35/7.58 % (2314064)Instructions burned: 186 (million)
% 41.35/7.58 % (2314066)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2577418970:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2943 on theBenchmark for (2943ds/193Mi)
% 41.35/7.58 % (2314066)Instruction limit reached!
% 41.35/7.58 % (2314066)------------------------------
% 41.35/7.58 % (2314066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.35/7.58 % (2314066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.35/7.58 % (2314066)CaDiCaL version: 2.1.3
% 41.35/7.58 % (2314066)Termination reason: Instruction limit
% 41.35/7.58 % (2314066)Termination phase: Preprocessing 1
% 41.35/7.58 % (2314066)Time elapsed: 0.106 s
% 41.35/7.58 % (2314066)Peak memory usage: 90 MB
% 41.35/7.58 % (2314066)Instructions burned: 195 (million)
% 41.35/7.58 % (2314068)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3139499509:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2941 on theBenchmark for (2941ds/4850Mi)
% 41.35/7.58 % (2314004)First to succeed.
% 41.35/7.58 % (2314004)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2313998"
% 41.35/7.58 % (2314004)Refutation found. Thanks to Tanya!
% 41.35/7.58 % SZS status Theorem for theBenchmark
% 41.35/7.58 % SZS output start Proof for theBenchmark
% See solution above
% 42.01/7.77 % (2314004)------------------------------
% 42.01/7.77 % (2314004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.01/7.77 % (2314004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.01/7.77 % (2314004)CaDiCaL version: 2.1.3
% 42.01/7.77 % (2314004)Termination reason: Refutation
% 42.01/7.77 % (2314004)Time elapsed: 5.386 s
% 42.01/7.77 % (2314004)Peak memory usage: 358 MB
% 42.01/7.77 % (2314004)Instructions burned: 14250 (million)
% 42.01/7.77 % (2314004)------------------------------
% 42.01/7.77 % (2314004)------------------------------
% 42.01/7.77 % (2313998)Success in time 6.728 s
% 42.01/7.77 % Vampire exiting
%------------------------------------------------------------------------------