%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO441+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 : n008.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 09:52:39 AM UTC 2026
% Result : Theorem 19.37s 7.55s
% Output : Refutation 36.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 12 unt; 4 def)
% Number of atoms : 161 ( 96 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 61 ~; 75 |; 10 &)
% ( 7 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 41 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [X0] : s(num,i(s(fun(num,num),numeral),s(num,X0))) = s(num,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNUMERAL) ).
fof(f976,axiom,
! [X0] :
( s(real,X0) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
=> s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))),s(real,X0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aREALu_MULu_LINV) ).
fof(f2769,axiom,
! [X0,X1,X2,X3] : 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,X1))),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,X2))),s(cart(real,X0),X3))))) = 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,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))))),s(cart(real,X0),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aVECTORu_MULu_ASSOC) ).
fof(f2770,axiom,
! [X0,X1] : 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,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,X0),X1))) = s(cart(real,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aVECTORu_MULu_LID) ).
fof(f2856,axiom,
! [X0,X1,X2] :
( 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,X1))),s(cart(real,X0),X2))) = 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(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aVECTORu_MULu_EQu_0) ).
fof(f2857,conjecture,
! [X0,X1,X2,X3] :
( 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,X1))),s(cart(real,X0),X2))) = 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,X1))),s(cart(real,X0),X3)))
<=> ( s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = s(cart(real,X0),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aVECTORu_MULu_LCANCEL) ).
fof(f2858,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( 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,X1))),s(cart(real,X0),X2))) = 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,X1))),s(cart(real,X0),X3)))
<=> ( s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = s(cart(real,X0),X3) ) ),
inference(negated_conjecture,[status(cth)],[f2857]) ).
fof(f3050,plain,
? [X0,X1,X2,X3] :
( 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,X1))),s(cart(real,X0),X2))) = 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,X1))),s(cart(real,X0),X3)))
<~> ( s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = s(cart(real,X0),X3) ) ),
inference(ennf_transformation,[],[f2858]) ).
fof(f3440,plain,
! [X0] :
( s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))),s(real,X0))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))
| s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(ennf_transformation,[],[f976]) ).
fof(f3574,plain,
! [X0,X1,X2] :
( ( 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,X1))),s(cart(real,X0),X2))) = 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(real,X1) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
& s(cart(real,X0),X2) != 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(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = 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(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,X1))),s(cart(real,X0),X2))) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ),
inference(nnf_transformation,[],[f2856]) ).
fof(f3575,plain,
! [X0,X1,X2] :
( ( 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,X1))),s(cart(real,X0),X2))) = 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(real,X1) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
& s(cart(real,X0),X2) != 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(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = 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(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,X1))),s(cart(real,X0),X2))) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ),
inference(flattening,[],[f3574]) ).
fof(f3576,plain,
? [X0,X1,X2,X3] :
( ( ( s(real,X1) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
& s(cart(real,X0),X2) != s(cart(real,X0),X3) )
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X1))),s(cart(real,X0),X2))) != 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,X1))),s(cart(real,X0),X3))) )
& ( s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = s(cart(real,X0),X3)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X1))),s(cart(real,X0),X2))) = 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,X1))),s(cart(real,X0),X3))) ) ),
inference(nnf_transformation,[],[f3050]) ).
fof(f3577,plain,
? [X0,X1,X2,X3] :
( ( ( s(real,X1) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
& s(cart(real,X0),X2) != s(cart(real,X0),X3) )
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X1))),s(cart(real,X0),X2))) != 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,X1))),s(cart(real,X0),X3))) )
& ( s(real,X1) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(cart(real,X0),X2) = s(cart(real,X0),X3)
| s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),i(s(fun(real,fun(cart(real,X0),cart(real,X0))),r_),s(real,X1))),s(cart(real,X0),X2))) = 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,X1))),s(cart(real,X0),X3))) ) ),
inference(flattening,[],[f3576]) ).
fof(f3578,plain,
( ( ( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,sK47)
& s(cart(real,sK46),sK48) != s(cart(real,sK46),sK49) )
| s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) != s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) )
& ( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,sK47)
| s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49)
| s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49]),skolemize(X0,sK46),skolemize(X1,sK47),skolemize(X2,sK48),skolemize(X3,sK49)],[f3577]) ).
fof(f4311,plain,
! [X2,X3,X0,X1] : 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,X1))),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,X2))),s(cart(real,X0),X3))))) = 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,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X2))))),s(cart(real,X0),X3))),
inference(cnf_transformation,[],[f2769]) ).
fof(f4312,plain,
! [X0,X1] : s(cart(real,X0),X1) = 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,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,X0),X1))),
inference(cnf_transformation,[],[f2770]) ).
fof(f4441,plain,
! [X2,X0,X1] :
( 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,X1))),s(cart(real,X0),X2))) = 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(real,X1) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f3575]) ).
fof(f4442,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,sK47)
| s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49)
| s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) ),
inference(cnf_transformation,[],[f3578]) ).
fof(f4443,plain,
( s(cart(real,sK46),sK48) != s(cart(real,sK46),sK49)
| s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) != s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) ),
inference(cnf_transformation,[],[f3578]) ).
fof(f4444,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,sK47)
| s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) != s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) ),
inference(cnf_transformation,[],[f3578]) ).
fof(f4806,plain,
! [X0] : s(num,X0) = s(num,i(s(fun(num,num),numeral),s(num,X0))),
inference(cnf_transformation,[],[f200]) ).
fof(f5832,plain,
! [X0] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(real,real),realu_inv),s(real,X0))))),s(real,X0)))
| s(real,X0) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f3440]) ).
fof(f7033,plain,
( s(real,sK47) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49)
| s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) ),
inference(forward_demodulation,[],[f4442,f4806]) ).
fof(f7034,plain,
( s(real,sK47) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) != s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) ),
inference(forward_demodulation,[],[f4444,f4806]) ).
fof(f7036,definition,
( spl1163_1
<=> s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49))) ),
introduced(definition,[new_symbols(definition,[spl1163_1])],[avatar_definition]) ).
fof(f7037,plain,
( s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49)))
| ~ spl1163_1 ),
inference(avatar_component_clause,[],[f7036]) ).
fof(f7038,plain,
( s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) != s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK49)))
| spl1163_1 ),
inference(avatar_component_clause,[],[f7036]) ).
fof(f7040,definition,
( spl1163_2
<=> s(real,sK47) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) ),
introduced(definition,[new_symbols(definition,[spl1163_2])],[avatar_definition]) ).
fof(f7042,plain,
( s(real,sK47) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| spl1163_2 ),
inference(avatar_component_clause,[],[f7040]) ).
fof(f7043,plain,
( ~ spl1163_1
| ~ spl1163_2 ),
inference(avatar_split_clause,[],[f7034,f7040,f7036]) ).
fof(f7044,plain,
( s(real,sK47) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49)
| spl1163_1 ),
inference(backward_subsumption_resolution,[],[f7033,f7038]) ).
fof(f7046,definition,
( spl1163_3
<=> s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49) ),
introduced(definition,[new_symbols(definition,[spl1163_3])],[avatar_definition]) ).
fof(f7047,plain,
( s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49)
| ~ spl1163_3 ),
inference(avatar_component_clause,[],[f7046]) ).
fof(f7048,plain,
( s(cart(real,sK46),sK48) != s(cart(real,sK46),sK49)
| spl1163_3 ),
inference(avatar_component_clause,[],[f7046]) ).
fof(f7049,plain,
( ~ spl1163_1
| ~ spl1163_3 ),
inference(avatar_split_clause,[],[f4443,f7046,f7036]) ).
fof(f7433,plain,
( s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) != s(cart(real,sK46),i(s(fun(num,cart(real,sK46)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,sK47)
| spl1163_1 ),
inference(superposition,[],[f7038,f4441]) ).
fof(f7606,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,sK47)
| spl1163_1 ),
inference(forward_subsumption_resolution,[],[f7433,f4441]) ).
fof(f7721,plain,
( s(real,sK47) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| spl1163_1 ),
inference(forward_demodulation,[],[f7606,f4806]) ).
fof(f7760,plain,
( s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49)
| spl1163_1 ),
inference(backward_subsumption_resolution,[],[f7044,f7721]) ).
fof(f7777,plain,
( spl1163_3
| spl1163_1 ),
inference(avatar_split_clause,[],[f7760,f7036,f7046]) ).
fof(f7861,plain,
( s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48))) != s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48)))
| spl1163_1
| ~ spl1163_3 ),
inference(superposition,[],[f7038,f7047]) ).
fof(f8738,plain,
( $false
| spl1163_1
| ~ spl1163_3 ),
inference(trivial_inequality_removal,[],[f7861]) ).
fof(f8739,plain,
( spl1163_1
| ~ spl1163_3 ),
inference(avatar_contradiction_clause,[],[f8738]) ).
fof(f9417,plain,
( ! [X0] : s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,sK47))))),s(cart(real,sK46),sK49))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,X0))),s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,sK47))),s(cart(real,sK46),sK48)))))
| ~ spl1163_1 ),
inference(superposition,[],[f4311,f7037]) ).
fof(f10559,plain,
( ! [X0] : s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,sK47))))),s(cart(real,sK46),sK49))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,sK47))))),s(cart(real,sK46),sK48)))
| ~ spl1163_1 ),
inference(forward_demodulation,[],[f9417,f4311]) ).
fof(f10919,definition,
( spl1163_4
<=> ! [X0] : s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,sK47))))),s(cart(real,sK46),sK49))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,sK47))))),s(cart(real,sK46),sK48))) ),
introduced(definition,[new_symbols(definition,[spl1163_4])],[avatar_definition]) ).
fof(f10920,plain,
( ! [X0] : s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,sK47))))),s(cart(real,sK46),sK49))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X0))),s(real,sK47))))),s(cart(real,sK46),sK48)))
| ~ spl1163_4 ),
inference(avatar_component_clause,[],[f10919]) ).
fof(f10921,plain,
( spl1163_4
| ~ spl1163_1 ),
inference(avatar_split_clause,[],[f10559,f7036,f10919]) ).
fof(f12303,plain,
( s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,sK46),sK49))) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,sK46),sK48)))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,sK47)
| ~ spl1163_4 ),
inference(superposition,[],[f10920,f5832]) ).
fof(f14259,plain,
( s(cart(real,sK46),sK48) = s(cart(real,sK46),i(s(fun(cart(real,sK46),cart(real,sK46)),i(s(fun(real,fun(cart(real,sK46),cart(real,sK46))),r_),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))),s(cart(real,sK46),sK49)))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,sK47)
| ~ spl1163_4 ),
inference(forward_demodulation,[],[f12303,f4312]) ).
fof(f14483,plain,
( s(cart(real,sK46),sK48) = s(cart(real,sK46),sK49)
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,sK47)
| ~ spl1163_4 ),
inference(forward_demodulation,[],[f14259,f4312]) ).
fof(f14550,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,sK47)
| spl1163_3
| ~ spl1163_4 ),
inference(forward_subsumption_resolution,[],[f14483,f7048]) ).
fof(f14571,plain,
( s(real,sK47) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| spl1163_3
| ~ spl1163_4 ),
inference(forward_demodulation,[],[f14550,f4806]) ).
fof(f14583,plain,
( $false
| spl1163_2
| spl1163_3
| ~ spl1163_4 ),
inference(forward_subsumption_resolution,[],[f14571,f7042]) ).
fof(f14584,plain,
( spl1163_2
| spl1163_3
| ~ spl1163_4 ),
inference(avatar_contradiction_clause,[],[f14583]) ).
cnf(s1,plain,
( ~ spl1163_1
| ~ spl1163_2 ),
inference(sat_conversion,[],[f7043]) ).
cnf(s2,plain,
( ~ spl1163_1
| ~ spl1163_3 ),
inference(sat_conversion,[],[f7049]) ).
cnf(s3,plain,
( spl1163_1
| spl1163_3 ),
inference(sat_conversion,[],[f7777]) ).
cnf(s5,plain,
( spl1163_1
| ~ spl1163_3 ),
inference(sat_conversion,[],[f8739]) ).
cnf(s6,plain,
( ~ spl1163_1
| spl1163_4 ),
inference(sat_conversion,[],[f10921]) ).
cnf(s7,plain,
( spl1163_2
| spl1163_3
| ~ spl1163_4 ),
inference(sat_conversion,[],[f14584]) ).
cnf(s8,plain,
spl1163_1,
inference(rat,[],[s3,s5]) ).
cnf(s9,plain,
spl1163_4,
inference(rat,[],[s6,s8]) ).
cnf(s10,plain,
~ spl1163_3,
inference(rat,[],[s2,s8]) ).
cnf(s11,plain,
~ spl1163_2,
inference(rat,[],[s1,s8]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s7,s9,s10,s11]) ).
fof(f14594,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO441+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n008.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 08:14:54 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 20.57/5.39 % (917189)Detected formulas, will run a generic FOF schedule.
% 20.57/5.39 % (917197)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1152169924:i=109:sd=1:ins=1:gsp=on:ss=axioms_2985 on theBenchmark for (2985ds/109Mi)
% 20.57/5.39 % (917197)Refutation not found, incomplete strategy
% 20.57/5.39 % (917197)------------------------------
% 20.57/5.39 % (917197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.57/5.39 % (917197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.39 % (917197)CaDiCaL version: 2.1.3
% 20.57/5.39 % (917197)Termination reason: Refutation not found, incomplete strategy
% 20.57/5.39 % (917197)Time elapsed: 0.044 s
% 20.57/5.39 % (917197)Peak memory usage: 93 MB
% 20.57/5.39 % (917197)Instructions burned: 90 (million)
% 20.57/5.39 % (917194)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=3653143488:i=141193_2985 on theBenchmark for (2985ds/141193Mi)
% 20.57/5.39 % (917195)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=919449779:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2985 on theBenchmark for (2985ds/134677Mi)
% 20.57/5.39 % (917196)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=2759340742:i=141695:sd=1:nm=32:gsp=on:ss=included_2985 on theBenchmark for (2985ds/141695Mi)
% 20.57/5.39 % (917199)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1346749652:s2a=on:i=139:gtg=position_2985 on theBenchmark for (2985ds/139Mi)
% 20.57/5.39 % (917198)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2884770425:i=119:av=off:ss=axioms_2985 on theBenchmark for (2985ds/119Mi)
% 20.57/5.39 % (917200)dis-21_1_sil=8000:lcm=predicate:random_seed=4135651671:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2985 on theBenchmark for (2985ds/129Mi)
% 20.57/5.39 % (917200)Instruction limit reached!
% 20.57/5.39 % (917200)------------------------------
% 20.57/5.39 % (917200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.57/5.39 % (917200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.39 % (917200)CaDiCaL version: 2.1.3
% 20.57/5.39 % (917200)Termination reason: Instruction limit
% 20.57/5.39 % (917200)Termination phase: Preprocessing 1
% 20.57/5.39 % (917200)Time elapsed: 0.104 s
% 20.57/5.39 % (917200)Peak memory usage: 89 MB
% 20.57/5.39 % (917200)Instructions burned: 129 (million)
% 20.57/5.39 % (917199)Instruction limit reached!
% 20.57/5.39 % (917199)------------------------------
% 20.57/5.39 % (917199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.57/5.39 % (917199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.39 % (917199)CaDiCaL version: 2.1.3
% 20.57/5.39 % (917199)Termination reason: Instruction limit
% 20.57/5.39 % (917199)Termination phase: Property scanning
% 20.57/5.39 % (917199)Time elapsed: 0.105 s
% 20.57/5.39 % (917199)Peak memory usage: 89 MB
% 20.57/5.39 % (917199)Instructions burned: 140 (million)
% 20.57/5.39 % (917198)Instruction limit reached!
% 20.57/5.39 % (917198)------------------------------
% 20.57/5.39 % (917198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.57/5.39 % (917198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.57/5.39 % (917198)CaDiCaL version: 2.1.3
% 20.57/5.39 % (917198)Termination reason: Instruction limit
% 20.57/5.39 % (917198)Termination phase: Naming
% 20.57/5.39 % (917198)Time elapsed: 0.106 s
% 20.57/5.39 % (917198)Peak memory usage: 91 MB
% 20.57/5.39 % (917198)Instructions burned: 119 (million)
% 20.57/5.39 % (917197)------------------------------
% 20.57/5.39 % (917197)------------------------------
% 20.57/5.39 % (917208)lrs+10_1_sil=8000:sp=occurrence:random_seed=34398836:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 20.57/5.39 % (917209)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3159468361:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/157Mi)
% 20.57/5.39 % (917210)lrs+1011_1_sil=32000:sp=occurrence:random_seed=624738032:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 20.57/5.39 % (917209)Instruction limit reached!
% 20.57/5.39 % (917209)------------------------------
% 20.57/5.39 % (917209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.57/5.39 % (917209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.02/7.05 % (917209)CaDiCaL version: 2.1.3
% 33.02/7.05 % (917209)Termination reason: Instruction limit
% 33.02/7.05 % (917209)Termination phase: Property scanning
% 33.02/7.05 % (917209)Time elapsed: 0.119 s
% 33.02/7.05 % (917209)Peak memory usage: 88 MB
% 33.02/7.05 % (917209)Instructions burned: 158 (million)
% 33.02/7.05 % (917211)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=4203055682:s2a=on:i=248:s2at=1.23:gtg=position_2980 on theBenchmark for (2980ds/248Mi)
% 33.02/7.05 % (917211)Instruction limit reached!
% 33.02/7.05 % (917211)------------------------------
% 33.02/7.05 % (917211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.02/7.05 % (917211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.02/7.05 % (917211)CaDiCaL version: 2.1.3
% 33.02/7.05 % (917211)Termination reason: Instruction limit
% 33.02/7.05 % (917211)Termination phase: Property scanning
% 33.02/7.05 % (917211)Time elapsed: 0.096 s
% 33.02/7.05 % (917211)Peak memory usage: 89 MB
% 33.02/7.05 % (917211)Instructions burned: 250 (million)
% 33.02/7.05 % (917208)Instruction limit reached!
% 33.02/7.05 % (917208)------------------------------
% 33.02/7.05 % (917208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.02/7.05 % (917208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.02/7.05 % (917208)CaDiCaL version: 2.1.3
% 33.02/7.05 % (917208)Termination reason: Instruction limit
% 33.02/7.05 % (917208)Termination phase: Property scanning
% 33.02/7.05 % (917208)Time elapsed: 0.234 s
% 33.02/7.05 % (917208)Peak memory usage: 94 MB
% 33.02/7.05 % (917208)Instructions burned: 285 (million)
% 33.02/7.05 % (917210)Instruction limit reached!
% 33.02/7.05 % (917210)------------------------------
% 33.02/7.05 % (917210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.02/7.05 % (917210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.02/7.05 % (917210)CaDiCaL version: 2.1.3
% 33.02/7.05 % (917210)Termination reason: Instruction limit
% 33.02/7.05 % (917210)Termination phase: Saturation
% 33.02/7.05 % (917210)Time elapsed: 0.285 s
% 33.02/7.05 % (917210)Peak memory usage: 95 MB
% 33.02/7.05 % (917210)Instructions burned: 325 (million)
% 33.02/7.05 % (917216)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3369866393:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 33.02/7.05 % (917217)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=825262860:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 33.02/7.05 % (917218)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=239157089:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 33.02/7.05 % (917219)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4063949589:i=127:av=off:fsr=off:sup=off_2975 on theBenchmark for (2975ds/127Mi)
% 33.02/7.05 % (917218)Instruction limit reached!
% 33.02/7.05 % (917218)------------------------------
% 33.02/7.05 % (917218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.02/7.05 % (917218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.02/7.05 % (917218)CaDiCaL version: 2.1.3
% 33.02/7.05 % (917218)Termination reason: Instruction limit
% 33.02/7.05 % (917218)Termination phase: Preprocessing 1
% 33.02/7.05 % (917218)Time elapsed: 0.103 s
% 33.02/7.05 % (917218)Peak memory usage: 90 MB
% 33.02/7.05 % (917218)Instructions burned: 114 (million)
% 33.02/7.05 % (917216)Instruction limit reached!
% 33.02/7.05 % (917216)------------------------------
% 33.02/7.05 % (917216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.02/7.05 % (917216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.02/7.05 % (917216)CaDiCaL version: 2.1.3
% 33.02/7.05 % (917216)Termination reason: Instruction limit
% 33.02/7.05 % (917216)Termination phase: Preprocessing 3
% 33.02/7.05 % (917216)Time elapsed: 0.245 s
% 33.02/7.05 % (917216)Peak memory usage: 95 MB
% 33.02/7.05 % (917216)Instructions burned: 295 (million)
% 33.02/7.05 % (917219)Instruction limit reached!
% 33.02/7.05 % (917219)------------------------------
% 33.02/7.05 % (917219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.02/7.05 % (917219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.02/7.05 % (917219)CaDiCaL version: 2.1.3
% 33.02/7.05 % (917219)Termination reason: Instruction limit
% 33.02/7.05 % (917219)Termination phase: Preprocessing 3
% 19.37/7.55 % (917219)Time elapsed: 0.116 s
% 19.37/7.55 % (917219)Peak memory usage: 93 MB
% 19.37/7.55 % (917219)Instructions burned: 128 (million)
% 19.37/7.55 % (917224)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1033970837:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2972 on theBenchmark for (2972ds/114Mi)
% 19.37/7.55 % (917225)lrs+10_1_sil=8000:sp=occurrence:random_seed=1773414673:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 19.37/7.55 % (917224)Instruction limit reached!
% 19.37/7.55 % (917224)------------------------------
% 19.37/7.55 % (917224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917224)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917224)Termination reason: Instruction limit
% 19.37/7.55 % (917224)Termination phase: Property scanning
% 19.37/7.55 % (917224)Time elapsed: 0.084 s
% 19.37/7.55 % (917224)Peak memory usage: 89 MB
% 19.37/7.55 % (917224)Instructions burned: 114 (million)
% 19.37/7.55 % (917226)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2754511711:i=437:sd=1:aac=none:ss=included_2971 on theBenchmark for (2971ds/437Mi)
% 19.37/7.55 % (917230)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1889038021:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 19.37/7.55 % (917217)Instruction limit reached!
% 19.37/7.55 % (917217)------------------------------
% 19.37/7.55 % (917217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917217)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917217)Termination reason: Instruction limit
% 19.37/7.55 % (917217)Termination phase: Property scanning
% 19.37/7.55 % (917217)Time elapsed: 0.901 s
% 19.37/7.55 % (917217)Peak memory usage: 103 MB
% 19.37/7.55 % (917217)Instructions burned: 2352 (million)
% 19.37/7.55 % (917226)Instruction limit reached!
% 19.37/7.55 % (917226)------------------------------
% 19.37/7.55 % (917226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917226)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917226)Termination reason: Instruction limit
% 19.37/7.55 % (917226)Termination phase: Saturation
% 19.37/7.55 % (917226)Time elapsed: 0.357 s
% 19.37/7.55 % (917226)Peak memory usage: 97 MB
% 19.37/7.55 % (917226)Instructions burned: 438 (million)
% 19.37/7.55 % (917232)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=367075491:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2965 on theBenchmark for (2965ds/134Mi)
% 19.37/7.55 % (917232)Instruction limit reached!
% 19.37/7.55 % (917232)------------------------------
% 19.37/7.55 % (917232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917232)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917232)Termination reason: Instruction limit
% 19.37/7.55 % (917232)Termination phase: NewCNF
% 19.37/7.55 % (917232)Time elapsed: 0.067 s
% 19.37/7.55 % (917232)Peak memory usage: 92 MB
% 19.37/7.55 % (917232)Instructions burned: 136 (million)
% 19.37/7.55 % (917225)Instruction limit reached!
% 19.37/7.55 % (917225)------------------------------
% 19.37/7.55 % (917225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917225)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917225)Termination reason: Instruction limit
% 19.37/7.55 % (917225)Termination phase: Saturation
% 19.37/7.55 % (917225)Time elapsed: 0.701 s
% 19.37/7.55 % (917225)Peak memory usage: 100 MB
% 19.37/7.55 % (917225)Instructions burned: 908 (million)
% 19.37/7.55 % (917233)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3457307070:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 19.37/7.55 % (917235)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2544737922:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 19.37/7.55 % (917236)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=1027955061:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/125Mi)
% 19.37/7.55 % (917236)Instruction limit reached!
% 19.37/7.55 % (917236)------------------------------
% 19.37/7.55 % (917236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917236)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917236)Termination reason: Instruction limit
% 19.37/7.55 % (917236)Termination phase: Property scanning
% 19.37/7.55 % (917236)Time elapsed: 0.095 s
% 19.37/7.55 % (917236)Peak memory usage: 89 MB
% 19.37/7.55 % (917236)Instructions burned: 125 (million)
% 19.37/7.55 % (917233)Instruction limit reached!
% 19.37/7.55 % (917233)------------------------------
% 19.37/7.55 % (917233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917233)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917233)Termination reason: Instruction limit
% 19.37/7.55 % (917233)Termination phase: Property scanning
% 19.37/7.55 % (917233)Time elapsed: 0.486 s
% 19.37/7.55 % (917233)Peak memory usage: 102 MB
% 19.37/7.55 % (917233)Instructions burned: 593 (million)
% 19.37/7.55 % (917240)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3881553385:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 19.37/7.55 % (917240)Instruction limit reached!
% 19.37/7.55 % (917240)------------------------------
% 19.37/7.55 % (917240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917240)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917240)Termination reason: Instruction limit
% 19.37/7.55 % (917240)Termination phase: Property scanning
% 19.37/7.55 % (917240)Time elapsed: 0.100 s
% 19.37/7.55 % (917240)Peak memory usage: 89 MB
% 19.37/7.55 % (917240)Instructions burned: 135 (million)
% 19.37/7.55 % (917241)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2850770336:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/141Mi)
% 19.37/7.55 % (917241)Refutation not found, incomplete strategy
% 19.37/7.55 % (917241)------------------------------
% 19.37/7.55 % (917241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917241)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917241)Termination reason: Refutation not found, incomplete strategy
% 19.37/7.55 % (917241)Time elapsed: 0.063 s
% 19.37/7.55 % (917241)Peak memory usage: 93 MB
% 19.37/7.55 % (917241)Instructions burned: 71 (million)
% 19.37/7.55 % (917243)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2276152062:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2954 on theBenchmark for (2954ds/431Mi)
% 19.37/7.55 % (917243)Refutation not found, incomplete strategy
% 19.37/7.55 % (917243)------------------------------
% 19.37/7.55 % (917243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917243)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917243)Termination reason: Refutation not found, incomplete strategy
% 19.37/7.55 % (917243)Time elapsed: 0.064 s
% 19.37/7.55 % (917243)Peak memory usage: 93 MB
% 19.37/7.55 % (917243)Instructions burned: 73 (million)
% 19.37/7.55 % (917241)------------------------------
% 19.37/7.55 % (917241)------------------------------
% 19.37/7.55 % (917248)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=343555298:i=6060:aac=none:ins=25_2948 on theBenchmark for (2948ds/6060Mi)
% 19.37/7.55 % (917243)------------------------------
% 19.37/7.55 % (917243)------------------------------
% 19.37/7.55 % (917250)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=1194806544:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2945 on theBenchmark for (2945ds/150Mi)
% 19.37/7.55 % (917196)First to succeed.
% 19.37/7.55 % (917196)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-917189"
% 19.37/7.55 % (917250)Instruction limit reached!
% 19.37/7.55 % (917250)------------------------------
% 19.37/7.55 % (917250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.37/7.55 % (917250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.37/7.55 % (917250)CaDiCaL version: 2.1.3
% 19.37/7.55 % (917250)Termination reason: Instruction limit
% 19.37/7.55 % (917250)Termination phase: Preprocessing 2
% 19.37/7.55 % (917250)Time elapsed: 0.134 s
% 19.37/7.55 % (917250)Peak memory usage: 91 MB
% 19.37/7.55 % (917250)Instructions burned: 150 (million)
% 19.37/7.55 % (917252)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1252597252:i=14155:bd=all_2941 on theBenchmark for (2941ds/14155Mi)
% 19.37/7.55 % (917196)Refutation found. Thanks to Tanya!
% 19.37/7.55 % SZS status Theorem for theBenchmark
% 19.37/7.55 % SZS output start Proof for theBenchmark
% See solution above
% 36.74/7.82 % (917196)------------------------------
% 36.74/7.82 % (917196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/7.82 % (917196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/7.82 % (917196)CaDiCaL version: 2.1.3
% 36.74/7.82 % (917196)Termination reason: Refutation
% 36.74/7.82 % (917196)Time elapsed: 4.024 s
% 36.74/7.82 % (917196)Peak memory usage: 181 MB
% 36.74/7.82 % (917196)Instructions burned: 4389 (million)
% 36.74/7.82 % (917196)------------------------------
% 36.74/7.82 % (917196)------------------------------
% 36.74/7.82 % (917189)Success in time 6.344 s
% 36.74/7.82 % Vampire exiting
%------------------------------------------------------------------------------