%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV567+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:58:21 PM UTC 2026
% Result : Theorem 6.63s 2.03s
% Output : Refutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 130 ( 29 unt; 7 def)
% Number of atoms : 359 ( 74 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 360 ( 131 ~; 206 |; 11 &)
% ( 11 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn 84 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_def) ).
fof(f26,conjecture,
~ subq(u(a(a(n(s(s(n(e)))),s(n(n(e)))),a(n(e),n(n(e)))),u(s(u(n(e),n(s(n(e))))),n(a(s(n(e)),n(n(e)))))),u(a(u(n(s(s(n(e)))),n(s(n(n(e))))),a(n(e),n(n(e)))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_1950_1948) ).
fof(f27,negated_conjecture,
~ ~ subq(u(a(a(n(s(s(n(e)))),s(n(n(e)))),a(n(e),n(n(e)))),u(s(u(n(e),n(s(n(e))))),n(a(s(n(e)),n(n(e)))))),u(a(u(n(s(s(n(e)))),n(s(n(n(e))))),a(n(e),n(n(e)))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(a(a(n(s(s(n(e)))),s(n(n(e)))),a(n(e),n(n(e)))),u(s(u(n(e),n(s(n(e))))),n(a(s(n(e)),n(n(e)))))),u(a(u(n(s(s(n(e)))),n(s(n(n(e))))),a(n(e),n(n(e)))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f34]) ).
fof(f45,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f46,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK2(X0,X1),X1)
& mem(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f46]) ).
fof(f90,plain,
subq(u(a(a(n(s(s(n(e)))),s(n(n(e)))),a(n(e),n(n(e)))),u(s(u(n(e),n(s(n(e))))),n(a(s(n(e)),n(n(e)))))),u(a(u(n(s(s(n(e)))),n(s(n(n(e))))),a(n(e),n(n(e)))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f91,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f92,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f93,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f94,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f96,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f97,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f98,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f170,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f98,f92]) ).
fof(f171,plain,
subq(u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(definition_unfolding,[],[f90,f92,f92,f170,f170,f170,f170,f92,f170,f170,f170,f170,f170,f170,f170,f92,f170,f170,f170,f92,f170,f170,f170,f170,f170,f92,f170,f170,f170,f92,f170,f170,f170,f92,f170,f170,f170]) ).
fof(f172,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f94]) ).
fof(f174,plain,
! [X0] :
( ~ mem(X0,u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| mem(X0,u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(resolution,[],[f110,f171]) ).
fof(f175,plain,
! [X0] :
( mem(X0,u(u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(resolution,[],[f174,f96]) ).
fof(f179,plain,
! [X0] :
( mem(X0,u(u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(resolution,[],[f95,f175]) ).
fof(f180,plain,
! [X0] :
( ~ mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f179,f95]) ).
fof(f182,plain,
! [X0] :
( mem(X0,u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f180,f96]) ).
fof(f183,plain,
! [X0] :
( mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ mem(X0,u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))) ),
inference(resolution,[],[f182,f95]) ).
fof(f184,plain,
! [X0] :
( ~ mem(X0,u(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(X0,s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))) ),
inference(resolution,[],[f183,f95]) ).
fof(f185,plain,
! [X0] :
( mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(X0,s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| ~ mem(X0,u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))) ),
inference(resolution,[],[f184,f97]) ).
fof(f187,plain,
! [X0] :
( mem(X0,s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| ~ mem(X0,u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(resolution,[],[f185,f95]) ).
fof(f188,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| ~ mem(X0,u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f187,f93]) ).
fof(f189,plain,
! [X0] :
( ~ mem(X0,u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f188,f93]) ).
fof(f190,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| ~ mem(X0,s(u(e,s(e)))) ),
inference(resolution,[],[f189,f97]) ).
fof(f192,plain,
! [X0] :
( mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| ~ mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f190,f93]) ).
fof(f193,plain,
! [X0] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| ~ mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,s(s(u(e,s(e))))) ),
inference(resolution,[],[f192,f95]) ).
fof(f194,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| ~ mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,s(s(u(e,s(e)))))
| s(u(u(e,s(e)),s(u(e,s(e))))) = X0 ),
inference(resolution,[],[f193,f93]) ).
fof(f195,plain,
! [X0] :
( mem(X0,s(s(s(u(e,s(e))))))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| ~ mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| mem(X0,s(s(u(e,s(e)))))
| s(u(u(e,s(e)),s(u(e,s(e))))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0 ),
inference(resolution,[],[f194,f93]) ).
fof(f196,plain,
! [X0] :
( mem(X0,s(s(u(e,s(e)))))
| ~ mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| s(u(u(e,s(e)),s(u(e,s(e))))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(s(u(e,s(e)))) = X0 ),
inference(resolution,[],[f195,f93]) ).
fof(f197,plain,
! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| s(u(u(e,s(e)),s(u(e,s(e))))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(s(u(e,s(e)))) = X0
| s(u(e,s(e))) = X0 ),
inference(resolution,[],[f196,f93]) ).
fof(f198,plain,
( u(e,s(e)) = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| u(e,s(e)) = u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))
| u(e,s(e)) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(e,s(e)) = s(u(u(e,s(e)),s(u(e,s(e)))))
| u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e))))
| u(e,s(e)) = s(s(u(e,s(e))))
| u(e,s(e)) = s(u(e,s(e))) ),
inference(resolution,[],[f197,f172]) ).
fof(f200,definition,
( spl17_1
<=> u(e,s(e)) = s(u(e,s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f201,plain,
( u(e,s(e)) = s(u(e,s(e)))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl17_2
<=> u(e,s(e)) = s(s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f204,plain,
( u(e,s(e)) = s(s(u(e,s(e))))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,definition,
( spl17_3
<=> u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f207,plain,
( u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl17_4
<=> u(e,s(e)) = s(u(u(e,s(e)),s(u(e,s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f210,plain,
( u(e,s(e)) = s(u(u(e,s(e)),s(u(e,s(e)))))
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,definition,
( spl17_5
<=> u(e,s(e)) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f213,plain,
( u(e,s(e)) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,definition,
( spl17_6
<=> u(e,s(e)) = u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f216,plain,
( u(e,s(e)) = u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,definition,
( spl17_7
<=> u(e,s(e)) = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f219,plain,
( u(e,s(e)) = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( spl17_1
| spl17_2
| spl17_3
| spl17_4
| spl17_5
| spl17_6
| spl17_7 ),
inference(avatar_split_clause,[],[f198,f218,f215,f212,f209,f206,f203,f200]) ).
fof(f232,plain,
( mem(s(u(e,s(e))),u(e,s(e)))
| ~ spl17_2 ),
inference(superposition,[],[f172,f204]) ).
fof(f234,plain,
( mem(s(u(e,s(e))),s(e))
| mem(s(u(e,s(e))),e)
| ~ spl17_2 ),
inference(resolution,[],[f232,f95]) ).
fof(f235,plain,
( mem(s(u(e,s(e))),s(e))
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f234,f91]) ).
fof(f236,plain,
( e = s(u(e,s(e)))
| ~ spl17_2 ),
inference(resolution,[],[f235,f93]) ).
fof(f259,plain,
( mem(u(e,s(e)),e)
| ~ spl17_2 ),
inference(superposition,[],[f172,f236]) ).
fof(f261,plain,
( $false
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f259,f91]) ).
fof(f262,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f327,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| mem(X0,u(e,s(e))) )
| ~ spl17_3 ),
inference(superposition,[],[f96,f207]) ).
fof(f348,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl17_3 ),
inference(resolution,[],[f327,f172]) ).
fof(f349,plain,
( mem(u(e,s(e)),s(e))
| mem(u(e,s(e)),e)
| ~ spl17_3 ),
inference(resolution,[],[f348,f95]) ).
fof(f350,plain,
( mem(u(e,s(e)),s(e))
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f349,f91]) ).
fof(f351,plain,
( e = u(e,s(e))
| ~ spl17_3 ),
inference(resolution,[],[f350,f93]) ).
fof(f373,plain,
( mem(e,e)
| ~ spl17_3 ),
inference(superposition,[],[f348,f351]) ).
fof(f379,plain,
( $false
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f373,f91]) ).
fof(f380,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f475,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 )
| ~ spl17_4 ),
inference(superposition,[],[f93,f210]) ).
fof(f477,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 )
| ~ spl17_4 ),
inference(resolution,[],[f475,f96]) ).
fof(f478,plain,
( e = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_4 ),
inference(resolution,[],[f477,f172]) ).
fof(f493,plain,
( s(e) = u(e,s(e))
| ~ spl17_4 ),
inference(superposition,[],[f210,f478]) ).
fof(f496,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(u(e,s(e)))) )
| ~ spl17_4 ),
inference(superposition,[],[f96,f478]) ).
fof(f497,plain,
( ! [X0] : ~ mem(X0,s(u(e,s(e))))
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f496,f91]) ).
fof(f513,plain,
( ! [X0] : ~ mem(X0,s(s(e)))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f497,f493]) ).
fof(f635,plain,
( $false
| ~ spl17_4 ),
inference(unit_resulting_resolution,[],[f513,f172]) ).
fof(f638,plain,
~ spl17_4,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f647,plain,
( ! [X0] :
( ~ mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| mem(X0,u(e,s(e))) )
| ~ spl17_5 ),
inference(superposition,[],[f96,f213]) ).
fof(f648,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| mem(X0,u(e,s(e))) )
| ~ spl17_5 ),
inference(resolution,[],[f647,f97]) ).
fof(f650,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl17_5 ),
inference(resolution,[],[f648,f172]) ).
fof(f651,plain,
( mem(u(e,s(e)),s(e))
| mem(u(e,s(e)),e)
| ~ spl17_5 ),
inference(resolution,[],[f650,f95]) ).
fof(f652,plain,
( mem(u(e,s(e)),s(e))
| ~ spl17_5 ),
inference(forward_subsumption_resolution,[],[f651,f91]) ).
fof(f653,plain,
( e = u(e,s(e))
| ~ spl17_5 ),
inference(resolution,[],[f652,f93]) ).
fof(f676,plain,
( mem(e,e)
| ~ spl17_5 ),
inference(superposition,[],[f650,f653]) ).
fof(f682,plain,
( $false
| ~ spl17_5 ),
inference(forward_subsumption_resolution,[],[f676,f91]) ).
fof(f683,plain,
~ spl17_5,
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f786,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| mem(X0,u(e,s(e))) )
| ~ spl17_6 ),
inference(superposition,[],[f97,f216]) ).
fof(f796,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl17_6 ),
inference(resolution,[],[f786,f172]) ).
fof(f798,plain,
( mem(u(e,s(e)),s(e))
| mem(u(e,s(e)),e)
| ~ spl17_6 ),
inference(resolution,[],[f796,f95]) ).
fof(f799,plain,
( mem(u(e,s(e)),s(e))
| ~ spl17_6 ),
inference(forward_subsumption_resolution,[],[f798,f91]) ).
fof(f800,plain,
( e = u(e,s(e))
| ~ spl17_6 ),
inference(resolution,[],[f799,f93]) ).
fof(f825,plain,
( mem(e,e)
| ~ spl17_6 ),
inference(superposition,[],[f796,f800]) ).
fof(f831,plain,
( $false
| ~ spl17_6 ),
inference(forward_subsumption_resolution,[],[f825,f91]) ).
fof(f832,plain,
~ spl17_6,
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f924,plain,
( ! [X0] :
( ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,u(e,s(e))) )
| ~ spl17_7 ),
inference(superposition,[],[f96,f219]) ).
fof(f926,plain,
( mem(u(u(e,s(e)),s(u(e,s(e)))),u(e,s(e)))
| ~ spl17_7 ),
inference(resolution,[],[f924,f172]) ).
fof(f928,plain,
( mem(u(u(e,s(e)),s(u(e,s(e)))),s(e))
| mem(u(u(e,s(e)),s(u(e,s(e)))),e)
| ~ spl17_7 ),
inference(resolution,[],[f926,f95]) ).
fof(f929,plain,
( mem(u(u(e,s(e)),s(u(e,s(e)))),s(e))
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f928,f91]) ).
fof(f930,plain,
( e = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_7 ),
inference(resolution,[],[f929,f93]) ).
fof(f950,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_7 ),
inference(superposition,[],[f97,f930]) ).
fof(f953,plain,
( ! [X0] : ~ mem(X0,u(e,s(e)))
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f950,f91]) ).
fof(f976,plain,
( $false
| ~ spl17_7 ),
inference(unit_resulting_resolution,[],[f96,f172,f953]) ).
fof(f983,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f1003,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl17_1 ),
inference(superposition,[],[f172,f201]) ).
fof(f1072,plain,
( mem(u(e,s(e)),s(e))
| mem(u(e,s(e)),e)
| ~ spl17_1 ),
inference(resolution,[],[f1003,f95]) ).
fof(f1073,plain,
( mem(u(e,s(e)),s(e))
| ~ spl17_1 ),
inference(forward_subsumption_resolution,[],[f1072,f91]) ).
fof(f1074,plain,
( e = u(e,s(e))
| ~ spl17_1 ),
inference(resolution,[],[f1073,f93]) ).
fof(f1095,plain,
( mem(e,e)
| ~ spl17_1 ),
inference(superposition,[],[f1003,f1074]) ).
fof(f1101,plain,
( $false
| ~ spl17_1 ),
inference(forward_subsumption_resolution,[],[f1095,f91]) ).
fof(f1102,plain,
~ spl17_1,
inference(avatar_contradiction_clause,[],[f1101]) ).
cnf(s1,plain,
( spl17_1
| spl17_2
| spl17_3
| spl17_4
| spl17_5
| spl17_6
| spl17_7 ),
inference(sat_conversion,[],[f220]) ).
cnf(s2,plain,
~ spl17_2,
inference(sat_conversion,[],[f262]) ).
cnf(s3,plain,
~ spl17_3,
inference(sat_conversion,[],[f380]) ).
cnf(s5,plain,
~ spl17_4,
inference(sat_conversion,[],[f638]) ).
cnf(s6,plain,
~ spl17_5,
inference(sat_conversion,[],[f683]) ).
cnf(s7,plain,
~ spl17_6,
inference(sat_conversion,[],[f832]) ).
cnf(s11,plain,
~ spl17_7,
inference(sat_conversion,[],[f983]) ).
cnf(s12,plain,
~ spl17_1,
inference(sat_conversion,[],[f1102]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s11,s7,s6,s5,s3,s2,s12]) ).
fof(f1299,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV567+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 06:37:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.63/2.03 % (1384683)Detected formulas, will run a generic FOF schedule.
% 6.63/2.03 % (1384692)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3579855188:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.63/2.03 % (1384692)Instruction limit reached!
% 6.63/2.03 % (1384692)------------------------------
% 6.63/2.03 % (1384692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384692)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384692)Termination reason: Instruction limit
% 6.63/2.03 % (1384692)Termination phase: Saturation
% 6.63/2.03 % (1384692)Time elapsed: 0.033 s
% 6.63/2.03 % (1384692)Peak memory usage: 88 MB
% 6.63/2.03 % (1384692)Instructions burned: 122 (million)
% 6.63/2.03 % (1384690)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=849915792:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.63/2.03 % (1384688)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=3295332764:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.63/2.03 % (1384691)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4204112434:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.63/2.03 % (1384689)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=2639245617:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.63/2.03 % (1384691)Refutation not found, incomplete strategy
% 6.63/2.03 % (1384691)------------------------------
% 6.63/2.03 % (1384691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384691)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384691)Termination reason: Refutation not found, incomplete strategy
% 6.63/2.03 % (1384691)Time elapsed: 0.001 s
% 6.63/2.03 % (1384691)Peak memory usage: 88 MB
% 6.63/2.03 % (1384693)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=996488420:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.63/2.03 % (1384694)dis-21_1_sil=8000:lcm=predicate:random_seed=3850080510:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.63/2.03 % (1384694)Instruction limit reached!
% 6.63/2.03 % (1384694)------------------------------
% 6.63/2.03 % (1384694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384694)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384694)Termination reason: Instruction limit
% 6.63/2.03 % (1384694)Termination phase: Saturation
% 6.63/2.03 % (1384694)Time elapsed: 0.069 s
% 6.63/2.03 % (1384694)Peak memory usage: 89 MB
% 6.63/2.03 % (1384694)Instructions burned: 130 (million)
% 6.63/2.03 % (1384693)Instruction limit reached!
% 6.63/2.03 % (1384693)------------------------------
% 6.63/2.03 % (1384693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384693)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384693)Termination reason: Instruction limit
% 6.63/2.03 % (1384693)Termination phase: Saturation
% 6.63/2.03 % (1384693)Time elapsed: 0.081 s
% 6.63/2.03 % (1384693)Peak memory usage: 89 MB
% 6.63/2.03 % (1384693)Instructions burned: 140 (million)
% 6.63/2.03 % (1384696)lrs+10_1_sil=8000:sp=occurrence:random_seed=2315088686:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.63/2.03 % (1384696)Instruction limit reached!
% 6.63/2.03 % (1384696)------------------------------
% 6.63/2.03 % (1384696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384696)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384696)Termination reason: Instruction limit
% 6.63/2.03 % (1384696)Termination phase: Saturation
% 6.63/2.03 % (1384696)Time elapsed: 0.091 s
% 6.63/2.03 % (1384696)Peak memory usage: 91 MB
% 6.63/2.03 % (1384696)Instructions burned: 288 (million)
% 6.63/2.03 % (1384703)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2699085058:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.63/2.03 % (1384704)lrs+1011_1_sil=32000:sp=occurrence:random_seed=805017926:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.63/2.03 % (1384691)------------------------------
% 6.63/2.03 % (1384691)------------------------------
% 6.63/2.03 % (1384703)Instruction limit reached!
% 6.63/2.03 % (1384703)------------------------------
% 6.63/2.03 % (1384703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384703)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384703)Termination reason: Instruction limit
% 6.63/2.03 % (1384703)Termination phase: Saturation
% 6.63/2.03 % (1384703)Time elapsed: 0.078 s
% 6.63/2.03 % (1384703)Peak memory usage: 89 MB
% 6.63/2.03 % (1384703)Instructions burned: 158 (million)
% 6.63/2.03 % (1384706)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=1633321361:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.63/2.03 % (1384706)Instruction limit reached!
% 6.63/2.03 % (1384706)------------------------------
% 6.63/2.03 % (1384706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384706)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384706)Termination reason: Instruction limit
% 6.63/2.03 % (1384706)Termination phase: Saturation
% 6.63/2.03 % (1384706)Time elapsed: 0.076 s
% 6.63/2.03 % (1384706)Peak memory usage: 91 MB
% 6.63/2.03 % (1384706)Instructions burned: 252 (million)
% 6.63/2.03 % (1384709)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2358046022:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.63/2.03 % (1384709)Refutation not found, incomplete strategy
% 6.63/2.03 % (1384709)------------------------------
% 6.63/2.03 % (1384709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384709)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384709)Termination reason: Refutation not found, incomplete strategy
% 6.63/2.03 % (1384709)Time elapsed: 0.002 s
% 6.63/2.03 % (1384709)Peak memory usage: 88 MB
% 6.63/2.03 % (1384709)Instructions burned: 2 (million)
% 6.63/2.03 % (1384704)Instruction limit reached!
% 6.63/2.03 % (1384704)------------------------------
% 6.63/2.03 % (1384704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384704)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384704)Termination reason: Instruction limit
% 6.63/2.03 % (1384704)Termination phase: Saturation
% 6.63/2.03 % (1384704)Time elapsed: 0.198 s
% 6.63/2.03 % (1384704)Peak memory usage: 92 MB
% 6.63/2.03 % (1384704)Instructions burned: 326 (million)
% 6.63/2.03 % (1384710)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=351104434:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.63/2.03 % (1384712)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2974933417:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.63/2.03 % (1384712)Instruction limit reached!
% 6.63/2.03 % (1384712)------------------------------
% 6.63/2.03 % (1384712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384712)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384712)Termination reason: Instruction limit
% 6.63/2.03 % (1384712)Termination phase: Saturation
% 6.63/2.03 % (1384712)Time elapsed: 0.034 s
% 6.63/2.03 % (1384712)Peak memory usage: 89 MB
% 6.63/2.03 % (1384712)Instructions burned: 114 (million)
% 6.63/2.03 % (1384690)Refutation not found, incomplete strategy
% 6.63/2.03 % (1384690)------------------------------
% 6.63/2.03 % (1384690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384690)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384690)Termination reason: Refutation not found, incomplete strategy
% 6.63/2.03 % (1384690)Time elapsed: 0.565 s
% 6.63/2.03 % (1384690)Peak memory usage: 125 MB
% 6.63/2.03 % (1384690)Instructions burned: 828 (million)
% 6.63/2.03 % (1384714)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2523868073:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.63/2.03 % (1384709)------------------------------
% 6.63/2.03 % (1384709)------------------------------
% 6.63/2.03 % (1384717)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1020746783:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.63/2.03 % (1384714)Instruction limit reached!
% 6.63/2.03 % (1384714)------------------------------
% 6.63/2.03 % (1384714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384714)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384714)Termination reason: Instruction limit
% 6.63/2.03 % (1384714)Termination phase: Saturation
% 6.63/2.03 % (1384714)Time elapsed: 0.059 s
% 6.63/2.03 % (1384714)Peak memory usage: 88 MB
% 6.63/2.03 % (1384714)Instructions burned: 129 (million)
% 6.63/2.03 % (1384717)Instruction limit reached!
% 6.63/2.03 % (1384717)------------------------------
% 6.63/2.03 % (1384717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384717)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384717)Termination reason: Instruction limit
% 6.63/2.03 % (1384717)Termination phase: Saturation
% 6.63/2.03 % (1384717)Time elapsed: 0.031 s
% 6.63/2.03 % (1384717)Peak memory usage: 88 MB
% 6.63/2.03 % (1384717)Instructions burned: 115 (million)
% 6.63/2.03 % (1384689)First to succeed.
% 6.63/2.03 % (1384689)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1384683"
% 6.63/2.03 % (1384720)lrs+10_1_sil=8000:sp=occurrence:random_seed=1666193904:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.63/2.03 % (1384721)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2249286157:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.63/2.03 % (1384721)Refutation not found, incomplete strategy
% 6.63/2.03 % (1384721)------------------------------
% 6.63/2.03 % (1384721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.03 % (1384721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.03 % (1384721)CaDiCaL version: 2.1.3
% 6.63/2.03 % (1384721)Termination reason: Refutation not found, incomplete strategy
% 6.63/2.03 % (1384721)Time elapsed: 0.001 s
% 6.63/2.03 % (1384721)Peak memory usage: 87 MB
% 6.63/2.03 % (1384690)------------------------------
% 6.63/2.03 % (1384690)------------------------------
% 6.63/2.03 % (1384722)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=243816284:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.63/2.03 % (1384688)Also succeeded, but the first one will report.
% 6.63/2.03 % (1384726)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2275096425:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.63/2.03 % (1384689)Refutation found. Thanks to Tanya!
% 6.63/2.03 % SZS status Theorem for theBenchmark
% 6.63/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.93/2.22 % (1384689)------------------------------
% 8.93/2.22 % (1384689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.22 % (1384689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.22 % (1384689)CaDiCaL version: 2.1.3
% 8.93/2.22 % (1384689)Termination reason: Refutation
% 8.93/2.22 % (1384689)Time elapsed: 0.744 s
% 8.93/2.22 % (1384689)Peak memory usage: 129 MB
% 8.93/2.22 % (1384689)Instructions burned: 1072 (million)
% 8.93/2.22 % (1384689)------------------------------
% 8.93/2.22 % (1384689)------------------------------
% 8.93/2.22 % (1384683)Success in time 1.18 s
% 8.93/2.22 % Vampire exiting
%------------------------------------------------------------------------------