%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV572+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 : n026.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 12:58:22 PM UTC 2026
% Result : Theorem 6.30s 1.98s
% Output : Refutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 14
% Syntax : Number of formulae : 104 ( 30 unt; 7 def)
% Number of atoms : 299 ( 71 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 295 ( 100 ~; 172 |; 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 : 91 ( 0 sgn 89 !; 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(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_4703_4702) ).
fof(f27,negated_conjecture,
~ ~ subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(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(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(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(f111,plain,
! [X0,X1] :
( mem(sK2(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f112,plain,
! [X0,X1] :
( ~ mem(sK2(X0,X1),X1)
| subq(X0,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(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(u(e,s(e)),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))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(definition_unfolding,[],[f90,f170,f170,f170,f170,f170,f92,f170,f170,f170,f92,f170,f170,f170,f92,f170,f170,f170,f170,f92,f170,f170,f170,f92,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(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(u(e,s(e)),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))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,u(u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
inference(resolution,[],[f110,f171]) ).
fof(f176,plain,
! [X0] :
( mem(X0,u(u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(u(e,s(e)),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)))))))))) ),
inference(resolution,[],[f97,f174]) ).
fof(f188,plain,
! [X0] :
( ~ mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(u(e,s(e)),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)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f176,f95]) ).
fof(f219,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f112,f111]) ).
fof(f230,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f288,plain,
! [X0] :
( mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(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)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(u(u(e,s(e)),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))))))))) ),
inference(resolution,[],[f188,f96]) ).
fof(f295,plain,
! [X0] :
( ~ mem(X0,u(u(u(e,s(e)),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)),s(u(e,s(e))))),s(u(s(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(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))) ),
inference(resolution,[],[f288,f95]) ).
fof(f297,plain,
! [X0] :
( mem(X0,u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(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(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))) ),
inference(resolution,[],[f295,f97]) ).
fof(f305,plain,
! [X0] :
( mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(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(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(X0,s(s(s(u(e,s(e)))))) ),
inference(resolution,[],[f297,f95]) ).
fof(f307,plain,
! [X0] :
( mem(X0,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| ~ mem(X0,u(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,s(s(s(u(e,s(e))))))
| mem(X0,s(u(s(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(e,s(e)))))) ),
inference(resolution,[],[f305,f95]) ).
fof(f309,plain,
! [X0] :
( mem(X0,s(u(s(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,s(s(s(u(e,s(e))))))
| ~ mem(X0,u(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(e,s(e))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e)))))) ),
inference(resolution,[],[f307,f95]) ).
fof(f312,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(s(s(u(e,s(e))))))
| ~ mem(X0,u(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(e,s(e))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f309,f93]) ).
fof(f316,plain,
! [X0] :
( ~ mem(X0,u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(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(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f312,f93]) ).
fof(f318,plain,
! [X0] :
( mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(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(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e))) ),
inference(resolution,[],[f316,f97]) ).
fof(f327,plain,
! [X0] :
( mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(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(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0 ),
inference(resolution,[],[f318,f93]) ).
fof(f329,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,s(s(s(u(e,s(e))))))
| u(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(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(u(e,s(e)))) ),
inference(resolution,[],[f327,f95]) ).
fof(f332,plain,
! [X0] :
( mem(X0,s(s(s(u(e,s(e))))))
| u(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(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 ),
inference(resolution,[],[f329,f93]) ).
fof(f335,plain,
! [X0] :
( mem(X0,s(s(u(e,s(e)))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(s(u(e,s(e)))) = X0 ),
inference(resolution,[],[f332,f93]) ).
fof(f338,plain,
! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| u(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(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,[],[f335,f93]) ).
fof(f341,plain,
! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| u(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(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
| u(e,s(e)) = X0 ),
inference(resolution,[],[f338,f93]) ).
fof(f344,plain,
! [X0] :
( ~ mem(X0,s(e))
| u(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(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
| u(e,s(e)) = X0
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0 ),
inference(resolution,[],[f341,f96]) ).
fof(f351,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = u(u(e,s(e)),s(u(e,s(e))))
| e = s(s(u(e,s(e))))
| e = s(u(e,s(e)))
| e = u(e,s(e))
| e = u(s(u(e,s(e))),s(s(u(e,s(e))))) ),
inference(resolution,[],[f344,f172]) ).
fof(f359,definition,
( spl17_5
<=> e = u(s(u(e,s(e))),s(s(u(e,s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f360,plain,
( e = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,definition,
( spl17_6
<=> e = u(e,s(e)) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f363,plain,
( e = u(e,s(e))
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f365,definition,
( spl17_7
<=> e = s(u(e,s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f366,plain,
( e = s(u(e,s(e)))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f368,definition,
( spl17_8
<=> e = s(s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f369,plain,
( e = s(s(u(e,s(e))))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f371,definition,
( spl17_9
<=> e = u(u(e,s(e)),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f372,plain,
( e = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,definition,
( spl17_10
<=> e = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f375,plain,
( e = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f377,definition,
( spl17_11
<=> e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f378,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f379,plain,
( spl17_5
| spl17_6
| spl17_7
| spl17_8
| spl17_9
| spl17_10
| spl17_11 ),
inference(avatar_split_clause,[],[f351,f377,f374,f371,f368,f365,f362,f359]) ).
fof(f395,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(u(e,s(e)))) )
| ~ spl17_5 ),
inference(superposition,[],[f97,f360]) ).
fof(f398,plain,
( ! [X0] : ~ mem(X0,s(u(e,s(e))))
| ~ spl17_5 ),
inference(forward_subsumption_resolution,[],[f395,f91]) ).
fof(f401,plain,
( $false
| ~ spl17_5 ),
inference(unit_resulting_resolution,[],[f110,f172,f230,f398]) ).
fof(f412,plain,
~ spl17_5,
inference(avatar_contradiction_clause,[],[f401]) ).
fof(f441,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(e)) )
| ~ spl17_6 ),
inference(superposition,[],[f96,f363]) ).
fof(f442,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl17_6 ),
inference(forward_subsumption_resolution,[],[f441,f91]) ).
fof(f514,plain,
( $false
| ~ spl17_6 ),
inference(unit_resulting_resolution,[],[f110,f172,f230,f442]) ).
fof(f524,plain,
~ spl17_6,
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f550,plain,
( mem(u(e,s(e)),e)
| ~ spl17_7 ),
inference(superposition,[],[f172,f366]) ).
fof(f568,plain,
( $false
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f550,f91]) ).
fof(f569,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f635,plain,
( mem(s(u(e,s(e))),e)
| ~ spl17_8 ),
inference(superposition,[],[f172,f369]) ).
fof(f654,plain,
( $false
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f635,f91]) ).
fof(f655,plain,
~ spl17_8,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f728,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_9 ),
inference(superposition,[],[f97,f372]) ).
fof(f731,plain,
( ! [X0] : ~ mem(X0,u(e,s(e)))
| ~ spl17_9 ),
inference(forward_subsumption_resolution,[],[f728,f91]) ).
fof(f732,plain,
( $false
| ~ spl17_9 ),
inference(unit_resulting_resolution,[],[f96,f172,f731]) ).
fof(f741,plain,
~ spl17_9,
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f756,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_10 ),
inference(superposition,[],[f97,f375]) ).
fof(f759,plain,
( ! [X0] : ~ mem(X0,u(e,s(e)))
| ~ spl17_10 ),
inference(forward_subsumption_resolution,[],[f756,f91]) ).
fof(f760,plain,
( $false
| ~ spl17_10 ),
inference(unit_resulting_resolution,[],[f96,f172,f759]) ).
fof(f769,plain,
~ spl17_10,
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f782,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ~ spl17_11 ),
inference(superposition,[],[f96,f378]) ).
fof(f783,plain,
( ! [X0] : ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f782,f91]) ).
fof(f786,plain,
( $false
| ~ spl17_11 ),
inference(unit_resulting_resolution,[],[f110,f172,f230,f783]) ).
fof(f797,plain,
~ spl17_11,
inference(avatar_contradiction_clause,[],[f786]) ).
cnf(s3,plain,
( spl17_5
| spl17_6
| spl17_7
| spl17_8
| spl17_9
| spl17_10
| spl17_11 ),
inference(sat_conversion,[],[f379]) ).
cnf(s6,plain,
~ spl17_5,
inference(sat_conversion,[],[f412]) ).
cnf(s9,plain,
~ spl17_6,
inference(sat_conversion,[],[f524]) ).
cnf(s10,plain,
~ spl17_7,
inference(sat_conversion,[],[f569]) ).
cnf(s11,plain,
~ spl17_8,
inference(sat_conversion,[],[f655]) ).
cnf(s12,plain,
~ spl17_9,
inference(sat_conversion,[],[f741]) ).
cnf(s13,plain,
~ spl17_10,
inference(sat_conversion,[],[f769]) ).
cnf(s16,plain,
~ spl17_11,
inference(sat_conversion,[],[f797]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s3,s16,s13,s12,s11,s10,s9,s6]) ).
fof(f800,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV572+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 06:41:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 6.30/1.98 % (3655216)Detected formulas, will run a generic FOF schedule.
% 6.30/1.98 % (3655223)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=2055882225:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.30/1.98 % (3655224)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2231620119:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.30/1.98 % (3655224)Refutation not found, incomplete strategy
% 6.30/1.98 % (3655224)------------------------------
% 6.30/1.98 % (3655224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655224)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655224)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.98 % (3655224)Time elapsed: 0.001 s
% 6.30/1.98 % (3655224)Peak memory usage: 88 MB
% 6.30/1.98 % (3655221)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=3946949307:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.30/1.98 % (3655222)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=821796276:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.30/1.98 % (3655227)dis-21_1_sil=8000:lcm=predicate:random_seed=1811431271: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)
% 6.30/1.98 % (3655225)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3452887954:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.30/1.98 % (3655226)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2559115446:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.30/1.98 % (3655225)Instruction limit reached!
% 6.30/1.98 % (3655225)------------------------------
% 6.30/1.98 % (3655225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655225)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655225)Termination reason: Instruction limit
% 6.30/1.98 % (3655225)Termination phase: Saturation
% 6.30/1.98 % (3655225)Time elapsed: 0.065 s
% 6.30/1.98 % (3655225)Peak memory usage: 88 MB
% 6.30/1.98 % (3655225)Instructions burned: 120 (million)
% 6.30/1.98 % (3655227)Instruction limit reached!
% 6.30/1.98 % (3655227)------------------------------
% 6.30/1.98 % (3655227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655227)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655227)Termination reason: Instruction limit
% 6.30/1.98 % (3655227)Termination phase: Saturation
% 6.30/1.98 % (3655227)Time elapsed: 0.067 s
% 6.30/1.98 % (3655227)Peak memory usage: 89 MB
% 6.30/1.98 % (3655227)Instructions burned: 131 (million)
% 6.30/1.98 % (3655226)Instruction limit reached!
% 6.30/1.98 % (3655226)------------------------------
% 6.30/1.98 % (3655226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655226)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655226)Termination reason: Instruction limit
% 6.30/1.98 % (3655226)Termination phase: Saturation
% 6.30/1.98 % (3655226)Time elapsed: 0.089 s
% 6.30/1.98 % (3655226)Peak memory usage: 89 MB
% 6.30/1.98 % (3655226)Instructions burned: 139 (million)
% 6.30/1.98 % (3655236)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1886800438:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.30/1.98 % (3655235)lrs+10_1_sil=8000:sp=occurrence:random_seed=2347797772:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.30/1.98 % (3655224)------------------------------
% 6.30/1.98 % (3655224)------------------------------
% 6.30/1.98 % (3655237)lrs+1011_1_sil=32000:sp=occurrence:random_seed=658235129:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.30/1.98 % (3655236)Instruction limit reached!
% 6.30/1.98 % (3655236)------------------------------
% 6.30/1.98 % (3655236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655236)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655236)Termination reason: Instruction limit
% 6.30/1.98 % (3655236)Termination phase: Saturation
% 6.30/1.98 % (3655236)Time elapsed: 0.077 s
% 6.30/1.98 % (3655236)Peak memory usage: 89 MB
% 6.30/1.98 % (3655236)Instructions burned: 159 (million)
% 6.30/1.98 % (3655223)Refutation not found, incomplete strategy
% 6.30/1.98 % (3655223)------------------------------
% 6.30/1.98 % (3655223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655223)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655223)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.98 % (3655223)Time elapsed: 0.340 s
% 6.30/1.98 % (3655223)Peak memory usage: 127 MB
% 6.30/1.98 % (3655223)Instructions burned: 828 (million)
% 6.30/1.98 % (3655235)Instruction limit reached!
% 6.30/1.98 % (3655235)------------------------------
% 6.30/1.98 % (3655235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655235)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655235)Termination reason: Instruction limit
% 6.30/1.98 % (3655235)Termination phase: Saturation
% 6.30/1.98 % (3655235)Time elapsed: 0.166 s
% 6.30/1.98 % (3655235)Peak memory usage: 91 MB
% 6.30/1.98 % (3655235)Instructions burned: 285 (million)
% 6.30/1.98 % (3655241)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=2368316851:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.30/1.98 % (3655242)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2089375253:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.30/1.98 % (3655242)Refutation not found, incomplete strategy
% 6.30/1.98 % (3655242)------------------------------
% 6.30/1.98 % (3655242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655242)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655242)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.98 % (3655242)Time elapsed: 0.002 s
% 6.30/1.98 % (3655242)Peak memory usage: 88 MB
% 6.30/1.98 % (3655242)Instructions burned: 1 (million)
% 6.30/1.98 % (3655237)Instruction limit reached!
% 6.30/1.98 % (3655237)------------------------------
% 6.30/1.98 % (3655237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655237)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655237)Termination reason: Instruction limit
% 6.30/1.98 % (3655237)Termination phase: Saturation
% 6.30/1.98 % (3655237)Time elapsed: 0.199 s
% 6.30/1.98 % (3655237)Peak memory usage: 92 MB
% 6.30/1.98 % (3655237)Instructions burned: 325 (million)
% 6.30/1.98 % (3655223)------------------------------
% 6.30/1.98 % (3655223)------------------------------
% 6.30/1.98 % (3655243)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3563436646:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.30/1.98 % (3655241)Instruction limit reached!
% 6.30/1.98 % (3655241)------------------------------
% 6.30/1.98 % (3655241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655241)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655241)Termination reason: Instruction limit
% 6.30/1.98 % (3655241)Termination phase: Saturation
% 6.30/1.98 % (3655241)Time elapsed: 0.146 s
% 6.30/1.98 % (3655241)Peak memory usage: 91 MB
% 6.30/1.98 % (3655241)Instructions burned: 249 (million)
% 6.30/1.98 % (3655247)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1937673428:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.30/1.98 % (3655246)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=164740430:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.30/1.98 % (3655247)Instruction limit reached!
% 6.30/1.98 % (3655247)------------------------------
% 6.30/1.98 % (3655247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655247)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655247)Termination reason: Instruction limit
% 6.30/1.98 % (3655247)Termination phase: Saturation
% 6.30/1.98 % (3655247)Time elapsed: 0.031 s
% 6.30/1.98 % (3655247)Peak memory usage: 88 MB
% 6.30/1.98 % (3655247)Instructions burned: 129 (million)
% 6.30/1.98 % (3655246)Instruction limit reached!
% 6.30/1.98 % (3655246)------------------------------
% 6.30/1.98 % (3655246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655246)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655246)Termination reason: Instruction limit
% 6.30/1.98 % (3655246)Termination phase: Saturation
% 6.30/1.98 % (3655246)Time elapsed: 0.063 s
% 6.30/1.98 % (3655246)Peak memory usage: 89 MB
% 6.30/1.98 % (3655246)Instructions burned: 114 (million)
% 6.30/1.98 % (3655249)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2392060967:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.30/1.98 % (3655252)lrs+10_1_sil=8000:sp=occurrence:random_seed=1764654135:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.30/1.98 % (3655242)------------------------------
% 6.30/1.98 % (3655242)------------------------------
% 6.30/1.98 % (3655222)First to succeed.
% 6.30/1.98 % (3655221)Also succeeded, but the first one will report.
% 6.30/1.98 % (3655222)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3655216"
% 6.30/1.98 % (3655249)Instruction limit reached!
% 6.30/1.98 % (3655249)------------------------------
% 6.30/1.98 % (3655249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655249)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655249)Termination reason: Instruction limit
% 6.30/1.98 % (3655249)Termination phase: Saturation
% 6.30/1.98 % (3655249)Time elapsed: 0.059 s
% 6.30/1.98 % (3655249)Peak memory usage: 88 MB
% 6.30/1.98 % (3655249)Instructions burned: 115 (million)
% 6.30/1.98 % (3655253)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=948125483:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.30/1.98 % (3655253)Refutation not found, incomplete strategy
% 6.30/1.98 % (3655253)------------------------------
% 6.30/1.98 % (3655253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655253)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655253)Termination reason: Refutation not found, incomplete strategy
% 6.30/1.98 % (3655253)Time elapsed: 0.001 s
% 6.30/1.98 % (3655253)Peak memory usage: 88 MB
% 6.30/1.98 % (3655256)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=418428405:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.30/1.98 % (3655257)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=388442434:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2991 on theBenchmark for (2991ds/134Mi)
% 6.30/1.98 % (3655257)Instruction limit reached!
% 6.30/1.98 % (3655257)------------------------------
% 6.30/1.98 % (3655257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655257)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655257)Termination reason: Instruction limit
% 6.30/1.98 % (3655257)Termination phase: Saturation
% 6.30/1.98 % (3655257)Time elapsed: 0.071 s
% 6.30/1.98 % (3655257)Peak memory usage: 89 MB
% 6.30/1.98 % (3655257)Instructions burned: 136 (million)
% 6.30/1.98 % (3655252)Instruction limit reached!
% 6.30/1.98 % (3655252)------------------------------
% 6.30/1.98 % (3655252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.30/1.98 % (3655252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.30/1.98 % (3655252)CaDiCaL version: 2.1.3
% 6.30/1.98 % (3655252)Termination reason: Instruction limit
% 6.30/1.98 % (3655252)Termination phase: Saturation
% 6.30/1.98 % (3655252)Time elapsed: 0.290 s
% 6.30/1.98 % (3655252)Peak memory usage: 95 MB
% 6.30/1.98 % (3655252)Instructions burned: 908 (million)
% 6.30/1.98 % (3655222)Refutation found. Thanks to Tanya!
% 6.30/1.98 % SZS status Theorem for theBenchmark
% 6.30/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.54/2.18 % (3655222)------------------------------
% 8.54/2.18 % (3655222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.18 % (3655222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.18 % (3655222)CaDiCaL version: 2.1.3
% 8.54/2.18 % (3655222)Termination reason: Refutation
% 8.54/2.18 % (3655222)Time elapsed: 0.718 s
% 8.54/2.18 % (3655222)Peak memory usage: 130 MB
% 8.54/2.18 % (3655222)Instructions burned: 1082 (million)
% 8.54/2.18 % (3655222)------------------------------
% 8.54/2.18 % (3655222)------------------------------
% 8.54/2.18 % (3655216)Success in time 1.126 s
% 8.54/2.18 % Vampire exiting
%------------------------------------------------------------------------------