%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV555+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:58:19 PM UTC 2026
% Result : Theorem 6.36s 1.65s
% Output : Refutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 165 ( 30 unt; 10 def)
% Number of atoms : 420 ( 43 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 442 ( 187 ~; 212 |; 24 &)
% ( 18 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 142 ( 0 sgn 137 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f3,axiom,
! [X0,X1] :
( disj(X0,X1)
<=> ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f7,axiom,
! [X0,X1,X2] :
( mem(X0,m(X1,X2))
<=> ( mem(X0,X1)
& ~ mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f26,conjecture,
disj(m(u(p(p(s(n(e)))),p(n(n(n(e))))),a(p(s(n(e))),n(n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(s(n(e))),n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_1850_4224) ).
fof(f27,negated_conjecture,
~ disj(m(u(p(p(s(n(e)))),p(n(n(n(e))))),a(p(s(n(e))),n(n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(s(n(e))),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ disj(m(u(p(p(s(n(e)))),p(n(n(n(e))))),a(p(s(n(e))),n(n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(s(n(e))),n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( disj(X0,X1)
<=> ! [X2] :
( ~ mem(X2,X0)
| ~ mem(X2,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
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(f36,plain,
! [X0,X1] :
( ( disj(X0,X1)
| ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) )
& ( ! [X2] :
( ~ mem(X2,X0)
| ~ mem(X2,X1) )
| ~ disj(X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f37,plain,
! [X0,X1] :
( ( disj(X0,X1)
| ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) )
& ( ! [X3] :
( ~ mem(X3,X0)
| ~ mem(X3,X1) )
| ~ disj(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( disj(X0,X1)
| ( mem(sK0(X0,X1),X0)
& mem(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ mem(X3,X0)
| ~ mem(X3,X1) )
| ~ disj(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(flattening,[],[f39]) ).
fof(f44,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
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,
~ disj(m(u(p(p(s(n(e)))),p(n(n(n(e))))),a(p(s(n(e))),n(n(n(e))))),a(s(u(n(e),n(s(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(f99,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X1)
| disj(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f100,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| disj(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| mem(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f104,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
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,[],[f104,f92]) ).
fof(f171,plain,
~ disj(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f90,f170,f170,f170,f170,f92,f170,f170,f170,f170,f92,f170,f170,f170,f92,f170,f170,f170]) ).
fof(f172,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f94]) ).
fof(f177,plain,
! [X2,X0,X1] :
( mem(sK0(m(X0,X1),X2),X0)
| disj(m(X0,X1),X2) ),
inference(resolution,[],[f100,f102]) ).
fof(f212,plain,
! [X2,X0,X1] :
( mem(sK0(X0,u(X1,X2)),X2)
| mem(sK0(X0,u(X1,X2)),X1)
| disj(X0,u(X1,X2)) ),
inference(resolution,[],[f95,f99]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( mem(sK0(m(u(X0,X1),X2),X3),X1)
| mem(sK0(m(u(X0,X1),X2),X3),X0)
| disj(m(u(X0,X1),X2),X3) ),
inference(resolution,[],[f95,f177]) ).
fof(f435,plain,
! [X2,X0,X1] :
( mem(sK0(X0,u(X1,s(X2))),X1)
| disj(X0,u(X1,s(X2)))
| sK0(X0,u(X1,s(X2))) = X2 ),
inference(resolution,[],[f212,f93]) ).
fof(f456,plain,
! [X2,X0,X1] :
( disj(X0,u(s(X1),s(X2)))
| sK0(X0,u(s(X1),s(X2))) = X2
| sK0(X0,u(s(X1),s(X2))) = X1 ),
inference(resolution,[],[f435,f93]) ).
fof(f462,plain,
( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK0(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = sK0(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f456,f171]) ).
fof(f465,definition,
( spl17_1
<=> u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = sK0(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f466,plain,
( u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = sK0(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,definition,
( spl17_2
<=> u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK0(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f469,plain,
( u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK0(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f462,f468,f465]) ).
fof(f473,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(p(s(u(e,s(e))))))
| mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| disj(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl17_2 ),
inference(superposition,[],[f215,f469]) ).
fof(f482,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(p(s(u(e,s(e))))))
| mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f473,f171]) ).
fof(f486,definition,
( spl17_3
<=> mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(p(s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f487,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(p(s(u(e,s(e))))))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f489,definition,
( spl17_4
<=> mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(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(f490,plain,
( mem(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f492,plain,
( spl17_4
| spl17_3
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f482,f468,f486,f489]) ).
fof(f503,plain,
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(s(u(e,s(e)))))
| ~ spl17_3 ),
inference(resolution,[],[f487,f108]) ).
fof(f508,plain,
( ! [X0] :
( ~ mem(X0,u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,p(s(u(e,s(e))))) )
| ~ spl17_3 ),
inference(resolution,[],[f503,f110]) ).
fof(f518,plain,
( ! [X0] :
( ~ mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,p(s(u(e,s(e))))) )
| ~ spl17_3 ),
inference(resolution,[],[f508,f96]) ).
fof(f535,plain,
( mem(u(u(e,s(e)),s(u(e,s(e)))),p(s(u(e,s(e)))))
| ~ spl17_3 ),
inference(resolution,[],[f518,f172]) ).
fof(f552,plain,
( subq(u(u(e,s(e)),s(u(e,s(e)))),s(u(e,s(e))))
| ~ spl17_3 ),
inference(resolution,[],[f535,f108]) ).
fof(f556,plain,
( ! [X0] :
( ~ mem(X0,u(u(e,s(e)),s(u(e,s(e)))))
| mem(X0,s(u(e,s(e)))) )
| ~ spl17_3 ),
inference(resolution,[],[f552,f110]) ).
fof(f559,definition,
( spl17_7
<=> s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f560,plain,
( s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f569,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_3 ),
inference(resolution,[],[f556,f97]) ).
fof(f645,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_7 ),
inference(superposition,[],[f97,f560]) ).
fof(f668,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl17_3 ),
inference(resolution,[],[f569,f93]) ).
fof(f676,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(e,s(e)) = X0 )
| ~ spl17_3 ),
inference(resolution,[],[f668,f96]) ).
fof(f693,plain,
( e = u(e,s(e))
| ~ spl17_3 ),
inference(resolution,[],[f676,f172]) ).
fof(f731,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(e)) )
| ~ spl17_3 ),
inference(superposition,[],[f96,f693]) ).
fof(f745,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f731,f91]) ).
fof(f1000,plain,
( $false
| ~ spl17_3 ),
inference(unit_resulting_resolution,[],[f745,f172]) ).
fof(f1019,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1020,plain,
( subq(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ spl17_4 ),
inference(resolution,[],[f490,f108]) ).
fof(f1024,plain,
( ! [X0] :
( mem(X0,u(u(u(e,s(e)),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(u(u(e,s(e)),s(u(e,s(e))))))) )
| ~ spl17_4 ),
inference(resolution,[],[f1020,f110]) ).
fof(f1033,plain,
( ! [X0] :
( ~ mem(X0,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))))))
| mem(X0,u(u(e,s(e)),s(u(e,s(e))))) )
| ~ spl17_4 ),
inference(resolution,[],[f1024,f95]) ).
fof(f1040,plain,
( ! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,u(u(e,s(e)),s(u(e,s(e)))))
| ~ mem(X0,s(s(u(e,s(e))))) )
| ~ spl17_4 ),
inference(resolution,[],[f1033,f97]) ).
fof(f1059,plain,
( ! [X0] :
( mem(X0,u(u(e,s(e)),s(u(e,s(e)))))
| ~ mem(X0,s(s(u(e,s(e)))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 )
| ~ spl17_4 ),
inference(resolution,[],[f1040,f93]) ).
fof(f1066,plain,
( ! [X0] :
( ~ mem(X0,s(s(u(e,s(e)))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| mem(X0,s(u(e,s(e))))
| mem(X0,u(e,s(e))) )
| ~ spl17_4 ),
inference(resolution,[],[f1059,f95]) ).
fof(f1073,plain,
( s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e))))
| mem(s(u(e,s(e))),s(u(e,s(e))))
| mem(s(u(e,s(e))),u(e,s(e)))
| ~ spl17_4 ),
inference(resolution,[],[f1066,f172]) ).
fof(f1091,definition,
( spl17_12
<=> mem(s(u(e,s(e))),u(e,s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f1092,plain,
( mem(s(u(e,s(e))),u(e,s(e)))
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1094,definition,
( spl17_13
<=> mem(s(u(e,s(e))),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f1095,plain,
( mem(s(u(e,s(e))),s(u(e,s(e))))
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1096,plain,
( spl17_12
| spl17_13
| spl17_7
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f1073,f489,f559,f1094,f1091]) ).
fof(f1129,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl17_7 ),
inference(resolution,[],[f645,f93]) ).
fof(f1137,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(e,s(e)) = X0 )
| ~ spl17_7 ),
inference(resolution,[],[f1129,f96]) ).
fof(f1154,plain,
( e = u(e,s(e))
| ~ spl17_7 ),
inference(resolution,[],[f1137,f172]) ).
fof(f1180,plain,
( s(e) = u(e,s(e))
| ~ spl17_7 ),
inference(superposition,[],[f560,f1154]) ).
fof(f1214,plain,
( e = s(e)
| ~ spl17_7 ),
inference(forward_demodulation,[],[f1180,f1154]) ).
fof(f1287,plain,
( mem(e,e)
| ~ spl17_7 ),
inference(superposition,[],[f172,f1214]) ).
fof(f1307,plain,
( $false
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f1287,f91]) ).
fof(f1308,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1357,plain,
( mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(p(s(u(e,s(e))))))
| mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| disj(m(u(p(p(s(u(e,s(e))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(p(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(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(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl17_1 ),
inference(superposition,[],[f215,f466]) ).
fof(f1367,plain,
( mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(p(s(u(e,s(e))))))
| mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl17_1 ),
inference(forward_subsumption_resolution,[],[f1357,f171]) ).
fof(f1371,definition,
( spl17_14
<=> mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(p(s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f1372,plain,
( mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(p(s(u(e,s(e))))))
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1374,definition,
( spl17_15
<=> mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f1375,plain,
( mem(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1377,plain,
( spl17_15
| spl17_14
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f1367,f465,f1371,f1374]) ).
fof(f1385,plain,
( subq(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ spl17_15 ),
inference(resolution,[],[f1375,f108]) ).
fof(f1391,plain,
( ! [X0] :
( mem(X0,u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ mem(X0,u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))) )
| ~ spl17_15 ),
inference(resolution,[],[f1385,f110]) ).
fof(f1400,plain,
( ! [X0] :
( ~ mem(X0,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(e,s(e))))))
| mem(X0,u(u(e,s(e)),s(u(e,s(e))))) )
| ~ spl17_15 ),
inference(resolution,[],[f1391,f95]) ).
fof(f1408,plain,
( ! [X0] :
( ~ mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| mem(X0,u(u(e,s(e)),s(u(e,s(e)))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e)))))) )
| ~ spl17_15 ),
inference(resolution,[],[f1400,f96]) ).
fof(f1426,plain,
( ! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,u(u(e,s(e)),s(u(e,s(e)))))
| ~ mem(X0,s(s(u(e,s(e))))) )
| ~ spl17_15 ),
inference(resolution,[],[f1408,f96]) ).
fof(f1444,plain,
( ! [X0] :
( mem(X0,u(u(e,s(e)),s(u(e,s(e)))))
| ~ mem(X0,s(s(u(e,s(e)))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 )
| ~ spl17_15 ),
inference(resolution,[],[f1426,f93]) ).
fof(f1451,plain,
( ! [X0] :
( ~ mem(X0,s(s(u(e,s(e)))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| mem(X0,s(u(e,s(e))))
| mem(X0,u(e,s(e))) )
| ~ spl17_15 ),
inference(resolution,[],[f1444,f95]) ).
fof(f1458,plain,
( s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e))))
| mem(s(u(e,s(e))),s(u(e,s(e))))
| mem(s(u(e,s(e))),u(e,s(e)))
| ~ spl17_15 ),
inference(resolution,[],[f1451,f172]) ).
fof(f1475,plain,
( spl17_12
| spl17_13
| spl17_7
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f1458,f1374,f559,f1094,f1091]) ).
fof(f1476,plain,
( subq(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))),p(s(u(e,s(e)))))
| ~ spl17_14 ),
inference(resolution,[],[f1372,f108]) ).
fof(f1483,plain,
( ! [X0] :
( ~ mem(X0,u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,p(s(u(e,s(e))))) )
| ~ spl17_14 ),
inference(resolution,[],[f1476,f110]) ).
fof(f1493,plain,
( ! [X0] :
( ~ mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| mem(X0,p(s(u(e,s(e))))) )
| ~ spl17_14 ),
inference(resolution,[],[f1483,f96]) ).
fof(f1510,plain,
( ! [X0] :
( mem(X0,p(s(u(e,s(e)))))
| ~ mem(X0,s(u(e,s(e)))) )
| ~ spl17_14 ),
inference(resolution,[],[f1493,f97]) ).
fof(f1528,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| subq(X0,s(u(e,s(e)))) )
| ~ spl17_14 ),
inference(resolution,[],[f1510,f108]) ).
fof(f1536,plain,
( subq(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_14 ),
inference(resolution,[],[f1528,f172]) ).
fof(f1555,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_14 ),
inference(resolution,[],[f1536,f110]) ).
fof(f1558,definition,
( spl17_20
<=> u(e,s(e)) = s(u(e,s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition]) ).
fof(f1559,plain,
( u(e,s(e)) = s(u(e,s(e)))
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f1587,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl17_20 ),
inference(superposition,[],[f172,f1559]) ).
fof(f1622,plain,
( mem(u(e,s(e)),s(e))
| mem(u(e,s(e)),e)
| ~ spl17_20 ),
inference(resolution,[],[f1587,f95]) ).
fof(f1625,plain,
( mem(u(e,s(e)),s(e))
| ~ spl17_20 ),
inference(forward_subsumption_resolution,[],[f1622,f91]) ).
fof(f1627,plain,
( e = u(e,s(e))
| ~ spl17_20 ),
inference(resolution,[],[f1625,f93]) ).
fof(f1651,plain,
( mem(e,e)
| ~ spl17_20 ),
inference(superposition,[],[f1587,f1627]) ).
fof(f1670,plain,
( $false
| ~ spl17_20 ),
inference(forward_subsumption_resolution,[],[f1651,f91]) ).
fof(f1671,plain,
~ spl17_20,
inference(avatar_contradiction_clause,[],[f1670]) ).
fof(f1741,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl17_14 ),
inference(resolution,[],[f1555,f93]) ).
fof(f1751,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(e,s(e)) = X0 )
| ~ spl17_14 ),
inference(resolution,[],[f1741,f96]) ).
fof(f1768,plain,
( e = u(e,s(e))
| ~ spl17_14 ),
inference(resolution,[],[f1751,f172]) ).
fof(f1811,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(e)) )
| ~ spl17_14 ),
inference(superposition,[],[f96,f1768]) ).
fof(f1825,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl17_14 ),
inference(forward_subsumption_resolution,[],[f1811,f91]) ).
fof(f1844,plain,
( $false
| ~ spl17_14 ),
inference(unit_resulting_resolution,[],[f1825,f172]) ).
fof(f1863,plain,
~ spl17_14,
inference(avatar_contradiction_clause,[],[f1844]) ).
fof(f1897,plain,
( mem(s(u(e,s(e))),s(e))
| mem(s(u(e,s(e))),e)
| ~ spl17_12 ),
inference(resolution,[],[f1092,f95]) ).
fof(f1899,plain,
( mem(s(u(e,s(e))),s(e))
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f1897,f91]) ).
fof(f1901,plain,
( e = s(u(e,s(e)))
| ~ spl17_12 ),
inference(resolution,[],[f1899,f93]) ).
fof(f1922,plain,
( mem(u(e,s(e)),e)
| ~ spl17_12 ),
inference(superposition,[],[f172,f1901]) ).
fof(f1942,plain,
( $false
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f1922,f91]) ).
fof(f1943,plain,
~ spl17_12,
inference(avatar_contradiction_clause,[],[f1942]) ).
fof(f1979,plain,
( u(e,s(e)) = s(u(e,s(e)))
| ~ spl17_13 ),
inference(resolution,[],[f1095,f93]) ).
fof(f1981,plain,
( spl17_20
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f1979,f1094,f1558]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f470]) ).
cnf(s3,plain,
( ~ spl17_2
| spl17_3
| spl17_4 ),
inference(sat_conversion,[],[f492]) ).
cnf(s10,plain,
~ spl17_3,
inference(sat_conversion,[],[f1019]) ).
cnf(s12,plain,
( ~ spl17_4
| spl17_7
| spl17_12
| spl17_13 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s14,plain,
~ spl17_7,
inference(sat_conversion,[],[f1308]) ).
cnf(s16,plain,
( ~ spl17_1
| spl17_14
| spl17_15 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s18,plain,
( spl17_7
| spl17_12
| spl17_13
| ~ spl17_15 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s22,plain,
~ spl17_20,
inference(sat_conversion,[],[f1671]) ).
cnf(s25,plain,
~ spl17_14,
inference(sat_conversion,[],[f1863]) ).
cnf(s26,plain,
~ spl17_12,
inference(sat_conversion,[],[f1943]) ).
cnf(s27,plain,
( ~ spl17_13
| spl17_20 ),
inference(sat_conversion,[],[f1981]) ).
cnf(s28,plain,
~ spl17_13,
inference(rat,[],[s27,s22]) ).
cnf(s29,plain,
( spl17_7
| ~ spl17_15 ),
inference(rat,[],[s18,s28,s26]) ).
cnf(s30,plain,
( ~ spl17_1
| spl17_15 ),
inference(rat,[],[s16,s25]) ).
cnf(s32,plain,
~ spl17_15,
inference(rat,[],[s29,s14]) ).
cnf(s33,plain,
~ spl17_1,
inference(rat,[],[s30,s32]) ).
cnf(s34,plain,
~ spl17_4,
inference(rat,[],[s12,s28,s26,s14]) ).
cnf(s35,plain,
~ spl17_2,
inference(rat,[],[s3,s34,s10]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s1,s35,s33]) ).
fof(f1982,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV555+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 06:36:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.36/1.65 % (3208419)Detected formulas, will run a generic FOF schedule.
% 6.36/1.65 % (3208429)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=493264753:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.36/1.65 % (3208430)dis-21_1_sil=8000:lcm=predicate:random_seed=338941647: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)
% 6.36/1.65 % (3208428)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1779163927:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.36/1.65 % (3208425)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=1546657563:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.36/1.65 % (3208427)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1197607185:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.36/1.65 % (3208424)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=2558224604:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.36/1.65 % (3208426)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=368682633:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.36/1.65 % (3208427)Refutation not found, incomplete strategy
% 6.36/1.65 % (3208427)------------------------------
% 6.36/1.65 % (3208427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208427)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208427)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.65 % (3208427)Time elapsed: 0.001 s
% 6.36/1.65 % (3208427)Peak memory usage: 88 MB
% 6.36/1.65 % (3208427)Instructions burned: 1 (million)
% 6.36/1.65 % (3208429)Instruction limit reached!
% 6.36/1.65 % (3208429)------------------------------
% 6.36/1.65 % (3208429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208429)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208429)Termination reason: Instruction limit
% 6.36/1.65 % (3208429)Termination phase: Saturation
% 6.36/1.65 % (3208429)Time elapsed: 0.047 s
% 6.36/1.65 % (3208429)Peak memory usage: 89 MB
% 6.36/1.65 % (3208429)Instructions burned: 142 (million)
% 6.36/1.65 % (3208430)Instruction limit reached!
% 6.36/1.65 % (3208430)------------------------------
% 6.36/1.65 % (3208430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208430)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208430)Termination reason: Instruction limit
% 6.36/1.65 % (3208430)Termination phase: Saturation
% 6.36/1.65 % (3208430)Time elapsed: 0.065 s
% 6.36/1.65 % (3208430)Peak memory usage: 88 MB
% 6.36/1.65 % (3208430)Instructions burned: 131 (million)
% 6.36/1.65 % (3208428)Instruction limit reached!
% 6.36/1.65 % (3208428)------------------------------
% 6.36/1.65 % (3208428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208428)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208428)Termination reason: Instruction limit
% 6.36/1.65 % (3208428)Termination phase: Saturation
% 6.36/1.65 % (3208428)Time elapsed: 0.077 s
% 6.36/1.65 % (3208428)Peak memory usage: 89 MB
% 6.36/1.65 % (3208428)Instructions burned: 120 (million)
% 6.36/1.65 % (3208438)lrs+10_1_sil=8000:sp=occurrence:random_seed=2161882531:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.36/1.65 % (3208439)lrs+10_1_sil=32000:urr=on:br=off:random_seed=709468101:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.36/1.65 % (3208427)------------------------------
% 6.36/1.65 % (3208427)------------------------------
% 6.36/1.65 % (3208440)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4162215678:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.36/1.65 % (3208440)Refutation not found, incomplete strategy
% 6.36/1.65 % (3208440)------------------------------
% 6.36/1.65 % (3208440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208440)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208440)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.65 % (3208440)Time elapsed: 0.004 s
% 6.36/1.65 % (3208440)Peak memory usage: 88 MB
% 6.36/1.65 % (3208440)Instructions burned: 4 (million)
% 6.36/1.65 % (3208438)Instruction limit reached!
% 6.36/1.65 % (3208438)------------------------------
% 6.36/1.65 % (3208438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208438)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208438)Termination reason: Instruction limit
% 6.36/1.65 % (3208438)Termination phase: Saturation
% 6.36/1.65 % (3208438)Time elapsed: 0.098 s
% 6.36/1.65 % (3208438)Peak memory usage: 92 MB
% 6.36/1.65 % (3208438)Instructions burned: 288 (million)
% 6.36/1.65 % (3208439)Instruction limit reached!
% 6.36/1.65 % (3208439)------------------------------
% 6.36/1.65 % (3208439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208439)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208439)Termination reason: Instruction limit
% 6.36/1.65 % (3208439)Termination phase: Saturation
% 6.36/1.65 % (3208439)Time elapsed: 0.083 s
% 6.36/1.65 % (3208439)Peak memory usage: 90 MB
% 6.36/1.65 % (3208439)Instructions burned: 157 (million)
% 6.36/1.65 % (3208445)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1309270894:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.36/1.65 % (3208445)Refutation not found, incomplete strategy
% 6.36/1.65 % (3208445)------------------------------
% 6.36/1.65 % (3208445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208445)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208445)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.65 % (3208445)Time elapsed: 0.001 s
% 6.36/1.65 % (3208445)Peak memory usage: 88 MB
% 6.36/1.65 % (3208445)Instructions burned: 1 (million)
% 6.36/1.65 % (3208444)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=2579271605:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.36/1.65 % (3208446)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1324795083:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.36/1.65 % (3208440)------------------------------
% 6.36/1.65 % (3208440)------------------------------
% 6.36/1.65 % (3208444)Instruction limit reached!
% 6.36/1.65 % (3208444)------------------------------
% 6.36/1.65 % (3208444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208444)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208444)Termination reason: Instruction limit
% 6.36/1.65 % (3208444)Termination phase: Saturation
% 6.36/1.65 % (3208444)Time elapsed: 0.145 s
% 6.36/1.65 % (3208444)Peak memory usage: 92 MB
% 6.36/1.65 % (3208444)Instructions burned: 249 (million)
% 6.36/1.65 % (3208445)------------------------------
% 6.36/1.65 % (3208445)------------------------------
% 6.36/1.65 % (3208450)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=549620952:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.36/1.65 % (3208451)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2469602087:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.36/1.65 % (3208452)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3368888796:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.36/1.65 % (3208450)Instruction limit reached!
% 6.36/1.65 % (3208450)------------------------------
% 6.36/1.65 % (3208450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208450)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208450)Termination reason: Instruction limit
% 6.36/1.65 % (3208450)Termination phase: Saturation
% 6.36/1.65 % (3208450)Time elapsed: 0.064 s
% 6.36/1.65 % (3208450)Peak memory usage: 89 MB
% 6.36/1.65 % (3208450)Instructions burned: 114 (million)
% 6.36/1.65 % (3208425)First to succeed.
% 6.36/1.65 % (3208425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3208419"
% 6.36/1.65 % (3208451)Instruction limit reached!
% 6.36/1.65 % (3208451)------------------------------
% 6.36/1.65 % (3208451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208451)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208451)Termination reason: Instruction limit
% 6.36/1.65 % (3208451)Termination phase: Saturation
% 6.36/1.65 % (3208451)Time elapsed: 0.058 s
% 6.36/1.65 % (3208451)Peak memory usage: 88 MB
% 6.36/1.65 % (3208451)Instructions burned: 128 (million)
% 6.36/1.65 % (3208452)Instruction limit reached!
% 6.36/1.65 % (3208452)------------------------------
% 6.36/1.65 % (3208452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/1.65 % (3208452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.65 % (3208452)CaDiCaL version: 2.1.3
% 6.36/1.65 % (3208452)Termination reason: Instruction limit
% 6.36/1.65 % (3208452)Termination phase: Saturation
% 6.36/1.65 % (3208452)Time elapsed: 0.054 s
% 6.36/1.65 % (3208452)Peak memory usage: 88 MB
% 6.36/1.65 % (3208452)Instructions burned: 116 (million)
% 6.36/1.65 % (3208424)Also succeeded, but the first one will report.
% 6.36/1.65 % (3208456)lrs+10_1_sil=8000:sp=occurrence:random_seed=2960850114:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.36/1.65 % (3208425)Refutation found. Thanks to Tanya!
% 6.36/1.65 % SZS status Theorem for theBenchmark
% 6.36/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 7.80/1.84 % (3208425)------------------------------
% 7.80/1.84 % (3208425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.84 % (3208425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.84 % (3208425)CaDiCaL version: 2.1.3
% 7.80/1.84 % (3208425)Termination reason: Refutation
% 7.80/1.84 % (3208425)Time elapsed: 0.732 s
% 7.80/1.84 % (3208425)Peak memory usage: 132 MB
% 7.80/1.84 % (3208425)Instructions burned: 1358 (million)
% 7.80/1.84 % (3208425)------------------------------
% 7.80/1.84 % (3208425)------------------------------
% 7.80/1.84 % (3208419)Success in time 1.051 s
% 7.80/1.84 % Vampire exiting
%------------------------------------------------------------------------------