%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV575+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 : n007.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 11.18s 2.42s
% Output : Refutation 11.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 30
% Syntax : Number of formulae : 251 ( 37 unt; 20 def)
% Number of atoms : 602 ( 80 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 640 ( 289 ~; 305 |; 17 &)
% ( 26 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 163 !; 2 ?)
% 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(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
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,
subq(a(s(a(n(e),n(n(e)))),a(s(n(e)),n(n(e)))),u(a(p(p(s(n(e)))),n(s(n(e)))),m(p(n(n(n(e)))),s(n(n(n(e))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_1536_1919) ).
fof(f27,negated_conjecture,
~ subq(a(s(a(n(e),n(n(e)))),a(s(n(e)),n(n(e)))),u(a(p(p(s(n(e)))),n(s(n(e)))),m(p(n(n(n(e)))),s(n(n(n(e))))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ subq(a(s(a(n(e),n(n(e)))),a(s(n(e)),n(n(e)))),u(a(p(p(s(n(e)))),n(s(n(e)))),m(p(n(n(n(e)))),s(n(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(f31,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f31]) ).
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,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(f37,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,[],[f36]) ).
fof(f41,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,
~ subq(a(s(a(n(e),n(n(e)))),a(s(n(e)),n(n(e)))),u(a(p(p(s(n(e)))),n(s(n(e)))),m(p(n(n(n(e)))),s(n(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(f100,plain,
! [X2,X0,X1] :
( ~ mem(X0,X1)
| mem(X0,m(X1,X2))
| mem(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f101,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
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(f113,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f170,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f101,f92]) ).
fof(f171,plain,
~ subq(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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)))))))))),
inference(definition_unfolding,[],[f90,f92,f92,f170,f170,f170,f92,f170,f170,f170,f92,f170,f170,f170,f170,f170,f170,f170,f170,f170]) ).
fof(f172,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f94]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ mem(sK2(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f96,f112]) ).
fof(f179,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f178,f111]) ).
fof(f181,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f179]) ).
fof(f182,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f91,f111]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ~ mem(sK2(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f97,f112]) ).
fof(f194,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(resolution,[],[f192,f111]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( ~ mem(sK2(X0,u(u(X1,X2),X3)),X1)
| subq(X0,u(u(X1,X2),X3)) ),
inference(resolution,[],[f192,f97]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ mem(sK2(X0,u(u(X1,X2),X3)),X2)
| subq(X0,u(u(X1,X2),X3)) ),
inference(resolution,[],[f192,f96]) ).
fof(f199,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f264,plain,
! [X2,X0,X1] :
( mem(sK2(u(X0,X1),X2),X1)
| mem(sK2(u(X0,X1),X2),X0)
| subq(u(X0,X1),X2) ),
inference(resolution,[],[f95,f111]) ).
fof(f267,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X1),X0)
| subq(u(X0,X1),X1)
| subq(u(X0,X1),X1) ),
inference(resolution,[],[f264,f112]) ).
fof(f273,plain,
! [X2,X0,X1] :
( mem(sK2(u(X0,s(X1)),X2),X0)
| subq(u(X0,s(X1)),X2)
| sK2(u(X0,s(X1)),X2) = X1 ),
inference(resolution,[],[f264,f93]) ).
fof(f278,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X0),X1)
| subq(u(X0,X1),X0)
| subq(u(X0,X1),X0) ),
inference(resolution,[],[f264,f112]) ).
fof(f293,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X0),X1)
| subq(u(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f297,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X1),X0)
| subq(u(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f267]) ).
fof(f298,plain,
! [X0,X1] :
( subq(u(X0,s(X1)),X0)
| sK2(u(X0,s(X1)),X0) = X1
| subq(u(X0,s(X1)),X0) ),
inference(resolution,[],[f273,f112]) ).
fof(f304,plain,
! [X2,X0,X1] :
( subq(u(s(X0),s(X1)),X2)
| sK2(u(s(X0),s(X1)),X2) = X1
| sK2(u(s(X0),s(X1)),X2) = X0 ),
inference(resolution,[],[f273,f93]) ).
fof(f312,plain,
! [X0,X1] :
( subq(u(X0,s(X1)),X0)
| sK2(u(X0,s(X1)),X0) = X1 ),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f314,plain,
( u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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)))))))))) ),
inference(resolution,[],[f304,f171]) ).
fof(f317,definition,
( spl17_1
<=> u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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)))))))))) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f318,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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))))))))))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,definition,
( spl17_2
<=> u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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)))))))))) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f321,plain,
( u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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))))))))))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f322,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f314,f320,f317]) ).
fof(f326,plain,
( ~ mem(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| subq(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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))))))))))
| ~ spl17_2 ),
inference(superposition,[],[f192,f321]) ).
fof(f327,plain,
( ~ mem(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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)))))))))
| subq(u(s(u(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(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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))))))))))
| ~ spl17_2 ),
inference(superposition,[],[f178,f321]) ).
fof(f334,plain,
( ~ mem(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),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)))))))))
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f327,f171]) ).
fof(f335,plain,
( ~ mem(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(p(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f326,f171]) ).
fof(f341,plain,
( ~ mem(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(p(s(u(e,s(e))))))
| ~ spl17_2 ),
inference(resolution,[],[f335,f97]) ).
fof(f345,plain,
! [X2,X0,X1] :
( subq(X0,u(u(X0,X1),X2))
| subq(X0,u(u(X0,X1),X2)) ),
inference(resolution,[],[f196,f111]) ).
fof(f361,plain,
! [X2,X0,X1] : subq(X0,u(u(X0,X1),X2)),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f421,plain,
! [X2,X0,X1] :
( mem(X0,m(p(X1),X2))
| ~ subq(X0,X1)
| mem(X0,X2) ),
inference(resolution,[],[f106,f100]) ).
fof(f422,plain,
! [X0,X1] :
( ~ subq(sK2(X0,p(X1)),X1)
| subq(X0,p(X1)) ),
inference(resolution,[],[f106,f112]) ).
fof(f428,plain,
( ~ subq(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),p(s(u(e,s(e)))))
| ~ spl17_2 ),
inference(resolution,[],[f106,f341]) ).
fof(f619,plain,
! [X0] : subq(u(X0,e),X0),
inference(resolution,[],[f293,f91]) ).
fof(f642,plain,
! [X0] : subq(u(e,X0),X0),
inference(resolution,[],[f297,f91]) ).
fof(f715,plain,
! [X0,X1] :
( ~ subq(u(X0,X1),X0)
| u(X0,X1) = X0 ),
inference(resolution,[],[f113,f199]) ).
fof(f725,plain,
! [X0] :
( ~ subq(X0,u(e,X0))
| u(e,X0) = X0 ),
inference(resolution,[],[f113,f642]) ).
fof(f728,plain,
! [X0] :
( ~ subq(X0,u(X0,e))
| u(X0,e) = X0 ),
inference(resolution,[],[f113,f619]) ).
fof(f729,plain,
! [X0,X1] :
( ~ subq(X0,u(X0,s(X1)))
| u(X0,s(X1)) = X0
| sK2(u(X0,s(X1)),X0) = X1 ),
inference(resolution,[],[f113,f312]) ).
fof(f750,plain,
! [X0,X1] :
( sK2(u(X0,s(X1)),X0) = X1
| u(X0,s(X1)) = X0 ),
inference(forward_subsumption_resolution,[],[f729,f199]) ).
fof(f751,plain,
! [X0] : u(X0,e) = X0,
inference(forward_subsumption_resolution,[],[f728,f199]) ).
fof(f753,plain,
! [X0] : u(e,X0) = X0,
inference(forward_subsumption_resolution,[],[f725,f181]) ).
fof(f789,plain,
~ subq(u(s(u(s(e),s(u(s(e),s(s(e)))))),s(u(s(s(e)),s(u(s(e),s(s(e))))))),u(u(p(p(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))),
inference(superposition,[],[f171,f753]) ).
fof(f798,plain,
( ~ subq(u(s(s(e)),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_2 ),
inference(superposition,[],[f428,f753]) ).
fof(f912,plain,
! [X0,X1] :
( ~ mem(X0,X1)
| subq(u(X1,s(X0)),X1)
| u(X1,s(X0)) = X1 ),
inference(superposition,[],[f112,f750]) ).
fof(f931,plain,
! [X0,X1] :
( ~ mem(X0,X1)
| u(X1,s(X0)) = X1 ),
inference(forward_subsumption_resolution,[],[f912,f715]) ).
fof(f1542,plain,
( ~ subq(u(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)))))))
| mem(u(s(u(e,s(e))),s(u(u(e,s(e)),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))))))))
| ~ spl17_2 ),
inference(resolution,[],[f421,f334]) ).
fof(f1557,plain,
( ~ subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| mem(u(s(u(e,s(e))),s(u(u(e,s(e)),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))))))))
| ~ spl17_2 ),
inference(forward_demodulation,[],[f1542,f753]) ).
fof(f1558,plain,
( mem(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| ~ subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_2 ),
inference(forward_demodulation,[],[f1557,f753]) ).
fof(f1560,definition,
( spl17_9
<=> subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f1561,plain,
( ~ subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| spl17_9 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1563,definition,
( spl17_10
<=> mem(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f1564,plain,
( mem(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1566,plain,
( u(s(e),s(s(e))) = sK2(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| s(e) = sK2(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| spl17_9 ),
inference(resolution,[],[f1561,f304]) ).
fof(f1570,definition,
( spl17_11
<=> s(e) = sK2(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f1571,plain,
( s(e) = sK2(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1573,definition,
( spl17_12
<=> u(s(e),s(s(e))) = sK2(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f1574,plain,
( u(s(e),s(s(e))) = sK2(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1575,plain,
( spl17_11
| spl17_12
| spl17_9 ),
inference(avatar_split_clause,[],[f1566,f1560,f1573,f1570]) ).
fof(f1576,plain,
( u(s(e),s(u(s(e),s(s(e))))) = sK2(u(s(u(s(e),s(u(s(e),s(s(e)))))),s(u(s(s(e)),s(u(s(e),s(s(e))))))),u(u(p(p(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))))
| ~ spl17_1 ),
inference(forward_demodulation,[],[f318,f753]) ).
fof(f1582,definition,
( spl17_13
<=> u(s(e),s(u(s(e),s(s(e))))) = sK2(u(s(u(s(e),s(u(s(e),s(s(e)))))),s(u(s(s(e)),s(u(s(e),s(s(e))))))),u(u(p(p(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f1583,plain,
( u(s(e),s(u(s(e),s(s(e))))) = sK2(u(s(u(s(e),s(u(s(e),s(s(e)))))),s(u(s(s(e)),s(u(s(e),s(s(e))))))),u(u(p(p(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))))
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1588,plain,
( spl17_13
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f1576,f317,f1582]) ).
fof(f1617,plain,
( ~ mem(u(s(e),s(u(s(e),s(s(e))))),p(p(s(s(e)))))
| subq(u(s(u(s(e),s(u(s(e),s(s(e)))))),s(u(s(s(e)),s(u(s(e),s(s(e))))))),u(u(p(p(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))))
| ~ spl17_13 ),
inference(superposition,[],[f196,f1583]) ).
fof(f1620,plain,
( ~ mem(u(s(e),s(u(s(e),s(s(e))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))
| subq(u(s(u(s(e),s(u(s(e),s(s(e)))))),s(u(s(s(e)),s(u(s(e),s(s(e))))))),u(u(p(p(s(s(e)))),s(u(s(s(e)),s(s(s(e)))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))))
| ~ spl17_13 ),
inference(superposition,[],[f178,f1583]) ).
fof(f1627,plain,
( ~ mem(u(s(e),s(u(s(e),s(s(e))))),m(p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))
| ~ spl17_13 ),
inference(forward_subsumption_resolution,[],[f1620,f789]) ).
fof(f1630,plain,
( ~ mem(u(s(e),s(u(s(e),s(s(e))))),p(p(s(s(e)))))
| ~ spl17_13 ),
inference(forward_subsumption_resolution,[],[f1617,f789]) ).
fof(f1634,plain,
( ~ subq(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_13 ),
inference(resolution,[],[f1630,f106]) ).
fof(f1639,plain,
( ~ subq(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| mem(u(s(e),s(u(s(e),s(s(e))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| ~ spl17_13 ),
inference(resolution,[],[f1627,f421]) ).
fof(f1642,definition,
( spl17_20
<=> mem(u(s(e),s(u(s(e),s(s(e))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_20])],[avatar_definition]) ).
fof(f1643,plain,
( mem(u(s(e),s(u(s(e),s(s(e))))),s(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1645,definition,
( spl17_21
<=> subq(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition]) ).
fof(f1646,plain,
( ~ subq(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| spl17_21 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f1648,plain,
( u(s(e),s(s(e))) = sK2(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| e = sK2(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| spl17_21 ),
inference(resolution,[],[f1646,f304]) ).
fof(f1652,definition,
( spl17_22
<=> e = sK2(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_22])],[avatar_definition]) ).
fof(f1653,plain,
( e = sK2(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1655,definition,
( spl17_23
<=> u(s(e),s(s(e))) = sK2(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_23])],[avatar_definition]) ).
fof(f1656,plain,
( u(s(e),s(s(e))) = sK2(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1657,plain,
( spl17_22
| spl17_23
| spl17_21 ),
inference(avatar_split_clause,[],[f1648,f1645,f1655,f1652]) ).
fof(f1708,plain,
( u(s(s(e)),s(u(s(e),s(s(e))))) = u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))
| ~ spl17_10 ),
inference(resolution,[],[f1564,f93]) ).
fof(f1725,plain,
( ! [X0] :
( mem(X0,u(s(s(e)),s(u(s(e),s(s(e))))))
| ~ mem(X0,u(s(e),s(s(e)))) )
| ~ spl17_10 ),
inference(superposition,[],[f97,f1708]) ).
fof(f1739,plain,
( mem(sK2(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(s(e),s(s(e))))),u(s(e),s(s(e))))
| subq(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(s(e),s(s(e)))))
| ~ spl17_10 ),
inference(superposition,[],[f297,f1708]) ).
fof(f1762,definition,
( spl17_24
<=> subq(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(s(e),s(s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_24])],[avatar_definition]) ).
fof(f1763,plain,
( subq(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(s(e),s(s(e)))))
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1765,definition,
( spl17_25
<=> mem(sK2(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(s(e),s(s(e))))),u(s(e),s(s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_25])],[avatar_definition]) ).
fof(f1766,plain,
( mem(sK2(u(s(s(e)),s(u(s(e),s(s(e))))),s(u(s(e),s(s(e))))),u(s(e),s(s(e))))
| ~ spl17_25 ),
inference(avatar_component_clause,[],[f1765]) ).
fof(f1767,plain,
( spl17_24
| spl17_25
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f1739,f1563,f1765,f1762]) ).
fof(f1775,plain,
( ! [X0] :
( mem(X0,s(u(s(e),s(s(e)))))
| ~ mem(X0,u(s(e),s(s(e))))
| mem(X0,s(s(e))) )
| ~ spl17_10 ),
inference(resolution,[],[f1725,f95]) ).
fof(f1819,plain,
( ! [X0] :
( ~ mem(X0,u(s(e),s(s(e))))
| mem(X0,s(s(e)))
| u(s(e),s(s(e))) = X0 )
| ~ spl17_10 ),
inference(resolution,[],[f1775,f93]) ).
fof(f1835,plain,
( ! [X0] :
( mem(X0,s(s(e)))
| u(s(e),s(s(e))) = X0
| ~ mem(X0,s(e)) )
| ~ spl17_10 ),
inference(resolution,[],[f1819,f97]) ).
fof(f1900,plain,
( spl17_20
| ~ spl17_21
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f1639,f1582,f1645,f1642]) ).
fof(f2114,plain,
( u(s(e),s(u(s(e),s(s(e))))) = u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))
| ~ spl17_20 ),
inference(resolution,[],[f1643,f93]) ).
fof(f2133,plain,
( ! [X0] :
( mem(X0,u(s(e),s(u(s(e),s(s(e))))))
| ~ mem(X0,u(s(e),s(s(e)))) )
| ~ spl17_20 ),
inference(superposition,[],[f97,f2114]) ).
fof(f2204,plain,
( u(s(e),s(s(e))) = sK2(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| e = sK2(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_13 ),
inference(resolution,[],[f1634,f304]) ).
fof(f2216,definition,
( spl17_51
<=> e = sK2(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_51])],[avatar_definition]) ).
fof(f2217,plain,
( e = sK2(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_51 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f2219,definition,
( spl17_52
<=> u(s(e),s(s(e))) = sK2(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_52])],[avatar_definition]) ).
fof(f2220,plain,
( u(s(e),s(s(e))) = sK2(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_52 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2351,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(s(e),s(s(e))) = X0
| s(e) = X0 )
| ~ spl17_10 ),
inference(resolution,[],[f1835,f93]) ).
fof(f2367,plain,
( e = u(s(e),s(s(e)))
| e = s(e)
| ~ spl17_10 ),
inference(resolution,[],[f2351,f172]) ).
fof(f2385,definition,
( spl17_55
<=> e = s(e) ),
introduced(definition,[new_symbols(definition,[spl17_55])],[avatar_definition]) ).
fof(f2386,plain,
( e = s(e)
| ~ spl17_55 ),
inference(avatar_component_clause,[],[f2385]) ).
fof(f2388,definition,
( spl17_56
<=> e = u(s(e),s(s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_56])],[avatar_definition]) ).
fof(f2389,plain,
( e = u(s(e),s(s(e)))
| ~ spl17_56 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f2422,plain,
( ~ mem(s(e),s(s(e)))
| subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_11 ),
inference(superposition,[],[f197,f1571]) ).
fof(f2431,plain,
( subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f2422,f172]) ).
fof(f2433,plain,
( $false
| spl17_9
| ~ spl17_11 ),
inference(forward_subsumption_resolution,[],[f2431,f1561]) ).
fof(f2434,plain,
( spl17_9
| ~ spl17_11 ),
inference(avatar_contradiction_clause,[],[f2433]) ).
fof(f2442,plain,
( ~ mem(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))
| subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_12 ),
inference(superposition,[],[f178,f1574]) ).
fof(f2449,plain,
( subq(u(s(s(e)),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f2442,f172]) ).
fof(f2453,plain,
( $false
| spl17_9
| ~ spl17_12 ),
inference(forward_subsumption_resolution,[],[f2449,f1561]) ).
fof(f2454,plain,
( spl17_9
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f2453]) ).
fof(f2489,plain,
( ! [X0] : subq(s(e),u(e,X0))
| ~ spl17_56 ),
inference(superposition,[],[f361,f2389]) ).
fof(f2508,plain,
( ! [X0] : subq(s(e),X0)
| ~ spl17_56 ),
inference(forward_demodulation,[],[f2489,f753]) ).
fof(f2545,plain,
( spl17_51
| spl17_52
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f2204,f1582,f2219,f2216]) ).
fof(f3038,definition,
( spl17_63
<=> s(e) = u(s(e),s(s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_63])],[avatar_definition]) ).
fof(f3039,plain,
( s(e) = u(s(e),s(s(e)))
| ~ spl17_63 ),
inference(avatar_component_clause,[],[f3038]) ).
fof(f3046,definition,
( spl17_64
<=> mem(s(e),s(e)) ),
introduced(definition,[new_symbols(definition,[spl17_64])],[avatar_definition]) ).
fof(f3047,plain,
( mem(s(e),s(e))
| ~ spl17_64 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f3123,plain,
( ~ subq(e,s(s(e)))
| subq(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_51 ),
inference(superposition,[],[f422,f2217]) ).
fof(f3130,plain,
( subq(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_51 ),
inference(forward_subsumption_resolution,[],[f3123,f182]) ).
fof(f3131,plain,
( $false
| ~ spl17_13
| ~ spl17_51 ),
inference(forward_subsumption_resolution,[],[f3130,f1634]) ).
fof(f3132,plain,
( ~ spl17_13
| ~ spl17_51 ),
inference(avatar_contradiction_clause,[],[f3131]) ).
fof(f3139,plain,
( mem(u(s(e),s(s(e))),u(s(e),s(u(s(e),s(s(e))))))
| subq(u(s(e),s(u(s(e),s(s(e))))),p(s(s(e))))
| ~ spl17_52 ),
inference(superposition,[],[f111,f2220]) ).
fof(f3140,plain,
( mem(u(s(e),s(s(e))),u(s(e),s(u(s(e),s(s(e))))))
| ~ spl17_13
| ~ spl17_52 ),
inference(forward_subsumption_resolution,[],[f3139,f1634]) ).
fof(f3202,plain,
( ~ subq(s(u(s(e),s(s(e)))),u(s(s(e)),s(u(s(e),s(s(e))))))
| s(u(s(e),s(s(e)))) = u(s(s(e)),s(u(s(e),s(s(e)))))
| ~ spl17_24 ),
inference(resolution,[],[f1763,f113]) ).
fof(f3204,plain,
( s(u(s(e),s(s(e)))) = u(s(s(e)),s(u(s(e),s(s(e)))))
| ~ spl17_24 ),
inference(forward_subsumption_resolution,[],[f3202,f181]) ).
fof(f3209,definition,
( spl17_76
<=> s(u(s(e),s(s(e)))) = u(s(s(e)),s(u(s(e),s(s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_76])],[avatar_definition]) ).
fof(f3210,plain,
( s(u(s(e),s(s(e)))) = u(s(s(e)),s(u(s(e),s(s(e)))))
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f3212,plain,
( spl17_76
| ~ spl17_24 ),
inference(avatar_split_clause,[],[f3204,f1762,f3209]) ).
fof(f3217,plain,
( ~ mem(e,s(e))
| subq(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_22 ),
inference(superposition,[],[f196,f1653]) ).
fof(f3229,plain,
( subq(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_22 ),
inference(forward_subsumption_resolution,[],[f3217,f172]) ).
fof(f3232,plain,
( $false
| spl17_21
| ~ spl17_22 ),
inference(forward_subsumption_resolution,[],[f3229,f1646]) ).
fof(f3233,plain,
( spl17_21
| ~ spl17_22 ),
inference(avatar_contradiction_clause,[],[f3232]) ).
fof(f3241,plain,
( ~ mem(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))
| subq(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_23 ),
inference(superposition,[],[f178,f1656]) ).
fof(f3246,plain,
( subq(u(s(e),s(u(s(e),s(s(e))))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_23 ),
inference(forward_subsumption_resolution,[],[f3241,f172]) ).
fof(f3250,plain,
( $false
| spl17_21
| ~ spl17_23 ),
inference(forward_subsumption_resolution,[],[f3246,f1646]) ).
fof(f3251,plain,
( spl17_21
| ~ spl17_23 ),
inference(avatar_contradiction_clause,[],[f3250]) ).
fof(f3359,plain,
( ! [X0] :
( mem(X0,s(u(s(e),s(s(e)))))
| ~ mem(X0,u(s(e),s(s(e))))
| mem(X0,s(e)) )
| ~ spl17_20 ),
inference(resolution,[],[f2133,f95]) ).
fof(f3408,plain,
( ! [X0] :
( ~ mem(X0,u(s(e),s(s(e))))
| mem(X0,s(e))
| u(s(e),s(s(e))) = X0 )
| ~ spl17_20 ),
inference(resolution,[],[f3359,f93]) ).
fof(f3425,plain,
( ! [X0] :
( ~ mem(X0,s(s(e)))
| u(s(e),s(s(e))) = X0
| mem(X0,s(e)) )
| ~ spl17_20 ),
inference(resolution,[],[f3408,f96]) ).
fof(f3446,plain,
( s(e) = u(s(e),s(s(e)))
| mem(s(e),s(e))
| ~ spl17_20 ),
inference(resolution,[],[f3425,f172]) ).
fof(f3557,plain,
( mem(s(e),u(s(e),s(s(e))))
| ~ spl17_13
| ~ spl17_52
| ~ spl17_63 ),
inference(superposition,[],[f3140,f3039]) ).
fof(f3634,plain,
( mem(s(e),s(e))
| ~ spl17_13
| ~ spl17_52
| ~ spl17_63 ),
inference(forward_demodulation,[],[f3557,f3039]) ).
fof(f3650,plain,
( spl17_64
| ~ spl17_13
| ~ spl17_52
| ~ spl17_63 ),
inference(avatar_split_clause,[],[f3634,f3038,f2219,f1582,f3046]) ).
fof(f3663,plain,
( ~ subq(s(u(s(e),s(s(e)))),p(s(s(e))))
| ~ spl17_2
| ~ spl17_76 ),
inference(forward_demodulation,[],[f798,f3210]) ).
fof(f4533,plain,
( ~ subq(u(s(e),s(u(e,s(e)))),p(s(e)))
| ~ spl17_2
| ~ spl17_55 ),
inference(forward_demodulation,[],[f798,f2386]) ).
fof(f4637,plain,
( ~ subq(u(e,s(u(e,e))),p(e))
| ~ spl17_2
| ~ spl17_55 ),
inference(forward_demodulation,[],[f4533,f2386]) ).
fof(f4706,plain,
( ~ subq(s(u(e,e)),p(e))
| ~ spl17_2
| ~ spl17_55 ),
inference(forward_demodulation,[],[f4637,f753]) ).
fof(f4766,plain,
( ~ subq(s(e),p(e))
| ~ spl17_2
| ~ spl17_55 ),
inference(forward_demodulation,[],[f4706,f751]) ).
fof(f4818,plain,
( ~ subq(e,p(e))
| ~ spl17_2
| ~ spl17_55 ),
inference(forward_demodulation,[],[f4766,f2386]) ).
fof(f4860,plain,
( $false
| ~ spl17_2
| ~ spl17_55 ),
inference(forward_subsumption_resolution,[],[f4818,f182]) ).
fof(f4861,plain,
( ~ spl17_2
| ~ spl17_55 ),
inference(avatar_contradiction_clause,[],[f4860]) ).
fof(f5503,plain,
( e = s(e)
| ~ spl17_64 ),
inference(resolution,[],[f3047,f93]) ).
fof(f5506,plain,
( spl17_55
| ~ spl17_64 ),
inference(avatar_split_clause,[],[f5503,f3046,f2385]) ).
fof(f5523,plain,
( s(e) = u(s(e),s(s(e)))
| ~ spl17_20 ),
inference(forward_subsumption_resolution,[],[f3446,f931]) ).
fof(f5579,plain,
( ~ subq(u(e,s(u(e,s(e)))),p(s(e)))
| ~ spl17_13
| ~ spl17_55 ),
inference(forward_demodulation,[],[f1634,f2386]) ).
fof(f5688,plain,
( ~ subq(u(e,s(u(e,e))),p(e))
| ~ spl17_13
| ~ spl17_55 ),
inference(forward_demodulation,[],[f5579,f2386]) ).
fof(f5794,plain,
( ~ subq(s(u(e,e)),p(e))
| ~ spl17_13
| ~ spl17_55 ),
inference(forward_demodulation,[],[f5688,f753]) ).
fof(f5878,plain,
( ~ subq(s(e),p(e))
| ~ spl17_13
| ~ spl17_55 ),
inference(forward_demodulation,[],[f5794,f751]) ).
fof(f5953,plain,
( ~ subq(e,p(e))
| ~ spl17_13
| ~ spl17_55 ),
inference(forward_demodulation,[],[f5878,f2386]) ).
fof(f6015,plain,
( $false
| ~ spl17_13
| ~ spl17_55 ),
inference(forward_subsumption_resolution,[],[f5953,f182]) ).
fof(f6016,plain,
( ~ spl17_13
| ~ spl17_55 ),
inference(avatar_contradiction_clause,[],[f6015]) ).
fof(f6247,plain,
( ~ spl17_9
| spl17_10
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f1558,f320,f1563,f1560]) ).
fof(f6249,plain,
( spl17_55
| spl17_56
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f2367,f1563,f2388,f2385]) ).
fof(f6251,plain,
( mem(sK2(u(s(s(e)),s(e)),s(e)),e)
| ~ spl17_25
| ~ spl17_56 ),
inference(forward_demodulation,[],[f1766,f2389]) ).
fof(f6258,plain,
( $false
| ~ spl17_25
| ~ spl17_56 ),
inference(forward_subsumption_resolution,[],[f6251,f91]) ).
fof(f6259,plain,
( ~ spl17_25
| ~ spl17_56 ),
inference(avatar_contradiction_clause,[],[f6258]) ).
fof(f6273,plain,
( ~ subq(s(e),p(s(s(e))))
| ~ spl17_2
| ~ spl17_56
| ~ spl17_76 ),
inference(forward_demodulation,[],[f3663,f2389]) ).
fof(f6301,plain,
( $false
| ~ spl17_2
| ~ spl17_56
| ~ spl17_76 ),
inference(forward_subsumption_resolution,[],[f6273,f2508]) ).
fof(f6302,plain,
( ~ spl17_2
| ~ spl17_56
| ~ spl17_76 ),
inference(avatar_contradiction_clause,[],[f6301]) ).
fof(f6585,plain,
( spl17_63
| ~ spl17_20 ),
inference(avatar_split_clause,[],[f5523,f1642,f3038]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f322]) ).
cnf(s6,plain,
( spl17_9
| spl17_11
| spl17_12 ),
inference(sat_conversion,[],[f1575]) ).
cnf(s8,plain,
( ~ spl17_1
| spl17_13 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s14,plain,
( spl17_21
| spl17_22
| spl17_23 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s28,plain,
( ~ spl17_10
| spl17_24
| spl17_25 ),
inference(sat_conversion,[],[f1767]) ).
cnf(s32,plain,
( ~ spl17_13
| spl17_20
| ~ spl17_21 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s57,plain,
( spl17_9
| ~ spl17_11 ),
inference(sat_conversion,[],[f2434]) ).
cnf(s58,plain,
( spl17_9
| ~ spl17_12 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s68,plain,
( ~ spl17_13
| spl17_51
| spl17_52 ),
inference(sat_conversion,[],[f2545]) ).
cnf(s90,plain,
( ~ spl17_13
| ~ spl17_51 ),
inference(sat_conversion,[],[f3132]) ).
cnf(s94,plain,
( ~ spl17_24
| spl17_76 ),
inference(sat_conversion,[],[f3212]) ).
cnf(s96,plain,
( spl17_21
| ~ spl17_22 ),
inference(sat_conversion,[],[f3233]) ).
cnf(s97,plain,
( spl17_21
| ~ spl17_23 ),
inference(sat_conversion,[],[f3251]) ).
cnf(s110,plain,
( ~ spl17_13
| ~ spl17_52
| ~ spl17_63
| spl17_64 ),
inference(sat_conversion,[],[f3650]) ).
cnf(s132,plain,
( ~ spl17_2
| ~ spl17_55 ),
inference(sat_conversion,[],[f4861]) ).
cnf(s148,plain,
( spl17_55
| ~ spl17_64 ),
inference(sat_conversion,[],[f5506]) ).
cnf(s156,plain,
( ~ spl17_13
| ~ spl17_55 ),
inference(sat_conversion,[],[f6016]) ).
cnf(s166,plain,
( ~ spl17_2
| ~ spl17_9
| spl17_10 ),
inference(sat_conversion,[],[f6247]) ).
cnf(s170,plain,
( ~ spl17_10
| spl17_55
| spl17_56 ),
inference(sat_conversion,[],[f6249]) ).
cnf(s173,plain,
( ~ spl17_25
| ~ spl17_56 ),
inference(sat_conversion,[],[f6259]) ).
cnf(s174,plain,
( ~ spl17_2
| ~ spl17_56
| ~ spl17_76 ),
inference(sat_conversion,[],[f6302]) ).
cnf(s187,plain,
( ~ spl17_20
| spl17_63 ),
inference(sat_conversion,[],[f6585]) ).
cnf(s188,plain,
spl17_9,
inference(rat,[],[s6,s57,s58]) ).
cnf(s189,plain,
~ spl17_2,
inference(rat,[],[s28,s94,s173,s174,s170,s166,s132,s188]) ).
cnf(s190,plain,
spl17_1,
inference(rat,[],[s1,s189]) ).
cnf(s191,plain,
spl17_13,
inference(rat,[],[s8,s190]) ).
cnf(s193,plain,
~ spl17_55,
inference(rat,[],[s156,s191]) ).
cnf(s194,plain,
~ spl17_51,
inference(rat,[],[s90,s191]) ).
cnf(s197,plain,
~ spl17_64,
inference(rat,[],[s148,s193]) ).
cnf(s198,plain,
spl17_52,
inference(rat,[],[s68,s191,s194]) ).
cnf(s199,plain,
~ spl17_63,
inference(rat,[],[s110,s197,s191,s198]) ).
cnf(s200,plain,
~ spl17_20,
inference(rat,[],[s187,s199]) ).
cnf(s201,plain,
~ spl17_21,
inference(rat,[],[s32,s191,s200]) ).
cnf(s202,plain,
~ spl17_23,
inference(rat,[],[s97,s201]) ).
cnf(s203,plain,
~ spl17_22,
inference(rat,[],[s96,s201]) ).
cnf(s204,plain,
$false,
inference(rat,[],[s14,s202,s203,s201]) ).
fof(f6612,plain,
$false,
inference(avatar_sat_refutation,[],[s204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV575+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 06:36:40 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.18/2.42 % (2187961)Detected formulas, will run a generic FOF schedule.
% 11.18/2.42 % (2187970)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=809260436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.18/2.42 % (2187967)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=2978032852:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.18/2.42 % (2187966)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=961230674:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.18/2.42 % (2187969)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3378679598:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.18/2.42 % (2187968)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=2096802667:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.18/2.42 % (2187969)Refutation not found, incomplete strategy
% 11.18/2.42 % (2187969)------------------------------
% 11.18/2.42 % (2187969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187969)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187969)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.42 % (2187969)Time elapsed: 0.001 s
% 11.18/2.42 % (2187969)Peak memory usage: 88 MB
% 11.18/2.42 % (2187969)Instructions burned: 1 (million)
% 11.18/2.42 % (2187970)Instruction limit reached!
% 11.18/2.42 % (2187970)------------------------------
% 11.18/2.42 % (2187970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187970)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187970)Termination reason: Instruction limit
% 11.18/2.42 % (2187970)Termination phase: Saturation
% 11.18/2.42 % (2187970)Time elapsed: 0.041 s
% 11.18/2.42 % (2187970)Peak memory usage: 89 MB
% 11.18/2.42 % (2187970)Instructions burned: 122 (million)
% 11.18/2.42 % (2187972)dis-21_1_sil=8000:lcm=predicate:random_seed=862930185: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)
% 11.18/2.42 % (2187971)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=133099680:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.18/2.42 % (2187972)Instruction limit reached!
% 11.18/2.42 % (2187972)------------------------------
% 11.18/2.42 % (2187972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187972)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187972)Termination reason: Instruction limit
% 11.18/2.42 % (2187972)Termination phase: Saturation
% 11.18/2.42 % (2187972)Time elapsed: 0.068 s
% 11.18/2.42 % (2187972)Peak memory usage: 88 MB
% 11.18/2.42 % (2187972)Instructions burned: 131 (million)
% 11.18/2.42 % (2187971)Instruction limit reached!
% 11.18/2.42 % (2187971)------------------------------
% 11.18/2.42 % (2187971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187971)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187971)Termination reason: Instruction limit
% 11.18/2.42 % (2187971)Termination phase: Saturation
% 11.18/2.42 % (2187971)Time elapsed: 0.092 s
% 11.18/2.42 % (2187971)Peak memory usage: 89 MB
% 11.18/2.42 % (2187971)Instructions burned: 141 (million)
% 11.18/2.42 % (2187980)lrs+10_1_sil=8000:sp=occurrence:random_seed=2231708625:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.18/2.42 % (2187981)lrs+10_1_sil=32000:urr=on:br=off:random_seed=192739223:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.18/2.42 % (2187969)------------------------------
% 11.18/2.42 % (2187969)------------------------------
% 11.18/2.42 % (2187980)Instruction limit reached!
% 11.18/2.42 % (2187980)------------------------------
% 11.18/2.42 % (2187980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187980)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187980)Termination reason: Instruction limit
% 11.18/2.42 % (2187980)Termination phase: Saturation
% 11.18/2.42 % (2187980)Time elapsed: 0.101 s
% 11.18/2.42 % (2187980)Peak memory usage: 91 MB
% 11.18/2.42 % (2187980)Instructions burned: 287 (million)
% 11.18/2.42 % (2187982)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1902144667:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.18/2.42 % (2187981)Instruction limit reached!
% 11.18/2.42 % (2187981)------------------------------
% 11.18/2.42 % (2187981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187981)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187981)Termination reason: Instruction limit
% 11.18/2.42 % (2187981)Termination phase: Saturation
% 11.18/2.42 % (2187981)Time elapsed: 0.081 s
% 11.18/2.42 % (2187981)Peak memory usage: 90 MB
% 11.18/2.42 % (2187981)Instructions burned: 158 (million)
% 11.18/2.42 % (2187985)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=1608389381:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.18/2.42 % (2187986)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=921008403:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.18/2.42 % (2187986)Refutation not found, incomplete strategy
% 11.18/2.42 % (2187986)------------------------------
% 11.18/2.42 % (2187986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187986)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187986)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.42 % (2187986)Time elapsed: 0.002 s
% 11.18/2.42 % (2187986)Peak memory usage: 88 MB
% 11.18/2.42 % (2187986)Instructions burned: 1 (million)
% 11.18/2.42 % (2187985)Instruction limit reached!
% 11.18/2.42 % (2187985)------------------------------
% 11.18/2.42 % (2187985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187985)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187985)Termination reason: Instruction limit
% 11.18/2.42 % (2187985)Termination phase: Saturation
% 11.18/2.42 % (2187985)Time elapsed: 0.073 s
% 11.18/2.42 % (2187985)Peak memory usage: 91 MB
% 11.18/2.42 % (2187985)Instructions burned: 250 (million)
% 11.18/2.42 % (2187988)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1142268083:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.18/2.42 % (2187982)Instruction limit reached!
% 11.18/2.42 % (2187982)------------------------------
% 11.18/2.42 % (2187982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187982)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187982)Termination reason: Instruction limit
% 11.18/2.42 % (2187982)Termination phase: Saturation
% 11.18/2.42 % (2187982)Time elapsed: 0.218 s
% 11.18/2.42 % (2187982)Peak memory usage: 92 MB
% 11.18/2.42 % (2187982)Instructions burned: 326 (million)
% 11.18/2.42 % (2187991)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=535566668:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.18/2.42 % (2187991)Instruction limit reached!
% 11.18/2.42 % (2187991)------------------------------
% 11.18/2.42 % (2187991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187991)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187991)Termination reason: Instruction limit
% 11.18/2.42 % (2187991)Termination phase: Saturation
% 11.18/2.42 % (2187991)Time elapsed: 0.034 s
% 11.18/2.42 % (2187991)Peak memory usage: 89 MB
% 11.18/2.42 % (2187991)Instructions burned: 115 (million)
% 11.18/2.42 % (2187993)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1247767412:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.18/2.42 % (2187986)------------------------------
% 11.18/2.42 % (2187986)------------------------------
% 11.18/2.42 % (2187993)Instruction limit reached!
% 11.18/2.42 % (2187993)------------------------------
% 11.18/2.42 % (2187993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187993)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187993)Termination reason: Instruction limit
% 11.18/2.42 % (2187993)Termination phase: Saturation
% 11.18/2.42 % (2187993)Time elapsed: 0.058 s
% 11.18/2.42 % (2187993)Peak memory usage: 88 MB
% 11.18/2.42 % (2187993)Instructions burned: 129 (million)
% 11.18/2.42 % (2187995)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2682175159:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.18/2.42 % (2187995)Instruction limit reached!
% 11.18/2.42 % (2187995)------------------------------
% 11.18/2.42 % (2187995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187995)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187995)Termination reason: Instruction limit
% 11.18/2.42 % (2187995)Termination phase: Saturation
% 11.18/2.42 % (2187995)Time elapsed: 0.029 s
% 11.18/2.42 % (2187995)Peak memory usage: 88 MB
% 11.18/2.42 % (2187995)Instructions burned: 118 (million)
% 11.18/2.42 % (2187997)lrs+10_1_sil=8000:sp=occurrence:random_seed=4146831662:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.18/2.42 % (2187998)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2136822567:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.18/2.42 % (2187998)Refutation not found, incomplete strategy
% 11.18/2.42 % (2187998)------------------------------
% 11.18/2.42 % (2187998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2187998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2187998)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2187998)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.42 % (2187998)Time elapsed: 0.002 s
% 11.18/2.42 % (2187998)Peak memory usage: 88 MB
% 11.18/2.42 % (2187998)Instructions burned: 1 (million)
% 11.18/2.42 % (2188000)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2012296527:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.18/2.42 % (2187998)------------------------------
% 11.18/2.42 % (2187998)------------------------------
% 11.18/2.42 % (2187967)First to succeed.
% 11.18/2.42 % (2187967)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2187961"
% 11.18/2.42 % (2188004)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=968276786:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.18/2.42 % (2188004)Instruction limit reached!
% 11.18/2.42 % (2188004)------------------------------
% 11.18/2.42 % (2188004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.42 % (2188004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.42 % (2188004)CaDiCaL version: 2.1.3
% 11.18/2.42 % (2188004)Termination reason: Instruction limit
% 11.18/2.42 % (2188004)Termination phase: Saturation
% 11.18/2.42 % (2188004)Time elapsed: 0.070 s
% 11.18/2.42 % (2188004)Peak memory usage: 90 MB
% 11.18/2.42 % (2188004)Instructions burned: 134 (million)
% 11.18/2.42 % (2187967)Refutation found. Thanks to Tanya!
% 11.18/2.42 % SZS status Theorem for theBenchmark
% 11.18/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 11.59/2.62 % (2187967)------------------------------
% 11.59/2.62 % (2187967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.59/2.62 % (2187967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.59/2.62 % (2187967)CaDiCaL version: 2.1.3
% 11.59/2.62 % (2187967)Termination reason: Refutation
% 11.59/2.62 % (2187967)Time elapsed: 1.130 s
% 11.59/2.62 % (2187967)Peak memory usage: 135 MB
% 11.59/2.62 % (2187967)Instructions burned: 1726 (million)
% 11.59/2.62 % (2187967)------------------------------
% 11.59/2.62 % (2187967)------------------------------
% 11.59/2.62 % (2187961)Success in time 1.551 s
% 11.59/2.62 % Vampire exiting
%------------------------------------------------------------------------------