%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV559+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 12:58:20 PM UTC 2026
% Result : Theorem 1.94s 1.30s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 213 ( 36 unt; 16 def)
% Number of atoms : 525 ( 69 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 550 ( 238 ~; 266 |; 21 &)
% ( 23 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 118 !; 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(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_2162_4104) ).
fof(f27,negated_conjecture,
~ disj(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ disj(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) )
=> disj(X0,X1) ),
inference(unused_predicate_definition_removal,[],[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] :
( disj(X0,X1)
| ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( disj(X0,X1)
| ( mem(sK1(X0,X1),X0)
& mem(sK1(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f33]) ).
fof(f38,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f39,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(f40,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,[],[f39]) ).
fof(f41,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(f42,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,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f44,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f48,plain,
! [X0,X1] :
( disj(X0,X1)
| mem(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X0,X1] :
( disj(X0,X1)
| mem(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f54,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| mem(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
~ disj(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f52]) ).
fof(f66,plain,
mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),
inference(resolution,[],[f48,f63]) ).
fof(f67,plain,
mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e)))))),
inference(resolution,[],[f49,f63]) ).
fof(f68,plain,
! [X2,X0,X1] :
( mem(X2,a(X0,X1))
| ~ mem(X2,X0) ),
inference(superposition,[],[f55,f59]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ mem(X2,s(X1))
| mem(X2,a(X0,X1)) ),
inference(superposition,[],[f54,f59]) ).
fof(f73,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),a(s(n(s(n(e)))),n(n(n(e)))))
| mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),m(p(p(s(n(e)))),n(e))) ),
inference(resolution,[],[f53,f67]) ).
fof(f74,plain,
! [X2,X0,X1] :
( mem(X2,s(X1))
| ~ mem(X2,a(X0,X1))
| mem(X2,X0) ),
inference(superposition,[],[f53,f59]) ).
fof(f76,definition,
( spl2_1
<=> mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),m(p(p(s(n(e)))),n(e))) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f78,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),m(p(p(s(n(e)))),n(e)))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl2_2
<=> mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),a(s(n(s(n(e)))),n(n(n(e))))) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f82,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),a(s(n(s(n(e)))),n(n(n(e)))))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f73,f80,f76]) ).
fof(f87,plain,
! [X0,X1] :
( mem(X1,n(X0))
| ~ mem(X1,X0) ),
inference(superposition,[],[f68,f60]) ).
fof(f93,plain,
! [X0,X1] : mem(X0,a(X1,X0)),
inference(resolution,[],[f69,f64]) ).
fof(f94,plain,
! [X0] : mem(X0,n(X0)),
inference(superposition,[],[f93,f60]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ mem(X0,a(X1,X2))
| mem(X0,X1)
| X0 = X2 ),
inference(resolution,[],[f74,f51]) ).
fof(f120,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),s(n(n(e))))
| a(s(s(n(e))),n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))) ),
inference(resolution,[],[f96,f66]) ).
fof(f123,plain,
! [X0,X1] :
( ~ mem(X1,n(X0))
| mem(X1,X0)
| X0 = X1 ),
inference(superposition,[],[f96,f60]) ).
fof(f125,definition,
( spl2_3
<=> n(n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f127,plain,
( n(n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl2_4
<=> mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),s(n(s(n(e))))) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f131,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),s(n(s(n(e)))))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f134,definition,
( spl2_5
<=> a(s(s(n(e))),n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f136,plain,
( a(s(s(n(e))),n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,definition,
( spl2_6
<=> mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),s(n(n(e)))) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f140,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),s(n(n(e))))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f120,f138,f134]) ).
fof(f144,plain,
( mem(n(n(n(e))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))
| ~ spl2_3 ),
inference(superposition,[],[f66,f127]) ).
fof(f147,plain,
( mem(n(n(n(e))),s(n(n(e))))
| n(n(n(e))) = a(s(s(n(e))),n(n(e)))
| ~ spl2_3 ),
inference(resolution,[],[f144,f96]) ).
fof(f149,definition,
( spl2_7
<=> n(n(n(e))) = a(s(s(n(e))),n(n(e))) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f151,plain,
( n(n(n(e))) = a(s(s(n(e))),n(n(e)))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f153,definition,
( spl2_8
<=> mem(n(n(n(e))),s(n(n(e)))) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f155,plain,
( mem(n(n(n(e))),s(n(n(e))))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f159,plain,
( mem(a(s(s(n(e))),n(n(e))),s(n(s(n(e)))))
| ~ spl2_4
| ~ spl2_5 ),
inference(superposition,[],[f131,f136]) ).
fof(f170,plain,
( n(s(n(e))) = a(s(s(n(e))),n(n(e)))
| ~ spl2_4
| ~ spl2_5 ),
inference(resolution,[],[f159,f51]) ).
fof(f183,plain,
( mem(n(n(e)),n(s(n(e))))
| ~ spl2_4
| ~ spl2_5 ),
inference(superposition,[],[f93,f170]) ).
fof(f189,plain,
( mem(n(n(e)),s(n(e)))
| s(n(e)) = n(n(e))
| ~ spl2_4
| ~ spl2_5 ),
inference(resolution,[],[f183,f123]) ).
fof(f191,definition,
( spl2_9
<=> s(n(e)) = n(n(e)) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f193,plain,
( s(n(e)) = n(n(e))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,definition,
( spl2_10
<=> mem(n(n(e)),s(n(e))) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f197,plain,
( mem(n(n(e)),s(n(e)))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f210,plain,
( ! [X0] :
( mem(X0,s(s(n(e))))
| ~ mem(X0,n(n(n(e))))
| n(n(e)) = X0 )
| ~ spl2_7 ),
inference(superposition,[],[f96,f151]) ).
fof(f227,plain,
( ! [X0] :
( ~ mem(X0,n(n(n(e))))
| n(n(e)) = X0
| s(n(e)) = X0 )
| ~ spl2_7 ),
inference(resolution,[],[f210,f51]) ).
fof(f235,plain,
( ! [X0] :
( ~ mem(X0,n(n(e)))
| s(n(e)) = X0
| n(n(e)) = X0 )
| ~ spl2_7 ),
inference(resolution,[],[f227,f87]) ).
fof(f259,plain,
( n(e) = s(n(e))
| n(e) = n(n(e))
| ~ spl2_7 ),
inference(resolution,[],[f235,f94]) ).
fof(f264,definition,
( spl2_11
<=> n(e) = n(n(e)) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f265,plain,
( n(e) != n(n(e))
| spl2_11 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( n(e) = n(n(e))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl2_12
<=> n(e) = s(n(e)) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f269,plain,
( n(e) != s(n(e))
| spl2_12 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( n(e) = s(n(e))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,plain,
( mem(a(s(s(n(e))),n(n(e))),m(p(p(s(n(e)))),n(e)))
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f78,f136]) ).
fof(f275,plain,
( mem(a(s(s(n(e))),n(n(e))),p(p(s(n(e)))))
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f272,f57]) ).
fof(f284,plain,
( subq(a(s(s(n(e))),n(n(e))),p(s(n(e))))
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f275,f61]) ).
fof(f288,plain,
( ! [X0] :
( mem(X0,p(s(n(e))))
| ~ mem(X0,a(s(s(n(e))),n(n(e)))) )
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f284,f44]) ).
fof(f309,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),p(p(s(n(e)))))
| ~ spl2_1 ),
inference(resolution,[],[f78,f57]) ).
fof(f319,plain,
( n(n(e)) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))
| ~ spl2_6 ),
inference(resolution,[],[f140,f51]) ).
fof(f333,plain,
( mem(n(n(e)),p(p(s(n(e)))))
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f309,f319]) ).
fof(f335,plain,
( subq(n(n(e)),p(s(n(e))))
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f333,f61]) ).
fof(f340,plain,
( ! [X0] :
( mem(X0,p(s(n(e))))
| ~ mem(X0,n(n(e))) )
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f335,f44]) ).
fof(f466,plain,
( ! [X0] :
( ~ mem(X0,a(s(s(n(e))),n(n(e))))
| subq(X0,s(n(e))) )
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f288,f61]) ).
fof(f483,plain,
( subq(n(n(e)),s(n(e)))
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f466,f93]) ).
fof(f491,plain,
( ! [X0] :
( mem(X0,s(n(e)))
| ~ mem(X0,n(n(e))) )
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f483,f44]) ).
fof(f507,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),s(n(s(n(e)))))
| n(n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))
| ~ spl2_2 ),
inference(resolution,[],[f82,f96]) ).
fof(f769,definition,
( spl2_37
<=> mem(s(n(e)),n(e)) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
fof(f770,plain,
( ~ mem(s(n(e)),n(e))
| spl2_37 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f771,plain,
( mem(s(n(e)),n(e))
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f809,plain,
( mem(n(e),n(e))
| ~ spl2_12 ),
inference(superposition,[],[f64,f270]) ).
fof(f848,plain,
( mem(n(e),e)
| e = n(e)
| ~ spl2_12 ),
inference(resolution,[],[f809,f123]) ).
fof(f849,plain,
( e = n(e)
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f848,f50]) ).
fof(f895,plain,
( mem(e,e)
| ~ spl2_12 ),
inference(superposition,[],[f809,f849]) ).
fof(f903,plain,
( $false
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f895,f50]) ).
fof(f904,plain,
~ spl2_12,
inference(avatar_contradiction_clause,[],[f903]) ).
fof(f977,plain,
( mem(s(n(e)),e)
| e = s(n(e))
| ~ spl2_37 ),
inference(resolution,[],[f771,f123]) ).
fof(f978,plain,
( e = s(n(e))
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f977,f50]) ).
fof(f1018,plain,
( mem(n(e),e)
| ~ spl2_37 ),
inference(superposition,[],[f64,f978]) ).
fof(f1025,plain,
( $false
| ~ spl2_37 ),
inference(forward_subsumption_resolution,[],[f1018,f50]) ).
fof(f1026,plain,
~ spl2_37,
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1049,plain,
( spl2_7
| spl2_8
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f147,f125,f153,f149]) ).
fof(f1051,plain,
( spl2_11
| spl2_12
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f259,f149,f268,f264]) ).
fof(f1052,plain,
( mem(n(n(e)),s(n(s(n(e)))))
| n(n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))
| ~ spl2_2
| ~ spl2_6 ),
inference(forward_demodulation,[],[f507,f319]) ).
fof(f1053,plain,
( n(n(e)) = n(n(n(e)))
| mem(n(n(e)),s(n(s(n(e)))))
| ~ spl2_2
| ~ spl2_6 ),
inference(forward_demodulation,[],[f1052,f319]) ).
fof(f1055,definition,
( spl2_40
<=> mem(n(n(e)),s(n(s(n(e))))) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
fof(f1057,plain,
( mem(n(n(e)),s(n(s(n(e)))))
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1059,definition,
( spl2_41
<=> n(n(e)) = n(n(n(e))) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
fof(f1060,plain,
( n(n(e)) != n(n(n(e)))
| spl2_41 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1061,plain,
( n(n(e)) = n(n(n(e)))
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,plain,
( spl2_40
| spl2_41
| ~ spl2_2
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f1053,f138,f80,f1059,f1055]) ).
fof(f1083,plain,
( mem(n(n(e)),n(n(e)))
| ~ spl2_41 ),
inference(superposition,[],[f94,f1061]) ).
fof(f1120,plain,
( mem(n(e),n(e))
| ~ spl2_11 ),
inference(superposition,[],[f94,f266]) ).
fof(f1138,plain,
( mem(n(e),e)
| e = n(e)
| ~ spl2_11 ),
inference(resolution,[],[f1120,f123]) ).
fof(f1139,plain,
( e = n(e)
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f1138,f50]) ).
fof(f1179,plain,
( mem(e,e)
| ~ spl2_11 ),
inference(superposition,[],[f1120,f1139]) ).
fof(f1188,plain,
( $false
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f1179,f50]) ).
fof(f1189,plain,
~ spl2_11,
inference(avatar_contradiction_clause,[],[f1188]) ).
fof(f1240,plain,
( mem(n(n(e)),n(e))
| n(e) = n(n(e))
| ~ spl2_41 ),
inference(resolution,[],[f1083,f123]) ).
fof(f1241,plain,
( mem(n(n(e)),n(e))
| spl2_11
| ~ spl2_41 ),
inference(forward_subsumption_resolution,[],[f1240,f265]) ).
fof(f1242,plain,
( mem(n(n(e)),e)
| e = n(n(e))
| spl2_11
| ~ spl2_41 ),
inference(resolution,[],[f1241,f123]) ).
fof(f1243,plain,
( e = n(n(e))
| spl2_11
| ~ spl2_41 ),
inference(forward_subsumption_resolution,[],[f1242,f50]) ).
fof(f1283,plain,
( mem(e,e)
| spl2_11
| ~ spl2_41 ),
inference(superposition,[],[f1083,f1243]) ).
fof(f1293,plain,
( $false
| spl2_11
| ~ spl2_41 ),
inference(forward_subsumption_resolution,[],[f1283,f50]) ).
fof(f1294,plain,
( spl2_11
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1349,plain,
( n(n(e)) = n(n(n(e)))
| ~ spl2_8 ),
inference(resolution,[],[f155,f51]) ).
fof(f1350,plain,
( $false
| ~ spl2_8
| spl2_41 ),
inference(forward_subsumption_resolution,[],[f1349,f1060]) ).
fof(f1351,plain,
( ~ spl2_8
| spl2_41 ),
inference(avatar_contradiction_clause,[],[f1350]) ).
fof(f1369,plain,
( ! [X0] :
( subq(X0,s(n(e)))
| ~ mem(X0,n(n(e))) )
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f340,f61]) ).
fof(f1411,plain,
( ! [X0,X1] :
( ~ mem(X0,n(n(e)))
| ~ mem(X1,X0)
| mem(X1,s(n(e))) )
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f1369,f44]) ).
fof(f1576,plain,
( ! [X0] :
( mem(X0,s(n(e)))
| ~ mem(X0,n(e)) )
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f1411,f94]) ).
fof(f1715,plain,
( ! [X0] :
( ~ mem(X0,n(e))
| n(e) = X0 )
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f1576,f51]) ).
fof(f1728,plain,
( e = n(e)
| ~ spl2_1
| ~ spl2_6 ),
inference(resolution,[],[f1715,f94]) ).
fof(f1734,definition,
( spl2_58
<=> e = n(e) ),
introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).
fof(f1735,plain,
( e != n(e)
| spl2_58 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1736,plain,
( e = n(e)
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1742,plain,
( spl2_58
| ~ spl2_1
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f1728,f138,f76,f1734]) ).
fof(f1827,plain,
( mem(e,e)
| ~ spl2_58 ),
inference(superposition,[],[f94,f1736]) ).
fof(f1829,plain,
( $false
| ~ spl2_58 ),
inference(forward_subsumption_resolution,[],[f1827,f50]) ).
fof(f1830,plain,
~ spl2_58,
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1950,plain,
( spl2_9
| spl2_10
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f189,f134,f129,f195,f191]) ).
fof(f1955,plain,
( mem(sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e))))),s(n(s(n(e)))))
| n(n(n(e))) = sK1(u(m(p(p(s(n(e)))),n(e)),a(s(n(s(n(e)))),n(n(n(e))))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))
| ~ spl2_2 ),
inference(resolution,[],[f82,f96]) ).
fof(f1956,plain,
( spl2_3
| spl2_4
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f1955,f80,f129,f125]) ).
fof(f1958,plain,
( n(e) = n(n(e))
| ~ spl2_10 ),
inference(resolution,[],[f197,f51]) ).
fof(f1959,plain,
( $false
| ~ spl2_10
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f1958,f265]) ).
fof(f1960,plain,
( ~ spl2_10
| spl2_11 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
fof(f1996,plain,
( ! [X0] :
( ~ mem(X0,n(n(e)))
| n(e) = X0 )
| ~ spl2_9 ),
inference(superposition,[],[f51,f193]) ).
fof(f2123,plain,
( ! [X0] :
( ~ mem(X0,n(e))
| n(e) = X0 )
| ~ spl2_9 ),
inference(resolution,[],[f1996,f87]) ).
fof(f2134,plain,
( e = n(e)
| ~ spl2_9 ),
inference(resolution,[],[f2123,f94]) ).
fof(f2140,plain,
( $false
| ~ spl2_9
| spl2_58 ),
inference(forward_subsumption_resolution,[],[f2134,f1735]) ).
fof(f2141,plain,
( ~ spl2_9
| spl2_58 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
fof(f2235,plain,
( n(s(n(e))) = n(n(e))
| ~ spl2_40 ),
inference(resolution,[],[f1057,f51]) ).
fof(f2247,plain,
( mem(s(n(e)),n(n(e)))
| ~ spl2_40 ),
inference(superposition,[],[f94,f2235]) ).
fof(f2250,plain,
( mem(s(n(e)),n(e))
| n(e) = s(n(e))
| ~ spl2_40 ),
inference(resolution,[],[f2247,f123]) ).
fof(f2251,plain,
( n(e) = s(n(e))
| spl2_37
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f2250,f770]) ).
fof(f2252,plain,
( $false
| spl2_12
| spl2_37
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f2251,f269]) ).
fof(f2253,plain,
( spl2_12
| spl2_37
| ~ spl2_40 ),
inference(avatar_contradiction_clause,[],[f2252]) ).
fof(f2268,plain,
( ! [X0] :
( ~ mem(X0,n(n(e)))
| n(e) = X0 )
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f491,f51]) ).
fof(f2283,plain,
( ! [X0] :
( ~ mem(X0,n(e))
| n(e) = X0 )
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f2268,f87]) ).
fof(f2294,plain,
( e = n(e)
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f2283,f94]) ).
fof(f2300,plain,
( $false
| ~ spl2_1
| ~ spl2_5
| spl2_58 ),
inference(forward_subsumption_resolution,[],[f2294,f1735]) ).
fof(f2301,plain,
( ~ spl2_1
| ~ spl2_5
| spl2_58 ),
inference(avatar_contradiction_clause,[],[f2300]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f83]) ).
cnf(s3,plain,
( spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f141]) ).
cnf(s46,plain,
~ spl2_12,
inference(sat_conversion,[],[f904]) ).
cnf(s51,plain,
~ spl2_37,
inference(sat_conversion,[],[f1026]) ).
cnf(s56,plain,
( ~ spl2_3
| spl2_7
| spl2_8 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s57,plain,
( ~ spl2_7
| spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s58,plain,
( ~ spl2_2
| ~ spl2_6
| spl2_40
| spl2_41 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s61,plain,
~ spl2_11,
inference(sat_conversion,[],[f1189]) ).
cnf(s65,plain,
( spl2_11
| ~ spl2_41 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s78,plain,
( ~ spl2_8
| spl2_41 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s103,plain,
( ~ spl2_1
| ~ spl2_6
| spl2_58 ),
inference(sat_conversion,[],[f1742]) ).
cnf(s104,plain,
~ spl2_58,
inference(sat_conversion,[],[f1830]) ).
cnf(s111,plain,
( ~ spl2_4
| ~ spl2_5
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s113,plain,
( ~ spl2_2
| spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s114,plain,
( ~ spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s117,plain,
( ~ spl2_9
| spl2_58 ),
inference(sat_conversion,[],[f2141]) ).
cnf(s137,plain,
( spl2_12
| spl2_37
| ~ spl2_40 ),
inference(sat_conversion,[],[f2253]) ).
cnf(s139,plain,
( ~ spl2_1
| ~ spl2_5
| spl2_58 ),
inference(sat_conversion,[],[f2301]) ).
cnf(s141,plain,
~ spl2_9,
inference(rat,[],[s117,s104]) ).
cnf(s142,plain,
( ~ spl2_1
| ~ spl2_6 ),
inference(rat,[],[s103,s104]) ).
cnf(s147,plain,
~ spl2_10,
inference(rat,[],[s114,s61]) ).
cnf(s148,plain,
~ spl2_41,
inference(rat,[],[s65,s61]) ).
cnf(s150,plain,
~ spl2_8,
inference(rat,[],[s78,s148]) ).
cnf(s152,plain,
( ~ spl2_2
| ~ spl2_6
| spl2_40 ),
inference(rat,[],[s58,s148]) ).
cnf(s153,plain,
( ~ spl2_7
| spl2_12 ),
inference(rat,[],[s57,s61]) ).
cnf(s154,plain,
( ~ spl2_3
| spl2_7 ),
inference(rat,[],[s56,s150]) ).
cnf(s156,plain,
~ spl2_40,
inference(rat,[],[s137,s51,s46]) ).
cnf(s158,plain,
~ spl2_7,
inference(rat,[],[s153,s46]) ).
cnf(s160,plain,
~ spl2_3,
inference(rat,[],[s154,s158]) ).
cnf(s171,plain,
~ spl2_2,
inference(rat,[],[s3,s111,s152,s113,s141,s147,s156,s160]) ).
cnf(s173,plain,
spl2_1,
inference(rat,[],[s1,s171]) ).
cnf(s174,plain,
~ spl2_5,
inference(rat,[],[s139,s104,s173]) ).
cnf(s177,plain,
~ spl2_6,
inference(rat,[],[s142,s173]) ).
cnf(s178,plain,
$false,
inference(rat,[],[s3,s177,s174]) ).
fof(f2303,plain,
$false,
inference(avatar_sat_refutation,[],[s178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV559+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 06:36:31 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 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
% 1.94/1.30 % (3207887)Detected formulas, will run a generic FOF schedule.
% 1.94/1.30 % (3207895)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2783218223:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.94/1.30 % (3207895)Refutation not found, incomplete strategy
% 1.94/1.30 % (3207895)------------------------------
% 1.94/1.30 % (3207895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.30 % (3207895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.30 % (3207895)CaDiCaL version: 2.1.3
% 1.94/1.30 % (3207895)Termination reason: Refutation not found, incomplete strategy
% 1.94/1.30 % (3207895)Time elapsed: 0.001 s
% 1.94/1.30 % (3207895)Peak memory usage: 88 MB
% 1.94/1.30 % (3207895)Instructions burned: 1 (million)
% 1.94/1.30 % (3207894)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=1022220977:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.94/1.30 % (3207893)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=3061101114:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.94/1.30 % (3207892)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=1561420362:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.94/1.30 % (3207897)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3627605796:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.94/1.30 % (3207896)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2218574716:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.94/1.30 % (3207898)dis-21_1_sil=8000:lcm=predicate:random_seed=881420354: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)
% 1.94/1.30 % (3207898)Instruction limit reached!
% 1.94/1.30 % (3207898)------------------------------
% 1.94/1.30 % (3207898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.30 % (3207898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.30 % (3207898)CaDiCaL version: 2.1.3
% 1.94/1.30 % (3207898)Termination reason: Instruction limit
% 1.94/1.30 % (3207898)Termination phase: Saturation
% 1.94/1.30 % (3207898)Time elapsed: 0.068 s
% 1.94/1.30 % (3207898)Peak memory usage: 89 MB
% 1.94/1.30 % (3207898)Instructions burned: 130 (million)
% 1.94/1.30 % (3207897)First to succeed.
% 1.94/1.30 % (3207896)Instruction limit reached!
% 1.94/1.30 % (3207896)------------------------------
% 1.94/1.30 % (3207896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.30 % (3207896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.30 % (3207896)CaDiCaL version: 2.1.3
% 1.94/1.30 % (3207896)Termination reason: Instruction limit
% 1.94/1.30 % (3207896)Termination phase: Saturation
% 1.94/1.30 % (3207896)Time elapsed: 0.075 s
% 1.94/1.30 % (3207896)Peak memory usage: 88 MB
% 1.94/1.30 % (3207896)Instructions burned: 120 (million)
% 1.94/1.30 % (3207897)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3207887"
% 1.94/1.30 % (3207895)------------------------------
% 1.94/1.30 % (3207895)------------------------------
% 1.94/1.30 % (3207907)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1478620674:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.94/1.30 % (3207906)lrs+10_1_sil=8000:sp=occurrence:random_seed=1948073694:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.94/1.30 % (3207908)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2372739579:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.94/1.30 % (3207908)Refutation not found, incomplete strategy
% 1.94/1.30 % (3207908)------------------------------
% 1.94/1.30 % (3207908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.30 % (3207908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.30 % (3207908)CaDiCaL version: 2.1.3
% 1.94/1.30 % (3207908)Termination reason: Refutation not found, incomplete strategy
% 1.94/1.30 % (3207908)Time elapsed: 0.002 s
% 1.94/1.30 % (3207908)Peak memory usage: 88 MB
% 1.94/1.30 % (3207908)Instructions burned: 4 (million)
% 1.94/1.30 % (3207907)Instruction limit reached!
% 1.94/1.30 % (3207907)------------------------------
% 1.94/1.30 % (3207907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.94/1.30 % (3207907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/1.30 % (3207907)CaDiCaL version: 2.1.3
% 1.94/1.30 % (3207907)Termination reason: Instruction limit
% 1.94/1.30 % (3207907)Termination phase: Saturation
% 1.94/1.30 % (3207907)Time elapsed: 0.083 s
% 1.94/1.30 % (3207907)Peak memory usage: 90 MB
% 1.94/1.30 % (3207907)Instructions burned: 158 (million)
% 1.94/1.30 % (3207897)Refutation found. Thanks to Tanya!
% 1.94/1.30 % SZS status Theorem for theBenchmark
% 1.94/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/1.50 % (3207897)------------------------------
% 0.14/1.50 % (3207897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/1.50 % (3207897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.50 % (3207897)CaDiCaL version: 2.1.3
% 0.14/1.50 % (3207897)Termination reason: Refutation
% 0.14/1.50 % (3207897)Time elapsed: 0.078 s
% 0.14/1.50 % (3207897)Peak memory usage: 90 MB
% 0.14/1.50 % (3207897)Instructions burned: 116 (million)
% 0.14/1.50 % (3207897)------------------------------
% 0.14/1.50 % (3207897)------------------------------
% 0.14/1.50 % (3207887)Success in time 0.491 s
% 0.14/1.50 % Vampire exiting
%------------------------------------------------------------------------------