%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV577+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 : n006.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 10.34s 2.08s
% Output : Refutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 29
% Syntax : Number of formulae : 267 ( 48 unt; 19 def)
% Number of atoms : 621 ( 53 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 632 ( 278 ~; 309 |; 17 &)
% ( 25 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 23 ( 21 usr; 20 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(u(a(a(n(n(e)),n(s(n(e)))),a(s(s(n(e))),n(n(e)))),s(p(n(n(e))))),u(m(p(a(n(s(n(e))),n(n(e)))),u(s(s(s(n(e)))),p(n(n(n(e)))))),a(n(n(e)),p(n(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_36931_53315) ).
fof(f27,negated_conjecture,
~ subq(u(a(a(n(n(e)),n(s(n(e)))),a(s(s(n(e))),n(n(e)))),s(p(n(n(e))))),u(m(p(a(n(s(n(e))),n(n(e)))),u(s(s(s(n(e)))),p(n(n(n(e)))))),a(n(n(e)),p(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ subq(u(a(a(n(n(e)),n(s(n(e)))),a(s(s(n(e))),n(n(e)))),s(p(n(n(e))))),u(m(p(a(n(s(n(e))),n(n(e)))),u(s(s(s(n(e)))),p(n(n(n(e)))))),a(n(n(e)),p(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(u(a(a(n(n(e)),n(s(n(e)))),a(s(s(n(e))),n(n(e)))),s(p(n(n(e))))),u(m(p(a(n(s(n(e))),n(n(e)))),u(s(s(s(n(e)))),p(n(n(n(e)))))),a(n(n(e)),p(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,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f101,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f105,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f110,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f111,plain,
! [X0,X1] :
( mem(sK2(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f112,plain,
! [X0,X1] :
( ~ mem(sK2(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(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(u(u(u(u(e,s(e)),s(u(e,s(e)))),s(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)))))))),s(p(u(u(e,s(e)),s(u(e,s(e))))))),u(m(p(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(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))))))))),u(u(u(e,s(e)),s(u(e,s(e)))),s(p(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f90,f92,f92,f170,f170,f170,f170,f92,f170,f170,f170,f170,f170,f92,f170,f170,f170,f170,f170,f170,f170,f170,f92,f170,f170,f170,f170]) ).
fof(f172,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f94]) ).
fof(f174,plain,
! [X0,X1] :
( subq(s(X0),X1)
| sK2(s(X0),X1) = X0 ),
inference(resolution,[],[f93,f111]) ).
fof(f175,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f112,f111]) ).
fof(f176,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f178,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f91,f111]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ mem(sK2(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f96,f112]) ).
fof(f187,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f186,f111]) ).
fof(f191,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ mem(sK2(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f97,f112]) ).
fof(f196,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(resolution,[],[f194,f111]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ mem(sK2(X0,u(u(X1,X2),X3)),X2)
| subq(X0,u(u(X1,X2),X3)) ),
inference(resolution,[],[f194,f96]) ).
fof(f201,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ mem(sK2(X0,u(m(X1,X2),X3)),X1)
| mem(sK2(X0,u(m(X1,X2),X3)),X2)
| subq(X0,u(m(X1,X2),X3)) ),
inference(resolution,[],[f100,f194]) ).
fof(f219,plain,
! [X0,X1] :
( ~ subq(s(X0),X1)
| mem(X0,X1) ),
inference(resolution,[],[f110,f172]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( ~ subq(u(X2,X3),X1)
| mem(X0,X1)
| ~ mem(X0,X2) ),
inference(resolution,[],[f110,f97]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ subq(u(X2,X3),X1)
| mem(X0,X1)
| ~ mem(X0,X3) ),
inference(resolution,[],[f110,f96]) ).
fof(f271,plain,
! [X0,X1] :
( mem(X0,X1)
| sK2(s(X0),X1) = X0 ),
inference(resolution,[],[f219,f174]) ).
fof(f273,plain,
! [X0,X1] : mem(X0,u(X1,s(X0))),
inference(resolution,[],[f219,f191]) ).
fof(f274,plain,
! [X0,X1] : mem(X0,u(s(X0),X1)),
inference(resolution,[],[f219,f201]) ).
fof(f306,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(f311,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X1),X0)
| subq(u(X0,X1),X1)
| subq(u(X0,X1),X1) ),
inference(resolution,[],[f306,f112]) ).
fof(f319,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,[],[f306,f93]) ).
fof(f324,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X0),X1)
| subq(u(X0,X1),X0)
| subq(u(X0,X1),X0) ),
inference(resolution,[],[f306,f112]) ).
fof(f343,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X0),X1)
| subq(u(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f324]) ).
fof(f349,plain,
! [X0,X1] :
( mem(sK2(u(X0,X1),X1),X0)
| subq(u(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f358,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,[],[f319,f93]) ).
fof(f486,plain,
! [X0] : subq(u(X0,e),X0),
inference(resolution,[],[f343,f91]) ).
fof(f511,plain,
! [X0] : subq(u(e,X0),X0),
inference(resolution,[],[f349,f91]) ).
fof(f575,plain,
! [X0,X1] :
( subq(X0,X1)
| sK2(X0,X1) = sK2(s(sK2(X0,X1)),X1) ),
inference(resolution,[],[f271,f112]) ).
fof(f617,plain,
! [X0] :
( ~ subq(X0,u(e,X0))
| u(e,X0) = X0 ),
inference(resolution,[],[f113,f511]) ).
fof(f620,plain,
! [X0] :
( ~ subq(X0,u(X0,e))
| u(X0,e) = X0 ),
inference(resolution,[],[f113,f486]) ).
fof(f631,plain,
! [X0] : u(X0,e) = X0,
inference(forward_subsumption_resolution,[],[f620,f201]) ).
fof(f633,plain,
! [X0] : u(e,X0) = X0,
inference(forward_subsumption_resolution,[],[f617,f191]) ).
fof(f667,plain,
~ subq(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),
inference(superposition,[],[f171,f633]) ).
fof(f879,plain,
sK2(u(u(u(u(u(e,s(e)),s(u(e,s(e)))),s(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)))))))),s(p(u(u(e,s(e)),s(u(e,s(e))))))),u(m(p(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(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))))))))),u(u(u(e,s(e)),s(u(e,s(e)))),s(p(u(u(e,s(e)),s(u(e,s(e))))))))) = sK2(s(sK2(u(u(u(u(u(e,s(e)),s(u(e,s(e)))),s(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)))))))),s(p(u(u(e,s(e)),s(u(e,s(e))))))),u(m(p(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(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))))))))),u(u(u(e,s(e)),s(u(e,s(e)))),s(p(u(u(e,s(e)),s(u(e,s(e)))))))))),u(m(p(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(s(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))))))))),u(u(u(e,s(e)),s(u(e,s(e)))),s(p(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(resolution,[],[f575,f171]) ).
fof(f883,plain,
sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))) = sK2(s(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),
inference(forward_demodulation,[],[f879,f633]) ).
fof(f884,plain,
( ~ mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))))
| mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))
| subq(s(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))) ),
inference(superposition,[],[f205,f883]) ).
fof(f886,plain,
( ~ mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))
| subq(s(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))) ),
inference(superposition,[],[f186,f883]) ).
fof(f892,definition,
( spl17_3
<=> subq(s(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f893,plain,
( subq(s(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f899,definition,
( spl17_5
<=> mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f900,plain,
( ~ mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))
| spl17_5 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f901,plain,
( spl17_3
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f886,f899,f892]) ).
fof(f907,definition,
( spl17_7
<=> mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f908,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,definition,
( spl17_8
<=> mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f911,plain,
( ~ mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))))
| spl17_8 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f912,plain,
( spl17_3
| spl17_7
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f884,f910,f907,f892]) ).
fof(f916,plain,
( ~ mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(s(e),s(s(e))))
| spl17_5 ),
inference(resolution,[],[f900,f97]) ).
fof(f917,plain,
( ~ mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),s(p(u(s(e),s(s(e))))))
| spl17_5 ),
inference(resolution,[],[f900,f96]) ).
fof(f924,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))))
| subq(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))
| spl17_5 ),
inference(resolution,[],[f917,f306]) ).
fof(f926,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))))
| spl17_5 ),
inference(forward_subsumption_resolution,[],[f924,f667]) ).
fof(f927,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),s(u(s(s(s(e))),s(u(s(e),s(s(e)))))))
| mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))))
| spl17_5 ),
inference(resolution,[],[f926,f95]) ).
fof(f931,definition,
( spl17_9
<=> mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f932,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))))
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f934,definition,
( spl17_10
<=> mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f935,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),s(u(s(s(s(e))),s(u(s(e),s(s(e)))))))
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f936,plain,
( spl17_9
| spl17_10
| spl17_5 ),
inference(avatar_split_clause,[],[f927,f899,f934,f931]) ).
fof(f940,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))
| ~ spl17_3 ),
inference(resolution,[],[f893,f219]) ).
fof(f954,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),s(u(s(s(e)),s(s(s(e))))))
| mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(s(e),s(s(e))))
| ~ spl17_9 ),
inference(resolution,[],[f932,f95]) ).
fof(f957,plain,
( mem(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),s(u(s(s(e)),s(s(s(e))))))
| spl17_5
| ~ spl17_9 ),
inference(forward_subsumption_resolution,[],[f954,f916]) ).
fof(f970,plain,
( u(s(s(e)),s(s(s(e)))) = sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))
| spl17_5
| ~ spl17_9 ),
inference(resolution,[],[f957,f93]) ).
fof(f975,plain,
( ~ subq(sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e)))))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| spl17_8 ),
inference(resolution,[],[f911,f106]) ).
fof(f978,plain,
( ~ subq(u(s(s(e)),s(s(s(e)))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| spl17_5
| spl17_8
| ~ spl17_9 ),
inference(forward_demodulation,[],[f975,f970]) ).
fof(f979,plain,
( $false
| spl17_5
| spl17_8
| ~ spl17_9 ),
inference(forward_subsumption_resolution,[],[f978,f201]) ).
fof(f980,plain,
( spl17_5
| spl17_8
| ~ spl17_9 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f981,plain,
( u(s(s(s(e))),s(u(s(e),s(s(e))))) = sK2(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))
| ~ spl17_10 ),
inference(resolution,[],[f935,f93]) ).
fof(f1030,plain,
( ~ subq(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| spl17_8
| ~ spl17_10 ),
inference(superposition,[],[f975,f981]) ).
fof(f1033,plain,
( u(s(e),s(s(e))) = sK2(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| s(s(e)) = sK2(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| spl17_8
| ~ spl17_10 ),
inference(resolution,[],[f1030,f358]) ).
fof(f1037,definition,
( spl17_13
<=> s(s(e)) = sK2(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f1038,plain,
( s(s(e)) = sK2(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1040,definition,
( spl17_14
<=> u(s(e),s(s(e))) = sK2(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f1041,plain,
( u(s(e),s(s(e))) = sK2(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1046,plain,
( subq(u(u(u(u(s(e),s(s(e))),s(u(s(s(e)),s(s(s(e)))))),s(u(s(s(s(e))),s(u(s(e),s(s(e))))))),s(p(u(s(e),s(s(e)))))),u(m(p(u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e)))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))),u(u(s(e),s(s(e))),s(p(u(s(e),s(s(e))))))))
| ~ spl17_3 ),
inference(resolution,[],[f940,f112]) ).
fof(f1051,plain,
( $false
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f1046,f667]) ).
fof(f1052,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1122,plain,
( ~ mem(s(s(e)),s(s(s(e))))
| subq(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| ~ spl17_13 ),
inference(superposition,[],[f199,f1038]) ).
fof(f1133,plain,
( subq(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| ~ spl17_13 ),
inference(forward_subsumption_resolution,[],[f1122,f172]) ).
fof(f1139,plain,
( $false
| spl17_8
| ~ spl17_10
| ~ spl17_13 ),
inference(forward_subsumption_resolution,[],[f1133,f1030]) ).
fof(f1140,plain,
( spl17_8
| ~ spl17_10
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1141,plain,
( mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))
| ~ spl17_7
| ~ spl17_10 ),
inference(forward_demodulation,[],[f908,f981]) ).
fof(f1144,definition,
( spl17_15
<=> mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl17_15])],[avatar_definition]) ).
fof(f1145,plain,
( mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1168,definition,
( spl17_21
<=> mem(s(s(e)),s(s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_21])],[avatar_definition]) ).
fof(f1169,plain,
( ~ mem(s(s(e)),s(s(e)))
| spl17_21 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1172,plain,
( spl17_15
| ~ spl17_7
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f1141,f934,f907,f1144]) ).
fof(f1176,plain,
( mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),s(s(s(s(e)))))
| ~ spl17_15 ),
inference(resolution,[],[f1145,f95]) ).
fof(f1180,definition,
( spl17_22
<=> mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),s(s(s(s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_22])],[avatar_definition]) ).
fof(f1181,plain,
( mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),s(s(s(s(e)))))
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1183,definition,
( spl17_23
<=> mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_23])],[avatar_definition]) ).
fof(f1184,plain,
( mem(u(s(s(s(e))),s(u(s(e),s(s(e))))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1185,plain,
( spl17_22
| spl17_23
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f1176,f1144,f1183,f1180]) ).
fof(f1186,plain,
( s(s(s(e))) = u(s(s(s(e))),s(u(s(e),s(s(e)))))
| ~ spl17_22 ),
inference(resolution,[],[f1181,f93]) ).
fof(f1210,plain,
( mem(u(s(e),s(s(e))),s(s(s(e))))
| ~ spl17_22 ),
inference(superposition,[],[f273,f1186]) ).
fof(f1466,definition,
( spl17_27
<=> s(e) = s(s(e)) ),
introduced(definition,[new_symbols(definition,[spl17_27])],[avatar_definition]) ).
fof(f1467,plain,
( s(e) = s(s(e))
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f1519,definition,
( spl17_29
<=> subq(s(s(e)),s(e)) ),
introduced(definition,[new_symbols(definition,[spl17_29])],[avatar_definition]) ).
fof(f1520,plain,
( subq(s(s(e)),s(e))
| ~ spl17_29 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1529,plain,
( ~ subq(s(s(e)),s(e))
| spl17_29 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1842,plain,
( subq(u(s(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_23 ),
inference(resolution,[],[f1184,f105]) ).
fof(f1845,plain,
( ! [X0] :
( mem(X0,u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ mem(X0,s(s(s(e)))) )
| ~ spl17_23 ),
inference(resolution,[],[f1842,f220]) ).
fof(f1859,plain,
( ! [X0] :
( mem(X0,s(u(s(e),s(s(e)))))
| ~ mem(X0,s(s(s(e))))
| mem(X0,u(s(e),s(s(e)))) )
| ~ spl17_23 ),
inference(resolution,[],[f1845,f95]) ).
fof(f1872,plain,
( ! [X0] :
( ~ mem(X0,s(s(s(e))))
| mem(X0,u(s(e),s(s(e))))
| u(s(e),s(s(e))) = X0 )
| ~ spl17_23 ),
inference(resolution,[],[f1859,f93]) ).
fof(f1885,plain,
( mem(s(s(e)),u(s(e),s(s(e))))
| s(s(e)) = u(s(e),s(s(e)))
| ~ spl17_23 ),
inference(resolution,[],[f1872,f172]) ).
fof(f1899,definition,
( spl17_35
<=> s(s(e)) = u(s(e),s(s(e))) ),
introduced(definition,[new_symbols(definition,[spl17_35])],[avatar_definition]) ).
fof(f1900,plain,
( s(s(e)) = u(s(e),s(s(e)))
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1902,definition,
( spl17_36
<=> mem(s(s(e)),u(s(e),s(s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_36])],[avatar_definition]) ).
fof(f1903,plain,
( mem(s(s(e)),u(s(e),s(s(e))))
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f1933,plain,
( mem(e,s(s(e)))
| ~ spl17_35 ),
inference(superposition,[],[f274,f1900]) ).
fof(f2090,plain,
( e = s(e)
| ~ spl17_35 ),
inference(resolution,[],[f1933,f93]) ).
fof(f2093,plain,
( ~ subq(u(u(u(u(u(e,e),s(u(e,e))),s(u(s(u(e,e)),s(s(u(e,e)))))),s(u(s(s(u(e,e))),s(u(u(e,e),s(u(e,e))))))),s(p(u(u(e,e),s(u(e,e)))))),u(m(p(u(u(s(u(e,e)),s(s(u(e,e)))),s(u(u(e,e),s(u(e,e)))))),u(s(s(s(u(e,e)))),p(u(u(u(e,e),s(u(e,e))),s(u(u(e,e),s(u(e,e)))))))),u(u(u(e,e),s(u(e,e))),s(p(u(u(e,e),s(u(e,e))))))))
| ~ spl17_35 ),
inference(superposition,[],[f171,f2090]) ).
fof(f2189,plain,
( ~ subq(u(u(u(u(e,s(e)),s(u(s(e),s(s(e))))),s(u(s(s(e)),s(u(e,s(e)))))),s(p(u(e,s(e))))),u(m(p(u(u(s(e),s(s(e))),s(u(e,s(e))))),u(s(s(s(e))),p(u(u(e,s(e)),s(u(e,s(e))))))),u(u(e,s(e)),s(p(u(e,s(e)))))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2093,f631]) ).
fof(f2215,plain,
( ~ subq(u(u(u(s(e),s(u(s(e),s(s(e))))),s(u(s(s(e)),s(s(e))))),s(p(s(e)))),u(m(p(u(u(s(e),s(s(e))),s(s(e)))),u(s(s(s(e))),p(u(s(e),s(s(e)))))),u(s(e),s(p(s(e))))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2189,f633]) ).
fof(f2235,plain,
( ~ subq(u(u(u(e,s(u(e,s(e)))),s(u(s(e),s(e)))),s(p(e))),u(m(p(u(u(e,s(e)),s(e))),u(s(s(e)),p(u(e,s(e))))),u(e,s(p(e)))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2215,f2090]) ).
fof(f2253,plain,
( ~ subq(u(u(u(e,s(u(e,s(e)))),s(u(s(e),s(e)))),s(p(e))),u(m(p(u(u(e,s(e)),s(e))),u(s(s(e)),p(u(e,s(e))))),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2235,f633]) ).
fof(f2272,plain,
( ~ subq(u(u(u(e,s(s(e))),s(u(s(e),s(e)))),s(p(e))),u(m(p(u(s(e),s(e))),u(s(s(e)),p(s(e)))),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2253,f633]) ).
fof(f2289,plain,
( ~ subq(u(u(u(e,s(e)),s(u(e,e))),s(p(e))),u(m(p(u(e,e)),u(s(e),p(e))),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2272,f2090]) ).
fof(f2301,plain,
( ~ subq(u(u(u(e,e),s(u(e,e))),s(p(e))),u(m(p(u(e,e)),u(e,p(e))),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2289,f2090]) ).
fof(f2313,plain,
( ~ subq(u(u(u(e,e),s(u(e,e))),s(p(e))),u(m(p(u(e,e)),p(e)),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2301,f633]) ).
fof(f2323,plain,
( ~ subq(u(u(e,s(e)),s(p(e))),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2313,f631]) ).
fof(f2332,plain,
( ~ subq(u(s(e),s(p(e))),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2323,f633]) ).
fof(f2341,plain,
( ~ subq(u(e,s(p(e))),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2332,f2090]) ).
fof(f2349,plain,
( ~ subq(s(p(e)),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_35 ),
inference(forward_demodulation,[],[f2341,f633]) ).
fof(f2359,plain,
( $false
| ~ spl17_35 ),
inference(forward_subsumption_resolution,[],[f2349,f191]) ).
fof(f2360,plain,
~ spl17_35,
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2361,plain,
( mem(s(s(e)),s(s(e)))
| mem(s(s(e)),s(e))
| ~ spl17_36 ),
inference(resolution,[],[f1903,f95]) ).
fof(f2365,definition,
( spl17_37
<=> mem(s(s(e)),s(e)) ),
introduced(definition,[new_symbols(definition,[spl17_37])],[avatar_definition]) ).
fof(f2366,plain,
( mem(s(s(e)),s(e))
| ~ spl17_37 ),
inference(avatar_component_clause,[],[f2365]) ).
fof(f2367,plain,
( mem(s(s(e)),s(s(e)))
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f2368,plain,
( spl17_37
| spl17_21
| ~ spl17_36 ),
inference(avatar_split_clause,[],[f2361,f1902,f1168,f2365]) ).
fof(f2369,plain,
( e = s(s(e))
| ~ spl17_37 ),
inference(resolution,[],[f2366,f93]) ).
fof(f2393,plain,
( ~ subq(e,s(e))
| spl17_29
| ~ spl17_37 ),
inference(superposition,[],[f1529,f2369]) ).
fof(f2435,plain,
( $false
| spl17_29
| ~ spl17_37 ),
inference(forward_subsumption_resolution,[],[f2393,f178]) ).
fof(f2436,plain,
( spl17_29
| ~ spl17_37 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2576,plain,
( s(e) = s(s(e))
| ~ spl17_21 ),
inference(resolution,[],[f2367,f93]) ).
fof(f2579,plain,
( spl17_27
| ~ spl17_21 ),
inference(avatar_split_clause,[],[f2576,f1168,f1466]) ).
fof(f2751,plain,
( s(s(e)) = u(s(e),s(s(e)))
| ~ spl17_22 ),
inference(resolution,[],[f1210,f93]) ).
fof(f2754,plain,
( spl17_35
| ~ spl17_22 ),
inference(avatar_split_clause,[],[f2751,f1180,f1899]) ).
fof(f2755,plain,
( spl17_35
| spl17_36
| ~ spl17_23 ),
inference(avatar_split_clause,[],[f1885,f1183,f1902,f1899]) ).
fof(f2792,plain,
( ~ subq(s(e),s(e))
| ~ spl17_27
| spl17_29 ),
inference(superposition,[],[f1529,f1467]) ).
fof(f2820,plain,
( $false
| ~ spl17_27
| spl17_29 ),
inference(forward_subsumption_resolution,[],[f2792,f176]) ).
fof(f2821,plain,
( ~ spl17_27
| spl17_29 ),
inference(avatar_contradiction_clause,[],[f2820]) ).
fof(f2956,plain,
( mem(u(s(s(e)),s(s(s(e)))),u(s(s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))))
| spl17_5
| ~ spl17_7
| ~ spl17_9 ),
inference(forward_demodulation,[],[f908,f970]) ).
fof(f2959,plain,
( mem(s(e),s(e))
| ~ spl17_29 ),
inference(resolution,[],[f1520,f219]) ).
fof(f2976,plain,
( e = s(e)
| ~ spl17_29 ),
inference(resolution,[],[f2959,f93]) ).
fof(f2979,plain,
( ~ subq(u(u(u(u(u(e,e),s(u(e,e))),s(u(s(u(e,e)),s(s(u(e,e)))))),s(u(s(s(u(e,e))),s(u(u(e,e),s(u(e,e))))))),s(p(u(u(e,e),s(u(e,e)))))),u(m(p(u(u(s(u(e,e)),s(s(u(e,e)))),s(u(u(e,e),s(u(e,e)))))),u(s(s(s(u(e,e)))),p(u(u(u(e,e),s(u(e,e))),s(u(u(e,e),s(u(e,e)))))))),u(u(u(e,e),s(u(e,e))),s(p(u(u(e,e),s(u(e,e))))))))
| ~ spl17_29 ),
inference(superposition,[],[f171,f2976]) ).
fof(f3042,plain,
( ~ subq(u(u(u(u(e,s(e)),s(u(s(e),s(s(e))))),s(u(s(s(e)),s(u(e,s(e)))))),s(p(u(e,s(e))))),u(m(p(u(u(s(e),s(s(e))),s(u(e,s(e))))),u(s(s(s(e))),p(u(u(e,s(e)),s(u(e,s(e))))))),u(u(e,s(e)),s(p(u(e,s(e)))))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f2979,f631]) ).
fof(f3056,plain,
( ~ subq(u(u(u(s(e),s(u(s(e),s(s(e))))),s(u(s(s(e)),s(s(e))))),s(p(s(e)))),u(m(p(u(u(s(e),s(s(e))),s(s(e)))),u(s(s(s(e))),p(u(s(e),s(s(e)))))),u(s(e),s(p(s(e))))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3042,f633]) ).
fof(f3069,plain,
( ~ subq(u(u(u(e,s(u(e,s(e)))),s(u(s(e),s(e)))),s(p(e))),u(m(p(u(u(e,s(e)),s(e))),u(s(s(e)),p(u(e,s(e))))),u(e,s(p(e)))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3056,f2976]) ).
fof(f3081,plain,
( ~ subq(u(u(u(e,s(u(e,s(e)))),s(u(s(e),s(e)))),s(p(e))),u(m(p(u(u(e,s(e)),s(e))),u(s(s(e)),p(u(e,s(e))))),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3069,f633]) ).
fof(f3091,plain,
( ~ subq(u(u(u(e,s(s(e))),s(u(s(e),s(e)))),s(p(e))),u(m(p(u(s(e),s(e))),u(s(s(e)),p(s(e)))),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3081,f633]) ).
fof(f3101,plain,
( ~ subq(u(u(u(e,s(e)),s(u(e,e))),s(p(e))),u(m(p(u(e,e)),u(s(e),p(e))),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3091,f2976]) ).
fof(f3109,plain,
( ~ subq(u(u(u(e,e),s(u(e,e))),s(p(e))),u(m(p(u(e,e)),u(e,p(e))),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3101,f2976]) ).
fof(f3117,plain,
( ~ subq(u(u(u(e,e),s(u(e,e))),s(p(e))),u(m(p(u(e,e)),p(e)),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3109,f633]) ).
fof(f3125,plain,
( ~ subq(u(u(e,s(e)),s(p(e))),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3117,f631]) ).
fof(f3133,plain,
( ~ subq(u(s(e),s(p(e))),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3125,f633]) ).
fof(f3141,plain,
( ~ subq(u(e,s(p(e))),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3133,f2976]) ).
fof(f3144,plain,
( ~ subq(s(p(e)),u(m(p(e),p(e)),s(p(e))))
| ~ spl17_29 ),
inference(forward_demodulation,[],[f3141,f633]) ).
fof(f3145,plain,
( $false
| ~ spl17_29 ),
inference(forward_subsumption_resolution,[],[f3144,f191]) ).
fof(f3146,plain,
~ spl17_29,
inference(avatar_contradiction_clause,[],[f3145]) ).
fof(f3167,plain,
( mem(u(s(s(e)),s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| mem(u(s(s(e)),s(s(s(e)))),s(s(s(s(e)))))
| spl17_5
| ~ spl17_7
| ~ spl17_9 ),
inference(resolution,[],[f2956,f95]) ).
fof(f3171,definition,
( spl17_41
<=> mem(u(s(s(e)),s(s(s(e)))),s(s(s(s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_41])],[avatar_definition]) ).
fof(f3172,plain,
( mem(u(s(s(e)),s(s(s(e)))),s(s(s(s(e)))))
| ~ spl17_41 ),
inference(avatar_component_clause,[],[f3171]) ).
fof(f3174,definition,
( spl17_42
<=> mem(u(s(s(e)),s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl17_42])],[avatar_definition]) ).
fof(f3175,plain,
( mem(u(s(s(e)),s(s(s(e)))),p(u(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))))
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f3174]) ).
fof(f3176,plain,
( spl17_41
| spl17_42
| spl17_5
| ~ spl17_7
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f3167,f931,f907,f899,f3174,f3171]) ).
fof(f3181,plain,
( subq(u(s(s(e)),s(s(s(e)))),u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ spl17_42 ),
inference(resolution,[],[f3175,f105]) ).
fof(f3421,plain,
( ! [X0] :
( mem(X0,u(u(s(e),s(s(e))),s(u(s(e),s(s(e))))))
| ~ mem(X0,s(s(s(e)))) )
| ~ spl17_42 ),
inference(resolution,[],[f221,f3181]) ).
fof(f3437,plain,
( ! [X0] :
( mem(X0,s(u(s(e),s(s(e)))))
| ~ mem(X0,s(s(s(e))))
| mem(X0,u(s(e),s(s(e)))) )
| ~ spl17_42 ),
inference(resolution,[],[f3421,f95]) ).
fof(f3450,plain,
( ! [X0] :
( mem(X0,u(s(e),s(s(e))))
| ~ mem(X0,s(s(s(e))))
| u(s(e),s(s(e))) = X0 )
| ~ spl17_42 ),
inference(resolution,[],[f3437,f93]) ).
fof(f3466,plain,
( s(s(s(e))) = u(s(s(e)),s(s(s(e))))
| ~ spl17_41 ),
inference(resolution,[],[f3172,f93]) ).
fof(f3501,plain,
( ! [X0] :
( mem(X0,s(s(s(e))))
| ~ mem(X0,s(s(e))) )
| ~ spl17_41 ),
inference(superposition,[],[f97,f3466]) ).
fof(f3534,plain,
( ! [X0] :
( ~ mem(X0,s(s(e)))
| s(s(e)) = X0 )
| ~ spl17_41 ),
inference(resolution,[],[f3501,f93]) ).
fof(f3547,plain,
( s(e) = s(s(e))
| ~ spl17_41 ),
inference(resolution,[],[f3534,f172]) ).
fof(f3563,plain,
( spl17_27
| ~ spl17_41 ),
inference(avatar_split_clause,[],[f3547,f3171,f1466]) ).
fof(f3571,plain,
( ! [X0] :
( ~ mem(X0,s(s(s(e))))
| u(s(e),s(s(e))) = X0
| mem(X0,s(s(e)))
| mem(X0,s(e)) )
| ~ spl17_42 ),
inference(resolution,[],[f3450,f95]) ).
fof(f3596,plain,
( s(s(e)) = u(s(e),s(s(e)))
| mem(s(s(e)),s(s(e)))
| mem(s(s(e)),s(e))
| ~ spl17_42 ),
inference(resolution,[],[f3571,f172]) ).
fof(f3612,plain,
( s(s(e)) = u(s(e),s(s(e)))
| mem(s(s(e)),s(e))
| spl17_21
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f3596,f1169]) ).
fof(f3614,plain,
( spl17_37
| spl17_35
| spl17_21
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f3612,f3174,f1168,f1899,f2365]) ).
fof(f3620,plain,
( spl17_13
| spl17_14
| spl17_8
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f1033,f934,f910,f1040,f1037]) ).
fof(f3694,plain,
( ~ mem(u(s(e),s(s(e))),s(u(s(e),s(s(e)))))
| subq(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| ~ spl17_14 ),
inference(superposition,[],[f186,f1041]) ).
fof(f3701,plain,
( subq(u(s(s(s(e))),s(u(s(e),s(s(e))))),u(u(s(s(e)),s(s(s(e)))),s(u(s(e),s(s(e))))))
| ~ spl17_14 ),
inference(forward_subsumption_resolution,[],[f3694,f172]) ).
fof(f3707,plain,
( $false
| spl17_8
| ~ spl17_10
| ~ spl17_14 ),
inference(forward_subsumption_resolution,[],[f3701,f1030]) ).
fof(f3708,plain,
( spl17_8
| ~ spl17_10
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f3707]) ).
cnf(s3,plain,
( spl17_3
| ~ spl17_5 ),
inference(sat_conversion,[],[f901]) ).
cnf(s5,plain,
( spl17_3
| spl17_7
| ~ spl17_8 ),
inference(sat_conversion,[],[f912]) ).
cnf(s6,plain,
( spl17_5
| spl17_9
| spl17_10 ),
inference(sat_conversion,[],[f936]) ).
cnf(s12,plain,
( spl17_5
| spl17_8
| ~ spl17_9 ),
inference(sat_conversion,[],[f980]) ).
cnf(s14,plain,
~ spl17_3,
inference(sat_conversion,[],[f1052]) ).
cnf(s19,plain,
( spl17_8
| ~ spl17_10
| ~ spl17_13 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s29,plain,
( ~ spl17_7
| ~ spl17_10
| spl17_15 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s32,plain,
( ~ spl17_15
| spl17_22
| spl17_23 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s63,plain,
~ spl17_35,
inference(sat_conversion,[],[f2360]) ).
cnf(s64,plain,
( spl17_21
| ~ spl17_36
| spl17_37 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s66,plain,
( spl17_29
| ~ spl17_37 ),
inference(sat_conversion,[],[f2436]) ).
cnf(s75,plain,
( ~ spl17_21
| spl17_27 ),
inference(sat_conversion,[],[f2579]) ).
cnf(s78,plain,
( ~ spl17_22
| spl17_35 ),
inference(sat_conversion,[],[f2754]) ).
cnf(s80,plain,
( ~ spl17_23
| spl17_35
| spl17_36 ),
inference(sat_conversion,[],[f2755]) ).
cnf(s82,plain,
( ~ spl17_27
| spl17_29 ),
inference(sat_conversion,[],[f2821]) ).
cnf(s99,plain,
~ spl17_29,
inference(sat_conversion,[],[f3146]) ).
cnf(s100,plain,
( spl17_5
| ~ spl17_7
| ~ spl17_9
| spl17_41
| spl17_42 ),
inference(sat_conversion,[],[f3176]) ).
cnf(s105,plain,
( spl17_27
| ~ spl17_41 ),
inference(sat_conversion,[],[f3563]) ).
cnf(s109,plain,
( spl17_21
| spl17_35
| spl17_37
| ~ spl17_42 ),
inference(sat_conversion,[],[f3614]) ).
cnf(s112,plain,
( spl17_8
| ~ spl17_10
| spl17_13
| spl17_14 ),
inference(sat_conversion,[],[f3620]) ).
cnf(s120,plain,
( spl17_8
| ~ spl17_10
| ~ spl17_14 ),
inference(sat_conversion,[],[f3708]) ).
cnf(s122,plain,
~ spl17_27,
inference(rat,[],[s82,s99]) ).
cnf(s123,plain,
~ spl17_41,
inference(rat,[],[s105,s122]) ).
cnf(s124,plain,
~ spl17_21,
inference(rat,[],[s75,s122]) ).
cnf(s125,plain,
~ spl17_37,
inference(rat,[],[s66,s99]) ).
cnf(s126,plain,
~ spl17_36,
inference(rat,[],[s64,s125,s124]) ).
cnf(s127,plain,
~ spl17_42,
inference(rat,[],[s109,s125,s124,s63]) ).
cnf(s128,plain,
~ spl17_23,
inference(rat,[],[s80,s126,s63]) ).
cnf(s129,plain,
~ spl17_22,
inference(rat,[],[s78,s63]) ).
cnf(s132,plain,
~ spl17_15,
inference(rat,[],[s32,s128,s129]) ).
cnf(s135,plain,
( ~ spl17_7
| ~ spl17_10 ),
inference(rat,[],[s29,s132]) ).
cnf(s139,plain,
( spl17_7
| ~ spl17_8 ),
inference(rat,[],[s5,s14]) ).
cnf(s141,plain,
~ spl17_5,
inference(rat,[],[s3,s14]) ).
cnf(s143,plain,
( ~ spl17_10
| spl17_14
| spl17_8 ),
inference(rat,[],[s19,s112]) ).
cnf(s144,plain,
( ~ spl17_10
| spl17_8 ),
inference(rat,[],[s143,s120]) ).
cnf(s145,plain,
spl17_8,
inference(rat,[],[s144,s6,s12,s141]) ).
cnf(s146,plain,
spl17_7,
inference(rat,[],[s139,s145]) ).
cnf(s147,plain,
~ spl17_9,
inference(rat,[],[s100,s127,s123,s141,s146]) ).
cnf(s148,plain,
~ spl17_10,
inference(rat,[],[s135,s146]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s6,s141,s148,s147]) ).
fof(f3709,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV577+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 06:39:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 10.34/2.07 % (3772609)Detected formulas, will run a generic FOF schedule.
% 10.34/2.07 % (3772619)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4288282320:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.34/2.07 % (3772618)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2900303123:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.34/2.07 % (3772616)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=3165573174:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.34/2.07 % (3772614)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=2962956612:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.34/2.07 % (3772620)dis-21_1_sil=8000:lcm=predicate:random_seed=3477058784: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)
% 10.34/2.07 % (3772615)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=3227207247:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.34/2.08 % (3772617)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=951540535:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.34/2.08 % (3772617)Refutation not found, incomplete strategy
% 10.34/2.08 % (3772617)------------------------------
% 10.34/2.08 % (3772617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772617)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772617)Termination reason: Refutation not found, incomplete strategy
% 10.34/2.08 % (3772617)Time elapsed: 0.001 s
% 10.34/2.08 % (3772617)Peak memory usage: 88 MB
% 10.34/2.08 % (3772617)Instructions burned: 1 (million)
% 10.34/2.08 % (3772620)Instruction limit reached!
% 10.34/2.08 % (3772620)------------------------------
% 10.34/2.08 % (3772620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772620)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772620)Termination reason: Instruction limit
% 10.34/2.08 % (3772620)Termination phase: Saturation
% 10.34/2.08 % (3772620)Time elapsed: 0.068 s
% 10.34/2.08 % (3772620)Peak memory usage: 89 MB
% 10.34/2.08 % (3772620)Instructions burned: 130 (million)
% 10.34/2.08 % (3772618)Instruction limit reached!
% 10.34/2.08 % (3772618)------------------------------
% 10.34/2.08 % (3772618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772618)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772618)Termination reason: Instruction limit
% 10.34/2.08 % (3772618)Termination phase: Saturation
% 10.34/2.08 % (3772618)Time elapsed: 0.070 s
% 10.34/2.08 % (3772618)Peak memory usage: 88 MB
% 10.34/2.08 % (3772618)Instructions burned: 119 (million)
% 10.34/2.08 % (3772619)Instruction limit reached!
% 10.34/2.08 % (3772619)------------------------------
% 10.34/2.08 % (3772619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772619)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772619)Termination reason: Instruction limit
% 10.34/2.08 % (3772619)Termination phase: Saturation
% 10.34/2.08 % (3772619)Time elapsed: 0.089 s
% 10.34/2.08 % (3772619)Peak memory usage: 89 MB
% 10.34/2.08 % (3772619)Instructions burned: 139 (million)
% 10.34/2.08 % (3772630)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1248231649:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.34/2.08 % (3772628)lrs+10_1_sil=8000:sp=occurrence:random_seed=1374183336:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.34/2.08 % (3772629)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2715071669:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.34/2.08 % (3772617)------------------------------
% 10.34/2.08 % (3772617)------------------------------
% 10.34/2.08 % (3772629)Instruction limit reached!
% 10.34/2.08 % (3772629)------------------------------
% 10.34/2.08 % (3772629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772629)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772629)Termination reason: Instruction limit
% 10.34/2.08 % (3772629)Termination phase: Saturation
% 10.34/2.08 % (3772629)Time elapsed: 0.081 s
% 10.34/2.08 % (3772629)Peak memory usage: 90 MB
% 10.34/2.08 % (3772629)Instructions burned: 158 (million)
% 10.34/2.08 % (3772630)Instruction limit reached!
% 10.34/2.08 % (3772630)------------------------------
% 10.34/2.08 % (3772630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772630)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772630)Termination reason: Instruction limit
% 10.34/2.08 % (3772630)Termination phase: Saturation
% 10.34/2.08 % (3772630)Time elapsed: 0.110 s
% 10.34/2.08 % (3772630)Peak memory usage: 91 MB
% 10.34/2.08 % (3772630)Instructions burned: 326 (million)
% 10.34/2.08 % (3772628)Instruction limit reached!
% 10.34/2.08 % (3772628)------------------------------
% 10.34/2.08 % (3772628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772628)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772628)Termination reason: Instruction limit
% 10.34/2.08 % (3772628)Termination phase: Saturation
% 10.34/2.08 % (3772628)Time elapsed: 0.182 s
% 10.34/2.08 % (3772628)Peak memory usage: 91 MB
% 10.34/2.08 % (3772628)Instructions burned: 286 (million)
% 10.34/2.08 % (3772634)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=2997566867:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.34/2.08 % (3772636)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4052888507:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.34/2.08 % (3772635)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3976900237:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.34/2.08 % (3772635)Refutation not found, incomplete strategy
% 10.34/2.08 % (3772635)------------------------------
% 10.34/2.08 % (3772635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772635)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772635)Termination reason: Refutation not found, incomplete strategy
% 10.34/2.08 % (3772635)Time elapsed: 0.001 s
% 10.34/2.08 % (3772635)Peak memory usage: 88 MB
% 10.34/2.08 % (3772635)Instructions burned: 1 (million)
% 10.34/2.08 % (3772634)Instruction limit reached!
% 10.34/2.08 % (3772634)------------------------------
% 10.34/2.08 % (3772634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772634)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772634)Termination reason: Instruction limit
% 10.34/2.08 % (3772634)Termination phase: Saturation
% 10.34/2.08 % (3772634)Time elapsed: 0.138 s
% 10.34/2.08 % (3772634)Peak memory usage: 91 MB
% 10.34/2.08 % (3772634)Instructions burned: 248 (million)
% 10.34/2.08 % (3772637)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3479808530:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.34/2.08 % (3772637)Instruction limit reached!
% 10.34/2.08 % (3772637)------------------------------
% 10.34/2.08 % (3772637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772637)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772637)Termination reason: Instruction limit
% 10.34/2.08 % (3772637)Termination phase: Saturation
% 10.34/2.08 % (3772637)Time elapsed: 0.062 s
% 10.34/2.08 % (3772637)Peak memory usage: 89 MB
% 10.34/2.08 % (3772637)Instructions burned: 114 (million)
% 10.34/2.08 % (3772635)------------------------------
% 10.34/2.08 % (3772635)------------------------------
% 10.34/2.08 % (3772641)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2499868022:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.34/2.08 % (3772641)Instruction limit reached!
% 10.34/2.08 % (3772641)------------------------------
% 10.34/2.08 % (3772641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772641)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772641)Termination reason: Instruction limit
% 10.34/2.08 % (3772641)Termination phase: Saturation
% 10.34/2.08 % (3772641)Time elapsed: 0.057 s
% 10.34/2.08 % (3772641)Peak memory usage: 88 MB
% 10.34/2.08 % (3772641)Instructions burned: 129 (million)
% 10.34/2.08 % (3772643)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=142255377:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.34/2.08 % (3772643)Instruction limit reached!
% 10.34/2.08 % (3772643)------------------------------
% 10.34/2.08 % (3772643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772643)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772643)Termination reason: Instruction limit
% 10.34/2.08 % (3772643)Termination phase: Saturation
% 10.34/2.08 % (3772643)Time elapsed: 0.053 s
% 10.34/2.08 % (3772643)Peak memory usage: 88 MB
% 10.34/2.08 % (3772643)Instructions burned: 114 (million)
% 10.34/2.08 % (3772644)lrs+10_1_sil=8000:sp=occurrence:random_seed=751997162:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.34/2.08 % (3772646)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3566988753:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.34/2.08 % (3772646)Refutation not found, incomplete strategy
% 10.34/2.08 % (3772646)------------------------------
% 10.34/2.08 % (3772646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.08 % (3772646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.08 % (3772646)CaDiCaL version: 2.1.3
% 10.34/2.08 % (3772646)Termination reason: Refutation not found, incomplete strategy
% 10.34/2.08 % (3772646)Time elapsed: 0.001 s
% 10.34/2.08 % (3772646)Peak memory usage: 88 MB
% 10.34/2.08 % (3772646)Instructions burned: 1 (million)
% 10.34/2.08 % (3772648)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4169591165:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.34/2.08 % (3772615)First to succeed.
% 10.34/2.08 % (3772615)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3772609"
% 10.34/2.08 % (3772646)------------------------------
% 10.34/2.08 % (3772646)------------------------------
% 10.34/2.08 % (3772615)Refutation found. Thanks to Tanya!
% 10.34/2.08 % SZS status Theorem for theBenchmark
% 10.34/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 10.78/2.28 % (3772615)------------------------------
% 10.78/2.28 % (3772615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.28 % (3772615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.28 % (3772615)CaDiCaL version: 2.1.3
% 10.78/2.28 % (3772615)Termination reason: Refutation
% 10.78/2.28 % (3772615)Time elapsed: 1.048 s
% 10.78/2.28 % (3772615)Peak memory usage: 133 MB
% 10.78/2.28 % (3772615)Instructions burned: 1597 (million)
% 10.78/2.28 % (3772615)------------------------------
% 10.78/2.28 % (3772615)------------------------------
% 10.78/2.28 % (3772609)Success in time 1.473 s
% 10.78/2.28 % Vampire exiting
%------------------------------------------------------------------------------