%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV549+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:58:18 PM UTC 2026
% Result : Theorem 5.27s 1.76s
% Output : Refutation 7.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 61
% Syntax : Number of formulae : 259 ( 46 unt; 33 def)
% Number of atoms : 666 ( 80 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 729 ( 322 ~; 330 |; 32 &)
% ( 41 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 14 ( 4 avg)
% Number of predicates : 40 ( 38 usr; 34 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 83 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_def) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_ax) ).
fof(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast3p_def) ).
fof(f13,axiom,
! [X0] :
( atleast4p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast4p_def) ).
fof(f26,conjecture,
~ atleast4p(u(s(n(n(e))),n(s(s(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atmost3_28) ).
fof(f27,negated_conjecture,
~ ~ atleast4p(u(s(n(n(e))),n(s(s(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
atleast4p(u(s(n(n(e))),n(s(s(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( atleast4p(X0)
=> ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f30,plain,
! [X0] :
( atleast3p(X0)
=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f31,plain,
! [X0] :
( atleast2p(X0)
=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) )
| ~ atleast4p(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) )
| ~ atleast3p(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) )
| ~ atleast2p(X0) ),
inference(ennf_transformation,[],[f31]) ).
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] :
( ( subq(sK0(X0),X0)
& atleast3p(sK0(X0))
& ~ subq(X0,sK0(X0)) )
| ~ atleast4p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f32]) ).
fof(f42,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,[],[f33]) ).
fof(f43,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,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK1(X0,X1),X1)
& mem(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f43]) ).
fof(f45,plain,
! [X0] :
( ( subq(sK2(X0),X0)
& atleast2p(sK2(X0))
& ~ subq(X0,sK2(X0)) )
| ~ atleast3p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f36]) ).
fof(f46,plain,
! [X0] :
( ( mem(sK3(X0),X0)
& ~ subq(X0,p(sK3(X0))) )
| ~ atleast2p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f37]) ).
fof(f47,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f48,plain,
atleast4p(u(s(n(n(e))),n(s(s(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f51,plain,
! [X0,X1] :
( X0 = X1
| ~ mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X2,X0,X1] :
( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
! [X0] :
( ~ subq(X0,sK0(X0))
| ~ atleast4p(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X0] :
( atleast3p(sK0(X0))
| ~ atleast4p(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f59,plain,
! [X0] :
( subq(sK0(X0),X0)
| ~ atleast4p(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
! [X3,X0,X1] :
( mem(X3,X1)
| ~ mem(X3,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X0,X1] :
( subq(X0,X1)
| mem(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X0,X1] :
( subq(X0,X1)
| ~ mem(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f64,plain,
! [X0] :
( ~ subq(X0,sK2(X0))
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f65,plain,
! [X0] :
( atleast2p(sK2(X0))
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f66,plain,
! [X0] :
( subq(sK2(X0),X0)
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f67,plain,
! [X0] :
( ~ subq(X0,p(sK3(X0)))
| ~ atleast2p(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f68,plain,
! [X0] :
( mem(sK3(X0),X0)
| ~ atleast2p(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f56,f50]) ).
fof(f72,plain,
atleast4p(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),
inference(definition_unfolding,[],[f48,f71,f71,f71,f71]) ).
fof(f74,definition,
( spl4_1
<=> atleast4p(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f76,plain,
( atleast4p(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
spl4_1,
inference(avatar_split_clause,[],[f72,f74]) ).
fof(f78,plain,
( ~ subq(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_1 ),
inference(resolution,[],[f76,f57]) ).
fof(f79,plain,
( atleast3p(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_1 ),
inference(resolution,[],[f76,f58]) ).
fof(f80,plain,
( subq(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))
| ~ spl4_1 ),
inference(resolution,[],[f76,f59]) ).
fof(f82,definition,
( spl4_2
<=> subq(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f84,plain,
( subq(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl4_2
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f80,f74,f82]) ).
fof(f87,definition,
( spl4_3
<=> atleast3p(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f89,plain,
( atleast3p(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl4_3
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f79,f74,f87]) ).
fof(f92,definition,
( spl4_4
<=> subq(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f94,plain,
( ~ subq(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| spl4_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( ~ spl4_4
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f78,f74,f92]) ).
fof(f96,plain,
( ~ subq(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_3 ),
inference(resolution,[],[f89,f64]) ).
fof(f97,plain,
( atleast2p(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_3 ),
inference(resolution,[],[f89,f65]) ).
fof(f98,plain,
( subq(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_3 ),
inference(resolution,[],[f89,f66]) ).
fof(f100,definition,
( spl4_5
<=> subq(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f102,plain,
( subq(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl4_5
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f98,f87,f100]) ).
fof(f105,definition,
( spl4_6
<=> atleast2p(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f107,plain,
( atleast2p(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
( spl4_6
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f97,f87,f105]) ).
fof(f110,definition,
( spl4_7
<=> subq(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f112,plain,
( ~ subq(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| spl4_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( ~ spl4_7
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f96,f87,f110]) ).
fof(f117,plain,
( ! [X0] :
( mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))
| ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) )
| ~ spl4_2 ),
inference(resolution,[],[f84,f60]) ).
fof(f126,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))
| spl4_4 ),
inference(resolution,[],[f94,f61]) ).
fof(f127,plain,
( ~ mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| spl4_4 ),
inference(resolution,[],[f94,f62]) ).
fof(f129,definition,
( spl4_9
<=> mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f131,plain,
( ~ mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| spl4_9 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( ~ spl4_9
| spl4_4 ),
inference(avatar_split_clause,[],[f127,f92,f129]) ).
fof(f134,definition,
( spl4_10
<=> mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f136,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl4_10
| spl4_4 ),
inference(avatar_split_clause,[],[f126,f92,f134]) ).
fof(f139,plain,
( ~ subq(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| ~ spl4_6 ),
inference(resolution,[],[f107,f67]) ).
fof(f140,plain,
( mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_6 ),
inference(resolution,[],[f107,f68]) ).
fof(f142,definition,
( spl4_11
<=> mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f144,plain,
( mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl4_11
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f140,f105,f142]) ).
fof(f147,definition,
( spl4_12
<=> subq(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f149,plain,
( ~ subq(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| spl4_12 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( ~ spl4_12
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f139,f105,f147]) ).
fof(f154,plain,
( ! [X0] :
( mem(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(X0,sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) )
| ~ spl4_5 ),
inference(resolution,[],[f102,f60]) ).
fof(f163,plain,
( mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| spl4_7 ),
inference(resolution,[],[f112,f61]) ).
fof(f164,plain,
( ~ mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| spl4_7 ),
inference(resolution,[],[f112,f62]) ).
fof(f166,definition,
( spl4_14
<=> mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f169,plain,
( ~ spl4_14
| spl4_7 ),
inference(avatar_split_clause,[],[f164,f110,f166]) ).
fof(f171,definition,
( spl4_15
<=> mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f173,plain,
( mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,plain,
( spl4_15
| spl4_7 ),
inference(avatar_split_clause,[],[f163,f110,f171]) ).
fof(f176,plain,
( ! [X0] :
( ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))) )
| ~ spl4_2 ),
inference(resolution,[],[f117,f53]) ).
fof(f181,plain,
( ! [X0] :
( mem(X0,u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 )
| ~ spl4_2 ),
inference(forward_literal_rewriting,[],[f176,f51]) ).
fof(f182,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| ~ spl4_10 ),
inference(resolution,[],[f136,f53]) ).
fof(f186,plain,
( u(u(e,s(e)),s(u(e,s(e)))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| ~ spl4_10 ),
inference(forward_literal_rewriting,[],[f182,f51]) ).
fof(f188,definition,
( spl4_16
<=> mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f190,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl4_17
<=> u(u(e,s(e)),s(u(e,s(e)))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f195,plain,
( spl4_16
| spl4_17
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f186,f134,f192,f188]) ).
fof(f196,plain,
( ! [X0] :
( ~ subq(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),X0) )
| spl4_9 ),
inference(resolution,[],[f131,f60]) ).
fof(f199,plain,
( ! [X0] :
( ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(s(s(u(e,s(e)))))) )
| ~ spl4_2 ),
inference(resolution,[],[f181,f53]) ).
fof(f204,plain,
( ! [X0] :
( s(u(e,s(e))) = X0
| ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| mem(X0,s(s(s(u(e,s(e)))))) )
| ~ spl4_2 ),
inference(forward_literal_rewriting,[],[f199,f51]) ).
fof(f205,plain,
( ! [X0] :
( ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| s(u(e,s(e))) = X0
| s(s(u(e,s(e)))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0 )
| ~ spl4_2 ),
inference(forward_literal_rewriting,[],[f204,f51]) ).
fof(f206,plain,
( ! [X0] :
( ~ subq(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),X0)
| mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),X0) )
| ~ spl4_11 ),
inference(resolution,[],[f144,f60]) ).
fof(f210,plain,
( mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| spl4_12 ),
inference(resolution,[],[f149,f61]) ).
fof(f211,plain,
( ~ mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| spl4_12 ),
inference(resolution,[],[f149,f62]) ).
fof(f212,plain,
( ~ subq(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))
| spl4_12 ),
inference(forward_literal_rewriting,[],[f211,f70]) ).
fof(f214,definition,
( spl4_18
<=> mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f216,plain,
( mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f217,plain,
( spl4_18
| spl4_12 ),
inference(avatar_split_clause,[],[f210,f147,f214]) ).
fof(f220,definition,
( spl4_19
<=> subq(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f222,plain,
( ~ subq(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))
| spl4_19 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f223,plain,
( ~ spl4_19
| spl4_12 ),
inference(avatar_split_clause,[],[f212,f147,f220]) ).
fof(f230,definition,
( spl4_20
<=> mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f255,definition,
( spl4_21
<=> s(u(e,s(e))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f257,plain,
( s(u(e,s(e))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl4_22
<=> s(s(u(e,s(e)))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f279,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),s(s(u(e,s(e)))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),s(s(s(u(e,s(e))))))
| ~ spl4_16 ),
inference(resolution,[],[f190,f53]) ).
fof(f283,plain,
( s(u(e,s(e))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),s(s(s(u(e,s(e))))))
| ~ spl4_16 ),
inference(forward_literal_rewriting,[],[f279,f51]) ).
fof(f284,plain,
( s(s(u(e,s(e)))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| s(u(e,s(e))) = sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_16 ),
inference(forward_literal_rewriting,[],[f283,f51]) ).
fof(f285,plain,
( spl4_21
| spl4_22
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f284,f188,f259,f255]) ).
fof(f315,plain,
( ~ mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ atleast3p(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| spl4_9 ),
inference(resolution,[],[f196,f66]) ).
fof(f316,plain,
( ~ spl4_3
| ~ spl4_20
| spl4_9 ),
inference(avatar_split_clause,[],[f315,f129,f230,f87]) ).
fof(f341,plain,
( ! [X0] :
( ~ mem(X0,sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(s(u(e,s(e)))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(u(e,s(e))) = X0 )
| ~ spl4_2
| ~ spl4_5 ),
inference(resolution,[],[f205,f154]) ).
fof(f345,plain,
( s(u(e,s(e))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(s(u(e,s(e)))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_2
| ~ spl4_15 ),
inference(resolution,[],[f205,f173]) ).
fof(f366,definition,
( spl4_31
<=> u(u(e,s(e)),s(u(e,s(e)))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_31])],[avatar_definition]) ).
fof(f370,definition,
( spl4_32
<=> s(s(u(e,s(e)))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_32])],[avatar_definition]) ).
fof(f374,definition,
( spl4_33
<=> s(u(e,s(e))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_33])],[avatar_definition]) ).
fof(f377,plain,
( spl4_31
| spl4_32
| spl4_33
| ~ spl4_2
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f345,f171,f82,f374,f370,f366]) ).
fof(f402,plain,
( ~ mem(s(u(e,s(e))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| spl4_9
| ~ spl4_21 ),
inference(superposition,[],[f131,f257]) ).
fof(f411,plain,
( ~ mem(s(u(e,s(e))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| subq(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_21 ),
inference(superposition,[],[f62,f257]) ).
fof(f413,definition,
( spl4_34
<=> mem(s(u(e,s(e))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
fof(f416,plain,
( spl4_4
| ~ spl4_34
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f411,f255,f413,f92]) ).
fof(f433,plain,
( ~ spl4_34
| spl4_9
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f402,f255,f129,f413]) ).
fof(f434,plain,
( u(u(e,s(e)),s(u(e,s(e)))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f436,plain,
( s(s(u(e,s(e)))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(s(u(e,s(e)))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f517,plain,
( mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ atleast3p(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ spl4_11 ),
inference(resolution,[],[f206,f66]) ).
fof(f524,definition,
( spl4_41
<=> mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_41])],[avatar_definition]) ).
fof(f528,plain,
( ~ spl4_3
| spl4_41
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f517,f142,f524,f87]) ).
fof(f814,plain,
( mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))))
| spl4_19 ),
inference(resolution,[],[f222,f61]) ).
fof(f815,plain,
( ~ mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))
| spl4_19 ),
inference(resolution,[],[f222,f62]) ).
fof(f817,definition,
( spl4_57
<=> mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_57])],[avatar_definition]) ).
fof(f820,plain,
( ~ spl4_57
| spl4_19 ),
inference(avatar_split_clause,[],[f815,f220,f817]) ).
fof(f822,definition,
( spl4_58
<=> mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_58])],[avatar_definition]) ).
fof(f825,plain,
( spl4_58
| spl4_19 ),
inference(avatar_split_clause,[],[f814,f220,f822]) ).
fof(f1104,plain,
( s(s(u(e,s(e)))) = sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) = sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| s(u(e,s(e))) = sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| ~ spl4_2
| ~ spl4_5
| ~ spl4_18 ),
inference(resolution,[],[f341,f216]) ).
fof(f1108,plain,
( s(s(u(e,s(e)))) = sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) = sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(u(e,s(e))) = sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ atleast2p(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ spl4_2
| ~ spl4_5 ),
inference(resolution,[],[f341,f68]) ).
fof(f1110,definition,
( spl4_63
<=> s(u(e,s(e))) = sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_63])],[avatar_definition]) ).
fof(f1114,definition,
( spl4_64
<=> u(u(e,s(e)),s(u(e,s(e)))) = sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_64])],[avatar_definition]) ).
fof(f1118,definition,
( spl4_65
<=> s(s(u(e,s(e)))) = sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_65])],[avatar_definition]) ).
fof(f1121,plain,
( ~ spl4_6
| spl4_63
| spl4_64
| spl4_65
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f1108,f100,f82,f1118,f1114,f1110,f105]) ).
fof(f1124,definition,
( spl4_66
<=> s(u(e,s(e))) = sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_66])],[avatar_definition]) ).
fof(f1128,definition,
( spl4_67
<=> u(u(e,s(e)),s(u(e,s(e)))) = sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_67])],[avatar_definition]) ).
fof(f1132,definition,
( spl4_68
<=> s(s(u(e,s(e)))) = sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))) ),
introduced(definition,[new_symbols(definition,[spl4_68])],[avatar_definition]) ).
fof(f1135,plain,
( spl4_66
| spl4_67
| spl4_68
| ~ spl4_2
| ~ spl4_5
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f1104,f214,f100,f82,f1132,f1128,f1124]) ).
fof(f1136,plain,
( s(u(e,s(e))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| s(u(e,s(e))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))))
| mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1137,plain,
( u(u(e,s(e)),s(u(e,s(e)))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1138,plain,
( u(u(e,s(e)),s(u(e,s(e)))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1140,plain,
( s(u(e,s(e))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| s(u(e,s(e))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1141,plain,
( s(u(e,s(e))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| s(u(e,s(e))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1143,plain,
( s(s(u(e,s(e)))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(s(u(e,s(e)))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1144,plain,
( s(u(e,s(e))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(s(u(e,s(e))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1145,plain,
( u(u(e,s(e)),s(u(e,s(e)))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1146,plain,
( s(s(u(e,s(e)))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| s(s(u(e,s(e)))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1147,plain,
( s(u(e,s(e))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(u(e,s(e))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1148,plain,
( u(u(e,s(e)),s(u(e,s(e)))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))
| ~ mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1149,plain,
( s(u(e,s(e))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(u(e,s(e))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1151,plain,
( s(s(u(e,s(e)))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| s(s(u(e,s(e)))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))))
| mem(sK1(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))),sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1152,plain,
( u(u(e,s(e)),s(u(e,s(e)))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| u(u(e,s(e)),s(u(e,s(e)))) != sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))
| ~ mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1153,plain,
( s(s(u(e,s(e)))) != sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))))
| s(s(u(e,s(e)))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK1(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))),p(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f1154,plain,
( s(s(u(e,s(e)))) != sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| s(s(u(e,s(e)))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))))))
| ~ mem(sK3(sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
cnf(s1,plain,
spl4_1,
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( ~ spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f85]) ).
cnf(s3,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f90]) ).
cnf(s4,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(sat_conversion,[],[f95]) ).
cnf(s5,plain,
( ~ spl4_3
| spl4_5 ),
inference(sat_conversion,[],[f103]) ).
cnf(s6,plain,
( ~ spl4_3
| spl4_6 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
( ~ spl4_3
| ~ spl4_7 ),
inference(sat_conversion,[],[f113]) ).
cnf(s10,plain,
( spl4_4
| ~ spl4_9 ),
inference(sat_conversion,[],[f132]) ).
cnf(s11,plain,
( spl4_4
| spl4_10 ),
inference(sat_conversion,[],[f137]) ).
cnf(s12,plain,
( ~ spl4_6
| spl4_11 ),
inference(sat_conversion,[],[f145]) ).
cnf(s13,plain,
( ~ spl4_6
| ~ spl4_12 ),
inference(sat_conversion,[],[f150]) ).
cnf(s16,plain,
( spl4_7
| ~ spl4_14 ),
inference(sat_conversion,[],[f169]) ).
cnf(s17,plain,
( spl4_7
| spl4_15 ),
inference(sat_conversion,[],[f174]) ).
cnf(s18,plain,
( ~ spl4_10
| spl4_16
| spl4_17 ),
inference(sat_conversion,[],[f195]) ).
cnf(s19,plain,
( spl4_12
| spl4_18 ),
inference(sat_conversion,[],[f217]) ).
cnf(s20,plain,
( spl4_12
| ~ spl4_19 ),
inference(sat_conversion,[],[f223]) ).
cnf(s27,plain,
( ~ spl4_16
| spl4_21
| spl4_22 ),
inference(sat_conversion,[],[f285]) ).
cnf(s28,plain,
( ~ spl4_3
| spl4_9
| ~ spl4_20 ),
inference(sat_conversion,[],[f316]) ).
cnf(s32,plain,
( ~ spl4_2
| ~ spl4_15
| spl4_31
| spl4_32
| spl4_33 ),
inference(sat_conversion,[],[f377]) ).
cnf(s33,plain,
( spl4_4
| ~ spl4_21
| ~ spl4_34 ),
inference(sat_conversion,[],[f416]) ).
cnf(s38,plain,
( spl4_9
| ~ spl4_21
| ~ spl4_34 ),
inference(sat_conversion,[],[f433]) ).
cnf(s39,plain,
( spl4_9
| ~ spl4_15
| ~ spl4_17
| ~ spl4_31 ),
inference(sat_conversion,[],[f434]) ).
cnf(s41,plain,
( spl4_9
| ~ spl4_15
| ~ spl4_22
| ~ spl4_32 ),
inference(sat_conversion,[],[f436]) ).
cnf(s56,plain,
( ~ spl4_3
| ~ spl4_11
| spl4_41 ),
inference(sat_conversion,[],[f528]) ).
cnf(s73,plain,
( spl4_19
| ~ spl4_57 ),
inference(sat_conversion,[],[f820]) ).
cnf(s74,plain,
( spl4_19
| spl4_58 ),
inference(sat_conversion,[],[f825]) ).
cnf(s80,plain,
( ~ spl4_2
| ~ spl4_5
| ~ spl4_6
| spl4_63
| spl4_64
| spl4_65 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s82,plain,
( ~ spl4_2
| ~ spl4_5
| ~ spl4_18
| spl4_66
| spl4_67
| spl4_68 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s83,plain,
( spl4_57
| ~ spl4_58
| ~ spl4_63
| ~ spl4_66 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s84,plain,
( ~ spl4_11
| ~ spl4_17
| spl4_20
| ~ spl4_64 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s85,plain,
( ~ spl4_11
| spl4_14
| ~ spl4_31
| ~ spl4_64 ),
inference(sat_conversion,[],[f1138]) ).
cnf(s87,plain,
( spl4_14
| ~ spl4_18
| ~ spl4_33
| ~ spl4_66 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s88,plain,
( ~ spl4_18
| spl4_20
| ~ spl4_21
| ~ spl4_66 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s90,plain,
( spl4_9
| ~ spl4_22
| ~ spl4_41
| ~ spl4_65 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s91,plain,
( spl4_34
| ~ spl4_41
| ~ spl4_63 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s92,plain,
( spl4_14
| ~ spl4_18
| ~ spl4_31
| ~ spl4_67 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s93,plain,
( ~ spl4_18
| spl4_20
| ~ spl4_22
| ~ spl4_68 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s94,plain,
( ~ spl4_11
| spl4_14
| ~ spl4_33
| ~ spl4_63 ),
inference(sat_conversion,[],[f1147]) ).
cnf(s95,plain,
( spl4_57
| ~ spl4_58
| ~ spl4_64
| ~ spl4_67 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s96,plain,
( spl4_9
| ~ spl4_15
| ~ spl4_21
| ~ spl4_33 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s98,plain,
( spl4_57
| ~ spl4_58
| ~ spl4_65
| ~ spl4_68 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s99,plain,
( ~ spl4_17
| ~ spl4_18
| spl4_20
| ~ spl4_67 ),
inference(sat_conversion,[],[f1152]) ).
cnf(s100,plain,
( spl4_14
| ~ spl4_18
| ~ spl4_32
| ~ spl4_68 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s101,plain,
( ~ spl4_11
| spl4_14
| ~ spl4_32
| ~ spl4_65 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s102,plain,
~ spl4_4,
inference(rat,[],[s4,s1]) ).
cnf(s103,plain,
spl4_3,
inference(rat,[],[s3,s1]) ).
cnf(s104,plain,
spl4_2,
inference(rat,[],[s2,s1]) ).
cnf(s105,plain,
spl4_10,
inference(rat,[],[s11,s102]) ).
cnf(s106,plain,
~ spl4_9,
inference(rat,[],[s10,s102]) ).
cnf(s107,plain,
~ spl4_7,
inference(rat,[],[s7,s103]) ).
cnf(s108,plain,
spl4_6,
inference(rat,[],[s6,s103]) ).
cnf(s109,plain,
spl4_5,
inference(rat,[],[s5,s103]) ).
cnf(s110,plain,
~ spl4_20,
inference(rat,[],[s28,s103,s106]) ).
cnf(s111,plain,
spl4_15,
inference(rat,[],[s17,s107]) ).
cnf(s112,plain,
~ spl4_14,
inference(rat,[],[s16,s107]) ).
cnf(s113,plain,
~ spl4_12,
inference(rat,[],[s13,s108]) ).
cnf(s114,plain,
spl4_11,
inference(rat,[],[s12,s108]) ).
cnf(s120,plain,
~ spl4_19,
inference(rat,[],[s20,s113]) ).
cnf(s121,plain,
spl4_18,
inference(rat,[],[s19,s113]) ).
cnf(s122,plain,
spl4_41,
inference(rat,[],[s56,s103,s114]) ).
cnf(s124,plain,
spl4_58,
inference(rat,[],[s74,s120]) ).
cnf(s125,plain,
~ spl4_57,
inference(rat,[],[s73,s120]) ).
cnf(s126,plain,
( ~ spl4_33
| ~ spl4_17 ),
inference(rat,[],[s98,s82,s80,s87,s94,s99,s84,s124,s125,s104,s109,s121,s108,s112,s114,s110]) ).
cnf(s127,plain,
~ spl4_17,
inference(rat,[],[s83,s82,s80,s100,s101,s32,s126,s39,s84,s99,s124,s125,s104,s109,s121,s108,s112,s114,s111,s106,s110]) ).
cnf(s128,plain,
spl4_16,
inference(rat,[],[s18,s105,s127]) ).
cnf(s129,plain,
~ spl4_33,
inference(rat,[],[s95,s82,s80,s93,s90,s27,s87,s94,s96,s124,s125,s104,s109,s121,s108,s110,s106,s122,s128,s112,s114,s111]) ).
cnf(s130,plain,
~ spl4_32,
inference(rat,[],[s95,s80,s82,s91,s88,s38,s27,s100,s101,s41,s124,s125,s108,s104,s109,s121,s122,s110,s106,s128,s112,s114,s111]) ).
cnf(s131,plain,
spl4_31,
inference(rat,[],[s32,s129,s111,s104,s130]) ).
cnf(s134,plain,
~ spl4_67,
inference(rat,[],[s92,s121,s112,s131]) ).
cnf(s135,plain,
~ spl4_64,
inference(rat,[],[s85,s114,s112,s131]) ).
cnf(s136,plain,
~ spl4_65,
inference(rat,[],[s88,s82,s27,s98,s90,s110,s121,s104,s109,s134,s128,s124,s125,s106,s122]) ).
cnf(s137,plain,
spl4_63,
inference(rat,[],[s80,s135,s109,s104,s108,s136]) ).
cnf(s138,plain,
spl4_34,
inference(rat,[],[s91,s122,s137]) ).
cnf(s139,plain,
~ spl4_66,
inference(rat,[],[s83,s125,s124,s137]) ).
cnf(s140,plain,
~ spl4_21,
inference(rat,[],[s33,s102,s138]) ).
cnf(s141,plain,
spl4_68,
inference(rat,[],[s82,s134,s121,s109,s104,s139]) ).
cnf(s142,plain,
spl4_22,
inference(rat,[],[s27,s128,s140]) ).
cnf(s143,plain,
$false,
inference(rat,[],[s93,s121,s110,s141,s142]) ).
fof(f1155,plain,
$false,
inference(avatar_sat_refutation,[],[s143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV549+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 06:36:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.27/1.76 % (4190137)Detected formulas, will run a generic FOF schedule.
% 5.27/1.76 % (4190144)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=3869157564:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.27/1.76 % (4190143)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=146734882:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.27/1.76 % (4190142)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=4229599426:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.27/1.76 % (4190148)dis-21_1_sil=8000:lcm=predicate:random_seed=77425129: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)
% 5.27/1.76 % (4190146)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2109060011:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.27/1.76 % (4190145)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3256161841:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.27/1.76 % (4190147)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3623930375:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.27/1.76 % (4190145)Refutation not found, incomplete strategy
% 5.27/1.76 % (4190145)------------------------------
% 5.27/1.76 % (4190145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190145)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190145)Termination reason: Refutation not found, incomplete strategy
% 5.27/1.76 % (4190145)Time elapsed: 0.001 s
% 5.27/1.76 % (4190145)Peak memory usage: 88 MB
% 5.27/1.76 % (4190148)Instruction limit reached!
% 5.27/1.76 % (4190148)------------------------------
% 5.27/1.76 % (4190148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190148)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190148)Termination reason: Instruction limit
% 5.27/1.76 % (4190148)Termination phase: Saturation
% 5.27/1.76 % (4190148)Time elapsed: 0.072 s
% 5.27/1.76 % (4190148)Peak memory usage: 89 MB
% 5.27/1.76 % (4190148)Instructions burned: 130 (million)
% 5.27/1.76 % (4190146)Instruction limit reached!
% 5.27/1.76 % (4190146)------------------------------
% 5.27/1.76 % (4190146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190146)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190146)Termination reason: Instruction limit
% 5.27/1.76 % (4190146)Termination phase: Saturation
% 5.27/1.76 % (4190146)Time elapsed: 0.074 s
% 5.27/1.76 % (4190146)Peak memory usage: 89 MB
% 5.27/1.76 % (4190146)Instructions burned: 120 (million)
% 5.27/1.76 % (4190147)Instruction limit reached!
% 5.27/1.76 % (4190147)------------------------------
% 5.27/1.76 % (4190147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190147)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190147)Termination reason: Instruction limit
% 5.27/1.76 % (4190147)Termination phase: Saturation
% 5.27/1.76 % (4190147)Time elapsed: 0.092 s
% 5.27/1.76 % (4190147)Peak memory usage: 89 MB
% 5.27/1.76 % (4190147)Instructions burned: 139 (million)
% 5.27/1.76 % (4190156)lrs+10_1_sil=8000:sp=occurrence:random_seed=2333224599:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.27/1.76 % (4190157)lrs+10_1_sil=32000:urr=on:br=off:random_seed=740677851:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.27/1.76 % (4190158)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2434341010:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.27/1.76 % (4190145)------------------------------
% 5.27/1.76 % (4190145)------------------------------
% 5.27/1.76 % (4190158)Refutation not found, incomplete strategy
% 5.27/1.76 % (4190158)------------------------------
% 5.27/1.76 % (4190158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190158)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190158)Termination reason: Refutation not found, incomplete strategy
% 5.27/1.76 % (4190158)Time elapsed: 0.002 s
% 5.27/1.76 % (4190158)Peak memory usage: 88 MB
% 5.27/1.76 % (4190158)Instructions burned: 1 (million)
% 5.27/1.76 % (4190144)Refutation not found, incomplete strategy
% 5.27/1.76 % (4190144)------------------------------
% 5.27/1.76 % (4190144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190144)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190144)Termination reason: Refutation not found, incomplete strategy
% 5.27/1.76 % (4190144)Time elapsed: 0.323 s
% 5.27/1.76 % (4190144)Peak memory usage: 127 MB
% 5.27/1.76 % (4190144)Instructions burned: 828 (million)
% 5.27/1.76 % (4190157)Instruction limit reached!
% 5.27/1.76 % (4190157)------------------------------
% 5.27/1.76 % (4190157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190157)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190157)Termination reason: Instruction limit
% 5.27/1.76 % (4190157)Termination phase: Saturation
% 5.27/1.76 % (4190157)Time elapsed: 0.077 s
% 5.27/1.76 % (4190157)Peak memory usage: 89 MB
% 5.27/1.76 % (4190157)Instructions burned: 158 (million)
% 5.27/1.76 % (4190156)Instruction limit reached!
% 5.27/1.76 % (4190156)------------------------------
% 5.27/1.76 % (4190156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190156)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190156)Termination reason: Instruction limit
% 5.27/1.76 % (4190156)Termination phase: Saturation
% 5.27/1.76 % (4190156)Time elapsed: 0.185 s
% 5.27/1.76 % (4190156)Peak memory usage: 91 MB
% 5.27/1.76 % (4190156)Instructions burned: 286 (million)
% 5.27/1.76 % (4190162)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=4180302469:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.27/1.76 % (4190144)------------------------------
% 5.27/1.76 % (4190144)------------------------------
% 5.27/1.76 % (4190163)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=753480770:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.27/1.76 % (4190163)Refutation not found, incomplete strategy
% 5.27/1.76 % (4190163)------------------------------
% 5.27/1.76 % (4190163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190163)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190163)Termination reason: Refutation not found, incomplete strategy
% 5.27/1.76 % (4190163)Time elapsed: 0.002 s
% 5.27/1.76 % (4190163)Peak memory usage: 88 MB
% 5.27/1.76 % (4190163)Instructions burned: 1 (million)
% 5.27/1.76 % (4190158)------------------------------
% 5.27/1.76 % (4190158)------------------------------
% 5.27/1.76 % (4190166)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3962175576:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.27/1.76 % (4190164)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2879375859:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.27/1.76 % (4190162)Instruction limit reached!
% 5.27/1.76 % (4190162)------------------------------
% 5.27/1.76 % (4190162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190162)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190162)Termination reason: Instruction limit
% 5.27/1.76 % (4190162)Termination phase: Saturation
% 5.27/1.76 % (4190162)Time elapsed: 0.143 s
% 5.27/1.76 % (4190162)Peak memory usage: 91 MB
% 5.27/1.76 % (4190162)Instructions burned: 248 (million)
% 5.27/1.76 % (4190166)First to succeed.
% 5.27/1.76 % (4190166)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4190137"
% 5.27/1.76 % (4190168)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2722830813:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.27/1.76 % (4190163)------------------------------
% 5.27/1.76 % (4190163)------------------------------
% 5.27/1.76 % (4190168)Instruction limit reached!
% 5.27/1.76 % (4190168)------------------------------
% 5.27/1.76 % (4190168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.76 % (4190168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.76 % (4190168)CaDiCaL version: 2.1.3
% 5.27/1.76 % (4190168)Termination reason: Instruction limit
% 5.27/1.76 % (4190168)Termination phase: Saturation
% 5.27/1.76 % (4190168)Time elapsed: 0.061 s
% 5.27/1.76 % (4190168)Peak memory usage: 88 MB
% 5.27/1.76 % (4190168)Instructions burned: 128 (million)
% 5.27/1.76 % (4190171)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=113421175:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.27/1.76 % (4190166)Refutation found. Thanks to Tanya!
% 5.27/1.76 % SZS status Theorem for theBenchmark
% 5.27/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 7.04/1.96 % (4190166)------------------------------
% 7.04/1.96 % (4190166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.96 % (4190166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.96 % (4190166)CaDiCaL version: 2.1.3
% 7.04/1.96 % (4190166)Termination reason: Refutation
% 7.04/1.96 % (4190166)Time elapsed: 0.021 s
% 7.04/1.96 % (4190166)Peak memory usage: 90 MB
% 7.04/1.96 % (4190166)Instructions burned: 65 (million)
% 7.04/1.96 % (4190166)------------------------------
% 7.04/1.96 % (4190166)------------------------------
% 7.04/1.96 % (4190137)Success in time 0.913 s
% 7.04/1.96 % Vampire exiting
%------------------------------------------------------------------------------