%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV551+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 : n005.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 6.54s 1.92s
% Output : Refutation 6.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 149 ( 31 unt; 18 def)
% Number of atoms : 356 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 363 ( 156 ~; 155 |; 24 &)
% ( 25 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 24 ( 22 usr; 19 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 70 !; 8 ?)
% 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(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(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(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3p_def) ).
fof(f26,conjecture,
~ atleast3p(a(s(a(n(e),n(n(e)))),n(n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atmost2_2560) ).
fof(f27,negated_conjecture,
~ ~ atleast3p(a(s(a(n(e),n(n(e)))),n(n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
atleast3p(a(s(a(n(e),n(n(e)))),n(n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( atleast3p(X0)
=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f30,plain,
! [X0] :
( atleast2p(X0)
=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) )
| ~ atleast3p(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f32,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) )
| ~ atleast2p(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f36,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0] :
( ( subq(sK0(X0),X0)
& atleast2p(sK0(X0))
& ~ subq(X0,sK0(X0)) )
| ~ atleast3p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f31]) ).
fof(f38,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,[],[f32]) ).
fof(f39,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,[],[f38]) ).
fof(f40,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))],[f39]) ).
fof(f41,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(f42,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,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ( mem(sK2(X0),X0)
& ~ subq(X0,p(sK2(X0))) )
| ~ atleast2p(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f35]) ).
fof(f44,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f45,plain,
atleast3p(a(s(a(n(e),n(n(e)))),n(n(n(e))))),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| ~ mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f51,plain,
! [X0] :
( ~ subq(X0,sK0(X0))
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f52,plain,
! [X0] :
( atleast2p(sK0(X0))
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
! [X0] :
( subq(sK0(X0),X0)
| ~ atleast3p(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X3,X0,X1] :
( mem(X3,X1)
| ~ mem(X3,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X0,X1] :
( subq(X0,X1)
| mem(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
! [X0,X1] :
( subq(X0,X1)
| ~ mem(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
! [X2,X0,X1] :
( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f61,plain,
! [X0] :
( ~ subq(X0,p(sK2(X0)))
| ~ atleast2p(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f62,plain,
! [X0] :
( mem(sK2(X0),X0)
| ~ atleast2p(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f50,f47]) ).
fof(f66,plain,
atleast3p(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f45,f47,f47,f65,f65,f65,f65,f65,f65]) ).
fof(f68,definition,
( spl3_1
<=> atleast3p(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f70,plain,
( atleast3p(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
spl3_1,
inference(avatar_split_clause,[],[f66,f68]) ).
fof(f72,plain,
( ~ subq(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl3_1 ),
inference(resolution,[],[f70,f51]) ).
fof(f73,plain,
( atleast2p(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl3_1 ),
inference(resolution,[],[f70,f52]) ).
fof(f74,plain,
( subq(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl3_1 ),
inference(resolution,[],[f70,f53]) ).
fof(f76,definition,
( spl3_2
<=> subq(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f78,plain,
( subq(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f74,f68,f76]) ).
fof(f81,definition,
( spl3_3
<=> atleast2p(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f83,plain,
( atleast2p(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f73,f68,f81]) ).
fof(f86,definition,
( spl3_4
<=> subq(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f88,plain,
( ~ subq(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| spl3_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( ~ spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f72,f68,f86]) ).
fof(f90,plain,
( ~ subq(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ spl3_3 ),
inference(resolution,[],[f83,f61]) ).
fof(f91,plain,
( mem(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl3_3 ),
inference(resolution,[],[f83,f62]) ).
fof(f93,definition,
( spl3_5
<=> mem(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f96,plain,
( spl3_5
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f91,f81,f93]) ).
fof(f98,definition,
( spl3_6
<=> subq(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f100,plain,
( ~ subq(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| spl3_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( ~ spl3_6
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f90,f81,f98]) ).
fof(f105,plain,
( ! [X0] :
( mem(X0,u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) )
| ~ spl3_2 ),
inference(resolution,[],[f78,f54]) ).
fof(f114,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| spl3_4 ),
inference(resolution,[],[f88,f55]) ).
fof(f115,plain,
( ~ mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| spl3_4 ),
inference(resolution,[],[f88,f56]) ).
fof(f117,definition,
( spl3_8
<=> mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f120,plain,
( ~ spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f115,f86,f117]) ).
fof(f122,definition,
( spl3_9
<=> mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f124,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl3_9
| spl3_4 ),
inference(avatar_split_clause,[],[f114,f86,f122]) ).
fof(f131,plain,
( mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| spl3_6 ),
inference(resolution,[],[f100,f55]) ).
fof(f132,plain,
( ~ mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| spl3_6 ),
inference(resolution,[],[f100,f56]) ).
fof(f133,plain,
( ~ subq(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| spl3_6 ),
inference(forward_literal_rewriting,[],[f132,f64]) ).
fof(f135,definition,
( spl3_10
<=> mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f137,plain,
( mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl3_10
| spl3_6 ),
inference(avatar_split_clause,[],[f131,f98,f135]) ).
fof(f141,definition,
( spl3_11
<=> subq(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f143,plain,
( ~ subq(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| spl3_11 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( ~ spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f133,f98,f141]) ).
fof(f145,plain,
( ! [X0] :
( ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ spl3_2 ),
inference(resolution,[],[f105,f58]) ).
fof(f150,plain,
( ! [X0] :
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(X0,s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))) )
| ~ spl3_2 ),
inference(forward_literal_rewriting,[],[f145,f48]) ).
fof(f151,plain,
( ! [X0] :
( ~ mem(X0,sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 )
| ~ spl3_2 ),
inference(forward_literal_rewriting,[],[f150,f48]) ).
fof(f152,plain,
( mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(u(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(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl3_9 ),
inference(resolution,[],[f124,f58]) ).
fof(f156,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))
| ~ spl3_9 ),
inference(forward_literal_rewriting,[],[f152,f48]) ).
fof(f157,plain,
( u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl3_9 ),
inference(forward_literal_rewriting,[],[f156,f48]) ).
fof(f159,definition,
( spl3_12
<=> u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f163,definition,
( spl3_13
<=> u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
fof(f166,plain,
( spl3_12
| spl3_13
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f157,f122,f163,f159]) ).
fof(f175,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ atleast2p(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ spl3_2 ),
inference(resolution,[],[f151,f62]) ).
fof(f177,definition,
( spl3_14
<=> u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f181,definition,
( spl3_15
<=> u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
fof(f184,plain,
( ~ spl3_3
| spl3_14
| spl3_15
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f175,f76,f181,f177,f81]) ).
fof(f255,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| ~ spl3_2
| ~ spl3_10 ),
inference(resolution,[],[f137,f151]) ).
fof(f260,definition,
( spl3_19
<=> u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f264,definition,
( spl3_20
<=> u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f267,plain,
( spl3_19
| spl3_20
| ~ spl3_2
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f255,f135,f76,f264,f260]) ).
fof(f283,plain,
( mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))))
| spl3_11 ),
inference(resolution,[],[f143,f55]) ).
fof(f284,plain,
( ~ mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| spl3_11 ),
inference(resolution,[],[f143,f56]) ).
fof(f286,definition,
( spl3_23
<=> mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f289,plain,
( ~ spl3_23
| spl3_11 ),
inference(avatar_split_clause,[],[f284,f141,f286]) ).
fof(f291,definition,
( spl3_24
<=> mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f294,plain,
( spl3_24
| spl3_11 ),
inference(avatar_split_clause,[],[f283,f141,f291]) ).
fof(f296,plain,
( u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f297,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f298,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f299,plain,
( u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f301,plain,
( u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))
| ~ mem(sK1(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))),sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f302,plain,
( u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))))
| u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) != sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| mem(sK1(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(sK1(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),p(sK2(sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))))),sK0(u(s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f79]) ).
cnf(s3,plain,
( ~ spl3_1
| spl3_3 ),
inference(sat_conversion,[],[f84]) ).
cnf(s4,plain,
( ~ spl3_1
| ~ spl3_4 ),
inference(sat_conversion,[],[f89]) ).
cnf(s5,plain,
( ~ spl3_3
| spl3_5 ),
inference(sat_conversion,[],[f96]) ).
cnf(s6,plain,
( ~ spl3_3
| ~ spl3_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s9,plain,
( spl3_4
| ~ spl3_8 ),
inference(sat_conversion,[],[f120]) ).
cnf(s10,plain,
( spl3_4
| spl3_9 ),
inference(sat_conversion,[],[f125]) ).
cnf(s11,plain,
( spl3_6
| spl3_10 ),
inference(sat_conversion,[],[f138]) ).
cnf(s12,plain,
( spl3_6
| ~ spl3_11 ),
inference(sat_conversion,[],[f144]) ).
cnf(s13,plain,
( ~ spl3_9
| spl3_12
| spl3_13 ),
inference(sat_conversion,[],[f166]) ).
cnf(s14,plain,
( ~ spl3_2
| ~ spl3_3
| spl3_14
| spl3_15 ),
inference(sat_conversion,[],[f184]) ).
cnf(s22,plain,
( ~ spl3_2
| ~ spl3_10
| spl3_19
| spl3_20 ),
inference(sat_conversion,[],[f267]) ).
cnf(s24,plain,
( spl3_11
| ~ spl3_23 ),
inference(sat_conversion,[],[f289]) ).
cnf(s25,plain,
( spl3_11
| spl3_24 ),
inference(sat_conversion,[],[f294]) ).
cnf(s26,plain,
( ~ spl3_14
| ~ spl3_19
| spl3_23
| ~ spl3_24 ),
inference(sat_conversion,[],[f296]) ).
cnf(s27,plain,
( ~ spl3_5
| spl3_8
| ~ spl3_12
| ~ spl3_15 ),
inference(sat_conversion,[],[f297]) ).
cnf(s28,plain,
( spl3_8
| ~ spl3_10
| ~ spl3_12
| ~ spl3_20 ),
inference(sat_conversion,[],[f298]) ).
cnf(s29,plain,
( ~ spl3_5
| spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(sat_conversion,[],[f299]) ).
cnf(s31,plain,
( ~ spl3_15
| ~ spl3_20
| spl3_23
| ~ spl3_24 ),
inference(sat_conversion,[],[f301]) ).
cnf(s32,plain,
( spl3_8
| ~ spl3_10
| ~ spl3_13
| ~ spl3_19 ),
inference(sat_conversion,[],[f302]) ).
cnf(s33,plain,
~ spl3_4,
inference(rat,[],[s4,s1]) ).
cnf(s34,plain,
spl3_3,
inference(rat,[],[s3,s1]) ).
cnf(s35,plain,
spl3_2,
inference(rat,[],[s2,s1]) ).
cnf(s36,plain,
spl3_9,
inference(rat,[],[s10,s33]) ).
cnf(s37,plain,
~ spl3_8,
inference(rat,[],[s9,s33]) ).
cnf(s38,plain,
~ spl3_6,
inference(rat,[],[s6,s34]) ).
cnf(s39,plain,
spl3_5,
inference(rat,[],[s5,s34]) ).
cnf(s40,plain,
~ spl3_11,
inference(rat,[],[s12,s38]) ).
cnf(s41,plain,
spl3_10,
inference(rat,[],[s11,s38]) ).
cnf(s43,plain,
spl3_24,
inference(rat,[],[s25,s40]) ).
cnf(s44,plain,
~ spl3_23,
inference(rat,[],[s24,s40]) ).
cnf(s45,plain,
~ spl3_13,
inference(rat,[],[s31,s14,s22,s29,s32,s44,s43,s34,s35,s41,s37,s39]) ).
cnf(s46,plain,
spl3_12,
inference(rat,[],[s13,s36,s45]) ).
cnf(s49,plain,
~ spl3_20,
inference(rat,[],[s28,s41,s37,s46]) ).
cnf(s50,plain,
~ spl3_15,
inference(rat,[],[s27,s39,s37,s46]) ).
cnf(s51,plain,
spl3_19,
inference(rat,[],[s22,s41,s35,s49]) ).
cnf(s52,plain,
spl3_14,
inference(rat,[],[s14,s35,s34,s50]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s26,s43,s44,s51,s52]) ).
fof(f303,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV551+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 06:35:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/1.91 % (595120)Detected formulas, will run a generic FOF schedule.
% 6.54/1.91 % (595172)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2312778553:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.54/1.91 % (595172)Instruction limit reached!
% 6.54/1.91 % (595172)------------------------------
% 6.54/1.91 % (595172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595172)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595172)Termination reason: Instruction limit
% 6.54/1.91 % (595172)Termination phase: Saturation
% 6.54/1.91 % (595172)Time elapsed: 0.028 s
% 6.54/1.91 % (595172)Peak memory usage: 88 MB
% 6.54/1.91 % (595172)Instructions burned: 123 (million)
% 6.54/1.91 % (595175)dis-21_1_sil=8000:lcm=predicate:random_seed=948912879:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.54/1.91 % (595168)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=467606024:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.54/1.91 % (595173)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4050019104:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.54/1.91 % (595167)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=2943521533:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.54/1.91 % (595165)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=2993346888:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.54/1.91 % (595170)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1360576839:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.54/1.91 % (595170)Refutation not found, incomplete strategy
% 6.54/1.91 % (595170)------------------------------
% 6.54/1.91 % (595170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595170)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595170)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (595170)Time elapsed: 0.001 s
% 6.54/1.91 % (595170)Peak memory usage: 88 MB
% 6.54/1.91 % (595175)Instruction limit reached!
% 6.54/1.91 % (595175)------------------------------
% 6.54/1.91 % (595175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595175)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595175)Termination reason: Instruction limit
% 6.54/1.91 % (595175)Termination phase: Saturation
% 6.54/1.91 % (595175)Time elapsed: 0.070 s
% 6.54/1.91 % (595175)Peak memory usage: 89 MB
% 6.54/1.91 % (595175)Instructions burned: 130 (million)
% 6.54/1.91 % (595173)Instruction limit reached!
% 6.54/1.91 % (595173)------------------------------
% 6.54/1.91 % (595173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595173)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595173)Termination reason: Instruction limit
% 6.54/1.91 % (595173)Termination phase: Saturation
% 6.54/1.91 % (595173)Time elapsed: 0.094 s
% 6.54/1.91 % (595173)Peak memory usage: 89 MB
% 6.54/1.91 % (595173)Instructions burned: 140 (million)
% 6.54/1.91 % (595226)lrs+10_1_sil=8000:sp=occurrence:random_seed=2723236240:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.54/1.91 % (595226)Instruction limit reached!
% 6.54/1.91 % (595226)------------------------------
% 6.54/1.91 % (595226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595226)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595226)Termination reason: Instruction limit
% 6.54/1.91 % (595226)Termination phase: Saturation
% 6.54/1.91 % (595226)Time elapsed: 0.099 s
% 6.54/1.91 % (595226)Peak memory usage: 91 MB
% 6.54/1.91 % (595226)Instructions burned: 287 (million)
% 6.54/1.91 % (595257)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2116932411:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.54/1.91 % (595257)Refutation not found, incomplete strategy
% 6.54/1.91 % (595257)------------------------------
% 6.54/1.91 % (595257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595257)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595257)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (595257)Time elapsed: 0.002 s
% 6.54/1.91 % (595257)Peak memory usage: 88 MB
% 6.54/1.91 % (595257)Instructions burned: 1 (million)
% 6.54/1.91 % (595274)lrs+1011_1_sil=32000:sp=occurrence:random_seed=492553815:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.54/1.91 % (595170)------------------------------
% 6.54/1.91 % (595170)------------------------------
% 6.54/1.91 % (595274)Refutation not found, incomplete strategy
% 6.54/1.91 % (595274)------------------------------
% 6.54/1.91 % (595274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595274)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595274)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (595274)Time elapsed: 0.002 s
% 6.54/1.91 % (595274)Peak memory usage: 88 MB
% 6.54/1.91 % (595295)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=1124133365:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.54/1.91 % (595295)Instruction limit reached!
% 6.54/1.91 % (595295)------------------------------
% 6.54/1.91 % (595295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595295)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595295)Termination reason: Instruction limit
% 6.54/1.91 % (595295)Termination phase: Saturation
% 6.54/1.91 % (595295)Time elapsed: 0.076 s
% 6.54/1.91 % (595295)Peak memory usage: 91 MB
% 6.54/1.91 % (595295)Instructions burned: 249 (million)
% 6.54/1.91 % (595298)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1592541898:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.54/1.91 % (595298)Refutation not found, incomplete strategy
% 6.54/1.91 % (595298)------------------------------
% 6.54/1.91 % (595298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.91 % (595298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.91 % (595298)CaDiCaL version: 2.1.3
% 6.54/1.91 % (595298)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.91 % (595298)Time elapsed: 0.002 s
% 6.54/1.91 % (595298)Peak memory usage: 88 MB
% 6.54/1.91 % (595298)Instructions burned: 1 (million)
% 6.54/1.91 % (595257)------------------------------
% 6.54/1.91 % (595257)------------------------------
% 6.54/1.91 % (595274)------------------------------
% 6.54/1.91 % (595274)------------------------------
% 6.54/1.91 % (595300)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2735491052:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.54/1.91 % (595168)Refutation not found, incomplete strategy
% 6.54/1.91 % (595168)------------------------------
% 6.54/1.91 % (595168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.92 % (595168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.92 % (595168)CaDiCaL version: 2.1.3
% 6.54/1.92 % (595168)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.92 % (595168)Time elapsed: 0.559 s
% 6.54/1.92 % (595168)Peak memory usage: 125 MB
% 6.54/1.92 % (595168)Instructions burned: 823 (million)
% 6.54/1.92 % (595302)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1008960551:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.54/1.92 % (595302)First to succeed.
% 6.54/1.92 % (595302)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-595120"
% 6.54/1.92 % (595303)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2726375455:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.54/1.92 % (595298)------------------------------
% 6.54/1.92 % (595298)------------------------------
% 6.54/1.92 % (595303)Instruction limit reached!
% 6.54/1.92 % (595303)------------------------------
% 6.54/1.92 % (595303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.92 % (595303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.92 % (595303)CaDiCaL version: 2.1.3
% 6.54/1.92 % (595303)Termination reason: Instruction limit
% 6.54/1.92 % (595303)Termination phase: Saturation
% 6.54/1.92 % (595303)Time elapsed: 0.061 s
% 6.54/1.92 % (595303)Peak memory usage: 88 MB
% 6.54/1.92 % (595303)Instructions burned: 127 (million)
% 6.54/1.92 % (595168)------------------------------
% 6.54/1.92 % (595168)------------------------------
% 6.54/1.92 % (595307)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3303817875:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.54/1.92 % (595307)Refutation not found, incomplete strategy
% 6.54/1.92 % (595307)------------------------------
% 6.54/1.92 % (595307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.92 % (595307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.92 % (595307)CaDiCaL version: 2.1.3
% 6.54/1.92 % (595307)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.92 % (595307)Time elapsed: 0.001 s
% 6.54/1.92 % (595307)Peak memory usage: 88 MB
% 6.54/1.92 % (595165)Also succeeded, but the first one will report.
% 6.54/1.92 % (595302)Refutation found. Thanks to Tanya!
% 6.54/1.92 % SZS status Theorem for theBenchmark
% 6.54/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 6.54/2.02 % (595302)------------------------------
% 6.54/2.02 % (595302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/2.02 % (595302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/2.02 % (595302)CaDiCaL version: 2.1.3
% 6.54/2.02 % (595302)Termination reason: Refutation
% 6.54/2.02 % (595302)Time elapsed: 0.013 s
% 6.54/2.02 % (595302)Peak memory usage: 89 MB
% 6.54/2.02 % (595302)Instructions burned: 21 (million)
% 6.54/2.02 % (595302)------------------------------
% 6.54/2.02 % (595302)------------------------------
% 6.54/2.02 % (595120)Success in time 1.058 s
% 6.54/2.02 % Vampire exiting
%------------------------------------------------------------------------------