%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV571+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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:58:22 PM UTC 2026
% Result : Theorem 6.75s 1.99s
% Output : Refutation 8.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 111 ( 25 unt; 5 def)
% Number of atoms : 282 ( 60 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 288 ( 117 ~; 150 |; 11 &)
% ( 9 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(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(f26,conjecture,
~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nsubq_2508_2504) ).
fof(f27,negated_conjecture,
~ ~ subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f34]) ).
fof(f45,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f46,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK2(X0,X1),X1)
& mem(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f46]) ).
fof(f90,plain,
subq(u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),a(s(s(n(e))),n(n(n(e))))),u(u(s(u(n(e),n(s(n(e))))),u(s(n(s(n(e)))),n(s(n(n(e)))))),s(n(n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f91,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f92,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f93,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f94,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f96,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f97,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f98,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f170,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f98,f92]) ).
fof(f171,plain,
subq(u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(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(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f90,f170,f170,f170,f170,f170,f170,f170,f170,f92,f170,f170,f170,f170,f170,f170,f170,f170,f170,f170,f170,f170,f170,f170,f170]) ).
fof(f172,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f94]) ).
fof(f174,plain,
! [X0] :
( ~ mem(X0,u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(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,u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f110,f171]) ).
fof(f175,plain,
! [X0] :
( mem(X0,u(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(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,u(s(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f174,f96]) ).
fof(f179,plain,
! [X0] :
( mem(X0,u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(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))))))))
| ~ mem(X0,u(s(s(u(e,s(e)))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f95,f175]) ).
fof(f180,plain,
! [X0] :
( mem(X0,u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(s(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))))))))
| mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))) ),
inference(resolution,[],[f179,f95]) ).
fof(f181,plain,
! [X0] :
( ~ mem(X0,u(s(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))))))))
| mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e))))))) ),
inference(resolution,[],[f180,f95]) ).
fof(f182,plain,
! [X0] :
( mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(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))))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| ~ mem(X0,s(s(u(e,s(e))))) ),
inference(resolution,[],[f181,f97]) ).
fof(f192,plain,
! [X0] :
( 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))))))))
| mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| ~ mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e)))))) ),
inference(resolution,[],[f182,f95]) ).
fof(f193,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| ~ mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,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)))))) = X0 ),
inference(resolution,[],[f192,f93]) ).
fof(f194,plain,
! [X0] :
( mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| ~ mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,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)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f193,f93]) ).
fof(f195,plain,
! [X0] :
( mem(X0,s(s(u(u(e,s(e)),s(u(e,s(e)))))))
| ~ mem(X0,s(s(u(e,s(e)))))
| mem(X0,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)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0 ),
inference(resolution,[],[f194,f93]) ).
fof(f196,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ mem(X0,s(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)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| s(u(u(e,s(e)),s(u(e,s(e))))) = X0 ),
inference(resolution,[],[f195,f93]) ).
fof(f197,plain,
! [X0] :
( ~ mem(X0,s(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)))))) = X0
| u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) = X0
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| s(u(u(e,s(e)),s(u(e,s(e))))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0 ),
inference(resolution,[],[f196,f93]) ).
fof(f198,plain,
( 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))))))
| s(u(e,s(e))) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))
| s(u(e,s(e))) = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| s(u(e,s(e))) = s(u(u(e,s(e)),s(u(e,s(e)))))
| s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e)))) ),
inference(resolution,[],[f197,f172]) ).
fof(f200,definition,
( spl17_3
<=> s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f201,plain,
( s(u(e,s(e))) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl17_4
<=> s(u(e,s(e))) = s(u(u(e,s(e)),s(u(e,s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f204,plain,
( s(u(e,s(e))) = s(u(u(e,s(e)),s(u(e,s(e)))))
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,definition,
( spl17_5
<=> s(u(e,s(e))) = u(s(u(e,s(e))),s(s(u(e,s(e))))) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f207,plain,
( s(u(e,s(e))) = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl17_6
<=> s(u(e,s(e))) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f210,plain,
( s(u(e,s(e))) = u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,definition,
( spl17_7
<=> 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)))))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f213,plain,
( 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))))))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( spl17_3
| spl17_4
| spl17_5
| spl17_6
| spl17_7 ),
inference(avatar_split_clause,[],[f198,f212,f209,f206,f203,f200]) ).
fof(f227,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_3 ),
inference(superposition,[],[f97,f201]) ).
fof(f235,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl17_3 ),
inference(resolution,[],[f227,f93]) ).
fof(f237,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(e,s(e)) = X0 )
| ~ spl17_3 ),
inference(resolution,[],[f235,f96]) ).
fof(f238,plain,
( e = u(e,s(e))
| ~ spl17_3 ),
inference(resolution,[],[f237,f172]) ).
fof(f253,plain,
( s(e) = u(e,s(e))
| ~ spl17_3 ),
inference(superposition,[],[f201,f238]) ).
fof(f260,plain,
( e = s(e)
| ~ spl17_3 ),
inference(forward_demodulation,[],[f253,f238]) ).
fof(f353,plain,
( mem(e,e)
| ~ spl17_3 ),
inference(superposition,[],[f172,f260]) ).
fof(f354,plain,
( $false
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f353,f91]) ).
fof(f355,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f515,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 )
| ~ spl17_4 ),
inference(superposition,[],[f93,f204]) ).
fof(f517,plain,
( u(e,s(e)) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_4 ),
inference(resolution,[],[f515,f172]) ).
fof(f531,plain,
( ! [X0] :
( ~ mem(X0,s(u(e,s(e))))
| mem(X0,u(e,s(e))) )
| ~ spl17_4 ),
inference(superposition,[],[f96,f517]) ).
fof(f545,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl17_4 ),
inference(resolution,[],[f531,f172]) ).
fof(f546,plain,
( mem(u(e,s(e)),s(e))
| mem(u(e,s(e)),e)
| ~ spl17_4 ),
inference(resolution,[],[f545,f95]) ).
fof(f547,plain,
( mem(u(e,s(e)),s(e))
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f546,f91]) ).
fof(f548,plain,
( e = u(e,s(e))
| ~ spl17_4 ),
inference(resolution,[],[f547,f93]) ).
fof(f567,plain,
( mem(e,e)
| ~ spl17_4 ),
inference(superposition,[],[f545,f548]) ).
fof(f573,plain,
( $false
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f567,f91]) ).
fof(f574,plain,
~ spl17_4,
inference(avatar_contradiction_clause,[],[f573]) ).
fof(f636,plain,
( ! [X0] :
( ~ mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(u(e,s(e)))) )
| ~ spl17_5 ),
inference(superposition,[],[f96,f207]) ).
fof(f638,plain,
( mem(s(u(e,s(e))),s(u(e,s(e))))
| ~ spl17_5 ),
inference(resolution,[],[f636,f172]) ).
fof(f639,plain,
( u(e,s(e)) = s(u(e,s(e)))
| ~ spl17_5 ),
inference(resolution,[],[f638,f93]) ).
fof(f658,plain,
( mem(u(e,s(e)),u(e,s(e)))
| ~ spl17_5 ),
inference(superposition,[],[f172,f639]) ).
fof(f784,plain,
( mem(u(e,s(e)),s(e))
| mem(u(e,s(e)),e)
| ~ spl17_5 ),
inference(resolution,[],[f658,f95]) ).
fof(f785,plain,
( mem(u(e,s(e)),s(e))
| ~ spl17_5 ),
inference(forward_subsumption_resolution,[],[f784,f91]) ).
fof(f786,plain,
( e = u(e,s(e))
| ~ spl17_5 ),
inference(resolution,[],[f785,f93]) ).
fof(f802,plain,
( mem(s(e),s(e))
| ~ spl17_5 ),
inference(superposition,[],[f638,f786]) ).
fof(f803,plain,
( e = s(e)
| ~ spl17_5 ),
inference(superposition,[],[f639,f786]) ).
fof(f812,plain,
( mem(e,e)
| ~ spl17_5 ),
inference(forward_demodulation,[],[f802,f803]) ).
fof(f829,plain,
( $false
| ~ spl17_5 ),
inference(forward_subsumption_resolution,[],[f812,f91]) ).
fof(f830,plain,
~ spl17_5,
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f967,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_6 ),
inference(superposition,[],[f97,f210]) ).
fof(f973,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl17_6 ),
inference(resolution,[],[f967,f93]) ).
fof(f975,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(e,s(e)) = X0 )
| ~ spl17_6 ),
inference(resolution,[],[f973,f96]) ).
fof(f976,plain,
( e = u(e,s(e))
| ~ spl17_6 ),
inference(resolution,[],[f975,f172]) ).
fof(f996,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(e)) )
| ~ spl17_6 ),
inference(superposition,[],[f96,f976]) ).
fof(f997,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl17_6 ),
inference(forward_subsumption_resolution,[],[f996,f91]) ).
fof(f1066,plain,
( $false
| ~ spl17_6 ),
inference(unit_resulting_resolution,[],[f997,f172]) ).
fof(f1069,plain,
~ spl17_6,
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1077,plain,
( ! [X0] :
( ~ mem(X0,u(u(e,s(e)),s(u(e,s(e)))))
| mem(X0,s(u(e,s(e)))) )
| ~ spl17_7 ),
inference(superposition,[],[f97,f213]) ).
fof(f1081,plain,
( ! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e))) )
| ~ spl17_7 ),
inference(resolution,[],[f1077,f97]) ).
fof(f1086,plain,
( ! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(e,s(e)) = X0 )
| ~ spl17_7 ),
inference(resolution,[],[f1081,f93]) ).
fof(f1088,plain,
( ! [X0] :
( ~ mem(X0,s(e))
| u(e,s(e)) = X0 )
| ~ spl17_7 ),
inference(resolution,[],[f1086,f96]) ).
fof(f1089,plain,
( e = u(e,s(e))
| ~ spl17_7 ),
inference(resolution,[],[f1088,f172]) ).
fof(f1103,plain,
( s(e) = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl17_7 ),
inference(superposition,[],[f213,f1089]) ).
fof(f1114,plain,
( s(e) = u(e,s(e))
| ~ spl17_7 ),
inference(forward_demodulation,[],[f1103,f1089]) ).
fof(f1129,plain,
( e = s(e)
| ~ spl17_7 ),
inference(forward_demodulation,[],[f1114,f1089]) ).
fof(f1207,plain,
( mem(e,e)
| ~ spl17_7 ),
inference(superposition,[],[f172,f1129]) ).
fof(f1208,plain,
( $false
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f1207,f91]) ).
fof(f1209,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f1208]) ).
cnf(s2,plain,
( spl17_3
| spl17_4
| spl17_5
| spl17_6
| spl17_7 ),
inference(sat_conversion,[],[f214]) ).
cnf(s3,plain,
~ spl17_3,
inference(sat_conversion,[],[f355]) ).
cnf(s4,plain,
~ spl17_4,
inference(sat_conversion,[],[f574]) ).
cnf(s7,plain,
~ spl17_5,
inference(sat_conversion,[],[f830]) ).
cnf(s9,plain,
~ spl17_6,
inference(sat_conversion,[],[f1069]) ).
cnf(s10,plain,
~ spl17_7,
inference(sat_conversion,[],[f1209]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s10,s9,s7,s4,s3]) ).
fof(f1355,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV571+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 06:38:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.75/1.99 % (151027)Detected formulas, will run a generic FOF schedule.
% 6.75/1.99 % (151035)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3568389274:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.75/1.99 % (151035)Refutation not found, incomplete strategy
% 6.75/1.99 % (151035)------------------------------
% 6.75/1.99 % (151035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151035)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151035)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.99 % (151035)Time elapsed: 0.001 s
% 6.75/1.99 % (151035)Peak memory usage: 88 MB
% 6.75/1.99 % (151033)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=1038527503:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.75/1.99 % (151038)dis-21_1_sil=8000:lcm=predicate:random_seed=4013898969: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)
% 6.75/1.99 % (151036)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1994078301:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.75/1.99 % (151032)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=2202549219:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.75/1.99 % (151034)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=1746450556:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.75/1.99 % (151037)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1564805501:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.75/1.99 % (151038)Instruction limit reached!
% 6.75/1.99 % (151038)------------------------------
% 6.75/1.99 % (151038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151038)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151038)Termination reason: Instruction limit
% 6.75/1.99 % (151038)Termination phase: Saturation
% 6.75/1.99 % (151038)Time elapsed: 0.065 s
% 6.75/1.99 % (151038)Peak memory usage: 89 MB
% 6.75/1.99 % (151038)Instructions burned: 129 (million)
% 6.75/1.99 % (151036)Instruction limit reached!
% 6.75/1.99 % (151036)------------------------------
% 6.75/1.99 % (151036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151036)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151036)Termination reason: Instruction limit
% 6.75/1.99 % (151036)Termination phase: Saturation
% 6.75/1.99 % (151036)Time elapsed: 0.069 s
% 6.75/1.99 % (151036)Peak memory usage: 88 MB
% 6.75/1.99 % (151036)Instructions burned: 120 (million)
% 6.75/1.99 % (151037)Instruction limit reached!
% 6.75/1.99 % (151037)------------------------------
% 6.75/1.99 % (151037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151037)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151037)Termination reason: Instruction limit
% 6.75/1.99 % (151037)Termination phase: Saturation
% 6.75/1.99 % (151037)Time elapsed: 0.090 s
% 6.75/1.99 % (151037)Peak memory usage: 89 MB
% 6.75/1.99 % (151037)Instructions burned: 139 (million)
% 6.75/1.99 % (151035)------------------------------
% 6.75/1.99 % (151035)------------------------------
% 6.75/1.99 % (151047)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4277905617:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.75/1.99 % (151046)lrs+10_1_sil=8000:sp=occurrence:random_seed=3717588599:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.75/1.99 % (151049)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=1375689286:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.75/1.99 % (151048)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2351050136:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.75/1.99 % (151047)Instruction limit reached!
% 6.75/1.99 % (151047)------------------------------
% 6.75/1.99 % (151047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151047)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151047)Termination reason: Instruction limit
% 6.75/1.99 % (151047)Termination phase: Saturation
% 6.75/1.99 % (151047)Time elapsed: 0.077 s
% 6.75/1.99 % (151047)Peak memory usage: 89 MB
% 6.75/1.99 % (151047)Instructions burned: 158 (million)
% 6.75/1.99 % (151049)Instruction limit reached!
% 6.75/1.99 % (151049)------------------------------
% 6.75/1.99 % (151049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151049)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151049)Termination reason: Instruction limit
% 6.75/1.99 % (151049)Termination phase: Saturation
% 6.75/1.99 % (151049)Time elapsed: 0.075 s
% 6.75/1.99 % (151049)Peak memory usage: 91 MB
% 6.75/1.99 % (151049)Instructions burned: 251 (million)
% 6.75/1.99 % (151046)Instruction limit reached!
% 6.75/1.99 % (151046)------------------------------
% 6.75/1.99 % (151046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151046)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151046)Termination reason: Instruction limit
% 6.75/1.99 % (151046)Termination phase: Saturation
% 6.75/1.99 % (151046)Time elapsed: 0.172 s
% 6.75/1.99 % (151046)Peak memory usage: 91 MB
% 6.75/1.99 % (151046)Instructions burned: 285 (million)
% 6.75/1.99 % (151048)Instruction limit reached!
% 6.75/1.99 % (151048)------------------------------
% 6.75/1.99 % (151048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151048)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151048)Termination reason: Instruction limit
% 6.75/1.99 % (151048)Termination phase: Saturation
% 6.75/1.99 % (151048)Time elapsed: 0.182 s
% 6.75/1.99 % (151048)Peak memory usage: 91 MB
% 6.75/1.99 % (151048)Instructions burned: 326 (million)
% 6.75/1.99 % (151055)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2474650945:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.75/1.99 % (151054)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=976778612:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.75/1.99 % (151054)Refutation not found, incomplete strategy
% 6.75/1.99 % (151054)------------------------------
% 6.75/1.99 % (151054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151054)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151054)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.99 % (151054)Time elapsed: 0.002 s
% 6.75/1.99 % (151054)Peak memory usage: 88 MB
% 6.75/1.99 % (151054)Instructions burned: 1 (million)
% 6.75/1.99 % (151056)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3774877128:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.75/1.99 % (151034)Refutation not found, incomplete strategy
% 6.75/1.99 % (151034)------------------------------
% 6.75/1.99 % (151034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151034)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151034)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.99 % (151034)Time elapsed: 0.556 s
% 6.75/1.99 % (151034)Peak memory usage: 125 MB
% 6.75/1.99 % (151034)Instructions burned: 826 (million)
% 6.75/1.99 % (151057)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2197225769:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.75/1.99 % (151056)Instruction limit reached!
% 6.75/1.99 % (151056)------------------------------
% 6.75/1.99 % (151056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151056)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151056)Termination reason: Instruction limit
% 6.75/1.99 % (151056)Termination phase: Saturation
% 6.75/1.99 % (151056)Time elapsed: 0.066 s
% 6.75/1.99 % (151056)Peak memory usage: 89 MB
% 6.75/1.99 % (151056)Instructions burned: 115 (million)
% 6.75/1.99 % (151057)Instruction limit reached!
% 6.75/1.99 % (151057)------------------------------
% 6.75/1.99 % (151057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151057)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151057)Termination reason: Instruction limit
% 6.75/1.99 % (151057)Termination phase: Saturation
% 6.75/1.99 % (151057)Time elapsed: 0.058 s
% 6.75/1.99 % (151057)Peak memory usage: 88 MB
% 6.75/1.99 % (151057)Instructions burned: 129 (million)
% 6.75/1.99 % (151054)------------------------------
% 6.75/1.99 % (151054)------------------------------
% 6.75/1.99 % (151033)First to succeed.
% 6.75/1.99 % (151033)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-151027"
% 6.75/1.99 % (151032)Also succeeded, but the first one will report.
% 6.75/1.99 % (151062)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2071701156:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.75/1.99 % (151034)------------------------------
% 6.75/1.99 % (151034)------------------------------
% 6.75/1.99 % (151063)lrs+10_1_sil=8000:sp=occurrence:random_seed=2934184321:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.75/1.99 % (151062)Instruction limit reached!
% 6.75/1.99 % (151062)------------------------------
% 6.75/1.99 % (151062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151062)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151062)Termination reason: Instruction limit
% 6.75/1.99 % (151062)Termination phase: Saturation
% 6.75/1.99 % (151062)Time elapsed: 0.059 s
% 6.75/1.99 % (151062)Peak memory usage: 88 MB
% 6.75/1.99 % (151062)Instructions burned: 115 (million)
% 6.75/1.99 % (151064)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=953356762:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.75/1.99 % (151064)Refutation not found, incomplete strategy
% 6.75/1.99 % (151064)------------------------------
% 6.75/1.99 % (151064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/1.99 % (151064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.99 % (151064)CaDiCaL version: 2.1.3
% 6.75/1.99 % (151064)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.99 % (151064)Time elapsed: 0.001 s
% 6.75/1.99 % (151064)Peak memory usage: 88 MB
% 6.75/1.99 % (151055)Also succeeded, but the first one will report.
% 6.75/1.99 % (151033)Refutation found. Thanks to Tanya!
% 6.75/1.99 % SZS status Theorem for theBenchmark
% 6.75/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.56/2.18 % (151033)------------------------------
% 8.56/2.18 % (151033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.56/2.18 % (151033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.56/2.18 % (151033)CaDiCaL version: 2.1.3
% 8.56/2.18 % (151033)Termination reason: Refutation
% 8.56/2.18 % (151033)Time elapsed: 0.689 s
% 8.56/2.18 % (151033)Peak memory usage: 129 MB
% 8.56/2.18 % (151033)Instructions burned: 1032 (million)
% 8.56/2.18 % (151033)------------------------------
% 8.56/2.18 % (151033)------------------------------
% 8.56/2.18 % (151027)Success in time 1.137 s
% 8.56/2.18 % Vampire exiting
%------------------------------------------------------------------------------