%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV572+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:59:30 PM UTC 2026
% Result : Theorem 7.56s 1.72s
% Output : Refutation 7.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 15
% Syntax : Number of formulae : 119 ( 28 unt; 8 def)
% Number of atoms : 372 ( 96 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 369 ( 116 ~; 229 |; 11 &)
% ( 12 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 92 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',subq_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',n_def) ).
fof(f26,conjecture,
~ subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_4703_4702) ).
fof(f27,negated_conjecture,
~ ~ subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,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,[],[f29]) ).
fof(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f36,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(f37,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,[],[f36]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f45,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f58,plain,
subq(u(u(u(s(s(s(n(e)))),n(n(s(n(e))))),n(a(n(e),n(n(e))))),s(a(s(s(n(e))),n(n(e))))),u(a(u(s(s(s(n(e)))),n(n(s(n(e))))),a(n(e),n(n(e)))),a(s(n(n(e))),a(s(s(n(e))),n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f55,f54]) ).
fof(f60,plain,
subq(u(u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(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))))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(definition_unfolding,[],[f58,f59,f59,f59,f59,f59,f54,f59,f59,f59,f54,f59,f59,f59,f54,f59,f59,f59,f59,f54,f59,f59,f59,f54,f59,f59,f54,f59,f59,f59]) ).
fof(f61,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f47]) ).
fof(f1419,plain,
! [X2,X3,X0,X1] :
( ~ subq(u(X1,X3),X2)
| mem(X0,X2)
| ~ mem(X0,X1) ),
inference(resolution,[],[f50,f41]) ).
fof(f3381,definition,
( spl1_73
<=> ! [X0] : ~ mem(X0,s(e)) ),
introduced(definition,[new_symbols(definition,[spl1_73])],[avatar_definition]) ).
fof(f3382,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl1_73 ),
inference(avatar_component_clause,[],[f3381]) ).
fof(f3393,plain,
( $false
| ~ spl1_73 ),
inference(resolution,[],[f3382,f61]) ).
fof(f3397,plain,
~ spl1_73,
inference(avatar_contradiction_clause,[],[f3393]) ).
fof(f5756,definition,
( spl1_83
<=> ! [X1] : ~ mem(X1,s(s(u(e,s(e))))) ),
introduced(definition,[new_symbols(definition,[spl1_83])],[avatar_definition]) ).
fof(f5757,plain,
( ! [X1] : ~ mem(X1,s(s(u(e,s(e)))))
| ~ spl1_83 ),
inference(avatar_component_clause,[],[f5756]) ).
fof(f5762,plain,
( $false
| ~ spl1_83 ),
inference(resolution,[],[f5757,f61]) ).
fof(f5766,plain,
~ spl1_83,
inference(avatar_contradiction_clause,[],[f5762]) ).
fof(f12148,definition,
( spl1_98
<=> e = u(e,s(e)) ),
introduced(definition,[new_symbols(definition,[spl1_98])],[avatar_definition]) ).
fof(f12149,plain,
( e != u(e,s(e))
| spl1_98 ),
inference(avatar_component_clause,[],[f12148]) ).
fof(f12150,plain,
( e = u(e,s(e))
| ~ spl1_98 ),
inference(avatar_component_clause,[],[f12148]) ).
fof(f12178,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(e)) )
| ~ spl1_98 ),
inference(superposition,[],[f49,f12150]) ).
fof(f12180,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl1_98 ),
inference(forward_subsumption_resolution,[],[f12178,f45]) ).
fof(f12219,plain,
( spl1_73
| ~ spl1_98 ),
inference(avatar_split_clause,[],[f12180,f12148,f3381]) ).
fof(f13185,definition,
( spl1_100
<=> e = s(u(e,s(e))) ),
introduced(definition,[new_symbols(definition,[spl1_100])],[avatar_definition]) ).
fof(f13186,plain,
( e != s(u(e,s(e)))
| spl1_100 ),
inference(avatar_component_clause,[],[f13185]) ).
fof(f13187,plain,
( e = s(u(e,s(e)))
| ~ spl1_100 ),
inference(avatar_component_clause,[],[f13185]) ).
fof(f13215,plain,
( mem(u(e,s(e)),e)
| ~ spl1_100 ),
inference(superposition,[],[f61,f13187]) ).
fof(f13228,plain,
( $false
| ~ spl1_100 ),
inference(forward_subsumption_resolution,[],[f13215,f45]) ).
fof(f13229,plain,
~ spl1_100,
inference(avatar_contradiction_clause,[],[f13228]) ).
fof(f14543,definition,
( spl1_103
<=> e = s(s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl1_103])],[avatar_definition]) ).
fof(f14544,plain,
( e != s(s(u(e,s(e))))
| spl1_103 ),
inference(avatar_component_clause,[],[f14543]) ).
fof(f14545,plain,
( e = s(s(u(e,s(e))))
| ~ spl1_103 ),
inference(avatar_component_clause,[],[f14543]) ).
fof(f14589,plain,
( mem(s(u(e,s(e))),e)
| ~ spl1_103 ),
inference(superposition,[],[f61,f14545]) ).
fof(f14601,plain,
( $false
| ~ spl1_103 ),
inference(forward_subsumption_resolution,[],[f14589,f45]) ).
fof(f14602,plain,
~ spl1_103,
inference(avatar_contradiction_clause,[],[f14601]) ).
fof(f15555,definition,
( spl1_107
<=> e = u(s(u(e,s(e))),s(s(u(e,s(e))))) ),
introduced(definition,[new_symbols(definition,[spl1_107])],[avatar_definition]) ).
fof(f15556,plain,
( e != u(s(u(e,s(e))),s(s(u(e,s(e)))))
| spl1_107 ),
inference(avatar_component_clause,[],[f15555]) ).
fof(f15557,plain,
( e = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| ~ spl1_107 ),
inference(avatar_component_clause,[],[f15555]) ).
fof(f15597,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(u(e,s(e)))) )
| ~ spl1_107 ),
inference(superposition,[],[f50,f15557]) ).
fof(f15598,plain,
( ! [X0] : ~ mem(X0,s(u(e,s(e))))
| ~ spl1_107 ),
inference(forward_subsumption_resolution,[],[f15597,f45]) ).
fof(f15603,plain,
( $false
| ~ spl1_107 ),
inference(resolution,[],[f15598,f61]) ).
fof(f15607,plain,
~ spl1_107,
inference(avatar_contradiction_clause,[],[f15603]) ).
fof(f16164,definition,
( spl1_110
<=> e = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) ),
introduced(definition,[new_symbols(definition,[spl1_110])],[avatar_definition]) ).
fof(f16165,plain,
( e != u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| spl1_110 ),
inference(avatar_component_clause,[],[f16164]) ).
fof(f16166,plain,
( e = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| ~ spl1_110 ),
inference(avatar_component_clause,[],[f16164]) ).
fof(f16168,definition,
( spl1_111
<=> e = u(u(e,s(e)),s(u(e,s(e)))) ),
introduced(definition,[new_symbols(definition,[spl1_111])],[avatar_definition]) ).
fof(f16169,plain,
( e != u(u(e,s(e)),s(u(e,s(e))))
| spl1_111 ),
inference(avatar_component_clause,[],[f16168]) ).
fof(f16170,plain,
( e = u(u(e,s(e)),s(u(e,s(e))))
| ~ spl1_111 ),
inference(avatar_component_clause,[],[f16168]) ).
fof(f16206,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,u(e,s(e))) )
| ~ spl1_110 ),
inference(superposition,[],[f50,f16166]) ).
fof(f16207,plain,
( ! [X0] : ~ mem(X0,u(e,s(e)))
| ~ spl1_110 ),
inference(forward_subsumption_resolution,[],[f16206,f45]) ).
fof(f16210,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl1_110 ),
inference(resolution,[],[f16207,f49]) ).
fof(f16215,plain,
( spl1_73
| ~ spl1_110 ),
inference(avatar_split_clause,[],[f16210,f16164,f3381]) ).
fof(f16247,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,u(e,s(e))) )
| ~ spl1_111 ),
inference(superposition,[],[f50,f16170]) ).
fof(f16248,plain,
( ! [X0] : ~ mem(X0,u(e,s(e)))
| ~ spl1_111 ),
inference(forward_subsumption_resolution,[],[f16247,f45]) ).
fof(f16251,plain,
( ! [X0] : ~ mem(X0,s(e))
| ~ spl1_111 ),
inference(resolution,[],[f16248,f49]) ).
fof(f16256,plain,
( spl1_73
| ~ spl1_111 ),
inference(avatar_split_clause,[],[f16251,f16168,f3381]) ).
fof(f16968,plain,
! [X0] :
( mem(X0,u(u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))))
| ~ mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(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)))))))))) ),
inference(resolution,[],[f1419,f60]) ).
fof(f19671,plain,
! [X0] :
( ~ mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(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(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))) ),
inference(resolution,[],[f16968,f48]) ).
fof(f19686,plain,
! [X0] :
( mem(X0,u(u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(u(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))))))))) ),
inference(resolution,[],[f19671,f49]) ).
fof(f19713,plain,
! [X0] :
( ~ mem(X0,u(u(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(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(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,u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))) ),
inference(resolution,[],[f19686,f48]) ).
fof(f19716,plain,
! [X0] :
( mem(X0,u(s(s(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(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,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))
| ~ mem(X0,u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))) ),
inference(resolution,[],[f19713,f50]) ).
fof(f19723,plain,
! [X0] :
( mem(X0,u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(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,u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| mem(X0,s(s(s(u(e,s(e)))))) ),
inference(resolution,[],[f19716,f48]) ).
fof(f19726,plain,
! [X0] :
( mem(X0,u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))
| ~ mem(X0,u(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(s(s(u(e,s(e))))))
| mem(X0,s(u(s(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(e,s(e)))))) ),
inference(resolution,[],[f19723,f48]) ).
fof(f19729,plain,
! [X0] :
( mem(X0,s(u(s(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(s(s(u(e,s(e))))))
| ~ mem(X0,u(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(e,s(e))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e)))))) ),
inference(resolution,[],[f19726,f48]) ).
fof(f19747,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))))
| mem(X0,s(s(s(u(e,s(e))))))
| ~ mem(X0,u(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(e,s(e))))))
| mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f19729,f46]) ).
fof(f19750,plain,
! [X0] :
( ~ mem(X0,u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))))
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,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,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0 ),
inference(resolution,[],[f19747,f46]) ).
fof(f19753,plain,
! [X0] :
( mem(X0,s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e))) ),
inference(resolution,[],[f19750,f50]) ).
fof(f19761,plain,
! [X0] :
( mem(X0,u(s(u(e,s(e))),s(s(u(e,s(e))))))
| mem(X0,s(s(s(u(e,s(e))))))
| mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0 ),
inference(resolution,[],[f19753,f46]) ).
fof(f19764,plain,
! [X0] :
( mem(X0,s(u(u(e,s(e)),s(u(e,s(e))))))
| mem(X0,s(s(s(u(e,s(e))))))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(u(e,s(e)))) ),
inference(resolution,[],[f19761,f48]) ).
fof(f19767,plain,
! [X0] :
( mem(X0,s(s(s(u(e,s(e))))))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| mem(X0,s(s(u(e,s(e)))))
| mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0 ),
inference(resolution,[],[f19764,f46]) ).
fof(f19770,plain,
! [X0] :
( mem(X0,s(s(u(e,s(e)))))
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| mem(X0,s(u(e,s(e))))
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(s(u(e,s(e)))) = X0 ),
inference(resolution,[],[f19767,f46]) ).
fof(f19773,plain,
! [X0] :
( mem(X0,s(u(e,s(e))))
| ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(s(u(e,s(e)))) = X0
| s(u(e,s(e))) = X0 ),
inference(resolution,[],[f19770,f46]) ).
fof(f19776,plain,
! [X0] :
( ~ mem(X0,u(e,s(e)))
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(s(u(e,s(e)))) = X0
| s(u(e,s(e))) = X0
| u(e,s(e)) = X0 ),
inference(resolution,[],[f19773,f46]) ).
fof(f19780,plain,
! [X0] :
( ~ mem(X0,s(e))
| u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e)))))) = X0
| u(u(e,s(e)),s(u(e,s(e)))) = X0
| s(s(u(e,s(e)))) = X0
| s(u(e,s(e))) = X0
| u(e,s(e)) = X0
| u(s(u(e,s(e))),s(s(u(e,s(e))))) = X0 ),
inference(resolution,[],[f19776,f49]) ).
fof(f19793,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = u(u(e,s(e)),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = u(u(e,s(e)),s(u(e,s(e))))
| e = s(s(u(e,s(e))))
| e = s(u(e,s(e)))
| e = u(e,s(e))
| e = u(s(u(e,s(e))),s(s(u(e,s(e))))) ),
inference(resolution,[],[f19780,f61]) ).
fof(f19800,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = u(u(e,s(e)),s(u(e,s(e))))
| e = s(s(u(e,s(e))))
| e = s(u(e,s(e)))
| e = u(e,s(e))
| e = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| spl1_110 ),
inference(forward_subsumption_resolution,[],[f19793,f16165]) ).
fof(f19803,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = s(s(u(e,s(e))))
| e = s(u(e,s(e)))
| e = u(e,s(e))
| e = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| spl1_110
| spl1_111 ),
inference(forward_subsumption_resolution,[],[f19800,f16169]) ).
fof(f19806,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = s(u(e,s(e)))
| e = u(e,s(e))
| e = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| spl1_103
| spl1_110
| spl1_111 ),
inference(forward_subsumption_resolution,[],[f19803,f14544]) ).
fof(f19809,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = u(e,s(e))
| e = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| spl1_100
| spl1_103
| spl1_110
| spl1_111 ),
inference(forward_subsumption_resolution,[],[f19806,f13186]) ).
fof(f19812,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| e = u(s(u(e,s(e))),s(s(u(e,s(e)))))
| spl1_98
| spl1_100
| spl1_103
| spl1_110
| spl1_111 ),
inference(forward_subsumption_resolution,[],[f19809,f12149]) ).
fof(f19815,plain,
( e = u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))
| spl1_98
| spl1_100
| spl1_103
| spl1_107
| spl1_110
| spl1_111 ),
inference(forward_subsumption_resolution,[],[f19812,f15556]) ).
fof(f19879,plain,
( ! [X0] :
( mem(X0,e)
| ~ mem(X0,s(s(u(e,s(e))))) )
| spl1_98
| spl1_100
| spl1_103
| spl1_107
| spl1_110
| spl1_111 ),
inference(superposition,[],[f50,f19815]) ).
fof(f19884,plain,
( ! [X0] : ~ mem(X0,s(s(u(e,s(e)))))
| spl1_98
| spl1_100
| spl1_103
| spl1_107
| spl1_110
| spl1_111 ),
inference(forward_subsumption_resolution,[],[f19879,f45]) ).
fof(f19899,plain,
( spl1_83
| spl1_98
| spl1_100
| spl1_103
| spl1_107
| spl1_110
| spl1_111 ),
inference(avatar_split_clause,[],[f19884,f16168,f16164,f15555,f14543,f13185,f12148,f5756]) ).
cnf(s1619,plain,
~ spl1_73,
inference(sat_conversion,[],[f3397]) ).
cnf(s2485,plain,
~ spl1_83,
inference(sat_conversion,[],[f5766]) ).
cnf(s4761,plain,
( spl1_73
| ~ spl1_98 ),
inference(sat_conversion,[],[f12219]) ).
cnf(s5225,plain,
~ spl1_100,
inference(sat_conversion,[],[f13229]) ).
cnf(s5839,plain,
~ spl1_103,
inference(sat_conversion,[],[f14602]) ).
cnf(s6357,plain,
~ spl1_107,
inference(sat_conversion,[],[f15607]) ).
cnf(s6757,plain,
( spl1_73
| ~ spl1_110 ),
inference(sat_conversion,[],[f16215]) ).
cnf(s6799,plain,
( spl1_73
| ~ spl1_111 ),
inference(sat_conversion,[],[f16256]) ).
cnf(s9819,plain,
( spl1_83
| spl1_98
| spl1_100
| spl1_103
| spl1_107
| spl1_110
| spl1_111 ),
inference(sat_conversion,[],[f19899]) ).
cnf(s9830,plain,
~ spl1_111,
inference(rat,[],[s6799,s1619]) ).
cnf(s9831,plain,
~ spl1_110,
inference(rat,[],[s6757,s1619]) ).
cnf(s9833,plain,
~ spl1_98,
inference(rat,[],[s4761,s1619]) ).
cnf(s9835,plain,
$false,
inference(rat,[],[s9819,s9830,s2485,s6357,s5839,s5225,s9831,s9833]) ).
fof(f19900,plain,
$false,
inference(avatar_sat_refutation,[],[s9835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV572+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 06:37:43 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.56/1.71 % (3209117)Will run a generic schedule for satisfiability detection.
% 7.56/1.71 % (3209126)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3735394984:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.56/1.71 % (3209123)% WARNING: option uhcvi not known.
% 7.56/1.71 % (3209122)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1832154844_2999 on theBenchmark for (2999ds/0Mi)
% 7.56/1.71 % (3209123)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1605663393:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.56/1.71 % (3209127)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1804450439:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.56/1.71 % (3209124)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4069540503:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.56/1.71 % (3209125)dis+10_1_sil=32000:sp=arity:random_seed=1393802925:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.56/1.71 % (3209128)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1745681782:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.56/1.71 % TRYING [1]
% 7.56/1.71 % TRYING [2]
% 7.56/1.71 % TRYING [3]
% 7.56/1.71 % TRYING [4]
% 7.56/1.71 % TRYING [5]
% 7.56/1.71 % TRYING [6]
% 7.56/1.71 % TRYING [7]
% 7.56/1.71 % (3209126)Instruction limit reached!
% 7.56/1.71 % (3209126)------------------------------
% 7.56/1.71 % (3209126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.71 % (3209126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.71 % (3209126)CaDiCaL version: 2.1.3
% 7.56/1.71 % (3209126)Termination reason: Instruction limit
% 7.56/1.71 % (3209126)Termination phase: Saturation
% 7.56/1.71 % (3209126)Time elapsed: 0.039 s
% 7.56/1.71 % (3209126)Peak memory usage: 12 MB
% 7.56/1.71 % (3209126)Instructions burned: 118 (million)
% 7.56/1.71 % (3209136)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=895963824:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.56/1.71 % TRYING [1]
% 7.56/1.71 % TRYING [2]
% 7.56/1.71 % TRYING [3]
% 7.56/1.71 % TRYING [4]
% 7.56/1.71 % TRYING [5]
% 7.56/1.71 % TRYING [6]
% 7.56/1.71 % TRYING [8]
% 7.56/1.71 % (3209125)Instruction limit reached!
% 7.56/1.71 % (3209125)------------------------------
% 7.56/1.71 % (3209125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.71 % (3209125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.71 % (3209125)CaDiCaL version: 2.1.3
% 7.56/1.71 % (3209125)Termination reason: Instruction limit
% 7.56/1.71 % (3209125)Termination phase: Saturation
% 7.56/1.71 % (3209125)Time elapsed: 0.062 s
% 7.56/1.71 % (3209125)Peak memory usage: 12 MB
% 7.56/1.71 % (3209125)Instructions burned: 103 (million)
% 7.56/1.71 % TRYING [7]
% 7.56/1.71 % (3209127)Instruction limit reached!
% 7.56/1.71 % (3209127)------------------------------
% 7.56/1.71 % (3209127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.71 % (3209127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.71 % (3209127)CaDiCaL version: 2.1.3
% 7.56/1.71 % (3209127)Termination reason: Instruction limit
% 7.56/1.71 % (3209127)Termination phase: Saturation
% 7.56/1.71 % (3209127)Time elapsed: 0.078 s
% 7.56/1.71 % (3209127)Peak memory usage: 13 MB
% 7.56/1.71 % (3209127)Instructions burned: 132 (million)
% 7.56/1.71 % (3209138)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4061589616:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.56/1.72 % (3209128)Instruction limit reached!
% 7.56/1.72 % (3209128)------------------------------
% 7.56/1.72 % (3209128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209128)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209128)Termination reason: Instruction limit
% 7.56/1.72 % (3209128)Termination phase: Saturation
% 7.56/1.72 % (3209128)Time elapsed: 0.094 s
% 7.56/1.72 % (3209128)Peak memory usage: 12 MB
% 7.56/1.72 % (3209128)Instructions burned: 159 (million)
% 7.56/1.72 % (3209139)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=80136222:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.56/1.72 % TRYING [8]
% 7.56/1.72 % (3209141)ott-21_1_sil=16000:fs=off:random_seed=390795217:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.56/1.72 % TRYING [9]
% 7.56/1.72 % (3209138)Instruction limit reached!
% 7.56/1.72 % (3209138)------------------------------
% 7.56/1.72 % (3209138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209138)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209138)Termination reason: Instruction limit
% 7.56/1.72 % (3209138)Termination phase: Saturation
% 7.56/1.72 % (3209138)Time elapsed: 0.084 s
% 7.56/1.72 % (3209138)Peak memory usage: 13 MB
% 7.56/1.72 % (3209138)Instructions burned: 132 (million)
% 7.56/1.72 % (3209144)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=723060168:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.56/1.72 % (3209141)Instruction limit reached!
% 7.56/1.72 % (3209141)------------------------------
% 7.56/1.72 % (3209141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209141)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209141)Termination reason: Instruction limit
% 7.56/1.72 % (3209141)Termination phase: Saturation
% 7.56/1.72 % (3209141)Time elapsed: 0.094 s
% 7.56/1.72 % (3209141)Peak memory usage: 13 MB
% 7.56/1.72 % (3209141)Instructions burned: 182 (million)
% 7.56/1.72 % (3209146)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3599846600:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.56/1.72 % (3209136)Instruction limit reached!
% 7.56/1.72 % (3209136)------------------------------
% 7.56/1.72 % (3209136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209136)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209136)Termination reason: Instruction limit
% 7.56/1.72 % (3209136)Termination phase: Finite model building SAT solving
% 7.56/1.72 % (3209136)Time elapsed: 0.199 s
% 7.56/1.72 % (3209136)Peak memory usage: 19 MB
% 7.56/1.72 % (3209136)Instructions burned: 718 (million)
% 7.56/1.72 % TRYING [1]
% 7.56/1.72 % TRYING [2]
% 7.56/1.72 % TRYING [3]
% 7.56/1.72 % (3209148)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1294668677:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.56/1.72 % TRYING [4]
% 7.56/1.72 % TRYING [5]
% 7.56/1.72 % TRYING [6]
% 7.56/1.72 % TRYING [7]
% 7.56/1.72 % TRYING [8]
% 7.56/1.72 % (3209144)Instruction limit reached!
% 7.56/1.72 % (3209144)------------------------------
% 7.56/1.72 % (3209144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209144)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209144)Termination reason: Instruction limit
% 7.56/1.72 % (3209144)Termination phase: Saturation
% 7.56/1.72 % (3209144)Time elapsed: 0.305 s
% 7.56/1.72 % (3209144)Peak memory usage: 14 MB
% 7.56/1.72 % (3209144)Instructions burned: 478 (million)
% 7.56/1.72 % (3209139)Instruction limit reached!
% 7.56/1.72 % (3209139)------------------------------
% 7.56/1.72 % (3209139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209139)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209139)Termination reason: Instruction limit
% 7.56/1.72 % (3209139)Termination phase: Saturation
% 7.56/1.72 % (3209139)Time elapsed: 0.398 s
% 7.56/1.72 % (3209139)Peak memory usage: 17 MB
% 7.56/1.72 % (3209139)Instructions burned: 685 (million)
% 7.56/1.72 % (3209150)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2556279298:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.56/1.72 % (3209151)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=96643216:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.56/1.72 % TRYING [14]
% 7.56/1.72 % TRYING [10]
% 7.56/1.72 % (3209146)Instruction limit reached!
% 7.56/1.72 % (3209146)------------------------------
% 7.56/1.72 % (3209146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209146)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209146)Termination reason: Instruction limit
% 7.56/1.72 % (3209146)Termination phase: Finite model building SAT solving
% 7.56/1.72 % (3209146)Time elapsed: 0.307 s
% 7.56/1.72 % (3209146)Peak memory usage: 16 MB
% 7.56/1.72 % (3209146)Instructions burned: 865 (million)
% 7.56/1.72 % (3209154)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2151652666:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.56/1.72 % (3209148)Instruction limit reached!
% 7.56/1.72 % (3209148)------------------------------
% 7.56/1.72 % (3209148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209148)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209148)Termination reason: Instruction limit
% 7.56/1.72 % (3209148)Termination phase: Saturation
% 7.56/1.72 % (3209148)Time elapsed: 0.375 s
% 7.56/1.72 % (3209148)Peak memory usage: 22 MB
% 7.56/1.72 % (3209148)Instructions burned: 1182 (million)
% 7.56/1.72 % (3209156)fmb+10_1_sil=64000:random_seed=116305646:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.56/1.72 % TRYING [1]
% 7.56/1.72 % TRYING [2]
% 7.56/1.72 % TRYING [3]
% 7.56/1.72 % TRYING [4]
% 7.56/1.72 % TRYING [5]
% 7.56/1.72 % TRYING [6]
% 7.56/1.72 % TRYING [7]
% 7.56/1.72 % TRYING [8]
% 7.56/1.72 % TRYING [9]
% 7.56/1.72 % TRYING [10]
% 7.56/1.72 % (3209150)Instruction limit reached!
% 7.56/1.72 % (3209150)------------------------------
% 7.56/1.72 % (3209150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209150)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209150)Termination reason: Instruction limit
% 7.56/1.72 % (3209150)Termination phase: Finite model building SAT solving
% 7.56/1.72 % (3209150)Time elapsed: 0.338 s
% 7.56/1.72 % (3209150)Peak memory usage: 40 MB
% 7.56/1.72 % (3209150)Instructions burned: 889 (million)
% 7.56/1.72 % (3209158)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1041321554:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.56/1.72 % TRYING [20]
% 7.56/1.72 % (3209151)Instruction limit reached!
% 7.56/1.72 % (3209151)------------------------------
% 7.56/1.72 % (3209151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209151)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209151)Termination reason: Instruction limit
% 7.56/1.72 % (3209151)Termination phase: Saturation
% 7.56/1.72 % (3209151)Time elapsed: 0.454 s
% 7.56/1.72 % (3209151)Peak memory usage: 19 MB
% 7.56/1.72 % (3209151)Instructions burned: 692 (million)
% 7.56/1.72 % TRYING [11]
% 7.56/1.72 % (3209160)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3304995910:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.56/1.72 % TRYING [8]
% 7.56/1.72 % (3209154)Instruction limit reached!
% 7.56/1.72 % (3209154)------------------------------
% 7.56/1.72 % (3209154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209154)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209154)Termination reason: Instruction limit
% 7.56/1.72 % (3209154)Termination phase: Saturation
% 7.56/1.72 % (3209154)Time elapsed: 0.478 s
% 7.56/1.72 % (3209154)Peak memory usage: 18 MB
% 7.56/1.72 % (3209154)Instructions burned: 881 (million)
% 7.56/1.72 % (3209162)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4012188085:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.56/1.72 % TRYING [9]
% 7.56/1.72 % TRYING [12]
% 7.56/1.72 % (3209124) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3209117-3209124"...
% 7.56/1.72 % (3209124)...printing done.
% 7.56/1.72 % (3209124)Refutation found. Thanks to Tanya!
% 7.56/1.72 % SZS status Theorem for theBenchmark
% 7.56/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 7.56/1.72 % (3209124)------------------------------
% 7.56/1.72 % (3209124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.72 % (3209124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.72 % (3209124)CaDiCaL version: 2.1.3
% 7.56/1.72 % (3209124)Termination reason: Refutation
% 7.56/1.72 % (3209124)Time elapsed: 1.238 s
% 7.56/1.72 % (3209124)Peak memory usage: 21 MB
% 7.56/1.72 % (3209124)Instructions burned: 2295 (million)
% 7.56/1.72 % (3209117)Success in time 1.288 s
% 7.56/1.72 % Vampire exiting
%------------------------------------------------------------------------------