%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV563+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:58:20 PM UTC 2026
% Result : Theorem 5.28s 2.03s
% Output : Refutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 47
% Syntax : Number of formulae : 266 ( 88 unt; 37 def)
% Number of atoms : 541 ( 87 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 489 ( 214 ~; 231 |; 17 &)
% ( 24 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 19 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 132 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).
fof(f7,axiom,
! [X0,X1,X2] :
( mem(X0,m(X1,X2))
<=> ( mem(X0,X1)
& ~ mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_ax) ).
fof(f26,conjecture,
~ subq(m(p(u(n(e),n(s(n(e))))),a(n(p(s(n(e)))),n(s(n(e))))),a(a(s(n(n(e))),s(s(n(e)))),u(n(e),n(s(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_154_152) ).
fof(f27,negated_conjecture,
~ ~ subq(m(p(u(n(e),n(s(n(e))))),a(n(p(s(n(e)))),n(s(n(e))))),a(a(s(n(n(e))),s(s(n(e)))),u(n(e),n(s(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(m(p(u(n(e),n(s(n(e))))),a(n(p(s(n(e)))),n(s(n(e))))),a(a(s(n(n(e))),s(s(n(e)))),u(n(e),n(s(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(f30,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f30]) ).
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(f38,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
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(f53,plain,
! [X2,X0,X1] :
( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
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(f56,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
subq(m(p(u(n(e),n(s(n(e))))),a(n(p(s(n(e)))),n(s(n(e))))),a(a(s(n(n(e))),s(s(n(e)))),u(n(e),n(s(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(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(p(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),u(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(s(u(e,s(e)))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f58,f59,f59,f59,f54,f59,f59,f59,f59,f54,f54,f59,f59,f59,f59,f59,f59]) ).
fof(f61,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f47]) ).
fof(f62,definition,
sF1 = s(e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f63,plain,
s(e) = sF1,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF2 = u(e,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f65,plain,
u(e,sF1) = sF2,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF3 = s(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
s(sF2) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
u(sF3,sF4) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = u(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
u(sF2,sF5) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = p(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
p(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = p(sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
p(sF3) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = s(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
s(sF8) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = u(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
u(sF8,sF9) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = s(sF5),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
s(sF5) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = u(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
u(sF10,sF11) = sF12,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF13 = m(sF7,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
m(sF7,sF12) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
u(sF2,sF3) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = s(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
s(sF14) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = s(sF4),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
s(sF4) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = u(sF15,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
u(sF15,sF16) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = s(sF6),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
s(sF6) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = u(sF17,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
u(sF17,sF18) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,plain,
subq(sF13,sF19),
inference(definition_folding,[],[f60,f99,f97,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63,f95,f93,f69,f67,f65,f63,f91,f89,f67,f65,f63,f65,f63,f87,f85,f83,f71,f69,f67,f65,f63,f67,f65,f63,f81,f79,f77,f67,f65,f63,f77,f67,f65,f63,f75,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63]) ).
fof(f101,plain,
! [X0] :
( ~ subq(X0,sF3)
| mem(X0,sF8) ),
inference(superposition,[],[f57,f77]) ).
fof(f102,plain,
mem(sF2,sF3),
inference(superposition,[],[f61,f67]) ).
fof(f103,plain,
mem(sF3,sF4),
inference(superposition,[],[f61,f69]) ).
fof(f107,plain,
mem(e,sF1),
inference(superposition,[],[f61,f63]) ).
fof(f109,plain,
! [X0] :
( ~ subq(X0,sF6)
| mem(X0,sF7) ),
inference(superposition,[],[f57,f75]) ).
fof(f111,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f49,f65]) ).
fof(f113,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF5) ),
inference(superposition,[],[f49,f71]) ).
fof(f125,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f48,f65]) ).
fof(f127,plain,
! [X0] :
( ~ mem(X0,sF10)
| mem(X0,sF9)
| mem(X0,sF8) ),
inference(superposition,[],[f48,f81]) ).
fof(f128,plain,
! [X0] :
( ~ mem(X0,sF12)
| mem(X0,sF11)
| mem(X0,sF10) ),
inference(superposition,[],[f48,f85]) ).
fof(f129,plain,
! [X0] :
( ~ mem(X0,sF17)
| mem(X0,sF16)
| mem(X0,sF15) ),
inference(superposition,[],[f48,f95]) ).
fof(f130,plain,
! [X0] :
( ~ mem(X0,sF19)
| mem(X0,sF18)
| mem(X0,sF17) ),
inference(superposition,[],[f48,f99]) ).
fof(f131,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f125,f45]) ).
fof(f133,plain,
mem(e,sF2),
inference(resolution,[],[f111,f107]) ).
fof(f136,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF14) ),
inference(superposition,[],[f49,f89]) ).
fof(f140,plain,
! [X0] :
( ~ mem(X0,sF1)
| e = X0 ),
inference(superposition,[],[f46,f63]) ).
fof(f141,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f46,f67]) ).
fof(f142,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f46,f69]) ).
fof(f143,plain,
! [X0] :
( ~ mem(X0,sF16)
| sF4 = X0 ),
inference(superposition,[],[f46,f93]) ).
fof(f144,plain,
! [X0] :
( ~ mem(X0,sF11)
| sF5 = X0 ),
inference(superposition,[],[f46,f83]) ).
fof(f145,plain,
! [X0] :
( ~ mem(X0,sF18)
| sF6 = X0 ),
inference(superposition,[],[f46,f97]) ).
fof(f146,plain,
! [X0] :
( ~ mem(X0,sF9)
| sF8 = X0 ),
inference(superposition,[],[f46,f79]) ).
fof(f147,plain,
! [X0] :
( ~ mem(X0,sF15)
| sF14 = X0 ),
inference(superposition,[],[f46,f91]) ).
fof(f149,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF6) ),
inference(superposition,[],[f50,f73]) ).
fof(f150,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f49,f73]) ).
fof(f164,plain,
mem(sF3,sF5),
inference(resolution,[],[f103,f113]) ).
fof(f168,plain,
mem(sF2,sF14),
inference(resolution,[],[f136,f102]) ).
fof(f172,plain,
mem(e,sF6),
inference(resolution,[],[f149,f133]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( ~ subq(m(X2,X3),X1)
| mem(X0,X1)
| ~ mem(X0,X2)
| mem(X0,X3) ),
inference(resolution,[],[f41,f53]) ).
fof(f189,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f41,f133]) ).
fof(f201,plain,
mem(sF3,sF6),
inference(resolution,[],[f164,f150]) ).
fof(f231,plain,
! [X0,X1] :
( ~ mem(X1,sF7)
| mem(X1,X0)
| ~ subq(sF13,X0)
| mem(X1,sF12) ),
inference(superposition,[],[f186,f87]) ).
fof(f233,plain,
! [X0] :
( ~ mem(X0,sF8)
| subq(X0,sF3) ),
inference(superposition,[],[f56,f77]) ).
fof(f246,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f42,f131]) ).
fof(f302,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f43,f42]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f43,f49]) ).
fof(f307,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f332,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f304,f42]) ).
fof(f345,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f332]) ).
fof(f471,plain,
subq(sF1,sF2),
inference(superposition,[],[f345,f65]) ).
fof(f491,plain,
( sF1 = sF2
| ~ subq(sF2,sF1) ),
inference(resolution,[],[f471,f44]) ).
fof(f493,definition,
( spl20_5
<=> subq(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f495,plain,
( ~ subq(sF2,sF1)
| spl20_5 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f497,definition,
( spl20_6
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f499,plain,
( sF1 = sF2
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,plain,
( ~ spl20_5
| spl20_6 ),
inference(avatar_split_clause,[],[f491,f497,f493]) ).
fof(f532,plain,
mem(sF3,sF8),
inference(resolution,[],[f307,f101]) ).
fof(f606,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f246,f43]) ).
fof(f609,plain,
! [X0] :
( subq(sF2,X0)
| e = sK0(sF2,X0) ),
inference(resolution,[],[f246,f140]) ).
fof(f614,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f606]) ).
fof(f615,plain,
( $false
| spl20_5 ),
inference(forward_subsumption_resolution,[],[f614,f495]) ).
fof(f616,plain,
spl20_5,
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f620,plain,
( ! [X0] :
( ~ mem(X0,sF2)
| e = X0 )
| ~ spl20_6 ),
inference(superposition,[],[f140,f499]) ).
fof(f634,plain,
( e = sK0(sF2,sF6)
| mem(sF2,sF7) ),
inference(resolution,[],[f609,f109]) ).
fof(f636,definition,
( spl20_18
<=> mem(sF2,sF7) ),
introduced(definition,[new_symbols(definition,[spl20_18])],[avatar_definition]) ).
fof(f637,plain,
( ~ mem(sF2,sF7)
| spl20_18 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f638,plain,
( mem(sF2,sF7)
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f640,definition,
( spl20_19
<=> e = sK0(sF2,sF6) ),
introduced(definition,[new_symbols(definition,[spl20_19])],[avatar_definition]) ).
fof(f642,plain,
( e = sK0(sF2,sF6)
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f643,plain,
( spl20_18
| spl20_19 ),
inference(avatar_split_clause,[],[f634,f640,f636]) ).
fof(f645,definition,
( spl20_20
<=> mem(sF2,sF8) ),
introduced(definition,[new_symbols(definition,[spl20_20])],[avatar_definition]) ).
fof(f646,plain,
( ~ mem(sF2,sF8)
| spl20_20 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f647,plain,
( mem(sF2,sF8)
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f654,definition,
( spl20_22
<=> e = sF2 ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f655,plain,
( e != sF2
| spl20_22 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( e = sF2
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f662,plain,
( ! [X0] : ~ mem(X0,sF2)
| ~ spl20_22 ),
inference(superposition,[],[f45,f656]) ).
fof(f666,plain,
( mem(sF2,sF2)
| ~ spl20_22 ),
inference(superposition,[],[f133,f656]) ).
fof(f682,plain,
( ! [X0] :
( mem(sF2,X0)
| ~ subq(sF13,X0)
| mem(sF2,sF12) )
| ~ spl20_18 ),
inference(resolution,[],[f638,f231]) ).
fof(f686,plain,
( subq(sF2,sF3)
| ~ spl20_20 ),
inference(resolution,[],[f647,f233]) ).
fof(f939,definition,
( spl20_41
<=> mem(sF2,sF12) ),
introduced(definition,[new_symbols(definition,[spl20_41])],[avatar_definition]) ).
fof(f941,plain,
( mem(sF2,sF12)
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f948,definition,
( spl20_43
<=> ! [X0] :
( mem(sF2,X0)
| ~ subq(sF13,X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_43])],[avatar_definition]) ).
fof(f949,plain,
( ! [X0] :
( ~ subq(sF13,X0)
| mem(sF2,X0) )
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f950,plain,
( spl20_41
| spl20_43
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f682,f636,f948,f939]) ).
fof(f1036,definition,
( spl20_62
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl20_62])],[avatar_definition]) ).
fof(f1038,plain,
( mem(e,sF3)
| ~ spl20_62 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1040,definition,
( spl20_63
<=> mem(e,sF4) ),
introduced(definition,[new_symbols(definition,[spl20_63])],[avatar_definition]) ).
fof(f1041,plain,
( ~ mem(e,sF4)
| spl20_63 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1042,plain,
( mem(e,sF4)
| ~ spl20_63 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1058,definition,
( spl20_67
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl20_67])],[avatar_definition]) ).
fof(f1059,plain,
( e != sF3
| spl20_67 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1060,plain,
( e = sF3
| ~ spl20_67 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1264,plain,
( e = sF2
| ~ spl20_62 ),
inference(resolution,[],[f1038,f141]) ).
fof(f1269,plain,
( $false
| spl20_22
| ~ spl20_62 ),
inference(forward_subsumption_resolution,[],[f1264,f655]) ).
fof(f1270,plain,
( spl20_22
| ~ spl20_62 ),
inference(avatar_contradiction_clause,[],[f1269]) ).
fof(f1271,plain,
( e = sF3
| ~ spl20_63 ),
inference(resolution,[],[f1042,f142]) ).
fof(f1275,plain,
( spl20_67
| ~ spl20_63 ),
inference(avatar_split_clause,[],[f1271,f1040,f1058]) ).
fof(f1380,plain,
( ~ mem(e,sF6)
| subq(sF2,sF6)
| ~ spl20_19 ),
inference(superposition,[],[f43,f642]) ).
fof(f1382,plain,
( subq(sF2,sF6)
| ~ spl20_19 ),
inference(forward_subsumption_resolution,[],[f1380,f172]) ).
fof(f1384,plain,
( mem(sF2,sF7)
| ~ spl20_19 ),
inference(resolution,[],[f1382,f109]) ).
fof(f1391,definition,
( spl20_75
<=> sF2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl20_75])],[avatar_definition]) ).
fof(f1393,plain,
( sF2 = sF6
| ~ spl20_75 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1395,plain,
( $false
| spl20_18
| ~ spl20_19 ),
inference(forward_subsumption_resolution,[],[f1384,f637]) ).
fof(f1396,plain,
( spl20_18
| ~ spl20_19 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1397,plain,
( mem(sF2,sF11)
| mem(sF2,sF10)
| ~ spl20_41 ),
inference(resolution,[],[f941,f128]) ).
fof(f1400,definition,
( spl20_76
<=> mem(sF2,sF10) ),
introduced(definition,[new_symbols(definition,[spl20_76])],[avatar_definition]) ).
fof(f1402,plain,
( mem(sF2,sF10)
| ~ spl20_76 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1404,definition,
( spl20_77
<=> mem(sF2,sF11) ),
introduced(definition,[new_symbols(definition,[spl20_77])],[avatar_definition]) ).
fof(f1406,plain,
( mem(sF2,sF11)
| ~ spl20_77 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1407,plain,
( spl20_76
| spl20_77
| ~ spl20_41 ),
inference(avatar_split_clause,[],[f1397,f939,f1404,f1400]) ).
fof(f1408,plain,
( mem(sF2,sF9)
| mem(sF2,sF8)
| ~ spl20_76 ),
inference(resolution,[],[f1402,f127]) ).
fof(f1411,plain,
( mem(sF2,sF9)
| spl20_20
| ~ spl20_76 ),
inference(forward_subsumption_resolution,[],[f1408,f646]) ).
fof(f1412,plain,
( sF2 = sF8
| spl20_20
| ~ spl20_76 ),
inference(resolution,[],[f1411,f146]) ).
fof(f1423,plain,
( mem(sF3,sF2)
| spl20_20
| ~ spl20_76 ),
inference(superposition,[],[f532,f1412]) ).
fof(f1466,plain,
( e = sF3
| ~ spl20_6
| spl20_20
| ~ spl20_76 ),
inference(resolution,[],[f1423,f620]) ).
fof(f1473,plain,
( spl20_67
| ~ spl20_6
| spl20_20
| ~ spl20_76 ),
inference(avatar_split_clause,[],[f1466,f1400,f645,f497,f1058]) ).
fof(f1477,plain,
( mem(e,sF3)
| ~ spl20_20 ),
inference(resolution,[],[f686,f189]) ).
fof(f1491,plain,
( sF2 = sF5
| ~ spl20_77 ),
inference(resolution,[],[f1406,f144]) ).
fof(f1500,plain,
( mem(sF3,sF2)
| ~ spl20_77 ),
inference(superposition,[],[f164,f1491]) ).
fof(f1517,plain,
( e = sF3
| ~ spl20_6
| ~ spl20_77 ),
inference(resolution,[],[f1500,f620]) ).
fof(f1523,plain,
( spl20_67
| ~ spl20_6
| ~ spl20_77 ),
inference(avatar_split_clause,[],[f1517,f1404,f497,f1058]) ).
fof(f1525,plain,
( spl20_62
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1477,f645,f1036]) ).
fof(f1528,plain,
( $false
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f666,f662]) ).
fof(f1529,plain,
~ spl20_22,
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1590,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl20_67 ),
inference(superposition,[],[f45,f1060]) ).
fof(f1672,plain,
( $false
| ~ spl20_67 ),
inference(resolution,[],[f1590,f102]) ).
fof(f1673,plain,
~ spl20_67,
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1741,plain,
( mem(sF2,sF19)
| ~ spl20_43 ),
inference(resolution,[],[f949,f100]) ).
fof(f1744,plain,
( mem(sF2,sF18)
| mem(sF2,sF17)
| ~ spl20_43 ),
inference(resolution,[],[f1741,f130]) ).
fof(f1747,definition,
( spl20_80
<=> mem(sF2,sF17) ),
introduced(definition,[new_symbols(definition,[spl20_80])],[avatar_definition]) ).
fof(f1749,plain,
( mem(sF2,sF17)
| ~ spl20_80 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1751,definition,
( spl20_81
<=> mem(sF2,sF18) ),
introduced(definition,[new_symbols(definition,[spl20_81])],[avatar_definition]) ).
fof(f1753,plain,
( mem(sF2,sF18)
| ~ spl20_81 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1754,plain,
( spl20_80
| spl20_81
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1744,f948,f1751,f1747]) ).
fof(f1757,plain,
( mem(sF2,sF16)
| mem(sF2,sF15)
| ~ spl20_80 ),
inference(resolution,[],[f1749,f129]) ).
fof(f1760,definition,
( spl20_82
<=> mem(sF2,sF15) ),
introduced(definition,[new_symbols(definition,[spl20_82])],[avatar_definition]) ).
fof(f1762,plain,
( mem(sF2,sF15)
| ~ spl20_82 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f1764,definition,
( spl20_83
<=> mem(sF2,sF16) ),
introduced(definition,[new_symbols(definition,[spl20_83])],[avatar_definition]) ).
fof(f1766,plain,
( mem(sF2,sF16)
| ~ spl20_83 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1767,plain,
( spl20_82
| spl20_83
| ~ spl20_80 ),
inference(avatar_split_clause,[],[f1757,f1747,f1764,f1760]) ).
fof(f1768,plain,
( sF2 = sF4
| ~ spl20_83 ),
inference(resolution,[],[f1766,f143]) ).
fof(f1781,plain,
( ~ mem(e,sF2)
| spl20_63
| ~ spl20_83 ),
inference(superposition,[],[f1041,f1768]) ).
fof(f1782,plain,
( $false
| spl20_63
| ~ spl20_83 ),
inference(forward_subsumption_resolution,[],[f1781,f133]) ).
fof(f1783,plain,
( spl20_63
| ~ spl20_83 ),
inference(avatar_contradiction_clause,[],[f1782]) ).
fof(f1787,plain,
( sF2 = sF6
| ~ spl20_81 ),
inference(resolution,[],[f1753,f145]) ).
fof(f1789,plain,
( spl20_75
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f1787,f1751,f1391]) ).
fof(f1790,plain,
( sF2 = sF14
| ~ spl20_82 ),
inference(resolution,[],[f1762,f147]) ).
fof(f1796,plain,
( mem(sF2,sF2)
| ~ spl20_82 ),
inference(superposition,[],[f168,f1790]) ).
fof(f1811,plain,
( mem(sF3,sF2)
| ~ spl20_75 ),
inference(superposition,[],[f201,f1393]) ).
fof(f1853,plain,
( e = sF2
| ~ spl20_6
| ~ spl20_82 ),
inference(resolution,[],[f1796,f620]) ).
fof(f1859,plain,
( $false
| ~ spl20_6
| spl20_22
| ~ spl20_82 ),
inference(forward_subsumption_resolution,[],[f1853,f655]) ).
fof(f1860,plain,
( ~ spl20_6
| spl20_22
| ~ spl20_82 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1909,plain,
( e = sF3
| ~ spl20_6
| ~ spl20_75 ),
inference(resolution,[],[f1811,f620]) ).
fof(f1915,plain,
( $false
| ~ spl20_6
| spl20_67
| ~ spl20_75 ),
inference(forward_subsumption_resolution,[],[f1909,f1059]) ).
fof(f1916,plain,
( ~ spl20_6
| spl20_67
| ~ spl20_75 ),
inference(avatar_contradiction_clause,[],[f1915]) ).
cnf(s3,plain,
( ~ spl20_5
| spl20_6 ),
inference(sat_conversion,[],[f500]) ).
cnf(s10,plain,
spl20_5,
inference(sat_conversion,[],[f616]) ).
cnf(s11,plain,
( spl20_18
| spl20_19 ),
inference(sat_conversion,[],[f643]) ).
cnf(s28,plain,
( ~ spl20_18
| spl20_41
| spl20_43 ),
inference(sat_conversion,[],[f950]) ).
cnf(s63,plain,
( spl20_22
| ~ spl20_62 ),
inference(sat_conversion,[],[f1270]) ).
cnf(s65,plain,
( ~ spl20_63
| spl20_67 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s75,plain,
( spl20_18
| ~ spl20_19 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s76,plain,
( ~ spl20_41
| spl20_76
| spl20_77 ),
inference(sat_conversion,[],[f1407]) ).
cnf(s77,plain,
( ~ spl20_6
| spl20_20
| spl20_67
| ~ spl20_76 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s80,plain,
( ~ spl20_6
| spl20_67
| ~ spl20_77 ),
inference(sat_conversion,[],[f1523]) ).
cnf(s82,plain,
( ~ spl20_20
| spl20_62 ),
inference(sat_conversion,[],[f1525]) ).
cnf(s85,plain,
~ spl20_22,
inference(sat_conversion,[],[f1529]) ).
cnf(s98,plain,
~ spl20_67,
inference(sat_conversion,[],[f1673]) ).
cnf(s105,plain,
( ~ spl20_43
| spl20_80
| spl20_81 ),
inference(sat_conversion,[],[f1754]) ).
cnf(s106,plain,
( ~ spl20_80
| spl20_82
| spl20_83 ),
inference(sat_conversion,[],[f1767]) ).
cnf(s107,plain,
( spl20_63
| ~ spl20_83 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s108,plain,
( spl20_75
| ~ spl20_81 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s113,plain,
( ~ spl20_6
| spl20_22
| ~ spl20_82 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s116,plain,
( ~ spl20_6
| spl20_67
| ~ spl20_75 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s117,plain,
( ~ spl20_6
| ~ spl20_77 ),
inference(rat,[],[s80,s98]) ).
cnf(s118,plain,
( ~ spl20_6
| spl20_20
| ~ spl20_76 ),
inference(rat,[],[s77,s98]) ).
cnf(s121,plain,
~ spl20_63,
inference(rat,[],[s65,s98]) ).
cnf(s122,plain,
~ spl20_83,
inference(rat,[],[s107,s121]) ).
cnf(s123,plain,
~ spl20_62,
inference(rat,[],[s63,s85]) ).
cnf(s126,plain,
~ spl20_20,
inference(rat,[],[s82,s123]) ).
cnf(s135,plain,
spl20_6,
inference(rat,[],[s3,s10]) ).
cnf(s136,plain,
~ spl20_75,
inference(rat,[],[s116,s98,s135]) ).
cnf(s137,plain,
~ spl20_82,
inference(rat,[],[s113,s85,s135]) ).
cnf(s138,plain,
~ spl20_77,
inference(rat,[],[s117,s135]) ).
cnf(s139,plain,
~ spl20_76,
inference(rat,[],[s118,s126,s135]) ).
cnf(s140,plain,
~ spl20_81,
inference(rat,[],[s108,s136]) ).
cnf(s141,plain,
~ spl20_80,
inference(rat,[],[s106,s122,s137]) ).
cnf(s143,plain,
~ spl20_41,
inference(rat,[],[s76,s138,s139]) ).
cnf(s144,plain,
~ spl20_43,
inference(rat,[],[s105,s140,s141]) ).
cnf(s145,plain,
~ spl20_18,
inference(rat,[],[s28,s144,s143]) ).
cnf(s146,plain,
~ spl20_19,
inference(rat,[],[s75,s145]) ).
cnf(s147,plain,
$false,
inference(rat,[],[s11,s146,s145]) ).
fof(f1917,plain,
$false,
inference(avatar_sat_refutation,[],[s147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV563+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 06:37:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.28/2.03 % (1385130)Detected formulas, will run a generic FOF schedule.
% 5.28/2.03 % (1385136)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=3807548564:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.28/2.03 % (1385141)dis-21_1_sil=8000:lcm=predicate:random_seed=1874812121:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.28/2.03 % (1385139)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2684344512:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.28/2.03 % (1385137)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=1497110221:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.28/2.03 % (1385138)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2179419675:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.28/2.03 % (1385135)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=1735071325:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.28/2.03 % (1385138)Refutation not found, incomplete strategy
% 5.28/2.03 % (1385138)------------------------------
% 5.28/2.03 % (1385138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385138)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385138)Termination reason: Refutation not found, incomplete strategy
% 5.28/2.03 % (1385138)Time elapsed: 0.001 s
% 5.28/2.03 % (1385138)Peak memory usage: 88 MB
% 5.28/2.03 % (1385138)Instructions burned: 1 (million)
% 5.28/2.03 % (1385140)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3394152457:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.28/2.03 % (1385139)Instruction limit reached!
% 5.28/2.03 % (1385139)------------------------------
% 5.28/2.03 % (1385139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385139)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385139)Termination reason: Instruction limit
% 5.28/2.03 % (1385139)Termination phase: Saturation
% 5.28/2.03 % (1385139)Time elapsed: 0.072 s
% 5.28/2.03 % (1385139)Peak memory usage: 89 MB
% 5.28/2.03 % (1385139)Instructions burned: 120 (million)
% 5.28/2.03 % (1385141)Instruction limit reached!
% 5.28/2.03 % (1385141)------------------------------
% 5.28/2.03 % (1385141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385141)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385141)Termination reason: Instruction limit
% 5.28/2.03 % (1385141)Termination phase: Saturation
% 5.28/2.03 % (1385141)Time elapsed: 0.074 s
% 5.28/2.03 % (1385141)Peak memory usage: 89 MB
% 5.28/2.03 % (1385141)Instructions burned: 130 (million)
% 5.28/2.03 % (1385140)Instruction limit reached!
% 5.28/2.03 % (1385140)------------------------------
% 5.28/2.03 % (1385140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385140)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385140)Termination reason: Instruction limit
% 5.28/2.03 % (1385140)Termination phase: Saturation
% 5.28/2.03 % (1385140)Time elapsed: 0.088 s
% 5.28/2.03 % (1385140)Peak memory usage: 89 MB
% 5.28/2.03 % (1385140)Instructions burned: 140 (million)
% 5.28/2.03 % (1385149)lrs+10_1_sil=8000:sp=occurrence:random_seed=4055078118:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.28/2.03 % (1385150)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1096048667:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.28/2.03 % (1385151)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2166317411:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.28/2.03 % (1385138)------------------------------
% 5.28/2.03 % (1385138)------------------------------
% 5.28/2.03 % (1385150)Instruction limit reached!
% 5.28/2.03 % (1385150)------------------------------
% 5.28/2.03 % (1385150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385150)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385150)Termination reason: Instruction limit
% 5.28/2.03 % (1385150)Termination phase: Saturation
% 5.28/2.03 % (1385150)Time elapsed: 0.080 s
% 5.28/2.03 % (1385150)Peak memory usage: 90 MB
% 5.28/2.03 % (1385150)Instructions burned: 157 (million)
% 5.28/2.03 % (1385149)Instruction limit reached!
% 5.28/2.03 % (1385149)------------------------------
% 5.28/2.03 % (1385149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385149)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385149)Termination reason: Instruction limit
% 5.28/2.03 % (1385149)Termination phase: Saturation
% 5.28/2.03 % (1385149)Time elapsed: 0.162 s
% 5.28/2.03 % (1385149)Peak memory usage: 91 MB
% 5.28/2.03 % (1385149)Instructions burned: 286 (million)
% 5.28/2.03 % (1385155)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=1092214063:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.28/2.03 % (1385151)Instruction limit reached!
% 5.28/2.03 % (1385151)------------------------------
% 5.28/2.03 % (1385151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385151)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385151)Termination reason: Instruction limit
% 5.28/2.03 % (1385151)Termination phase: Saturation
% 5.28/2.03 % (1385151)Time elapsed: 0.189 s
% 5.28/2.03 % (1385151)Peak memory usage: 91 MB
% 5.28/2.03 % (1385151)Instructions burned: 326 (million)
% 5.28/2.03 % (1385156)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2351803487:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.28/2.03 % (1385156)Refutation not found, incomplete strategy
% 5.28/2.03 % (1385156)------------------------------
% 5.28/2.03 % (1385156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385156)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385156)Termination reason: Refutation not found, incomplete strategy
% 5.28/2.03 % (1385156)Time elapsed: 0.002 s
% 5.28/2.03 % (1385156)Peak memory usage: 89 MB
% 5.28/2.03 % (1385156)Instructions burned: 1 (million)
% 5.28/2.03 % (1385157)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2613759807:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.28/2.03 % (1385155)Instruction limit reached!
% 5.28/2.03 % (1385155)------------------------------
% 5.28/2.03 % (1385155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385155)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385155)Termination reason: Instruction limit
% 5.28/2.03 % (1385155)Termination phase: Saturation
% 5.28/2.03 % (1385155)Time elapsed: 0.139 s
% 5.28/2.03 % (1385155)Peak memory usage: 91 MB
% 5.28/2.03 % (1385155)Instructions burned: 249 (million)
% 5.28/2.03 % (1385159)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=492997017:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.28/2.03 % (1385159)Instruction limit reached!
% 5.28/2.03 % (1385159)------------------------------
% 5.28/2.03 % (1385159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385159)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385159)Termination reason: Instruction limit
% 5.28/2.03 % (1385159)Termination phase: Saturation
% 5.28/2.03 % (1385159)Time elapsed: 0.066 s
% 5.28/2.03 % (1385159)Peak memory usage: 89 MB
% 5.28/2.03 % (1385159)Instructions burned: 113 (million)
% 5.28/2.03 % (1385162)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=965178873:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.28/2.03 % (1385156)------------------------------
% 5.28/2.03 % (1385156)------------------------------
% 5.28/2.03 % (1385162)Instruction limit reached!
% 5.28/2.03 % (1385162)------------------------------
% 5.28/2.03 % (1385162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385162)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385162)Termination reason: Instruction limit
% 5.28/2.03 % (1385162)Termination phase: Saturation
% 5.28/2.03 % (1385162)Time elapsed: 0.058 s
% 5.28/2.03 % (1385162)Peak memory usage: 88 MB
% 5.28/2.03 % (1385162)Instructions burned: 129 (million)
% 5.28/2.03 % (1385164)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1006443148:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.28/2.03 % (1385135)First to succeed.
% 5.28/2.03 % (1385135)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1385130"
% 5.28/2.03 % (1385164)Instruction limit reached!
% 5.28/2.03 % (1385164)------------------------------
% 5.28/2.03 % (1385164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385164)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385164)Termination reason: Instruction limit
% 5.28/2.03 % (1385164)Termination phase: Saturation
% 5.28/2.03 % (1385164)Time elapsed: 0.054 s
% 5.28/2.03 % (1385164)Peak memory usage: 88 MB
% 5.28/2.03 % (1385164)Instructions burned: 115 (million)
% 5.28/2.03 % (1385166)lrs+10_1_sil=8000:sp=occurrence:random_seed=989122806:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.28/2.03 % (1385167)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=739490626:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.28/2.03 % (1385167)Refutation not found, incomplete strategy
% 5.28/2.03 % (1385167)------------------------------
% 5.28/2.03 % (1385167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.03 % (1385167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.03 % (1385167)CaDiCaL version: 2.1.3
% 5.28/2.03 % (1385167)Termination reason: Refutation not found, incomplete strategy
% 5.28/2.03 % (1385167)Time elapsed: 0.001 s
% 5.28/2.03 % (1385167)Peak memory usage: 88 MB
% 5.28/2.03 % (1385167)Instructions burned: 1 (million)
% 5.28/2.03 % (1385169)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2226914149:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 5.28/2.03 % (1385135)Refutation found. Thanks to Tanya!
% 5.28/2.03 % SZS status Theorem for theBenchmark
% 5.28/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 9.06/2.22 % (1385135)------------------------------
% 9.06/2.22 % (1385135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.06/2.22 % (1385135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.06/2.22 % (1385135)CaDiCaL version: 2.1.3
% 9.06/2.22 % (1385135)Termination reason: Refutation
% 9.06/2.22 % (1385135)Time elapsed: 0.787 s
% 9.06/2.22 % (1385135)Peak memory usage: 131 MB
% 9.06/2.22 % (1385135)Instructions burned: 1156 (million)
% 9.06/2.22 % (1385135)------------------------------
% 9.06/2.22 % (1385135)------------------------------
% 9.06/2.22 % (1385130)Success in time 1.199 s
% 9.06/2.22 % Vampire exiting
%------------------------------------------------------------------------------