%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV554+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 : n007.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 12:58:19 PM UTC 2026
% Result : Theorem 8.53s 2.11s
% Output : Refutation 9.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 40
% Syntax : Number of formulae : 243 ( 81 unt; 30 def)
% Number of atoms : 469 ( 87 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 399 ( 173 ~; 185 |; 21 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 20 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 123 !; 5 ?)
% 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(f3,axiom,
! [X0,X1] :
( disj(X0,X1)
<=> ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_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(f7,axiom,
! [X0,X1,X2] :
( mem(X0,m(X1,X2))
<=> ( mem(X0,X1)
& ~ mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f26,conjecture,
disj(m(m(p(n(n(n(e)))),s(n(n(n(e))))),u(s(n(e)),p(s(n(n(e)))))),a(s(u(n(e),n(s(n(e))))),a(s(s(n(e))),n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_1548_4224) ).
fof(f27,negated_conjecture,
~ disj(m(m(p(n(n(n(e)))),s(n(n(n(e))))),u(s(n(e)),p(s(n(n(e)))))),a(s(u(n(e),n(s(n(e))))),a(s(s(n(e))),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ disj(m(m(p(n(n(n(e)))),s(n(n(n(e))))),u(s(n(e)),p(s(n(n(e)))))),a(s(u(n(e),n(s(n(e))))),a(s(s(n(e))),n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) )
=> disj(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f30,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( disj(X0,X1)
| ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,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))],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( disj(X0,X1)
| ( mem(sK1(X0,X1),X0)
& mem(sK1(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f33]) ).
fof(f38,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,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(f42,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,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f44,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f45,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f48,plain,
! [X0,X1] :
( mem(sK1(X0,X1),X1)
| disj(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X0,X1] :
( mem(sK1(X0,X1),X0)
| disj(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f54,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| mem(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f62,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
~ disj(m(m(p(n(n(n(e)))),s(n(n(n(e))))),u(s(n(e)),p(s(n(n(e)))))),a(s(u(n(e),n(s(n(e))))),a(s(s(n(e))),n(n(e))))),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f60,f59]) ).
fof(f65,plain,
~ disj(m(m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(e,s(e))),p(s(u(u(e,s(e)),s(u(e,s(e)))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(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,[],[f63,f64,f64,f64,f64,f64,f64,f64,f64,f64,f59,f64,f64,f64,f59,f64,f64,f64]) ).
fof(f66,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f52]) ).
fof(f67,definition,
sF2 = s(e),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f68,plain,
s(e) = sF2,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF3 = u(e,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f70,plain,
u(e,sF2) = sF3,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f72,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF5 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f74,plain,
u(sF3,sF4) = sF5,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF6 = s(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f76,plain,
s(sF5) = sF6,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF7 = u(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f78,plain,
u(sF5,sF6) = sF7,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF8 = p(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f80,plain,
p(sF7) = sF8,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF9 = s(sF7),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f82,plain,
s(sF7) = sF9,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF10 = m(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f84,plain,
m(sF8,sF9) = sF10,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF11 = p(sF6),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f86,plain,
p(sF6) = sF11,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF12 = u(sF4,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f88,plain,
u(sF4,sF11) = sF12,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF13 = m(sF10,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f90,plain,
m(sF10,sF12) = sF13,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF14 = s(sF4),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f92,plain,
s(sF4) = sF14,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF15 = u(sF4,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f94,plain,
u(sF4,sF14) = sF15,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF16 = u(sF3,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f96,plain,
u(sF3,sF15) = sF16,
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
sF17 = s(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f98,plain,
s(sF16) = sF17,
inference(reorient_equations,[],[f97]) ).
fof(f99,definition,
sF18 = u(sF14,sF6),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f100,plain,
u(sF14,sF6) = sF18,
inference(reorient_equations,[],[f99]) ).
fof(f101,definition,
sF19 = s(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f102,plain,
s(sF18) = sF19,
inference(reorient_equations,[],[f101]) ).
fof(f103,definition,
sF20 = u(sF17,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f104,plain,
u(sF17,sF19) = sF20,
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
~ disj(sF13,sF20),
inference(definition_folding,[],[f65,f104,f102,f100,f76,f74,f72,f70,f68,f70,f68,f92,f72,f70,f68,f98,f96,f94,f92,f72,f70,f68,f72,f70,f68,f70,f68,f90,f88,f86,f76,f74,f72,f70,f68,f70,f68,f72,f70,f68,f84,f82,f78,f76,f74,f72,f70,f68,f70,f68,f74,f72,f70,f68,f70,f68,f80,f78,f76,f74,f72,f70,f68,f70,f68,f74,f72,f70,f68,f70,f68]) ).
fof(f106,plain,
mem(e,sF2),
inference(superposition,[],[f66,f68]) ).
fof(f107,plain,
mem(sF3,sF4),
inference(superposition,[],[f66,f72]) ).
fof(f108,plain,
mem(sF4,sF14),
inference(superposition,[],[f66,f92]) ).
fof(f109,plain,
mem(sF5,sF6),
inference(superposition,[],[f66,f76]) ).
fof(f110,plain,
mem(sF7,sF9),
inference(superposition,[],[f66,f82]) ).
fof(f113,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF3) ),
inference(superposition,[],[f54,f70]) ).
fof(f116,plain,
! [X0] :
( ~ mem(X0,sF14)
| mem(X0,sF15) ),
inference(superposition,[],[f54,f94]) ).
fof(f121,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF5) ),
inference(superposition,[],[f55,f74]) ).
fof(f123,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF15) ),
inference(superposition,[],[f55,f94]) ).
fof(f129,plain,
! [X0] :
( ~ mem(X0,sF11)
| subq(X0,sF6) ),
inference(superposition,[],[f61,f86]) ).
fof(f130,plain,
! [X0] :
( ~ mem(X0,sF8)
| subq(X0,sF7) ),
inference(superposition,[],[f61,f80]) ).
fof(f132,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF7) ),
inference(superposition,[],[f54,f78]) ).
fof(f133,plain,
! [X0] :
( ~ mem(X0,sF14)
| mem(X0,sF18) ),
inference(superposition,[],[f55,f100]) ).
fof(f146,plain,
! [X0] :
( ~ mem(X0,sF2)
| e = X0 ),
inference(superposition,[],[f51,f68]) ).
fof(f147,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f51,f72]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF14)
| sF4 = X0 ),
inference(superposition,[],[f51,f92]) ).
fof(f149,plain,
! [X0] :
( ~ mem(X0,sF6)
| sF5 = X0 ),
inference(superposition,[],[f51,f76]) ).
fof(f150,plain,
! [X0] :
( ~ mem(X0,sF9)
| sF7 = X0 ),
inference(superposition,[],[f51,f82]) ).
fof(f151,plain,
! [X0] :
( ~ mem(X0,sF17)
| sF16 = X0 ),
inference(superposition,[],[f51,f98]) ).
fof(f152,plain,
! [X0] :
( ~ mem(X0,sF19)
| sF18 = X0 ),
inference(superposition,[],[f51,f102]) ).
fof(f157,plain,
mem(sF4,sF15),
inference(resolution,[],[f116,f108]) ).
fof(f160,plain,
! [X0] :
( ~ mem(X0,sF13)
| mem(X0,sF10) ),
inference(superposition,[],[f57,f90]) ).
fof(f161,plain,
! [X0] :
( ~ mem(X0,sF10)
| mem(X0,sF8) ),
inference(superposition,[],[f57,f84]) ).
fof(f168,plain,
! [X0] :
( mem(sK1(sF13,X0),sF10)
| disj(sF13,X0) ),
inference(resolution,[],[f160,f49]) ).
fof(f169,plain,
mem(e,sF3),
inference(resolution,[],[f113,f106]) ).
fof(f182,plain,
mem(sF3,sF15),
inference(resolution,[],[f123,f107]) ).
fof(f185,plain,
mem(sF5,sF7),
inference(resolution,[],[f109,f132]) ).
fof(f192,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2)
| mem(X0,e) ),
inference(superposition,[],[f53,f70]) ).
fof(f193,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF4)
| mem(X0,sF3) ),
inference(superposition,[],[f53,f74]) ).
fof(f196,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF6)
| mem(X0,sF5) ),
inference(superposition,[],[f53,f78]) ).
fof(f198,plain,
! [X0] :
( ~ mem(X0,sF20)
| mem(X0,sF19)
| mem(X0,sF17) ),
inference(superposition,[],[f53,f104]) ).
fof(f199,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f192,f50]) ).
fof(f202,plain,
! [X0] :
( ~ mem(X0,sF15)
| mem(X0,sF16) ),
inference(superposition,[],[f54,f96]) ).
fof(f209,plain,
! [X0] :
( ~ subq(X0,sF6)
| mem(X0,sF11) ),
inference(superposition,[],[f62,f86]) ).
fof(f211,plain,
mem(e,sF5),
inference(resolution,[],[f121,f169]) ).
fof(f217,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f45,f50]) ).
fof(f248,plain,
! [X0] :
( mem(sK1(X0,sF20),sF19)
| mem(sK1(X0,sF20),sF17)
| disj(X0,sF20) ),
inference(resolution,[],[f198,f48]) ).
fof(f295,plain,
mem(sF4,sF18),
inference(resolution,[],[f133,f108]) ).
fof(f310,plain,
mem(sF4,sF16),
inference(resolution,[],[f202,f157]) ).
fof(f349,plain,
! [X0] :
( ~ subq(sF3,X0)
| mem(e,X0) ),
inference(resolution,[],[f44,f169]) ).
fof(f366,plain,
! [X0] :
( ~ subq(sF16,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f44,f310]) ).
fof(f367,plain,
! [X0] :
( ~ subq(sF18,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f44,f295]) ).
fof(f386,plain,
mem(e,sF11),
inference(resolution,[],[f209,f217]) ).
fof(f403,plain,
! [X0] :
( mem(sK1(X0,sF20),sF17)
| disj(X0,sF20)
| sF18 = sK1(X0,sF20) ),
inference(resolution,[],[f248,f152]) ).
fof(f407,plain,
! [X0] :
( disj(X0,sF20)
| sF18 = sK1(X0,sF20)
| sF16 = sK1(X0,sF20) ),
inference(resolution,[],[f403,f151]) ).
fof(f410,plain,
( sF18 = sK1(sF13,sF20)
| sF16 = sK1(sF13,sF20) ),
inference(resolution,[],[f407,f105]) ).
fof(f412,definition,
( spl21_1
<=> sF16 = sK1(sF13,sF20) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f414,plain,
( sF16 = sK1(sF13,sF20)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl21_2
<=> sF18 = sK1(sF13,sF20) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f418,plain,
( sF18 = sK1(sF13,sF20)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f410,f416,f412]) ).
fof(f422,plain,
( mem(sF18,sF13)
| disj(sF13,sF20)
| ~ spl21_2 ),
inference(superposition,[],[f49,f418]) ).
fof(f424,plain,
( mem(sF18,sF13)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f422,f105]) ).
fof(f426,plain,
( mem(sF18,sF10)
| ~ spl21_2 ),
inference(resolution,[],[f424,f160]) ).
fof(f429,plain,
( mem(sF18,sF8)
| ~ spl21_2 ),
inference(resolution,[],[f426,f161]) ).
fof(f433,plain,
( subq(sF18,sF7)
| ~ spl21_2 ),
inference(resolution,[],[f429,f130]) ).
fof(f449,plain,
! [X0] :
( mem(sK1(sF13,X0),sF8)
| disj(sF13,X0) ),
inference(resolution,[],[f168,f161]) ).
fof(f647,definition,
( spl21_24
<=> mem(sF3,sF11) ),
introduced(definition,[new_symbols(definition,[spl21_24])],[avatar_definition]) ).
fof(f648,plain,
( ~ mem(sF3,sF11)
| spl21_24 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( mem(sF3,sF11)
| ~ spl21_24 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f659,definition,
( spl21_26
<=> mem(sF3,sF9) ),
introduced(definition,[new_symbols(definition,[spl21_26])],[avatar_definition]) ).
fof(f661,plain,
( mem(sF3,sF9)
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f667,plain,
( subq(sF3,sF6)
| ~ spl21_24 ),
inference(resolution,[],[f649,f129]) ).
fof(f681,plain,
( mem(e,sF6)
| ~ spl21_24 ),
inference(resolution,[],[f667,f349]) ).
fof(f693,plain,
( e = sF5
| ~ spl21_24 ),
inference(resolution,[],[f681,f149]) ).
fof(f698,plain,
( sF2 = s(sF5)
| ~ spl21_24 ),
inference(superposition,[],[f68,f693]) ).
fof(f714,plain,
( sF2 = sF6
| ~ spl21_24 ),
inference(forward_demodulation,[],[f698,f76]) ).
fof(f715,plain,
( sF3 = u(e,sF6)
| ~ spl21_24 ),
inference(superposition,[],[f70,f714]) ).
fof(f722,plain,
( sF3 = u(sF5,sF6)
| ~ spl21_24 ),
inference(forward_demodulation,[],[f715,f693]) ).
fof(f723,plain,
( sF3 = sF7
| ~ spl21_24 ),
inference(forward_demodulation,[],[f722,f78]) ).
fof(f726,plain,
( mem(sF3,sF9)
| ~ spl21_24 ),
inference(superposition,[],[f110,f723]) ).
fof(f737,plain,
( spl21_26
| ~ spl21_24 ),
inference(avatar_split_clause,[],[f726,f647,f659]) ).
fof(f862,plain,
( mem(sF4,sF7)
| ~ spl21_2 ),
inference(resolution,[],[f367,f433]) ).
fof(f863,plain,
( mem(sF4,sF6)
| mem(sF4,sF5)
| ~ spl21_2 ),
inference(resolution,[],[f862,f196]) ).
fof(f866,definition,
( spl21_35
<=> mem(sF4,sF5) ),
introduced(definition,[new_symbols(definition,[spl21_35])],[avatar_definition]) ).
fof(f868,plain,
( mem(sF4,sF5)
| ~ spl21_35 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f870,definition,
( spl21_36
<=> mem(sF4,sF6) ),
introduced(definition,[new_symbols(definition,[spl21_36])],[avatar_definition]) ).
fof(f872,plain,
( mem(sF4,sF6)
| ~ spl21_36 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f873,plain,
( spl21_35
| spl21_36
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f863,f416,f870,f866]) ).
fof(f875,plain,
( mem(sF16,sF8)
| disj(sF13,sF20)
| ~ spl21_1 ),
inference(superposition,[],[f449,f414]) ).
fof(f890,plain,
( mem(sF16,sF8)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f875,f105]) ).
fof(f898,plain,
( subq(sF16,sF7)
| ~ spl21_1 ),
inference(resolution,[],[f890,f130]) ).
fof(f1010,definition,
( spl21_50
<=> mem(e,sF4) ),
introduced(definition,[new_symbols(definition,[spl21_50])],[avatar_definition]) ).
fof(f1011,plain,
( ~ mem(e,sF4)
| spl21_50 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1012,plain,
( mem(e,sF4)
| ~ spl21_50 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1028,definition,
( spl21_54
<=> e = sF4 ),
introduced(definition,[new_symbols(definition,[spl21_54])],[avatar_definition]) ).
fof(f1029,plain,
( e != sF4
| spl21_54 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1030,plain,
( e = sF4
| ~ spl21_54 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1053,definition,
( spl21_59
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl21_59])],[avatar_definition]) ).
fof(f1055,plain,
( e = sF3
| ~ spl21_59 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1065,plain,
( e = sF3
| ~ spl21_50 ),
inference(resolution,[],[f1012,f147]) ).
fof(f1071,plain,
( spl21_59
| ~ spl21_50 ),
inference(avatar_split_clause,[],[f1065,f1010,f1053]) ).
fof(f1147,plain,
( mem(sF4,sF7)
| ~ spl21_1 ),
inference(resolution,[],[f366,f898]) ).
fof(f1149,plain,
( mem(sF4,sF6)
| mem(sF4,sF5)
| ~ spl21_1 ),
inference(resolution,[],[f1147,f196]) ).
fof(f1151,plain,
( spl21_35
| spl21_36
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f1149,f412,f870,f866]) ).
fof(f1153,plain,
( mem(sF4,sF4)
| mem(sF4,sF3)
| ~ spl21_35 ),
inference(resolution,[],[f868,f193]) ).
fof(f1156,definition,
( spl21_64
<=> mem(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl21_64])],[avatar_definition]) ).
fof(f1158,plain,
( mem(sF4,sF3)
| ~ spl21_64 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1160,definition,
( spl21_65
<=> mem(sF4,sF4) ),
introduced(definition,[new_symbols(definition,[spl21_65])],[avatar_definition]) ).
fof(f1162,plain,
( mem(sF4,sF4)
| ~ spl21_65 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1163,plain,
( spl21_64
| spl21_65
| ~ spl21_35 ),
inference(avatar_split_clause,[],[f1153,f866,f1160,f1156]) ).
fof(f1164,plain,
( sF4 = sF5
| ~ spl21_36 ),
inference(resolution,[],[f872,f149]) ).
fof(f1175,plain,
( mem(e,sF4)
| ~ spl21_36 ),
inference(superposition,[],[f211,f1164]) ).
fof(f1179,plain,
( $false
| ~ spl21_36
| spl21_50 ),
inference(forward_subsumption_resolution,[],[f1175,f1011]) ).
fof(f1180,plain,
( ~ spl21_36
| spl21_50 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1214,plain,
( mem(sF3,sF11)
| ~ spl21_59 ),
inference(superposition,[],[f386,f1055]) ).
fof(f1232,plain,
( $false
| spl21_24
| ~ spl21_59 ),
inference(forward_subsumption_resolution,[],[f1214,f648]) ).
fof(f1233,plain,
( spl21_24
| ~ spl21_59 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1241,plain,
( sF3 = sF7
| ~ spl21_26 ),
inference(resolution,[],[f661,f150]) ).
fof(f1246,plain,
( mem(sF5,sF3)
| ~ spl21_26 ),
inference(superposition,[],[f185,f1241]) ).
fof(f1281,plain,
( mem(sF5,sF2)
| ~ spl21_26 ),
inference(resolution,[],[f1246,f199]) ).
fof(f1287,plain,
( e = sF5
| ~ spl21_26 ),
inference(resolution,[],[f1281,f146]) ).
fof(f1290,plain,
( ! [X0] : ~ mem(X0,sF5)
| ~ spl21_26 ),
inference(superposition,[],[f50,f1287]) ).
fof(f1331,plain,
( $false
| ~ spl21_26 ),
inference(resolution,[],[f1290,f211]) ).
fof(f1342,plain,
~ spl21_26,
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1398,plain,
( mem(sF4,sF2)
| ~ spl21_64 ),
inference(resolution,[],[f1158,f199]) ).
fof(f1415,plain,
( ! [X0] : ~ mem(X0,sF4)
| ~ spl21_54 ),
inference(superposition,[],[f50,f1030]) ).
fof(f1416,plain,
( sF2 = s(sF4)
| ~ spl21_54 ),
inference(superposition,[],[f68,f1030]) ).
fof(f1439,plain,
( sF2 = sF14
| ~ spl21_54 ),
inference(forward_demodulation,[],[f1416,f92]) ).
fof(f1440,plain,
( sF3 = u(e,sF14)
| ~ spl21_54 ),
inference(superposition,[],[f70,f1439]) ).
fof(f1447,plain,
( sF3 = u(sF4,sF14)
| ~ spl21_54 ),
inference(forward_demodulation,[],[f1440,f1030]) ).
fof(f1448,plain,
( sF3 = sF15
| ~ spl21_54 ),
inference(forward_demodulation,[],[f1447,f94]) ).
fof(f1451,plain,
( mem(sF3,sF3)
| ~ spl21_54 ),
inference(superposition,[],[f182,f1448]) ).
fof(f1464,plain,
( mem(sF3,sF2)
| ~ spl21_54 ),
inference(resolution,[],[f1451,f199]) ).
fof(f1467,plain,
( mem(sF3,sF14)
| ~ spl21_54 ),
inference(forward_demodulation,[],[f1464,f1439]) ).
fof(f1469,plain,
( sF3 = sF4
| ~ spl21_54 ),
inference(resolution,[],[f1467,f148]) ).
fof(f1476,plain,
( mem(sF4,sF4)
| ~ spl21_54 ),
inference(superposition,[],[f107,f1469]) ).
fof(f1506,plain,
( $false
| ~ spl21_54 ),
inference(forward_subsumption_resolution,[],[f1476,f1415]) ).
fof(f1507,plain,
~ spl21_54,
inference(avatar_contradiction_clause,[],[f1506]) ).
fof(f1516,plain,
( e = sF4
| ~ spl21_64 ),
inference(resolution,[],[f1398,f146]) ).
fof(f1519,plain,
( $false
| spl21_54
| ~ spl21_64 ),
inference(forward_subsumption_resolution,[],[f1516,f1029]) ).
fof(f1520,plain,
( spl21_54
| ~ spl21_64 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1521,plain,
( sF3 = sF4
| ~ spl21_65 ),
inference(resolution,[],[f1162,f147]) ).
fof(f1532,plain,
( mem(e,sF4)
| ~ spl21_65 ),
inference(superposition,[],[f169,f1521]) ).
fof(f1547,plain,
( $false
| spl21_50
| ~ spl21_65 ),
inference(forward_subsumption_resolution,[],[f1532,f1011]) ).
fof(f1548,plain,
( spl21_50
| ~ spl21_65 ),
inference(avatar_contradiction_clause,[],[f1547]) ).
cnf(s1,plain,
( spl21_1
| spl21_2 ),
inference(sat_conversion,[],[f419]) ).
cnf(s19,plain,
( ~ spl21_24
| spl21_26 ),
inference(sat_conversion,[],[f737]) ).
cnf(s22,plain,
( ~ spl21_2
| spl21_35
| spl21_36 ),
inference(sat_conversion,[],[f873]) ).
cnf(s42,plain,
( ~ spl21_50
| spl21_59 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s50,plain,
( ~ spl21_1
| spl21_35
| spl21_36 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s51,plain,
( ~ spl21_35
| spl21_64
| spl21_65 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s52,plain,
( ~ spl21_36
| spl21_50 ),
inference(sat_conversion,[],[f1180]) ).
cnf(s58,plain,
( spl21_24
| ~ spl21_59 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s64,plain,
~ spl21_26,
inference(sat_conversion,[],[f1342]) ).
cnf(s72,plain,
~ spl21_54,
inference(sat_conversion,[],[f1507]) ).
cnf(s73,plain,
( spl21_54
| ~ spl21_64 ),
inference(sat_conversion,[],[f1520]) ).
cnf(s74,plain,
( spl21_50
| ~ spl21_65 ),
inference(sat_conversion,[],[f1548]) ).
cnf(s75,plain,
~ spl21_64,
inference(rat,[],[s73,s72]) ).
cnf(s77,plain,
( ~ spl21_35
| spl21_65 ),
inference(rat,[],[s51,s75]) ).
cnf(s83,plain,
~ spl21_24,
inference(rat,[],[s19,s64]) ).
cnf(s84,plain,
~ spl21_59,
inference(rat,[],[s58,s83]) ).
cnf(s85,plain,
~ spl21_50,
inference(rat,[],[s42,s84]) ).
cnf(s87,plain,
~ spl21_65,
inference(rat,[],[s74,s85]) ).
cnf(s89,plain,
~ spl21_36,
inference(rat,[],[s52,s85]) ).
cnf(s91,plain,
~ spl21_35,
inference(rat,[],[s77,s87]) ).
cnf(s92,plain,
~ spl21_1,
inference(rat,[],[s50,s89,s91]) ).
cnf(s93,plain,
~ spl21_2,
inference(rat,[],[s22,s89,s91]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s1,s93,s92]) ).
fof(f1550,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV554+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n007.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 06:35:38 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 8.53/2.11 % (2187126)Detected formulas, will run a generic FOF schedule.
% 8.53/2.11 % (2187135)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3431253867:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.53/2.11 % (2187137)dis-21_1_sil=8000:lcm=predicate:random_seed=4002943999: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)
% 8.53/2.11 % (2187132)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=2338075657:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.53/2.11 % (2187131)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=323766280:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.53/2.11 % (2187136)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1138495377:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.53/2.11 % (2187134)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=336721982:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.53/2.11 % (2187133)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=812546024:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.53/2.11 % (2187134)Refutation not found, incomplete strategy
% 8.53/2.11 % (2187134)------------------------------
% 8.53/2.11 % (2187134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187134)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187134)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.11 % (2187134)Time elapsed: 0.001 s
% 8.53/2.11 % (2187134)Peak memory usage: 88 MB
% 8.53/2.11 % (2187134)Instructions burned: 1 (million)
% 8.53/2.11 % (2187135)Instruction limit reached!
% 8.53/2.11 % (2187135)------------------------------
% 8.53/2.11 % (2187135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187135)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187135)Termination reason: Instruction limit
% 8.53/2.11 % (2187135)Termination phase: Saturation
% 8.53/2.11 % (2187135)Time elapsed: 0.042 s
% 8.53/2.11 % (2187135)Peak memory usage: 89 MB
% 8.53/2.11 % (2187135)Instructions burned: 122 (million)
% 8.53/2.11 % (2187137)Instruction limit reached!
% 8.53/2.11 % (2187137)------------------------------
% 8.53/2.11 % (2187137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187137)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187137)Termination reason: Instruction limit
% 8.53/2.11 % (2187137)Termination phase: Saturation
% 8.53/2.11 % (2187137)Time elapsed: 0.065 s
% 8.53/2.11 % (2187137)Peak memory usage: 88 MB
% 8.53/2.11 % (2187137)Instructions burned: 131 (million)
% 8.53/2.11 % (2187136)Instruction limit reached!
% 8.53/2.11 % (2187136)------------------------------
% 8.53/2.11 % (2187136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187136)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187136)Termination reason: Instruction limit
% 8.53/2.11 % (2187136)Termination phase: Saturation
% 8.53/2.11 % (2187136)Time elapsed: 0.085 s
% 8.53/2.11 % (2187136)Peak memory usage: 89 MB
% 8.53/2.11 % (2187136)Instructions burned: 140 (million)
% 8.53/2.11 % (2187145)lrs+10_1_sil=8000:sp=occurrence:random_seed=2674395585:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.53/2.11 % (2187146)lrs+10_1_sil=32000:urr=on:br=off:random_seed=45103101:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.53/2.11 % (2187147)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2238452228:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.53/2.11 % (2187145)Instruction limit reached!
% 8.53/2.11 % (2187145)------------------------------
% 8.53/2.11 % (2187145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187145)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187145)Termination reason: Instruction limit
% 8.53/2.11 % (2187145)Termination phase: Saturation
% 8.53/2.11 % (2187145)Time elapsed: 0.098 s
% 8.53/2.11 % (2187145)Peak memory usage: 92 MB
% 8.53/2.11 % (2187145)Instructions burned: 286 (million)
% 8.53/2.11 % (2187147)Refutation not found, incomplete strategy
% 8.53/2.11 % (2187147)------------------------------
% 8.53/2.11 % (2187147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187147)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187147)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.11 % (2187147)Time elapsed: 0.004 s
% 8.53/2.11 % (2187147)Peak memory usage: 88 MB
% 8.53/2.11 % (2187147)Instructions burned: 5 (million)
% 8.53/2.11 % (2187134)------------------------------
% 8.53/2.11 % (2187134)------------------------------
% 8.53/2.11 % (2187146)Instruction limit reached!
% 8.53/2.11 % (2187146)------------------------------
% 8.53/2.11 % (2187146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187146)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187146)Termination reason: Instruction limit
% 8.53/2.11 % (2187146)Termination phase: Saturation
% 8.53/2.11 % (2187146)Time elapsed: 0.084 s
% 8.53/2.11 % (2187146)Peak memory usage: 90 MB
% 8.53/2.11 % (2187146)Instructions burned: 159 (million)
% 8.53/2.11 % (2187151)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=3707699038:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.53/2.11 % (2187152)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3714234921:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.53/2.11 % (2187152)Refutation not found, incomplete strategy
% 8.53/2.11 % (2187152)------------------------------
% 8.53/2.11 % (2187152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187152)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187152)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.11 % (2187152)Time elapsed: 0.002 s
% 8.53/2.11 % (2187152)Peak memory usage: 88 MB
% 8.53/2.11 % (2187152)Instructions burned: 1 (million)
% 8.53/2.11 % (2187151)Instruction limit reached!
% 8.53/2.11 % (2187151)------------------------------
% 8.53/2.11 % (2187151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187151)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187151)Termination reason: Instruction limit
% 8.53/2.11 % (2187151)Termination phase: Saturation
% 8.53/2.11 % (2187151)Time elapsed: 0.077 s
% 8.53/2.11 % (2187151)Peak memory usage: 91 MB
% 8.53/2.11 % (2187151)Instructions burned: 250 (million)
% 8.53/2.11 % (2187153)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=538542595:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.53/2.11 % (2187147)------------------------------
% 8.53/2.11 % (2187147)------------------------------
% 8.53/2.11 % (2187156)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1721274045:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.53/2.11 % (2187152)------------------------------
% 8.53/2.11 % (2187152)------------------------------
% 8.53/2.11 % (2187158)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3407237737:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.53/2.11 % (2187156)Instruction limit reached!
% 8.53/2.11 % (2187156)------------------------------
% 8.53/2.11 % (2187156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187156)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187156)Termination reason: Instruction limit
% 8.53/2.11 % (2187156)Termination phase: Saturation
% 8.53/2.11 % (2187156)Time elapsed: 0.065 s
% 8.53/2.11 % (2187156)Peak memory usage: 89 MB
% 8.53/2.11 % (2187156)Instructions burned: 114 (million)
% 8.53/2.11 % (2187158)Instruction limit reached!
% 8.53/2.11 % (2187158)------------------------------
% 8.53/2.11 % (2187158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187158)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187158)Termination reason: Instruction limit
% 8.53/2.11 % (2187158)Termination phase: Saturation
% 8.53/2.11 % (2187158)Time elapsed: 0.058 s
% 8.53/2.11 % (2187158)Peak memory usage: 88 MB
% 8.53/2.11 % (2187158)Instructions burned: 127 (million)
% 8.53/2.11 % (2187131)First to succeed.
% 8.53/2.11 % (2187131)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2187126"
% 8.53/2.11 % (2187132)Also succeeded, but the first one will report.
% 8.53/2.11 % (2187161)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2885288738:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.53/2.11 % (2187162)lrs+10_1_sil=8000:sp=occurrence:random_seed=3731744760:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.53/2.11 % (2187161)Instruction limit reached!
% 8.53/2.11 % (2187161)------------------------------
% 8.53/2.11 % (2187161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187161)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187161)Termination reason: Instruction limit
% 8.53/2.11 % (2187161)Termination phase: Saturation
% 8.53/2.11 % (2187161)Time elapsed: 0.054 s
% 8.53/2.11 % (2187161)Peak memory usage: 88 MB
% 8.53/2.11 % (2187161)Instructions burned: 115 (million)
% 8.53/2.11 % (2187163)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1973009611:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.53/2.11 % (2187163)Refutation not found, incomplete strategy
% 8.53/2.11 % (2187163)------------------------------
% 8.53/2.11 % (2187163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.11 % (2187163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.11 % (2187163)CaDiCaL version: 2.1.3
% 8.53/2.11 % (2187163)Termination reason: Refutation not found, incomplete strategy
% 8.53/2.11 % (2187163)Time elapsed: 0.002 s
% 8.53/2.11 % (2187163)Peak memory usage: 88 MB
% 8.53/2.11 % (2187163)Instructions burned: 1 (million)
% 8.53/2.11 % (2187166)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2574464264:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.53/2.11 % (2187131)Refutation found. Thanks to Tanya!
% 8.53/2.11 % SZS status Theorem for theBenchmark
% 8.53/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 9.24/2.25 % (2187131)------------------------------
% 9.24/2.25 % (2187131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.25 % (2187131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.25 % (2187131)CaDiCaL version: 2.1.3
% 9.24/2.25 % (2187131)Termination reason: Refutation
% 9.24/2.25 % (2187131)Time elapsed: 0.796 s
% 9.24/2.26 % (2187131)Peak memory usage: 130 MB
% 9.24/2.26 % (2187131)Instructions burned: 1165 (million)
% 9.24/2.26 % (2187131)------------------------------
% 9.24/2.26 % (2187131)------------------------------
% 9.24/2.26 % (2187126)Success in time 1.229 s
% 9.24/2.26 % Vampire exiting
%------------------------------------------------------------------------------