%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV558+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 10.47s 2.36s
% Output : Refutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 48
% Syntax : Number of formulae : 336 ( 94 unt; 37 def)
% Number of atoms : 687 ( 108 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 617 ( 266 ~; 301 |; 21 &)
% ( 25 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 20 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn 152 !; 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(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
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(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),s(n(n(n(e)))))),a(s(p(s(n(e)))),a(s(s(n(e))),n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_1935_4128) ).
fof(f27,negated_conjecture,
~ disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),s(n(n(n(e)))))),a(s(p(s(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),s(n(n(n(e)))))),a(s(p(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(f31,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f31]) ).
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(f46,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f47,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
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(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),s(n(n(n(e)))))),a(s(p(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(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),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(p(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,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 = s(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f74,plain,
s(sF4) = sF5,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF6 = u(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f76,plain,
u(sF4,sF5) = sF6,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF7 = u(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f78,plain,
u(sF3,sF6) = sF7,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF8 = s(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f80,plain,
s(sF7) = sF8,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF9 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f82,plain,
u(sF3,sF4) = sF9,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF10 = s(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f84,plain,
s(sF9) = sF10,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF11 = u(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f86,plain,
u(sF9,sF10) = sF11,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF12 = p(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f88,plain,
p(sF11) = sF12,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF13 = s(sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f90,plain,
s(sF11) = sF13,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF14 = m(sF12,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f92,plain,
m(sF12,sF13) = sF14,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF15 = u(sF8,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f94,plain,
u(sF8,sF14) = sF15,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF16 = p(sF4),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f96,plain,
p(sF4) = 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(sF5,sF10),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f100,plain,
u(sF5,sF10) = 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(sF15,sF20),
inference(definition_folding,[],[f65,f104,f102,f100,f84,f82,f72,f70,f68,f70,f68,f74,f72,f70,f68,f98,f96,f72,f70,f68,f94,f92,f90,f86,f84,f82,f72,f70,f68,f70,f68,f82,f72,f70,f68,f70,f68,f88,f86,f84,f82,f72,f70,f68,f70,f68,f82,f72,f70,f68,f70,f68,f80,f78,f76,f74,f72,f70,f68,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,sF5),
inference(superposition,[],[f66,f74]) ).
fof(f110,plain,
mem(sF9,sF10),
inference(superposition,[],[f66,f84]) ).
fof(f114,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF3) ),
inference(superposition,[],[f54,f70]) ).
fof(f115,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF9) ),
inference(superposition,[],[f54,f82]) ).
fof(f124,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF9) ),
inference(superposition,[],[f55,f82]) ).
fof(f125,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF6) ),
inference(superposition,[],[f55,f76]) ).
fof(f134,plain,
! [X0] :
( ~ mem(X0,sF16)
| subq(X0,sF4) ),
inference(superposition,[],[f61,f96]) ).
fof(f135,plain,
! [X0] :
( ~ mem(X0,sF12)
| subq(X0,sF11) ),
inference(superposition,[],[f61,f88]) ).
fof(f136,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF11) ),
inference(superposition,[],[f55,f86]) ).
fof(f138,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF18) ),
inference(superposition,[],[f55,f100]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF2)
| e = X0 ),
inference(superposition,[],[f51,f68]) ).
fof(f149,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f51,f72]) ).
fof(f150,plain,
! [X0] :
( ~ mem(X0,sF5)
| sF4 = X0 ),
inference(superposition,[],[f51,f74]) ).
fof(f151,plain,
! [X0] :
( ~ mem(X0,sF8)
| sF7 = X0 ),
inference(superposition,[],[f51,f80]) ).
fof(f152,plain,
! [X0] :
( ~ mem(X0,sF10)
| sF9 = X0 ),
inference(superposition,[],[f51,f84]) ).
fof(f153,plain,
! [X0] :
( ~ mem(X0,sF13)
| sF11 = X0 ),
inference(superposition,[],[f51,f90]) ).
fof(f154,plain,
! [X0] :
( ~ mem(X0,sF17)
| sF16 = X0 ),
inference(superposition,[],[f51,f98]) ).
fof(f155,plain,
! [X0] :
( ~ mem(X0,sF19)
| sF18 = X0 ),
inference(superposition,[],[f51,f102]) ).
fof(f160,plain,
! [X0] :
( ~ mem(X0,sF14)
| mem(X0,sF12) ),
inference(superposition,[],[f57,f92]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f46,f54]) ).
fof(f166,plain,
mem(e,sF3),
inference(resolution,[],[f114,f106]) ).
fof(f169,plain,
mem(sF3,sF9),
inference(resolution,[],[f107,f115]) ).
fof(f178,plain,
mem(sF3,sF6),
inference(resolution,[],[f125,f107]) ).
fof(f180,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF7) ),
inference(superposition,[],[f55,f78]) ).
fof(f181,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF7) ),
inference(superposition,[],[f54,f78]) ).
fof(f187,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2)
| mem(X0,e) ),
inference(superposition,[],[f53,f70]) ).
fof(f188,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF4)
| mem(X0,sF3) ),
inference(superposition,[],[f53,f82]) ).
fof(f190,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF5)
| mem(X0,sF4) ),
inference(superposition,[],[f53,f76]) ).
fof(f191,plain,
! [X0] :
( ~ mem(X0,sF18)
| mem(X0,sF10)
| mem(X0,sF5) ),
inference(superposition,[],[f53,f100]) ).
fof(f192,plain,
! [X0] :
( ~ mem(X0,sF15)
| mem(X0,sF14)
| mem(X0,sF8) ),
inference(superposition,[],[f53,f94]) ).
fof(f193,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF10)
| mem(X0,sF9) ),
inference(superposition,[],[f53,f86]) ).
fof(f194,plain,
! [X0] :
( ~ mem(X0,sF20)
| mem(X0,sF19)
| mem(X0,sF17) ),
inference(superposition,[],[f53,f104]) ).
fof(f195,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f187,f50]) ).
fof(f198,plain,
! [X0] :
( ~ subq(X0,sF4)
| mem(X0,sF16) ),
inference(superposition,[],[f62,f96]) ).
fof(f202,plain,
mem(e,sF9),
inference(resolution,[],[f124,f166]) ).
fof(f208,plain,
! [X0] :
( mem(sK1(X0,sF20),sF19)
| mem(sK1(X0,sF20),sF17)
| disj(X0,sF20) ),
inference(resolution,[],[f194,f48]) ).
fof(f210,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f45,f46]) ).
fof(f218,plain,
! [X0] :
( mem(sK0(sF3,X0),sF2)
| subq(sF3,X0) ),
inference(resolution,[],[f45,f195]) ).
fof(f230,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f236,plain,
! [X0] :
( mem(sK1(sF15,X0),sF14)
| mem(sK1(sF15,X0),sF8)
| disj(sF15,X0) ),
inference(resolution,[],[f192,f49]) ).
fof(f288,plain,
mem(e,sF11),
inference(resolution,[],[f136,f202]) ).
fof(f296,plain,
mem(sF4,sF18),
inference(resolution,[],[f138,f108]) ).
fof(f303,plain,
mem(e,sF7),
inference(resolution,[],[f180,f166]) ).
fof(f307,plain,
mem(sF3,sF7),
inference(resolution,[],[f178,f181]) ).
fof(f322,plain,
mem(sF3,sF11),
inference(resolution,[],[f169,f136]) ).
fof(f334,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f44,f106]) ).
fof(f350,plain,
! [X0] :
( ~ subq(sF18,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f44,f296]) ).
fof(f402,plain,
! [X0] :
( mem(sK1(sF15,X0),sF12)
| disj(sF15,X0)
| mem(sK1(sF15,X0),sF8) ),
inference(resolution,[],[f236,f160]) ).
fof(f472,plain,
! [X0] :
( mem(sK1(X0,sF20),sF17)
| disj(X0,sF20)
| sF18 = sK1(X0,sF20) ),
inference(resolution,[],[f208,f155]) ).
fof(f476,plain,
! [X0] :
( disj(X0,sF20)
| sF18 = sK1(X0,sF20)
| sF16 = sK1(X0,sF20) ),
inference(resolution,[],[f472,f154]) ).
fof(f479,plain,
( sF18 = sK1(sF15,sF20)
| sF16 = sK1(sF15,sF20) ),
inference(resolution,[],[f476,f105]) ).
fof(f481,definition,
( spl21_15
<=> sF16 = sK1(sF15,sF20) ),
introduced(definition,[new_symbols(definition,[spl21_15])],[avatar_definition]) ).
fof(f483,plain,
( sF16 = sK1(sF15,sF20)
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f485,definition,
( spl21_16
<=> sF18 = sK1(sF15,sF20) ),
introduced(definition,[new_symbols(definition,[spl21_16])],[avatar_definition]) ).
fof(f487,plain,
( sF18 = sK1(sF15,sF20)
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,plain,
( spl21_15
| spl21_16 ),
inference(avatar_split_clause,[],[f479,f485,f481]) ).
fof(f489,plain,
( mem(sF16,sF12)
| disj(sF15,sF20)
| mem(sF16,sF8)
| ~ spl21_15 ),
inference(superposition,[],[f402,f483]) ).
fof(f499,plain,
( mem(sF16,sF12)
| mem(sF16,sF8)
| ~ spl21_15 ),
inference(forward_subsumption_resolution,[],[f489,f105]) ).
fof(f501,definition,
( spl21_17
<=> mem(sF16,sF8) ),
introduced(definition,[new_symbols(definition,[spl21_17])],[avatar_definition]) ).
fof(f503,plain,
( mem(sF16,sF8)
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f515,definition,
( spl21_20
<=> mem(sF16,sF12) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
fof(f517,plain,
( mem(sF16,sF12)
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,plain,
( spl21_17
| spl21_20
| ~ spl21_15 ),
inference(avatar_split_clause,[],[f499,f481,f515,f501]) ).
fof(f519,plain,
( mem(sF18,sF12)
| disj(sF15,sF20)
| mem(sF18,sF8)
| ~ spl21_16 ),
inference(superposition,[],[f402,f487]) ).
fof(f528,plain,
( mem(sF18,sF12)
| mem(sF18,sF8)
| ~ spl21_16 ),
inference(forward_subsumption_resolution,[],[f519,f105]) ).
fof(f530,definition,
( spl21_21
<=> mem(sF18,sF8) ),
introduced(definition,[new_symbols(definition,[spl21_21])],[avatar_definition]) ).
fof(f532,plain,
( mem(sF18,sF8)
| ~ spl21_21 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f544,definition,
( spl21_24
<=> mem(sF18,sF12) ),
introduced(definition,[new_symbols(definition,[spl21_24])],[avatar_definition]) ).
fof(f546,plain,
( mem(sF18,sF12)
| ~ spl21_24 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f547,plain,
( spl21_21
| spl21_24
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f528,f485,f544,f530]) ).
fof(f558,plain,
( sF7 = sF16
| ~ spl21_17 ),
inference(resolution,[],[f503,f151]) ).
fof(f642,definition,
( spl21_27
<=> mem(sF9,sF3) ),
introduced(definition,[new_symbols(definition,[spl21_27])],[avatar_definition]) ).
fof(f643,plain,
( ~ mem(sF9,sF3)
| spl21_27 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( mem(sF9,sF3)
| ~ spl21_27 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f650,plain,
( subq(sF16,sF11)
| ~ spl21_20 ),
inference(resolution,[],[f517,f135]) ).
fof(f715,definition,
( spl21_36
<=> mem(e,sF13) ),
introduced(definition,[new_symbols(definition,[spl21_36])],[avatar_definition]) ).
fof(f716,plain,
( ~ mem(e,sF13)
| spl21_36 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f717,plain,
( mem(e,sF13)
| ~ spl21_36 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f723,plain,
( e = sF11
| ~ spl21_36 ),
inference(resolution,[],[f717,f153]) ).
fof(f725,plain,
( ! [X0] : ~ mem(X0,sF11)
| ~ spl21_36 ),
inference(superposition,[],[f50,f723]) ).
fof(f762,plain,
( $false
| ~ spl21_36 ),
inference(resolution,[],[f725,f288]) ).
fof(f770,plain,
~ spl21_36,
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f898,plain,
mem(sF4,sF16),
inference(resolution,[],[f230,f198]) ).
fof(f921,plain,
! [X0] :
( ~ subq(sF16,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f898,f44]) ).
fof(f1008,plain,
( sF7 = sF18
| ~ spl21_21 ),
inference(resolution,[],[f532,f151]) ).
fof(f1083,plain,
( mem(sF9,sF2)
| ~ spl21_27 ),
inference(resolution,[],[f644,f195]) ).
fof(f1105,definition,
( spl21_46
<=> mem(sF4,sF9) ),
introduced(definition,[new_symbols(definition,[spl21_46])],[avatar_definition]) ).
fof(f1106,plain,
( ~ mem(sF4,sF9)
| spl21_46 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1107,plain,
( mem(sF4,sF9)
| ~ spl21_46 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1109,definition,
( spl21_47
<=> mem(sF4,sF10) ),
introduced(definition,[new_symbols(definition,[spl21_47])],[avatar_definition]) ).
fof(f1110,plain,
( ~ mem(sF4,sF10)
| spl21_47 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1111,plain,
( mem(sF4,sF10)
| ~ spl21_47 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1114,plain,
( mem(sF4,sF4)
| mem(sF4,sF3)
| ~ spl21_46 ),
inference(resolution,[],[f1107,f188]) ).
fof(f1117,definition,
( spl21_48
<=> mem(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl21_48])],[avatar_definition]) ).
fof(f1118,plain,
( ~ mem(sF4,sF3)
| spl21_48 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1119,plain,
( mem(sF4,sF3)
| ~ spl21_48 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f1121,definition,
( spl21_49
<=> mem(sF4,sF4) ),
introduced(definition,[new_symbols(definition,[spl21_49])],[avatar_definition]) ).
fof(f1122,plain,
( ~ mem(sF4,sF4)
| spl21_49 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1123,plain,
( mem(sF4,sF4)
| ~ spl21_49 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1124,plain,
( spl21_48
| spl21_49
| ~ spl21_46 ),
inference(avatar_split_clause,[],[f1114,f1105,f1121,f1117]) ).
fof(f1126,plain,
( mem(sF4,sF2)
| ~ spl21_48 ),
inference(resolution,[],[f1119,f195]) ).
fof(f1129,plain,
( e = sF4
| ~ spl21_48 ),
inference(resolution,[],[f1126,f148]) ).
fof(f1132,plain,
( ! [X0] : ~ mem(X0,sF4)
| ~ spl21_48 ),
inference(superposition,[],[f50,f1129]) ).
fof(f1133,plain,
( sF2 = s(sF4)
| ~ spl21_48 ),
inference(superposition,[],[f68,f1129]) ).
fof(f1148,plain,
( sF2 = sF5
| ~ spl21_48 ),
inference(forward_demodulation,[],[f1133,f74]) ).
fof(f1149,plain,
( sF3 = u(e,sF5)
| ~ spl21_48 ),
inference(superposition,[],[f70,f1148]) ).
fof(f1158,plain,
( sF3 = u(sF4,sF5)
| ~ spl21_48 ),
inference(forward_demodulation,[],[f1149,f1129]) ).
fof(f1159,plain,
( sF3 = sF6
| ~ spl21_48 ),
inference(forward_demodulation,[],[f1158,f76]) ).
fof(f1162,plain,
( mem(sF3,sF3)
| ~ spl21_48 ),
inference(superposition,[],[f178,f1159]) ).
fof(f1164,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF5)
| mem(X0,sF4) )
| ~ spl21_48 ),
inference(superposition,[],[f190,f1159]) ).
fof(f1167,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF5) )
| ~ spl21_48 ),
inference(forward_subsumption_resolution,[],[f1164,f1132]) ).
fof(f1178,plain,
( mem(sF3,sF5)
| ~ spl21_48 ),
inference(resolution,[],[f1162,f1167]) ).
fof(f1185,plain,
( sF3 = sF4
| ~ spl21_48 ),
inference(resolution,[],[f1178,f150]) ).
fof(f1193,plain,
( mem(sF4,sF4)
| ~ spl21_48 ),
inference(superposition,[],[f107,f1185]) ).
fof(f1217,plain,
( $false
| ~ spl21_48 ),
inference(forward_subsumption_resolution,[],[f1193,f1132]) ).
fof(f1218,plain,
~ spl21_48,
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1224,plain,
( sF3 = sF4
| ~ spl21_49 ),
inference(resolution,[],[f1123,f149]) ).
fof(f1233,plain,
( mem(e,sF4)
| ~ spl21_49 ),
inference(superposition,[],[f166,f1224]) ).
fof(f1264,plain,
( e = sF3
| ~ spl21_49 ),
inference(resolution,[],[f1233,f149]) ).
fof(f1269,plain,
( e = sF4
| ~ spl21_49 ),
inference(forward_demodulation,[],[f1264,f1224]) ).
fof(f1276,plain,
( mem(sF4,sF3)
| ~ spl21_49 ),
inference(superposition,[],[f166,f1269]) ).
fof(f1287,plain,
( $false
| spl21_48
| ~ spl21_49 ),
inference(forward_subsumption_resolution,[],[f1276,f1118]) ).
fof(f1288,plain,
( spl21_48
| ~ spl21_49 ),
inference(avatar_contradiction_clause,[],[f1287]) ).
fof(f1292,plain,
( sF4 = sF9
| ~ spl21_47 ),
inference(resolution,[],[f1111,f152]) ).
fof(f1303,plain,
( mem(e,sF4)
| ~ spl21_47 ),
inference(superposition,[],[f202,f1292]) ).
fof(f1351,plain,
( e = sF9
| ~ spl21_27 ),
inference(resolution,[],[f1083,f148]) ).
fof(f1355,plain,
( sF2 = s(sF9)
| ~ spl21_27 ),
inference(superposition,[],[f68,f1351]) ).
fof(f1371,plain,
( sF2 = sF10
| ~ spl21_27 ),
inference(forward_demodulation,[],[f1355,f84]) ).
fof(f1372,plain,
( sF3 = u(e,sF10)
| ~ spl21_27 ),
inference(superposition,[],[f70,f1371]) ).
fof(f1381,plain,
( sF3 = u(sF9,sF10)
| ~ spl21_27 ),
inference(forward_demodulation,[],[f1372,f1351]) ).
fof(f1382,plain,
( sF3 = sF11
| ~ spl21_27 ),
inference(forward_demodulation,[],[f1381,f86]) ).
fof(f1384,plain,
( s(sF3) = sF13
| ~ spl21_27 ),
inference(superposition,[],[f90,f1382]) ).
fof(f1390,plain,
( mem(sF3,sF3)
| ~ spl21_27 ),
inference(superposition,[],[f322,f1382]) ).
fof(f1396,plain,
( sF4 = sF13
| ~ spl21_27 ),
inference(forward_demodulation,[],[f1384,f72]) ).
fof(f1404,plain,
( ~ mem(e,sF4)
| ~ spl21_27
| spl21_36 ),
inference(superposition,[],[f716,f1396]) ).
fof(f1405,plain,
( ~ mem(sF9,sF4)
| ~ spl21_27
| spl21_36 ),
inference(forward_demodulation,[],[f1404,f1351]) ).
fof(f1428,plain,
( mem(sF3,sF2)
| ~ spl21_27 ),
inference(resolution,[],[f1390,f195]) ).
fof(f1431,plain,
( mem(sF3,sF10)
| ~ spl21_27 ),
inference(forward_demodulation,[],[f1428,f1371]) ).
fof(f1432,plain,
( sF3 = sF9
| ~ spl21_27 ),
inference(resolution,[],[f1431,f152]) ).
fof(f1438,plain,
( s(sF3) = sF10
| ~ spl21_27 ),
inference(superposition,[],[f84,f1432]) ).
fof(f1457,plain,
( sF4 = sF10
| ~ spl21_27 ),
inference(forward_demodulation,[],[f1438,f72]) ).
fof(f1461,plain,
( mem(sF9,sF4)
| ~ spl21_27 ),
inference(superposition,[],[f110,f1457]) ).
fof(f1469,plain,
( $false
| ~ spl21_27
| spl21_36 ),
inference(forward_subsumption_resolution,[],[f1461,f1405]) ).
fof(f1470,plain,
( ~ spl21_27
| spl21_36 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1743,plain,
( subq(sF18,sF11)
| ~ spl21_24 ),
inference(resolution,[],[f546,f135]) ).
fof(f1753,plain,
( mem(sF4,sF11)
| ~ spl21_24 ),
inference(resolution,[],[f1743,f350]) ).
fof(f1765,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl21_24 ),
inference(resolution,[],[f1753,f193]) ).
fof(f1767,plain,
( mem(sF4,sF9)
| ~ spl21_24
| spl21_47 ),
inference(forward_subsumption_resolution,[],[f1765,f1110]) ).
fof(f1768,plain,
( $false
| ~ spl21_24
| spl21_46
| spl21_47 ),
inference(forward_subsumption_resolution,[],[f1767,f1106]) ).
fof(f1769,plain,
( ~ spl21_24
| spl21_46
| spl21_47 ),
inference(avatar_contradiction_clause,[],[f1768]) ).
fof(f1781,plain,
( e = sF3
| ~ spl21_47 ),
inference(resolution,[],[f1303,f149]) ).
fof(f1786,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl21_47 ),
inference(superposition,[],[f50,f1781]) ).
fof(f1787,plain,
( sF2 = s(sF3)
| ~ spl21_47 ),
inference(superposition,[],[f68,f1781]) ).
fof(f1803,plain,
( sF2 = sF4
| ~ spl21_47 ),
inference(forward_demodulation,[],[f1787,f72]) ).
fof(f1806,plain,
( ! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF3) )
| ~ spl21_47 ),
inference(superposition,[],[f114,f1803]) ).
fof(f1810,plain,
( ! [X0] : ~ mem(X0,sF4)
| ~ spl21_47 ),
inference(forward_subsumption_resolution,[],[f1806,f1786]) ).
fof(f1814,plain,
( $false
| ~ spl21_47 ),
inference(resolution,[],[f1810,f1303]) ).
fof(f1823,plain,
~ spl21_47,
inference(avatar_contradiction_clause,[],[f1814]) ).
fof(f1831,plain,
( ! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF10)
| mem(X0,sF5) )
| ~ spl21_21 ),
inference(superposition,[],[f191,f1008]) ).
fof(f1885,plain,
( mem(e,sF10)
| mem(e,sF5)
| ~ spl21_21 ),
inference(resolution,[],[f1831,f303]) ).
fof(f1905,definition,
( spl21_56
<=> mem(e,sF5) ),
introduced(definition,[new_symbols(definition,[spl21_56])],[avatar_definition]) ).
fof(f1907,plain,
( mem(e,sF5)
| ~ spl21_56 ),
inference(avatar_component_clause,[],[f1905]) ).
fof(f1909,definition,
( spl21_57
<=> mem(e,sF10) ),
introduced(definition,[new_symbols(definition,[spl21_57])],[avatar_definition]) ).
fof(f1911,plain,
( mem(e,sF10)
| ~ spl21_57 ),
inference(avatar_component_clause,[],[f1909]) ).
fof(f1912,plain,
( spl21_56
| spl21_57
| ~ spl21_21 ),
inference(avatar_split_clause,[],[f1885,f530,f1909,f1905]) ).
fof(f1913,plain,
( e = sF9
| ~ spl21_57 ),
inference(resolution,[],[f1911,f152]) ).
fof(f1924,plain,
( mem(sF9,sF3)
| ~ spl21_57 ),
inference(superposition,[],[f166,f1913]) ).
fof(f1935,plain,
( $false
| spl21_27
| ~ spl21_57 ),
inference(forward_subsumption_resolution,[],[f1924,f643]) ).
fof(f1936,plain,
( spl21_27
| ~ spl21_57 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1939,plain,
( e = sF4
| ~ spl21_56 ),
inference(resolution,[],[f1907,f150]) ).
fof(f1949,plain,
( mem(sF4,sF3)
| ~ spl21_56 ),
inference(superposition,[],[f166,f1939]) ).
fof(f1962,plain,
( $false
| spl21_48
| ~ spl21_56 ),
inference(forward_subsumption_resolution,[],[f1949,f1118]) ).
fof(f1963,plain,
( spl21_48
| ~ spl21_56 ),
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f2047,definition,
( spl21_64
<=> mem(sF2,sF16) ),
introduced(definition,[new_symbols(definition,[spl21_64])],[avatar_definition]) ).
fof(f2048,plain,
( ~ mem(sF2,sF16)
| spl21_64 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2049,plain,
( mem(sF2,sF16)
| ~ spl21_64 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2067,plain,
( subq(sF2,sF4)
| ~ spl21_64 ),
inference(resolution,[],[f2049,f134]) ).
fof(f2069,plain,
( mem(e,sF4)
| ~ spl21_64 ),
inference(resolution,[],[f2067,f334]) ).
fof(f2081,plain,
( e = sF3
| ~ spl21_64 ),
inference(resolution,[],[f2069,f149]) ).
fof(f2090,plain,
( sF2 = s(sF3)
| ~ spl21_64 ),
inference(superposition,[],[f68,f2081]) ).
fof(f2110,plain,
( sF2 = sF4
| ~ spl21_64 ),
inference(forward_demodulation,[],[f2090,f72]) ).
fof(f2308,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f165,f45]) ).
fof(f2331,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f2308]) ).
fof(f2551,plain,
( subq(sF3,sF2)
| subq(sF3,sF2) ),
inference(resolution,[],[f218,f46]) ).
fof(f2559,plain,
subq(sF3,sF2),
inference(duplicate_literal_removal,[],[f2551]) ).
fof(f2562,plain,
( sF2 = sF3
| ~ subq(sF2,sF3) ),
inference(resolution,[],[f2559,f47]) ).
fof(f2564,definition,
( spl21_90
<=> subq(sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl21_90])],[avatar_definition]) ).
fof(f2566,plain,
( ~ subq(sF2,sF3)
| spl21_90 ),
inference(avatar_component_clause,[],[f2564]) ).
fof(f2568,definition,
( spl21_91
<=> sF2 = sF3 ),
introduced(definition,[new_symbols(definition,[spl21_91])],[avatar_definition]) ).
fof(f2570,plain,
( sF2 = sF3
| ~ spl21_91 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f2571,plain,
( ~ spl21_90
| spl21_91 ),
inference(avatar_split_clause,[],[f2562,f2568,f2564]) ).
fof(f2859,definition,
( spl21_108
<=> sF3 = sF4 ),
introduced(definition,[new_symbols(definition,[spl21_108])],[avatar_definition]) ).
fof(f2861,plain,
( sF3 = sF4
| ~ spl21_108 ),
inference(avatar_component_clause,[],[f2859]) ).
fof(f3370,plain,
subq(sF2,sF3),
inference(superposition,[],[f2331,f70]) ).
fof(f3380,plain,
( $false
| spl21_90 ),
inference(forward_subsumption_resolution,[],[f3370,f2566]) ).
fof(f3381,plain,
spl21_90,
inference(avatar_contradiction_clause,[],[f3380]) ).
fof(f4323,plain,
( mem(sF4,sF11)
| ~ spl21_20 ),
inference(resolution,[],[f921,f650]) ).
fof(f4324,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl21_20 ),
inference(resolution,[],[f4323,f193]) ).
fof(f4326,plain,
( mem(sF4,sF9)
| ~ spl21_20
| spl21_47 ),
inference(forward_subsumption_resolution,[],[f4324,f1110]) ).
fof(f4327,plain,
( $false
| ~ spl21_20
| spl21_46
| spl21_47 ),
inference(forward_subsumption_resolution,[],[f4326,f1106]) ).
fof(f4328,plain,
( ~ spl21_20
| spl21_46
| spl21_47 ),
inference(avatar_contradiction_clause,[],[f4327]) ).
fof(f4388,plain,
( ~ mem(sF2,sF7)
| ~ spl21_17
| spl21_64 ),
inference(superposition,[],[f2048,f558]) ).
fof(f4402,plain,
( ~ mem(sF3,sF7)
| ~ spl21_17
| spl21_64
| ~ spl21_91 ),
inference(forward_demodulation,[],[f4388,f2570]) ).
fof(f4404,plain,
( $false
| ~ spl21_17
| spl21_64
| ~ spl21_91 ),
inference(forward_subsumption_resolution,[],[f4402,f307]) ).
fof(f4405,plain,
( ~ spl21_17
| spl21_64
| ~ spl21_91 ),
inference(avatar_contradiction_clause,[],[f4404]) ).
fof(f4411,plain,
( sF3 = sF4
| ~ spl21_64
| ~ spl21_91 ),
inference(forward_demodulation,[],[f2110,f2570]) ).
fof(f4432,plain,
( spl21_108
| ~ spl21_64
| ~ spl21_91 ),
inference(avatar_split_clause,[],[f4411,f2568,f2047,f2859]) ).
fof(f4461,plain,
( mem(sF4,sF4)
| ~ spl21_108 ),
inference(superposition,[],[f107,f2861]) ).
fof(f4503,plain,
( $false
| spl21_49
| ~ spl21_108 ),
inference(forward_subsumption_resolution,[],[f4461,f1122]) ).
fof(f4504,plain,
( spl21_49
| ~ spl21_108 ),
inference(avatar_contradiction_clause,[],[f4503]) ).
cnf(s7,plain,
( spl21_15
| spl21_16 ),
inference(sat_conversion,[],[f488]) ).
cnf(s10,plain,
( ~ spl21_15
| spl21_17
| spl21_20 ),
inference(sat_conversion,[],[f518]) ).
cnf(s13,plain,
( ~ spl21_16
| spl21_21
| spl21_24 ),
inference(sat_conversion,[],[f547]) ).
cnf(s23,plain,
~ spl21_36,
inference(sat_conversion,[],[f770]) ).
cnf(s31,plain,
( ~ spl21_46
| spl21_48
| spl21_49 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s36,plain,
~ spl21_48,
inference(sat_conversion,[],[f1218]) ).
cnf(s37,plain,
( spl21_48
| ~ spl21_49 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s42,plain,
( ~ spl21_27
| spl21_36 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s51,plain,
( ~ spl21_24
| spl21_46
| spl21_47 ),
inference(sat_conversion,[],[f1769]) ).
cnf(s54,plain,
~ spl21_47,
inference(sat_conversion,[],[f1823]) ).
cnf(s59,plain,
( ~ spl21_21
| spl21_56
| spl21_57 ),
inference(sat_conversion,[],[f1912]) ).
cnf(s60,plain,
( spl21_27
| ~ spl21_57 ),
inference(sat_conversion,[],[f1936]) ).
cnf(s62,plain,
( spl21_48
| ~ spl21_56 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s93,plain,
( ~ spl21_90
| spl21_91 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s152,plain,
spl21_90,
inference(sat_conversion,[],[f3381]) ).
cnf(s231,plain,
( ~ spl21_20
| spl21_46
| spl21_47 ),
inference(sat_conversion,[],[f4328]) ).
cnf(s236,plain,
( ~ spl21_17
| spl21_64
| ~ spl21_91 ),
inference(sat_conversion,[],[f4405]) ).
cnf(s249,plain,
( ~ spl21_64
| ~ spl21_91
| spl21_108 ),
inference(sat_conversion,[],[f4432]) ).
cnf(s257,plain,
( spl21_49
| ~ spl21_108 ),
inference(sat_conversion,[],[f4504]) ).
cnf(s262,plain,
spl21_91,
inference(rat,[],[s93,s152]) ).
cnf(s270,plain,
( ~ spl21_24
| spl21_46 ),
inference(rat,[],[s51,s54]) ).
cnf(s271,plain,
~ spl21_56,
inference(rat,[],[s62,s36]) ).
cnf(s272,plain,
~ spl21_49,
inference(rat,[],[s37,s36]) ).
cnf(s275,plain,
~ spl21_108,
inference(rat,[],[s257,s272]) ).
cnf(s279,plain,
~ spl21_64,
inference(rat,[],[s249,s262,s275]) ).
cnf(s284,plain,
~ spl21_17,
inference(rat,[],[s236,s262,s279]) ).
cnf(s286,plain,
~ spl21_46,
inference(rat,[],[s31,s272,s36]) ).
cnf(s287,plain,
~ spl21_20,
inference(rat,[],[s231,s54,s286]) ).
cnf(s288,plain,
~ spl21_24,
inference(rat,[],[s270,s286]) ).
cnf(s293,plain,
~ spl21_27,
inference(rat,[],[s42,s23]) ).
cnf(s296,plain,
~ spl21_57,
inference(rat,[],[s60,s293]) ).
cnf(s302,plain,
~ spl21_21,
inference(rat,[],[s59,s271,s296]) ).
cnf(s309,plain,
~ spl21_16,
inference(rat,[],[s13,s288,s302]) ).
cnf(s310,plain,
~ spl21_15,
inference(rat,[],[s10,s287,s284]) ).
cnf(s311,plain,
$false,
inference(rat,[],[s7,s309,s310]) ).
fof(f4513,plain,
$false,
inference(avatar_sat_refutation,[],[s311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV558+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 06:34:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 10.47/2.36 % (2186690)Detected formulas, will run a generic FOF schedule.
% 10.47/2.36 % (2186698)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3763617623:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.47/2.36 % (2186698)Refutation not found, incomplete strategy
% 10.47/2.36 % (2186698)------------------------------
% 10.47/2.36 % (2186698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186698)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186698)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2186698)Time elapsed: 0.001 s
% 10.47/2.36 % (2186698)Peak memory usage: 88 MB
% 10.47/2.36 % (2186698)Instructions burned: 1 (million)
% 10.47/2.36 % (2186701)dis-21_1_sil=8000:lcm=predicate:random_seed=4184855477: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)
% 10.47/2.36 % (2186700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1153036195:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.47/2.36 % (2186699)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3615868995:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.47/2.36 % (2186696)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=1528896162:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.47/2.36 % (2186697)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=1022011483:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.47/2.36 % (2186695)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=1105780958:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.47/2.36 % (2186701)Instruction limit reached!
% 10.47/2.36 % (2186701)------------------------------
% 10.47/2.36 % (2186701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186701)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186701)Termination reason: Instruction limit
% 10.47/2.36 % (2186701)Termination phase: Saturation
% 10.47/2.36 % (2186701)Time elapsed: 0.068 s
% 10.47/2.36 % (2186701)Peak memory usage: 88 MB
% 10.47/2.36 % (2186701)Instructions burned: 129 (million)
% 10.47/2.36 % (2186699)Instruction limit reached!
% 10.47/2.36 % (2186699)------------------------------
% 10.47/2.36 % (2186699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186699)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186699)Termination reason: Instruction limit
% 10.47/2.36 % (2186699)Termination phase: Saturation
% 10.47/2.36 % (2186699)Time elapsed: 0.076 s
% 10.47/2.36 % (2186699)Peak memory usage: 88 MB
% 10.47/2.36 % (2186699)Instructions burned: 119 (million)
% 10.47/2.36 % (2186700)Instruction limit reached!
% 10.47/2.36 % (2186700)------------------------------
% 10.47/2.36 % (2186700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186700)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186700)Termination reason: Instruction limit
% 10.47/2.36 % (2186700)Termination phase: Saturation
% 10.47/2.36 % (2186700)Time elapsed: 0.091 s
% 10.47/2.36 % (2186700)Peak memory usage: 89 MB
% 10.47/2.36 % (2186700)Instructions burned: 140 (million)
% 10.47/2.36 % (2186698)------------------------------
% 10.47/2.36 % (2186698)------------------------------
% 10.47/2.36 % (2186709)lrs+10_1_sil=8000:sp=occurrence:random_seed=277970902:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.47/2.36 % (2186710)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2146060639:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.47/2.36 % (2186712)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=3734644709:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.47/2.36 % (2186711)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3757129777:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.47/2.36 % (2186711)Refutation not found, incomplete strategy
% 10.47/2.36 % (2186711)------------------------------
% 10.47/2.36 % (2186711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186711)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186711)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2186711)Time elapsed: 0.006 s
% 10.47/2.36 % (2186711)Peak memory usage: 88 MB
% 10.47/2.36 % (2186711)Instructions burned: 9 (million)
% 10.47/2.36 % (2186710)Instruction limit reached!
% 10.47/2.36 % (2186710)------------------------------
% 10.47/2.36 % (2186710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186710)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186710)Termination reason: Instruction limit
% 10.47/2.36 % (2186710)Termination phase: Saturation
% 10.47/2.36 % (2186710)Time elapsed: 0.083 s
% 10.47/2.36 % (2186710)Peak memory usage: 90 MB
% 10.47/2.36 % (2186710)Instructions burned: 157 (million)
% 10.47/2.36 % (2186712)Instruction limit reached!
% 10.47/2.36 % (2186712)------------------------------
% 10.47/2.36 % (2186712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186712)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186712)Termination reason: Instruction limit
% 10.47/2.36 % (2186712)Termination phase: Saturation
% 10.47/2.36 % (2186712)Time elapsed: 0.076 s
% 10.47/2.36 % (2186712)Peak memory usage: 91 MB
% 10.47/2.36 % (2186712)Instructions burned: 250 (million)
% 10.47/2.36 % (2186709)Instruction limit reached!
% 10.47/2.36 % (2186709)------------------------------
% 10.47/2.36 % (2186709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186709)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186709)Termination reason: Instruction limit
% 10.47/2.36 % (2186709)Termination phase: Saturation
% 10.47/2.36 % (2186709)Time elapsed: 0.185 s
% 10.47/2.36 % (2186709)Peak memory usage: 91 MB
% 10.47/2.36 % (2186709)Instructions burned: 287 (million)
% 10.47/2.36 % (2186717)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=481509846:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.47/2.36 % (2186717)Refutation not found, incomplete strategy
% 10.47/2.36 % (2186717)------------------------------
% 10.47/2.36 % (2186717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186717)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186717)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2186717)Time elapsed: 0.001 s
% 10.47/2.36 % (2186717)Peak memory usage: 88 MB
% 10.47/2.36 % (2186717)Instructions burned: 1 (million)
% 10.47/2.36 % (2186718)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1156592199:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.47/2.36 % (2186711)------------------------------
% 10.47/2.36 % (2186711)------------------------------
% 10.47/2.36 % (2186719)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1862584998:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.47/2.36 % (2186717)------------------------------
% 10.47/2.36 % (2186717)------------------------------
% 10.47/2.36 % (2186722)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3056082892:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.47/2.36 % (2186719)Instruction limit reached!
% 10.47/2.36 % (2186719)------------------------------
% 10.47/2.36 % (2186719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186719)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186719)Termination reason: Instruction limit
% 10.47/2.36 % (2186719)Termination phase: Saturation
% 10.47/2.36 % (2186719)Time elapsed: 0.066 s
% 10.47/2.36 % (2186719)Peak memory usage: 89 MB
% 10.47/2.36 % (2186719)Instructions burned: 113 (million)
% 10.47/2.36 % (2186722)Instruction limit reached!
% 10.47/2.36 % (2186722)------------------------------
% 10.47/2.36 % (2186722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186722)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186722)Termination reason: Instruction limit
% 10.47/2.36 % (2186722)Termination phase: Saturation
% 10.47/2.36 % (2186722)Time elapsed: 0.031 s
% 10.47/2.36 % (2186722)Peak memory usage: 88 MB
% 10.47/2.36 % (2186722)Instructions burned: 129 (million)
% 10.47/2.36 % (2186725)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3591635609:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.47/2.36 % (2186726)lrs+10_1_sil=8000:sp=occurrence:random_seed=1697055814:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.47/2.36 % (2186727)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3000913713:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.47/2.36 % (2186727)Refutation not found, incomplete strategy
% 10.47/2.36 % (2186727)------------------------------
% 10.47/2.36 % (2186727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186727)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186727)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2186727)Time elapsed: 0.001 s
% 10.47/2.36 % (2186727)Peak memory usage: 88 MB
% 10.47/2.36 % (2186727)Instructions burned: 1 (million)
% 10.47/2.36 % (2186725)Instruction limit reached!
% 10.47/2.36 % (2186725)------------------------------
% 10.47/2.36 % (2186725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186725)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186725)Termination reason: Instruction limit
% 10.47/2.36 % (2186725)Termination phase: Saturation
% 10.47/2.36 % (2186725)Time elapsed: 0.054 s
% 10.47/2.36 % (2186725)Peak memory usage: 88 MB
% 10.47/2.36 % (2186725)Instructions burned: 115 (million)
% 10.47/2.36 % (2186727)------------------------------
% 10.47/2.36 % (2186727)------------------------------
% 10.47/2.36 % (2186731)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2683905269:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.47/2.36 % (2186732)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1523488725:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 10.47/2.36 % (2186695)First to succeed.
% 10.47/2.36 % (2186695)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2186690"
% 10.47/2.36 % (2186732)Instruction limit reached!
% 10.47/2.36 % (2186732)------------------------------
% 10.47/2.36 % (2186732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186732)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186732)Termination reason: Instruction limit
% 10.47/2.36 % (2186732)Termination phase: Saturation
% 10.47/2.36 % (2186732)Time elapsed: 0.038 s
% 10.47/2.36 % (2186732)Peak memory usage: 90 MB
% 10.47/2.36 % (2186732)Instructions burned: 136 (million)
% 10.47/2.36 % (2186735)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2320976716:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 10.47/2.36 % (2186735)Refutation not found, incomplete strategy
% 10.47/2.36 % (2186735)------------------------------
% 10.47/2.36 % (2186735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2186735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2186735)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2186735)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2186735)Time elapsed: 0.001 s
% 10.47/2.36 % (2186735)Peak memory usage: 88 MB
% 10.47/2.36 % (2186735)Instructions burned: 1 (million)
% 10.47/2.36 % (2186696)Also succeeded, but the first one will report.
% 10.47/2.36 % (2186695)Refutation found. Thanks to Tanya!
% 10.47/2.36 % SZS status Theorem for theBenchmark
% 10.47/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 11.25/2.56 % (2186695)------------------------------
% 11.25/2.56 % (2186695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.56 % (2186695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.56 % (2186695)CaDiCaL version: 2.1.3
% 11.25/2.56 % (2186695)Termination reason: Refutation
% 11.25/2.56 % (2186695)Time elapsed: 1.073 s
% 11.25/2.56 % (2186695)Peak memory usage: 134 MB
% 11.25/2.56 % (2186695)Instructions burned: 1539 (million)
% 11.25/2.56 % (2186695)------------------------------
% 11.25/2.56 % (2186695)------------------------------
% 11.25/2.56 % (2186690)Success in time 1.51 s
% 11.25/2.56 % Vampire exiting
%------------------------------------------------------------------------------