%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV564+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:58:20 PM UTC 2026
% Result : Theorem 5.54s 2.21s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 63
% Syntax : Number of formulae : 361 ( 111 unt; 53 def)
% Number of atoms : 718 ( 107 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 633 ( 276 ~; 303 |; 17 &)
% ( 34 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 29 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 26 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn 137 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).
fof(f7,axiom,
! [X0,X1,X2] :
( mem(X0,m(X1,X2))
<=> ( mem(X0,X1)
& ~ mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_ax) ).
fof(f26,conjecture,
~ subq(u(m(p(u(n(e),n(s(n(e))))),p(n(n(e)))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e))))),u(a(a(s(p(s(n(e)))),n(s(n(e)))),u(n(e),n(s(n(e))))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_2032_2016) ).
fof(f27,negated_conjecture,
~ ~ subq(u(m(p(u(n(e),n(s(n(e))))),p(n(n(e)))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e))))),u(a(a(s(p(s(n(e)))),n(s(n(e)))),u(n(e),n(s(n(e))))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(m(p(u(n(e),n(s(n(e))))),p(n(n(e)))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e))))),u(a(a(s(p(s(n(e)))),n(s(n(e)))),u(n(e),n(s(n(e))))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f45,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| mem(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f53,plain,
! [X2,X0,X1] :
( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f54,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
subq(u(m(p(u(n(e),n(s(n(e))))),p(n(n(e)))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e))))),u(a(a(s(p(s(n(e)))),n(s(n(e)))),u(n(e),n(s(n(e))))),m(m(p(n(n(n(e)))),n(n(n(n(e))))),s(s(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f55,f54]) ).
fof(f60,plain,
subq(u(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),p(u(u(e,s(e)),s(u(e,s(e)))))),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))))))),u(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))))))))),s(s(u(e,s(e)))))),u(u(u(s(p(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),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))))))),u(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))))))))),s(s(u(e,s(e))))))),
inference(definition_unfolding,[],[f58,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f54,f54,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59]) ).
fof(f61,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f47]) ).
fof(f62,definition,
sF1 = s(e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f63,plain,
s(e) = sF1,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF2 = u(e,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f65,plain,
u(e,sF1) = sF2,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF3 = s(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
s(sF2) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
u(sF3,sF4) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = u(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
u(sF2,sF5) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = p(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
p(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
u(sF2,sF3) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = p(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
p(sF8) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = m(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
m(sF7,sF9) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = s(sF8),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
s(sF8) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = u(sF8,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
u(sF8,sF11) = sF12,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF13 = p(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
p(sF12) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = s(sF12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
s(sF12) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = u(sF12,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
u(sF12,sF14) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = m(sF13,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
m(sF13,sF15) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = m(sF16,sF4),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
m(sF16,sF4) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = u(sF10,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
u(sF10,sF17) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = p(sF3),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
p(sF3) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF20 = s(sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f101,plain,
s(sF19) = sF20,
inference(reorient_equations,[],[f100]) ).
fof(f102,definition,
sF21 = s(sF5),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f103,plain,
s(sF5) = sF21,
inference(reorient_equations,[],[f102]) ).
fof(f104,definition,
sF22 = u(sF20,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f105,plain,
u(sF20,sF21) = sF22,
inference(reorient_equations,[],[f104]) ).
fof(f106,definition,
sF23 = s(sF6),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f107,plain,
s(sF6) = sF23,
inference(reorient_equations,[],[f106]) ).
fof(f108,definition,
sF24 = u(sF22,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f109,plain,
u(sF22,sF23) = sF24,
inference(reorient_equations,[],[f108]) ).
fof(f110,definition,
sF25 = u(sF24,sF17),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f111,plain,
u(sF24,sF17) = sF25,
inference(reorient_equations,[],[f110]) ).
fof(f112,plain,
subq(sF18,sF25),
inference(definition_folding,[],[f60,f111,f95,f69,f67,f65,f63,f93,f91,f89,f85,f83,f77,f67,f65,f63,f65,f63,f77,f67,f65,f63,f65,f63,f85,f83,f77,f67,f65,f63,f65,f63,f77,f67,f65,f63,f65,f63,f87,f85,f83,f77,f67,f65,f63,f65,f63,f77,f67,f65,f63,f65,f63,f109,f107,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63,f105,f103,f71,f69,f67,f65,f63,f67,f65,f63,f101,f99,f67,f65,f63,f97,f95,f69,f67,f65,f63,f93,f91,f89,f85,f83,f77,f67,f65,f63,f65,f63,f77,f67,f65,f63,f65,f63,f85,f83,f77,f67,f65,f63,f65,f63,f77,f67,f65,f63,f65,f63,f87,f85,f83,f77,f67,f65,f63,f65,f63,f77,f67,f65,f63,f65,f63,f81,f79,f77,f67,f65,f63,f65,f63,f75,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63]) ).
fof(f115,plain,
mem(sF3,sF4),
inference(superposition,[],[f61,f69]) ).
fof(f116,plain,
mem(sF2,sF3),
inference(superposition,[],[f61,f67]) ).
fof(f117,plain,
! [X0] :
( ~ subq(X0,sF3)
| mem(X0,sF19) ),
inference(superposition,[],[f57,f99]) ).
fof(f121,plain,
mem(e,sF1),
inference(superposition,[],[f61,f63]) ).
fof(f122,plain,
! [X0] :
( ~ subq(X0,sF6)
| mem(X0,sF7) ),
inference(superposition,[],[f57,f75]) ).
fof(f125,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f49,f65]) ).
fof(f128,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF5) ),
inference(superposition,[],[f49,f71]) ).
fof(f131,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF8) ),
inference(superposition,[],[f50,f77]) ).
fof(f132,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF5) ),
inference(superposition,[],[f50,f71]) ).
fof(f145,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f48,f65]) ).
fof(f146,plain,
! [X0] :
( ~ mem(X0,sF8)
| mem(X0,sF3)
| mem(X0,sF2) ),
inference(superposition,[],[f48,f77]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF12)
| mem(X0,sF11)
| mem(X0,sF8) ),
inference(superposition,[],[f48,f85]) ).
fof(f151,plain,
! [X0] :
( ~ mem(X0,sF22)
| mem(X0,sF21)
| mem(X0,sF20) ),
inference(superposition,[],[f48,f105]) ).
fof(f152,plain,
! [X0] :
( ~ mem(X0,sF24)
| mem(X0,sF23)
| mem(X0,sF22) ),
inference(superposition,[],[f48,f109]) ).
fof(f153,plain,
! [X0] :
( ~ mem(X0,sF25)
| mem(X0,sF17)
| mem(X0,sF24) ),
inference(superposition,[],[f48,f111]) ).
fof(f154,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f145,f45]) ).
fof(f156,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF10)
| mem(X0,sF9) ),
inference(superposition,[],[f53,f81]) ).
fof(f158,plain,
mem(e,sF2),
inference(resolution,[],[f121,f125]) ).
fof(f160,plain,
! [X0] :
( ~ mem(X0,sF17)
| mem(X0,sF16) ),
inference(superposition,[],[f52,f95]) ).
fof(f162,plain,
! [X0] :
( ~ mem(X0,sF16)
| mem(X0,sF13) ),
inference(superposition,[],[f52,f93]) ).
fof(f164,plain,
! [X0] :
( ~ mem(X0,sF1)
| e = X0 ),
inference(superposition,[],[f46,f63]) ).
fof(f165,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f46,f67]) ).
fof(f166,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f46,f69]) ).
fof(f167,plain,
! [X0] :
( ~ mem(X0,sF21)
| sF5 = X0 ),
inference(superposition,[],[f46,f103]) ).
fof(f168,plain,
! [X0] :
( ~ mem(X0,sF23)
| sF6 = X0 ),
inference(superposition,[],[f46,f107]) ).
fof(f169,plain,
! [X0] :
( ~ mem(X0,sF11)
| sF8 = X0 ),
inference(superposition,[],[f46,f83]) ).
fof(f171,plain,
! [X0] :
( ~ mem(X0,sF20)
| sF19 = X0 ),
inference(superposition,[],[f46,f101]) ).
fof(f187,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF6) ),
inference(superposition,[],[f50,f73]) ).
fof(f188,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f49,f73]) ).
fof(f189,plain,
mem(sF3,sF5),
inference(resolution,[],[f115,f128]) ).
fof(f190,plain,
mem(sF2,sF5),
inference(resolution,[],[f116,f132]) ).
fof(f200,plain,
mem(e,sF6),
inference(resolution,[],[f158,f187]) ).
fof(f202,plain,
mem(e,sF8),
inference(resolution,[],[f158,f131]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ subq(u(X2,X3),X1)
| mem(X0,X1)
| ~ mem(X0,X2) ),
inference(resolution,[],[f41,f50]) ).
fof(f226,plain,
! [X0] :
( ~ subq(sF4,X0)
| mem(sF3,X0) ),
inference(resolution,[],[f41,f115]) ).
fof(f232,plain,
mem(sF3,sF6),
inference(resolution,[],[f189,f188]) ).
fof(f281,plain,
! [X0] :
( ~ mem(X0,sF9)
| subq(X0,sF8) ),
inference(superposition,[],[f56,f79]) ).
fof(f282,plain,
! [X0] :
( ~ mem(X0,sF13)
| subq(X0,sF12) ),
inference(superposition,[],[f56,f87]) ).
fof(f287,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f42,f45]) ).
fof(f296,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f42,f154]) ).
fof(f301,plain,
! [X0] :
( subq(sF4,X0)
| sF3 = sK0(sF4,X0) ),
inference(resolution,[],[f42,f166]) ).
fof(f340,plain,
mem(e,sF19),
inference(resolution,[],[f287,f117]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f43,f49]) ).
fof(f394,plain,
! [X0,X1] :
( ~ mem(X1,sF10)
| mem(X1,X0)
| ~ subq(sF18,X0) ),
inference(superposition,[],[f215,f97]) ).
fof(f404,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f368,f42]) ).
fof(f419,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f593,definition,
( spl26_20
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f595,plain,
( e = sF3
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f602,definition,
( spl26_22
<=> e = sF1 ),
introduced(definition,[new_symbols(definition,[spl26_22])],[avatar_definition]) ).
fof(f603,plain,
( e != sF1
| spl26_22 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f604,plain,
( e = sF1
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1075,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl26_20 ),
inference(superposition,[],[f45,f595]) ).
fof(f1097,plain,
( ! [X0] : ~ mem(X0,sF1)
| ~ spl26_22 ),
inference(superposition,[],[f45,f604]) ).
fof(f1121,plain,
( $false
| ~ spl26_22 ),
inference(resolution,[],[f1097,f121]) ).
fof(f1125,plain,
~ spl26_22,
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1160,plain,
subq(sF1,sF2),
inference(superposition,[],[f419,f65]) ).
fof(f1178,definition,
( spl26_25
<=> sF3 = sF8 ),
introduced(definition,[new_symbols(definition,[spl26_25])],[avatar_definition]) ).
fof(f1180,plain,
( sF3 = sF8
| ~ spl26_25 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1185,plain,
( sF1 = sF2
| ~ subq(sF2,sF1) ),
inference(resolution,[],[f1160,f44]) ).
fof(f1187,definition,
( spl26_26
<=> subq(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl26_26])],[avatar_definition]) ).
fof(f1189,plain,
( ~ subq(sF2,sF1)
| spl26_26 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1191,definition,
( spl26_27
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl26_27])],[avatar_definition]) ).
fof(f1193,plain,
( sF1 = sF2
| ~ spl26_27 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1194,plain,
( ~ spl26_26
| spl26_27 ),
inference(avatar_split_clause,[],[f1185,f1191,f1187]) ).
fof(f1485,definition,
( spl26_41
<=> sF4 = sF5 ),
introduced(definition,[new_symbols(definition,[spl26_41])],[avatar_definition]) ).
fof(f1486,plain,
( sF4 != sF5
| spl26_41 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1487,plain,
( sF4 = sF5
| ~ spl26_41 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1689,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f296,f43]) ).
fof(f1697,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f1689]) ).
fof(f1698,plain,
( $false
| spl26_26 ),
inference(forward_subsumption_resolution,[],[f1697,f1189]) ).
fof(f1699,plain,
spl26_26,
inference(avatar_contradiction_clause,[],[f1698]) ).
fof(f1703,plain,
( ! [X0] :
( ~ mem(X0,sF2)
| e = X0 )
| ~ spl26_27 ),
inference(superposition,[],[f164,f1193]) ).
fof(f1893,definition,
( spl26_79
<=> mem(e,sF4) ),
introduced(definition,[new_symbols(definition,[spl26_79])],[avatar_definition]) ).
fof(f1894,plain,
( mem(e,sF4)
| ~ spl26_79 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f1895,plain,
( ~ mem(e,sF4)
| spl26_79 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f1953,definition,
( spl26_91
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl26_91])],[avatar_definition]) ).
fof(f1954,plain,
( ~ mem(e,sF3)
| spl26_91 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f1955,plain,
( mem(e,sF3)
| ~ spl26_91 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f1973,definition,
( spl26_95
<=> e = sF2 ),
introduced(definition,[new_symbols(definition,[spl26_95])],[avatar_definition]) ).
fof(f1974,plain,
( e != sF2
| spl26_95 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f1975,plain,
( e = sF2
| ~ spl26_95 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f2202,plain,
( sF1 != sF2
| spl26_22
| ~ spl26_95 ),
inference(superposition,[],[f603,f1975]) ).
fof(f2207,plain,
( $false
| spl26_22
| ~ spl26_27
| ~ spl26_95 ),
inference(forward_subsumption_resolution,[],[f2202,f1193]) ).
fof(f2208,plain,
( spl26_22
| ~ spl26_27
| ~ spl26_95 ),
inference(avatar_contradiction_clause,[],[f2207]) ).
fof(f2284,definition,
( spl26_97
<=> sF2 = sF3 ),
introduced(definition,[new_symbols(definition,[spl26_97])],[avatar_definition]) ).
fof(f2285,plain,
( sF2 != sF3
| spl26_97 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f2286,plain,
( sF2 = sF3
| ~ spl26_97 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f2289,plain,
( e = sF2
| ~ spl26_91 ),
inference(resolution,[],[f1955,f165]) ).
fof(f2295,plain,
( $false
| ~ spl26_91
| spl26_95 ),
inference(forward_subsumption_resolution,[],[f2289,f1974]) ).
fof(f2296,plain,
( ~ spl26_91
| spl26_95 ),
inference(avatar_contradiction_clause,[],[f2295]) ).
fof(f2940,definition,
( spl26_132
<=> mem(sF3,sF2) ),
introduced(definition,[new_symbols(definition,[spl26_132])],[avatar_definition]) ).
fof(f2941,plain,
( ~ mem(sF3,sF2)
| spl26_132 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f2942,plain,
( mem(sF3,sF2)
| ~ spl26_132 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f2944,definition,
( spl26_133
<=> mem(sF3,sF3) ),
introduced(definition,[new_symbols(definition,[spl26_133])],[avatar_definition]) ).
fof(f2945,plain,
( ~ mem(sF3,sF3)
| spl26_133 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f2946,plain,
( mem(sF3,sF3)
| ~ spl26_133 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f2953,plain,
( sF2 = sF3
| ~ spl26_133 ),
inference(resolution,[],[f2946,f165]) ).
fof(f2957,plain,
( spl26_97
| ~ spl26_133 ),
inference(avatar_split_clause,[],[f2953,f2944,f2284]) ).
fof(f2958,plain,
( e = sF3
| ~ spl26_27
| ~ spl26_132 ),
inference(resolution,[],[f2942,f1703]) ).
fof(f2964,plain,
( spl26_20
| ~ spl26_27
| ~ spl26_132 ),
inference(avatar_split_clause,[],[f2958,f2940,f1191,f593]) ).
fof(f2974,plain,
( mem(e,sF3)
| ~ spl26_97 ),
inference(superposition,[],[f158,f2286]) ).
fof(f3014,plain,
( $false
| spl26_91
| ~ spl26_97 ),
inference(forward_subsumption_resolution,[],[f2974,f1954]) ).
fof(f3015,plain,
( spl26_91
| ~ spl26_97 ),
inference(avatar_contradiction_clause,[],[f3014]) ).
fof(f3139,definition,
( spl26_145
<=> mem(sF3,sF12) ),
introduced(definition,[new_symbols(definition,[spl26_145])],[avatar_definition]) ).
fof(f3140,plain,
( ~ mem(sF3,sF12)
| spl26_145 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f3141,plain,
( mem(sF3,sF12)
| ~ spl26_145 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f3337,definition,
( spl26_164
<=> mem(sF2,sF4) ),
introduced(definition,[new_symbols(definition,[spl26_164])],[avatar_definition]) ).
fof(f3338,plain,
( mem(sF2,sF4)
| ~ spl26_164 ),
inference(avatar_component_clause,[],[f3337]) ).
fof(f3339,plain,
( ~ mem(sF2,sF4)
| spl26_164 ),
inference(avatar_component_clause,[],[f3337]) ).
fof(f3654,plain,
( sF3 = sK0(sF4,sF6)
| mem(sF4,sF7) ),
inference(resolution,[],[f301,f122]) ).
fof(f3673,definition,
( spl26_196
<=> mem(sF4,sF13) ),
introduced(definition,[new_symbols(definition,[spl26_196])],[avatar_definition]) ).
fof(f3674,plain,
( ~ mem(sF4,sF13)
| spl26_196 ),
inference(avatar_component_clause,[],[f3673]) ).
fof(f3675,plain,
( mem(sF4,sF13)
| ~ spl26_196 ),
inference(avatar_component_clause,[],[f3673]) ).
fof(f3682,definition,
( spl26_198
<=> mem(sF4,sF9) ),
introduced(definition,[new_symbols(definition,[spl26_198])],[avatar_definition]) ).
fof(f3683,plain,
( ~ mem(sF4,sF9)
| spl26_198 ),
inference(avatar_component_clause,[],[f3682]) ).
fof(f3684,plain,
( mem(sF4,sF9)
| ~ spl26_198 ),
inference(avatar_component_clause,[],[f3682]) ).
fof(f3691,definition,
( spl26_200
<=> mem(sF4,sF7) ),
introduced(definition,[new_symbols(definition,[spl26_200])],[avatar_definition]) ).
fof(f3692,plain,
( ~ mem(sF4,sF7)
| spl26_200 ),
inference(avatar_component_clause,[],[f3691]) ).
fof(f3693,plain,
( mem(sF4,sF7)
| ~ spl26_200 ),
inference(avatar_component_clause,[],[f3691]) ).
fof(f3695,definition,
( spl26_201
<=> sF3 = sK0(sF4,sF6) ),
introduced(definition,[new_symbols(definition,[spl26_201])],[avatar_definition]) ).
fof(f3697,plain,
( sF3 = sK0(sF4,sF6)
| ~ spl26_201 ),
inference(avatar_component_clause,[],[f3695]) ).
fof(f3698,plain,
( spl26_200
| spl26_201 ),
inference(avatar_split_clause,[],[f3654,f3695,f3691]) ).
fof(f3702,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl26_200 ),
inference(resolution,[],[f3693,f156]) ).
fof(f3704,plain,
( subq(sF4,sF8)
| ~ spl26_198 ),
inference(resolution,[],[f3684,f281]) ).
fof(f3707,plain,
( subq(sF4,sF12)
| ~ spl26_196 ),
inference(resolution,[],[f3675,f282]) ).
fof(f3715,definition,
( spl26_203
<=> mem(sF4,sF16) ),
introduced(definition,[new_symbols(definition,[spl26_203])],[avatar_definition]) ).
fof(f3717,plain,
( mem(sF4,sF16)
| ~ spl26_203 ),
inference(avatar_component_clause,[],[f3715]) ).
fof(f3724,plain,
( mem(sF3,sF8)
| ~ spl26_198 ),
inference(resolution,[],[f3704,f226]) ).
fof(f3737,plain,
( mem(sF3,sF3)
| mem(sF3,sF2)
| ~ spl26_198 ),
inference(resolution,[],[f3724,f146]) ).
fof(f3739,plain,
( mem(sF3,sF2)
| spl26_133
| ~ spl26_198 ),
inference(forward_subsumption_resolution,[],[f3737,f2945]) ).
fof(f3741,plain,
( $false
| spl26_132
| spl26_133
| ~ spl26_198 ),
inference(forward_subsumption_resolution,[],[f3739,f2941]) ).
fof(f3742,plain,
( spl26_132
| spl26_133
| ~ spl26_198 ),
inference(avatar_contradiction_clause,[],[f3741]) ).
fof(f3743,plain,
( mem(sF4,sF10)
| spl26_198
| ~ spl26_200 ),
inference(forward_subsumption_resolution,[],[f3702,f3683]) ).
fof(f3745,plain,
( ! [X0] :
( ~ subq(sF18,X0)
| mem(sF4,X0) )
| spl26_198
| ~ spl26_200 ),
inference(resolution,[],[f3743,f394]) ).
fof(f3753,plain,
( mem(sF4,sF25)
| spl26_198
| ~ spl26_200 ),
inference(resolution,[],[f3745,f112]) ).
fof(f3759,plain,
( mem(sF4,sF17)
| mem(sF4,sF24)
| spl26_198
| ~ spl26_200 ),
inference(resolution,[],[f3753,f153]) ).
fof(f3762,definition,
( spl26_207
<=> mem(sF4,sF24) ),
introduced(definition,[new_symbols(definition,[spl26_207])],[avatar_definition]) ).
fof(f3764,plain,
( mem(sF4,sF24)
| ~ spl26_207 ),
inference(avatar_component_clause,[],[f3762]) ).
fof(f3766,definition,
( spl26_208
<=> mem(sF4,sF17) ),
introduced(definition,[new_symbols(definition,[spl26_208])],[avatar_definition]) ).
fof(f3768,plain,
( mem(sF4,sF17)
| ~ spl26_208 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f3769,plain,
( spl26_207
| spl26_208
| spl26_198
| ~ spl26_200 ),
inference(avatar_split_clause,[],[f3759,f3691,f3682,f3766,f3762]) ).
fof(f3772,plain,
( mem(sF4,sF23)
| mem(sF4,sF22)
| ~ spl26_207 ),
inference(resolution,[],[f3764,f152]) ).
fof(f3775,definition,
( spl26_209
<=> mem(sF4,sF22) ),
introduced(definition,[new_symbols(definition,[spl26_209])],[avatar_definition]) ).
fof(f3777,plain,
( mem(sF4,sF22)
| ~ spl26_209 ),
inference(avatar_component_clause,[],[f3775]) ).
fof(f3779,definition,
( spl26_210
<=> mem(sF4,sF23) ),
introduced(definition,[new_symbols(definition,[spl26_210])],[avatar_definition]) ).
fof(f3781,plain,
( mem(sF4,sF23)
| ~ spl26_210 ),
inference(avatar_component_clause,[],[f3779]) ).
fof(f3782,plain,
( spl26_209
| spl26_210
| ~ spl26_207 ),
inference(avatar_split_clause,[],[f3772,f3762,f3779,f3775]) ).
fof(f3783,plain,
( mem(sF4,sF21)
| mem(sF4,sF20)
| ~ spl26_209 ),
inference(resolution,[],[f3777,f151]) ).
fof(f3787,definition,
( spl26_211
<=> mem(sF4,sF20) ),
introduced(definition,[new_symbols(definition,[spl26_211])],[avatar_definition]) ).
fof(f3789,plain,
( mem(sF4,sF20)
| ~ spl26_211 ),
inference(avatar_component_clause,[],[f3787]) ).
fof(f3791,definition,
( spl26_212
<=> mem(sF4,sF21) ),
introduced(definition,[new_symbols(definition,[spl26_212])],[avatar_definition]) ).
fof(f3793,plain,
( mem(sF4,sF21)
| ~ spl26_212 ),
inference(avatar_component_clause,[],[f3791]) ).
fof(f3794,plain,
( spl26_211
| spl26_212
| ~ spl26_209 ),
inference(avatar_split_clause,[],[f3783,f3775,f3791,f3787]) ).
fof(f3795,plain,
( sF4 = sF6
| ~ spl26_210 ),
inference(resolution,[],[f3781,f168]) ).
fof(f3824,plain,
( sF4 = sF19
| ~ spl26_211 ),
inference(resolution,[],[f3789,f171]) ).
fof(f3833,plain,
( mem(e,sF4)
| ~ spl26_211 ),
inference(superposition,[],[f340,f3824]) ).
fof(f3839,plain,
( $false
| spl26_79
| ~ spl26_211 ),
inference(forward_subsumption_resolution,[],[f3833,f1895]) ).
fof(f3840,plain,
( spl26_79
| ~ spl26_211 ),
inference(avatar_contradiction_clause,[],[f3839]) ).
fof(f3854,definition,
( spl26_214
<=> mem(sF3,sF8) ),
introduced(definition,[new_symbols(definition,[spl26_214])],[avatar_definition]) ).
fof(f3855,plain,
( mem(sF3,sF8)
| ~ spl26_214 ),
inference(avatar_component_clause,[],[f3854]) ).
fof(f3856,plain,
( ~ mem(sF3,sF8)
| spl26_214 ),
inference(avatar_component_clause,[],[f3854]) ).
fof(f3864,definition,
( spl26_215
<=> subq(sF4,sF12) ),
introduced(definition,[new_symbols(definition,[spl26_215])],[avatar_definition]) ).
fof(f3866,plain,
( subq(sF4,sF12)
| ~ spl26_215 ),
inference(avatar_component_clause,[],[f3864]) ).
fof(f3871,plain,
( ~ mem(sF3,sF6)
| subq(sF4,sF6)
| ~ spl26_201 ),
inference(superposition,[],[f43,f3697]) ).
fof(f3873,plain,
( subq(sF4,sF6)
| ~ spl26_201 ),
inference(forward_subsumption_resolution,[],[f3871,f232]) ).
fof(f3875,plain,
( mem(sF4,sF7)
| ~ spl26_201 ),
inference(resolution,[],[f3873,f122]) ).
fof(f3882,definition,
( spl26_217
<=> sF4 = sF6 ),
introduced(definition,[new_symbols(definition,[spl26_217])],[avatar_definition]) ).
fof(f3884,plain,
( sF4 = sF6
| ~ spl26_217 ),
inference(avatar_component_clause,[],[f3882]) ).
fof(f3886,plain,
( $false
| spl26_200
| ~ spl26_201 ),
inference(forward_subsumption_resolution,[],[f3875,f3692]) ).
fof(f3887,plain,
( spl26_200
| ~ spl26_201 ),
inference(avatar_contradiction_clause,[],[f3886]) ).
fof(f3888,plain,
( spl26_217
| ~ spl26_210 ),
inference(avatar_split_clause,[],[f3795,f3779,f3882]) ).
fof(f3895,plain,
( mem(e,sF4)
| ~ spl26_217 ),
inference(superposition,[],[f200,f3884]) ).
fof(f3910,plain,
( e = sF3
| ~ spl26_79 ),
inference(resolution,[],[f1894,f166]) ).
fof(f3915,plain,
( spl26_20
| ~ spl26_79 ),
inference(avatar_split_clause,[],[f3910,f1893,f593]) ).
fof(f3920,plain,
( $false
| spl26_79
| ~ spl26_217 ),
inference(forward_subsumption_resolution,[],[f3895,f1895]) ).
fof(f3921,plain,
( spl26_79
| ~ spl26_217 ),
inference(avatar_contradiction_clause,[],[f3920]) ).
fof(f3926,plain,
( mem(sF4,sF16)
| ~ spl26_208 ),
inference(resolution,[],[f3768,f160]) ).
fof(f3929,plain,
( spl26_203
| ~ spl26_208 ),
inference(avatar_split_clause,[],[f3926,f3766,f3715]) ).
fof(f3939,plain,
( mem(sF4,sF13)
| ~ spl26_203 ),
inference(resolution,[],[f3717,f162]) ).
fof(f3942,plain,
( $false
| spl26_196
| ~ spl26_203 ),
inference(forward_subsumption_resolution,[],[f3939,f3674]) ).
fof(f3943,plain,
( spl26_196
| ~ spl26_203 ),
inference(avatar_contradiction_clause,[],[f3942]) ).
fof(f3945,plain,
( spl26_215
| ~ spl26_196 ),
inference(avatar_split_clause,[],[f3707,f3673,f3864]) ).
fof(f4002,plain,
( mem(sF3,sF12)
| ~ spl26_215 ),
inference(resolution,[],[f3866,f226]) ).
fof(f4014,plain,
( $false
| spl26_145
| ~ spl26_215 ),
inference(forward_subsumption_resolution,[],[f4002,f3140]) ).
fof(f4015,plain,
( spl26_145
| ~ spl26_215 ),
inference(avatar_contradiction_clause,[],[f4014]) ).
fof(f4016,plain,
( mem(sF3,sF11)
| mem(sF3,sF8)
| ~ spl26_145 ),
inference(resolution,[],[f3141,f148]) ).
fof(f4021,plain,
( mem(sF3,sF11)
| ~ spl26_145
| spl26_214 ),
inference(forward_subsumption_resolution,[],[f4016,f3856]) ).
fof(f4024,plain,
( sF4 = sF5
| ~ spl26_212 ),
inference(resolution,[],[f3793,f167]) ).
fof(f4027,plain,
( $false
| spl26_41
| ~ spl26_212 ),
inference(forward_subsumption_resolution,[],[f4024,f1486]) ).
fof(f4028,plain,
( spl26_41
| ~ spl26_212 ),
inference(avatar_contradiction_clause,[],[f4027]) ).
fof(f4042,plain,
( mem(sF2,sF4)
| ~ spl26_41 ),
inference(superposition,[],[f190,f1487]) ).
fof(f4069,plain,
( sF2 = sF3
| ~ spl26_164 ),
inference(resolution,[],[f3338,f166]) ).
fof(f4072,plain,
( $false
| spl26_97
| ~ spl26_164 ),
inference(forward_subsumption_resolution,[],[f4069,f2285]) ).
fof(f4073,plain,
( spl26_97
| ~ spl26_164 ),
inference(avatar_contradiction_clause,[],[f4072]) ).
fof(f4076,plain,
( $false
| ~ spl26_41
| spl26_164 ),
inference(forward_subsumption_resolution,[],[f4042,f3339]) ).
fof(f4077,plain,
( ~ spl26_41
| spl26_164 ),
inference(avatar_contradiction_clause,[],[f4076]) ).
fof(f4085,plain,
( sF3 = sF8
| ~ spl26_145
| spl26_214 ),
inference(resolution,[],[f4021,f169]) ).
fof(f4088,plain,
( spl26_25
| ~ spl26_145
| spl26_214 ),
inference(avatar_split_clause,[],[f4085,f3854,f3139,f1178]) ).
fof(f4115,plain,
( mem(e,sF3)
| ~ spl26_25 ),
inference(superposition,[],[f202,f1180]) ).
fof(f4126,plain,
( $false
| ~ spl26_25
| spl26_91 ),
inference(forward_subsumption_resolution,[],[f4115,f1954]) ).
fof(f4127,plain,
( ~ spl26_25
| spl26_91 ),
inference(avatar_contradiction_clause,[],[f4126]) ).
fof(f4131,plain,
( mem(sF3,sF3)
| mem(sF3,sF2)
| ~ spl26_214 ),
inference(resolution,[],[f3855,f146]) ).
fof(f4133,plain,
( mem(sF3,sF2)
| spl26_133
| ~ spl26_214 ),
inference(forward_subsumption_resolution,[],[f4131,f2945]) ).
fof(f4134,plain,
( $false
| spl26_132
| spl26_133
| ~ spl26_214 ),
inference(forward_subsumption_resolution,[],[f4133,f2941]) ).
fof(f4135,plain,
( spl26_132
| spl26_133
| ~ spl26_214 ),
inference(avatar_contradiction_clause,[],[f4134]) ).
fof(f4280,plain,
( $false
| ~ spl26_20 ),
inference(resolution,[],[f1075,f116]) ).
fof(f4282,plain,
~ spl26_20,
inference(avatar_contradiction_clause,[],[f4280]) ).
cnf(s21,plain,
~ spl26_22,
inference(sat_conversion,[],[f1125]) ).
cnf(s23,plain,
( ~ spl26_26
| spl26_27 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s48,plain,
spl26_26,
inference(sat_conversion,[],[f1699]) ).
cnf(s88,plain,
( spl26_22
| ~ spl26_27
| ~ spl26_95 ),
inference(sat_conversion,[],[f2208]) ).
cnf(s107,plain,
( ~ spl26_91
| spl26_95 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s133,plain,
( spl26_97
| ~ spl26_133 ),
inference(sat_conversion,[],[f2957]) ).
cnf(s134,plain,
( spl26_20
| ~ spl26_27
| ~ spl26_132 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s137,plain,
( spl26_91
| ~ spl26_97 ),
inference(sat_conversion,[],[f3015]) ).
cnf(s211,plain,
( spl26_200
| spl26_201 ),
inference(sat_conversion,[],[f3698]) ).
cnf(s216,plain,
( spl26_132
| spl26_133
| ~ spl26_198 ),
inference(sat_conversion,[],[f3742]) ).
cnf(s217,plain,
( spl26_198
| ~ spl26_200
| spl26_207
| spl26_208 ),
inference(sat_conversion,[],[f3769]) ).
cnf(s218,plain,
( ~ spl26_207
| spl26_209
| spl26_210 ),
inference(sat_conversion,[],[f3782]) ).
cnf(s219,plain,
( ~ spl26_209
| spl26_211
| spl26_212 ),
inference(sat_conversion,[],[f3794]) ).
cnf(s226,plain,
( spl26_79
| ~ spl26_211 ),
inference(sat_conversion,[],[f3840]) ).
cnf(s230,plain,
( spl26_200
| ~ spl26_201 ),
inference(sat_conversion,[],[f3887]) ).
cnf(s231,plain,
( ~ spl26_210
| spl26_217 ),
inference(sat_conversion,[],[f3888]) ).
cnf(s233,plain,
( spl26_20
| ~ spl26_79 ),
inference(sat_conversion,[],[f3915]) ).
cnf(s236,plain,
( spl26_79
| ~ spl26_217 ),
inference(sat_conversion,[],[f3921]) ).
cnf(s237,plain,
( spl26_203
| ~ spl26_208 ),
inference(sat_conversion,[],[f3929]) ).
cnf(s239,plain,
( spl26_196
| ~ spl26_203 ),
inference(sat_conversion,[],[f3943]) ).
cnf(s241,plain,
( ~ spl26_196
| spl26_215 ),
inference(sat_conversion,[],[f3945]) ).
cnf(s246,plain,
( spl26_145
| ~ spl26_215 ),
inference(sat_conversion,[],[f4015]) ).
cnf(s249,plain,
( spl26_41
| ~ spl26_212 ),
inference(sat_conversion,[],[f4028]) ).
cnf(s250,plain,
( spl26_97
| ~ spl26_164 ),
inference(sat_conversion,[],[f4073]) ).
cnf(s252,plain,
( ~ spl26_41
| spl26_164 ),
inference(sat_conversion,[],[f4077]) ).
cnf(s255,plain,
( spl26_25
| ~ spl26_145
| spl26_214 ),
inference(sat_conversion,[],[f4088]) ).
cnf(s256,plain,
( ~ spl26_25
| spl26_91 ),
inference(sat_conversion,[],[f4127]) ).
cnf(s257,plain,
( spl26_132
| spl26_133
| ~ spl26_214 ),
inference(sat_conversion,[],[f4135]) ).
cnf(s266,plain,
~ spl26_20,
inference(sat_conversion,[],[f4282]) ).
cnf(s267,plain,
~ spl26_79,
inference(rat,[],[s233,s266]) ).
cnf(s268,plain,
~ spl26_217,
inference(rat,[],[s236,s267]) ).
cnf(s269,plain,
~ spl26_210,
inference(rat,[],[s231,s268]) ).
cnf(s271,plain,
~ spl26_211,
inference(rat,[],[s226,s267]) ).
cnf(s272,plain,
( ~ spl26_209
| spl26_212 ),
inference(rat,[],[s219,s271]) ).
cnf(s273,plain,
( ~ spl26_207
| spl26_209 ),
inference(rat,[],[s218,s269]) ).
cnf(s274,plain,
( ~ spl26_27
| ~ spl26_132 ),
inference(rat,[],[s134,s266]) ).
cnf(s284,plain,
spl26_27,
inference(rat,[],[s23,s48]) ).
cnf(s285,plain,
~ spl26_132,
inference(rat,[],[s274,s284]) ).
cnf(s290,plain,
~ spl26_95,
inference(rat,[],[s88,s284,s21]) ).
cnf(s291,plain,
~ spl26_91,
inference(rat,[],[s107,s290]) ).
cnf(s293,plain,
~ spl26_25,
inference(rat,[],[s256,s291]) ).
cnf(s295,plain,
~ spl26_97,
inference(rat,[],[s137,s291]) ).
cnf(s301,plain,
~ spl26_164,
inference(rat,[],[s250,s295]) ).
cnf(s302,plain,
~ spl26_133,
inference(rat,[],[s133,s295]) ).
cnf(s303,plain,
~ spl26_41,
inference(rat,[],[s252,s301]) ).
cnf(s304,plain,
~ spl26_214,
inference(rat,[],[s257,s285,s302]) ).
cnf(s305,plain,
~ spl26_198,
inference(rat,[],[s216,s285,s302]) ).
cnf(s307,plain,
~ spl26_212,
inference(rat,[],[s249,s303]) ).
cnf(s309,plain,
~ spl26_145,
inference(rat,[],[s255,s293,s304]) ).
cnf(s313,plain,
~ spl26_209,
inference(rat,[],[s272,s307]) ).
cnf(s314,plain,
~ spl26_215,
inference(rat,[],[s246,s309]) ).
cnf(s316,plain,
~ spl26_207,
inference(rat,[],[s273,s313]) ).
cnf(s317,plain,
~ spl26_196,
inference(rat,[],[s241,s314]) ).
cnf(s318,plain,
~ spl26_203,
inference(rat,[],[s239,s317]) ).
cnf(s320,plain,
~ spl26_208,
inference(rat,[],[s237,s318]) ).
cnf(s321,plain,
~ spl26_200,
inference(rat,[],[s217,s316,s305,s320]) ).
cnf(s322,plain,
~ spl26_201,
inference(rat,[],[s230,s321]) ).
cnf(s323,plain,
$false,
inference(rat,[],[s211,s322,s321]) ).
fof(f4283,plain,
$false,
inference(avatar_sat_refutation,[],[s323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV564+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 06:36:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.32/2.16 % (4190577)Detected formulas, will run a generic FOF schedule.
% 9.32/2.16 % (4190588)dis-21_1_sil=8000:lcm=predicate:random_seed=3005114941: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)
% 9.32/2.16 % (4190588)Instruction limit reached!
% 9.32/2.16 % (4190588)------------------------------
% 9.32/2.16 % (4190588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.16 % (4190588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.16 % (4190588)CaDiCaL version: 2.1.3
% 9.32/2.16 % (4190588)Termination reason: Instruction limit
% 9.32/2.16 % (4190588)Termination phase: Saturation
% 9.32/2.16 % (4190588)Time elapsed: 0.037 s
% 9.32/2.16 % (4190588)Peak memory usage: 88 MB
% 9.32/2.16 % (4190588)Instructions burned: 131 (million)
% 9.32/2.16 % (4190587)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2311097650:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.32/2.16 % (4190583)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=3694912125:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.32/2.16 % (4190582)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=1533027075:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.32/2.16 % (4190586)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1572640110:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.32/2.16 % (4190584)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=3272866264:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.32/2.16 % (4190585)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1352303997:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.32/2.16 % (4190585)Refutation not found, incomplete strategy
% 9.32/2.16 % (4190585)------------------------------
% 9.32/2.16 % (4190585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.16 % (4190585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.16 % (4190585)CaDiCaL version: 2.1.3
% 9.32/2.16 % (4190585)Termination reason: Refutation not found, incomplete strategy
% 9.32/2.16 % (4190585)Time elapsed: 0.001 s
% 9.32/2.16 % (4190585)Peak memory usage: 88 MB
% 9.32/2.16 % (4190585)Instructions burned: 1 (million)
% 9.32/2.16 % (4190586)Instruction limit reached!
% 9.32/2.16 % (4190586)------------------------------
% 9.32/2.16 % (4190586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.16 % (4190586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.16 % (4190586)CaDiCaL version: 2.1.3
% 9.32/2.16 % (4190586)Termination reason: Instruction limit
% 9.32/2.16 % (4190586)Termination phase: Saturation
% 9.32/2.16 % (4190586)Time elapsed: 0.072 s
% 9.32/2.16 % (4190586)Peak memory usage: 89 MB
% 9.32/2.16 % (4190586)Instructions burned: 119 (million)
% 9.32/2.16 % (4190596)lrs+10_1_sil=8000:sp=occurrence:random_seed=3805356907:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.32/2.16 % (4190587)Instruction limit reached!
% 9.32/2.16 % (4190587)------------------------------
% 9.32/2.16 % (4190587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.16 % (4190587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.16 % (4190587)CaDiCaL version: 2.1.3
% 9.32/2.16 % (4190587)Termination reason: Instruction limit
% 9.32/2.16 % (4190587)Termination phase: Saturation
% 9.32/2.16 % (4190587)Time elapsed: 0.096 s
% 9.32/2.16 % (4190587)Peak memory usage: 89 MB
% 9.32/2.16 % (4190587)Instructions burned: 140 (million)
% 9.32/2.16 % (4190596)Instruction limit reached!
% 9.32/2.16 % (4190596)------------------------------
% 9.32/2.16 % (4190596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.32/2.16 % (4190596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.32/2.16 % (4190596)CaDiCaL version: 2.1.3
% 9.32/2.16 % (4190596)Termination reason: Instruction limit
% 9.32/2.16 % (4190596)Termination phase: Saturation
% 9.32/2.16 % (4190596)Time elapsed: 0.095 s
% 9.32/2.16 % (4190596)Peak memory usage: 92 MB
% 9.32/2.16 % (4190596)Instructions burned: 288 (million)
% 5.54/2.21 % (4190597)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4213442439:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.54/2.21 % (4190599)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4209764559:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.54/2.21 % (4190585)------------------------------
% 5.54/2.21 % (4190585)------------------------------
% 5.54/2.21 % (4190600)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=2537753426:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.54/2.21 % (4190597)Instruction limit reached!
% 5.54/2.21 % (4190597)------------------------------
% 5.54/2.21 % (4190597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190597)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190597)Termination reason: Instruction limit
% 5.54/2.21 % (4190597)Termination phase: Saturation
% 5.54/2.21 % (4190597)Time elapsed: 0.081 s
% 5.54/2.21 % (4190597)Peak memory usage: 90 MB
% 5.54/2.21 % (4190597)Instructions burned: 158 (million)
% 5.54/2.21 % (4190600)Instruction limit reached!
% 5.54/2.21 % (4190600)------------------------------
% 5.54/2.21 % (4190600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190600)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190600)Termination reason: Instruction limit
% 5.54/2.21 % (4190600)Termination phase: Saturation
% 5.54/2.21 % (4190600)Time elapsed: 0.074 s
% 5.54/2.21 % (4190600)Peak memory usage: 91 MB
% 5.54/2.21 % (4190600)Instructions burned: 252 (million)
% 5.54/2.21 % (4190603)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3087349933:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.54/2.21 % (4190603)Refutation not found, incomplete strategy
% 5.54/2.21 % (4190603)------------------------------
% 5.54/2.21 % (4190603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190603)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190603)Termination reason: Refutation not found, incomplete strategy
% 5.54/2.21 % (4190603)Time elapsed: 0.002 s
% 5.54/2.21 % (4190603)Peak memory usage: 89 MB
% 5.54/2.21 % (4190603)Instructions burned: 2 (million)
% 5.54/2.21 % (4190605)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=177253022:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.54/2.21 % (4190606)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2781322837:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.54/2.21 % (4190599)Instruction limit reached!
% 5.54/2.21 % (4190599)------------------------------
% 5.54/2.21 % (4190599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190599)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190599)Termination reason: Instruction limit
% 5.54/2.21 % (4190599)Termination phase: Saturation
% 5.54/2.21 % (4190599)Time elapsed: 0.207 s
% 5.54/2.21 % (4190599)Peak memory usage: 91 MB
% 5.54/2.21 % (4190599)Instructions burned: 326 (million)
% 5.54/2.21 % (4190606)Instruction limit reached!
% 5.54/2.21 % (4190606)------------------------------
% 5.54/2.21 % (4190606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190606)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190606)Termination reason: Instruction limit
% 5.54/2.21 % (4190606)Termination phase: Saturation
% 5.54/2.21 % (4190606)Time elapsed: 0.032 s
% 5.54/2.21 % (4190606)Peak memory usage: 88 MB
% 5.54/2.21 % (4190606)Instructions burned: 116 (million)
% 5.54/2.21 % (4190611)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=12533242:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.54/2.21 % (4190611)Instruction limit reached!
% 5.54/2.21 % (4190611)------------------------------
% 5.54/2.21 % (4190611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190611)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190611)Termination reason: Instruction limit
% 5.54/2.21 % (4190611)Termination phase: Saturation
% 5.54/2.21 % (4190611)Time elapsed: 0.028 s
% 5.54/2.21 % (4190611)Peak memory usage: 88 MB
% 5.54/2.21 % (4190611)Instructions burned: 117 (million)
% 5.54/2.21 % (4190610)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1593167096:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.54/2.21 % (4190603)------------------------------
% 5.54/2.21 % (4190603)------------------------------
% 5.54/2.21 % (4190610)Instruction limit reached!
% 5.54/2.21 % (4190610)------------------------------
% 5.54/2.21 % (4190610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190610)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190610)Termination reason: Instruction limit
% 5.54/2.21 % (4190610)Termination phase: Saturation
% 5.54/2.21 % (4190610)Time elapsed: 0.059 s
% 5.54/2.21 % (4190610)Peak memory usage: 88 MB
% 5.54/2.21 % (4190610)Instructions burned: 129 (million)
% 5.54/2.21 % (4190614)lrs+10_1_sil=8000:sp=occurrence:random_seed=753674842:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.54/2.21 % (4190616)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4177030224:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.54/2.21 % (4190615)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3208577568:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.54/2.21 % (4190615)Refutation not found, incomplete strategy
% 5.54/2.21 % (4190615)------------------------------
% 5.54/2.21 % (4190615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190615)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190615)Termination reason: Refutation not found, incomplete strategy
% 5.54/2.21 % (4190615)Time elapsed: 0.001 s
% 5.54/2.21 % (4190615)Peak memory usage: 88 MB
% 5.54/2.21 % (4190615)Instructions burned: 1 (million)
% 5.54/2.21 % (4190582)First to succeed.
% 5.54/2.21 % (4190614)Instruction limit reached!
% 5.54/2.21 % (4190614)------------------------------
% 5.54/2.21 % (4190614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190614)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190614)Termination reason: Instruction limit
% 5.54/2.21 % (4190614)Termination phase: Saturation
% 5.54/2.21 % (4190614)Time elapsed: 0.287 s
% 5.54/2.21 % (4190614)Peak memory usage: 97 MB
% 5.54/2.21 % (4190614)Instructions burned: 908 (million)
% 5.54/2.21 % (4190582)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4190577"
% 5.54/2.21 % (4190615)------------------------------
% 5.54/2.21 % (4190615)------------------------------
% 5.54/2.21 % (4190620)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4117574899:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 5.54/2.21 % (4190620)Instruction limit reached!
% 5.54/2.21 % (4190620)------------------------------
% 5.54/2.21 % (4190620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190620)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190620)Termination reason: Instruction limit
% 5.54/2.21 % (4190620)Termination phase: Saturation
% 5.54/2.21 % (4190620)Time elapsed: 0.038 s
% 5.54/2.21 % (4190620)Peak memory usage: 90 MB
% 5.54/2.21 % (4190620)Instructions burned: 135 (million)
% 5.54/2.21 % (4190621)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=138268459:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 5.54/2.21 % (4190621)Refutation not found, incomplete strategy
% 5.54/2.21 % (4190621)------------------------------
% 5.54/2.21 % (4190621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.54/2.21 % (4190621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/2.21 % (4190621)CaDiCaL version: 2.1.3
% 5.54/2.21 % (4190621)Termination reason: Refutation not found, incomplete strategy
% 5.54/2.21 % (4190621)Time elapsed: 0.002 s
% 5.54/2.21 % (4190621)Peak memory usage: 88 MB
% 5.54/2.21 % (4190621)Instructions burned: 1 (million)
% 5.54/2.21 % (4190623)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=455570035:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 5.54/2.21 % (4190582)Refutation found. Thanks to Tanya!
% 5.54/2.21 % SZS status Theorem for theBenchmark
% 5.54/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/2.40 % (4190582)------------------------------
% 0.14/2.40 % (4190582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/2.40 % (4190582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/2.40 % (4190582)CaDiCaL version: 2.1.3
% 0.14/2.40 % (4190582)Termination reason: Refutation
% 0.14/2.40 % (4190582)Time elapsed: 0.960 s
% 0.14/2.40 % (4190582)Peak memory usage: 133 MB
% 0.14/2.40 % (4190582)Instructions burned: 1405 (million)
% 0.14/2.40 % (4190582)------------------------------
% 0.14/2.40 % (4190582)------------------------------
% 0.14/2.40 % (4190577)Success in time 1.366 s
% 0.14/2.40 % Vampire exiting
%------------------------------------------------------------------------------