%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV557+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 : n014.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 6.42s 1.89s
% Output : Refutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 54
% Syntax : Number of formulae : 336 ( 97 unt; 44 def)
% Number of atoms : 682 ( 114 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 599 ( 253 ~; 293 |; 21 &)
% ( 30 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 24 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 22 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 124 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f3,axiom,
! [X0,X1] :
( disj(X0,X1)
<=> ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f7,axiom,
! [X0,X1,X2] :
( mem(X0,m(X1,X2))
<=> ( mem(X0,X1)
& ~ mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f26,conjecture,
disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),n(n(n(n(e)))))),a(a(s(s(s(n(e)))),n(s(n(e)))),a(s(s(n(e))),n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_1924_4176) ).
fof(f27,negated_conjecture,
~ disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),n(n(n(n(e)))))),a(a(s(s(s(n(e)))),n(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)))),n(n(n(n(e)))))),a(a(s(s(s(n(e)))),n(s(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) )
=> disj(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f30,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( disj(X0,X1)
| ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f34,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f35,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( disj(X0,X1)
| ( mem(sK1(X0,X1),X0)
& mem(sK1(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f33]) ).
fof(f38,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f44,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(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(f63,plain,
~ disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),n(n(n(n(e)))))),a(a(s(s(s(n(e)))),n(s(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f60,f59]) ).
fof(f65,plain,
~ disj(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))))))),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)))))))))),u(u(s(s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f63,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f59,f59,f64,f64,f64,f59,f64,f64,f64]) ).
fof(f66,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f52]) ).
fof(f67,definition,
sF2 = s(e),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f68,plain,
s(e) = sF2,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF3 = u(e,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f70,plain,
u(e,sF2) = sF3,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f72,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF5 = 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 = u(sF11,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f92,plain,
u(sF11,sF13) = sF14,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF15 = m(sF12,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f94,plain,
m(sF12,sF14) = sF15,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF16 = u(sF8,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f96,plain,
u(sF8,sF15) = sF16,
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
sF17 = s(sF5),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f98,plain,
s(sF5) = sF17,
inference(reorient_equations,[],[f97]) ).
fof(f99,definition,
sF18 = s(sF6),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f100,plain,
s(sF6) = sF18,
inference(reorient_equations,[],[f99]) ).
fof(f101,definition,
sF19 = u(sF17,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f102,plain,
u(sF17,sF18) = sF19,
inference(reorient_equations,[],[f101]) ).
fof(f103,definition,
sF20 = u(sF5,sF10),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f104,plain,
u(sF5,sF10) = sF20,
inference(reorient_equations,[],[f103]) ).
fof(f105,definition,
sF21 = s(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f106,plain,
s(sF20) = sF21,
inference(reorient_equations,[],[f105]) ).
fof(f107,definition,
sF22 = u(sF19,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f108,plain,
u(sF19,sF21) = sF22,
inference(reorient_equations,[],[f107]) ).
fof(f109,plain,
~ disj(sF16,sF22),
inference(definition_folding,[],[f65,f108,f106,f104,f84,f82,f72,f70,f68,f70,f68,f74,f72,f70,f68,f102,f100,f76,f74,f72,f70,f68,f72,f70,f68,f98,f74,f72,f70,f68,f96,f94,f92,f90,f86,f84,f82,f72,f70,f68,f70,f68,f82,f72,f70,f68,f70,f68,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(f110,plain,
mem(e,sF2),
inference(superposition,[],[f66,f68]) ).
fof(f111,plain,
mem(sF3,sF4),
inference(superposition,[],[f66,f72]) ).
fof(f112,plain,
mem(sF4,sF5),
inference(superposition,[],[f66,f74]) ).
fof(f114,plain,
mem(sF6,sF18),
inference(superposition,[],[f66,f100]) ).
fof(f116,plain,
mem(sF9,sF10),
inference(superposition,[],[f66,f84]) ).
fof(f119,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF3) ),
inference(superposition,[],[f54,f70]) ).
fof(f120,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF9) ),
inference(superposition,[],[f54,f82]) ).
fof(f121,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f54,f76]) ).
fof(f132,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF9) ),
inference(superposition,[],[f55,f82]) ).
fof(f145,plain,
! [X0] :
( ~ mem(X0,sF12)
| subq(X0,sF11) ),
inference(superposition,[],[f61,f88]) ).
fof(f146,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF20) ),
inference(superposition,[],[f55,f104]) ).
fof(f147,plain,
! [X0] :
( ~ mem(X0,sF10)
| mem(X0,sF20) ),
inference(superposition,[],[f54,f104]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF7) ),
inference(superposition,[],[f55,f78]) ).
fof(f155,plain,
! [X0] :
( ~ mem(X0,sF2)
| e = X0 ),
inference(superposition,[],[f51,f68]) ).
fof(f156,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f51,f72]) ).
fof(f157,plain,
! [X0] :
( ~ mem(X0,sF5)
| sF4 = X0 ),
inference(superposition,[],[f51,f74]) ).
fof(f158,plain,
! [X0] :
( ~ mem(X0,sF17)
| sF5 = X0 ),
inference(superposition,[],[f51,f98]) ).
fof(f159,plain,
! [X0] :
( ~ mem(X0,sF18)
| sF6 = X0 ),
inference(superposition,[],[f51,f100]) ).
fof(f160,plain,
! [X0] :
( ~ mem(X0,sF8)
| sF7 = X0 ),
inference(superposition,[],[f51,f80]) ).
fof(f161,plain,
! [X0] :
( ~ mem(X0,sF10)
| sF9 = X0 ),
inference(superposition,[],[f51,f84]) ).
fof(f163,plain,
! [X0] :
( ~ mem(X0,sF21)
| sF20 = X0 ),
inference(superposition,[],[f51,f106]) ).
fof(f169,plain,
mem(e,sF3),
inference(resolution,[],[f119,f110]) ).
fof(f176,plain,
! [X0] :
( ~ mem(X0,sF15)
| mem(X0,sF12) ),
inference(superposition,[],[f57,f94]) ).
fof(f185,plain,
mem(sF3,sF9),
inference(resolution,[],[f111,f120]) ).
fof(f186,plain,
mem(sF4,sF6),
inference(resolution,[],[f112,f121]) ).
fof(f198,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2)
| mem(X0,e) ),
inference(superposition,[],[f53,f70]) ).
fof(f199,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF4)
| mem(X0,sF3) ),
inference(superposition,[],[f53,f82]) ).
fof(f200,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF6)
| mem(X0,sF3) ),
inference(superposition,[],[f53,f78]) ).
fof(f201,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF5)
| mem(X0,sF4) ),
inference(superposition,[],[f53,f76]) ).
fof(f203,plain,
! [X0] :
( ~ mem(X0,sF16)
| mem(X0,sF15)
| mem(X0,sF8) ),
inference(superposition,[],[f53,f96]) ).
fof(f204,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF10)
| mem(X0,sF9) ),
inference(superposition,[],[f53,f86]) ).
fof(f206,plain,
! [X0] :
( ~ mem(X0,sF19)
| mem(X0,sF18)
| mem(X0,sF17) ),
inference(superposition,[],[f53,f102]) ).
fof(f207,plain,
! [X0] :
( ~ mem(X0,sF22)
| mem(X0,sF21)
| mem(X0,sF19) ),
inference(superposition,[],[f53,f108]) ).
fof(f208,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f198,f50]) ).
fof(f209,plain,
mem(e,sF9),
inference(resolution,[],[f132,f169]) ).
fof(f252,plain,
! [X0] :
( mem(sK1(sF16,X0),sF15)
| mem(sK1(sF16,X0),sF8)
| disj(sF16,X0) ),
inference(resolution,[],[f203,f49]) ).
fof(f259,plain,
mem(sF9,sF20),
inference(resolution,[],[f147,f116]) ).
fof(f282,plain,
! [X0] :
( mem(sK1(X0,sF22),sF21)
| mem(sK1(X0,sF22),sF19)
| disj(X0,sF22) ),
inference(resolution,[],[f207,f48]) ).
fof(f329,plain,
mem(e,sF7),
inference(resolution,[],[f148,f169]) ).
fof(f339,plain,
mem(sF4,sF20),
inference(resolution,[],[f146,f112]) ).
fof(f392,plain,
! [X0] :
( ~ subq(sF5,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f44,f112]) ).
fof(f393,plain,
! [X0] :
( ~ subq(sF6,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f44,f186]) ).
fof(f395,plain,
! [X0] :
( ~ subq(sF20,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f44,f339]) ).
fof(f417,plain,
! [X0] :
( mem(sK1(sF16,X0),sF12)
| disj(sF16,X0)
| mem(sK1(sF16,X0),sF8) ),
inference(resolution,[],[f252,f176]) ).
fof(f611,plain,
! [X0] :
( mem(sK1(X0,sF22),sF19)
| disj(X0,sF22)
| sF20 = sK1(X0,sF22) ),
inference(resolution,[],[f282,f163]) ).
fof(f615,plain,
! [X0] :
( mem(sK1(X0,sF22),sF18)
| sF20 = sK1(X0,sF22)
| disj(X0,sF22)
| mem(sK1(X0,sF22),sF17) ),
inference(resolution,[],[f611,f206]) ).
fof(f618,plain,
! [X0] :
( mem(sK1(X0,sF22),sF17)
| disj(X0,sF22)
| sF20 = sK1(X0,sF22)
| sF6 = sK1(X0,sF22) ),
inference(resolution,[],[f615,f159]) ).
fof(f622,plain,
! [X0] :
( disj(X0,sF22)
| sF20 = sK1(X0,sF22)
| sF6 = sK1(X0,sF22)
| sF5 = sK1(X0,sF22) ),
inference(resolution,[],[f618,f158]) ).
fof(f625,plain,
( sF20 = sK1(sF16,sF22)
| sF6 = sK1(sF16,sF22)
| sF5 = sK1(sF16,sF22) ),
inference(resolution,[],[f622,f109]) ).
fof(f627,definition,
( spl23_26
<=> sF5 = sK1(sF16,sF22) ),
introduced(definition,[new_symbols(definition,[spl23_26])],[avatar_definition]) ).
fof(f629,plain,
( sF5 = sK1(sF16,sF22)
| ~ spl23_26 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f631,definition,
( spl23_27
<=> sF6 = sK1(sF16,sF22) ),
introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).
fof(f633,plain,
( sF6 = sK1(sF16,sF22)
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f635,definition,
( spl23_28
<=> sF20 = sK1(sF16,sF22) ),
introduced(definition,[new_symbols(definition,[spl23_28])],[avatar_definition]) ).
fof(f637,plain,
( sF20 = sK1(sF16,sF22)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f638,plain,
( spl23_26
| spl23_27
| spl23_28 ),
inference(avatar_split_clause,[],[f625,f635,f631,f627]) ).
fof(f639,plain,
( mem(sF5,sF12)
| disj(sF16,sF22)
| mem(sF5,sF8)
| ~ spl23_26 ),
inference(superposition,[],[f417,f629]) ).
fof(f651,plain,
( mem(sF5,sF12)
| mem(sF5,sF8)
| ~ spl23_26 ),
inference(forward_subsumption_resolution,[],[f639,f109]) ).
fof(f653,definition,
( spl23_29
<=> mem(sF5,sF8) ),
introduced(definition,[new_symbols(definition,[spl23_29])],[avatar_definition]) ).
fof(f655,plain,
( mem(sF5,sF8)
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f667,definition,
( spl23_32
<=> mem(sF5,sF12) ),
introduced(definition,[new_symbols(definition,[spl23_32])],[avatar_definition]) ).
fof(f669,plain,
( mem(sF5,sF12)
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f670,plain,
( spl23_29
| spl23_32
| ~ spl23_26 ),
inference(avatar_split_clause,[],[f651,f627,f667,f653]) ).
fof(f671,plain,
( mem(sF6,sF12)
| disj(sF16,sF22)
| mem(sF6,sF8)
| ~ spl23_27 ),
inference(superposition,[],[f417,f633]) ).
fof(f682,plain,
( mem(sF6,sF12)
| mem(sF6,sF8)
| ~ spl23_27 ),
inference(forward_subsumption_resolution,[],[f671,f109]) ).
fof(f684,definition,
( spl23_33
<=> mem(sF6,sF8) ),
introduced(definition,[new_symbols(definition,[spl23_33])],[avatar_definition]) ).
fof(f686,plain,
( mem(sF6,sF8)
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f698,definition,
( spl23_36
<=> mem(sF6,sF12) ),
introduced(definition,[new_symbols(definition,[spl23_36])],[avatar_definition]) ).
fof(f700,plain,
( mem(sF6,sF12)
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f701,plain,
( spl23_33
| spl23_36
| ~ spl23_27 ),
inference(avatar_split_clause,[],[f682,f631,f698,f684]) ).
fof(f702,plain,
( mem(sF20,sF12)
| disj(sF16,sF22)
| mem(sF20,sF8)
| ~ spl23_28 ),
inference(superposition,[],[f417,f637]) ).
fof(f711,plain,
( mem(sF20,sF12)
| mem(sF20,sF8)
| ~ spl23_28 ),
inference(forward_subsumption_resolution,[],[f702,f109]) ).
fof(f713,definition,
( spl23_37
<=> mem(sF20,sF8) ),
introduced(definition,[new_symbols(definition,[spl23_37])],[avatar_definition]) ).
fof(f715,plain,
( mem(sF20,sF8)
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f727,definition,
( spl23_40
<=> mem(sF20,sF12) ),
introduced(definition,[new_symbols(definition,[spl23_40])],[avatar_definition]) ).
fof(f729,plain,
( mem(sF20,sF12)
| ~ spl23_40 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f730,plain,
( spl23_37
| spl23_40
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f711,f635,f727,f713]) ).
fof(f743,plain,
( sF5 = sF7
| ~ spl23_29 ),
inference(resolution,[],[f655,f160]) ).
fof(f750,plain,
( mem(e,sF5)
| ~ spl23_29 ),
inference(superposition,[],[f329,f743]) ).
fof(f763,plain,
( e = sF4
| ~ spl23_29 ),
inference(resolution,[],[f750,f157]) ).
fof(f767,plain,
( ! [X0] : ~ mem(X0,sF4)
| ~ spl23_29 ),
inference(superposition,[],[f50,f763]) ).
fof(f768,plain,
( sF2 = s(sF4)
| ~ spl23_29 ),
inference(superposition,[],[f68,f763]) ).
fof(f780,plain,
( sF2 = sF5
| ~ spl23_29 ),
inference(forward_demodulation,[],[f768,f74]) ).
fof(f784,plain,
( sF3 = u(e,sF5)
| ~ spl23_29 ),
inference(superposition,[],[f70,f780]) ).
fof(f785,plain,
( sF3 = u(sF4,sF5)
| ~ spl23_29 ),
inference(forward_demodulation,[],[f784,f763]) ).
fof(f787,plain,
( sF3 = sF6
| ~ spl23_29 ),
inference(forward_demodulation,[],[f785,f76]) ).
fof(f789,plain,
( s(sF3) = sF18
| ~ spl23_29 ),
inference(superposition,[],[f100,f787]) ).
fof(f799,plain,
( sF4 = sF18
| ~ spl23_29 ),
inference(forward_demodulation,[],[f789,f72]) ).
fof(f802,plain,
( mem(sF6,sF4)
| ~ spl23_29 ),
inference(superposition,[],[f114,f799]) ).
fof(f811,plain,
( $false
| ~ spl23_29 ),
inference(forward_subsumption_resolution,[],[f802,f767]) ).
fof(f812,plain,
~ spl23_29,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f817,plain,
( subq(sF5,sF11)
| ~ spl23_32 ),
inference(resolution,[],[f669,f145]) ).
fof(f968,definition,
( spl23_56
<=> mem(e,sF5) ),
introduced(definition,[new_symbols(definition,[spl23_56])],[avatar_definition]) ).
fof(f969,plain,
( ~ mem(e,sF5)
| spl23_56 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f970,plain,
( mem(e,sF5)
| ~ spl23_56 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f1056,definition,
( spl23_75
<=> e = sF9 ),
introduced(definition,[new_symbols(definition,[spl23_75])],[avatar_definition]) ).
fof(f1057,plain,
( e != sF9
| spl23_75 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1058,plain,
( e = sF9
| ~ spl23_75 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1071,definition,
( spl23_78
<=> mem(e,sF4) ),
introduced(definition,[new_symbols(definition,[spl23_78])],[avatar_definition]) ).
fof(f1072,plain,
( ~ mem(e,sF4)
| spl23_78 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1073,plain,
( mem(e,sF4)
| ~ spl23_78 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1080,definition,
( spl23_80
<=> mem(e,sF6) ),
introduced(definition,[new_symbols(definition,[spl23_80])],[avatar_definition]) ).
fof(f1082,plain,
( mem(e,sF6)
| ~ spl23_80 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1089,definition,
( spl23_82
<=> e = sF4 ),
introduced(definition,[new_symbols(definition,[spl23_82])],[avatar_definition]) ).
fof(f1091,plain,
( e = sF4
| ~ spl23_82 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1100,definition,
( spl23_84
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl23_84])],[avatar_definition]) ).
fof(f1101,plain,
( e != sF3
| spl23_84 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1102,plain,
( e = sF3
| ~ spl23_84 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1143,plain,
( e = sF4
| ~ spl23_56 ),
inference(resolution,[],[f970,f157]) ).
fof(f1246,plain,
( spl23_82
| ~ spl23_56 ),
inference(avatar_split_clause,[],[f1143,f968,f1089]) ).
fof(f1256,plain,
( e = sF3
| ~ spl23_78 ),
inference(resolution,[],[f1073,f156]) ).
fof(f1261,plain,
( spl23_84
| ~ spl23_78 ),
inference(avatar_split_clause,[],[f1256,f1071,f1100]) ).
fof(f1865,plain,
( mem(sF4,sF11)
| ~ spl23_32 ),
inference(resolution,[],[f392,f817]) ).
fof(f1866,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl23_32 ),
inference(resolution,[],[f1865,f204]) ).
fof(f1870,definition,
( spl23_99
<=> mem(sF4,sF9) ),
introduced(definition,[new_symbols(definition,[spl23_99])],[avatar_definition]) ).
fof(f1872,plain,
( mem(sF4,sF9)
| ~ spl23_99 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f1874,definition,
( spl23_100
<=> mem(sF4,sF10) ),
introduced(definition,[new_symbols(definition,[spl23_100])],[avatar_definition]) ).
fof(f1876,plain,
( mem(sF4,sF10)
| ~ spl23_100 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f1877,plain,
( spl23_99
| spl23_100
| ~ spl23_32 ),
inference(avatar_split_clause,[],[f1866,f667,f1874,f1870]) ).
fof(f1888,plain,
( sF6 = sF7
| ~ spl23_33 ),
inference(resolution,[],[f686,f160]) ).
fof(f1896,plain,
( mem(e,sF6)
| ~ spl23_33 ),
inference(superposition,[],[f329,f1888]) ).
fof(f1902,plain,
( spl23_80
| ~ spl23_33 ),
inference(avatar_split_clause,[],[f1896,f684,f1080]) ).
fof(f1905,plain,
( subq(sF6,sF11)
| ~ spl23_36 ),
inference(resolution,[],[f700,f145]) ).
fof(f1914,plain,
( mem(sF4,sF11)
| ~ spl23_36 ),
inference(resolution,[],[f1905,f393]) ).
fof(f1926,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl23_36 ),
inference(resolution,[],[f1914,f204]) ).
fof(f1929,plain,
( spl23_99
| spl23_100
| ~ spl23_36 ),
inference(avatar_split_clause,[],[f1926,f698,f1874,f1870]) ).
fof(f1936,plain,
( sF7 = sF20
| ~ spl23_37 ),
inference(resolution,[],[f715,f160]) ).
fof(f1943,plain,
( mem(sF9,sF7)
| ~ spl23_37 ),
inference(superposition,[],[f259,f1936]) ).
fof(f1977,plain,
( mem(sF9,sF6)
| mem(sF9,sF3)
| ~ spl23_37 ),
inference(resolution,[],[f1943,f200]) ).
fof(f1980,definition,
( spl23_103
<=> mem(sF9,sF3) ),
introduced(definition,[new_symbols(definition,[spl23_103])],[avatar_definition]) ).
fof(f1982,plain,
( mem(sF9,sF3)
| ~ spl23_103 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1984,definition,
( spl23_104
<=> mem(sF9,sF6) ),
introduced(definition,[new_symbols(definition,[spl23_104])],[avatar_definition]) ).
fof(f1986,plain,
( mem(sF9,sF6)
| ~ spl23_104 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f1987,plain,
( spl23_103
| spl23_104
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f1977,f713,f1984,f1980]) ).
fof(f1988,plain,
( subq(sF20,sF11)
| ~ spl23_40 ),
inference(resolution,[],[f729,f145]) ).
fof(f1992,plain,
( mem(sF4,sF11)
| ~ spl23_40 ),
inference(resolution,[],[f1988,f395]) ).
fof(f2004,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl23_40 ),
inference(resolution,[],[f1992,f204]) ).
fof(f2007,plain,
( spl23_99
| spl23_100
| ~ spl23_40 ),
inference(avatar_split_clause,[],[f2004,f727,f1874,f1870]) ).
fof(f2068,plain,
( mem(sF4,sF4)
| mem(sF4,sF3)
| ~ spl23_99 ),
inference(resolution,[],[f1872,f199]) ).
fof(f2071,definition,
( spl23_107
<=> mem(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl23_107])],[avatar_definition]) ).
fof(f2072,plain,
( ~ mem(sF4,sF3)
| spl23_107 ),
inference(avatar_component_clause,[],[f2071]) ).
fof(f2073,plain,
( mem(sF4,sF3)
| ~ spl23_107 ),
inference(avatar_component_clause,[],[f2071]) ).
fof(f2075,definition,
( spl23_108
<=> mem(sF4,sF4) ),
introduced(definition,[new_symbols(definition,[spl23_108])],[avatar_definition]) ).
fof(f2077,plain,
( mem(sF4,sF4)
| ~ spl23_108 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f2078,plain,
( spl23_107
| spl23_108
| ~ spl23_99 ),
inference(avatar_split_clause,[],[f2068,f1870,f2075,f2071]) ).
fof(f2080,plain,
( mem(sF4,sF2)
| ~ spl23_107 ),
inference(resolution,[],[f2073,f208]) ).
fof(f2083,plain,
( e = sF4
| ~ spl23_107 ),
inference(resolution,[],[f2080,f155]) ).
fof(f2086,plain,
( spl23_82
| ~ spl23_107 ),
inference(avatar_split_clause,[],[f2083,f2071,f1089]) ).
fof(f2087,plain,
( ! [X0] : ~ mem(X0,sF4)
| ~ spl23_82 ),
inference(superposition,[],[f50,f1091]) ).
fof(f2088,plain,
( sF2 = s(sF4)
| ~ spl23_82 ),
inference(superposition,[],[f68,f1091]) ).
fof(f2116,plain,
( sF2 = sF5
| ~ spl23_82 ),
inference(forward_demodulation,[],[f2088,f74]) ).
fof(f2117,plain,
( sF3 = sF4
| ~ spl23_108 ),
inference(resolution,[],[f2077,f156]) ).
fof(f2121,plain,
( s(sF3) = sF5
| ~ spl23_108 ),
inference(superposition,[],[f74,f2117]) ).
fof(f2141,plain,
( sF4 = sF5
| ~ spl23_108 ),
inference(forward_demodulation,[],[f2121,f72]) ).
fof(f2142,plain,
( sF3 = sF5
| ~ spl23_108 ),
inference(forward_demodulation,[],[f2141,f2117]) ).
fof(f2147,plain,
( mem(sF4,sF3)
| ~ spl23_108 ),
inference(superposition,[],[f112,f2142]) ).
fof(f2170,plain,
( $false
| spl23_107
| ~ spl23_108 ),
inference(forward_subsumption_resolution,[],[f2147,f2072]) ).
fof(f2171,plain,
( spl23_107
| ~ spl23_108 ),
inference(avatar_contradiction_clause,[],[f2170]) ).
fof(f2185,plain,
( sF3 = u(e,sF5)
| ~ spl23_82 ),
inference(superposition,[],[f70,f2116]) ).
fof(f2210,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl23_84 ),
inference(superposition,[],[f50,f1102]) ).
fof(f2214,plain,
( mem(sF3,sF3)
| ~ spl23_84 ),
inference(superposition,[],[f169,f1102]) ).
fof(f2244,plain,
( mem(e,sF5)
| mem(e,sF4)
| ~ spl23_80 ),
inference(resolution,[],[f1082,f201]) ).
fof(f2282,plain,
( sF3 = u(sF4,sF5)
| ~ spl23_82 ),
inference(forward_demodulation,[],[f2185,f1091]) ).
fof(f2284,plain,
( sF3 = sF6
| ~ spl23_82 ),
inference(forward_demodulation,[],[f2282,f76]) ).
fof(f2286,plain,
( s(sF3) = sF18
| ~ spl23_82 ),
inference(superposition,[],[f100,f2284]) ).
fof(f2307,plain,
( sF4 = sF18
| ~ spl23_82 ),
inference(forward_demodulation,[],[f2286,f72]) ).
fof(f2311,plain,
( mem(sF6,sF4)
| ~ spl23_82 ),
inference(superposition,[],[f114,f2307]) ).
fof(f2332,plain,
( $false
| ~ spl23_82 ),
inference(forward_subsumption_resolution,[],[f2311,f2087]) ).
fof(f2333,plain,
~ spl23_82,
inference(avatar_contradiction_clause,[],[f2332]) ).
fof(f2334,plain,
( mem(e,sF4)
| spl23_56
| ~ spl23_80 ),
inference(forward_subsumption_resolution,[],[f2244,f969]) ).
fof(f2335,plain,
( $false
| spl23_56
| spl23_78
| ~ spl23_80 ),
inference(forward_subsumption_resolution,[],[f2334,f1072]) ).
fof(f2336,plain,
( spl23_56
| spl23_78
| ~ spl23_80 ),
inference(avatar_contradiction_clause,[],[f2335]) ).
fof(f2499,plain,
( ! [X0] : ~ mem(X0,sF9)
| ~ spl23_75 ),
inference(superposition,[],[f50,f1058]) ).
fof(f2506,plain,
( mem(sF9,sF9)
| ~ spl23_75 ),
inference(superposition,[],[f209,f1058]) ).
fof(f2524,plain,
( mem(sF9,sF2)
| ~ spl23_103 ),
inference(resolution,[],[f1982,f208]) ).
fof(f2550,plain,
( e = sF9
| ~ spl23_103 ),
inference(resolution,[],[f2524,f155]) ).
fof(f2553,plain,
( $false
| spl23_75
| ~ spl23_103 ),
inference(forward_subsumption_resolution,[],[f2550,f1057]) ).
fof(f2554,plain,
( spl23_75
| ~ spl23_103 ),
inference(avatar_contradiction_clause,[],[f2553]) ).
fof(f2565,plain,
( sF4 = sF9
| ~ spl23_100 ),
inference(resolution,[],[f1876,f161]) ).
fof(f2576,plain,
( mem(e,sF4)
| ~ spl23_100 ),
inference(superposition,[],[f209,f2565]) ).
fof(f2582,plain,
( $false
| spl23_78
| ~ spl23_100 ),
inference(forward_subsumption_resolution,[],[f2576,f1072]) ).
fof(f2583,plain,
( spl23_78
| ~ spl23_100 ),
inference(avatar_contradiction_clause,[],[f2582]) ).
fof(f2586,plain,
( $false
| ~ spl23_84 ),
inference(forward_subsumption_resolution,[],[f2214,f2210]) ).
fof(f2587,plain,
~ spl23_84,
inference(avatar_contradiction_clause,[],[f2586]) ).
fof(f2593,plain,
( $false
| ~ spl23_75 ),
inference(forward_subsumption_resolution,[],[f2506,f2499]) ).
fof(f2594,plain,
~ spl23_75,
inference(avatar_contradiction_clause,[],[f2593]) ).
fof(f2671,plain,
( mem(sF9,sF5)
| mem(sF9,sF4)
| ~ spl23_104 ),
inference(resolution,[],[f1986,f201]) ).
fof(f2674,definition,
( spl23_117
<=> mem(sF9,sF4) ),
introduced(definition,[new_symbols(definition,[spl23_117])],[avatar_definition]) ).
fof(f2676,plain,
( mem(sF9,sF4)
| ~ spl23_117 ),
inference(avatar_component_clause,[],[f2674]) ).
fof(f2678,definition,
( spl23_118
<=> mem(sF9,sF5) ),
introduced(definition,[new_symbols(definition,[spl23_118])],[avatar_definition]) ).
fof(f2680,plain,
( mem(sF9,sF5)
| ~ spl23_118 ),
inference(avatar_component_clause,[],[f2678]) ).
fof(f2681,plain,
( spl23_117
| spl23_118
| ~ spl23_104 ),
inference(avatar_split_clause,[],[f2671,f1984,f2678,f2674]) ).
fof(f2682,plain,
( sF3 = sF9
| ~ spl23_117 ),
inference(resolution,[],[f2676,f156]) ).
fof(f2690,plain,
( mem(sF3,sF3)
| ~ spl23_117 ),
inference(superposition,[],[f185,f2682]) ).
fof(f2720,plain,
( mem(sF3,sF2)
| ~ spl23_117 ),
inference(resolution,[],[f2690,f208]) ).
fof(f2723,plain,
( e = sF3
| ~ spl23_117 ),
inference(resolution,[],[f2720,f155]) ).
fof(f2726,plain,
( $false
| spl23_84
| ~ spl23_117 ),
inference(forward_subsumption_resolution,[],[f2723,f1101]) ).
fof(f2727,plain,
( spl23_84
| ~ spl23_117 ),
inference(avatar_contradiction_clause,[],[f2726]) ).
fof(f2729,plain,
( sF4 = sF9
| ~ spl23_118 ),
inference(resolution,[],[f2680,f157]) ).
fof(f2739,plain,
( mem(e,sF4)
| ~ spl23_118 ),
inference(superposition,[],[f209,f2729]) ).
fof(f2747,plain,
( $false
| spl23_78
| ~ spl23_118 ),
inference(forward_subsumption_resolution,[],[f2739,f1072]) ).
fof(f2748,plain,
( spl23_78
| ~ spl23_118 ),
inference(avatar_contradiction_clause,[],[f2747]) ).
cnf(s12,plain,
( spl23_26
| spl23_27
| spl23_28 ),
inference(sat_conversion,[],[f638]) ).
cnf(s15,plain,
( ~ spl23_26
| spl23_29
| spl23_32 ),
inference(sat_conversion,[],[f670]) ).
cnf(s18,plain,
( ~ spl23_27
| spl23_33
| spl23_36 ),
inference(sat_conversion,[],[f701]) ).
cnf(s21,plain,
( ~ spl23_28
| spl23_37
| spl23_40 ),
inference(sat_conversion,[],[f730]) ).
cnf(s22,plain,
~ spl23_29,
inference(sat_conversion,[],[f812]) ).
cnf(s57,plain,
( ~ spl23_56
| spl23_82 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s64,plain,
( ~ spl23_78
| spl23_84 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s79,plain,
( ~ spl23_32
| spl23_99
| spl23_100 ),
inference(sat_conversion,[],[f1877]) ).
cnf(s82,plain,
( ~ spl23_33
| spl23_80 ),
inference(sat_conversion,[],[f1902]) ).
cnf(s84,plain,
( ~ spl23_36
| spl23_99
| spl23_100 ),
inference(sat_conversion,[],[f1929]) ).
cnf(s87,plain,
( ~ spl23_37
| spl23_103
| spl23_104 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s89,plain,
( ~ spl23_40
| spl23_99
| spl23_100 ),
inference(sat_conversion,[],[f2007]) ).
cnf(s94,plain,
( ~ spl23_99
| spl23_107
| spl23_108 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s95,plain,
( spl23_82
| ~ spl23_107 ),
inference(sat_conversion,[],[f2086]) ).
cnf(s104,plain,
( spl23_107
| ~ spl23_108 ),
inference(sat_conversion,[],[f2171]) ).
cnf(s115,plain,
~ spl23_82,
inference(sat_conversion,[],[f2333]) ).
cnf(s116,plain,
( spl23_56
| spl23_78
| ~ spl23_80 ),
inference(sat_conversion,[],[f2336]) ).
cnf(s132,plain,
( spl23_75
| ~ spl23_103 ),
inference(sat_conversion,[],[f2554]) ).
cnf(s134,plain,
( spl23_78
| ~ spl23_100 ),
inference(sat_conversion,[],[f2583]) ).
cnf(s137,plain,
~ spl23_84,
inference(sat_conversion,[],[f2587]) ).
cnf(s140,plain,
~ spl23_75,
inference(sat_conversion,[],[f2594]) ).
cnf(s146,plain,
( ~ spl23_104
| spl23_117
| spl23_118 ),
inference(sat_conversion,[],[f2681]) ).
cnf(s147,plain,
( spl23_84
| ~ spl23_117 ),
inference(sat_conversion,[],[f2727]) ).
cnf(s148,plain,
( spl23_78
| ~ spl23_118 ),
inference(sat_conversion,[],[f2748]) ).
cnf(s151,plain,
~ spl23_117,
inference(rat,[],[s147,s137]) ).
cnf(s152,plain,
~ spl23_103,
inference(rat,[],[s132,s140]) ).
cnf(s153,plain,
~ spl23_107,
inference(rat,[],[s95,s115]) ).
cnf(s155,plain,
~ spl23_108,
inference(rat,[],[s104,s153]) ).
cnf(s156,plain,
~ spl23_99,
inference(rat,[],[s94,s155,s153]) ).
cnf(s157,plain,
( ~ spl23_40
| spl23_100 ),
inference(rat,[],[s89,s156]) ).
cnf(s158,plain,
( ~ spl23_37
| spl23_104 ),
inference(rat,[],[s87,s152]) ).
cnf(s159,plain,
( ~ spl23_36
| spl23_100 ),
inference(rat,[],[s84,s156]) ).
cnf(s160,plain,
( ~ spl23_32
| spl23_100 ),
inference(rat,[],[s79,s156]) ).
cnf(s163,plain,
~ spl23_78,
inference(rat,[],[s64,s137]) ).
cnf(s164,plain,
~ spl23_118,
inference(rat,[],[s148,s163]) ).
cnf(s165,plain,
~ spl23_100,
inference(rat,[],[s134,s163]) ).
cnf(s166,plain,
~ spl23_104,
inference(rat,[],[s146,s151,s164]) ).
cnf(s167,plain,
~ spl23_40,
inference(rat,[],[s157,s165]) ).
cnf(s168,plain,
~ spl23_36,
inference(rat,[],[s159,s165]) ).
cnf(s169,plain,
~ spl23_32,
inference(rat,[],[s160,s165]) ).
cnf(s170,plain,
~ spl23_37,
inference(rat,[],[s158,s166]) ).
cnf(s180,plain,
~ spl23_56,
inference(rat,[],[s57,s115]) ).
cnf(s182,plain,
~ spl23_80,
inference(rat,[],[s116,s163,s180]) ).
cnf(s184,plain,
~ spl23_33,
inference(rat,[],[s82,s182]) ).
cnf(s195,plain,
~ spl23_28,
inference(rat,[],[s21,s167,s170]) ).
cnf(s196,plain,
~ spl23_27,
inference(rat,[],[s18,s168,s184]) ).
cnf(s197,plain,
~ spl23_26,
inference(rat,[],[s15,s169,s22]) ).
cnf(s198,plain,
$false,
inference(rat,[],[s12,s195,s196,s197]) ).
fof(f2757,plain,
$false,
inference(avatar_sat_refutation,[],[s198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV557+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 06:36:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 6.42/1.89 % (1588228)Detected formulas, will run a generic FOF schedule.
% 6.42/1.89 % (1588233)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=945124132:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.42/1.89 % (1588239)dis-21_1_sil=8000:lcm=predicate:random_seed=133686595: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)
% 6.42/1.89 % (1588236)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2880374202:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.42/1.89 % (1588238)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2412524451:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.42/1.89 % (1588235)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=3102016050:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.42/1.89 % (1588237)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2988764980:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.42/1.89 % (1588234)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=1166606895:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.42/1.89 % (1588236)Refutation not found, incomplete strategy
% 6.42/1.89 % (1588236)------------------------------
% 6.42/1.89 % (1588236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588236)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588236)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.89 % (1588236)Time elapsed: 0.001 s
% 6.42/1.89 % (1588236)Peak memory usage: 88 MB
% 6.42/1.89 % (1588236)Instructions burned: 1 (million)
% 6.42/1.89 % (1588239)Instruction limit reached!
% 6.42/1.89 % (1588239)------------------------------
% 6.42/1.89 % (1588239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588239)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588239)Termination reason: Instruction limit
% 6.42/1.89 % (1588239)Termination phase: Saturation
% 6.42/1.89 % (1588239)Time elapsed: 0.065 s
% 6.42/1.89 % (1588239)Peak memory usage: 88 MB
% 6.42/1.89 % (1588239)Instructions burned: 130 (million)
% 6.42/1.89 % (1588237)Instruction limit reached!
% 6.42/1.89 % (1588237)------------------------------
% 6.42/1.89 % (1588237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588237)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588237)Termination reason: Instruction limit
% 6.42/1.89 % (1588237)Termination phase: Saturation
% 6.42/1.89 % (1588237)Time elapsed: 0.076 s
% 6.42/1.89 % (1588237)Peak memory usage: 88 MB
% 6.42/1.89 % (1588237)Instructions burned: 120 (million)
% 6.42/1.89 % (1588238)Instruction limit reached!
% 6.42/1.89 % (1588238)------------------------------
% 6.42/1.89 % (1588238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588238)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588238)Termination reason: Instruction limit
% 6.42/1.89 % (1588238)Termination phase: Saturation
% 6.42/1.89 % (1588238)Time elapsed: 0.096 s
% 6.42/1.89 % (1588238)Peak memory usage: 89 MB
% 6.42/1.89 % (1588238)Instructions burned: 139 (million)
% 6.42/1.89 % (1588247)lrs+10_1_sil=8000:sp=occurrence:random_seed=1636793981:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.42/1.89 % (1588248)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1762507055:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.42/1.89 % (1588249)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4019115990:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.42/1.89 % (1588249)Refutation not found, incomplete strategy
% 6.42/1.89 % (1588249)------------------------------
% 6.42/1.89 % (1588249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588249)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588249)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.89 % (1588249)Time elapsed: 0.007 s
% 6.42/1.89 % (1588249)Peak memory usage: 88 MB
% 6.42/1.89 % (1588249)Instructions burned: 12 (million)
% 6.42/1.89 % (1588236)------------------------------
% 6.42/1.89 % (1588236)------------------------------
% 6.42/1.89 % (1588248)Instruction limit reached!
% 6.42/1.89 % (1588248)------------------------------
% 6.42/1.89 % (1588248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588248)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588248)Termination reason: Instruction limit
% 6.42/1.89 % (1588248)Termination phase: Saturation
% 6.42/1.89 % (1588248)Time elapsed: 0.081 s
% 6.42/1.89 % (1588248)Peak memory usage: 90 MB
% 6.42/1.89 % (1588248)Instructions burned: 158 (million)
% 6.42/1.89 % (1588247)Instruction limit reached!
% 6.42/1.89 % (1588247)------------------------------
% 6.42/1.89 % (1588247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588247)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588247)Termination reason: Instruction limit
% 6.42/1.89 % (1588247)Termination phase: Saturation
% 6.42/1.89 % (1588247)Time elapsed: 0.182 s
% 6.42/1.89 % (1588247)Peak memory usage: 92 MB
% 6.42/1.89 % (1588247)Instructions burned: 286 (million)
% 6.42/1.89 % (1588253)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=1483575411:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.42/1.89 % (1588254)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=904253849:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.42/1.89 % (1588254)Refutation not found, incomplete strategy
% 6.42/1.89 % (1588254)------------------------------
% 6.42/1.89 % (1588254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588254)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588254)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.89 % (1588254)Time elapsed: 0.002 s
% 6.42/1.89 % (1588254)Peak memory usage: 88 MB
% 6.42/1.89 % (1588254)Instructions burned: 1 (million)
% 6.42/1.89 % (1588249)------------------------------
% 6.42/1.89 % (1588249)------------------------------
% 6.42/1.89 % (1588255)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3780918074:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.42/1.89 % (1588253)Instruction limit reached!
% 6.42/1.89 % (1588253)------------------------------
% 6.42/1.89 % (1588253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588253)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588253)Termination reason: Instruction limit
% 6.42/1.89 % (1588253)Termination phase: Saturation
% 6.42/1.89 % (1588253)Time elapsed: 0.141 s
% 6.42/1.89 % (1588253)Peak memory usage: 91 MB
% 6.42/1.89 % (1588253)Instructions burned: 249 (million)
% 6.42/1.89 % (1588258)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=543191755:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.42/1.89 % (1588233)First to succeed.
% 6.42/1.89 % (1588233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1588228"
% 6.42/1.89 % (1588254)------------------------------
% 6.42/1.89 % (1588254)------------------------------
% 6.42/1.89 % (1588258)Instruction limit reached!
% 6.42/1.89 % (1588258)------------------------------
% 6.42/1.89 % (1588258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588258)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588258)Termination reason: Instruction limit
% 6.42/1.89 % (1588258)Termination phase: Saturation
% 6.42/1.89 % (1588258)Time elapsed: 0.062 s
% 6.42/1.89 % (1588258)Peak memory usage: 89 MB
% 6.42/1.89 % (1588258)Instructions burned: 113 (million)
% 6.42/1.89 % (1588260)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3688301736:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.42/1.89 % (1588234)Also succeeded, but the first one will report.
% 6.42/1.89 % (1588260)Instruction limit reached!
% 6.42/1.89 % (1588260)------------------------------
% 6.42/1.89 % (1588260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588260)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588260)Termination reason: Instruction limit
% 6.42/1.89 % (1588260)Termination phase: Saturation
% 6.42/1.89 % (1588260)Time elapsed: 0.058 s
% 6.42/1.89 % (1588260)Peak memory usage: 88 MB
% 6.42/1.89 % (1588260)Instructions burned: 129 (million)
% 6.42/1.89 % (1588263)lrs+10_1_sil=8000:sp=occurrence:random_seed=2925282039:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.42/1.89 % (1588262)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=29123539:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.42/1.89 % (1588262)Instruction limit reached!
% 6.42/1.89 % (1588262)------------------------------
% 6.42/1.89 % (1588262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588262)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588262)Termination reason: Instruction limit
% 6.42/1.89 % (1588262)Termination phase: Saturation
% 6.42/1.89 % (1588262)Time elapsed: 0.053 s
% 6.42/1.89 % (1588262)Peak memory usage: 88 MB
% 6.42/1.89 % (1588262)Instructions burned: 115 (million)
% 6.42/1.89 % (1588265)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1217791569:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.42/1.89 % (1588265)Refutation not found, incomplete strategy
% 6.42/1.89 % (1588265)------------------------------
% 6.42/1.89 % (1588265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/1.89 % (1588265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.89 % (1588265)CaDiCaL version: 2.1.3
% 6.42/1.89 % (1588265)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.89 % (1588265)Time elapsed: 0.001 s
% 6.42/1.89 % (1588265)Peak memory usage: 88 MB
% 6.42/1.89 % (1588265)Instructions burned: 1 (million)
% 6.42/1.89 % (1588233)Refutation found. Thanks to Tanya!
% 6.42/1.89 % SZS status Theorem for theBenchmark
% 6.42/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 7.86/1.98 % (1588233)------------------------------
% 7.86/1.98 % (1588233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.98 % (1588233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.98 % (1588233)CaDiCaL version: 2.1.3
% 7.86/1.98 % (1588233)Termination reason: Refutation
% 7.86/1.98 % (1588233)Time elapsed: 0.685 s
% 7.86/1.98 % (1588233)Peak memory usage: 133 MB
% 7.86/1.98 % (1588233)Instructions burned: 1348 (million)
% 7.86/1.98 % (1588233)------------------------------
% 7.86/1.98 % (1588233)------------------------------
% 7.86/1.98 % (1588228)Success in time 1.048 s
% 7.86/1.98 % Vampire exiting
%------------------------------------------------------------------------------