%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV578+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 : n015.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 12:58:23 PM UTC 2026
% Result : Theorem 9.88s 2.24s
% Output : Refutation 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 46
% Syntax : Number of formulae : 263 ( 99 unt; 39 def)
% Number of atoms : 611 ( 166 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 512 ( 164 ~; 317 |; 12 &)
% ( 18 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 27 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 112 !; 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(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(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(u(s(u(n(e),n(s(n(e))))),a(s(p(s(n(e)))),s(n(n(e))))),a(u(s(n(e)),n(s(s(n(e))))),a(s(n(e)),n(n(e))))),u(u(n(u(n(e),n(s(n(e))))),a(p(p(s(n(e)))),s(n(n(e))))),s(a(s(n(e)),n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_1462_1463) ).
fof(f27,negated_conjecture,
~ subq(u(u(s(u(n(e),n(s(n(e))))),a(s(p(s(n(e)))),s(n(n(e))))),a(u(s(n(e)),n(s(s(n(e))))),a(s(n(e)),n(n(e))))),u(u(n(u(n(e),n(s(n(e))))),a(p(p(s(n(e)))),s(n(n(e))))),s(a(s(n(e)),n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ subq(u(u(s(u(n(e),n(s(n(e))))),a(s(p(s(n(e)))),s(n(n(e))))),a(u(s(n(e)),n(s(s(n(e))))),a(s(n(e)),n(n(e))))),u(u(n(u(n(e),n(s(n(e))))),a(p(p(s(n(e)))),s(n(n(e))))),s(a(s(n(e)),n(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(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(f40,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
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(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(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(f57,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
~ subq(u(u(s(u(n(e),n(s(n(e))))),a(s(p(s(n(e)))),s(n(n(e))))),a(u(s(n(e)),n(s(s(n(e))))),a(s(n(e)),n(n(e))))),u(u(n(u(n(e),n(s(n(e))))),a(p(p(s(n(e)))),s(n(n(e))))),s(a(s(n(e)),n(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(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(s(p(s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(u(e,s(e))),u(s(s(u(e,s(e)))),s(s(s(u(e,s(e))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(u(u(u(e,s(e)),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)))))))),u(p(p(s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e)))))))),s(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f58,f59,f59,f59,f54,f59,f59,f59,f54,f59,f59,f59,f54,f59,f59,f59,f59,f59,f59,f59,f54,f59,f59,f59,f54,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 = s(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
s(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = p(sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
p(sF3) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = s(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
s(sF8) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
u(sF2,sF3) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = s(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
s(sF10) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = s(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
s(sF11) = sF12,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF13 = u(sF9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
u(sF9,sF12) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = u(sF7,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
u(sF7,sF13) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = s(sF4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
s(sF4) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = u(sF4,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
u(sF4,sF15) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = u(sF3,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
u(sF3,sF16) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = u(sF3,sF11),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
u(sF3,sF11) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = s(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
s(sF18) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF20 = u(sF17,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f101,plain,
u(sF17,sF19) = sF20,
inference(reorient_equations,[],[f100]) ).
fof(f102,definition,
sF21 = u(sF14,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f103,plain,
u(sF14,sF20) = sF21,
inference(reorient_equations,[],[f102]) ).
fof(f104,definition,
sF22 = u(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f105,plain,
u(sF6,sF7) = sF22,
inference(reorient_equations,[],[f104]) ).
fof(f106,definition,
sF23 = p(sF8),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f107,plain,
p(sF8) = sF23,
inference(reorient_equations,[],[f106]) ).
fof(f108,definition,
sF24 = u(sF23,sF12),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f109,plain,
u(sF23,sF12) = sF24,
inference(reorient_equations,[],[f108]) ).
fof(f110,definition,
sF25 = u(sF22,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f111,plain,
u(sF22,sF24) = sF25,
inference(reorient_equations,[],[f110]) ).
fof(f112,definition,
sF26 = u(sF25,sF19),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f113,plain,
u(sF25,sF19) = sF26,
inference(reorient_equations,[],[f112]) ).
fof(f114,plain,
~ subq(sF21,sF26),
inference(definition_folding,[],[f60,f113,f99,f97,f83,f81,f67,f65,f63,f65,f63,f67,f65,f63,f111,f109,f85,f83,f81,f67,f65,f63,f65,f63,f107,f77,f67,f65,f63,f105,f75,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63,f103,f101,f99,f97,f83,f81,f67,f65,f63,f65,f63,f67,f65,f63,f95,f93,f91,f69,f67,f65,f63,f69,f67,f65,f63,f67,f65,f63,f89,f87,f85,f83,f81,f67,f65,f63,f65,f63,f79,f77,f67,f65,f63,f75,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63]) ).
fof(f115,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f42,f43]) ).
fof(f116,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f117,plain,
mem(sF2,sF3),
inference(superposition,[],[f61,f67]) ).
fof(f120,plain,
mem(sF6,sF7),
inference(superposition,[],[f61,f75]) ).
fof(f121,plain,
mem(sF11,sF12),
inference(superposition,[],[f61,f85]) ).
fof(f123,plain,
mem(sF18,sF19),
inference(superposition,[],[f61,f99]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f49,f43]) ).
fof(f131,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF5) ),
inference(superposition,[],[f49,f71]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f50,f43]) ).
fof(f139,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF5) ),
inference(superposition,[],[f50,f71]) ).
fof(f142,plain,
! [X0] :
( ~ mem(X0,sF25)
| mem(X0,sF26) ),
inference(superposition,[],[f50,f113]) ).
fof(f147,plain,
! [X0] :
( ~ mem(X0,sF23)
| mem(X0,sF24) ),
inference(superposition,[],[f50,f109]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF12)
| mem(X0,sF24) ),
inference(superposition,[],[f49,f109]) ).
fof(f151,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF22) ),
inference(superposition,[],[f50,f105]) ).
fof(f152,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF22) ),
inference(superposition,[],[f49,f105]) ).
fof(f154,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f49,f73]) ).
fof(f170,plain,
! [X0] :
( ~ mem(X0,sF17)
| mem(X0,sF16)
| mem(X0,sF3) ),
inference(superposition,[],[f48,f95]) ).
fof(f172,plain,
! [X0] :
( ~ mem(X0,sF16)
| mem(X0,sF15)
| mem(X0,sF4) ),
inference(superposition,[],[f48,f93]) ).
fof(f174,plain,
! [X0] :
( ~ mem(X0,sF14)
| mem(X0,sF13)
| mem(X0,sF7) ),
inference(superposition,[],[f48,f89]) ).
fof(f175,plain,
! [X0] :
( ~ mem(X0,sF13)
| mem(X0,sF12)
| mem(X0,sF9) ),
inference(superposition,[],[f48,f87]) ).
fof(f176,plain,
! [X0] :
( ~ mem(X0,sF21)
| mem(X0,sF20)
| mem(X0,sF14) ),
inference(superposition,[],[f48,f103]) ).
fof(f177,plain,
! [X0] :
( ~ mem(X0,sF20)
| mem(X0,sF19)
| mem(X0,sF17) ),
inference(superposition,[],[f48,f101]) ).
fof(f189,plain,
! [X0] :
( ~ mem(X0,sF22)
| mem(X0,sF25) ),
inference(superposition,[],[f50,f111]) ).
fof(f190,plain,
! [X0] :
( ~ mem(X0,sF24)
| mem(X0,sF25) ),
inference(superposition,[],[f49,f111]) ).
fof(f196,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f46,f67]) ).
fof(f197,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f46,f69]) ).
fof(f198,plain,
! [X0] :
( ~ mem(X0,sF15)
| sF4 = X0 ),
inference(superposition,[],[f46,f91]) ).
fof(f199,plain,
! [X0] :
( ~ mem(X0,sF7)
| sF6 = X0 ),
inference(superposition,[],[f46,f75]) ).
fof(f200,plain,
! [X0] :
( ~ mem(X0,sF9)
| sF8 = X0 ),
inference(superposition,[],[f46,f79]) ).
fof(f202,plain,
! [X0] :
( ~ mem(X0,sF12)
| sF11 = X0 ),
inference(superposition,[],[f46,f85]) ).
fof(f203,plain,
! [X0] :
( ~ mem(X0,sF19)
| sF18 = X0 ),
inference(superposition,[],[f46,f99]) ).
fof(f213,plain,
mem(sF2,sF5),
inference(resolution,[],[f117,f139]) ).
fof(f218,plain,
mem(sF11,sF24),
inference(resolution,[],[f121,f148]) ).
fof(f240,plain,
mem(sF6,sF22),
inference(resolution,[],[f120,f152]) ).
fof(f252,plain,
! [X0] :
( mem(sK0(sF21,X0),sF20)
| mem(sK0(sF21,X0),sF14)
| subq(sF21,X0) ),
inference(resolution,[],[f176,f42]) ).
fof(f254,plain,
! [X0] :
( mem(sK0(sF21,X0),sF17)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF19)
| mem(sK0(sF21,X0),sF14) ),
inference(resolution,[],[f252,f177]) ).
fof(f279,plain,
! [X0] :
( mem(sK0(sF21,X0),sF16)
| mem(sK0(sF21,X0),sF19)
| mem(sK0(sF21,X0),sF14)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF3) ),
inference(resolution,[],[f254,f170]) ).
fof(f329,plain,
! [X0] :
( mem(sK0(sF21,X0),sF15)
| mem(sK0(sF21,X0),sF14)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF3)
| mem(sK0(sF21,X0),sF19)
| mem(sK0(sF21,X0),sF4) ),
inference(resolution,[],[f279,f172]) ).
fof(f349,plain,
! [X0] :
( subq(sF4,X0)
| sF3 = sK0(sF4,X0) ),
inference(resolution,[],[f197,f42]) ).
fof(f402,plain,
mem(sF2,sF6),
inference(resolution,[],[f213,f154]) ).
fof(f404,plain,
mem(sF2,sF22),
inference(resolution,[],[f402,f151]) ).
fof(f406,plain,
mem(sF2,sF25),
inference(resolution,[],[f404,f189]) ).
fof(f431,plain,
mem(sF6,sF25),
inference(resolution,[],[f240,f189]) ).
fof(f441,plain,
mem(sF11,sF25),
inference(resolution,[],[f218,f190]) ).
fof(f448,plain,
! [X0] :
( mem(sK0(sF21,X0),sF14)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF3)
| mem(sK0(sF21,X0),sF19)
| mem(sK0(sF21,X0),sF4)
| sF4 = sK0(sF21,X0) ),
inference(resolution,[],[f329,f198]) ).
fof(f501,plain,
! [X0] :
( ~ mem(sK0(X0,sF26),sF19)
| subq(X0,sF26) ),
inference(superposition,[],[f129,f113]) ).
fof(f557,plain,
! [X0] :
( ~ mem(sK0(X0,sF26),sF25)
| subq(X0,sF26) ),
inference(superposition,[],[f137,f113]) ).
fof(f576,plain,
! [X0] :
( mem(sK0(sF21,X0),sF13)
| mem(sK0(sF21,X0),sF3)
| mem(sK0(sF21,X0),sF19)
| mem(sK0(sF21,X0),sF4)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF7) ),
inference(resolution,[],[f448,f174]) ).
fof(f633,plain,
! [X0] :
( ~ subq(X0,sF3)
| mem(X0,sF8) ),
inference(superposition,[],[f57,f77]) ).
fof(f634,plain,
! [X0] :
( ~ subq(X0,sF8)
| mem(X0,sF23) ),
inference(superposition,[],[f57,f107]) ).
fof(f635,plain,
mem(sF8,sF23),
inference(resolution,[],[f634,f116]) ).
fof(f639,plain,
mem(sF8,sF24),
inference(resolution,[],[f635,f147]) ).
fof(f641,plain,
mem(sF8,sF25),
inference(resolution,[],[f639,f190]) ).
fof(f649,plain,
mem(sF3,sF8),
inference(resolution,[],[f633,f116]) ).
fof(f689,plain,
! [X0] :
( mem(sK0(sF21,X0),sF9)
| mem(sK0(sF21,X0),sF19)
| mem(sK0(sF21,X0),sF4)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF7)
| mem(sK0(sF21,X0),sF12)
| mem(sK0(sF21,X0),sF3) ),
inference(resolution,[],[f576,f175]) ).
fof(f814,plain,
! [X0] :
( mem(sK0(sF21,X0),sF19)
| mem(sK0(sF21,X0),sF4)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF7)
| mem(sK0(sF21,X0),sF12)
| mem(sK0(sF21,X0),sF3)
| sF8 = sK0(sF21,X0) ),
inference(resolution,[],[f689,f200]) ).
fof(f1176,plain,
( mem(sK0(sF21,sF26),sF4)
| sF4 = sK0(sF21,sF26)
| subq(sF21,sF26)
| mem(sK0(sF21,sF26),sF7)
| mem(sK0(sF21,sF26),sF12)
| mem(sK0(sF21,sF26),sF3)
| sF8 = sK0(sF21,sF26)
| subq(sF21,sF26) ),
inference(resolution,[],[f814,f501]) ).
fof(f1180,plain,
! [X0] :
( mem(sK0(sF21,X0),sF12)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF7)
| mem(sK0(sF21,X0),sF4)
| mem(sK0(sF21,X0),sF3)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0) ),
inference(resolution,[],[f814,f203]) ).
fof(f1192,plain,
( mem(sK0(sF21,sF26),sF4)
| sF4 = sK0(sF21,sF26)
| subq(sF21,sF26)
| mem(sK0(sF21,sF26),sF7)
| mem(sK0(sF21,sF26),sF12)
| mem(sK0(sF21,sF26),sF3)
| sF8 = sK0(sF21,sF26) ),
inference(duplicate_literal_removal,[],[f1176]) ).
fof(f1222,plain,
( mem(sK0(sF21,sF26),sF4)
| sF4 = sK0(sF21,sF26)
| mem(sK0(sF21,sF26),sF7)
| mem(sK0(sF21,sF26),sF12)
| mem(sK0(sF21,sF26),sF3)
| sF8 = sK0(sF21,sF26) ),
inference(forward_subsumption_resolution,[],[f1192,f114]) ).
fof(f1224,definition,
( spl27_70
<=> sF8 = sK0(sF21,sF26) ),
introduced(definition,[new_symbols(definition,[spl27_70])],[avatar_definition]) ).
fof(f1225,plain,
( sF8 != sK0(sF21,sF26)
| spl27_70 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1226,plain,
( sF8 = sK0(sF21,sF26)
| ~ spl27_70 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1228,definition,
( spl27_71
<=> mem(sK0(sF21,sF26),sF3) ),
introduced(definition,[new_symbols(definition,[spl27_71])],[avatar_definition]) ).
fof(f1229,plain,
( ~ mem(sK0(sF21,sF26),sF3)
| spl27_71 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1230,plain,
( mem(sK0(sF21,sF26),sF3)
| ~ spl27_71 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1232,definition,
( spl27_72
<=> mem(sK0(sF21,sF26),sF12) ),
introduced(definition,[new_symbols(definition,[spl27_72])],[avatar_definition]) ).
fof(f1234,plain,
( mem(sK0(sF21,sF26),sF12)
| ~ spl27_72 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1236,definition,
( spl27_73
<=> mem(sK0(sF21,sF26),sF7) ),
introduced(definition,[new_symbols(definition,[spl27_73])],[avatar_definition]) ).
fof(f1238,plain,
( mem(sK0(sF21,sF26),sF7)
| ~ spl27_73 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1240,definition,
( spl27_74
<=> sF4 = sK0(sF21,sF26) ),
introduced(definition,[new_symbols(definition,[spl27_74])],[avatar_definition]) ).
fof(f1241,plain,
( sF4 != sK0(sF21,sF26)
| spl27_74 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1242,plain,
( sF4 = sK0(sF21,sF26)
| ~ spl27_74 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1244,definition,
( spl27_75
<=> mem(sK0(sF21,sF26),sF4) ),
introduced(definition,[new_symbols(definition,[spl27_75])],[avatar_definition]) ).
fof(f1246,plain,
( mem(sK0(sF21,sF26),sF4)
| ~ spl27_75 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1247,plain,
( spl27_70
| spl27_71
| spl27_72
| spl27_73
| spl27_74
| spl27_75 ),
inference(avatar_split_clause,[],[f1222,f1244,f1240,f1236,f1232,f1228,f1224]) ).
fof(f1255,plain,
( ~ mem(sF8,sF25)
| subq(sF21,sF26)
| ~ spl27_70 ),
inference(superposition,[],[f557,f1226]) ).
fof(f1262,plain,
( subq(sF21,sF26)
| ~ spl27_70 ),
inference(forward_subsumption_resolution,[],[f1255,f641]) ).
fof(f1265,plain,
( $false
| ~ spl27_70 ),
inference(forward_subsumption_resolution,[],[f1262,f114]) ).
fof(f1266,plain,
~ spl27_70,
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1268,plain,
( sF2 = sK0(sF21,sF26)
| ~ spl27_71 ),
inference(resolution,[],[f1230,f196]) ).
fof(f1283,plain,
( ~ mem(sF2,sF25)
| subq(sF21,sF26)
| ~ spl27_71 ),
inference(superposition,[],[f557,f1268]) ).
fof(f1290,plain,
( subq(sF21,sF26)
| ~ spl27_71 ),
inference(forward_subsumption_resolution,[],[f1283,f406]) ).
fof(f1293,plain,
( $false
| ~ spl27_71 ),
inference(forward_subsumption_resolution,[],[f1290,f114]) ).
fof(f1294,plain,
~ spl27_71,
inference(avatar_contradiction_clause,[],[f1293]) ).
fof(f1295,plain,
( sF11 = sK0(sF21,sF26)
| ~ spl27_72 ),
inference(resolution,[],[f1234,f202]) ).
fof(f1308,plain,
( ~ mem(sF11,sF25)
| subq(sF21,sF26)
| ~ spl27_72 ),
inference(superposition,[],[f557,f1295]) ).
fof(f1315,plain,
( subq(sF21,sF26)
| ~ spl27_72 ),
inference(forward_subsumption_resolution,[],[f1308,f441]) ).
fof(f1318,plain,
( $false
| ~ spl27_72 ),
inference(forward_subsumption_resolution,[],[f1315,f114]) ).
fof(f1319,plain,
~ spl27_72,
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1320,plain,
( sF6 = sK0(sF21,sF26)
| ~ spl27_73 ),
inference(resolution,[],[f1238,f199]) ).
fof(f1333,plain,
( ~ mem(sF6,sF25)
| subq(sF21,sF26)
| ~ spl27_73 ),
inference(superposition,[],[f557,f1320]) ).
fof(f1340,plain,
( subq(sF21,sF26)
| ~ spl27_73 ),
inference(forward_subsumption_resolution,[],[f1333,f431]) ).
fof(f1343,plain,
( $false
| ~ spl27_73 ),
inference(forward_subsumption_resolution,[],[f1340,f114]) ).
fof(f1344,plain,
~ spl27_73,
inference(avatar_contradiction_clause,[],[f1343]) ).
fof(f1349,plain,
( ~ mem(sF4,sF25)
| subq(sF21,sF26)
| ~ spl27_74 ),
inference(superposition,[],[f557,f1242]) ).
fof(f1356,plain,
( ~ mem(sF4,sF25)
| ~ spl27_74 ),
inference(forward_subsumption_resolution,[],[f1349,f114]) ).
fof(f1389,plain,
! [X0] :
( mem(sK0(sF21,X0),sF7)
| subq(sF21,X0)
| sF4 = sK0(sF21,X0)
| mem(sK0(sF21,X0),sF4)
| mem(sK0(sF21,X0),sF3)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0)
| sF11 = sK0(sF21,X0) ),
inference(resolution,[],[f1180,f202]) ).
fof(f1443,plain,
! [X0] :
( mem(sK0(sF21,X0),sF4)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF3)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0)
| sF11 = sK0(sF21,X0)
| sF6 = sK0(sF21,X0) ),
inference(resolution,[],[f1389,f199]) ).
fof(f1500,plain,
! [X0] :
( sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| mem(sK0(sF21,X0),sF3)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0)
| sF11 = sK0(sF21,X0)
| sF6 = sK0(sF21,X0)
| mem(sK0(sF21,X0),sF5) ),
inference(resolution,[],[f1443,f131]) ).
fof(f1508,plain,
! [X0] :
( mem(sK0(sF21,X0),sF5)
| subq(sF21,X0)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0)
| sF11 = sK0(sF21,X0)
| sF6 = sK0(sF21,X0)
| sF4 = sK0(sF21,X0) ),
inference(forward_subsumption_resolution,[],[f1500,f139]) ).
fof(f1542,plain,
! [X0] :
( mem(sK0(sF21,X0),sF6)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0)
| sF11 = sK0(sF21,X0)
| sF6 = sK0(sF21,X0)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0) ),
inference(resolution,[],[f1508,f154]) ).
fof(f1591,plain,
! [X0] :
( mem(sK0(sF21,X0),sF22)
| sF18 = sK0(sF21,X0)
| sF11 = sK0(sF21,X0)
| sF6 = sK0(sF21,X0)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| sF8 = sK0(sF21,X0) ),
inference(resolution,[],[f1542,f151]) ).
fof(f1628,plain,
! [X0] :
( mem(sK0(sF21,X0),sF25)
| sF11 = sK0(sF21,X0)
| sF6 = sK0(sF21,X0)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0) ),
inference(resolution,[],[f1591,f189]) ).
fof(f1666,plain,
! [X0] :
( mem(sK0(sF21,X0),sF26)
| sF6 = sK0(sF21,X0)
| sF4 = sK0(sF21,X0)
| subq(sF21,X0)
| sF8 = sK0(sF21,X0)
| sF18 = sK0(sF21,X0)
| sF11 = sK0(sF21,X0) ),
inference(resolution,[],[f1628,f142]) ).
fof(f1906,plain,
( sF6 = sK0(sF21,sF26)
| sF4 = sK0(sF21,sF26)
| subq(sF21,sF26)
| sF8 = sK0(sF21,sF26)
| sF18 = sK0(sF21,sF26)
| sF11 = sK0(sF21,sF26)
| subq(sF21,sF26) ),
inference(resolution,[],[f1666,f43]) ).
fof(f1917,plain,
( sF6 = sK0(sF21,sF26)
| sF4 = sK0(sF21,sF26)
| subq(sF21,sF26)
| sF8 = sK0(sF21,sF26)
| sF18 = sK0(sF21,sF26)
| sF11 = sK0(sF21,sF26) ),
inference(duplicate_literal_removal,[],[f1906]) ).
fof(f2904,definition,
( spl27_231
<=> mem(sF4,sF24) ),
introduced(definition,[new_symbols(definition,[spl27_231])],[avatar_definition]) ).
fof(f2905,plain,
( mem(sF4,sF24)
| ~ spl27_231 ),
inference(avatar_component_clause,[],[f2904]) ).
fof(f2906,plain,
( ~ mem(sF4,sF24)
| spl27_231 ),
inference(avatar_component_clause,[],[f2904]) ).
fof(f2956,plain,
( sF3 = sK0(sF4,sF8)
| mem(sF4,sF23) ),
inference(resolution,[],[f349,f634]) ).
fof(f2968,definition,
( spl27_238
<=> mem(sF4,sF23) ),
introduced(definition,[new_symbols(definition,[spl27_238])],[avatar_definition]) ).
fof(f2969,plain,
( ~ mem(sF4,sF23)
| spl27_238 ),
inference(avatar_component_clause,[],[f2968]) ).
fof(f2970,plain,
( mem(sF4,sF23)
| ~ spl27_238 ),
inference(avatar_component_clause,[],[f2968]) ).
fof(f2972,definition,
( spl27_239
<=> sF3 = sK0(sF4,sF8) ),
introduced(definition,[new_symbols(definition,[spl27_239])],[avatar_definition]) ).
fof(f2974,plain,
( sF3 = sK0(sF4,sF8)
| ~ spl27_239 ),
inference(avatar_component_clause,[],[f2972]) ).
fof(f2975,plain,
( spl27_238
| spl27_239 ),
inference(avatar_split_clause,[],[f2956,f2972,f2968]) ).
fof(f2977,plain,
( mem(sF4,sF24)
| ~ spl27_238 ),
inference(resolution,[],[f2970,f147]) ).
fof(f2979,plain,
( $false
| spl27_231
| ~ spl27_238 ),
inference(forward_subsumption_resolution,[],[f2977,f2906]) ).
fof(f2980,plain,
( spl27_231
| ~ spl27_238 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f2982,plain,
( mem(sF4,sF25)
| ~ spl27_231 ),
inference(resolution,[],[f2905,f190]) ).
fof(f2984,plain,
( $false
| ~ spl27_74
| ~ spl27_231 ),
inference(forward_subsumption_resolution,[],[f2982,f1356]) ).
fof(f2985,plain,
( ~ spl27_74
| ~ spl27_231 ),
inference(avatar_contradiction_clause,[],[f2984]) ).
fof(f2989,plain,
( sF6 = sK0(sF21,sF26)
| subq(sF21,sF26)
| sF8 = sK0(sF21,sF26)
| sF18 = sK0(sF21,sF26)
| sF11 = sK0(sF21,sF26)
| spl27_74 ),
inference(forward_subsumption_resolution,[],[f1917,f1241]) ).
fof(f2993,plain,
( sF6 = sK0(sF21,sF26)
| sF8 = sK0(sF21,sF26)
| sF18 = sK0(sF21,sF26)
| sF11 = sK0(sF21,sF26)
| spl27_74 ),
inference(forward_subsumption_resolution,[],[f2989,f114]) ).
fof(f3001,definition,
( spl27_241
<=> sF3 = sK0(sF21,sF26) ),
introduced(definition,[new_symbols(definition,[spl27_241])],[avatar_definition]) ).
fof(f3003,plain,
( sF3 = sK0(sF21,sF26)
| ~ spl27_241 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f3005,definition,
( spl27_242
<=> sF6 = sK0(sF21,sF26) ),
introduced(definition,[new_symbols(definition,[spl27_242])],[avatar_definition]) ).
fof(f3007,plain,
( sF6 = sK0(sF21,sF26)
| ~ spl27_242 ),
inference(avatar_component_clause,[],[f3005]) ).
fof(f3009,definition,
( spl27_243
<=> sF11 = sK0(sF21,sF26) ),
introduced(definition,[new_symbols(definition,[spl27_243])],[avatar_definition]) ).
fof(f3011,plain,
( sF11 = sK0(sF21,sF26)
| ~ spl27_243 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f3013,definition,
( spl27_244
<=> sF18 = sK0(sF21,sF26) ),
introduced(definition,[new_symbols(definition,[spl27_244])],[avatar_definition]) ).
fof(f3015,plain,
( sF18 = sK0(sF21,sF26)
| ~ spl27_244 ),
inference(avatar_component_clause,[],[f3013]) ).
fof(f3017,plain,
( sF6 = sK0(sF21,sF26)
| sF18 = sK0(sF21,sF26)
| sF11 = sK0(sF21,sF26)
| spl27_70
| spl27_74 ),
inference(forward_subsumption_resolution,[],[f2993,f1225]) ).
fof(f3020,plain,
( spl27_243
| spl27_244
| spl27_242
| spl27_70
| spl27_74 ),
inference(avatar_split_clause,[],[f3017,f1240,f1224,f3005,f3013,f3009]) ).
fof(f3034,plain,
( sF3 = sK0(sF21,sF26)
| ~ spl27_75 ),
inference(resolution,[],[f1246,f197]) ).
fof(f3036,plain,
( mem(sK0(sF21,sF26),sF5)
| ~ spl27_75 ),
inference(resolution,[],[f1246,f131]) ).
fof(f3137,plain,
( ~ mem(sF3,sF8)
| subq(sF4,sF8)
| ~ spl27_239 ),
inference(superposition,[],[f43,f2974]) ).
fof(f3138,plain,
( subq(sF4,sF8)
| ~ spl27_239 ),
inference(forward_subsumption_resolution,[],[f3137,f649]) ).
fof(f3139,plain,
( mem(sF4,sF23)
| ~ spl27_239 ),
inference(resolution,[],[f3138,f634]) ).
fof(f3140,plain,
( $false
| spl27_238
| ~ spl27_239 ),
inference(forward_subsumption_resolution,[],[f3139,f2969]) ).
fof(f3141,plain,
( spl27_238
| ~ spl27_239 ),
inference(avatar_contradiction_clause,[],[f3140]) ).
fof(f3142,plain,
( spl27_241
| ~ spl27_75 ),
inference(avatar_split_clause,[],[f3034,f1244,f3001]) ).
fof(f3143,plain,
( sF3 = sF6
| ~ spl27_241
| ~ spl27_242 ),
inference(forward_demodulation,[],[f3003,f3007]) ).
fof(f3152,plain,
( mem(sK0(sF21,sF26),sF6)
| ~ spl27_75 ),
inference(resolution,[],[f3036,f154]) ).
fof(f3155,plain,
( mem(sK0(sF21,sF26),sF3)
| ~ spl27_75
| ~ spl27_241
| ~ spl27_242 ),
inference(forward_demodulation,[],[f3152,f3143]) ).
fof(f3157,plain,
( $false
| spl27_71
| ~ spl27_75
| ~ spl27_241
| ~ spl27_242 ),
inference(forward_subsumption_resolution,[],[f3155,f1229]) ).
fof(f3158,plain,
( spl27_71
| ~ spl27_75
| ~ spl27_241
| ~ spl27_242 ),
inference(avatar_contradiction_clause,[],[f3157]) ).
fof(f3194,plain,
( ~ mem(sF11,sF25)
| subq(sF21,sF26)
| ~ spl27_243 ),
inference(superposition,[],[f557,f3011]) ).
fof(f3201,plain,
( subq(sF21,sF26)
| ~ spl27_243 ),
inference(forward_subsumption_resolution,[],[f3194,f441]) ).
fof(f3212,plain,
( $false
| ~ spl27_243 ),
inference(forward_subsumption_resolution,[],[f3201,f114]) ).
fof(f3213,plain,
~ spl27_243,
inference(avatar_contradiction_clause,[],[f3212]) ).
fof(f3245,plain,
( ~ mem(sF18,sF19)
| subq(sF21,sF26)
| ~ spl27_244 ),
inference(superposition,[],[f501,f3015]) ).
fof(f3250,plain,
( subq(sF21,sF26)
| ~ spl27_244 ),
inference(forward_subsumption_resolution,[],[f3245,f123]) ).
fof(f3259,plain,
( $false
| ~ spl27_244 ),
inference(forward_subsumption_resolution,[],[f3250,f114]) ).
fof(f3260,plain,
~ spl27_244,
inference(avatar_contradiction_clause,[],[f3259]) ).
cnf(s26,plain,
( spl27_70
| spl27_71
| spl27_72
| spl27_73
| spl27_74
| spl27_75 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s28,plain,
~ spl27_70,
inference(sat_conversion,[],[f1266]) ).
cnf(s30,plain,
~ spl27_71,
inference(sat_conversion,[],[f1294]) ).
cnf(s32,plain,
~ spl27_72,
inference(sat_conversion,[],[f1319]) ).
cnf(s34,plain,
~ spl27_73,
inference(sat_conversion,[],[f1344]) ).
cnf(s78,plain,
( spl27_238
| spl27_239 ),
inference(sat_conversion,[],[f2975]) ).
cnf(s79,plain,
( spl27_231
| ~ spl27_238 ),
inference(sat_conversion,[],[f2980]) ).
cnf(s80,plain,
( ~ spl27_74
| ~ spl27_231 ),
inference(sat_conversion,[],[f2985]) ).
cnf(s84,plain,
( spl27_70
| spl27_74
| spl27_242
| spl27_243
| spl27_244 ),
inference(sat_conversion,[],[f3020]) ).
cnf(s94,plain,
( spl27_238
| ~ spl27_239 ),
inference(sat_conversion,[],[f3141]) ).
cnf(s95,plain,
( ~ spl27_75
| spl27_241 ),
inference(sat_conversion,[],[f3142]) ).
cnf(s96,plain,
( spl27_71
| ~ spl27_75
| ~ spl27_241
| ~ spl27_242 ),
inference(sat_conversion,[],[f3158]) ).
cnf(s99,plain,
~ spl27_243,
inference(sat_conversion,[],[f3213]) ).
cnf(s102,plain,
~ spl27_244,
inference(sat_conversion,[],[f3260]) ).
cnf(s103,plain,
( spl27_70
| spl27_74
| spl27_242 ),
inference(rat,[],[s84,s102,s99]) ).
cnf(s107,plain,
( spl27_74
| spl27_75 ),
inference(rat,[],[s26,s34,s32,s30,s28]) ).
cnf(s108,plain,
( ~ spl27_75
| ~ spl27_242 ),
inference(rat,[],[s95,s96,s30]) ).
cnf(s109,plain,
spl27_74,
inference(rat,[],[s108,s107,s103,s28]) ).
cnf(s111,plain,
~ spl27_231,
inference(rat,[],[s80,s109]) ).
cnf(s113,plain,
~ spl27_238,
inference(rat,[],[s79,s111]) ).
cnf(s114,plain,
~ spl27_239,
inference(rat,[],[s94,s113]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s78,s114,s113]) ).
fof(f3261,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV578+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 06:42:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 9.88/2.20 % (2429488)Detected formulas, will run a generic FOF schedule.
% 9.88/2.20 % (2429498)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2752887691:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.88/2.20 % (2429498)Instruction limit reached!
% 9.88/2.20 % (2429498)------------------------------
% 9.88/2.20 % (2429498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.20 % (2429498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.20 % (2429498)CaDiCaL version: 2.1.3
% 9.88/2.20 % (2429498)Termination reason: Instruction limit
% 9.88/2.20 % (2429498)Termination phase: Saturation
% 9.88/2.20 % (2429498)Time elapsed: 0.037 s
% 9.88/2.20 % (2429498)Peak memory usage: 88 MB
% 9.88/2.20 % (2429498)Instructions burned: 119 (million)
% 9.88/2.20 % (2429500)dis-21_1_sil=8000:lcm=predicate:random_seed=2412338377: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)
% 9.88/2.20 % (2429499)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=153771486:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.88/2.20 % (2429497)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3032733646:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.88/2.20 % (2429496)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=1565995793:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.88/2.20 % (2429495)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=4242083124:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.88/2.20 % (2429494)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=2583996388:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.88/2.20 % (2429497)Refutation not found, incomplete strategy
% 9.88/2.20 % (2429497)------------------------------
% 9.88/2.20 % (2429497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.20 % (2429497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.20 % (2429497)CaDiCaL version: 2.1.3
% 9.88/2.20 % (2429497)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.20 % (2429497)Time elapsed: 0.001 s
% 9.88/2.20 % (2429497)Peak memory usage: 88 MB
% 9.88/2.20 % (2429497)Instructions burned: 1 (million)
% 9.88/2.20 % (2429500)Instruction limit reached!
% 9.88/2.20 % (2429500)------------------------------
% 9.88/2.20 % (2429500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.20 % (2429500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.20 % (2429500)CaDiCaL version: 2.1.3
% 9.88/2.20 % (2429500)Termination reason: Instruction limit
% 9.88/2.20 % (2429500)Termination phase: Saturation
% 9.88/2.20 % (2429500)Time elapsed: 0.069 s
% 9.88/2.20 % (2429500)Peak memory usage: 89 MB
% 9.88/2.20 % (2429500)Instructions burned: 130 (million)
% 9.88/2.20 % (2429508)lrs+10_1_sil=8000:sp=occurrence:random_seed=829776310:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.88/2.20 % (2429499)Instruction limit reached!
% 9.88/2.20 % (2429499)------------------------------
% 9.88/2.20 % (2429499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.20 % (2429499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.20 % (2429499)CaDiCaL version: 2.1.3
% 9.88/2.20 % (2429499)Termination reason: Instruction limit
% 9.88/2.20 % (2429499)Termination phase: Saturation
% 9.88/2.20 % (2429499)Time elapsed: 0.093 s
% 9.88/2.20 % (2429499)Peak memory usage: 89 MB
% 9.88/2.20 % (2429499)Instructions burned: 139 (million)
% 9.88/2.20 % (2429508)Instruction limit reached!
% 9.88/2.20 % (2429508)------------------------------
% 9.88/2.20 % (2429508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.20 % (2429508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.20 % (2429508)CaDiCaL version: 2.1.3
% 9.88/2.20 % (2429508)Termination reason: Instruction limit
% 9.88/2.20 % (2429508)Termination phase: Saturation
% 9.88/2.20 % (2429508)Time elapsed: 0.098 s
% 9.88/2.20 % (2429508)Peak memory usage: 91 MB
% 9.88/2.20 % (2429508)Instructions burned: 287 (million)
% 9.88/2.24 % (2429509)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3321396112:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.88/2.24 % (2429511)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2098113174:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.88/2.24 % (2429497)------------------------------
% 9.88/2.24 % (2429497)------------------------------
% 9.88/2.24 % (2429509)Instruction limit reached!
% 9.88/2.24 % (2429509)------------------------------
% 9.88/2.24 % (2429509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429509)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429509)Termination reason: Instruction limit
% 9.88/2.24 % (2429509)Termination phase: Saturation
% 9.88/2.24 % (2429509)Time elapsed: 0.074 s
% 9.88/2.24 % (2429509)Peak memory usage: 89 MB
% 9.88/2.24 % (2429509)Instructions burned: 158 (million)
% 9.88/2.24 % (2429512)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=2393119605:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.88/2.24 % (2429512)Instruction limit reached!
% 9.88/2.24 % (2429512)------------------------------
% 9.88/2.24 % (2429512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429512)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429512)Termination reason: Instruction limit
% 9.88/2.24 % (2429512)Termination phase: Saturation
% 9.88/2.24 % (2429512)Time elapsed: 0.073 s
% 9.88/2.24 % (2429512)Peak memory usage: 91 MB
% 9.88/2.24 % (2429512)Instructions burned: 252 (million)
% 9.88/2.24 % (2429515)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=506694117:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.88/2.24 % (2429515)Refutation not found, incomplete strategy
% 9.88/2.24 % (2429515)------------------------------
% 9.88/2.24 % (2429515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429515)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429515)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.24 % (2429515)Time elapsed: 0.002 s
% 9.88/2.24 % (2429515)Peak memory usage: 88 MB
% 9.88/2.24 % (2429515)Instructions burned: 1 (million)
% 9.88/2.24 % (2429517)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2427397603:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.88/2.24 % (2429511)Instruction limit reached!
% 9.88/2.24 % (2429511)------------------------------
% 9.88/2.24 % (2429511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429511)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429511)Termination reason: Instruction limit
% 9.88/2.24 % (2429511)Termination phase: Saturation
% 9.88/2.24 % (2429511)Time elapsed: 0.196 s
% 9.88/2.24 % (2429511)Peak memory usage: 90 MB
% 9.88/2.24 % (2429511)Instructions burned: 325 (million)
% 9.88/2.24 % (2429518)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3283696277:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 9.88/2.24 % (2429518)Instruction limit reached!
% 9.88/2.24 % (2429518)------------------------------
% 9.88/2.24 % (2429518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429518)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429518)Termination reason: Instruction limit
% 9.88/2.24 % (2429518)Termination phase: Saturation
% 9.88/2.24 % (2429518)Time elapsed: 0.035 s
% 9.88/2.24 % (2429518)Peak memory usage: 89 MB
% 9.88/2.24 % (2429518)Instructions burned: 116 (million)
% 9.88/2.24 % (2429521)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=766769657:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.88/2.24 % (2429523)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1505399672:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.88/2.24 % (2429523)Instruction limit reached!
% 9.88/2.24 % (2429523)------------------------------
% 9.88/2.24 % (2429523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429523)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429523)Termination reason: Instruction limit
% 9.88/2.24 % (2429523)Termination phase: Saturation
% 9.88/2.24 % (2429523)Time elapsed: 0.039 s
% 9.88/2.24 % (2429523)Peak memory usage: 89 MB
% 9.88/2.24 % (2429523)Instructions burned: 118 (million)
% 9.88/2.24 % (2429521)Instruction limit reached!
% 9.88/2.24 % (2429521)------------------------------
% 9.88/2.24 % (2429521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429521)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429521)Termination reason: Instruction limit
% 9.88/2.24 % (2429521)Termination phase: Saturation
% 9.88/2.24 % (2429521)Time elapsed: 0.057 s
% 9.88/2.24 % (2429521)Peak memory usage: 88 MB
% 9.88/2.24 % (2429521)Instructions burned: 128 (million)
% 9.88/2.24 % (2429515)------------------------------
% 9.88/2.24 % (2429515)------------------------------
% 9.88/2.24 % (2429526)lrs+10_1_sil=8000:sp=occurrence:random_seed=4122433900:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.88/2.24 % (2429527)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2996072653:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 9.88/2.24 % (2429527)Refutation not found, incomplete strategy
% 9.88/2.24 % (2429527)------------------------------
% 9.88/2.24 % (2429527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429527)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429527)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.24 % (2429527)Time elapsed: 0.001 s
% 9.88/2.24 % (2429527)Peak memory usage: 88 MB
% 9.88/2.24 % (2429527)Instructions burned: 1 (million)
% 9.88/2.24 % (2429528)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1000164218:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 9.88/2.24 % (2429494)First to succeed.
% 9.88/2.24 % (2429494)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2429488"
% 9.88/2.24 % (2429526)Instruction limit reached!
% 9.88/2.24 % (2429526)------------------------------
% 9.88/2.24 % (2429526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429526)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429526)Termination reason: Instruction limit
% 9.88/2.24 % (2429526)Termination phase: Saturation
% 9.88/2.24 % (2429526)Time elapsed: 0.304 s
% 9.88/2.24 % (2429526)Peak memory usage: 96 MB
% 9.88/2.24 % (2429526)Instructions burned: 909 (million)
% 9.88/2.24 % (2429527)------------------------------
% 9.88/2.24 % (2429527)------------------------------
% 9.88/2.24 % (2429532)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1248060485:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.88/2.24 % (2429532)Instruction limit reached!
% 9.88/2.24 % (2429532)------------------------------
% 9.88/2.24 % (2429532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429532)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429532)Termination reason: Instruction limit
% 9.88/2.24 % (2429532)Termination phase: Saturation
% 9.88/2.24 % (2429532)Time elapsed: 0.038 s
% 9.88/2.24 % (2429532)Peak memory usage: 89 MB
% 9.88/2.24 % (2429532)Instructions burned: 137 (million)
% 9.88/2.24 % (2429533)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1649493898:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.88/2.24 % (2429533)Refutation not found, incomplete strategy
% 9.88/2.24 % (2429533)------------------------------
% 9.88/2.24 % (2429533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.24 % (2429533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.24 % (2429533)CaDiCaL version: 2.1.3
% 9.88/2.24 % (2429533)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.24 % (2429533)Time elapsed: 0.001 s
% 9.88/2.24 % (2429533)Peak memory usage: 88 MB
% 9.88/2.24 % (2429533)Instructions burned: 1 (million)
% 9.88/2.24 % (2429535)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2535284726:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 9.88/2.24 % (2429494)Refutation found. Thanks to Tanya!
% 9.88/2.24 % SZS status Theorem for theBenchmark
% 9.88/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 10.43/2.43 % (2429494)------------------------------
% 10.43/2.43 % (2429494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.43/2.43 % (2429494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.43/2.43 % (2429494)CaDiCaL version: 2.1.3
% 10.43/2.43 % (2429494)Termination reason: Refutation
% 10.43/2.43 % (2429494)Time elapsed: 0.975 s
% 10.43/2.43 % (2429494)Peak memory usage: 133 MB
% 10.43/2.43 % (2429494)Instructions burned: 1435 (million)
% 10.43/2.43 % (2429494)------------------------------
% 10.43/2.43 % (2429494)------------------------------
% 10.43/2.43 % (2429488)Success in time 1.389 s
% 10.43/2.43 % Vampire exiting
%------------------------------------------------------------------------------