%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV565+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 : n026.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 12:58:21 PM UTC 2026
% Result : Theorem 5.45s 2.14s
% Output : Refutation 9.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 50
% Syntax : Number of formulae : 282 ( 88 unt; 41 def)
% Number of atoms : 555 ( 82 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 488 ( 215 ~; 228 |; 17 &)
% ( 27 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 22 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 21 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 110 !; 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(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).
fof(f7,axiom,
! [X0,X1,X2] :
( mem(X0,m(X1,X2))
<=> ( mem(X0,X1)
& ~ mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_ax) ).
fof(f26,conjecture,
~ subq(u(m(p(u(n(e),n(s(n(e))))),p(p(s(n(e))))),s(n(n(n(e))))),u(a(a(s(n(n(e))),n(s(n(e)))),u(n(e),n(s(n(e))))),s(n(n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_2252_2248) ).
fof(f27,negated_conjecture,
~ ~ subq(u(m(p(u(n(e),n(s(n(e))))),p(p(s(n(e))))),s(n(n(n(e))))),u(a(a(s(n(n(e))),n(s(n(e)))),u(n(e),n(s(n(e))))),s(n(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(m(p(u(n(e),n(s(n(e))))),p(p(s(n(e))))),s(n(n(n(e))))),u(a(a(s(n(n(e))),n(s(n(e)))),u(n(e),n(s(n(e))))),s(n(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(f38,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f45,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
! [X2,X0,X1] :
( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f54,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
subq(u(m(p(u(n(e),n(s(n(e))))),p(p(s(n(e))))),s(n(n(n(e))))),u(a(a(s(n(n(e))),n(s(n(e)))),u(n(e),n(s(n(e))))),s(n(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(m(p(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),p(p(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(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e)))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f58,f59,f59,f59,f59,f59,f59,f59,f54,f54,f59,f59,f59,f59,f59,f59,f59,f59,f59,f59]) ).
fof(f61,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f47]) ).
fof(f62,definition,
sF1 = s(e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f63,plain,
s(e) = sF1,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF2 = u(e,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f65,plain,
u(e,sF1) = sF2,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF3 = s(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
s(sF2) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
u(sF3,sF4) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = u(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
u(sF2,sF5) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = p(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
p(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = p(sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
p(sF3) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = p(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
p(sF8) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = m(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
m(sF7,sF9) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
u(sF2,sF3) = 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(sF11,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
u(sF11,sF12) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = s(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
s(sF13) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = u(sF10,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
u(sF10,sF14) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = s(sF5),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
s(sF5) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = u(sF12,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
u(sF12,sF16) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = s(sF6),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
s(sF6) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = u(sF17,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
u(sF17,sF18) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF20 = u(sF19,sF14),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f101,plain,
u(sF19,sF14) = sF20,
inference(reorient_equations,[],[f100]) ).
fof(f102,plain,
subq(sF15,sF20),
inference(definition_folding,[],[f60,f101,f89,f87,f85,f83,f67,f65,f63,f65,f63,f83,f67,f65,f63,f65,f63,f99,f97,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63,f95,f93,f71,f69,f67,f65,f63,f67,f65,f63,f85,f83,f67,f65,f63,f65,f63,f91,f89,f87,f85,f83,f67,f65,f63,f65,f63,f83,f67,f65,f63,f65,f63,f81,f79,f77,f67,f65,f63,f75,f73,f71,f69,f67,f65,f63,f67,f65,f63,f65,f63]) ).
fof(f103,plain,
mem(e,sF1),
inference(superposition,[],[f61,f63]) ).
fof(f104,plain,
mem(sF2,sF3),
inference(superposition,[],[f61,f67]) ).
fof(f105,plain,
mem(sF3,sF4),
inference(superposition,[],[f61,f69]) ).
fof(f111,plain,
! [X0] :
( ~ subq(X0,sF6)
| mem(X0,sF7) ),
inference(superposition,[],[f57,f75]) ).
fof(f114,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f49,f65]) ).
fof(f117,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF5) ),
inference(superposition,[],[f49,f71]) ).
fof(f119,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF11) ),
inference(superposition,[],[f50,f83]) ).
fof(f120,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF5) ),
inference(superposition,[],[f50,f71]) ).
fof(f127,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF10)
| mem(X0,sF9) ),
inference(superposition,[],[f53,f81]) ).
fof(f134,plain,
! [X0] :
( ~ mem(X0,sF17)
| mem(X0,sF16)
| mem(X0,sF12) ),
inference(superposition,[],[f48,f95]) ).
fof(f135,plain,
! [X0] :
( ~ mem(X0,sF19)
| mem(X0,sF18)
| mem(X0,sF17) ),
inference(superposition,[],[f48,f99]) ).
fof(f136,plain,
! [X0] :
( ~ mem(X0,sF20)
| mem(X0,sF14)
| mem(X0,sF19) ),
inference(superposition,[],[f48,f101]) ).
fof(f140,plain,
mem(e,sF2),
inference(resolution,[],[f103,f114]) ).
fof(f143,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f46,f67]) ).
fof(f145,plain,
! [X0] :
( ~ mem(X0,sF16)
| sF5 = X0 ),
inference(superposition,[],[f46,f93]) ).
fof(f146,plain,
! [X0] :
( ~ mem(X0,sF18)
| sF6 = X0 ),
inference(superposition,[],[f46,f97]) ).
fof(f147,plain,
! [X0] :
( ~ mem(X0,sF12)
| sF11 = X0 ),
inference(superposition,[],[f46,f85]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF14)
| sF13 = X0 ),
inference(superposition,[],[f46,f89]) ).
fof(f162,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF6) ),
inference(superposition,[],[f50,f73]) ).
fof(f163,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f49,f73]) ).
fof(f164,plain,
mem(sF3,sF5),
inference(resolution,[],[f105,f117]) ).
fof(f166,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF13) ),
inference(superposition,[],[f50,f87]) ).
fof(f168,plain,
mem(sF2,sF5),
inference(resolution,[],[f104,f120]) ).
fof(f183,plain,
mem(e,sF6),
inference(resolution,[],[f140,f162]) ).
fof(f185,plain,
mem(e,sF11),
inference(resolution,[],[f140,f119]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( ~ subq(u(X2,X3),X1)
| mem(X0,X1)
| ~ mem(X0,X2) ),
inference(resolution,[],[f41,f50]) ).
fof(f194,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f41,f140]) ).
fof(f197,plain,
! [X0] :
( ~ subq(sF3,X0)
| mem(sF2,X0) ),
inference(resolution,[],[f41,f104]) ).
fof(f203,plain,
mem(e,sF13),
inference(resolution,[],[f166,f185]) ).
fof(f211,plain,
mem(sF2,sF6),
inference(resolution,[],[f168,f163]) ).
fof(f250,plain,
! [X0] :
( ~ mem(X0,sF8)
| subq(X0,sF3) ),
inference(superposition,[],[f56,f77]) ).
fof(f252,plain,
! [X0] :
( ~ mem(X0,sF9)
| subq(X0,sF8) ),
inference(superposition,[],[f56,f79]) ).
fof(f265,plain,
! [X0] :
( subq(sF3,X0)
| sF2 = sK0(sF3,X0) ),
inference(resolution,[],[f42,f143]) ).
fof(f345,plain,
! [X0,X1] :
( ~ mem(X1,sF10)
| mem(X1,X0)
| ~ subq(sF15,X0) ),
inference(superposition,[],[f189,f91]) ).
fof(f517,definition,
( spl21_4
<=> sF3 = sF11 ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f518,plain,
( sF3 != sF11
| spl21_4 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( sF3 = sF11
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f701,definition,
( spl21_27
<=> mem(sF2,sF8) ),
introduced(definition,[new_symbols(definition,[spl21_27])],[avatar_definition]) ).
fof(f702,plain,
( ~ mem(sF2,sF8)
| spl21_27 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f703,plain,
( mem(sF2,sF8)
| ~ spl21_27 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f710,definition,
( spl21_29
<=> e = sF2 ),
introduced(definition,[new_symbols(definition,[spl21_29])],[avatar_definition]) ).
fof(f711,plain,
( e != sF2
| spl21_29 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( e = sF2
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f718,plain,
( ! [X0] : ~ mem(X0,sF2)
| ~ spl21_29 ),
inference(superposition,[],[f45,f712]) ).
fof(f722,plain,
( mem(sF2,sF2)
| ~ spl21_29 ),
inference(superposition,[],[f140,f712]) ).
fof(f952,definition,
( spl21_32
<=> mem(sF3,sF20) ),
introduced(definition,[new_symbols(definition,[spl21_32])],[avatar_definition]) ).
fof(f953,plain,
( ~ mem(sF3,sF20)
| spl21_32 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f954,plain,
( mem(sF3,sF20)
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f965,definition,
( spl21_35
<=> mem(sF3,sF19) ),
introduced(definition,[new_symbols(definition,[spl21_35])],[avatar_definition]) ).
fof(f967,plain,
( mem(sF3,sF19)
| ~ spl21_35 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f970,definition,
( spl21_36
<=> sF3 = sF6 ),
introduced(definition,[new_symbols(definition,[spl21_36])],[avatar_definition]) ).
fof(f971,plain,
( sF3 != sF6
| spl21_36 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f972,plain,
( sF3 = sF6
| ~ spl21_36 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f985,definition,
( spl21_39
<=> mem(sF3,sF17) ),
introduced(definition,[new_symbols(definition,[spl21_39])],[avatar_definition]) ).
fof(f986,plain,
( ~ mem(sF3,sF17)
| spl21_39 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f987,plain,
( mem(sF3,sF17)
| ~ spl21_39 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f990,definition,
( spl21_40
<=> sF3 = sF5 ),
introduced(definition,[new_symbols(definition,[spl21_40])],[avatar_definition]) ).
fof(f991,plain,
( sF3 != sF5
| spl21_40 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f992,plain,
( sF3 = sF5
| ~ spl21_40 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1000,definition,
( spl21_42
<=> sF3 = sF13 ),
introduced(definition,[new_symbols(definition,[spl21_42])],[avatar_definition]) ).
fof(f1001,plain,
( sF3 != sF13
| spl21_42 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1002,plain,
( sF3 = sF13
| ~ spl21_42 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1012,definition,
( spl21_44
<=> ! [X0] :
( mem(sF3,X0)
| ~ subq(sF15,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_44])],[avatar_definition]) ).
fof(f1013,plain,
( ! [X0] :
( ~ subq(sF15,X0)
| mem(sF3,X0) )
| ~ spl21_44 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1032,definition,
( spl21_47
<=> mem(sF3,sF14) ),
introduced(definition,[new_symbols(definition,[spl21_47])],[avatar_definition]) ).
fof(f1033,plain,
( ~ mem(sF3,sF14)
| spl21_47 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1034,plain,
( mem(sF3,sF14)
| ~ spl21_47 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1037,definition,
( spl21_48
<=> mem(sF3,sF18) ),
introduced(definition,[new_symbols(definition,[spl21_48])],[avatar_definition]) ).
fof(f1039,plain,
( mem(sF3,sF18)
| ~ spl21_48 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1042,definition,
( spl21_49
<=> mem(sF3,sF16) ),
introduced(definition,[new_symbols(definition,[spl21_49])],[avatar_definition]) ).
fof(f1044,plain,
( mem(sF3,sF16)
| ~ spl21_49 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1046,definition,
( spl21_50
<=> mem(sF3,sF12) ),
introduced(definition,[new_symbols(definition,[spl21_50])],[avatar_definition]) ).
fof(f1047,plain,
( ~ mem(sF3,sF12)
| spl21_50 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1048,plain,
( mem(sF3,sF12)
| ~ spl21_50 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1055,definition,
( spl21_52
<=> mem(sF3,sF10) ),
introduced(definition,[new_symbols(definition,[spl21_52])],[avatar_definition]) ).
fof(f1056,plain,
( ~ mem(sF3,sF10)
| spl21_52 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1057,plain,
( mem(sF3,sF10)
| ~ spl21_52 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1174,definition,
( spl21_77
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl21_77])],[avatar_definition]) ).
fof(f1175,plain,
( ~ mem(e,sF3)
| spl21_77 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1176,plain,
( mem(e,sF3)
| ~ spl21_77 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1226,plain,
( e = sF2
| ~ spl21_77 ),
inference(resolution,[],[f1176,f143]) ).
fof(f1231,plain,
( $false
| spl21_29
| ~ spl21_77 ),
inference(forward_subsumption_resolution,[],[f1226,f711]) ).
fof(f1232,plain,
( spl21_29
| ~ spl21_77 ),
inference(avatar_contradiction_clause,[],[f1231]) ).
fof(f1254,plain,
( subq(sF2,sF3)
| ~ spl21_27 ),
inference(resolution,[],[f703,f250]) ).
fof(f1296,plain,
( mem(e,sF3)
| ~ spl21_27 ),
inference(resolution,[],[f1254,f194]) ).
fof(f1304,definition,
( spl21_84
<=> sF2 = sF3 ),
introduced(definition,[new_symbols(definition,[spl21_84])],[avatar_definition]) ).
fof(f1306,plain,
( sF2 = sF3
| ~ spl21_84 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1308,plain,
( $false
| ~ spl21_27
| spl21_77 ),
inference(forward_subsumption_resolution,[],[f1296,f1175]) ).
fof(f1309,plain,
( ~ spl21_27
| spl21_77 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
fof(f1601,plain,
( $false
| ~ spl21_29 ),
inference(forward_subsumption_resolution,[],[f722,f718]) ).
fof(f1602,plain,
~ spl21_29,
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1836,plain,
( mem(sF3,sF16)
| mem(sF3,sF12)
| ~ spl21_39 ),
inference(resolution,[],[f987,f134]) ).
fof(f1838,plain,
( mem(sF3,sF16)
| ~ spl21_39
| spl21_50 ),
inference(forward_subsumption_resolution,[],[f1836,f1047]) ).
fof(f1841,plain,
( spl21_49
| ~ spl21_39
| spl21_50 ),
inference(avatar_split_clause,[],[f1838,f1046,f985,f1042]) ).
fof(f1842,plain,
( sF3 = sF5
| ~ spl21_49 ),
inference(resolution,[],[f1044,f145]) ).
fof(f1845,plain,
( $false
| spl21_40
| ~ spl21_49 ),
inference(forward_subsumption_resolution,[],[f1842,f991]) ).
fof(f1846,plain,
( spl21_40
| ~ spl21_49 ),
inference(avatar_contradiction_clause,[],[f1845]) ).
fof(f1847,plain,
( sF3 = sF11
| ~ spl21_50 ),
inference(resolution,[],[f1048,f147]) ).
fof(f1851,plain,
( $false
| spl21_4
| ~ spl21_50 ),
inference(forward_subsumption_resolution,[],[f1847,f518]) ).
fof(f1852,plain,
( spl21_4
| ~ spl21_50 ),
inference(avatar_contradiction_clause,[],[f1851]) ).
fof(f1861,plain,
( mem(e,sF3)
| ~ spl21_4 ),
inference(superposition,[],[f185,f519]) ).
fof(f1870,plain,
( $false
| ~ spl21_4
| spl21_77 ),
inference(forward_subsumption_resolution,[],[f1861,f1175]) ).
fof(f1871,plain,
( ~ spl21_4
| spl21_77 ),
inference(avatar_contradiction_clause,[],[f1870]) ).
fof(f1875,plain,
( mem(sF3,sF18)
| mem(sF3,sF17)
| ~ spl21_35 ),
inference(resolution,[],[f967,f135]) ).
fof(f1877,plain,
( mem(sF3,sF18)
| ~ spl21_35
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f1875,f986]) ).
fof(f1880,plain,
( spl21_48
| ~ spl21_35
| spl21_39 ),
inference(avatar_split_clause,[],[f1877,f985,f965,f1037]) ).
fof(f1881,plain,
( sF3 = sF6
| ~ spl21_48 ),
inference(resolution,[],[f1039,f146]) ).
fof(f1884,plain,
( $false
| spl21_36
| ~ spl21_48 ),
inference(forward_subsumption_resolution,[],[f1881,f971]) ).
fof(f1885,plain,
( spl21_36
| ~ spl21_48 ),
inference(avatar_contradiction_clause,[],[f1884]) ).
fof(f1901,plain,
( mem(sF3,sF14)
| mem(sF3,sF19)
| ~ spl21_32 ),
inference(resolution,[],[f954,f136]) ).
fof(f1903,plain,
( mem(sF3,sF19)
| ~ spl21_32
| spl21_47 ),
inference(forward_subsumption_resolution,[],[f1901,f1033]) ).
fof(f1910,plain,
( sF3 = sF13
| ~ spl21_47 ),
inference(resolution,[],[f1034,f148]) ).
fof(f1912,plain,
( $false
| spl21_42
| ~ spl21_47 ),
inference(forward_subsumption_resolution,[],[f1910,f1001]) ).
fof(f1913,plain,
( spl21_42
| ~ spl21_47 ),
inference(avatar_contradiction_clause,[],[f1912]) ).
fof(f2281,plain,
( mem(e,sF3)
| ~ spl21_42 ),
inference(superposition,[],[f203,f1002]) ).
fof(f2287,plain,
( $false
| ~ spl21_42
| spl21_77 ),
inference(forward_subsumption_resolution,[],[f2281,f1175]) ).
fof(f2288,plain,
( ~ spl21_42
| spl21_77 ),
inference(avatar_contradiction_clause,[],[f2287]) ).
fof(f2301,plain,
( mem(sF3,sF20)
| ~ spl21_44 ),
inference(resolution,[],[f1013,f102]) ).
fof(f2309,plain,
( $false
| spl21_32
| ~ spl21_44 ),
inference(forward_subsumption_resolution,[],[f2301,f953]) ).
fof(f2310,plain,
( spl21_32
| ~ spl21_44 ),
inference(avatar_contradiction_clause,[],[f2309]) ).
fof(f2405,definition,
( spl21_118
<=> mem(sF3,sF3) ),
introduced(definition,[new_symbols(definition,[spl21_118])],[avatar_definition]) ).
fof(f2406,plain,
( ~ mem(sF3,sF3)
| spl21_118 ),
inference(avatar_component_clause,[],[f2405]) ).
fof(f2407,plain,
( mem(sF3,sF3)
| ~ spl21_118 ),
inference(avatar_component_clause,[],[f2405]) ).
fof(f2440,plain,
( sF2 = sF3
| ~ spl21_118 ),
inference(resolution,[],[f2407,f143]) ).
fof(f2444,plain,
( spl21_84
| ~ spl21_118 ),
inference(avatar_split_clause,[],[f2440,f2405,f1304]) ).
fof(f2622,plain,
( sF2 = sK0(sF3,sF6)
| mem(sF3,sF7) ),
inference(resolution,[],[f265,f111]) ).
fof(f2628,definition,
( spl21_129
<=> mem(sF3,sF7) ),
introduced(definition,[new_symbols(definition,[spl21_129])],[avatar_definition]) ).
fof(f2629,plain,
( ~ mem(sF3,sF7)
| spl21_129 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f2630,plain,
( mem(sF3,sF7)
| ~ spl21_129 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f2632,definition,
( spl21_130
<=> sF2 = sK0(sF3,sF6) ),
introduced(definition,[new_symbols(definition,[spl21_130])],[avatar_definition]) ).
fof(f2634,plain,
( sF2 = sK0(sF3,sF6)
| ~ spl21_130 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f2635,plain,
( spl21_129
| spl21_130 ),
inference(avatar_split_clause,[],[f2622,f2632,f2628]) ).
fof(f2639,plain,
( mem(sF3,sF10)
| mem(sF3,sF9)
| ~ spl21_129 ),
inference(resolution,[],[f2630,f127]) ).
fof(f2641,plain,
( mem(sF3,sF9)
| spl21_52
| ~ spl21_129 ),
inference(forward_subsumption_resolution,[],[f2639,f1056]) ).
fof(f2643,definition,
( spl21_131
<=> mem(sF3,sF9) ),
introduced(definition,[new_symbols(definition,[spl21_131])],[avatar_definition]) ).
fof(f2645,plain,
( mem(sF3,sF9)
| ~ spl21_131 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f2650,plain,
( spl21_131
| spl21_52
| ~ spl21_129 ),
inference(avatar_split_clause,[],[f2641,f2628,f1055,f2643]) ).
fof(f2651,plain,
( subq(sF3,sF8)
| ~ spl21_131 ),
inference(resolution,[],[f2645,f252]) ).
fof(f2873,plain,
( mem(e,sF3)
| ~ spl21_84 ),
inference(superposition,[],[f140,f1306]) ).
fof(f2920,plain,
( $false
| spl21_77
| ~ spl21_84 ),
inference(forward_subsumption_resolution,[],[f2873,f1175]) ).
fof(f2921,plain,
( spl21_77
| ~ spl21_84 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2997,plain,
( ! [X0] :
( mem(sF3,X0)
| ~ subq(sF15,X0) )
| ~ spl21_52 ),
inference(resolution,[],[f1057,f345]) ).
fof(f3006,plain,
( spl21_44
| ~ spl21_52 ),
inference(avatar_split_clause,[],[f2997,f1055,f1012]) ).
fof(f3173,plain,
( mem(sF2,sF8)
| ~ spl21_131 ),
inference(resolution,[],[f2651,f197]) ).
fof(f3185,plain,
( $false
| spl21_27
| ~ spl21_131 ),
inference(forward_subsumption_resolution,[],[f3173,f702]) ).
fof(f3186,plain,
( spl21_27
| ~ spl21_131 ),
inference(avatar_contradiction_clause,[],[f3185]) ).
fof(f3192,plain,
( ~ mem(sF2,sF6)
| subq(sF3,sF6)
| ~ spl21_130 ),
inference(superposition,[],[f43,f2634]) ).
fof(f3194,plain,
( subq(sF3,sF6)
| ~ spl21_130 ),
inference(forward_subsumption_resolution,[],[f3192,f211]) ).
fof(f3196,plain,
( mem(sF3,sF7)
| ~ spl21_130 ),
inference(resolution,[],[f3194,f111]) ).
fof(f3199,plain,
( $false
| spl21_129
| ~ spl21_130 ),
inference(forward_subsumption_resolution,[],[f3196,f2629]) ).
fof(f3200,plain,
( spl21_129
| ~ spl21_130 ),
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3201,plain,
( spl21_35
| ~ spl21_32
| spl21_47 ),
inference(avatar_split_clause,[],[f1903,f1032,f952,f965]) ).
fof(f3213,plain,
( mem(sF3,sF3)
| ~ spl21_40 ),
inference(superposition,[],[f164,f992]) ).
fof(f3229,plain,
( $false
| ~ spl21_40
| spl21_118 ),
inference(forward_subsumption_resolution,[],[f3213,f2406]) ).
fof(f3230,plain,
( ~ spl21_40
| spl21_118 ),
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3239,plain,
( mem(e,sF3)
| ~ spl21_36 ),
inference(superposition,[],[f183,f972]) ).
fof(f3259,plain,
( $false
| ~ spl21_36
| spl21_77 ),
inference(forward_subsumption_resolution,[],[f3239,f1175]) ).
fof(f3260,plain,
( ~ spl21_36
| spl21_77 ),
inference(avatar_contradiction_clause,[],[f3259]) ).
cnf(s72,plain,
( spl21_29
| ~ spl21_77 ),
inference(sat_conversion,[],[f1232]) ).
cnf(s82,plain,
( ~ spl21_27
| spl21_77 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s113,plain,
~ spl21_29,
inference(sat_conversion,[],[f1602]) ).
cnf(s145,plain,
( ~ spl21_39
| spl21_49
| spl21_50 ),
inference(sat_conversion,[],[f1841]) ).
cnf(s146,plain,
( spl21_40
| ~ spl21_49 ),
inference(sat_conversion,[],[f1846]) ).
cnf(s147,plain,
( spl21_4
| ~ spl21_50 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s149,plain,
( ~ spl21_4
| spl21_77 ),
inference(sat_conversion,[],[f1871]) ).
cnf(s151,plain,
( ~ spl21_35
| spl21_39
| spl21_48 ),
inference(sat_conversion,[],[f1880]) ).
cnf(s152,plain,
( spl21_36
| ~ spl21_48 ),
inference(sat_conversion,[],[f1885]) ).
cnf(s155,plain,
( spl21_42
| ~ spl21_47 ),
inference(sat_conversion,[],[f1913]) ).
cnf(s164,plain,
( ~ spl21_42
| spl21_77 ),
inference(sat_conversion,[],[f2288]) ).
cnf(s167,plain,
( spl21_32
| ~ spl21_44 ),
inference(sat_conversion,[],[f2310]) ).
cnf(s177,plain,
( spl21_84
| ~ spl21_118 ),
inference(sat_conversion,[],[f2444]) ).
cnf(s189,plain,
( spl21_129
| spl21_130 ),
inference(sat_conversion,[],[f2635]) ).
cnf(s191,plain,
( spl21_52
| ~ spl21_129
| spl21_131 ),
inference(sat_conversion,[],[f2650]) ).
cnf(s227,plain,
( spl21_77
| ~ spl21_84 ),
inference(sat_conversion,[],[f2921]) ).
cnf(s252,plain,
( spl21_44
| ~ spl21_52 ),
inference(sat_conversion,[],[f3006]) ).
cnf(s262,plain,
( spl21_27
| ~ spl21_131 ),
inference(sat_conversion,[],[f3186]) ).
cnf(s263,plain,
( spl21_129
| ~ spl21_130 ),
inference(sat_conversion,[],[f3200]) ).
cnf(s264,plain,
( ~ spl21_32
| spl21_35
| spl21_47 ),
inference(sat_conversion,[],[f3201]) ).
cnf(s268,plain,
( ~ spl21_40
| spl21_118 ),
inference(sat_conversion,[],[f3230]) ).
cnf(s273,plain,
( ~ spl21_36
| spl21_77 ),
inference(sat_conversion,[],[f3260]) ).
cnf(s277,plain,
~ spl21_77,
inference(rat,[],[s72,s113]) ).
cnf(s278,plain,
~ spl21_36,
inference(rat,[],[s273,s277]) ).
cnf(s279,plain,
~ spl21_84,
inference(rat,[],[s227,s277]) ).
cnf(s280,plain,
~ spl21_42,
inference(rat,[],[s164,s277]) ).
cnf(s281,plain,
~ spl21_4,
inference(rat,[],[s149,s277]) ).
cnf(s283,plain,
~ spl21_27,
inference(rat,[],[s82,s277]) ).
cnf(s284,plain,
~ spl21_48,
inference(rat,[],[s152,s278]) ).
cnf(s286,plain,
~ spl21_118,
inference(rat,[],[s177,s279]) ).
cnf(s287,plain,
~ spl21_47,
inference(rat,[],[s155,s280]) ).
cnf(s288,plain,
~ spl21_50,
inference(rat,[],[s147,s281]) ).
cnf(s290,plain,
~ spl21_131,
inference(rat,[],[s262,s283]) ).
cnf(s292,plain,
~ spl21_40,
inference(rat,[],[s268,s286]) ).
cnf(s293,plain,
~ spl21_49,
inference(rat,[],[s146,s292]) ).
cnf(s295,plain,
~ spl21_39,
inference(rat,[],[s145,s288,s293]) ).
cnf(s296,plain,
~ spl21_35,
inference(rat,[],[s151,s284,s295]) ).
cnf(s297,plain,
~ spl21_32,
inference(rat,[],[s264,s287,s296]) ).
cnf(s298,plain,
~ spl21_44,
inference(rat,[],[s167,s297]) ).
cnf(s300,plain,
~ spl21_52,
inference(rat,[],[s252,s298]) ).
cnf(s301,plain,
~ spl21_129,
inference(rat,[],[s191,s290,s300]) ).
cnf(s303,plain,
~ spl21_130,
inference(rat,[],[s263,s301]) ).
cnf(s304,plain,
$false,
inference(rat,[],[s189,s303,s301]) ).
fof(f3263,plain,
$false,
inference(avatar_sat_refutation,[],[s304]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV565+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n026.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 06:38:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 5.45/2.14 % (3654291)Detected formulas, will run a generic FOF schedule.
% 5.45/2.14 % (3654302)dis-21_1_sil=8000:lcm=predicate:random_seed=766115448: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)
% 5.45/2.14 % (3654299)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=71351094:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.45/2.14 % (3654300)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=280130217:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.45/2.14 % (3654296)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=217077217:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.45/2.14 % (3654297)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=4041553847:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.45/2.14 % (3654301)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2862287403:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.45/2.14 % (3654298)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=1274358648:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.45/2.14 % (3654302)Instruction limit reached!
% 5.45/2.14 % (3654302)------------------------------
% 5.45/2.14 % (3654302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654302)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654302)Termination reason: Instruction limit
% 5.45/2.14 % (3654302)Termination phase: Saturation
% 5.45/2.14 % (3654302)Time elapsed: 0.038 s
% 5.45/2.14 % (3654302)Peak memory usage: 89 MB
% 5.45/2.14 % (3654302)Instructions burned: 131 (million)
% 5.45/2.14 % (3654299)Refutation not found, incomplete strategy
% 5.45/2.14 % (3654299)------------------------------
% 5.45/2.14 % (3654299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654299)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654299)Termination reason: Refutation not found, incomplete strategy
% 5.45/2.14 % (3654299)Time elapsed: 0.001 s
% 5.45/2.14 % (3654299)Peak memory usage: 88 MB
% 5.45/2.14 % (3654299)Instructions burned: 1 (million)
% 5.45/2.14 % (3654300)Instruction limit reached!
% 5.45/2.14 % (3654300)------------------------------
% 5.45/2.14 % (3654300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654300)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654300)Termination reason: Instruction limit
% 5.45/2.14 % (3654300)Termination phase: Saturation
% 5.45/2.14 % (3654300)Time elapsed: 0.072 s
% 5.45/2.14 % (3654300)Peak memory usage: 89 MB
% 5.45/2.14 % (3654300)Instructions burned: 119 (million)
% 5.45/2.14 % (3654310)lrs+10_1_sil=8000:sp=occurrence:random_seed=2925994729:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.45/2.14 % (3654301)Instruction limit reached!
% 5.45/2.14 % (3654301)------------------------------
% 5.45/2.14 % (3654301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654301)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654301)Termination reason: Instruction limit
% 5.45/2.14 % (3654301)Termination phase: Saturation
% 5.45/2.14 % (3654301)Time elapsed: 0.099 s
% 5.45/2.14 % (3654301)Peak memory usage: 89 MB
% 5.45/2.14 % (3654301)Instructions burned: 139 (million)
% 5.45/2.14 % (3654310)Instruction limit reached!
% 5.45/2.14 % (3654310)------------------------------
% 5.45/2.14 % (3654310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654310)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654310)Termination reason: Instruction limit
% 5.45/2.14 % (3654310)Termination phase: Saturation
% 5.45/2.14 % (3654310)Time elapsed: 0.089 s
% 5.45/2.14 % (3654310)Peak memory usage: 92 MB
% 5.45/2.14 % (3654310)Instructions burned: 289 (million)
% 5.45/2.14 % (3654311)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1313759615:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.45/2.14 % (3654313)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2471070403:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.45/2.14 % (3654299)------------------------------
% 5.45/2.14 % (3654299)------------------------------
% 5.45/2.14 % (3654314)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=937722244:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.45/2.14 % (3654311)Instruction limit reached!
% 5.45/2.14 % (3654311)------------------------------
% 5.45/2.14 % (3654311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654311)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654311)Termination reason: Instruction limit
% 5.45/2.14 % (3654311)Termination phase: Saturation
% 5.45/2.14 % (3654311)Time elapsed: 0.083 s
% 5.45/2.14 % (3654311)Peak memory usage: 90 MB
% 5.45/2.14 % (3654311)Instructions burned: 158 (million)
% 5.45/2.14 % (3654314)Instruction limit reached!
% 5.45/2.14 % (3654314)------------------------------
% 5.45/2.14 % (3654314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654314)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654314)Termination reason: Instruction limit
% 5.45/2.14 % (3654314)Termination phase: Saturation
% 5.45/2.14 % (3654314)Time elapsed: 0.075 s
% 5.45/2.14 % (3654314)Peak memory usage: 91 MB
% 5.45/2.14 % (3654314)Instructions burned: 249 (million)
% 5.45/2.14 % (3654317)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=560148189:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.45/2.14 % (3654317)Refutation not found, incomplete strategy
% 5.45/2.14 % (3654317)------------------------------
% 5.45/2.14 % (3654317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654317)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654317)Termination reason: Refutation not found, incomplete strategy
% 5.45/2.14 % (3654317)Time elapsed: 0.002 s
% 5.45/2.14 % (3654317)Peak memory usage: 88 MB
% 5.45/2.14 % (3654317)Instructions burned: 1 (million)
% 5.45/2.14 % (3654319)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2459025302:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.45/2.14 % (3654320)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1608894159:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.45/2.14 % (3654313)Instruction limit reached!
% 5.45/2.14 % (3654313)------------------------------
% 5.45/2.14 % (3654313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654313)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654313)Termination reason: Instruction limit
% 5.45/2.14 % (3654313)Termination phase: Saturation
% 5.45/2.14 % (3654313)Time elapsed: 0.193 s
% 5.45/2.14 % (3654313)Peak memory usage: 91 MB
% 5.45/2.14 % (3654313)Instructions burned: 327 (million)
% 5.45/2.14 % (3654320)Instruction limit reached!
% 5.45/2.14 % (3654320)------------------------------
% 5.45/2.14 % (3654320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654320)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654320)Termination reason: Instruction limit
% 5.45/2.14 % (3654320)Termination phase: Saturation
% 5.45/2.14 % (3654320)Time elapsed: 0.036 s
% 5.45/2.14 % (3654320)Peak memory usage: 89 MB
% 5.45/2.14 % (3654320)Instructions burned: 116 (million)
% 5.45/2.14 % (3654325)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=971331529:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.45/2.14 % (3654324)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=344456891:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.45/2.14 % (3654325)Instruction limit reached!
% 5.45/2.14 % (3654325)------------------------------
% 5.45/2.14 % (3654325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654325)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654325)Termination reason: Instruction limit
% 5.45/2.14 % (3654325)Termination phase: Saturation
% 5.45/2.14 % (3654325)Time elapsed: 0.029 s
% 5.45/2.14 % (3654325)Peak memory usage: 88 MB
% 5.45/2.14 % (3654325)Instructions burned: 117 (million)
% 5.45/2.14 % (3654317)------------------------------
% 5.45/2.14 % (3654317)------------------------------
% 5.45/2.14 % (3654324)Instruction limit reached!
% 5.45/2.14 % (3654324)------------------------------
% 5.45/2.14 % (3654324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654324)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654324)Termination reason: Instruction limit
% 5.45/2.14 % (3654324)Termination phase: Saturation
% 5.45/2.14 % (3654324)Time elapsed: 0.060 s
% 5.45/2.14 % (3654324)Peak memory usage: 88 MB
% 5.45/2.14 % (3654324)Instructions burned: 129 (million)
% 5.45/2.14 % (3654328)lrs+10_1_sil=8000:sp=occurrence:random_seed=3410119028:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.45/2.14 % (3654329)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3178359555:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.45/2.14 % (3654329)Refutation not found, incomplete strategy
% 5.45/2.14 % (3654329)------------------------------
% 5.45/2.14 % (3654329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654329)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654329)Termination reason: Refutation not found, incomplete strategy
% 5.45/2.14 % (3654329)Time elapsed: 0.001 s
% 5.45/2.14 % (3654329)Peak memory usage: 88 MB
% 5.45/2.14 % (3654329)Instructions burned: 1 (million)
% 5.45/2.14 % (3654330)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2178965381:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.45/2.14 % (3654296)First to succeed.
% 5.45/2.14 % (3654296)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3654291"
% 5.45/2.14 % (3654328)Instruction limit reached!
% 5.45/2.14 % (3654328)------------------------------
% 5.45/2.14 % (3654328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654328)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654328)Termination reason: Instruction limit
% 5.45/2.14 % (3654328)Termination phase: Saturation
% 5.45/2.14 % (3654328)Time elapsed: 0.275 s
% 5.45/2.14 % (3654328)Peak memory usage: 95 MB
% 5.45/2.14 % (3654328)Instructions burned: 909 (million)
% 5.45/2.14 % (3654329)------------------------------
% 5.45/2.14 % (3654329)------------------------------
% 5.45/2.14 % (3654334)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1710626830:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 5.45/2.14 % (3654334)Instruction limit reached!
% 5.45/2.14 % (3654334)------------------------------
% 5.45/2.14 % (3654334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654334)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654334)Termination reason: Instruction limit
% 5.45/2.14 % (3654334)Termination phase: Saturation
% 5.45/2.14 % (3654334)Time elapsed: 0.039 s
% 5.45/2.14 % (3654334)Peak memory usage: 90 MB
% 5.45/2.14 % (3654334)Instructions burned: 137 (million)
% 5.45/2.14 % (3654335)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1712972698:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 5.45/2.14 % (3654335)Refutation not found, incomplete strategy
% 5.45/2.14 % (3654335)------------------------------
% 5.45/2.14 % (3654335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/2.14 % (3654335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/2.14 % (3654335)CaDiCaL version: 2.1.3
% 5.45/2.14 % (3654335)Termination reason: Refutation not found, incomplete strategy
% 5.45/2.14 % (3654335)Time elapsed: 0.002 s
% 5.45/2.14 % (3654335)Peak memory usage: 88 MB
% 5.45/2.14 % (3654335)Instructions burned: 1 (million)
% 5.45/2.14 % (3654296)Refutation found. Thanks to Tanya!
% 5.45/2.14 % SZS status Theorem for theBenchmark
% 5.45/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.75/2.34 % (3654296)------------------------------
% 9.75/2.34 % (3654296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.34 % (3654296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.34 % (3654296)CaDiCaL version: 2.1.3
% 9.75/2.34 % (3654296)Termination reason: Refutation
% 9.75/2.34 % (3654296)Time elapsed: 0.884 s
% 9.75/2.34 % (3654296)Peak memory usage: 132 MB
% 9.75/2.34 % (3654296)Instructions burned: 1290 (million)
% 9.75/2.34 % (3654296)------------------------------
% 9.75/2.34 % (3654296)------------------------------
% 9.75/2.34 % (3654291)Success in time 1.29 s
% 9.75/2.34 % Vampire exiting
%------------------------------------------------------------------------------