%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV538+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:57:56 PM UTC 2026
% Result : Theorem 5.78s 1.79s
% Output : Refutation 7.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 42
% Syntax : Number of formulae : 272 ( 86 unt; 31 def)
% Number of atoms : 524 ( 79 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 455 ( 203 ~; 204 |; 18 &)
% ( 25 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 19 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 129 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3p_def) ).
fof(f26,conjecture,
atleast3p(u(a(s(n(e)),s(s(n(e)))),a(p(s(n(n(e)))),n(n(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3_2323) ).
fof(f27,negated_conjecture,
~ atleast3p(u(a(s(n(e)),s(s(n(e)))),a(p(s(n(n(e)))),n(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ atleast3p(u(a(s(n(e)),s(s(n(e)))),a(p(s(n(n(e)))),n(n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) )
=> atleast3p(X0) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) )
=> atleast2p(X0) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f31,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( atleast2p(X0)
| ! [X1] :
( ~ mem(X1,X0)
| subq(X0,p(X1)) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f35,plain,
! [X0] :
( atleast3p(X0)
| ! [X1] :
( ~ subq(X1,X0)
| ~ atleast2p(X1)
| subq(X0,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f36,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,[],[f31]) ).
fof(f37,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,[],[f36]) ).
fof(f38,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))],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f41,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,[],[f40]) ).
fof(f44,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f45,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f46,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f47,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f48,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f50,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f51,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f59,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X0,X1] :
( subq(X0,p(X1))
| ~ mem(X1,X0)
| atleast2p(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f63,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| atleast3p(X0)
| ~ atleast2p(X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
~ atleast3p(u(a(s(n(e)),s(s(n(e)))),a(p(s(n(n(e)))),n(n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f59,f58]) ).
fof(f66,plain,
~ atleast3p(u(u(s(u(e,s(e))),s(s(s(u(e,s(e)))))),u(p(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(definition_unfolding,[],[f64,f58,f65,f65,f58,f65,f65,f65,f65,f65]) ).
fof(f67,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f51]) ).
fof(f68,definition,
sF1 = s(e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f69,plain,
s(e) = sF1,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF2 = u(e,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f71,plain,
u(e,sF1) = sF2,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF3 = s(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f73,plain,
s(sF2) = sF3,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f75,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF5 = s(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f77,plain,
s(sF4) = sF5,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF6 = u(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f79,plain,
u(sF3,sF5) = sF6,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF7 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f81,plain,
u(sF2,sF3) = sF7,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF8 = s(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f83,plain,
s(sF7) = sF8,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF9 = p(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f85,plain,
p(sF8) = sF9,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF10 = u(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f87,plain,
u(sF7,sF8) = sF10,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF11 = s(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f89,plain,
s(sF10) = sF11,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF12 = u(sF9,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f91,plain,
u(sF9,sF11) = sF12,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF13 = u(sF6,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f93,plain,
u(sF6,sF12) = sF13,
inference(reorient_equations,[],[f92]) ).
fof(f94,plain,
~ atleast3p(sF13),
inference(definition_folding,[],[f66,f93,f91,f89,f87,f83,f81,f73,f71,f69,f71,f69,f81,f73,f71,f69,f71,f69,f85,f83,f81,f73,f71,f69,f71,f69,f79,f77,f75,f73,f71,f69,f73,f71,f69]) ).
fof(f95,plain,
mem(e,sF1),
inference(superposition,[],[f67,f69]) ).
fof(f96,plain,
mem(sF2,sF3),
inference(superposition,[],[f67,f73]) ).
fof(f97,plain,
mem(sF3,sF4),
inference(superposition,[],[f67,f75]) ).
fof(f98,plain,
mem(sF4,sF5),
inference(superposition,[],[f67,f77]) ).
fof(f100,plain,
mem(sF10,sF11),
inference(superposition,[],[f67,f89]) ).
fof(f101,plain,
! [X0] :
( ~ mem(X0,sF9)
| subq(X0,sF8) ),
inference(superposition,[],[f60,f85]) ).
fof(f102,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f53,f71]) ).
fof(f103,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF7) ),
inference(superposition,[],[f53,f81]) ).
fof(f104,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f53,f79]) ).
fof(f106,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF12) ),
inference(superposition,[],[f53,f91]) ).
fof(f108,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF7) ),
inference(superposition,[],[f54,f81]) ).
fof(f110,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF13) ),
inference(superposition,[],[f54,f93]) ).
fof(f111,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF12) ),
inference(superposition,[],[f54,f91]) ).
fof(f112,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF10) ),
inference(superposition,[],[f54,f87]) ).
fof(f116,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f50,f73]) ).
fof(f117,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f50,f75]) ).
fof(f119,plain,
! [X0] :
( ~ mem(X0,sF8)
| sF7 = X0 ),
inference(superposition,[],[f50,f83]) ).
fof(f120,plain,
! [X0] :
( ~ mem(X0,sF11)
| sF10 = X0 ),
inference(superposition,[],[f50,f89]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f47,f54]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f47,f53]) ).
fof(f125,plain,
! [X0] :
( ~ subq(X0,sF8)
| mem(X0,sF9) ),
inference(superposition,[],[f61,f85]) ).
fof(f128,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f52,f71]) ).
fof(f133,plain,
! [X0] :
( ~ mem(X0,sF12)
| mem(X0,sF11)
| mem(X0,sF9) ),
inference(superposition,[],[f52,f91]) ).
fof(f134,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f128,f49]) ).
fof(f135,plain,
mem(sF2,sF7),
inference(resolution,[],[f96,f103]) ).
fof(f136,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f46,f47]) ).
fof(f137,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f46,f49]) ).
fof(f146,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f149,plain,
mem(sF4,sF6),
inference(resolution,[],[f98,f104]) ).
fof(f150,plain,
mem(e,sF2),
inference(resolution,[],[f102,f95]) ).
fof(f154,plain,
mem(sF10,sF12),
inference(resolution,[],[f100,f106]) ).
fof(f159,plain,
mem(e,sF7),
inference(resolution,[],[f108,f150]) ).
fof(f170,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f134,f46]) ).
fof(f180,plain,
mem(e,sF10),
inference(resolution,[],[f112,f159]) ).
fof(f187,plain,
mem(sF4,sF13),
inference(resolution,[],[f149,f110]) ).
fof(f201,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f45,f150]) ).
fof(f207,plain,
! [X0] :
( ~ subq(sF7,X0)
| mem(sF2,X0) ),
inference(resolution,[],[f45,f135]) ).
fof(f210,plain,
! [X0] :
( ~ subq(sF4,X0)
| mem(sF3,X0) ),
inference(resolution,[],[f45,f97]) ).
fof(f219,plain,
mem(e,sF9),
inference(resolution,[],[f125,f137]) ).
fof(f226,definition,
( spl14_1
<=> subq(sF13,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f275,definition,
( spl14_9
<=> mem(sF10,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f276,plain,
( mem(sF10,sF9)
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( ~ mem(sF10,sF9)
| spl14_9 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f288,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f170,f47]) ).
fof(f292,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f298,definition,
( spl14_12
<=> mem(sF2,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f299,plain,
( ~ mem(sF2,sF9)
| spl14_12 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f300,plain,
( mem(sF2,sF9)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f314,plain,
( subq(sF2,sF8)
| ~ spl14_12 ),
inference(resolution,[],[f300,f101]) ).
fof(f322,plain,
( sF1 = sF2
| ~ subq(sF1,sF2) ),
inference(resolution,[],[f292,f48]) ).
fof(f324,definition,
( spl14_16
<=> subq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
fof(f326,plain,
( ~ subq(sF1,sF2)
| spl14_16 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f328,definition,
( spl14_17
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl14_17])],[avatar_definition]) ).
fof(f330,plain,
( sF1 = sF2
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,plain,
( ~ spl14_16
| spl14_17 ),
inference(avatar_split_clause,[],[f322,f328,f324]) ).
fof(f332,plain,
( mem(e,sF8)
| ~ spl14_12 ),
inference(resolution,[],[f314,f201]) ).
fof(f341,definition,
( spl14_19
<=> sF2 = sF8 ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
fof(f343,plain,
( sF2 = sF8
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f345,plain,
( e = sF7
| ~ spl14_12 ),
inference(resolution,[],[f332,f119]) ).
fof(f352,plain,
( ! [X0] : subq(sF7,X0)
| ~ spl14_12 ),
inference(superposition,[],[f137,f345]) ).
fof(f391,plain,
( ! [X0] : mem(sF2,X0)
| ~ spl14_12 ),
inference(resolution,[],[f352,f207]) ).
fof(f405,plain,
( $false
| ~ spl14_12 ),
inference(resolution,[],[f391,f49]) ).
fof(f433,plain,
~ spl14_12,
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f449,plain,
! [X0] :
( ~ mem(sF8,X0)
| subq(X0,sF9)
| atleast2p(X0) ),
inference(superposition,[],[f62,f85]) ).
fof(f467,definition,
( spl14_26
<=> atleast2p(sF12) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
fof(f468,plain,
( ~ atleast2p(sF12)
| spl14_26 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( atleast2p(sF12)
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f550,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f122,f46]) ).
fof(f562,plain,
! [X0] :
( ~ mem(sK0(X0,sF13),sF12)
| subq(X0,sF13) ),
inference(superposition,[],[f122,f93]) ).
fof(f570,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f572,plain,
( subq(sF12,sF13)
| subq(sF12,sF13) ),
inference(resolution,[],[f562,f46]) ).
fof(f575,plain,
subq(sF12,sF13),
inference(duplicate_literal_removal,[],[f572]) ).
fof(f599,plain,
mem(sF8,sF9),
inference(resolution,[],[f146,f125]) ).
fof(f615,plain,
mem(sF8,sF12),
inference(resolution,[],[f599,f111]) ).
fof(f617,plain,
( subq(sF12,sF9)
| atleast2p(sF12) ),
inference(resolution,[],[f615,f449]) ).
fof(f639,plain,
subq(sF1,sF2),
inference(superposition,[],[f570,f71]) ).
fof(f643,plain,
subq(sF8,sF10),
inference(superposition,[],[f570,f87]) ).
fof(f645,plain,
( $false
| spl14_16 ),
inference(forward_subsumption_resolution,[],[f639,f326]) ).
fof(f646,plain,
spl14_16,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f662,plain,
( sF8 = sF10
| ~ subq(sF10,sF8) ),
inference(resolution,[],[f643,f48]) ).
fof(f664,definition,
( spl14_36
<=> subq(sF10,sF8) ),
introduced(definition,[new_symbols(definition,[spl14_36])],[avatar_definition]) ).
fof(f666,plain,
( ~ subq(sF10,sF8)
| spl14_36 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f668,definition,
( spl14_37
<=> sF8 = sF10 ),
introduced(definition,[new_symbols(definition,[spl14_37])],[avatar_definition]) ).
fof(f670,plain,
( sF8 = sF10
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f671,plain,
( ~ spl14_36
| spl14_37 ),
inference(avatar_split_clause,[],[f662,f668,f664]) ).
fof(f688,definition,
( spl14_41
<=> sF3 = sF7 ),
introduced(definition,[new_symbols(definition,[spl14_41])],[avatar_definition]) ).
fof(f690,plain,
( sF3 = sF7
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f862,definition,
( spl14_65
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_65])],[avatar_definition]) ).
fof(f864,plain,
( mem(e,sF3)
| ~ spl14_65 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f885,definition,
( spl14_70
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl14_70])],[avatar_definition]) ).
fof(f886,plain,
( e != sF3
| spl14_70 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f887,plain,
( e = sF3
| ~ spl14_70 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f899,definition,
( spl14_73
<=> e = sF2 ),
introduced(definition,[new_symbols(definition,[spl14_73])],[avatar_definition]) ).
fof(f901,plain,
( e = sF2
| ~ spl14_73 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f981,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(resolution,[],[f121,f46]) ).
fof(f1001,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literal_removal,[],[f981]) ).
fof(f1033,plain,
subq(sF9,sF12),
inference(superposition,[],[f1001,f91]) ).
fof(f1057,plain,
( mem(e,sF3)
| ~ spl14_41 ),
inference(superposition,[],[f159,f690]) ).
fof(f1084,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl14_70 ),
inference(superposition,[],[f49,f887]) ).
fof(f1085,plain,
( sF1 = s(sF3)
| ~ spl14_70 ),
inference(superposition,[],[f69,f887]) ).
fof(f1099,plain,
( sF1 = sF4
| ~ spl14_70 ),
inference(forward_demodulation,[],[f1085,f75]) ).
fof(f1100,plain,
( sF2 = sF4
| ~ spl14_17
| ~ spl14_70 ),
inference(forward_demodulation,[],[f1099,f330]) ).
fof(f1101,plain,
( subq(sF10,sF8)
| ~ spl14_9 ),
inference(resolution,[],[f276,f101]) ).
fof(f1104,plain,
( $false
| ~ spl14_9
| spl14_36 ),
inference(forward_subsumption_resolution,[],[f1101,f666]) ).
fof(f1105,plain,
( ~ spl14_9
| spl14_36 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1111,plain,
( mem(e,sF8)
| ~ spl14_37 ),
inference(superposition,[],[f180,f670]) ).
fof(f1126,plain,
( s(sF2) = sF5
| ~ spl14_17
| ~ spl14_70 ),
inference(superposition,[],[f77,f1100]) ).
fof(f1132,plain,
( sF3 = sF5
| ~ spl14_17
| ~ spl14_70 ),
inference(forward_demodulation,[],[f1126,f73]) ).
fof(f1135,plain,
( mem(sF4,sF3)
| ~ spl14_17
| ~ spl14_70 ),
inference(superposition,[],[f98,f1132]) ).
fof(f1138,plain,
( $false
| ~ spl14_17
| ~ spl14_70 ),
inference(forward_subsumption_resolution,[],[f1135,f1084]) ).
fof(f1139,plain,
( ~ spl14_17
| ~ spl14_70 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1141,plain,
( e = sF7
| ~ spl14_37 ),
inference(resolution,[],[f1111,f119]) ).
fof(f1145,plain,
( sF1 = s(sF7)
| ~ spl14_37 ),
inference(superposition,[],[f69,f1141]) ).
fof(f1161,plain,
( sF1 = sF8
| ~ spl14_37 ),
inference(forward_demodulation,[],[f1145,f83]) ).
fof(f1163,plain,
( sF2 = sF8
| ~ spl14_17
| ~ spl14_37 ),
inference(forward_demodulation,[],[f1161,f330]) ).
fof(f1164,plain,
( spl14_19
| ~ spl14_17
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f1163,f668,f328,f341]) ).
fof(f1173,plain,
( mem(sF2,sF9)
| ~ spl14_19 ),
inference(superposition,[],[f599,f343]) ).
fof(f1180,plain,
( $false
| spl14_12
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f1173,f299]) ).
fof(f1181,plain,
( spl14_12
| ~ spl14_19 ),
inference(avatar_contradiction_clause,[],[f1180]) ).
fof(f1266,plain,
( sF9 = sF12
| ~ subq(sF12,sF9) ),
inference(resolution,[],[f1033,f48]) ).
fof(f1268,definition,
( spl14_85
<=> subq(sF12,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_85])],[avatar_definition]) ).
fof(f1270,plain,
( ~ subq(sF12,sF9)
| spl14_85 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1272,definition,
( spl14_86
<=> sF9 = sF12 ),
introduced(definition,[new_symbols(definition,[spl14_86])],[avatar_definition]) ).
fof(f1274,plain,
( sF9 = sF12
| ~ spl14_86 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1275,plain,
( ~ spl14_85
| spl14_86 ),
inference(avatar_split_clause,[],[f1266,f1272,f1268]) ).
fof(f1294,plain,
( atleast3p(sF13)
| ~ atleast2p(sF12)
| subq(sF13,sF12) ),
inference(resolution,[],[f575,f63]) ).
fof(f1295,plain,
( sF12 = sF13
| ~ subq(sF13,sF12) ),
inference(resolution,[],[f575,f48]) ).
fof(f1297,definition,
( spl14_90
<=> sF12 = sF13 ),
introduced(definition,[new_symbols(definition,[spl14_90])],[avatar_definition]) ).
fof(f1299,plain,
( sF12 = sF13
| ~ spl14_90 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1300,plain,
( ~ spl14_1
| spl14_90 ),
inference(avatar_split_clause,[],[f1295,f1297,f226]) ).
fof(f1301,plain,
( ~ atleast2p(sF12)
| subq(sF13,sF12) ),
inference(forward_subsumption_resolution,[],[f1294,f94]) ).
fof(f1302,plain,
( subq(sF13,sF12)
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f1301,f469]) ).
fof(f1303,plain,
( spl14_1
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f1302,f467,f226]) ).
fof(f1308,plain,
( mem(sF4,sF12)
| ~ spl14_90 ),
inference(superposition,[],[f187,f1299]) ).
fof(f1440,plain,
( mem(sF4,sF11)
| mem(sF4,sF9)
| ~ spl14_90 ),
inference(resolution,[],[f1308,f133]) ).
fof(f1444,definition,
( spl14_91
<=> mem(sF4,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_91])],[avatar_definition]) ).
fof(f1446,plain,
( mem(sF4,sF9)
| ~ spl14_91 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1448,definition,
( spl14_92
<=> mem(sF4,sF11) ),
introduced(definition,[new_symbols(definition,[spl14_92])],[avatar_definition]) ).
fof(f1450,plain,
( mem(sF4,sF11)
| ~ spl14_92 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1451,plain,
( spl14_91
| spl14_92
| ~ spl14_90 ),
inference(avatar_split_clause,[],[f1440,f1297,f1448,f1444]) ).
fof(f1452,plain,
( subq(sF4,sF8)
| ~ spl14_91 ),
inference(resolution,[],[f1446,f101]) ).
fof(f1455,plain,
( mem(sF3,sF8)
| ~ spl14_91 ),
inference(resolution,[],[f1452,f210]) ).
fof(f1468,plain,
( sF3 = sF7
| ~ spl14_91 ),
inference(resolution,[],[f1455,f119]) ).
fof(f1471,plain,
( spl14_41
| ~ spl14_91 ),
inference(avatar_split_clause,[],[f1468,f1444,f688]) ).
fof(f1472,plain,
( sF4 = sF10
| ~ spl14_92 ),
inference(resolution,[],[f1450,f120]) ).
fof(f1480,plain,
( mem(e,sF4)
| ~ spl14_92 ),
inference(superposition,[],[f180,f1472]) ).
fof(f1511,plain,
( e = sF3
| ~ spl14_92 ),
inference(resolution,[],[f1480,f117]) ).
fof(f1513,plain,
( $false
| spl14_70
| ~ spl14_92 ),
inference(forward_subsumption_resolution,[],[f1511,f886]) ).
fof(f1514,plain,
( spl14_70
| ~ spl14_92 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1515,plain,
( atleast2p(sF12)
| spl14_85 ),
inference(forward_subsumption_resolution,[],[f617,f1270]) ).
fof(f1516,plain,
( $false
| spl14_26
| spl14_85 ),
inference(forward_subsumption_resolution,[],[f1515,f468]) ).
fof(f1517,plain,
( spl14_26
| spl14_85 ),
inference(avatar_contradiction_clause,[],[f1516]) ).
fof(f1521,plain,
( mem(sF10,sF9)
| ~ spl14_86 ),
inference(superposition,[],[f154,f1274]) ).
fof(f1532,plain,
( $false
| spl14_9
| ~ spl14_86 ),
inference(forward_subsumption_resolution,[],[f1521,f277]) ).
fof(f1533,plain,
( spl14_9
| ~ spl14_86 ),
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1534,plain,
( spl14_65
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f1057,f688,f862]) ).
fof(f1536,plain,
( e = sF2
| ~ spl14_65 ),
inference(resolution,[],[f864,f116]) ).
fof(f1541,plain,
( spl14_73
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f1536,f862,f899]) ).
fof(f1550,plain,
( mem(sF2,sF9)
| ~ spl14_73 ),
inference(superposition,[],[f219,f901]) ).
fof(f1557,plain,
( $false
| spl14_12
| ~ spl14_73 ),
inference(forward_subsumption_resolution,[],[f1550,f299]) ).
fof(f1558,plain,
( spl14_12
| ~ spl14_73 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
cnf(s8,plain,
( ~ spl14_16
| spl14_17 ),
inference(sat_conversion,[],[f331]) ).
cnf(s11,plain,
~ spl14_12,
inference(sat_conversion,[],[f433]) ).
cnf(s20,plain,
spl14_16,
inference(sat_conversion,[],[f646]) ).
cnf(s21,plain,
( ~ spl14_36
| spl14_37 ),
inference(sat_conversion,[],[f671]) ).
cnf(s54,plain,
( ~ spl14_9
| spl14_36 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s55,plain,
( ~ spl14_17
| ~ spl14_70 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s58,plain,
( ~ spl14_17
| spl14_19
| ~ spl14_37 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s59,plain,
( spl14_12
| ~ spl14_19 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s64,plain,
( ~ spl14_85
| spl14_86 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s67,plain,
( ~ spl14_1
| spl14_90 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s68,plain,
( spl14_1
| ~ spl14_26 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s70,plain,
( ~ spl14_90
| spl14_91
| spl14_92 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s72,plain,
( spl14_41
| ~ spl14_91 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s74,plain,
( spl14_70
| ~ spl14_92 ),
inference(sat_conversion,[],[f1514]) ).
cnf(s75,plain,
( spl14_26
| spl14_85 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s77,plain,
( spl14_9
| ~ spl14_86 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s78,plain,
( ~ spl14_41
| spl14_65 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s81,plain,
( ~ spl14_65
| spl14_73 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s82,plain,
( spl14_12
| ~ spl14_73 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s85,plain,
~ spl14_73,
inference(rat,[],[s82,s11]) ).
cnf(s86,plain,
~ spl14_19,
inference(rat,[],[s59,s11]) ).
cnf(s88,plain,
~ spl14_65,
inference(rat,[],[s81,s85]) ).
cnf(s90,plain,
~ spl14_41,
inference(rat,[],[s78,s88]) ).
cnf(s91,plain,
~ spl14_91,
inference(rat,[],[s72,s90]) ).
cnf(s93,plain,
spl14_17,
inference(rat,[],[s8,s20]) ).
cnf(s95,plain,
~ spl14_37,
inference(rat,[],[s58,s86,s93]) ).
cnf(s96,plain,
~ spl14_70,
inference(rat,[],[s55,s93]) ).
cnf(s97,plain,
~ spl14_36,
inference(rat,[],[s21,s95]) ).
cnf(s98,plain,
~ spl14_92,
inference(rat,[],[s74,s96]) ).
cnf(s100,plain,
~ spl14_9,
inference(rat,[],[s54,s97]) ).
cnf(s101,plain,
~ spl14_90,
inference(rat,[],[s70,s91,s98]) ).
cnf(s102,plain,
~ spl14_86,
inference(rat,[],[s77,s100]) ).
cnf(s104,plain,
~ spl14_1,
inference(rat,[],[s67,s101]) ).
cnf(s105,plain,
~ spl14_85,
inference(rat,[],[s64,s102]) ).
cnf(s107,plain,
~ spl14_26,
inference(rat,[],[s68,s104]) ).
cnf(s108,plain,
$false,
inference(rat,[],[s75,s105,s107]) ).
fof(f1566,plain,
$false,
inference(avatar_sat_refutation,[],[s108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV538+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 06:33:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.78/1.79 % (1383045)Detected formulas, will run a generic FOF schedule.
% 5.78/1.79 % (1383050)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=1505698513:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.78/1.79 % (1383051)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=1681588908:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.78/1.79 % (1383053)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2863638339:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.78/1.79 % (1383052)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=911840762:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.78/1.79 % (1383053)Refutation not found, incomplete strategy
% 5.78/1.79 % (1383053)------------------------------
% 5.78/1.79 % (1383053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383053)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383053)Termination reason: Refutation not found, incomplete strategy
% 5.78/1.79 % (1383053)Time elapsed: 0.001 s
% 5.78/1.79 % (1383053)Peak memory usage: 88 MB
% 5.78/1.79 % (1383054)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3608271016:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.78/1.79 % (1383055)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1164079496:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.78/1.79 % (1383056)dis-21_1_sil=8000:lcm=predicate:random_seed=898410894: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)
% 5.78/1.79 % (1383054)Instruction limit reached!
% 5.78/1.79 % (1383054)------------------------------
% 5.78/1.79 % (1383054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383054)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383054)Termination reason: Instruction limit
% 5.78/1.79 % (1383054)Termination phase: Saturation
% 5.78/1.79 % (1383054)Time elapsed: 0.074 s
% 5.78/1.79 % (1383054)Peak memory usage: 88 MB
% 5.78/1.79 % (1383054)Instructions burned: 119 (million)
% 5.78/1.79 % (1383056)Instruction limit reached!
% 5.78/1.79 % (1383056)------------------------------
% 5.78/1.79 % (1383056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383056)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383056)Termination reason: Instruction limit
% 5.78/1.79 % (1383056)Termination phase: Saturation
% 5.78/1.79 % (1383056)Time elapsed: 0.080 s
% 5.78/1.79 % (1383056)Peak memory usage: 89 MB
% 5.78/1.79 % (1383056)Instructions burned: 132 (million)
% 5.78/1.79 % (1383055)Instruction limit reached!
% 5.78/1.79 % (1383055)------------------------------
% 5.78/1.79 % (1383055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383055)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383055)Termination reason: Instruction limit
% 5.78/1.79 % (1383055)Termination phase: Saturation
% 5.78/1.79 % (1383055)Time elapsed: 0.088 s
% 5.78/1.79 % (1383055)Peak memory usage: 89 MB
% 5.78/1.79 % (1383055)Instructions burned: 139 (million)
% 5.78/1.79 % (1383065)lrs+10_1_sil=32000:urr=on:br=off:random_seed=205081888:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.78/1.79 % (1383064)lrs+10_1_sil=8000:sp=occurrence:random_seed=2526379938:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.78/1.79 % (1383053)------------------------------
% 5.78/1.79 % (1383053)------------------------------
% 5.78/1.79 % (1383066)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2295932526:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.78/1.79 % (1383066)Refutation not found, incomplete strategy
% 5.78/1.79 % (1383066)------------------------------
% 5.78/1.79 % (1383066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383066)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383066)Termination reason: Refutation not found, incomplete strategy
% 5.78/1.79 % (1383066)Time elapsed: 0.002 s
% 5.78/1.79 % (1383066)Peak memory usage: 88 MB
% 5.78/1.79 % (1383066)Instructions burned: 1 (million)
% 5.78/1.79 % (1383065)Instruction limit reached!
% 5.78/1.79 % (1383065)------------------------------
% 5.78/1.79 % (1383065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383065)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383065)Termination reason: Instruction limit
% 5.78/1.79 % (1383065)Termination phase: Saturation
% 5.78/1.79 % (1383065)Time elapsed: 0.076 s
% 5.78/1.79 % (1383065)Peak memory usage: 89 MB
% 5.78/1.79 % (1383065)Instructions burned: 157 (million)
% 5.78/1.79 % (1383069)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=2296206202:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.78/1.79 % (1383064)Instruction limit reached!
% 5.78/1.79 % (1383064)------------------------------
% 5.78/1.79 % (1383064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383064)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383064)Termination reason: Instruction limit
% 5.78/1.79 % (1383064)Termination phase: Saturation
% 5.78/1.79 % (1383064)Time elapsed: 0.184 s
% 5.78/1.79 % (1383064)Peak memory usage: 91 MB
% 5.78/1.79 % (1383064)Instructions burned: 285 (million)
% 5.78/1.79 % (1383071)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4112164149:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.78/1.79 % (1383071)Refutation not found, incomplete strategy
% 5.78/1.79 % (1383071)------------------------------
% 5.78/1.79 % (1383071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383071)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383071)Termination reason: Refutation not found, incomplete strategy
% 5.78/1.79 % (1383071)Time elapsed: 0.001 s
% 5.78/1.79 % (1383071)Peak memory usage: 88 MB
% 5.78/1.79 % (1383071)Instructions burned: 1 (million)
% 5.78/1.79 % (1383050)First to succeed.
% 5.78/1.79 % (1383050)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1383045"
% 5.78/1.79 % (1383066)------------------------------
% 5.78/1.79 % (1383066)------------------------------
% 5.78/1.79 % (1383069)Instruction limit reached!
% 5.78/1.79 % (1383069)------------------------------
% 5.78/1.79 % (1383069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383069)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383069)Termination reason: Instruction limit
% 5.78/1.79 % (1383069)Termination phase: Saturation
% 5.78/1.79 % (1383069)Time elapsed: 0.143 s
% 5.78/1.79 % (1383069)Peak memory usage: 91 MB
% 5.78/1.79 % (1383069)Instructions burned: 248 (million)
% 5.78/1.79 % (1383052)Refutation not found, incomplete strategy
% 5.78/1.79 % (1383052)------------------------------
% 5.78/1.79 % (1383052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383052)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383052)Termination reason: Refutation not found, incomplete strategy
% 5.78/1.79 % (1383052)Time elapsed: 0.552 s
% 5.78/1.79 % (1383052)Peak memory usage: 126 MB
% 5.78/1.79 % (1383052)Instructions burned: 824 (million)
% 5.78/1.79 % (1383071)------------------------------
% 5.78/1.79 % (1383071)------------------------------
% 5.78/1.79 % (1383073)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1664398086:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.78/1.79 % (1383075)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3758131787:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.78/1.79 % (1383076)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=910002251:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.78/1.79 % (1383077)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=107605975:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.78/1.79 % (1383075)Instruction limit reached!
% 5.78/1.79 % (1383075)------------------------------
% 5.78/1.79 % (1383075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383075)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383075)Termination reason: Instruction limit
% 5.78/1.79 % (1383075)Termination phase: Saturation
% 5.78/1.79 % (1383075)Time elapsed: 0.068 s
% 5.78/1.79 % (1383075)Peak memory usage: 89 MB
% 5.78/1.79 % (1383075)Instructions burned: 114 (million)
% 5.78/1.79 % (1383077)Instruction limit reached!
% 5.78/1.79 % (1383077)------------------------------
% 5.78/1.79 % (1383077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383077)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383077)Termination reason: Instruction limit
% 5.78/1.79 % (1383077)Termination phase: Saturation
% 5.78/1.79 % (1383077)Time elapsed: 0.038 s
% 5.78/1.79 % (1383077)Peak memory usage: 89 MB
% 5.78/1.79 % (1383077)Instructions burned: 117 (million)
% 5.78/1.79 % (1383076)Instruction limit reached!
% 5.78/1.79 % (1383076)------------------------------
% 5.78/1.79 % (1383076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.79 % (1383076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.79 % (1383076)CaDiCaL version: 2.1.3
% 5.78/1.79 % (1383076)Termination reason: Instruction limit
% 5.78/1.79 % (1383076)Termination phase: Saturation
% 5.78/1.79 % (1383076)Time elapsed: 0.062 s
% 5.78/1.79 % (1383076)Peak memory usage: 88 MB
% 5.78/1.79 % (1383076)Instructions burned: 129 (million)
% 5.78/1.79 % (1383050)Refutation found. Thanks to Tanya!
% 5.78/1.79 % SZS status Theorem for theBenchmark
% 5.78/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 7.16/1.99 % (1383050)------------------------------
% 7.16/1.99 % (1383050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.99 % (1383050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.99 % (1383050)CaDiCaL version: 2.1.3
% 7.16/1.99 % (1383050)Termination reason: Refutation
% 7.16/1.99 % (1383050)Time elapsed: 0.536 s
% 7.16/1.99 % (1383050)Peak memory usage: 131 MB
% 7.16/1.99 % (1383050)Instructions burned: 1121 (million)
% 7.16/1.99 % (1383050)------------------------------
% 7.16/1.99 % (1383050)------------------------------
% 7.16/1.99 % (1383045)Success in time 0.94 s
% 7.16/1.99 % Vampire exiting
%------------------------------------------------------------------------------