%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV537+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 : n019.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 12:57:55 PM UTC 2026
% Result : Theorem 8.49s 2.07s
% Output : Refutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 37
% Syntax : Number of formulae : 251 ( 77 unt; 26 def)
% Number of atoms : 495 ( 67 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 431 ( 187 ~; 200 |; 18 &)
% ( 21 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn 126 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_ax) ).
fof(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(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast3p_def) ).
fof(f26,conjecture,
atleast3p(a(u(s(s(n(e))),p(p(s(n(e))))),a(s(n(e)),n(n(e))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast3_1079) ).
fof(f27,negated_conjecture,
~ atleast3p(a(u(s(s(n(e))),p(p(s(n(e))))),a(s(n(e)),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ atleast3p(a(u(s(s(n(e))),p(p(s(n(e))))),a(s(n(e)),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(a(u(s(s(n(e))),p(p(s(n(e))))),a(s(n(e)),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(s(u(e,s(e)))),p(p(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,[],[f64,f58,f65,f65,f58,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 = p(sF3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f77,plain,
p(sF3) = sF5,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF6 = p(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f79,plain,
p(sF5) = sF6,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF7 = u(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f81,plain,
u(sF4,sF6) = sF7,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF8 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f83,plain,
u(sF2,sF3) = sF8,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF9 = s(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f85,plain,
s(sF8) = sF9,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF10 = u(sF3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f87,plain,
u(sF3,sF9) = 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(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f91,plain,
u(sF7,sF11) = sF12,
inference(reorient_equations,[],[f90]) ).
fof(f92,plain,
~ atleast3p(sF12),
inference(definition_folding,[],[f66,f91,f89,f87,f85,f83,f73,f71,f69,f71,f69,f73,f71,f69,f81,f79,f77,f73,f71,f69,f75,f73,f71,f69]) ).
fof(f93,plain,
mem(e,sF1),
inference(superposition,[],[f67,f69]) ).
fof(f94,plain,
mem(sF2,sF3),
inference(superposition,[],[f67,f73]) ).
fof(f95,plain,
mem(sF3,sF4),
inference(superposition,[],[f67,f75]) ).
fof(f96,plain,
mem(sF8,sF9),
inference(superposition,[],[f67,f85]) ).
fof(f97,plain,
mem(sF10,sF11),
inference(superposition,[],[f67,f89]) ).
fof(f98,plain,
! [X0] :
( ~ mem(X0,sF5)
| subq(X0,sF3) ),
inference(superposition,[],[f60,f77]) ).
fof(f99,plain,
! [X0] :
( ~ mem(X0,sF6)
| subq(X0,sF5) ),
inference(superposition,[],[f60,f79]) ).
fof(f100,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f53,f71]) ).
fof(f101,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF8) ),
inference(superposition,[],[f53,f83]) ).
fof(f102,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF10) ),
inference(superposition,[],[f53,f87]) ).
fof(f103,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF7) ),
inference(superposition,[],[f53,f81]) ).
fof(f104,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF12) ),
inference(superposition,[],[f53,f91]) ).
fof(f107,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF10) ),
inference(superposition,[],[f54,f87]) ).
fof(f108,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF7) ),
inference(superposition,[],[f54,f81]) ).
fof(f111,plain,
! [X0] :
( ~ mem(X0,sF1)
| e = X0 ),
inference(superposition,[],[f50,f69]) ).
fof(f112,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f50,f73]) ).
fof(f113,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f50,f75]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f47,f54]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f47,f53]) ).
fof(f120,plain,
! [X0] :
( ~ subq(X0,sF3)
| mem(X0,sF5) ),
inference(superposition,[],[f61,f77]) ).
fof(f121,plain,
! [X0] :
( ~ subq(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f61,f79]) ).
fof(f122,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f46,f47]) ).
fof(f127,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f132,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f52,f71]) ).
fof(f135,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF6)
| mem(X0,sF4) ),
inference(superposition,[],[f52,f81]) ).
fof(f137,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f132,f49]) ).
fof(f138,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f49,f46]) ).
fof(f139,plain,
mem(e,sF2),
inference(resolution,[],[f100,f93]) ).
fof(f142,plain,
mem(sF3,sF7),
inference(resolution,[],[f108,f95]) ).
fof(f143,plain,
mem(sF10,sF12),
inference(resolution,[],[f97,f104]) ).
fof(f147,plain,
mem(sF2,sF8),
inference(resolution,[],[f101,f94]) ).
fof(f151,plain,
mem(sF8,sF10),
inference(resolution,[],[f102,f96]) ).
fof(f159,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f137,f46]) ).
fof(f161,plain,
mem(sF2,sF10),
inference(resolution,[],[f107,f94]) ).
fof(f184,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f45,f139]) ).
fof(f187,plain,
! [X0] :
( ~ subq(sF3,X0)
| mem(sF2,X0) ),
inference(resolution,[],[f45,f94]) ).
fof(f189,plain,
! [X0] :
( ~ subq(sF10,X0)
| mem(sF2,X0) ),
inference(resolution,[],[f45,f161]) ).
fof(f198,plain,
mem(e,sF5),
inference(resolution,[],[f120,f138]) ).
fof(f223,definition,
( spl13_4
<=> subq(sF12,sF7) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f224,plain,
( ~ subq(sF12,sF7)
| spl13_4 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( subq(sF12,sF7)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f255,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f159,f47]) ).
fof(f259,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f266,definition,
( spl13_10
<=> mem(sF2,sF5) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
fof(f267,plain,
( ~ mem(sF2,sF5)
| spl13_10 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( mem(sF2,sF5)
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f301,plain,
( sF1 = sF2
| ~ subq(sF1,sF2) ),
inference(resolution,[],[f259,f48]) ).
fof(f303,definition,
( spl13_16
<=> subq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
fof(f305,plain,
( ~ subq(sF1,sF2)
| spl13_16 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl13_17
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl13_17])],[avatar_definition]) ).
fof(f309,plain,
( sF1 = sF2
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( ~ spl13_16
| spl13_17 ),
inference(avatar_split_clause,[],[f301,f307,f303]) ).
fof(f311,plain,
( subq(sF2,sF3)
| ~ spl13_10 ),
inference(resolution,[],[f268,f98]) ).
fof(f313,plain,
( mem(e,sF3)
| ~ spl13_10 ),
inference(resolution,[],[f311,f184]) ).
fof(f327,plain,
( e = sF2
| ~ spl13_10 ),
inference(resolution,[],[f313,f112]) ).
fof(f331,plain,
( ! [X0] : ~ mem(X0,sF2)
| ~ spl13_10 ),
inference(superposition,[],[f49,f327]) ).
fof(f332,plain,
( sF1 = s(sF2)
| ~ spl13_10 ),
inference(superposition,[],[f69,f327]) ).
fof(f339,plain,
( sF1 = sF3
| ~ spl13_10 ),
inference(forward_demodulation,[],[f332,f73]) ).
fof(f340,plain,
( sF2 = u(e,sF3)
| ~ spl13_10 ),
inference(superposition,[],[f71,f339]) ).
fof(f342,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) )
| ~ spl13_10 ),
inference(superposition,[],[f100,f339]) ).
fof(f347,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f342,f331]) ).
fof(f348,plain,
( sF2 = u(sF2,sF3)
| ~ spl13_10 ),
inference(forward_demodulation,[],[f340,f327]) ).
fof(f349,plain,
( sF2 = sF8
| ~ spl13_10 ),
inference(forward_demodulation,[],[f348,f83]) ).
fof(f350,plain,
( s(sF2) = sF9
| ~ spl13_10 ),
inference(superposition,[],[f85,f349]) ).
fof(f357,plain,
( sF3 = sF9
| ~ spl13_10 ),
inference(forward_demodulation,[],[f350,f73]) ).
fof(f360,plain,
( mem(sF8,sF3)
| ~ spl13_10 ),
inference(superposition,[],[f96,f357]) ).
fof(f362,plain,
( $false
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f360,f347]) ).
fof(f363,plain,
~ spl13_10,
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f420,plain,
! [X0] :
( ~ mem(sF5,X0)
| subq(X0,sF6)
| atleast2p(X0) ),
inference(superposition,[],[f62,f79]) ).
fof(f451,definition,
( spl13_27
<=> atleast2p(sF7) ),
introduced(definition,[new_symbols(definition,[spl13_27])],[avatar_definition]) ).
fof(f452,plain,
( ~ atleast2p(sF7)
| spl13_27 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( atleast2p(sF7)
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f484,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f117,f46]) ).
fof(f503,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f484]) ).
fof(f515,definition,
( spl13_33
<=> mem(sF10,sF7) ),
introduced(definition,[new_symbols(definition,[spl13_33])],[avatar_definition]) ).
fof(f516,plain,
( mem(sF10,sF7)
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f517,plain,
( ~ mem(sF10,sF7)
| spl13_33 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f549,plain,
subq(sF1,sF2),
inference(superposition,[],[f503,f71]) ).
fof(f552,plain,
subq(sF6,sF7),
inference(superposition,[],[f503,f81]) ).
fof(f554,plain,
( $false
| spl13_16 ),
inference(forward_subsumption_resolution,[],[f549,f305]) ).
fof(f555,plain,
spl13_16,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f559,plain,
( ! [X0] :
( ~ mem(X0,sF2)
| e = X0 )
| ~ spl13_17 ),
inference(superposition,[],[f111,f309]) ).
fof(f609,plain,
( sF6 = sF7
| ~ subq(sF7,sF6) ),
inference(resolution,[],[f552,f48]) ).
fof(f611,definition,
( spl13_44
<=> subq(sF7,sF6) ),
introduced(definition,[new_symbols(definition,[spl13_44])],[avatar_definition]) ).
fof(f613,plain,
( ~ subq(sF7,sF6)
| spl13_44 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f615,definition,
( spl13_45
<=> sF6 = sF7 ),
introduced(definition,[new_symbols(definition,[spl13_45])],[avatar_definition]) ).
fof(f617,plain,
( sF6 = sF7
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( ~ spl13_44
| spl13_45 ),
inference(avatar_split_clause,[],[f609,f615,f611]) ).
fof(f630,plain,
mem(sF5,sF6),
inference(resolution,[],[f127,f121]) ).
fof(f644,plain,
mem(sF5,sF7),
inference(resolution,[],[f630,f103]) ).
fof(f646,plain,
( subq(sF7,sF6)
| atleast2p(sF7) ),
inference(resolution,[],[f644,f420]) ).
fof(f686,definition,
( spl13_50
<=> mem(sF3,sF6) ),
introduced(definition,[new_symbols(definition,[spl13_50])],[avatar_definition]) ).
fof(f687,plain,
( mem(sF3,sF6)
| ~ spl13_50 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f688,plain,
( ~ mem(sF3,sF6)
| spl13_50 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f704,plain,
! [X0] :
( ~ mem(sK0(X0,sF12),sF7)
| subq(X0,sF12) ),
inference(superposition,[],[f116,f91]) ).
fof(f713,plain,
( subq(sF7,sF12)
| subq(sF7,sF12) ),
inference(resolution,[],[f704,f46]) ).
fof(f716,plain,
subq(sF7,sF12),
inference(duplicate_literal_removal,[],[f713]) ).
fof(f742,definition,
( spl13_52
<=> sF3 = sF10 ),
introduced(definition,[new_symbols(definition,[spl13_52])],[avatar_definition]) ).
fof(f743,plain,
( sF3 != sF10
| spl13_52 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f744,plain,
( sF3 = sF10
| ~ spl13_52 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f754,definition,
( spl13_54
<=> sF2 = sF8 ),
introduced(definition,[new_symbols(definition,[spl13_54])],[avatar_definition]) ).
fof(f756,plain,
( sF2 = sF8
| ~ spl13_54 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f847,definition,
( spl13_63
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl13_63])],[avatar_definition]) ).
fof(f848,plain,
( ~ mem(e,sF3)
| spl13_63 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f849,plain,
( mem(e,sF3)
| ~ spl13_63 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f919,plain,
( subq(sF3,sF5)
| ~ spl13_50 ),
inference(resolution,[],[f687,f99]) ).
fof(f978,plain,
( mem(sF8,sF3)
| ~ spl13_52 ),
inference(superposition,[],[f151,f744]) ).
fof(f1001,plain,
( e = sF2
| ~ spl13_63 ),
inference(resolution,[],[f849,f112]) ).
fof(f1013,plain,
( mem(sF2,sF5)
| ~ spl13_63 ),
inference(superposition,[],[f198,f1001]) ).
fof(f1018,plain,
( $false
| spl13_10
| ~ spl13_63 ),
inference(forward_subsumption_resolution,[],[f1013,f267]) ).
fof(f1019,plain,
( spl13_10
| ~ spl13_63 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1064,plain,
( sF7 = sF12
| ~ subq(sF7,sF12)
| ~ spl13_4 ),
inference(resolution,[],[f225,f48]) ).
fof(f1065,plain,
( sF7 = sF12
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f1064,f716]) ).
fof(f1069,plain,
( mem(sF10,sF7)
| ~ spl13_4 ),
inference(superposition,[],[f143,f1065]) ).
fof(f1135,plain,
( mem(sF3,sF6)
| ~ spl13_45 ),
inference(superposition,[],[f142,f617]) ).
fof(f1333,plain,
( atleast3p(sF12)
| ~ atleast2p(sF7)
| subq(sF12,sF7) ),
inference(resolution,[],[f716,f63]) ).
fof(f1355,plain,
( mem(sF2,sF5)
| ~ spl13_50 ),
inference(resolution,[],[f187,f919]) ).
fof(f1358,plain,
( $false
| spl13_10
| ~ spl13_50 ),
inference(forward_subsumption_resolution,[],[f1355,f267]) ).
fof(f1359,plain,
( spl13_10
| ~ spl13_50 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1370,plain,
( $false
| ~ spl13_45
| spl13_50 ),
inference(forward_subsumption_resolution,[],[f1135,f688]) ).
fof(f1371,plain,
( ~ spl13_45
| spl13_50 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1434,plain,
( sF2 = sF8
| ~ spl13_52 ),
inference(resolution,[],[f978,f112]) ).
fof(f1437,plain,
( spl13_54
| ~ spl13_52 ),
inference(avatar_split_clause,[],[f1434,f742,f754]) ).
fof(f1441,plain,
( mem(sF2,sF2)
| ~ spl13_54 ),
inference(superposition,[],[f147,f756]) ).
fof(f1482,plain,
( e = sF2
| ~ spl13_17
| ~ spl13_54 ),
inference(resolution,[],[f1441,f559]) ).
fof(f1500,plain,
( ~ mem(sF2,sF3)
| ~ spl13_17
| ~ spl13_54
| spl13_63 ),
inference(superposition,[],[f848,f1482]) ).
fof(f1502,plain,
( $false
| ~ spl13_17
| ~ spl13_54
| spl13_63 ),
inference(forward_subsumption_resolution,[],[f1500,f94]) ).
fof(f1503,plain,
( ~ spl13_17
| ~ spl13_54
| spl13_63 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1516,plain,
( mem(sF10,sF6)
| mem(sF10,sF4)
| ~ spl13_33 ),
inference(resolution,[],[f516,f135]) ).
fof(f1520,definition,
( spl13_78
<=> mem(sF10,sF4) ),
introduced(definition,[new_symbols(definition,[spl13_78])],[avatar_definition]) ).
fof(f1522,plain,
( mem(sF10,sF4)
| ~ spl13_78 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1524,definition,
( spl13_79
<=> mem(sF10,sF6) ),
introduced(definition,[new_symbols(definition,[spl13_79])],[avatar_definition]) ).
fof(f1526,plain,
( mem(sF10,sF6)
| ~ spl13_79 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1527,plain,
( spl13_78
| spl13_79
| ~ spl13_33 ),
inference(avatar_split_clause,[],[f1516,f515,f1524,f1520]) ).
fof(f1529,plain,
( sF3 = sF10
| ~ spl13_78 ),
inference(resolution,[],[f1522,f113]) ).
fof(f1532,plain,
( $false
| spl13_52
| ~ spl13_78 ),
inference(forward_subsumption_resolution,[],[f1529,f743]) ).
fof(f1533,plain,
( spl13_52
| ~ spl13_78 ),
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1534,plain,
( subq(sF10,sF5)
| ~ spl13_79 ),
inference(resolution,[],[f1526,f99]) ).
fof(f1538,plain,
( mem(sF2,sF5)
| ~ spl13_79 ),
inference(resolution,[],[f1534,f189]) ).
fof(f1551,plain,
( $false
| spl13_10
| ~ spl13_79 ),
inference(forward_subsumption_resolution,[],[f1538,f267]) ).
fof(f1552,plain,
( spl13_10
| ~ spl13_79 ),
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f1555,plain,
( $false
| ~ spl13_4
| spl13_33 ),
inference(forward_subsumption_resolution,[],[f1069,f517]) ).
fof(f1556,plain,
( ~ spl13_4
| spl13_33 ),
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1562,plain,
( ~ atleast2p(sF7)
| subq(sF12,sF7) ),
inference(forward_subsumption_resolution,[],[f1333,f92]) ).
fof(f1564,plain,
( subq(sF12,sF7)
| ~ spl13_27 ),
inference(forward_subsumption_resolution,[],[f1562,f453]) ).
fof(f1565,plain,
( $false
| spl13_4
| ~ spl13_27 ),
inference(forward_subsumption_resolution,[],[f1564,f224]) ).
fof(f1566,plain,
( spl13_4
| ~ spl13_27 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1568,plain,
( atleast2p(sF7)
| spl13_44 ),
inference(forward_subsumption_resolution,[],[f646,f613]) ).
fof(f1569,plain,
( $false
| spl13_27
| spl13_44 ),
inference(forward_subsumption_resolution,[],[f1568,f452]) ).
fof(f1570,plain,
( spl13_27
| spl13_44 ),
inference(avatar_contradiction_clause,[],[f1569]) ).
cnf(s8,plain,
( ~ spl13_16
| spl13_17 ),
inference(sat_conversion,[],[f310]) ).
cnf(s10,plain,
~ spl13_10,
inference(sat_conversion,[],[f363]) ).
cnf(s21,plain,
spl13_16,
inference(sat_conversion,[],[f555]) ).
cnf(s26,plain,
( ~ spl13_44
| spl13_45 ),
inference(sat_conversion,[],[f618]) ).
cnf(s52,plain,
( spl13_10
| ~ spl13_63 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s61,plain,
( spl13_10
| ~ spl13_50 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s67,plain,
( ~ spl13_45
| spl13_50 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s73,plain,
( ~ spl13_52
| spl13_54 ),
inference(sat_conversion,[],[f1437]) ).
cnf(s77,plain,
( ~ spl13_17
| ~ spl13_54
| spl13_63 ),
inference(sat_conversion,[],[f1503]) ).
cnf(s81,plain,
( ~ spl13_33
| spl13_78
| spl13_79 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s82,plain,
( spl13_52
| ~ spl13_78 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s84,plain,
( spl13_10
| ~ spl13_79 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s86,plain,
( ~ spl13_4
| spl13_33 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s88,plain,
( spl13_4
| ~ spl13_27 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s89,plain,
( spl13_27
| spl13_44 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s90,plain,
~ spl13_79,
inference(rat,[],[s84,s10]) ).
cnf(s91,plain,
~ spl13_50,
inference(rat,[],[s61,s10]) ).
cnf(s92,plain,
~ spl13_63,
inference(rat,[],[s52,s10]) ).
cnf(s93,plain,
~ spl13_45,
inference(rat,[],[s67,s91]) ).
cnf(s96,plain,
~ spl13_44,
inference(rat,[],[s26,s93]) ).
cnf(s97,plain,
spl13_27,
inference(rat,[],[s89,s96]) ).
cnf(s98,plain,
spl13_4,
inference(rat,[],[s88,s97]) ).
cnf(s99,plain,
spl13_33,
inference(rat,[],[s86,s98]) ).
cnf(s102,plain,
spl13_78,
inference(rat,[],[s81,s90,s99]) ).
cnf(s104,plain,
spl13_52,
inference(rat,[],[s82,s102]) ).
cnf(s105,plain,
spl13_54,
inference(rat,[],[s73,s104]) ).
cnf(s107,plain,
~ spl13_17,
inference(rat,[],[s77,s92,s105]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s8,s107,s21]) ).
fof(f1571,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV537+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n019.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 06:31:18 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 8.49/2.07 % (3800675)Detected formulas, will run a generic FOF schedule.
% 8.49/2.07 % (3800684)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3616782342:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.49/2.07 % (3800684)Instruction limit reached!
% 8.49/2.07 % (3800684)------------------------------
% 8.49/2.07 % (3800684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800684)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800684)Termination reason: Instruction limit
% 8.49/2.07 % (3800684)Termination phase: Saturation
% 8.49/2.07 % (3800684)Time elapsed: 0.041 s
% 8.49/2.07 % (3800684)Peak memory usage: 88 MB
% 8.49/2.07 % (3800684)Instructions burned: 121 (million)
% 8.49/2.07 % (3800681)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=2542666104:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.49/2.07 % (3800682)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=2735445124:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.49/2.07 % (3800680)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=3026373589:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.49/2.07 % (3800683)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1899646547:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.49/2.07 % (3800683)Refutation not found, incomplete strategy
% 8.49/2.07 % (3800683)------------------------------
% 8.49/2.07 % (3800683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800683)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800683)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.07 % (3800683)Time elapsed: 0.001 s
% 8.49/2.07 % (3800683)Peak memory usage: 87 MB
% 8.49/2.07 % (3800686)dis-21_1_sil=8000:lcm=predicate:random_seed=2428705571: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)
% 8.49/2.07 % (3800685)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2874826353:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.49/2.07 % (3800686)Instruction limit reached!
% 8.49/2.07 % (3800686)------------------------------
% 8.49/2.07 % (3800686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800686)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800686)Termination reason: Instruction limit
% 8.49/2.07 % (3800686)Termination phase: Saturation
% 8.49/2.07 % (3800686)Time elapsed: 0.079 s
% 8.49/2.07 % (3800686)Peak memory usage: 89 MB
% 8.49/2.07 % (3800686)Instructions burned: 131 (million)
% 8.49/2.07 % (3800692)lrs+10_1_sil=8000:sp=occurrence:random_seed=2780575617:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.49/2.07 % (3800685)Instruction limit reached!
% 8.49/2.07 % (3800685)------------------------------
% 8.49/2.07 % (3800685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800685)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800685)Termination reason: Instruction limit
% 8.49/2.07 % (3800685)Termination phase: Saturation
% 8.49/2.07 % (3800685)Time elapsed: 0.096 s
% 8.49/2.07 % (3800685)Peak memory usage: 89 MB
% 8.49/2.07 % (3800685)Instructions burned: 139 (million)
% 8.49/2.07 % (3800692)Instruction limit reached!
% 8.49/2.07 % (3800692)------------------------------
% 8.49/2.07 % (3800692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800692)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800692)Termination reason: Instruction limit
% 8.49/2.07 % (3800692)Termination phase: Saturation
% 8.49/2.07 % (3800692)Time elapsed: 0.099 s
% 8.49/2.07 % (3800692)Peak memory usage: 91 MB
% 8.49/2.07 % (3800692)Instructions burned: 288 (million)
% 8.49/2.07 % (3800695)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1011574876:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.49/2.07 % (3800683)------------------------------
% 8.49/2.07 % (3800683)------------------------------
% 8.49/2.07 % (3800697)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1354743262:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.49/2.07 % (3800697)Refutation not found, incomplete strategy
% 8.49/2.07 % (3800697)------------------------------
% 8.49/2.07 % (3800697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800697)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800697)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.07 % (3800697)Time elapsed: 0.002 s
% 8.49/2.07 % (3800697)Peak memory usage: 88 MB
% 8.49/2.07 % (3800697)Instructions burned: 1 (million)
% 8.49/2.07 % (3800695)Instruction limit reached!
% 8.49/2.07 % (3800695)------------------------------
% 8.49/2.07 % (3800695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800695)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800695)Termination reason: Instruction limit
% 8.49/2.07 % (3800695)Termination phase: Saturation
% 8.49/2.07 % (3800695)Time elapsed: 0.076 s
% 8.49/2.07 % (3800695)Peak memory usage: 89 MB
% 8.49/2.07 % (3800695)Instructions burned: 158 (million)
% 8.49/2.07 % (3800698)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=2003821603:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.49/2.07 % (3800700)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2264813744:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.49/2.07 % (3800700)Refutation not found, incomplete strategy
% 8.49/2.07 % (3800700)------------------------------
% 8.49/2.07 % (3800700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800700)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800700)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.07 % (3800700)Time elapsed: 0.002 s
% 8.49/2.07 % (3800700)Peak memory usage: 88 MB
% 8.49/2.07 % (3800700)Instructions burned: 1 (million)
% 8.49/2.07 % (3800702)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3092506177:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.49/2.07 % (3800697)------------------------------
% 8.49/2.07 % (3800697)------------------------------
% 8.49/2.07 % (3800698)Instruction limit reached!
% 8.49/2.07 % (3800698)------------------------------
% 8.49/2.07 % (3800698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800698)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800698)Termination reason: Instruction limit
% 8.49/2.07 % (3800698)Termination phase: Saturation
% 8.49/2.07 % (3800698)Time elapsed: 0.144 s
% 8.49/2.07 % (3800698)Peak memory usage: 92 MB
% 8.49/2.07 % (3800698)Instructions burned: 249 (million)
% 8.49/2.07 % (3800682)Refutation not found, incomplete strategy
% 8.49/2.07 % (3800682)------------------------------
% 8.49/2.07 % (3800682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800682)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800682)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.07 % (3800682)Time elapsed: 0.555 s
% 8.49/2.07 % (3800682)Peak memory usage: 125 MB
% 8.49/2.07 % (3800682)Instructions burned: 828 (million)
% 8.49/2.07 % (3800706)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=562787199:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.49/2.07 % (3800706)Instruction limit reached!
% 8.49/2.07 % (3800706)------------------------------
% 8.49/2.07 % (3800706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800706)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800706)Termination reason: Instruction limit
% 8.49/2.07 % (3800706)Termination phase: Saturation
% 8.49/2.07 % (3800706)Time elapsed: 0.037 s
% 8.49/2.07 % (3800706)Peak memory usage: 89 MB
% 8.49/2.07 % (3800706)Instructions burned: 114 (million)
% 8.49/2.07 % (3800700)------------------------------
% 8.49/2.07 % (3800700)------------------------------
% 8.49/2.07 % (3800707)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1318223846:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.49/2.07 % (3800680)First to succeed.
% 8.49/2.07 % (3800680)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3800675"
% 8.49/2.07 % (3800707)Instruction limit reached!
% 8.49/2.07 % (3800707)------------------------------
% 8.49/2.07 % (3800707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800707)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800707)Termination reason: Instruction limit
% 8.49/2.07 % (3800707)Termination phase: Saturation
% 8.49/2.07 % (3800707)Time elapsed: 0.061 s
% 8.49/2.07 % (3800707)Peak memory usage: 88 MB
% 8.49/2.07 % (3800707)Instructions burned: 127 (million)
% 8.49/2.07 % (3800709)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1945860492:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.49/2.07 % (3800682)------------------------------
% 8.49/2.07 % (3800682)------------------------------
% 8.49/2.07 % (3800709)Instruction limit reached!
% 8.49/2.07 % (3800709)------------------------------
% 8.49/2.07 % (3800709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800709)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800709)Termination reason: Instruction limit
% 8.49/2.07 % (3800709)Termination phase: Saturation
% 8.49/2.07 % (3800709)Time elapsed: 0.039 s
% 8.49/2.07 % (3800709)Peak memory usage: 89 MB
% 8.49/2.07 % (3800709)Instructions burned: 117 (million)
% 8.49/2.07 % (3800710)lrs+10_1_sil=8000:sp=occurrence:random_seed=2834800321:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.49/2.07 % (3800712)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3334674963:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.49/2.07 % (3800715)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2504979541:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 8.49/2.07 % (3800712)Refutation not found, incomplete strategy
% 8.49/2.07 % (3800712)------------------------------
% 8.49/2.07 % (3800712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800712)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800712)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.07 % (3800712)Time elapsed: 0.001 s
% 8.49/2.07 % (3800712)Peak memory usage: 87 MB
% 8.49/2.07 % (3800714)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1265612250:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.49/2.07 % (3800715)Instruction limit reached!
% 8.49/2.07 % (3800715)------------------------------
% 8.49/2.07 % (3800715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.07 % (3800715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.07 % (3800715)CaDiCaL version: 2.1.3
% 8.49/2.07 % (3800715)Termination reason: Instruction limit
% 8.49/2.07 % (3800715)Termination phase: Saturation
% 8.49/2.07 % (3800715)Time elapsed: 0.039 s
% 8.49/2.07 % (3800715)Peak memory usage: 90 MB
% 8.49/2.07 % (3800715)Instructions burned: 135 (million)
% 8.49/2.07 % (3800680)Refutation found. Thanks to Tanya!
% 8.49/2.07 % SZS status Theorem for theBenchmark
% 8.49/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 8.83/2.16 % (3800680)------------------------------
% 8.83/2.16 % (3800680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.16 % (3800680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.16 % (3800680)CaDiCaL version: 2.1.3
% 8.83/2.16 % (3800680)Termination reason: Refutation
% 8.83/2.16 % (3800680)Time elapsed: 0.752 s
% 8.83/2.16 % (3800680)Peak memory usage: 129 MB
% 8.83/2.16 % (3800680)Instructions burned: 1102 (million)
% 8.83/2.16 % (3800680)------------------------------
% 8.83/2.16 % (3800680)------------------------------
% 8.83/2.16 % (3800675)Success in time 1.182 s
% 8.83/2.16 % Vampire exiting
%------------------------------------------------------------------------------