%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV542+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 : n010.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 5.79s 1.75s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 32
% Syntax : Number of formulae : 210 ( 65 unt; 21 def)
% Number of atoms : 424 ( 57 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 379 ( 165 ~; 171 |; 18 &)
% ( 20 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 119 !; 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(p(s(s(n(e)))),n(s(n(e))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast3_81) ).
fof(f27,negated_conjecture,
~ atleast3p(a(p(s(s(n(e)))),n(s(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ atleast3p(a(p(s(s(n(e)))),n(s(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(p(s(s(n(e)))),n(s(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(p(s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),
inference(definition_unfolding,[],[f64,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(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f77,plain,
p(sF4) = sF5,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF6 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f79,plain,
u(sF3,sF4) = sF6,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF7 = s(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f81,plain,
s(sF6) = sF7,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF8 = u(sF5,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f83,plain,
u(sF5,sF7) = sF8,
inference(reorient_equations,[],[f82]) ).
fof(f84,plain,
~ atleast3p(sF8),
inference(definition_folding,[],[f66,f83,f81,f79,f75,f73,f71,f69,f73,f71,f69,f77,f75,f73,f71,f69]) ).
fof(f85,plain,
mem(e,sF1),
inference(superposition,[],[f67,f69]) ).
fof(f86,plain,
mem(sF2,sF3),
inference(superposition,[],[f67,f73]) ).
fof(f87,plain,
mem(sF3,sF4),
inference(superposition,[],[f67,f75]) ).
fof(f88,plain,
mem(sF6,sF7),
inference(superposition,[],[f67,f81]) ).
fof(f89,plain,
! [X0] :
( ~ mem(X0,sF5)
| subq(X0,sF4) ),
inference(superposition,[],[f60,f77]) ).
fof(f92,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f50,f73]) ).
fof(f93,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f50,f75]) ).
fof(f95,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f46,f47]) ).
fof(f98,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f46,f49]) ).
fof(f99,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f102,plain,
! [X0] :
( ~ subq(X0,sF4)
| mem(X0,sF5) ),
inference(superposition,[],[f61,f77]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f53,f47]) ).
fof(f108,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF8) ),
inference(superposition,[],[f53,f83]) ).
fof(f109,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f53,f71]) ).
fof(f112,plain,
mem(sF6,sF8),
inference(resolution,[],[f108,f88]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f54,f47]) ).
fof(f120,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF8) ),
inference(superposition,[],[f54,f83]) ).
fof(f122,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF6) ),
inference(superposition,[],[f54,f79]) ).
fof(f124,plain,
mem(e,sF2),
inference(resolution,[],[f109,f85]) ).
fof(f130,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f52,f71]) ).
fof(f132,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f130,f49]) ).
fof(f138,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f132,f46]) ).
fof(f140,plain,
mem(sF2,sF6),
inference(resolution,[],[f122,f86]) ).
fof(f148,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f45,f124]) ).
fof(f152,plain,
! [X0] :
( ~ subq(sF4,X0)
| mem(sF3,X0) ),
inference(resolution,[],[f45,f87]) ).
fof(f155,plain,
! [X0] :
( ~ subq(sF8,X0)
| mem(sF6,X0) ),
inference(resolution,[],[f45,f112]) ).
fof(f157,plain,
mem(e,sF5),
inference(resolution,[],[f102,f98]) ).
fof(f182,definition,
( spl9_4
<=> subq(sF8,sF5) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f184,plain,
( subq(sF8,sF5)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f186,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f138,f47]) ).
fof(f190,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f186]) ).
fof(f194,definition,
( spl9_5
<=> mem(sF2,sF5) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f195,plain,
( ~ mem(sF2,sF5)
| spl9_5 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( mem(sF2,sF5)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f202,plain,
( subq(sF2,sF4)
| ~ spl9_5 ),
inference(resolution,[],[f196,f89]) ).
fof(f207,plain,
( sF1 = sF2
| ~ subq(sF1,sF2) ),
inference(resolution,[],[f190,f48]) ).
fof(f209,definition,
( spl9_7
<=> subq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f211,plain,
( ~ subq(sF1,sF2)
| spl9_7 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl9_8
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
fof(f215,plain,
( sF1 = sF2
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( ~ spl9_7
| spl9_8 ),
inference(avatar_split_clause,[],[f207,f213,f209]) ).
fof(f262,plain,
( mem(e,sF4)
| ~ spl9_5 ),
inference(resolution,[],[f148,f202]) ).
fof(f264,plain,
( e = sF3
| ~ spl9_5 ),
inference(resolution,[],[f262,f93]) ).
fof(f267,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl9_5 ),
inference(superposition,[],[f49,f264]) ).
fof(f268,plain,
( sF1 = s(sF3)
| ~ spl9_5 ),
inference(superposition,[],[f69,f264]) ).
fof(f274,plain,
( sF1 = sF4
| ~ spl9_5 ),
inference(forward_demodulation,[],[f268,f75]) ).
fof(f275,plain,
( sF2 = u(e,sF4)
| ~ spl9_5 ),
inference(superposition,[],[f71,f274]) ).
fof(f282,plain,
( sF2 = u(sF3,sF4)
| ~ spl9_5 ),
inference(forward_demodulation,[],[f275,f264]) ).
fof(f283,plain,
( sF2 = sF6
| ~ spl9_5 ),
inference(forward_demodulation,[],[f282,f79]) ).
fof(f284,plain,
( s(sF2) = sF7
| ~ spl9_5 ),
inference(superposition,[],[f81,f283]) ).
fof(f291,plain,
( sF3 = sF7
| ~ spl9_5 ),
inference(forward_demodulation,[],[f284,f73]) ).
fof(f295,plain,
( mem(sF6,sF3)
| ~ spl9_5 ),
inference(superposition,[],[f88,f291]) ).
fof(f297,plain,
( $false
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f295,f267]) ).
fof(f298,plain,
~ spl9_5,
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f304,definition,
( spl9_17
<=> mem(sF6,sF5) ),
introduced(definition,[new_symbols(definition,[spl9_17])],[avatar_definition]) ).
fof(f305,plain,
( mem(sF6,sF5)
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f344,plain,
mem(e,sF8),
inference(resolution,[],[f157,f120]) ).
fof(f398,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f107,f46]) ).
fof(f413,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f422,plain,
mem(sF4,sF5),
inference(resolution,[],[f99,f102]) ).
fof(f431,plain,
! [X0] :
( ~ subq(sF5,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f422,f45]) ).
fof(f443,plain,
subq(sF1,sF2),
inference(superposition,[],[f413,f71]) ).
fof(f444,plain,
subq(sF4,sF6),
inference(superposition,[],[f413,f79]) ).
fof(f445,plain,
( $false
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f443,f211]) ).
fof(f446,plain,
spl9_7,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f452,plain,
( mem(sF1,sF6)
| ~ spl9_8 ),
inference(superposition,[],[f140,f215]) ).
fof(f456,plain,
( ~ mem(sF1,sF5)
| spl9_5
| ~ spl9_8 ),
inference(superposition,[],[f195,f215]) ).
fof(f500,definition,
( spl9_30
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl9_30])],[avatar_definition]) ).
fof(f501,plain,
( ~ mem(e,sF3)
| spl9_30 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f502,plain,
( mem(e,sF3)
| ~ spl9_30 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f523,definition,
( spl9_35
<=> e = sF1 ),
introduced(definition,[new_symbols(definition,[spl9_35])],[avatar_definition]) ).
fof(f525,plain,
( e = sF1
| ~ spl9_35 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f544,plain,
( e = sF2
| ~ spl9_30 ),
inference(resolution,[],[f502,f92]) ).
fof(f546,plain,
( e = sF1
| ~ spl9_8
| ~ spl9_30 ),
inference(forward_demodulation,[],[f544,f215]) ).
fof(f548,plain,
( spl9_35
| ~ spl9_8
| ~ spl9_30 ),
inference(avatar_split_clause,[],[f546,f500,f213,f523]) ).
fof(f609,plain,
( sF4 = sF6
| ~ subq(sF6,sF4) ),
inference(resolution,[],[f444,f48]) ).
fof(f611,definition,
( spl9_38
<=> subq(sF6,sF4) ),
introduced(definition,[new_symbols(definition,[spl9_38])],[avatar_definition]) ).
fof(f615,definition,
( spl9_39
<=> sF4 = sF6 ),
introduced(definition,[new_symbols(definition,[spl9_39])],[avatar_definition]) ).
fof(f617,plain,
( sF4 = sF6
| ~ spl9_39 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( ~ spl9_38
| spl9_39 ),
inference(avatar_split_clause,[],[f609,f615,f611]) ).
fof(f633,plain,
! [X0] :
( ~ mem(sK0(X0,sF8),sF5)
| subq(X0,sF8) ),
inference(superposition,[],[f119,f83]) ).
fof(f643,plain,
( subq(sF5,sF8)
| subq(sF5,sF8) ),
inference(resolution,[],[f633,f46]) ).
fof(f646,plain,
subq(sF5,sF8),
inference(duplicate_literal_removal,[],[f643]) ).
fof(f751,plain,
( atleast3p(sF8)
| ~ atleast2p(sF5)
| subq(sF8,sF5) ),
inference(resolution,[],[f646,f63]) ).
fof(f752,plain,
( sF5 = sF8
| ~ subq(sF8,sF5) ),
inference(resolution,[],[f646,f48]) ).
fof(f754,definition,
( spl9_46
<=> sF5 = sF8 ),
introduced(definition,[new_symbols(definition,[spl9_46])],[avatar_definition]) ).
fof(f756,plain,
( sF5 = sF8
| ~ spl9_46 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f757,plain,
( ~ spl9_4
| spl9_46 ),
inference(avatar_split_clause,[],[f752,f754,f182]) ).
fof(f758,plain,
( ~ atleast2p(sF5)
| subq(sF8,sF5) ),
inference(forward_subsumption_resolution,[],[f751,f84]) ).
fof(f760,definition,
( spl9_47
<=> atleast2p(sF5) ),
introduced(definition,[new_symbols(definition,[spl9_47])],[avatar_definition]) ).
fof(f762,plain,
( ~ atleast2p(sF5)
| spl9_47 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f763,plain,
( spl9_4
| ~ spl9_47 ),
inference(avatar_split_clause,[],[f758,f760,f182]) ).
fof(f906,definition,
( spl9_58
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl9_58])],[avatar_definition]) ).
fof(f907,plain,
( sF1 != sF3
| spl9_58 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f908,plain,
( sF1 = sF3
| ~ spl9_58 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f1095,plain,
( subq(sF6,sF4)
| ~ spl9_17 ),
inference(resolution,[],[f305,f89]) ).
fof(f1146,plain,
( mem(sF1,sF4)
| ~ spl9_8
| ~ spl9_39 ),
inference(superposition,[],[f452,f617]) ).
fof(f1155,plain,
( mem(e,sF3)
| ~ spl9_58 ),
inference(superposition,[],[f85,f908]) ).
fof(f1169,plain,
( $false
| spl9_30
| ~ spl9_58 ),
inference(forward_subsumption_resolution,[],[f1155,f501]) ).
fof(f1170,plain,
( spl9_30
| ~ spl9_58 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1203,plain,
( mem(sF1,sF8)
| ~ spl9_35 ),
inference(superposition,[],[f344,f525]) ).
fof(f1210,plain,
( mem(sF1,sF5)
| ~ spl9_35
| ~ spl9_46 ),
inference(forward_demodulation,[],[f1203,f756]) ).
fof(f1216,plain,
( $false
| spl9_5
| ~ spl9_8
| ~ spl9_35
| ~ spl9_46 ),
inference(forward_subsumption_resolution,[],[f1210,f456]) ).
fof(f1217,plain,
( spl9_5
| ~ spl9_8
| ~ spl9_35
| ~ spl9_46 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1220,plain,
( mem(sF6,sF5)
| ~ spl9_4 ),
inference(resolution,[],[f184,f155]) ).
fof(f1565,plain,
! [X0] :
( mem(sF4,p(X0))
| ~ mem(X0,sF5)
| atleast2p(sF5) ),
inference(resolution,[],[f431,f62]) ).
fof(f1567,plain,
( ! [X0] :
( mem(sF4,p(X0))
| ~ mem(X0,sF5) )
| spl9_47 ),
inference(forward_subsumption_resolution,[],[f1565,f762]) ).
fof(f1569,plain,
( ! [X0] :
( ~ mem(X0,sF5)
| subq(sF4,X0) )
| spl9_47 ),
inference(resolution,[],[f1567,f60]) ).
fof(f1573,plain,
( subq(sF4,e)
| spl9_47 ),
inference(resolution,[],[f1569,f157]) ).
fof(f1591,definition,
( spl9_86
<=> subq(sF4,e) ),
introduced(definition,[new_symbols(definition,[spl9_86])],[avatar_definition]) ).
fof(f1593,plain,
( subq(sF4,e)
| ~ spl9_86 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1595,plain,
( spl9_86
| spl9_47 ),
inference(avatar_split_clause,[],[f1573,f760,f1591]) ).
fof(f1611,plain,
( mem(sF3,e)
| ~ spl9_86 ),
inference(resolution,[],[f1593,f152]) ).
fof(f1616,plain,
( $false
| ~ spl9_86 ),
inference(forward_subsumption_resolution,[],[f1611,f49]) ).
fof(f1617,plain,
~ spl9_86,
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1618,plain,
( spl9_17
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f1220,f182,f304]) ).
fof(f1619,plain,
( spl9_38
| ~ spl9_17 ),
inference(avatar_split_clause,[],[f1095,f304,f611]) ).
fof(f1777,plain,
( sF1 = sF3
| ~ spl9_8
| ~ spl9_39 ),
inference(resolution,[],[f1146,f93]) ).
fof(f1779,plain,
( $false
| ~ spl9_8
| ~ spl9_39
| spl9_58 ),
inference(forward_subsumption_resolution,[],[f1777,f907]) ).
fof(f1780,plain,
( ~ spl9_8
| ~ spl9_39
| spl9_58 ),
inference(avatar_contradiction_clause,[],[f1779]) ).
cnf(s4,plain,
( ~ spl9_7
| spl9_8 ),
inference(sat_conversion,[],[f216]) ).
cnf(s10,plain,
~ spl9_5,
inference(sat_conversion,[],[f298]) ).
cnf(s18,plain,
spl9_7,
inference(sat_conversion,[],[f446]) ).
cnf(s25,plain,
( ~ spl9_8
| ~ spl9_30
| spl9_35 ),
inference(sat_conversion,[],[f548]) ).
cnf(s29,plain,
( ~ spl9_38
| spl9_39 ),
inference(sat_conversion,[],[f618]) ).
cnf(s35,plain,
( ~ spl9_4
| spl9_46 ),
inference(sat_conversion,[],[f757]) ).
cnf(s36,plain,
( spl9_4
| ~ spl9_47 ),
inference(sat_conversion,[],[f763]) ).
cnf(s73,plain,
( spl9_30
| ~ spl9_58 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s81,plain,
( spl9_5
| ~ spl9_8
| ~ spl9_35
| ~ spl9_46 ),
inference(sat_conversion,[],[f1217]) ).
cnf(s107,plain,
( spl9_47
| spl9_86 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s108,plain,
~ spl9_86,
inference(sat_conversion,[],[f1617]) ).
cnf(s109,plain,
( ~ spl9_4
| spl9_17 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s110,plain,
( ~ spl9_17
| spl9_38 ),
inference(sat_conversion,[],[f1619]) ).
cnf(s124,plain,
( ~ spl9_8
| ~ spl9_39
| spl9_58 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s125,plain,
spl9_47,
inference(rat,[],[s107,s108]) ).
cnf(s126,plain,
spl9_4,
inference(rat,[],[s36,s125]) ).
cnf(s127,plain,
spl9_17,
inference(rat,[],[s109,s126]) ).
cnf(s128,plain,
spl9_38,
inference(rat,[],[s110,s127]) ).
cnf(s129,plain,
spl9_46,
inference(rat,[],[s35,s126]) ).
cnf(s132,plain,
spl9_39,
inference(rat,[],[s29,s128]) ).
cnf(s134,plain,
spl9_8,
inference(rat,[],[s4,s18]) ).
cnf(s135,plain,
spl9_58,
inference(rat,[],[s124,s132,s134]) ).
cnf(s136,plain,
~ spl9_35,
inference(rat,[],[s81,s129,s10,s134]) ).
cnf(s138,plain,
~ spl9_30,
inference(rat,[],[s25,s136,s134]) ).
cnf(s140,plain,
$false,
inference(rat,[],[s73,s135,s138]) ).
fof(f1781,plain,
$false,
inference(avatar_sat_refutation,[],[s140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV542+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 28 06:31:47 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 5.79/1.75 % (1718707)Detected formulas, will run a generic FOF schedule.
% 5.79/1.75 % (1718712)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=3918391269:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.79/1.75 % (1718717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1443752484:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.79/1.75 % (1718716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2082082222:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.79/1.75 % (1718718)dis-21_1_sil=8000:lcm=predicate:random_seed=3107683066: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)
% 5.79/1.75 % (1718714)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=1786259005:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.79/1.75 % (1718715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3077149896:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.79/1.75 % (1718713)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=1981995889:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.79/1.75 % (1718715)Refutation not found, incomplete strategy
% 5.79/1.75 % (1718715)------------------------------
% 5.79/1.75 % (1718715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718715)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718715)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.75 % (1718715)Time elapsed: 0.001 s
% 5.79/1.75 % (1718715)Peak memory usage: 87 MB
% 5.79/1.75 % (1718716)Instruction limit reached!
% 5.79/1.75 % (1718716)------------------------------
% 5.79/1.75 % (1718716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718716)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718716)Termination reason: Instruction limit
% 5.79/1.75 % (1718716)Termination phase: Saturation
% 5.79/1.75 % (1718716)Time elapsed: 0.071 s
% 5.79/1.75 % (1718716)Peak memory usage: 88 MB
% 5.79/1.75 % (1718716)Instructions burned: 119 (million)
% 5.79/1.75 % (1718718)Instruction limit reached!
% 5.79/1.75 % (1718718)------------------------------
% 5.79/1.75 % (1718718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718718)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718718)Termination reason: Instruction limit
% 5.79/1.75 % (1718718)Termination phase: Saturation
% 5.79/1.75 % (1718718)Time elapsed: 0.080 s
% 5.79/1.75 % (1718718)Peak memory usage: 89 MB
% 5.79/1.75 % (1718718)Instructions burned: 130 (million)
% 5.79/1.75 % (1718717)Instruction limit reached!
% 5.79/1.75 % (1718717)------------------------------
% 5.79/1.75 % (1718717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718717)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718717)Termination reason: Instruction limit
% 5.79/1.75 % (1718717)Termination phase: Saturation
% 5.79/1.75 % (1718717)Time elapsed: 0.102 s
% 5.79/1.75 % (1718717)Peak memory usage: 89 MB
% 5.79/1.75 % (1718717)Instructions burned: 140 (million)
% 5.79/1.75 % (1718726)lrs+10_1_sil=8000:sp=occurrence:random_seed=1819524373:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.79/1.75 % (1718727)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1543228772:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.79/1.75 % (1718727)Refutation not found, incomplete strategy
% 5.79/1.75 % (1718727)------------------------------
% 5.79/1.75 % (1718727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718727)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718727)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.75 % (1718727)Time elapsed: 0.001 s
% 5.79/1.75 % (1718727)Peak memory usage: 88 MB
% 5.79/1.75 % (1718727)Instructions burned: 1 (million)
% 5.79/1.75 % (1718728)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4050187913:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.79/1.75 % (1718728)Refutation not found, incomplete strategy
% 5.79/1.75 % (1718728)------------------------------
% 5.79/1.75 % (1718728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718728)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718728)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.75 % (1718728)Time elapsed: 0.001 s
% 5.79/1.75 % (1718728)Peak memory usage: 88 MB
% 5.79/1.75 % (1718715)------------------------------
% 5.79/1.75 % (1718715)------------------------------
% 5.79/1.75 % (1718732)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=4140266361:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.79/1.75 % (1718726)Instruction limit reached!
% 5.79/1.75 % (1718726)------------------------------
% 5.79/1.75 % (1718726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718726)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718726)Termination reason: Instruction limit
% 5.79/1.75 % (1718726)Termination phase: Saturation
% 5.79/1.75 % (1718726)Time elapsed: 0.186 s
% 5.79/1.75 % (1718726)Peak memory usage: 91 MB
% 5.79/1.75 % (1718726)Instructions burned: 286 (million)
% 5.79/1.75 % (1718732)Instruction limit reached!
% 5.79/1.75 % (1718732)------------------------------
% 5.79/1.75 % (1718732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718732)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718732)Termination reason: Instruction limit
% 5.79/1.75 % (1718732)Termination phase: Saturation
% 5.79/1.75 % (1718732)Time elapsed: 0.075 s
% 5.79/1.75 % (1718732)Peak memory usage: 91 MB
% 5.79/1.75 % (1718732)Instructions burned: 251 (million)
% 5.79/1.75 % (1718727)------------------------------
% 5.79/1.75 % (1718727)------------------------------
% 5.79/1.75 % (1718728)------------------------------
% 5.79/1.75 % (1718728)------------------------------
% 5.79/1.75 % (1718712)First to succeed.
% 5.79/1.75 % (1718712)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1718707"
% 5.79/1.75 % (1718735)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2761320257:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.79/1.75 % (1718734)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2502827048:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.79/1.75 % (1718734)Refutation not found, incomplete strategy
% 5.79/1.75 % (1718734)------------------------------
% 5.79/1.75 % (1718734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718734)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718734)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.75 % (1718734)Time elapsed: 0.001 s
% 5.79/1.75 % (1718734)Peak memory usage: 88 MB
% 5.79/1.75 % (1718734)Instructions burned: 1 (million)
% 5.79/1.75 % (1718714)Refutation not found, incomplete strategy
% 5.79/1.75 % (1718714)------------------------------
% 5.79/1.75 % (1718714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718714)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718714)Termination reason: Refutation not found, incomplete strategy
% 5.79/1.75 % (1718714)Time elapsed: 0.560 s
% 5.79/1.75 % (1718714)Peak memory usage: 127 MB
% 5.79/1.75 % (1718714)Instructions burned: 828 (million)
% 5.79/1.75 % (1718736)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=140968046:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.79/1.75 % (1718737)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1576877816:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.79/1.75 % (1718736)Instruction limit reached!
% 5.79/1.75 % (1718736)------------------------------
% 5.79/1.75 % (1718736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718736)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718736)Termination reason: Instruction limit
% 5.79/1.75 % (1718736)Termination phase: Saturation
% 5.79/1.75 % (1718736)Time elapsed: 0.069 s
% 5.79/1.75 % (1718736)Peak memory usage: 89 MB
% 5.79/1.75 % (1718736)Instructions burned: 113 (million)
% 5.79/1.75 % (1718737)Instruction limit reached!
% 5.79/1.75 % (1718737)------------------------------
% 5.79/1.75 % (1718737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.75 % (1718737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.75 % (1718737)CaDiCaL version: 2.1.3
% 5.79/1.75 % (1718737)Termination reason: Instruction limit
% 5.79/1.75 % (1718737)Termination phase: Saturation
% 5.79/1.75 % (1718737)Time elapsed: 0.064 s
% 5.79/1.75 % (1718737)Peak memory usage: 88 MB
% 5.79/1.75 % (1718737)Instructions burned: 127 (million)
% 5.79/1.75 % (1718712)Refutation found. Thanks to Tanya!
% 5.79/1.75 % SZS status Theorem for theBenchmark
% 5.79/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 7.00/1.95 % (1718712)------------------------------
% 7.00/1.95 % (1718712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/1.95 % (1718712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.95 % (1718712)CaDiCaL version: 2.1.3
% 7.00/1.95 % (1718712)Termination reason: Refutation
% 7.00/1.95 % (1718712)Time elapsed: 0.544 s
% 7.00/1.95 % (1718712)Peak memory usage: 131 MB
% 7.00/1.95 % (1718712)Instructions burned: 1125 (million)
% 7.00/1.95 % (1718712)------------------------------
% 7.00/1.95 % (1718712)------------------------------
% 7.00/1.95 % (1718707)Success in time 0.908 s
% 7.00/1.95 % Vampire exiting
%------------------------------------------------------------------------------