%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV535+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 8.05s 1.93s
% Output : Refutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 57
% Syntax : Number of formulae : 412 ( 99 unt; 45 def)
% Number of atoms : 869 ( 108 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 817 ( 360 ~; 389 |; 22 &)
% ( 40 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 33 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn 136 !; 8 ?)
% 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(f13,axiom,
! [X0] :
( atleast4p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast4p_def) ).
fof(f26,conjecture,
atleast4p(u(s(n(n(e))),u(s(p(s(n(e)))),n(n(s(n(e))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',atleast4_110) ).
fof(f27,negated_conjecture,
~ atleast4p(u(s(n(n(e))),u(s(p(s(n(e)))),n(n(s(n(e))))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ atleast4p(u(s(n(n(e))),u(s(p(s(n(e)))),n(n(s(n(e))))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) )
=> atleast4p(X0) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) )
=> atleast3p(X0) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) )
=> atleast2p(X0) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( atleast2p(X0)
| ! [X1] :
( ~ mem(X1,X0)
| subq(X0,p(X1)) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f36,plain,
! [X0] :
( atleast3p(X0)
| ! [X1] :
( ~ subq(X1,X0)
| ~ atleast2p(X1)
| subq(X0,X1) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f37,plain,
! [X0] :
( atleast4p(X0)
| ! [X1] :
( ~ subq(X1,X0)
| ~ atleast3p(X1)
| subq(X0,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f38,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,[],[f32]) ).
fof(f39,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,[],[f38]) ).
fof(f40,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))],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f42,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(f43,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,[],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f47,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f48,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f49,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f50,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f55,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f56,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f60,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f61,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X0,X1] :
( subq(X0,p(X1))
| ~ mem(X1,X0)
| atleast2p(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| atleast3p(X0)
| ~ atleast2p(X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f66,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| atleast4p(X0)
| ~ atleast3p(X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
~ atleast4p(u(s(n(n(e))),u(s(p(s(n(e)))),n(n(s(n(e))))))),
inference(cnf_transformation,[],[f28]) ).
fof(f68,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f61,f60]) ).
fof(f69,plain,
~ atleast4p(u(s(u(u(e,s(e)),s(u(e,s(e))))),u(s(p(s(u(e,s(e))))),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))))),
inference(definition_unfolding,[],[f67,f68,f68,f68,f68,f68,f68]) ).
fof(f70,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f53]) ).
fof(f71,definition,
sF1 = s(e),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f72,plain,
s(e) = sF1,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF2 = u(e,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f74,plain,
u(e,sF1) = sF2,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF3 = s(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f76,plain,
s(sF2) = sF3,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF4 = u(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f78,plain,
u(sF2,sF3) = sF4,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF5 = s(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f80,plain,
s(sF4) = sF5,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF6 = p(sF3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f82,plain,
p(sF3) = sF6,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF7 = s(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f84,plain,
s(sF6) = sF7,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF8 = s(sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f86,plain,
s(sF3) = sF8,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF9 = u(sF3,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f88,plain,
u(sF3,sF8) = sF9,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF10 = s(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f90,plain,
s(sF9) = sF10,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF11 = u(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f92,plain,
u(sF9,sF10) = sF11,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF12 = u(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f94,plain,
u(sF7,sF11) = sF12,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF13 = u(sF5,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f96,plain,
u(sF5,sF12) = sF13,
inference(reorient_equations,[],[f95]) ).
fof(f97,plain,
~ atleast4p(sF13),
inference(definition_folding,[],[f69,f96,f94,f92,f90,f88,f86,f76,f74,f72,f76,f74,f72,f88,f86,f76,f74,f72,f76,f74,f72,f84,f82,f76,f74,f72,f80,f78,f76,f74,f72,f74,f72]) ).
fof(f98,plain,
mem(e,sF1),
inference(superposition,[],[f70,f72]) ).
fof(f99,plain,
mem(sF2,sF3),
inference(superposition,[],[f70,f76]) ).
fof(f100,plain,
mem(sF3,sF8),
inference(superposition,[],[f70,f86]) ).
fof(f101,plain,
mem(sF4,sF5),
inference(superposition,[],[f70,f80]) ).
fof(f103,plain,
mem(sF9,sF10),
inference(superposition,[],[f70,f90]) ).
fof(f104,plain,
! [X0] :
( ~ mem(X0,sF6)
| subq(X0,sF3) ),
inference(superposition,[],[f62,f82]) ).
fof(f105,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f55,f74]) ).
fof(f107,plain,
! [X0] :
( ~ mem(X0,sF8)
| mem(X0,sF9) ),
inference(superposition,[],[f55,f88]) ).
fof(f110,plain,
! [X0] :
( ~ mem(X0,sF10)
| mem(X0,sF11) ),
inference(superposition,[],[f55,f92]) ).
fof(f112,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF4) ),
inference(superposition,[],[f56,f78]) ).
fof(f113,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF9) ),
inference(superposition,[],[f56,f88]) ).
fof(f114,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF13) ),
inference(superposition,[],[f56,f96]) ).
fof(f116,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF11) ),
inference(superposition,[],[f56,f92]) ).
fof(f118,plain,
! [X0] :
( ~ mem(X0,sF1)
| e = X0 ),
inference(superposition,[],[f52,f72]) ).
fof(f119,plain,
! [X0] :
( ~ mem(X0,sF3)
| sF2 = X0 ),
inference(superposition,[],[f52,f76]) ).
fof(f120,plain,
! [X0] :
( ~ mem(X0,sF8)
| sF3 = X0 ),
inference(superposition,[],[f52,f86]) ).
fof(f123,plain,
! [X0] :
( ~ mem(X0,sF10)
| sF9 = X0 ),
inference(superposition,[],[f52,f90]) ).
fof(f126,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f54,f74]) ).
fof(f128,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF8)
| mem(X0,sF3) ),
inference(superposition,[],[f54,f88]) ).
fof(f131,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF10)
| mem(X0,sF9) ),
inference(superposition,[],[f54,f92]) ).
fof(f132,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f126,f51]) ).
fof(f133,plain,
mem(e,sF2),
inference(resolution,[],[f105,f98]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f49,f56]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f49,f55]) ).
fof(f136,plain,
mem(sF3,sF9),
inference(resolution,[],[f100,f107]) ).
fof(f140,plain,
mem(sF2,sF9),
inference(resolution,[],[f113,f99]) ).
fof(f153,plain,
mem(sF9,sF11),
inference(resolution,[],[f103,f110]) ).
fof(f154,plain,
mem(sF4,sF13),
inference(resolution,[],[f101,f114]) ).
fof(f172,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f132,f48]) ).
fof(f180,plain,
mem(e,sF4),
inference(resolution,[],[f112,f133]) ).
fof(f195,plain,
mem(sF3,sF11),
inference(resolution,[],[f136,f116]) ).
fof(f214,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f47,f133]) ).
fof(f217,plain,
! [X0] :
( ~ subq(sF3,X0)
| mem(sF2,X0) ),
inference(resolution,[],[f47,f99]) ).
fof(f219,plain,
! [X0] :
( ~ subq(sF9,X0)
| mem(sF2,X0) ),
inference(resolution,[],[f47,f140]) ).
fof(f229,plain,
! [X0] :
( ~ subq(sF13,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f47,f154]) ).
fof(f234,plain,
! [X0] :
( ~ subq(sF11,X0)
| mem(sF9,X0) ),
inference(resolution,[],[f47,f153]) ).
fof(f253,definition,
( spl14_3
<=> subq(sF13,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f254,plain,
( ~ subq(sF13,sF12)
| spl14_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( subq(sF13,sF12)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f276,definition,
( spl14_7
<=> subq(sF13,sF11) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f277,plain,
( ~ subq(sF13,sF11)
| spl14_7 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f278,plain,
( subq(sF13,sF11)
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f309,plain,
! [X0] :
( ~ mem(sF3,X0)
| subq(X0,sF6)
| atleast2p(X0) ),
inference(superposition,[],[f64,f82]) ).
fof(f319,definition,
( spl14_14
<=> atleast2p(sF11) ),
introduced(definition,[new_symbols(definition,[spl14_14])],[avatar_definition]) ).
fof(f320,plain,
( ~ atleast2p(sF11)
| spl14_14 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f321,plain,
( atleast2p(sF11)
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f327,definition,
( spl14_16
<=> atleast2p(sF9) ),
introduced(definition,[new_symbols(definition,[spl14_16])],[avatar_definition]) ).
fof(f328,plain,
( ~ atleast2p(sF9)
| spl14_16 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( atleast2p(sF9)
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f351,plain,
( subq(sF9,sF6)
| atleast2p(sF9) ),
inference(resolution,[],[f309,f136]) ).
fof(f352,plain,
( subq(sF11,sF6)
| atleast2p(sF11) ),
inference(resolution,[],[f309,f195]) ).
fof(f380,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f172,f49]) ).
fof(f384,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f390,definition,
( spl14_26
<=> mem(sF2,sF6) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
fof(f391,plain,
( ~ mem(sF2,sF6)
| spl14_26 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( mem(sF2,sF6)
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f408,plain,
( sF1 = sF2
| ~ subq(sF1,sF2) ),
inference(resolution,[],[f384,f50]) ).
fof(f410,definition,
( spl14_30
<=> subq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl14_30])],[avatar_definition]) ).
fof(f412,plain,
( ~ subq(sF1,sF2)
| spl14_30 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,definition,
( spl14_31
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl14_31])],[avatar_definition]) ).
fof(f416,plain,
( sF1 = sF2
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,plain,
( ~ spl14_30
| spl14_31 ),
inference(avatar_split_clause,[],[f408,f414,f410]) ).
fof(f418,plain,
( subq(sF2,sF3)
| ~ spl14_26 ),
inference(resolution,[],[f392,f104]) ).
fof(f420,plain,
( mem(e,sF3)
| ~ spl14_26 ),
inference(resolution,[],[f418,f214]) ).
fof(f425,definition,
( spl14_32
<=> subq(sF3,sF2) ),
introduced(definition,[new_symbols(definition,[spl14_32])],[avatar_definition]) ).
fof(f426,plain,
( subq(sF3,sF2)
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( ~ subq(sF3,sF2)
| spl14_32 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f429,definition,
( spl14_33
<=> sF2 = sF3 ),
introduced(definition,[new_symbols(definition,[spl14_33])],[avatar_definition]) ).
fof(f430,plain,
( sF2 != sF3
| spl14_33 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( sF2 = sF3
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f433,plain,
( e = sF2
| ~ spl14_26 ),
inference(resolution,[],[f420,f119]) ).
fof(f442,plain,
( ! [X0] : ~ mem(X0,sF2)
| ~ spl14_26 ),
inference(superposition,[],[f51,f433]) ).
fof(f443,plain,
( sF1 = s(sF2)
| ~ spl14_26 ),
inference(superposition,[],[f72,f433]) ).
fof(f451,plain,
( sF1 = sF3
| ~ spl14_26 ),
inference(forward_demodulation,[],[f443,f76]) ).
fof(f452,plain,
( sF2 = u(e,sF3)
| ~ spl14_26 ),
inference(superposition,[],[f74,f451]) ).
fof(f454,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) )
| ~ spl14_26 ),
inference(superposition,[],[f105,f451]) ).
fof(f459,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f454,f442]) ).
fof(f460,plain,
( sF2 = u(sF2,sF3)
| ~ spl14_26 ),
inference(forward_demodulation,[],[f452,f433]) ).
fof(f461,plain,
( sF2 = sF4
| ~ spl14_26 ),
inference(forward_demodulation,[],[f460,f78]) ).
fof(f462,plain,
( s(sF2) = sF5
| ~ spl14_26 ),
inference(superposition,[],[f80,f461]) ).
fof(f469,plain,
( sF3 = sF5
| ~ spl14_26 ),
inference(forward_demodulation,[],[f462,f76]) ).
fof(f471,plain,
( mem(sF4,sF3)
| ~ spl14_26 ),
inference(superposition,[],[f101,f469]) ).
fof(f474,plain,
( $false
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f471,f459]) ).
fof(f475,plain,
~ spl14_26,
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f573,definition,
( spl14_48
<=> mem(sF4,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_48])],[avatar_definition]) ).
fof(f574,plain,
( mem(sF4,sF9)
| ~ spl14_48 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f575,plain,
( ~ mem(sF4,sF9)
| spl14_48 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f583,plain,
( sF12 = sF13
| ~ subq(sF12,sF13)
| ~ spl14_3 ),
inference(resolution,[],[f255,f50]) ).
fof(f585,definition,
( spl14_49
<=> subq(sF12,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_49])],[avatar_definition]) ).
fof(f586,plain,
( subq(sF12,sF13)
| ~ spl14_49 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( ~ subq(sF12,sF13)
| spl14_49 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f589,definition,
( spl14_50
<=> sF12 = sF13 ),
introduced(definition,[new_symbols(definition,[spl14_50])],[avatar_definition]) ).
fof(f591,plain,
( sF12 = sF13
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f592,plain,
( ~ spl14_49
| spl14_50
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f583,f253,f589,f585]) ).
fof(f598,definition,
( spl14_52
<=> atleast4p(sF12) ),
introduced(definition,[new_symbols(definition,[spl14_52])],[avatar_definition]) ).
fof(f624,plain,
( mem(sF4,sF11)
| ~ spl14_7 ),
inference(resolution,[],[f278,f229]) ).
fof(f628,definition,
( spl14_56
<=> subq(sF11,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_56])],[avatar_definition]) ).
fof(f629,plain,
( subq(sF11,sF13)
| ~ spl14_56 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f630,plain,
( ~ subq(sF11,sF13)
| spl14_56 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f774,definition,
( spl14_76
<=> mem(sF3,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_76])],[avatar_definition]) ).
fof(f775,plain,
( mem(sF3,sF3)
| ~ spl14_76 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f852,definition,
( spl14_77
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_77])],[avatar_definition]) ).
fof(f853,plain,
( ~ mem(e,sF3)
| spl14_77 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f854,plain,
( mem(e,sF3)
| ~ spl14_77 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f856,definition,
( spl14_78
<=> mem(e,sF8) ),
introduced(definition,[new_symbols(definition,[spl14_78])],[avatar_definition]) ).
fof(f857,plain,
( ~ mem(e,sF8)
| spl14_78 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f858,plain,
( mem(e,sF8)
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f919,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f135,f48]) ).
fof(f937,plain,
! [X0] :
( ~ mem(sK0(X0,sF13),sF12)
| subq(X0,sF13) ),
inference(superposition,[],[f135,f96]) ).
fof(f951,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f919]) ).
fof(f953,plain,
( subq(sF12,sF13)
| subq(sF12,sF13) ),
inference(resolution,[],[f937,f48]) ).
fof(f956,plain,
subq(sF12,sF13),
inference(duplicate_literal_removal,[],[f953]) ).
fof(f958,plain,
( $false
| spl14_49 ),
inference(forward_subsumption_resolution,[],[f956,f587]) ).
fof(f959,plain,
spl14_49,
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f1026,definition,
( spl14_90
<=> mem(e,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_90])],[avatar_definition]) ).
fof(f1028,plain,
( mem(e,sF9)
| ~ spl14_90 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1056,definition,
( spl14_96
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl14_96])],[avatar_definition]) ).
fof(f1057,plain,
( e != sF3
| spl14_96 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1058,plain,
( e = sF3
| ~ spl14_96 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1086,plain,
( e = sF2
| ~ spl14_77 ),
inference(resolution,[],[f854,f119]) ).
fof(f1091,plain,
( e = sF3
| ~ spl14_78 ),
inference(resolution,[],[f858,f120]) ).
fof(f1095,plain,
( spl14_96
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f1091,f856,f1056]) ).
fof(f1099,plain,
( ! [X0] : ~ mem(X0,sF2)
| ~ spl14_77 ),
inference(superposition,[],[f51,f1086]) ).
fof(f1100,plain,
( sF1 = s(sF2)
| ~ spl14_77 ),
inference(superposition,[],[f72,f1086]) ).
fof(f1108,plain,
( sF1 = sF3
| ~ spl14_77 ),
inference(forward_demodulation,[],[f1100,f76]) ).
fof(f1109,plain,
( sF2 = u(e,sF3)
| ~ spl14_77 ),
inference(superposition,[],[f74,f1108]) ).
fof(f1111,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) )
| ~ spl14_77 ),
inference(superposition,[],[f105,f1108]) ).
fof(f1118,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl14_77 ),
inference(forward_subsumption_resolution,[],[f1111,f1099]) ).
fof(f1119,plain,
( sF2 = u(sF2,sF3)
| ~ spl14_77 ),
inference(forward_demodulation,[],[f1109,f1086]) ).
fof(f1120,plain,
( sF2 = sF4
| ~ spl14_77 ),
inference(forward_demodulation,[],[f1119,f78]) ).
fof(f1121,plain,
( s(sF2) = sF5
| ~ spl14_77 ),
inference(superposition,[],[f80,f1120]) ).
fof(f1130,plain,
( sF3 = sF5
| ~ spl14_77 ),
inference(forward_demodulation,[],[f1121,f76]) ).
fof(f1132,plain,
( mem(sF4,sF3)
| ~ spl14_77 ),
inference(superposition,[],[f101,f1130]) ).
fof(f1140,plain,
( $false
| ~ spl14_77 ),
inference(forward_subsumption_resolution,[],[f1132,f1118]) ).
fof(f1141,plain,
~ spl14_77,
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1144,plain,
( mem(e,sF8)
| mem(e,sF3)
| ~ spl14_90 ),
inference(resolution,[],[f1028,f128]) ).
fof(f1146,plain,
( mem(e,sF3)
| spl14_78
| ~ spl14_90 ),
inference(forward_subsumption_resolution,[],[f1144,f857]) ).
fof(f1147,plain,
( $false
| spl14_77
| spl14_78
| ~ spl14_90 ),
inference(forward_subsumption_resolution,[],[f1146,f853]) ).
fof(f1148,plain,
( spl14_77
| spl14_78
| ~ spl14_90 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1176,plain,
( atleast4p(sF13)
| ~ atleast3p(sF12)
| subq(sF13,sF12)
| ~ spl14_49 ),
inference(resolution,[],[f586,f66]) ).
fof(f1178,plain,
( ~ atleast3p(sF12)
| subq(sF13,sF12)
| ~ spl14_49 ),
inference(forward_subsumption_resolution,[],[f1176,f97]) ).
fof(f1180,plain,
( ~ atleast3p(sF12)
| spl14_3
| ~ spl14_49 ),
inference(forward_subsumption_resolution,[],[f1178,f254]) ).
fof(f1273,plain,
subq(sF1,sF2),
inference(superposition,[],[f951,f74]) ).
fof(f1274,plain,
subq(sF3,sF4),
inference(superposition,[],[f951,f78]) ).
fof(f1277,plain,
subq(sF11,sF12),
inference(superposition,[],[f951,f94]) ).
fof(f1279,plain,
( $false
| spl14_30 ),
inference(forward_subsumption_resolution,[],[f1273,f412]) ).
fof(f1280,plain,
spl14_30,
inference(avatar_contradiction_clause,[],[f1279]) ).
fof(f1284,plain,
( ! [X0] :
( ~ mem(X0,sF2)
| e = X0 )
| ~ spl14_31 ),
inference(superposition,[],[f118,f416]) ).
fof(f1305,definition,
( spl14_111
<=> sF3 = sF4 ),
introduced(definition,[new_symbols(definition,[spl14_111])],[avatar_definition]) ).
fof(f1307,plain,
( sF3 = sF4
| ~ spl14_111 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1385,plain,
( atleast3p(sF12)
| ~ atleast2p(sF11)
| subq(sF12,sF11) ),
inference(resolution,[],[f1277,f65]) ).
fof(f1386,plain,
( atleast4p(sF12)
| ~ atleast3p(sF11)
| subq(sF12,sF11) ),
inference(resolution,[],[f1277,f66]) ).
fof(f1387,plain,
( sF11 = sF12
| ~ subq(sF12,sF11) ),
inference(resolution,[],[f1277,f50]) ).
fof(f1389,definition,
( spl14_126
<=> subq(sF12,sF11) ),
introduced(definition,[new_symbols(definition,[spl14_126])],[avatar_definition]) ).
fof(f1391,plain,
( ~ subq(sF12,sF11)
| spl14_126 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1393,definition,
( spl14_127
<=> sF11 = sF12 ),
introduced(definition,[new_symbols(definition,[spl14_127])],[avatar_definition]) ).
fof(f1395,plain,
( sF11 = sF12
| ~ spl14_127 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f1396,plain,
( ~ spl14_126
| spl14_127 ),
inference(avatar_split_clause,[],[f1387,f1393,f1389]) ).
fof(f1398,plain,
( ~ atleast2p(sF11)
| subq(sF12,sF11)
| spl14_3
| ~ spl14_49 ),
inference(forward_subsumption_resolution,[],[f1385,f1180]) ).
fof(f1400,plain,
( subq(sF12,sF11)
| spl14_3
| ~ spl14_14
| ~ spl14_49 ),
inference(forward_subsumption_resolution,[],[f1398,f321]) ).
fof(f1401,plain,
( spl14_126
| spl14_3
| ~ spl14_14
| ~ spl14_49 ),
inference(avatar_split_clause,[],[f1400,f585,f319,f253,f1389]) ).
fof(f1409,plain,
( atleast4p(sF12)
| ~ atleast3p(sF11)
| spl14_126 ),
inference(forward_subsumption_resolution,[],[f1386,f1391]) ).
fof(f1415,definition,
( spl14_129
<=> atleast3p(sF11) ),
introduced(definition,[new_symbols(definition,[spl14_129])],[avatar_definition]) ).
fof(f1416,plain,
( ~ atleast3p(sF11)
| spl14_129 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1417,plain,
( atleast3p(sF11)
| ~ spl14_129 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1419,plain,
( ~ spl14_129
| spl14_52
| spl14_126 ),
inference(avatar_split_clause,[],[f1409,f1389,f598,f1415]) ).
fof(f1519,plain,
( ~ atleast4p(sF12)
| ~ spl14_50 ),
inference(superposition,[],[f97,f591]) ).
fof(f1641,definition,
( spl14_137
<=> mem(sF9,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_137])],[avatar_definition]) ).
fof(f1643,plain,
( mem(sF9,sF3)
| ~ spl14_137 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f1646,plain,
( ~ spl14_52
| ~ spl14_50 ),
inference(avatar_split_clause,[],[f1519,f589,f598]) ).
fof(f1952,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(resolution,[],[f134,f48]) ).
fof(f1987,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literal_removal,[],[f1952]) ).
fof(f2050,plain,
subq(sF3,sF9),
inference(superposition,[],[f1987,f88]) ).
fof(f2053,plain,
subq(sF9,sF11),
inference(superposition,[],[f1987,f92]) ).
fof(f2069,definition,
( spl14_141
<=> sF2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl14_141])],[avatar_definition]) ).
fof(f2070,plain,
( sF2 != sF4
| spl14_141 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f2071,plain,
( sF2 = sF4
| ~ spl14_141 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f2084,plain,
( sF3 = sF9
| ~ subq(sF9,sF3) ),
inference(resolution,[],[f2050,f50]) ).
fof(f2086,definition,
( spl14_142
<=> subq(sF9,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_142])],[avatar_definition]) ).
fof(f2088,plain,
( ~ subq(sF9,sF3)
| spl14_142 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f2090,definition,
( spl14_143
<=> sF3 = sF9 ),
introduced(definition,[new_symbols(definition,[spl14_143])],[avatar_definition]) ).
fof(f2092,plain,
( sF3 = sF9
| ~ spl14_143 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2093,plain,
( ~ spl14_142
| spl14_143 ),
inference(avatar_split_clause,[],[f2084,f2090,f2086]) ).
fof(f2115,plain,
( atleast3p(sF11)
| ~ atleast2p(sF9)
| subq(sF11,sF9) ),
inference(resolution,[],[f2053,f65]) ).
fof(f2117,plain,
( sF9 = sF11
| ~ subq(sF11,sF9) ),
inference(resolution,[],[f2053,f50]) ).
fof(f2119,definition,
( spl14_147
<=> subq(sF11,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_147])],[avatar_definition]) ).
fof(f2123,definition,
( spl14_148
<=> sF9 = sF11 ),
introduced(definition,[new_symbols(definition,[spl14_148])],[avatar_definition]) ).
fof(f2125,plain,
( sF9 = sF11
| ~ spl14_148 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2126,plain,
( ~ spl14_147
| spl14_148 ),
inference(avatar_split_clause,[],[f2117,f2123,f2119]) ).
fof(f2128,plain,
( ~ atleast2p(sF9)
| subq(sF11,sF9)
| spl14_129 ),
inference(forward_subsumption_resolution,[],[f2115,f1416]) ).
fof(f2129,plain,
( subq(sF11,sF9)
| ~ spl14_16
| spl14_129 ),
inference(forward_subsumption_resolution,[],[f2128,f329]) ).
fof(f2130,plain,
( spl14_147
| ~ spl14_16
| spl14_129 ),
inference(avatar_split_clause,[],[f2129,f1415,f327,f2119]) ).
fof(f2131,plain,
( subq(sF9,sF6)
| spl14_16 ),
inference(forward_subsumption_resolution,[],[f351,f328]) ).
fof(f2133,plain,
( mem(sF2,sF6)
| spl14_16 ),
inference(resolution,[],[f2131,f219]) ).
fof(f2139,plain,
( $false
| spl14_16
| spl14_26 ),
inference(forward_subsumption_resolution,[],[f2133,f391]) ).
fof(f2140,plain,
( spl14_16
| spl14_26 ),
inference(avatar_contradiction_clause,[],[f2139]) ).
fof(f2292,plain,
( subq(sF11,sF13)
| ~ spl14_49
| ~ spl14_127 ),
inference(superposition,[],[f586,f1395]) ).
fof(f2301,plain,
( $false
| ~ spl14_49
| spl14_56
| ~ spl14_127 ),
inference(forward_subsumption_resolution,[],[f2292,f630]) ).
fof(f2302,plain,
( ~ spl14_49
| spl14_56
| ~ spl14_127 ),
inference(avatar_contradiction_clause,[],[f2301]) ).
fof(f2343,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl14_7 ),
inference(resolution,[],[f624,f131]) ).
fof(f2346,plain,
( mem(sF4,sF10)
| ~ spl14_7
| spl14_48 ),
inference(forward_subsumption_resolution,[],[f2343,f575]) ).
fof(f2347,plain,
( sF4 = sF9
| ~ spl14_7
| spl14_48 ),
inference(resolution,[],[f2346,f123]) ).
fof(f2355,plain,
( mem(e,sF9)
| ~ spl14_7
| spl14_48 ),
inference(superposition,[],[f180,f2347]) ).
fof(f2373,plain,
( mem(sF4,sF8)
| mem(sF4,sF3)
| ~ spl14_48 ),
inference(resolution,[],[f574,f128]) ).
fof(f2376,definition,
( spl14_152
<=> mem(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_152])],[avatar_definition]) ).
fof(f2378,plain,
( mem(sF4,sF3)
| ~ spl14_152 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f2380,definition,
( spl14_153
<=> mem(sF4,sF8) ),
introduced(definition,[new_symbols(definition,[spl14_153])],[avatar_definition]) ).
fof(f2382,plain,
( mem(sF4,sF8)
| ~ spl14_153 ),
inference(avatar_component_clause,[],[f2380]) ).
fof(f2383,plain,
( spl14_152
| spl14_153
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f2373,f573,f2380,f2376]) ).
fof(f2387,plain,
( spl14_90
| ~ spl14_7
| spl14_48 ),
inference(avatar_split_clause,[],[f2355,f573,f276,f1026]) ).
fof(f2468,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl14_96 ),
inference(superposition,[],[f51,f1058]) ).
fof(f2469,plain,
( sF1 = s(sF3)
| ~ spl14_96 ),
inference(superposition,[],[f72,f1058]) ).
fof(f2470,plain,
( sF2 = u(sF3,sF1)
| ~ spl14_96 ),
inference(superposition,[],[f74,f1058]) ).
fof(f2485,plain,
( sF2 = u(sF3,sF2)
| ~ spl14_31
| ~ spl14_96 ),
inference(forward_demodulation,[],[f2470,f416]) ).
fof(f2486,plain,
( sF1 = sF8
| ~ spl14_96 ),
inference(forward_demodulation,[],[f2469,f86]) ).
fof(f2487,plain,
( sF2 = sF8
| ~ spl14_31
| ~ spl14_96 ),
inference(forward_demodulation,[],[f2486,f416]) ).
fof(f2508,plain,
( sF9 = u(sF3,sF2)
| ~ spl14_31
| ~ spl14_96 ),
inference(superposition,[],[f88,f2487]) ).
fof(f2529,plain,
( sF2 = sF9
| ~ spl14_31
| ~ spl14_96 ),
inference(forward_demodulation,[],[f2508,f2485]) ).
fof(f2548,plain,
( s(sF2) = sF10
| ~ spl14_31
| ~ spl14_96 ),
inference(superposition,[],[f90,f2529]) ).
fof(f2622,plain,
( sF3 = sF10
| ~ spl14_31
| ~ spl14_96 ),
inference(forward_demodulation,[],[f2548,f76]) ).
fof(f2748,plain,
( mem(sF9,sF3)
| ~ spl14_31
| ~ spl14_96 ),
inference(superposition,[],[f103,f2622]) ).
fof(f2766,plain,
( $false
| ~ spl14_31
| ~ spl14_96 ),
inference(forward_subsumption_resolution,[],[f2748,f2468]) ).
fof(f2767,plain,
( ~ spl14_31
| ~ spl14_96 ),
inference(avatar_contradiction_clause,[],[f2766]) ).
fof(f2871,plain,
( mem(e,sF3)
| ~ spl14_33 ),
inference(superposition,[],[f133,f431]) ).
fof(f2893,plain,
( $false
| ~ spl14_33
| spl14_77 ),
inference(forward_subsumption_resolution,[],[f2871,f853]) ).
fof(f2894,plain,
( ~ spl14_33
| spl14_77 ),
inference(avatar_contradiction_clause,[],[f2893]) ).
fof(f2905,plain,
( mem(sF2,sF2)
| ~ spl14_32 ),
inference(resolution,[],[f426,f217]) ).
fof(f2913,plain,
( mem(sF9,sF9)
| ~ spl14_148 ),
inference(superposition,[],[f153,f2125]) ).
fof(f2932,plain,
( mem(sF9,sF8)
| mem(sF9,sF3)
| ~ spl14_148 ),
inference(resolution,[],[f2913,f128]) ).
fof(f2935,definition,
( spl14_156
<=> mem(sF9,sF8) ),
introduced(definition,[new_symbols(definition,[spl14_156])],[avatar_definition]) ).
fof(f2937,plain,
( mem(sF9,sF8)
| ~ spl14_156 ),
inference(avatar_component_clause,[],[f2935]) ).
fof(f2938,plain,
( spl14_137
| spl14_156
| ~ spl14_148 ),
inference(avatar_split_clause,[],[f2932,f2123,f2935,f1641]) ).
fof(f2940,plain,
( sF3 = sF9
| ~ spl14_156 ),
inference(resolution,[],[f2937,f120]) ).
fof(f2943,plain,
( spl14_143
| ~ spl14_156 ),
inference(avatar_split_clause,[],[f2940,f2935,f2090]) ).
fof(f2944,plain,
( sF2 = sF9
| ~ spl14_137 ),
inference(resolution,[],[f1643,f119]) ).
fof(f2953,plain,
( mem(sF3,sF2)
| ~ spl14_137 ),
inference(superposition,[],[f136,f2944]) ).
fof(f3091,plain,
( e = sF3
| ~ spl14_31
| ~ spl14_137 ),
inference(resolution,[],[f2953,f1284]) ).
fof(f3097,plain,
( $false
| ~ spl14_31
| spl14_96
| ~ spl14_137 ),
inference(forward_subsumption_resolution,[],[f3091,f1057]) ).
fof(f3098,plain,
( ~ spl14_31
| spl14_96
| ~ spl14_137 ),
inference(avatar_contradiction_clause,[],[f3097]) ).
fof(f3242,plain,
( mem(sF3,sF3)
| ~ spl14_143 ),
inference(superposition,[],[f136,f2092]) ).
fof(f3258,plain,
( spl14_76
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f3242,f2090,f774]) ).
fof(f3317,plain,
( sF2 = sF4
| ~ spl14_152 ),
inference(resolution,[],[f2378,f119]) ).
fof(f3321,plain,
( $false
| spl14_141
| ~ spl14_152 ),
inference(forward_subsumption_resolution,[],[f3317,f2070]) ).
fof(f3322,plain,
( spl14_141
| ~ spl14_152 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3324,plain,
( sF3 = sF4
| ~ spl14_153 ),
inference(resolution,[],[f2382,f120]) ).
fof(f3327,plain,
( spl14_111
| ~ spl14_153 ),
inference(avatar_split_clause,[],[f3324,f2380,f1305]) ).
fof(f3333,plain,
( mem(e,sF3)
| ~ spl14_111 ),
inference(superposition,[],[f180,f1307]) ).
fof(f3341,plain,
( $false
| spl14_77
| ~ spl14_111 ),
inference(forward_subsumption_resolution,[],[f3333,f853]) ).
fof(f3342,plain,
( spl14_77
| ~ spl14_111 ),
inference(avatar_contradiction_clause,[],[f3341]) ).
fof(f3404,plain,
( subq(sF3,sF2)
| ~ spl14_141 ),
inference(superposition,[],[f1274,f2071]) ).
fof(f3458,plain,
( e = sF2
| ~ spl14_31
| ~ spl14_32 ),
inference(resolution,[],[f2905,f1284]) ).
fof(f3464,plain,
( sF1 = s(sF2)
| ~ spl14_31
| ~ spl14_32 ),
inference(superposition,[],[f72,f3458]) ).
fof(f3493,plain,
( sF1 = sF3
| ~ spl14_31
| ~ spl14_32 ),
inference(forward_demodulation,[],[f3464,f76]) ).
fof(f3496,plain,
( sF2 = sF3
| ~ spl14_31
| ~ spl14_32 ),
inference(forward_demodulation,[],[f3493,f416]) ).
fof(f3497,plain,
( $false
| ~ spl14_31
| ~ spl14_32
| spl14_33 ),
inference(forward_subsumption_resolution,[],[f3496,f430]) ).
fof(f3498,plain,
( ~ spl14_31
| ~ spl14_32
| spl14_33 ),
inference(avatar_contradiction_clause,[],[f3497]) ).
fof(f3501,plain,
( $false
| spl14_32
| ~ spl14_141 ),
inference(forward_subsumption_resolution,[],[f3404,f427]) ).
fof(f3502,plain,
( spl14_32
| ~ spl14_141 ),
inference(avatar_contradiction_clause,[],[f3501]) ).
fof(f3533,plain,
( subq(sF11,sF6)
| spl14_14 ),
inference(forward_subsumption_resolution,[],[f352,f320]) ).
fof(f3632,plain,
( mem(sF9,sF6)
| spl14_14 ),
inference(resolution,[],[f3533,f234]) ).
fof(f3647,plain,
( subq(sF9,sF3)
| spl14_14 ),
inference(resolution,[],[f3632,f104]) ).
fof(f3649,plain,
( $false
| spl14_14
| spl14_142 ),
inference(forward_subsumption_resolution,[],[f3647,f2088]) ).
fof(f3650,plain,
( spl14_14
| spl14_142 ),
inference(avatar_contradiction_clause,[],[f3649]) ).
fof(f3731,plain,
( sF2 = sF3
| ~ spl14_76 ),
inference(resolution,[],[f775,f119]) ).
fof(f3735,plain,
( $false
| spl14_33
| ~ spl14_76 ),
inference(forward_subsumption_resolution,[],[f3731,f430]) ).
fof(f3736,plain,
( spl14_33
| ~ spl14_76 ),
inference(avatar_contradiction_clause,[],[f3735]) ).
fof(f3805,plain,
( atleast4p(sF13)
| ~ atleast3p(sF11)
| subq(sF13,sF11)
| ~ spl14_56 ),
inference(resolution,[],[f629,f66]) ).
fof(f3807,plain,
( ~ atleast3p(sF11)
| subq(sF13,sF11)
| ~ spl14_56 ),
inference(forward_subsumption_resolution,[],[f3805,f97]) ).
fof(f3808,plain,
( subq(sF13,sF11)
| ~ spl14_56
| ~ spl14_129 ),
inference(forward_subsumption_resolution,[],[f3807,f1417]) ).
fof(f3809,plain,
( $false
| spl14_7
| ~ spl14_56
| ~ spl14_129 ),
inference(forward_subsumption_resolution,[],[f3808,f277]) ).
fof(f3810,plain,
( spl14_7
| ~ spl14_56
| ~ spl14_129 ),
inference(avatar_contradiction_clause,[],[f3809]) ).
cnf(s15,plain,
( ~ spl14_30
| spl14_31 ),
inference(sat_conversion,[],[f417]) ).
cnf(s17,plain,
~ spl14_26,
inference(sat_conversion,[],[f475]) ).
cnf(s24,plain,
( ~ spl14_3
| ~ spl14_49
| spl14_50 ),
inference(sat_conversion,[],[f592]) ).
cnf(s40,plain,
spl14_49,
inference(sat_conversion,[],[f959]) ).
cnf(s59,plain,
( ~ spl14_78
| spl14_96 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s60,plain,
~ spl14_77,
inference(sat_conversion,[],[f1141]) ).
cnf(s61,plain,
( spl14_77
| spl14_78
| ~ spl14_90 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s71,plain,
spl14_30,
inference(sat_conversion,[],[f1280]) ).
cnf(s81,plain,
( ~ spl14_126
| spl14_127 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s83,plain,
( spl14_3
| ~ spl14_14
| ~ spl14_49
| spl14_126 ),
inference(sat_conversion,[],[f1401]) ).
cnf(s85,plain,
( spl14_52
| spl14_126
| ~ spl14_129 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s96,plain,
( ~ spl14_50
| ~ spl14_52 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s103,plain,
( ~ spl14_142
| spl14_143 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s106,plain,
( ~ spl14_147
| spl14_148 ),
inference(sat_conversion,[],[f2126]) ).
cnf(s108,plain,
( ~ spl14_16
| spl14_129
| spl14_147 ),
inference(sat_conversion,[],[f2130]) ).
cnf(s109,plain,
( spl14_16
| spl14_26 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s116,plain,
( ~ spl14_49
| spl14_56
| ~ spl14_127 ),
inference(sat_conversion,[],[f2302]) ).
cnf(s121,plain,
( ~ spl14_48
| spl14_152
| spl14_153 ),
inference(sat_conversion,[],[f2383]) ).
cnf(s122,plain,
( ~ spl14_7
| spl14_48
| spl14_90 ),
inference(sat_conversion,[],[f2387]) ).
cnf(s145,plain,
( ~ spl14_31
| ~ spl14_96 ),
inference(sat_conversion,[],[f2767]) ).
cnf(s164,plain,
( ~ spl14_33
| spl14_77 ),
inference(sat_conversion,[],[f2894]) ).
cnf(s167,plain,
( spl14_137
| ~ spl14_148
| spl14_156 ),
inference(sat_conversion,[],[f2938]) ).
cnf(s168,plain,
( spl14_143
| ~ spl14_156 ),
inference(sat_conversion,[],[f2943]) ).
cnf(s175,plain,
( ~ spl14_31
| spl14_96
| ~ spl14_137 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s182,plain,
( spl14_76
| ~ spl14_143 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s186,plain,
( spl14_141
| ~ spl14_152 ),
inference(sat_conversion,[],[f3322]) ).
cnf(s187,plain,
( spl14_111
| ~ spl14_153 ),
inference(sat_conversion,[],[f3327]) ).
cnf(s189,plain,
( spl14_77
| ~ spl14_111 ),
inference(sat_conversion,[],[f3342]) ).
cnf(s196,plain,
( ~ spl14_31
| ~ spl14_32
| spl14_33 ),
inference(sat_conversion,[],[f3498]) ).
cnf(s198,plain,
( spl14_32
| ~ spl14_141 ),
inference(sat_conversion,[],[f3502]) ).
cnf(s207,plain,
( spl14_14
| spl14_142 ),
inference(sat_conversion,[],[f3650]) ).
cnf(s218,plain,
( spl14_33
| ~ spl14_76 ),
inference(sat_conversion,[],[f3736]) ).
cnf(s224,plain,
( spl14_7
| ~ spl14_56
| ~ spl14_129 ),
inference(sat_conversion,[],[f3810]) ).
cnf(s225,plain,
~ spl14_111,
inference(rat,[],[s189,s60]) ).
cnf(s226,plain,
~ spl14_33,
inference(rat,[],[s164,s60]) ).
cnf(s227,plain,
~ spl14_153,
inference(rat,[],[s187,s225]) ).
cnf(s229,plain,
~ spl14_76,
inference(rat,[],[s218,s226]) ).
cnf(s232,plain,
~ spl14_143,
inference(rat,[],[s182,s229]) ).
cnf(s233,plain,
~ spl14_156,
inference(rat,[],[s168,s232]) ).
cnf(s234,plain,
~ spl14_142,
inference(rat,[],[s103,s232]) ).
cnf(s235,plain,
spl14_14,
inference(rat,[],[s207,s234]) ).
cnf(s239,plain,
( ~ spl14_3
| spl14_50 ),
inference(rat,[],[s24,s40]) ).
cnf(s240,plain,
spl14_16,
inference(rat,[],[s109,s17]) ).
cnf(s244,plain,
spl14_31,
inference(rat,[],[s15,s71]) ).
cnf(s245,plain,
~ spl14_32,
inference(rat,[],[s196,s226,s244]) ).
cnf(s246,plain,
~ spl14_96,
inference(rat,[],[s145,s244]) ).
cnf(s247,plain,
~ spl14_141,
inference(rat,[],[s198,s245]) ).
cnf(s248,plain,
~ spl14_137,
inference(rat,[],[s175,s244,s246]) ).
cnf(s249,plain,
~ spl14_78,
inference(rat,[],[s59,s246]) ).
cnf(s251,plain,
~ spl14_152,
inference(rat,[],[s186,s247]) ).
cnf(s254,plain,
~ spl14_148,
inference(rat,[],[s167,s233,s248]) ).
cnf(s255,plain,
~ spl14_90,
inference(rat,[],[s61,s60,s249]) ).
cnf(s257,plain,
~ spl14_48,
inference(rat,[],[s121,s227,s251]) ).
cnf(s258,plain,
~ spl14_147,
inference(rat,[],[s106,s254]) ).
cnf(s259,plain,
~ spl14_7,
inference(rat,[],[s122,s255,s257]) ).
cnf(s260,plain,
spl14_129,
inference(rat,[],[s108,s240,s258]) ).
cnf(s261,plain,
~ spl14_56,
inference(rat,[],[s224,s260,s259]) ).
cnf(s262,plain,
~ spl14_127,
inference(rat,[],[s116,s40,s261]) ).
cnf(s263,plain,
~ spl14_126,
inference(rat,[],[s81,s262]) ).
cnf(s264,plain,
spl14_52,
inference(rat,[],[s85,s260,s263]) ).
cnf(s266,plain,
spl14_3,
inference(rat,[],[s83,s40,s235,s263]) ).
cnf(s267,plain,
~ spl14_50,
inference(rat,[],[s96,s264]) ).
cnf(s268,plain,
$false,
inference(rat,[],[s239,s267,s266]) ).
fof(f3811,plain,
$false,
inference(avatar_sat_refutation,[],[s268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV535+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 28 06:31:33 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 8.05/1.93 % (3801122)Detected formulas, will run a generic FOF schedule.
% 8.05/1.93 % (3801132)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=177083067:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.05/1.93 % (3801129)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=1419422914:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.05/1.93 % (3801131)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2078551946:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.05/1.93 % (3801127)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=2081359591:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.05/1.93 % (3801133)dis-21_1_sil=8000:lcm=predicate:random_seed=3183820385: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)
% 8.05/1.93 % (3801130)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2701128195:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.05/1.93 % (3801128)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=941114438:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.05/1.93 % (3801130)Refutation not found, incomplete strategy
% 8.05/1.93 % (3801130)------------------------------
% 8.05/1.93 % (3801130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801130)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801130)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.93 % (3801130)Time elapsed: 0.001 s
% 8.05/1.93 % (3801130)Peak memory usage: 88 MB
% 8.05/1.93 % (3801132)Instruction limit reached!
% 8.05/1.93 % (3801132)------------------------------
% 8.05/1.93 % (3801132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801132)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801132)Termination reason: Instruction limit
% 8.05/1.93 % (3801132)Termination phase: Saturation
% 8.05/1.93 % (3801132)Time elapsed: 0.045 s
% 8.05/1.93 % (3801132)Peak memory usage: 89 MB
% 8.05/1.93 % (3801132)Instructions burned: 140 (million)
% 8.05/1.93 % (3801131)Instruction limit reached!
% 8.05/1.93 % (3801131)------------------------------
% 8.05/1.93 % (3801131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801131)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801131)Termination reason: Instruction limit
% 8.05/1.93 % (3801131)Termination phase: Saturation
% 8.05/1.93 % (3801131)Time elapsed: 0.073 s
% 8.05/1.93 % (3801131)Peak memory usage: 88 MB
% 8.05/1.93 % (3801131)Instructions burned: 119 (million)
% 8.05/1.93 % (3801133)Instruction limit reached!
% 8.05/1.93 % (3801133)------------------------------
% 8.05/1.93 % (3801133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801133)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801133)Termination reason: Instruction limit
% 8.05/1.93 % (3801133)Termination phase: Saturation
% 8.05/1.93 % (3801133)Time elapsed: 0.077 s
% 8.05/1.93 % (3801133)Peak memory usage: 89 MB
% 8.05/1.93 % (3801133)Instructions burned: 129 (million)
% 8.05/1.93 % (3801141)lrs+10_1_sil=8000:sp=occurrence:random_seed=3740519818:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.05/1.93 % (3801142)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2324485770:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.05/1.93 % (3801143)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2830590133:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.05/1.93 % (3801143)Refutation not found, incomplete strategy
% 8.05/1.93 % (3801143)------------------------------
% 8.05/1.93 % (3801143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801143)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801143)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.93 % (3801143)Time elapsed: 0.001 s
% 8.05/1.93 % (3801143)Peak memory usage: 88 MB
% 8.05/1.93 % (3801130)------------------------------
% 8.05/1.93 % (3801130)------------------------------
% 8.05/1.93 % (3801142)Instruction limit reached!
% 8.05/1.93 % (3801142)------------------------------
% 8.05/1.93 % (3801142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801142)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801142)Termination reason: Instruction limit
% 8.05/1.93 % (3801142)Termination phase: Saturation
% 8.05/1.93 % (3801142)Time elapsed: 0.077 s
% 8.05/1.93 % (3801142)Peak memory usage: 89 MB
% 8.05/1.93 % (3801142)Instructions burned: 159 (million)
% 8.05/1.93 % (3801141)Instruction limit reached!
% 8.05/1.93 % (3801141)------------------------------
% 8.05/1.93 % (3801141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801141)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801141)Termination reason: Instruction limit
% 8.05/1.93 % (3801141)Termination phase: Saturation
% 8.05/1.93 % (3801141)Time elapsed: 0.125 s
% 8.05/1.93 % (3801141)Peak memory usage: 91 MB
% 8.05/1.93 % (3801141)Instructions burned: 286 (million)
% 8.05/1.93 % (3801147)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=911220939:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.05/1.93 % (3801149)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2991951652:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.05/1.93 % (3801148)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=717233570:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.05/1.93 % (3801148)Refutation not found, incomplete strategy
% 8.05/1.93 % (3801148)------------------------------
% 8.05/1.93 % (3801148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801148)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801148)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.93 % (3801148)Time elapsed: 0.001 s
% 8.05/1.93 % (3801148)Peak memory usage: 88 MB
% 8.05/1.93 % (3801148)Instructions burned: 1 (million)
% 8.05/1.93 % (3801143)------------------------------
% 8.05/1.93 % (3801143)------------------------------
% 8.05/1.93 % (3801129)Refutation not found, incomplete strategy
% 8.05/1.93 % (3801129)------------------------------
% 8.05/1.93 % (3801129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801129)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801129)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.93 % (3801129)Time elapsed: 0.556 s
% 8.05/1.93 % (3801129)Peak memory usage: 125 MB
% 8.05/1.93 % (3801129)Instructions burned: 829 (million)
% 8.05/1.93 % (3801147)Instruction limit reached!
% 8.05/1.93 % (3801147)------------------------------
% 8.05/1.93 % (3801147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801147)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801147)Termination reason: Instruction limit
% 8.05/1.93 % (3801147)Termination phase: Saturation
% 8.05/1.93 % (3801147)Time elapsed: 0.143 s
% 8.05/1.93 % (3801147)Peak memory usage: 92 MB
% 8.05/1.93 % (3801147)Instructions burned: 249 (million)
% 8.05/1.93 % (3801153)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1304773423:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.05/1.93 % (3801148)------------------------------
% 8.05/1.93 % (3801148)------------------------------
% 8.05/1.93 % (3801153)Instruction limit reached!
% 8.05/1.93 % (3801153)------------------------------
% 8.05/1.93 % (3801153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801153)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801153)Termination reason: Instruction limit
% 8.05/1.93 % (3801153)Termination phase: Saturation
% 8.05/1.93 % (3801153)Time elapsed: 0.069 s
% 8.05/1.93 % (3801153)Peak memory usage: 89 MB
% 8.05/1.93 % (3801153)Instructions burned: 114 (million)
% 8.05/1.93 % (3801154)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3615768497:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.05/1.93 % (3801154)Instruction limit reached!
% 8.05/1.93 % (3801154)------------------------------
% 8.05/1.93 % (3801154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801154)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801154)Termination reason: Instruction limit
% 8.05/1.93 % (3801154)Termination phase: Saturation
% 8.05/1.93 % (3801154)Time elapsed: 0.061 s
% 8.05/1.93 % (3801154)Peak memory usage: 88 MB
% 8.05/1.93 % (3801154)Instructions burned: 128 (million)
% 8.05/1.93 % (3801129)------------------------------
% 8.05/1.93 % (3801129)------------------------------
% 8.05/1.93 % (3801156)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4004511363:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.05/1.93 % (3801157)lrs+10_1_sil=8000:sp=occurrence:random_seed=2817174769:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.05/1.93 % (3801127)First to succeed.
% 8.05/1.93 % (3801127)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3801122"
% 8.05/1.93 % (3801156)Instruction limit reached!
% 8.05/1.93 % (3801156)------------------------------
% 8.05/1.93 % (3801156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801156)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801156)Termination reason: Instruction limit
% 8.05/1.93 % (3801156)Termination phase: Saturation
% 8.05/1.93 % (3801156)Time elapsed: 0.071 s
% 8.05/1.93 % (3801156)Peak memory usage: 89 MB
% 8.05/1.93 % (3801156)Instructions burned: 114 (million)
% 8.05/1.93 % (3801149)Also succeeded, but the first one will report.
% 8.05/1.93 % (3801159)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3933505174:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.05/1.93 % (3801159)Refutation not found, incomplete strategy
% 8.05/1.93 % (3801159)------------------------------
% 8.05/1.93 % (3801159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/1.93 % (3801159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/1.93 % (3801159)CaDiCaL version: 2.1.3
% 8.05/1.93 % (3801159)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.93 % (3801159)Time elapsed: 0.001 s
% 8.05/1.93 % (3801159)Peak memory usage: 88 MB
% 8.05/1.93 % (3801160)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3150568211:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.05/1.93 % (3801164)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3007148396:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.05/1.93 % (3801127)Refutation found. Thanks to Tanya!
% 8.05/1.93 % SZS status Theorem for theBenchmark
% 8.05/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.05/2.02 % (3801127)------------------------------
% 8.05/2.02 % (3801127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/2.02 % (3801127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/2.02 % (3801127)CaDiCaL version: 2.1.3
% 8.05/2.02 % (3801127)Termination reason: Refutation
% 8.05/2.02 % (3801127)Time elapsed: 0.907 s
% 8.05/2.02 % (3801127)Peak memory usage: 131 MB
% 8.05/2.02 % (3801127)Instructions burned: 1333 (million)
% 8.05/2.02 % (3801127)------------------------------
% 8.05/2.02 % (3801127)------------------------------
% 8.05/2.02 % (3801122)Success in time 1.326 s
% 8.05/2.02 % Vampire exiting
%------------------------------------------------------------------------------