%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV536+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 8.28s 2.21s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 57
% Syntax : Number of formulae : 413 ( 102 unt; 45 def)
% Number of atoms : 866 ( 106 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 813 ( 360 ~; 385 |; 22 &)
% ( 40 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 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 : 151 ( 0 sgn 143 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( mem(X1,X0)
& ~ subq(X0,p(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast2p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3p_def) ).
fof(f13,axiom,
! [X0] :
( atleast4p(X0)
<=> ? [X1] :
( subq(X1,X0)
& atleast3p(X1)
& ~ subq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast4p_def) ).
fof(f26,conjecture,
atleast4p(u(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(s(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast4_62) ).
fof(f27,negated_conjecture,
~ atleast4p(u(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(s(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ atleast4p(u(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(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(f63,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(a(s(n(e)),n(n(e))),a(n(s(s(n(e)))),p(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(u(s(u(e,s(e))),s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(s(s(u(e,s(e)))),s(s(s(u(e,s(e)))))),s(p(s(u(e,s(e)))))))),
inference(definition_unfolding,[],[f67,f60,f68,f68,f68,f60,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 = u(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f82,plain,
u(sF3,sF5) = sF6,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF7 = s(sF3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f84,plain,
s(sF3) = sF7,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF8 = s(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f86,plain,
s(sF7) = sF8,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF9 = u(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f88,plain,
u(sF7,sF8) = sF9,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF10 = p(sF3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f90,plain,
p(sF3) = sF10,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF11 = s(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f92,plain,
s(sF10) = sF11,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF12 = u(sF9,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f94,plain,
u(sF9,sF11) = sF12,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF13 = u(sF6,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f96,plain,
u(sF6,sF12) = sF13,
inference(reorient_equations,[],[f95]) ).
fof(f97,plain,
~ atleast4p(sF13),
inference(definition_folding,[],[f69,f96,f94,f92,f90,f76,f74,f72,f88,f86,f84,f76,f74,f72,f84,f76,f74,f72,f82,f80,f78,f76,f74,f72,f74,f72,f76,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,sF7),
inference(superposition,[],[f70,f84]) ).
fof(f101,plain,
mem(sF4,sF5),
inference(superposition,[],[f70,f80]) ).
fof(f102,plain,
mem(sF7,sF8),
inference(superposition,[],[f70,f86]) ).
fof(f103,plain,
mem(sF10,sF11),
inference(superposition,[],[f70,f92]) ).
fof(f104,plain,
! [X0] :
( ~ mem(X0,sF10)
| subq(X0,sF3) ),
inference(superposition,[],[f62,f90]) ).
fof(f105,plain,
! [X0] :
( ~ mem(X0,sF1)
| mem(X0,sF2) ),
inference(superposition,[],[f55,f74]) ).
fof(f106,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF4) ),
inference(superposition,[],[f55,f78]) ).
fof(f107,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF6) ),
inference(superposition,[],[f55,f82]) ).
fof(f109,plain,
! [X0] :
( ~ mem(X0,sF8)
| mem(X0,sF9) ),
inference(superposition,[],[f55,f88]) ).
fof(f110,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF12) ),
inference(superposition,[],[f55,f94]) ).
fof(f112,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF4) ),
inference(superposition,[],[f56,f78]) ).
fof(f113,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF6) ),
inference(superposition,[],[f56,f82]) ).
fof(f114,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF13) ),
inference(superposition,[],[f56,f96]) ).
fof(f115,plain,
! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF9) ),
inference(superposition,[],[f56,f88]) ).
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,sF7)
| sF3 = X0 ),
inference(superposition,[],[f52,f84]) ).
fof(f122,plain,
! [X0] :
( ~ mem(X0,sF8)
| sF7 = X0 ),
inference(superposition,[],[f52,f86]) ).
fof(f123,plain,
! [X0] :
( ~ mem(X0,sF11)
| sF10 = X0 ),
inference(superposition,[],[f52,f92]) ).
fof(f124,plain,
mem(e,sF2),
inference(resolution,[],[f105,f98]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X1)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f49,f56]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f49,f55]) ).
fof(f129,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1)
| mem(X0,e) ),
inference(superposition,[],[f54,f74]) ).
fof(f133,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF8)
| mem(X0,sF7) ),
inference(superposition,[],[f54,f88]) ).
fof(f134,plain,
! [X0] :
( ~ mem(X0,sF12)
| mem(X0,sF11)
| mem(X0,sF9) ),
inference(superposition,[],[f54,f94]) ).
fof(f135,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f129,f51]) ).
fof(f138,plain,
! [X0] :
( ~ subq(X0,sF3)
| mem(X0,sF10) ),
inference(superposition,[],[f63,f90]) ).
fof(f140,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f48,f49]) ).
fof(f141,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f48,f51]) ).
fof(f152,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f153,plain,
mem(sF7,sF9),
inference(resolution,[],[f102,f109]) ).
fof(f154,plain,
mem(sF10,sF12),
inference(resolution,[],[f103,f110]) ).
fof(f156,plain,
mem(sF3,sF9),
inference(resolution,[],[f115,f100]) ).
fof(f157,plain,
mem(sF4,sF6),
inference(resolution,[],[f101,f107]) ).
fof(f159,plain,
mem(sF2,sF4),
inference(resolution,[],[f106,f99]) ).
fof(f174,plain,
! [X0] :
( mem(sK0(sF2,X0),sF1)
| subq(sF2,X0) ),
inference(resolution,[],[f135,f48]) ).
fof(f184,plain,
mem(e,sF4),
inference(resolution,[],[f112,f124]) ).
fof(f199,plain,
mem(sF4,sF13),
inference(resolution,[],[f157,f114]) ).
fof(f210,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f47,f124]) ).
fof(f213,plain,
! [X0] :
( ~ subq(sF3,X0)
| mem(sF2,X0) ),
inference(resolution,[],[f47,f99]) ).
fof(f217,plain,
! [X0] :
( ~ subq(sF7,X0)
| mem(sF3,X0) ),
inference(resolution,[],[f47,f100]) ).
fof(f223,plain,
! [X0] :
( ~ subq(sF13,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f47,f199]) ).
fof(f225,plain,
! [X0] :
( ~ subq(sF9,X0)
| mem(sF7,X0) ),
inference(resolution,[],[f47,f153]) ).
fof(f231,plain,
mem(e,sF10),
inference(resolution,[],[f138,f141]) ).
fof(f247,definition,
( spl14_3
<=> subq(sF13,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f248,plain,
( ~ subq(sF13,sF12)
| spl14_3 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f249,plain,
( subq(sF13,sF12)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f297,plain,
! [X0] :
( ~ mem(sF3,X0)
| subq(X0,sF10)
| atleast2p(X0) ),
inference(superposition,[],[f64,f90]) ).
fof(f319,plain,
( subq(sF9,sF10)
| atleast2p(sF9) ),
inference(resolution,[],[f297,f156]) ).
fof(f337,definition,
( spl14_18
<=> atleast2p(sF9) ),
introduced(definition,[new_symbols(definition,[spl14_18])],[avatar_definition]) ).
fof(f339,plain,
( atleast2p(sF9)
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl14_19
<=> subq(sF9,sF10) ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
fof(f343,plain,
( subq(sF9,sF10)
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f319,f341,f337]) ).
fof(f376,plain,
( subq(sF2,sF1)
| subq(sF2,sF1) ),
inference(resolution,[],[f174,f49]) ).
fof(f380,plain,
subq(sF2,sF1),
inference(duplicate_literal_removal,[],[f376]) ).
fof(f386,definition,
( spl14_26
<=> mem(sF2,sF10) ),
introduced(definition,[new_symbols(definition,[spl14_26])],[avatar_definition]) ).
fof(f387,plain,
( ~ mem(sF2,sF10)
| spl14_26 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( mem(sF2,sF10)
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f404,plain,
( sF1 = sF2
| ~ subq(sF1,sF2) ),
inference(resolution,[],[f380,f50]) ).
fof(f406,definition,
( spl14_30
<=> subq(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl14_30])],[avatar_definition]) ).
fof(f408,plain,
( ~ subq(sF1,sF2)
| spl14_30 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f410,definition,
( spl14_31
<=> sF1 = sF2 ),
introduced(definition,[new_symbols(definition,[spl14_31])],[avatar_definition]) ).
fof(f412,plain,
( sF1 = sF2
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f413,plain,
( ~ spl14_30
| spl14_31 ),
inference(avatar_split_clause,[],[f404,f410,f406]) ).
fof(f414,plain,
( subq(sF2,sF3)
| ~ spl14_26 ),
inference(resolution,[],[f388,f104]) ).
fof(f416,plain,
( mem(e,sF3)
| ~ spl14_26 ),
inference(resolution,[],[f414,f210]) ).
fof(f421,definition,
( spl14_32
<=> subq(sF3,sF2) ),
introduced(definition,[new_symbols(definition,[spl14_32])],[avatar_definition]) ).
fof(f422,plain,
( subq(sF3,sF2)
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( ~ subq(sF3,sF2)
| spl14_32 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl14_33
<=> sF2 = sF3 ),
introduced(definition,[new_symbols(definition,[spl14_33])],[avatar_definition]) ).
fof(f427,plain,
( sF2 = sF3
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f429,plain,
( e = sF2
| ~ spl14_26 ),
inference(resolution,[],[f416,f119]) ).
fof(f438,plain,
( ! [X0] : ~ mem(X0,sF2)
| ~ spl14_26 ),
inference(superposition,[],[f51,f429]) ).
fof(f439,plain,
( sF1 = s(sF2)
| ~ spl14_26 ),
inference(superposition,[],[f72,f429]) ).
fof(f447,plain,
( sF1 = sF3
| ~ spl14_26 ),
inference(forward_demodulation,[],[f439,f76]) ).
fof(f448,plain,
( sF2 = u(e,sF3)
| ~ spl14_26 ),
inference(superposition,[],[f74,f447]) ).
fof(f450,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) )
| ~ spl14_26 ),
inference(superposition,[],[f105,f447]) ).
fof(f455,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f450,f438]) ).
fof(f456,plain,
( sF2 = u(sF2,sF3)
| ~ spl14_26 ),
inference(forward_demodulation,[],[f448,f429]) ).
fof(f457,plain,
( sF2 = sF4
| ~ spl14_26 ),
inference(forward_demodulation,[],[f456,f78]) ).
fof(f458,plain,
( s(sF2) = sF5
| ~ spl14_26 ),
inference(superposition,[],[f80,f457]) ).
fof(f466,plain,
( sF3 = sF5
| ~ spl14_26 ),
inference(forward_demodulation,[],[f458,f76]) ).
fof(f468,plain,
( mem(sF4,sF3)
| ~ spl14_26 ),
inference(superposition,[],[f101,f466]) ).
fof(f471,plain,
( $false
| ~ spl14_26 ),
inference(forward_subsumption_resolution,[],[f468,f455]) ).
fof(f472,plain,
~ spl14_26,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f529,plain,
( mem(sF4,sF12)
| ~ spl14_3 ),
inference(resolution,[],[f249,f223]) ).
fof(f532,plain,
( sF12 = sF13
| ~ subq(sF12,sF13)
| ~ spl14_3 ),
inference(resolution,[],[f249,f50]) ).
fof(f534,definition,
( spl14_43
<=> subq(sF12,sF13) ),
introduced(definition,[new_symbols(definition,[spl14_43])],[avatar_definition]) ).
fof(f535,plain,
( subq(sF12,sF13)
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( ~ subq(sF12,sF13)
| spl14_43 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f538,definition,
( spl14_44
<=> sF12 = sF13 ),
introduced(definition,[new_symbols(definition,[spl14_44])],[avatar_definition]) ).
fof(f540,plain,
( sF12 = sF13
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,plain,
( ~ spl14_43
| spl14_44
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f532,f247,f538,f534]) ).
fof(f558,definition,
( spl14_47
<=> mem(sF10,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_47])],[avatar_definition]) ).
fof(f559,plain,
( mem(sF10,sF9)
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( ~ mem(sF10,sF9)
| spl14_47 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f760,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f126,f48]) ).
fof(f775,plain,
! [X0] :
( ~ mem(sK0(X0,sF13),sF12)
| subq(X0,sF13) ),
inference(superposition,[],[f126,f96]) ).
fof(f786,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f760]) ).
fof(f788,plain,
( subq(sF12,sF13)
| subq(sF12,sF13) ),
inference(resolution,[],[f775,f48]) ).
fof(f791,plain,
subq(sF12,sF13),
inference(duplicate_literal_removal,[],[f788]) ).
fof(f793,plain,
( $false
| spl14_43 ),
inference(forward_subsumption_resolution,[],[f791,f536]) ).
fof(f794,plain,
spl14_43,
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f808,plain,
mem(sF3,sF10),
inference(resolution,[],[f152,f138]) ).
fof(f829,plain,
( atleast4p(sF13)
| ~ atleast3p(sF12)
| subq(sF13,sF12)
| ~ spl14_43 ),
inference(resolution,[],[f535,f66]) ).
fof(f831,plain,
( ~ atleast3p(sF12)
| subq(sF13,sF12)
| ~ spl14_43 ),
inference(forward_subsumption_resolution,[],[f829,f97]) ).
fof(f833,plain,
( ~ atleast3p(sF12)
| spl14_3
| ~ spl14_43 ),
inference(forward_subsumption_resolution,[],[f831,f248]) ).
fof(f864,definition,
( spl14_69
<=> sF3 = sF10 ),
introduced(definition,[new_symbols(definition,[spl14_69])],[avatar_definition]) ).
fof(f865,plain,
( sF3 != sF10
| spl14_69 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f866,plain,
( sF3 = sF10
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f916,definition,
( spl14_74
<=> mem(e,sF6) ),
introduced(definition,[new_symbols(definition,[spl14_74])],[avatar_definition]) ).
fof(f917,plain,
( ~ mem(e,sF6)
| spl14_74 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f918,plain,
( mem(e,sF6)
| ~ spl14_74 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f920,definition,
( spl14_75
<=> mem(e,sF12) ),
introduced(definition,[new_symbols(definition,[spl14_75])],[avatar_definition]) ).
fof(f921,plain,
( ~ mem(e,sF12)
| spl14_75 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f922,plain,
( mem(e,sF12)
| ~ spl14_75 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f938,definition,
( spl14_79
<=> mem(e,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_79])],[avatar_definition]) ).
fof(f940,plain,
( mem(e,sF9)
| ~ spl14_79 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f942,definition,
( spl14_80
<=> mem(e,sF11) ),
introduced(definition,[new_symbols(definition,[spl14_80])],[avatar_definition]) ).
fof(f944,plain,
( mem(e,sF11)
| ~ spl14_80 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f952,definition,
( spl14_82
<=> e = sF10 ),
introduced(definition,[new_symbols(definition,[spl14_82])],[avatar_definition]) ).
fof(f954,plain,
( e = sF10
| ~ spl14_82 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f957,definition,
( spl14_83
<=> mem(e,sF7) ),
introduced(definition,[new_symbols(definition,[spl14_83])],[avatar_definition]) ).
fof(f958,plain,
( ~ mem(e,sF7)
| spl14_83 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f959,plain,
( mem(e,sF7)
| ~ spl14_83 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f961,definition,
( spl14_84
<=> mem(e,sF8) ),
introduced(definition,[new_symbols(definition,[spl14_84])],[avatar_definition]) ).
fof(f962,plain,
( ~ mem(e,sF8)
| spl14_84 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f963,plain,
( mem(e,sF8)
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f976,definition,
( spl14_87
<=> e = sF7 ),
introduced(definition,[new_symbols(definition,[spl14_87])],[avatar_definition]) ).
fof(f978,plain,
( e = sF7
| ~ spl14_87 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f986,definition,
( spl14_89
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl14_89])],[avatar_definition]) ).
fof(f987,plain,
( e != sF3
| spl14_89 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f988,plain,
( e = sF3
| ~ spl14_89 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f996,definition,
( spl14_91
<=> mem(e,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_91])],[avatar_definition]) ).
fof(f997,plain,
( ~ mem(e,sF3)
| spl14_91 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f998,plain,
( mem(e,sF3)
| ~ spl14_91 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1014,plain,
( e = sF3
| ~ spl14_83 ),
inference(resolution,[],[f959,f120]) ).
fof(f1018,plain,
( spl14_89
| ~ spl14_83 ),
inference(avatar_split_clause,[],[f1014,f957,f986]) ).
fof(f1019,plain,
( e = sF7
| ~ spl14_84 ),
inference(resolution,[],[f963,f122]) ).
fof(f1023,plain,
( spl14_87
| ~ spl14_84 ),
inference(avatar_split_clause,[],[f1019,f961,f976]) ).
fof(f1024,plain,
( mem(e,sF11)
| mem(e,sF9)
| ~ spl14_75 ),
inference(resolution,[],[f922,f134]) ).
fof(f1028,plain,
( spl14_79
| spl14_80
| ~ spl14_75 ),
inference(avatar_split_clause,[],[f1024,f920,f942,f938]) ).
fof(f1032,plain,
( mem(e,sF8)
| mem(e,sF7)
| ~ spl14_79 ),
inference(resolution,[],[f940,f133]) ).
fof(f1034,plain,
( mem(e,sF7)
| ~ spl14_79
| spl14_84 ),
inference(forward_subsumption_resolution,[],[f1032,f962]) ).
fof(f1035,plain,
( $false
| ~ spl14_79
| spl14_83
| spl14_84 ),
inference(forward_subsumption_resolution,[],[f1034,f958]) ).
fof(f1036,plain,
( ~ spl14_79
| spl14_83
| spl14_84 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1037,plain,
( e = sF10
| ~ spl14_80 ),
inference(resolution,[],[f944,f123]) ).
fof(f1040,plain,
( spl14_82
| ~ spl14_80 ),
inference(avatar_split_clause,[],[f1037,f942,f952]) ).
fof(f1041,plain,
( ! [X0] : ~ mem(X0,sF10)
| ~ spl14_82 ),
inference(superposition,[],[f51,f954]) ).
fof(f1082,plain,
( $false
| ~ spl14_82 ),
inference(resolution,[],[f1041,f808]) ).
fof(f1085,plain,
~ spl14_82,
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1115,plain,
subq(sF1,sF2),
inference(superposition,[],[f786,f74]) ).
fof(f1121,plain,
( $false
| spl14_30 ),
inference(forward_subsumption_resolution,[],[f1115,f408]) ).
fof(f1122,plain,
spl14_30,
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1126,plain,
( ! [X0] :
( ~ mem(X0,sF2)
| e = X0 )
| ~ spl14_31 ),
inference(superposition,[],[f118,f412]) ).
fof(f1147,definition,
( spl14_96
<=> sF3 = sF4 ),
introduced(definition,[new_symbols(definition,[spl14_96])],[avatar_definition]) ).
fof(f1148,plain,
( sF3 != sF4
| spl14_96 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1149,plain,
( sF3 = sF4
| ~ spl14_96 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1275,definition,
( spl14_119
<=> sF7 = sF10 ),
introduced(definition,[new_symbols(definition,[spl14_119])],[avatar_definition]) ).
fof(f1277,plain,
( sF7 = sF10
| ~ spl14_119 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1320,definition,
( spl14_125
<=> mem(sF4,sF7) ),
introduced(definition,[new_symbols(definition,[spl14_125])],[avatar_definition]) ).
fof(f1321,plain,
( mem(sF4,sF7)
| ~ spl14_125 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1322,plain,
( ~ mem(sF4,sF7)
| spl14_125 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1366,definition,
( spl14_131
<=> mem(sF3,sF3) ),
introduced(definition,[new_symbols(definition,[spl14_131])],[avatar_definition]) ).
fof(f1367,plain,
( mem(sF3,sF3)
| ~ spl14_131 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1368,plain,
( ~ mem(sF3,sF3)
| spl14_131 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1635,plain,
! [X0,X1] :
( subq(X0,u(X0,X1))
| subq(X0,u(X0,X1)) ),
inference(resolution,[],[f125,f48]) ).
fof(f1670,plain,
! [X0,X1] : subq(X0,u(X0,X1)),
inference(duplicate_literal_removal,[],[f1635]) ).
fof(f1738,plain,
subq(sF9,sF12),
inference(superposition,[],[f1670,f94]) ).
fof(f1787,plain,
( atleast3p(sF12)
| ~ atleast2p(sF9)
| subq(sF12,sF9) ),
inference(resolution,[],[f1738,f65]) ).
fof(f1789,plain,
( sF9 = sF12
| ~ subq(sF12,sF9) ),
inference(resolution,[],[f1738,f50]) ).
fof(f1791,definition,
( spl14_138
<=> subq(sF12,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_138])],[avatar_definition]) ).
fof(f1795,definition,
( spl14_139
<=> sF9 = sF12 ),
introduced(definition,[new_symbols(definition,[spl14_139])],[avatar_definition]) ).
fof(f1797,plain,
( sF9 = sF12
| ~ spl14_139 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f1798,plain,
( ~ spl14_138
| spl14_139 ),
inference(avatar_split_clause,[],[f1789,f1795,f1791]) ).
fof(f1807,plain,
( ~ atleast2p(sF9)
| subq(sF12,sF9)
| spl14_3
| ~ spl14_43 ),
inference(forward_subsumption_resolution,[],[f1787,f833]) ).
fof(f1809,plain,
( subq(sF12,sF9)
| spl14_3
| ~ spl14_18
| ~ spl14_43 ),
inference(forward_subsumption_resolution,[],[f1807,f339]) ).
fof(f1815,plain,
( mem(sF7,sF10)
| ~ spl14_19 ),
inference(resolution,[],[f343,f225]) ).
fof(f1837,plain,
( subq(sF7,sF3)
| ~ spl14_19 ),
inference(resolution,[],[f1815,f104]) ).
fof(f1839,plain,
( mem(sF3,sF3)
| ~ spl14_19 ),
inference(resolution,[],[f1837,f217]) ).
fof(f1844,plain,
( $false
| ~ spl14_19
| spl14_131 ),
inference(forward_subsumption_resolution,[],[f1839,f1368]) ).
fof(f1845,plain,
( ~ spl14_19
| spl14_131 ),
inference(avatar_contradiction_clause,[],[f1844]) ).
fof(f1847,plain,
( sF2 = sF3
| ~ spl14_131 ),
inference(resolution,[],[f1367,f119]) ).
fof(f1851,plain,
( spl14_33
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1847,f1366,f425]) ).
fof(f1868,plain,
( subq(sF3,sF1)
| ~ spl14_33 ),
inference(superposition,[],[f380,f427]) ).
fof(f1876,plain,
( subq(sF3,sF2)
| ~ spl14_31
| ~ spl14_33 ),
inference(forward_demodulation,[],[f1868,f412]) ).
fof(f1885,plain,
( $false
| ~ spl14_31
| spl14_32
| ~ spl14_33 ),
inference(forward_subsumption_resolution,[],[f1876,f423]) ).
fof(f1886,plain,
( ~ spl14_31
| spl14_32
| ~ spl14_33 ),
inference(avatar_contradiction_clause,[],[f1885]) ).
fof(f1914,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl14_89 ),
inference(superposition,[],[f51,f988]) ).
fof(f1915,plain,
( sF1 = s(sF3)
| ~ spl14_89 ),
inference(superposition,[],[f72,f988]) ).
fof(f1947,plain,
( sF1 = sF7
| ~ spl14_89 ),
inference(forward_demodulation,[],[f1915,f84]) ).
fof(f1968,plain,
( spl14_138
| spl14_3
| ~ spl14_18
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f1809,f534,f337,f247,f1791]) ).
fof(f1972,plain,
( sF2 = sF7
| ~ spl14_31
| ~ spl14_89 ),
inference(forward_demodulation,[],[f1947,f412]) ).
fof(f1989,plain,
( mem(sF10,sF9)
| ~ spl14_139 ),
inference(superposition,[],[f154,f1797]) ).
fof(f2002,plain,
( $false
| spl14_47
| ~ spl14_139 ),
inference(forward_subsumption_resolution,[],[f1989,f560]) ).
fof(f2003,plain,
( spl14_47
| ~ spl14_139 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
fof(f2005,plain,
( mem(sF10,sF8)
| mem(sF10,sF7)
| ~ spl14_47 ),
inference(resolution,[],[f559,f133]) ).
fof(f2009,definition,
( spl14_142
<=> mem(sF10,sF8) ),
introduced(definition,[new_symbols(definition,[spl14_142])],[avatar_definition]) ).
fof(f2010,plain,
( ~ mem(sF10,sF8)
| spl14_142 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f2011,plain,
( mem(sF10,sF8)
| ~ spl14_142 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f2032,plain,
( sF7 = sF10
| ~ spl14_142 ),
inference(resolution,[],[f2011,f122]) ).
fof(f2125,plain,
( s(sF2) = sF8
| ~ spl14_31
| ~ spl14_89 ),
inference(superposition,[],[f86,f1972]) ).
fof(f2153,plain,
( sF3 = sF8
| ~ spl14_31
| ~ spl14_89 ),
inference(forward_demodulation,[],[f2125,f76]) ).
fof(f2182,plain,
( mem(sF7,sF3)
| ~ spl14_31
| ~ spl14_89 ),
inference(superposition,[],[f102,f2153]) ).
fof(f2200,plain,
( $false
| ~ spl14_31
| ~ spl14_89 ),
inference(forward_subsumption_resolution,[],[f2182,f1914]) ).
fof(f2201,plain,
( ~ spl14_31
| ~ spl14_89 ),
inference(avatar_contradiction_clause,[],[f2200]) ).
fof(f2219,plain,
( spl14_119
| ~ spl14_142 ),
inference(avatar_split_clause,[],[f2032,f2009,f1275]) ).
fof(f2239,plain,
( mem(sF10,sF7)
| ~ spl14_47
| spl14_142 ),
inference(forward_subsumption_resolution,[],[f2005,f2010]) ).
fof(f2266,plain,
( mem(e,sF13)
| ~ spl14_74 ),
inference(resolution,[],[f918,f114]) ).
fof(f2284,plain,
( sF3 = sF10
| ~ spl14_47
| spl14_142 ),
inference(resolution,[],[f2239,f120]) ).
fof(f2287,plain,
( $false
| ~ spl14_47
| spl14_69
| spl14_142 ),
inference(forward_subsumption_resolution,[],[f2284,f865]) ).
fof(f2288,plain,
( ~ spl14_47
| spl14_69
| spl14_142 ),
inference(avatar_contradiction_clause,[],[f2287]) ).
fof(f2305,plain,
( mem(sF3,sF3)
| ~ spl14_69 ),
inference(superposition,[],[f808,f866]) ).
fof(f2307,plain,
( $false
| ~ spl14_69
| spl14_131 ),
inference(forward_subsumption_resolution,[],[f2305,f1368]) ).
fof(f2308,plain,
( ~ spl14_69
| spl14_131 ),
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2323,plain,
( mem(e,sF7)
| ~ spl14_119 ),
inference(superposition,[],[f231,f1277]) ).
fof(f2329,plain,
( $false
| spl14_83
| ~ spl14_119 ),
inference(forward_subsumption_resolution,[],[f2323,f958]) ).
fof(f2330,plain,
( spl14_83
| ~ spl14_119 ),
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2588,plain,
( sF1 = s(sF7)
| ~ spl14_87 ),
inference(superposition,[],[f72,f978]) ).
fof(f2589,plain,
( sF2 = u(sF7,sF1)
| ~ spl14_87 ),
inference(superposition,[],[f74,f978]) ).
fof(f2604,plain,
( sF2 = u(sF7,sF2)
| ~ spl14_31
| ~ spl14_87 ),
inference(forward_demodulation,[],[f2589,f412]) ).
fof(f2605,plain,
( sF1 = sF8
| ~ spl14_87 ),
inference(forward_demodulation,[],[f2588,f86]) ).
fof(f2607,plain,
( sF2 = sF8
| ~ spl14_31
| ~ spl14_87 ),
inference(forward_demodulation,[],[f2605,f412]) ).
fof(f2670,plain,
( sF9 = u(sF7,sF2)
| ~ spl14_31
| ~ spl14_87 ),
inference(superposition,[],[f88,f2607]) ).
fof(f2686,plain,
( sF2 = sF9
| ~ spl14_31
| ~ spl14_87 ),
inference(forward_demodulation,[],[f2670,f2604]) ).
fof(f2710,plain,
( mem(sF3,sF2)
| ~ spl14_31
| ~ spl14_87 ),
inference(superposition,[],[f156,f2686]) ).
fof(f2753,plain,
( e = sF3
| ~ spl14_31
| ~ spl14_87 ),
inference(resolution,[],[f2710,f1126]) ).
fof(f2758,plain,
( $false
| ~ spl14_31
| ~ spl14_87
| spl14_89 ),
inference(forward_subsumption_resolution,[],[f2753,f987]) ).
fof(f2759,plain,
( ~ spl14_31
| ~ spl14_87
| spl14_89 ),
inference(avatar_contradiction_clause,[],[f2758]) ).
fof(f2842,plain,
( mem(sF2,sF2)
| ~ spl14_32 ),
inference(resolution,[],[f213,f422]) ).
fof(f2853,plain,
( e = sF2
| ~ spl14_31
| ~ spl14_32 ),
inference(resolution,[],[f2842,f1126]) ).
fof(f2865,plain,
( mem(sF2,sF10)
| ~ spl14_31
| ~ spl14_32 ),
inference(superposition,[],[f231,f2853]) ).
fof(f2884,plain,
( $false
| spl14_26
| ~ spl14_31
| ~ spl14_32 ),
inference(forward_subsumption_resolution,[],[f2865,f387]) ).
fof(f2885,plain,
( spl14_26
| ~ spl14_31
| ~ spl14_32 ),
inference(avatar_contradiction_clause,[],[f2884]) ).
fof(f3279,plain,
( mem(e,sF3)
| ~ spl14_96 ),
inference(superposition,[],[f184,f1149]) ).
fof(f3295,plain,
( $false
| spl14_91
| ~ spl14_96 ),
inference(forward_subsumption_resolution,[],[f3279,f997]) ).
fof(f3296,plain,
( spl14_91
| ~ spl14_96 ),
inference(avatar_contradiction_clause,[],[f3295]) ).
fof(f3319,plain,
( mem(e,sF6)
| ~ spl14_91 ),
inference(resolution,[],[f998,f113]) ).
fof(f3321,plain,
( $false
| spl14_74
| ~ spl14_91 ),
inference(forward_subsumption_resolution,[],[f3319,f917]) ).
fof(f3322,plain,
( spl14_74
| ~ spl14_91 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3325,plain,
( mem(e,sF12)
| ~ spl14_44
| ~ spl14_74 ),
inference(forward_demodulation,[],[f2266,f540]) ).
fof(f3334,plain,
( $false
| ~ spl14_44
| ~ spl14_74
| spl14_75 ),
inference(forward_subsumption_resolution,[],[f3325,f921]) ).
fof(f3335,plain,
( ~ spl14_44
| ~ spl14_74
| spl14_75 ),
inference(avatar_contradiction_clause,[],[f3334]) ).
fof(f3342,plain,
( sF3 = sF4
| ~ spl14_125 ),
inference(resolution,[],[f1321,f120]) ).
fof(f3347,plain,
( $false
| spl14_96
| ~ spl14_125 ),
inference(forward_subsumption_resolution,[],[f3342,f1148]) ).
fof(f3348,plain,
( spl14_96
| ~ spl14_125 ),
inference(avatar_contradiction_clause,[],[f3347]) ).
fof(f3461,definition,
( spl14_173
<=> sF4 = sF7 ),
introduced(definition,[new_symbols(definition,[spl14_173])],[avatar_definition]) ).
fof(f3462,plain,
( sF4 != sF7
| spl14_173 ),
inference(avatar_component_clause,[],[f3461]) ).
fof(f3463,plain,
( sF4 = sF7
| ~ spl14_173 ),
inference(avatar_component_clause,[],[f3461]) ).
fof(f3547,plain,
( mem(e,sF7)
| ~ spl14_173 ),
inference(superposition,[],[f184,f3463]) ).
fof(f3563,plain,
( $false
| spl14_83
| ~ spl14_173 ),
inference(forward_subsumption_resolution,[],[f3547,f958]) ).
fof(f3564,plain,
( spl14_83
| ~ spl14_173 ),
inference(avatar_contradiction_clause,[],[f3563]) ).
fof(f3590,plain,
( mem(sF4,sF11)
| mem(sF4,sF9)
| ~ spl14_3 ),
inference(resolution,[],[f529,f134]) ).
fof(f3641,definition,
( spl14_183
<=> mem(sF4,sF9) ),
introduced(definition,[new_symbols(definition,[spl14_183])],[avatar_definition]) ).
fof(f3643,plain,
( mem(sF4,sF9)
| ~ spl14_183 ),
inference(avatar_component_clause,[],[f3641]) ).
fof(f3645,definition,
( spl14_184
<=> mem(sF4,sF11) ),
introduced(definition,[new_symbols(definition,[spl14_184])],[avatar_definition]) ).
fof(f3647,plain,
( mem(sF4,sF11)
| ~ spl14_184 ),
inference(avatar_component_clause,[],[f3645]) ).
fof(f3648,plain,
( spl14_183
| spl14_184
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f3590,f247,f3645,f3641]) ).
fof(f3660,plain,
( mem(sF4,sF8)
| mem(sF4,sF7)
| ~ spl14_183 ),
inference(resolution,[],[f3643,f133]) ).
fof(f3662,plain,
( mem(sF4,sF8)
| spl14_125
| ~ spl14_183 ),
inference(forward_subsumption_resolution,[],[f3660,f1322]) ).
fof(f3663,plain,
( sF4 = sF7
| spl14_125
| ~ spl14_183 ),
inference(resolution,[],[f3662,f122]) ).
fof(f3666,plain,
( $false
| spl14_125
| spl14_173
| ~ spl14_183 ),
inference(forward_subsumption_resolution,[],[f3663,f3462]) ).
fof(f3667,plain,
( spl14_125
| spl14_173
| ~ spl14_183 ),
inference(avatar_contradiction_clause,[],[f3666]) ).
fof(f3669,plain,
( sF4 = sF10
| ~ spl14_184 ),
inference(resolution,[],[f3647,f123]) ).
fof(f3691,plain,
( ~ mem(sF2,sF4)
| spl14_26
| ~ spl14_184 ),
inference(superposition,[],[f387,f3669]) ).
fof(f3703,plain,
( $false
| spl14_26
| ~ spl14_184 ),
inference(forward_subsumption_resolution,[],[f3691,f159]) ).
fof(f3704,plain,
( spl14_26
| ~ spl14_184 ),
inference(avatar_contradiction_clause,[],[f3703]) ).
cnf(s9,plain,
( spl14_18
| spl14_19 ),
inference(sat_conversion,[],[f344]) ).
cnf(s16,plain,
( ~ spl14_30
| spl14_31 ),
inference(sat_conversion,[],[f413]) ).
cnf(s18,plain,
~ spl14_26,
inference(sat_conversion,[],[f472]) ).
cnf(s22,plain,
( ~ spl14_3
| ~ spl14_43
| spl14_44 ),
inference(sat_conversion,[],[f541]) ).
cnf(s34,plain,
spl14_43,
inference(sat_conversion,[],[f794]) ).
cnf(s56,plain,
( ~ spl14_83
| spl14_89 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s58,plain,
( ~ spl14_84
| spl14_87 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s60,plain,
( ~ spl14_75
| spl14_79
| spl14_80 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s61,plain,
( ~ spl14_79
| spl14_83
| spl14_84 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s62,plain,
( ~ spl14_80
| spl14_82 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s64,plain,
~ spl14_82,
inference(sat_conversion,[],[f1085]) ).
cnf(s67,plain,
spl14_30,
inference(sat_conversion,[],[f1122]) ).
cnf(s94,plain,
( ~ spl14_138
| spl14_139 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s99,plain,
( ~ spl14_19
| spl14_131 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s100,plain,
( spl14_33
| ~ spl14_131 ),
inference(sat_conversion,[],[f1851]) ).
cnf(s104,plain,
( ~ spl14_31
| spl14_32
| ~ spl14_33 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s116,plain,
( spl14_3
| ~ spl14_18
| ~ spl14_43
| spl14_138 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s119,plain,
( spl14_47
| ~ spl14_139 ),
inference(sat_conversion,[],[f2003]) ).
cnf(s131,plain,
( ~ spl14_31
| ~ spl14_89 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s136,plain,
( spl14_119
| ~ spl14_142 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s141,plain,
( ~ spl14_47
| spl14_69
| spl14_142 ),
inference(sat_conversion,[],[f2288]) ).
cnf(s143,plain,
( ~ spl14_69
| spl14_131 ),
inference(sat_conversion,[],[f2308]) ).
cnf(s146,plain,
( spl14_83
| ~ spl14_119 ),
inference(sat_conversion,[],[f2330]) ).
cnf(s169,plain,
( ~ spl14_31
| ~ spl14_87
| spl14_89 ),
inference(sat_conversion,[],[f2759]) ).
cnf(s178,plain,
( spl14_26
| ~ spl14_31
| ~ spl14_32 ),
inference(sat_conversion,[],[f2885]) ).
cnf(s199,plain,
( spl14_91
| ~ spl14_96 ),
inference(sat_conversion,[],[f3296]) ).
cnf(s203,plain,
( spl14_74
| ~ spl14_91 ),
inference(sat_conversion,[],[f3322]) ).
cnf(s206,plain,
( ~ spl14_44
| ~ spl14_74
| spl14_75 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s209,plain,
( spl14_96
| ~ spl14_125 ),
inference(sat_conversion,[],[f3348]) ).
cnf(s230,plain,
( spl14_83
| ~ spl14_173 ),
inference(sat_conversion,[],[f3564]) ).
cnf(s240,plain,
( ~ spl14_3
| spl14_183
| spl14_184 ),
inference(sat_conversion,[],[f3648]) ).
cnf(s241,plain,
( spl14_125
| spl14_173
| ~ spl14_183 ),
inference(sat_conversion,[],[f3667]) ).
cnf(s244,plain,
( spl14_26
| ~ spl14_184 ),
inference(sat_conversion,[],[f3704]) ).
cnf(s246,plain,
~ spl14_80,
inference(rat,[],[s62,s64]) ).
cnf(s247,plain,
( ~ spl14_75
| spl14_79 ),
inference(rat,[],[s60,s246]) ).
cnf(s250,plain,
( ~ spl14_3
| spl14_44 ),
inference(rat,[],[s22,s34]) ).
cnf(s251,plain,
~ spl14_184,
inference(rat,[],[s244,s18]) ).
cnf(s253,plain,
spl14_31,
inference(rat,[],[s16,s67]) ).
cnf(s254,plain,
~ spl14_32,
inference(rat,[],[s178,s18,s253]) ).
cnf(s255,plain,
~ spl14_89,
inference(rat,[],[s131,s253]) ).
cnf(s258,plain,
~ spl14_33,
inference(rat,[],[s104,s253,s254]) ).
cnf(s261,plain,
~ spl14_83,
inference(rat,[],[s56,s255]) ).
cnf(s263,plain,
~ spl14_87,
inference(rat,[],[s169,s253,s255]) ).
cnf(s266,plain,
~ spl14_131,
inference(rat,[],[s100,s258]) ).
cnf(s268,plain,
~ spl14_173,
inference(rat,[],[s230,s261]) ).
cnf(s270,plain,
~ spl14_119,
inference(rat,[],[s146,s261]) ).
cnf(s272,plain,
~ spl14_84,
inference(rat,[],[s58,s263]) ).
cnf(s276,plain,
~ spl14_69,
inference(rat,[],[s143,s266]) ).
cnf(s277,plain,
~ spl14_19,
inference(rat,[],[s99,s266]) ).
cnf(s282,plain,
~ spl14_142,
inference(rat,[],[s136,s270]) ).
cnf(s284,plain,
~ spl14_79,
inference(rat,[],[s61,s261,s272]) ).
cnf(s285,plain,
~ spl14_47,
inference(rat,[],[s141,s282,s276]) ).
cnf(s287,plain,
~ spl14_75,
inference(rat,[],[s247,s284]) ).
cnf(s290,plain,
~ spl14_139,
inference(rat,[],[s119,s285]) ).
cnf(s291,plain,
~ spl14_138,
inference(rat,[],[s94,s290]) ).
cnf(s293,plain,
spl14_18,
inference(rat,[],[s9,s277]) ).
cnf(s294,plain,
spl14_3,
inference(rat,[],[s116,s291,s34,s293]) ).
cnf(s295,plain,
spl14_183,
inference(rat,[],[s240,s251,s294]) ).
cnf(s298,plain,
spl14_44,
inference(rat,[],[s250,s294]) ).
cnf(s299,plain,
spl14_125,
inference(rat,[],[s241,s268,s295]) ).
cnf(s303,plain,
~ spl14_74,
inference(rat,[],[s206,s287,s298]) ).
cnf(s306,plain,
spl14_96,
inference(rat,[],[s209,s299]) ).
cnf(s308,plain,
~ spl14_91,
inference(rat,[],[s203,s303]) ).
cnf(s311,plain,
$false,
inference(rat,[],[s199,s306,s308]) ).
fof(f3707,plain,
$false,
inference(avatar_sat_refutation,[],[s311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV536+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n015.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Mon Sep 28 06:34:32 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.24/2.14 % (2425583)Detected formulas, will run a generic FOF schedule.
% 9.24/2.14 % (2425594)dis-21_1_sil=8000:lcm=predicate:random_seed=660668497: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)
% 9.24/2.14 % (2425592)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1493845270:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.24/2.14 % (2425588)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=3967893282:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.24/2.14 % (2425591)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2123904515:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.24/2.14 % (2425590)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=3079239076:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.24/2.14 % (2425589)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=1321052684:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.24/2.14 % (2425593)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=225035012:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.24/2.14 % (2425591)Refutation not found, incomplete strategy
% 9.24/2.14 % (2425591)------------------------------
% 9.24/2.14 % (2425591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.14 % (2425591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.14 % (2425591)CaDiCaL version: 2.1.3
% 9.24/2.14 % (2425591)Termination reason: Refutation not found, incomplete strategy
% 9.24/2.14 % (2425591)Time elapsed: 0.001 s
% 9.24/2.14 % (2425591)Peak memory usage: 88 MB
% 9.24/2.14 % (2425594)Instruction limit reached!
% 9.24/2.14 % (2425594)------------------------------
% 9.24/2.14 % (2425594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.14 % (2425594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.14 % (2425594)CaDiCaL version: 2.1.3
% 9.24/2.14 % (2425594)Termination reason: Instruction limit
% 9.24/2.14 % (2425594)Termination phase: Saturation
% 9.24/2.14 % (2425594)Time elapsed: 0.042 s
% 9.24/2.14 % (2425594)Peak memory usage: 89 MB
% 9.24/2.14 % (2425594)Instructions burned: 131 (million)
% 9.24/2.14 % (2425592)Instruction limit reached!
% 9.24/2.14 % (2425592)------------------------------
% 9.24/2.14 % (2425592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.14 % (2425592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.14 % (2425592)CaDiCaL version: 2.1.3
% 9.24/2.14 % (2425592)Termination reason: Instruction limit
% 9.24/2.14 % (2425592)Termination phase: Saturation
% 9.24/2.14 % (2425592)Time elapsed: 0.075 s
% 9.24/2.14 % (2425592)Peak memory usage: 88 MB
% 9.24/2.14 % (2425592)Instructions burned: 119 (million)
% 9.24/2.14 % (2425593)Instruction limit reached!
% 9.24/2.14 % (2425593)------------------------------
% 9.24/2.14 % (2425593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.14 % (2425593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.14 % (2425593)CaDiCaL version: 2.1.3
% 9.24/2.14 % (2425593)Termination reason: Instruction limit
% 9.24/2.14 % (2425593)Termination phase: Saturation
% 9.24/2.14 % (2425593)Time elapsed: 0.086 s
% 9.24/2.14 % (2425593)Peak memory usage: 88 MB
% 9.24/2.14 % (2425593)Instructions burned: 139 (million)
% 9.24/2.14 % (2425602)lrs+10_1_sil=8000:sp=occurrence:random_seed=2346995993:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.24/2.14 % (2425602)Instruction limit reached!
% 9.24/2.14 % (2425602)------------------------------
% 9.24/2.14 % (2425602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.24/2.14 % (2425602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.24/2.14 % (2425602)CaDiCaL version: 2.1.3
% 9.24/2.14 % (2425602)Termination reason: Instruction limit
% 9.24/2.14 % (2425602)Termination phase: Saturation
% 9.24/2.14 % (2425602)Time elapsed: 0.100 s
% 9.24/2.14 % (2425602)Peak memory usage: 91 MB
% 9.24/2.14 % (2425602)Instructions burned: 288 (million)
% 9.24/2.14 % (2425603)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1089911342:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.28/2.21 % (2425604)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1235786541:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.28/2.21 % (2425604)Refutation not found, incomplete strategy
% 8.28/2.21 % (2425604)------------------------------
% 8.28/2.21 % (2425604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425604)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425604)Termination reason: Refutation not found, incomplete strategy
% 8.28/2.21 % (2425604)Time elapsed: 0.001 s
% 8.28/2.21 % (2425604)Peak memory usage: 88 MB
% 8.28/2.21 % (2425591)------------------------------
% 8.28/2.21 % (2425591)------------------------------
% 8.28/2.21 % (2425603)Instruction limit reached!
% 8.28/2.21 % (2425603)------------------------------
% 8.28/2.21 % (2425603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425603)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425603)Termination reason: Instruction limit
% 8.28/2.21 % (2425603)Termination phase: Saturation
% 8.28/2.21 % (2425603)Time elapsed: 0.078 s
% 8.28/2.21 % (2425603)Peak memory usage: 89 MB
% 8.28/2.21 % (2425603)Instructions burned: 158 (million)
% 8.28/2.21 % (2425607)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=3952452953:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.28/2.21 % (2425607)Instruction limit reached!
% 8.28/2.21 % (2425607)------------------------------
% 8.28/2.21 % (2425607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425607)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425607)Termination reason: Instruction limit
% 8.28/2.21 % (2425607)Termination phase: Saturation
% 8.28/2.21 % (2425607)Time elapsed: 0.076 s
% 8.28/2.21 % (2425607)Peak memory usage: 91 MB
% 8.28/2.21 % (2425607)Instructions burned: 249 (million)
% 8.28/2.21 % (2425609)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3926592599:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.28/2.21 % (2425609)Refutation not found, incomplete strategy
% 8.28/2.21 % (2425609)------------------------------
% 8.28/2.21 % (2425609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425609)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425609)Termination reason: Refutation not found, incomplete strategy
% 8.28/2.21 % (2425609)Time elapsed: 0.001 s
% 8.28/2.21 % (2425609)Peak memory usage: 88 MB
% 8.28/2.21 % (2425609)Instructions burned: 1 (million)
% 8.28/2.21 % (2425610)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3187214099:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.28/2.21 % (2425612)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=157409778:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.28/2.21 % (2425604)------------------------------
% 8.28/2.21 % (2425604)------------------------------
% 8.28/2.21 % (2425612)Instruction limit reached!
% 8.28/2.21 % (2425612)------------------------------
% 8.28/2.21 % (2425612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425612)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425612)Termination reason: Instruction limit
% 8.28/2.21 % (2425612)Termination phase: Saturation
% 8.28/2.21 % (2425612)Time elapsed: 0.036 s
% 8.28/2.21 % (2425612)Peak memory usage: 89 MB
% 8.28/2.21 % (2425612)Instructions burned: 115 (million)
% 8.28/2.21 % (2425590)Refutation not found, incomplete strategy
% 8.28/2.21 % (2425590)------------------------------
% 8.28/2.21 % (2425590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425590)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425590)Termination reason: Refutation not found, incomplete strategy
% 8.28/2.21 % (2425590)Time elapsed: 0.561 s
% 8.28/2.21 % (2425590)Peak memory usage: 126 MB
% 8.28/2.21 % (2425590)Instructions burned: 827 (million)
% 8.28/2.21 % (2425617)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3288156174:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.28/2.21 % (2425616)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1398615567:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.28/2.21 % (2425609)------------------------------
% 8.28/2.21 % (2425609)------------------------------
% 8.28/2.21 % (2425617)Instruction limit reached!
% 8.28/2.21 % (2425617)------------------------------
% 8.28/2.21 % (2425617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425617)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425617)Termination reason: Instruction limit
% 8.28/2.21 % (2425617)Termination phase: Saturation
% 8.28/2.21 % (2425617)Time elapsed: 0.039 s
% 8.28/2.21 % (2425617)Peak memory usage: 89 MB
% 8.28/2.21 % (2425617)Instructions burned: 117 (million)
% 8.28/2.21 % (2425616)Instruction limit reached!
% 8.28/2.21 % (2425616)------------------------------
% 8.28/2.21 % (2425616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425616)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425616)Termination reason: Instruction limit
% 8.28/2.21 % (2425616)Termination phase: Saturation
% 8.28/2.21 % (2425616)Time elapsed: 0.060 s
% 8.28/2.21 % (2425616)Peak memory usage: 88 MB
% 8.28/2.21 % (2425616)Instructions burned: 127 (million)
% 8.28/2.21 % (2425621)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=133652143:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.28/2.21 % (2425621)Refutation not found, incomplete strategy
% 8.28/2.21 % (2425621)------------------------------
% 8.28/2.21 % (2425621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425621)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425621)Termination reason: Refutation not found, incomplete strategy
% 8.28/2.21 % (2425621)Time elapsed: 0.0000 s
% 8.28/2.21 % (2425621)Peak memory usage: 88 MB
% 8.28/2.21 % (2425620)lrs+10_1_sil=8000:sp=occurrence:random_seed=860755902:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.28/2.21 % (2425622)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1186425766:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.28/2.21 % (2425590)------------------------------
% 8.28/2.21 % (2425590)------------------------------
% 8.28/2.21 % (2425621)------------------------------
% 8.28/2.21 % (2425621)------------------------------
% 8.28/2.21 % (2425588)First to succeed.
% 8.28/2.21 % (2425588)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2425583"
% 8.28/2.21 % (2425626)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=418680059:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 8.28/2.21 % (2425627)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3431491458:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 8.28/2.21 % (2425627)Refutation not found, incomplete strategy
% 8.28/2.21 % (2425627)------------------------------
% 8.28/2.21 % (2425627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425627)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425627)Termination reason: Refutation not found, incomplete strategy
% 8.28/2.21 % (2425627)Time elapsed: 0.001 s
% 8.28/2.21 % (2425627)Peak memory usage: 88 MB
% 8.28/2.21 % (2425627)Instructions burned: 1 (million)
% 8.28/2.21 % (2425626)Instruction limit reached!
% 8.28/2.21 % (2425626)------------------------------
% 8.28/2.21 % (2425626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.21 % (2425626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.21 % (2425626)CaDiCaL version: 2.1.3
% 8.28/2.21 % (2425626)Termination reason: Instruction limit
% 8.28/2.21 % (2425626)Termination phase: Saturation
% 8.28/2.21 % (2425626)Time elapsed: 0.074 s
% 8.28/2.21 % (2425626)Peak memory usage: 90 MB
% 8.28/2.21 % (2425626)Instructions burned: 135 (million)
% 8.28/2.21 % (2425627)------------------------------
% 8.28/2.21 % (2425627)------------------------------
% 8.28/2.21 % (2425630)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1659809715:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 8.28/2.21 % (2425588)Refutation found. Thanks to Tanya!
% 8.28/2.21 % SZS status Theorem for theBenchmark
% 8.28/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.41 % (2425588)------------------------------
% 0.15/2.41 % (2425588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.41 % (2425588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.41 % (2425588)CaDiCaL version: 2.1.3
% 0.15/2.41 % (2425588)Termination reason: Refutation
% 0.15/2.41 % (2425588)Time elapsed: 0.924 s
% 0.15/2.41 % (2425588)Peak memory usage: 132 MB
% 0.15/2.41 % (2425588)Instructions burned: 1332 (million)
% 0.15/2.41 % (2425588)------------------------------
% 0.15/2.41 % (2425588)------------------------------
% 0.15/2.41 % (2425583)Success in time 1.344 s
% 0.15/2.41 % Vampire exiting
%------------------------------------------------------------------------------