%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV030+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:07:57 PM UTC 2026
% Result : Theorem 4.03s 1.45s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 125 ( 34 unt; 20 def)
% Number of atoms : 572 ( 52 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 714 ( 267 ~; 273 |; 141 &)
% ( 19 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 20 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 35 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,minus(pv1376,n1)) )
=> a_select2(s_values7_init,X2) = init ) )
=> ( init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n2) )
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select3(simplex7_init,X4,X3) = init ) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv1376,n1)) )
=> a_select2(s_values7_init,X5) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0033) ).
fof(f54,negated_conjecture,
~ ( ( init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,minus(pv1376,n1)) )
=> a_select2(s_values7_init,X2) = init ) )
=> ( init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n2) )
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n3) )
=> a_select3(simplex7_init,X4,X3) = init ) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,minus(pv1376,n1)) )
=> a_select2(s_values7_init,X5) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f108,plain,
( ( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ? [X3] :
( ? [X4] :
( init != a_select3(simplex7_init,X4,X3)
& leq(n0,X4)
& leq(X4,n3) )
& leq(n0,X3)
& leq(X3,n2) )
| ? [X5] :
( init != a_select2(s_values7_init,X5)
& leq(n0,X5)
& leq(X5,minus(pv1376,n1)) ) )
& init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv1376,n1)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f109,plain,
( ( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ? [X3] :
( ? [X4] :
( init != a_select3(simplex7_init,X4,X3)
& leq(n0,X4)
& leq(X4,n3) )
& leq(n0,X3)
& leq(X3,n2) )
| ? [X5] :
( init != a_select2(s_values7_init,X5)
& leq(n0,X5)
& leq(X5,minus(pv1376,n1)) ) )
& init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv1376,n1)) ) ),
inference(flattening,[],[f108]) ).
fof(f156,definition,
( ? [X3] :
( ? [X4] :
( init != a_select3(simplex7_init,X4,X3)
& leq(n0,X4)
& leq(X4,n3) )
& leq(n0,X3)
& leq(X3,n2) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f157,plain,
( ( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| ? [X5] :
( init != a_select2(s_values7_init,X5)
& leq(n0,X5)
& leq(X5,minus(pv1376,n1)) ) )
& init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv1376,n1)) ) ),
inference(definition_folding,[],[f109,f156]) ).
fof(f163,plain,
( ? [X3] :
( ? [X4] :
( init != a_select3(simplex7_init,X4,X3)
& leq(n0,X4)
& leq(X4,n3) )
& leq(n0,X3)
& leq(X3,n2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f156]) ).
fof(f164,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(n0,X1)
& leq(X1,n3) )
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP0 ),
inference(rectify,[],[f163]) ).
fof(f165,plain,
( ( init != a_select3(simplex7_init,sK5,sK4)
& leq(n0,sK5)
& leq(sK5,n3)
& leq(n0,sK4)
& leq(sK4,n2) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f164]) ).
fof(f166,plain,
( ( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(n0,X0)
& leq(X0,minus(pv1376,n1)) ) )
& init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,minus(pv1376,n1)) ) ),
inference(rectify,[],[f157]) ).
fof(f167,plain,
( ( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| ( init != a_select2(s_values7_init,sK6)
& leq(n0,sK6)
& leq(sK6,minus(pv1376,n1)) ) )
& init = init
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,minus(pv1376,n1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f166]) ).
fof(f194,plain,
( leq(sK4,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f195,plain,
( leq(n0,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f196,plain,
( leq(sK5,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f197,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f198,plain,
( init != a_select3(simplex7_init,sK5,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f199,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,minus(pv1376,n1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f200,plain,
! [X2,X1] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f201,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f167]) ).
fof(f202,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f167]) ).
fof(f203,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f167]) ).
fof(f204,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f167]) ).
fof(f205,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f167]) ).
fof(f206,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f167]) ).
fof(f207,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f167]) ).
fof(f208,plain,
leq(n0,pv7),
inference(cnf_transformation,[],[f167]) ).
fof(f209,plain,
init = init,
inference(cnf_transformation,[],[f167]) ).
fof(f210,plain,
( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| leq(sK6,minus(pv1376,n1)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f211,plain,
( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK6) ),
inference(cnf_transformation,[],[f167]) ).
fof(f212,plain,
( init != init
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| init != a_select2(s_values7_init,sK6) ),
inference(cnf_transformation,[],[f167]) ).
fof(f379,definition,
! [X0,X1] :
( sQ28_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ28_eqProxy])],[equality_proxy_definition]) ).
fof(f380,plain,
( ~ sQ28_eqProxy(init,a_select3(simplex7_init,sK5,sK4))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f198,f379]) ).
fof(f381,plain,
( ~ sQ28_eqProxy(init,init)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| ~ sQ28_eqProxy(init,a_select2(s_values7_init,sK6)) ),
inference(equality_proxy_replacement,[],[f212,f379,f379]) ).
fof(f382,plain,
( ~ sQ28_eqProxy(init,init)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK6) ),
inference(equality_proxy_replacement,[],[f211,f379]) ).
fof(f383,plain,
( ~ sQ28_eqProxy(init,init)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP0
| leq(sK6,minus(pv1376,n1)) ),
inference(equality_proxy_replacement,[],[f210,f379]) ).
fof(f384,plain,
sQ28_eqProxy(init,init),
inference(equality_proxy_replacement,[],[f209,f379]) ).
fof(f385,plain,
! [X2,X1] :
( sQ28_eqProxy(init,a_select3(simplex7_init,X2,X1))
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(equality_proxy_replacement,[],[f200,f379]) ).
fof(f386,plain,
! [X3] :
( sQ28_eqProxy(init,a_select2(s_values7_init,X3))
| ~ leq(n0,X3)
| ~ leq(X3,minus(pv1376,n1)) ),
inference(equality_proxy_replacement,[],[f199,f379]) ).
fof(f462,definition,
( spl29_1
<=> leq(sK6,minus(pv1376,n1)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f465,definition,
( spl29_2
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f468,definition,
( spl29_3
<=> leq(pv1376,n3) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f469,plain,
( ~ leq(pv1376,n3)
| spl29_3 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f471,definition,
( spl29_4
<=> leq(pv20,minus(n330,n1)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f472,plain,
( ~ leq(pv20,minus(n330,n1))
| spl29_4 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f474,definition,
( spl29_5
<=> leq(pv19,minus(n410,n1)) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f475,plain,
( ~ leq(pv19,minus(n410,n1))
| spl29_5 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,definition,
( spl29_6
<=> leq(pv7,minus(n410,n1)) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f478,plain,
( ~ leq(pv7,minus(n410,n1))
| spl29_6 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,definition,
( spl29_7
<=> leq(n0,pv1376) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f481,plain,
( ~ leq(n0,pv1376)
| spl29_7 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,definition,
( spl29_8
<=> leq(n0,pv20) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f484,plain,
( ~ leq(n0,pv20)
| spl29_8 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,definition,
( spl29_9
<=> leq(n0,pv19) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f487,plain,
( ~ leq(n0,pv19)
| spl29_9 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f489,definition,
( spl29_10
<=> leq(n0,pv7) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f490,plain,
( ~ leq(n0,pv7)
| spl29_10 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f492,definition,
( spl29_11
<=> sQ28_eqProxy(init,init) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f493,plain,
( ~ sQ28_eqProxy(init,init)
| spl29_11 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f494,plain,
( spl29_1
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_7
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f383,f492,f489,f486,f483,f480,f477,f474,f471,f468,f465,f462]) ).
fof(f496,definition,
( spl29_12
<=> leq(n0,sK6) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f498,plain,
( spl29_12
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_7
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f382,f492,f489,f486,f483,f480,f477,f474,f471,f468,f465,f496]) ).
fof(f500,definition,
( spl29_13
<=> sQ28_eqProxy(init,a_select2(s_values7_init,sK6)) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f501,plain,
( ~ sQ28_eqProxy(init,a_select2(s_values7_init,sK6))
| spl29_13 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f502,plain,
( ~ spl29_13
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_7
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f381,f492,f489,f486,f483,f480,f477,f474,f471,f468,f465,f500]) ).
fof(f505,definition,
( spl29_14
<=> leq(sK4,n2) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f507,plain,
( ~ spl29_2
| spl29_14 ),
inference(avatar_split_clause,[],[f194,f505,f465]) ).
fof(f509,definition,
( spl29_15
<=> leq(n0,sK4) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f511,plain,
( ~ spl29_2
| spl29_15 ),
inference(avatar_split_clause,[],[f195,f509,f465]) ).
fof(f513,definition,
( spl29_16
<=> leq(sK5,n3) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f515,plain,
( ~ spl29_2
| spl29_16 ),
inference(avatar_split_clause,[],[f196,f513,f465]) ).
fof(f517,definition,
( spl29_17
<=> leq(n0,sK5) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f519,plain,
( ~ spl29_2
| spl29_17 ),
inference(avatar_split_clause,[],[f197,f517,f465]) ).
fof(f521,definition,
( spl29_18
<=> sQ28_eqProxy(init,a_select3(simplex7_init,sK5,sK4)) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f522,plain,
( ~ sQ28_eqProxy(init,a_select3(simplex7_init,sK5,sK4))
| spl29_18 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( ~ spl29_2
| ~ spl29_18 ),
inference(avatar_split_clause,[],[f380,f521,f465]) ).
fof(f524,plain,
( $false
| spl29_3 ),
inference(resolution,[],[f469,f201]) ).
fof(f525,plain,
spl29_3,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f526,plain,
( $false
| spl29_4 ),
inference(resolution,[],[f202,f472]) ).
fof(f527,plain,
spl29_4,
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f528,plain,
( $false
| spl29_5 ),
inference(resolution,[],[f203,f475]) ).
fof(f529,plain,
spl29_5,
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f530,plain,
( $false
| spl29_6 ),
inference(resolution,[],[f204,f478]) ).
fof(f531,plain,
spl29_6,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f532,plain,
( $false
| spl29_7 ),
inference(resolution,[],[f481,f205]) ).
fof(f533,plain,
spl29_7,
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f534,plain,
( $false
| spl29_8 ),
inference(resolution,[],[f484,f206]) ).
fof(f535,plain,
spl29_8,
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f536,plain,
( $false
| spl29_9 ),
inference(resolution,[],[f487,f207]) ).
fof(f537,plain,
spl29_9,
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f538,plain,
( $false
| spl29_10 ),
inference(resolution,[],[f490,f208]) ).
fof(f539,plain,
spl29_10,
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f540,plain,
( $false
| spl29_11 ),
inference(resolution,[],[f493,f384]) ).
fof(f541,plain,
spl29_11,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f542,plain,
( ~ leq(n0,sK5)
| ~ leq(sK5,n3)
| ~ leq(n0,sK4)
| ~ leq(sK4,n2)
| spl29_18 ),
inference(resolution,[],[f385,f522]) ).
fof(f547,plain,
( ~ spl29_14
| ~ spl29_15
| ~ spl29_16
| ~ spl29_17
| spl29_18 ),
inference(avatar_split_clause,[],[f542,f521,f517,f513,f509,f505]) ).
fof(f548,plain,
( ~ leq(n0,sK6)
| ~ leq(sK6,minus(pv1376,n1))
| spl29_13 ),
inference(resolution,[],[f501,f386]) ).
fof(f551,plain,
( ~ spl29_1
| ~ spl29_12
| spl29_13 ),
inference(avatar_split_clause,[],[f548,f500,f496,f462]) ).
cnf(s1,plain,
( spl29_1
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_7
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11 ),
inference(sat_conversion,[],[f494]) ).
cnf(s2,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_7
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11
| spl29_12 ),
inference(sat_conversion,[],[f498]) ).
cnf(s3,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_5
| ~ spl29_6
| ~ spl29_7
| ~ spl29_8
| ~ spl29_9
| ~ spl29_10
| ~ spl29_11
| ~ spl29_13 ),
inference(sat_conversion,[],[f502]) ).
cnf(s4,plain,
( ~ spl29_2
| spl29_14 ),
inference(sat_conversion,[],[f507]) ).
cnf(s5,plain,
( ~ spl29_2
| spl29_15 ),
inference(sat_conversion,[],[f511]) ).
cnf(s6,plain,
( ~ spl29_2
| spl29_16 ),
inference(sat_conversion,[],[f515]) ).
cnf(s7,plain,
( ~ spl29_2
| spl29_17 ),
inference(sat_conversion,[],[f519]) ).
cnf(s8,plain,
( ~ spl29_2
| ~ spl29_18 ),
inference(sat_conversion,[],[f523]) ).
cnf(s9,plain,
spl29_3,
inference(sat_conversion,[],[f525]) ).
cnf(s10,plain,
spl29_4,
inference(sat_conversion,[],[f527]) ).
cnf(s11,plain,
spl29_5,
inference(sat_conversion,[],[f529]) ).
cnf(s12,plain,
spl29_6,
inference(sat_conversion,[],[f531]) ).
cnf(s13,plain,
spl29_7,
inference(sat_conversion,[],[f533]) ).
cnf(s14,plain,
spl29_8,
inference(sat_conversion,[],[f535]) ).
cnf(s15,plain,
spl29_9,
inference(sat_conversion,[],[f537]) ).
cnf(s16,plain,
spl29_10,
inference(sat_conversion,[],[f539]) ).
cnf(s17,plain,
spl29_11,
inference(sat_conversion,[],[f541]) ).
cnf(s18,plain,
( ~ spl29_14
| ~ spl29_15
| ~ spl29_16
| ~ spl29_17
| spl29_18 ),
inference(sat_conversion,[],[f547]) ).
cnf(s19,plain,
( ~ spl29_1
| ~ spl29_12
| spl29_13 ),
inference(sat_conversion,[],[f551]) ).
cnf(s20,plain,
( spl29_2
| ~ spl29_13 ),
inference(rat,[],[s3,s17,s16,s15,s14,s13,s12,s11,s10,s9]) ).
cnf(s21,plain,
( spl29_2
| spl29_12 ),
inference(rat,[],[s2,s17,s16,s15,s14,s13,s12,s11,s10,s9]) ).
cnf(s22,plain,
( spl29_1
| spl29_2 ),
inference(rat,[],[s1,s17,s16,s15,s14,s13,s12,s11,s10,s9]) ).
cnf(s23,plain,
~ spl29_2,
inference(rat,[],[s18,s4,s5,s6,s7,s8]) ).
cnf(s24,plain,
~ spl29_13,
inference(rat,[],[s20,s23]) ).
cnf(s25,plain,
spl29_12,
inference(rat,[],[s21,s23]) ).
cnf(s26,plain,
spl29_1,
inference(rat,[],[s22,s23]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s19,s26,s24,s25]) ).
fof(f552,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV030+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n018.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 09:45:09 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 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
% 4.03/1.45 % (3266224)Detected formulas, will run a generic FOF schedule.
% 4.03/1.45 % (3266231)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=2083722535:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.03/1.45 % (3266235)dis-21_1_sil=8000:lcm=predicate:random_seed=1258719712: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)
% 4.03/1.45 % (3266235)First to succeed.
% 4.03/1.45 % (3266235)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3266224"
% 4.03/1.45 % (3266233)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3204170568:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.03/1.45 % (3266230)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=2138729378:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.03/1.45 % (3266234)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=451292481:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.03/1.45 % (3266229)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=2130709717:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.03/1.45 % (3266233)Also succeeded, but the first one will report.
% 4.03/1.45 % (3266232)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=101727071:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.03/1.45 % (3266234)Instruction limit reached!
% 4.03/1.45 % (3266234)------------------------------
% 4.03/1.45 % (3266234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.45 % (3266234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.45 % (3266234)CaDiCaL version: 2.1.3
% 4.03/1.45 % (3266234)Termination reason: Instruction limit
% 4.03/1.45 % (3266234)Termination phase: Saturation
% 4.03/1.45 % (3266234)Time elapsed: 0.146 s
% 4.03/1.45 % (3266234)Peak memory usage: 89 MB
% 4.03/1.45 % (3266234)Instructions burned: 139 (million)
% 4.03/1.45 % (3266232)Instruction limit reached!
% 4.03/1.45 % (3266232)------------------------------
% 4.03/1.45 % (3266232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.45 % (3266232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.45 % (3266232)CaDiCaL version: 2.1.3
% 4.03/1.45 % (3266232)Termination reason: Instruction limit
% 4.03/1.45 % (3266232)Termination phase: Saturation
% 4.03/1.45 % (3266232)Time elapsed: 0.104 s
% 4.03/1.45 % (3266232)Peak memory usage: 89 MB
% 4.03/1.45 % (3266232)Instructions burned: 109 (million)
% 4.03/1.45 % (3266235)Refutation found. Thanks to Tanya!
% 4.03/1.45 % SZS status Theorem for theBenchmark
% 4.03/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/1.71 % (3266235)------------------------------
% 0.25/1.71 % (3266235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/1.71 % (3266235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/1.71 % (3266235)CaDiCaL version: 2.1.3
% 0.25/1.71 % (3266235)Termination reason: Refutation
% 0.25/1.71 % (3266235)Time elapsed: 0.010 s
% 0.25/1.71 % (3266235)Peak memory usage: 89 MB
% 0.25/1.71 % (3266235)Instructions burned: 13 (million)
% 0.25/1.71 % (3266235)------------------------------
% 0.25/1.71 % (3266235)------------------------------
% 0.25/1.71 % (3266224)Success in time 0.542 s
% 0.25/1.71 % Vampire exiting
%------------------------------------------------------------------------------