%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV026+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:20:01 PM UTC 2026
% Result : Theorem 0.34s 0.42s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 157 ( 23 unt; 9 def)
% Number of atoms : 1295 ( 321 equ)
% Maximal formula atoms : 70 ( 8 avg)
% Number of connectives : 1844 ( 706 ~; 806 |; 300 &)
% ( 6 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 57 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,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,n3) )
=> a_select2(s_values7_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n2) )
=> a_select2(s_center7_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n3,n1)) )
=> a_select2(s_try7_init,X4) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n2) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n3) )
=> a_select3(simplex7_init,X6,X5) = init ) )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n3) )
=> a_select2(s_values7_init,X7) = init )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> a_select2(s_center7_init,X8) = init )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,minus(n3,n1)) )
=> a_select2(s_try7_init,X9) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0017) ).
fof(f54,negated_conjecture,
~ ( ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,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,n3) )
=> a_select2(s_values7_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n2) )
=> a_select2(s_center7_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n3,n1)) )
=> a_select2(s_try7_init,X4) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n2) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n3) )
=> a_select3(simplex7_init,X6,X5) = init ) )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n3) )
=> a_select2(s_values7_init,X7) = init )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> a_select2(s_center7_init,X8) = init )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,minus(n3,n1)) )
=> a_select2(s_try7_init,X9) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f151,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(n0,X7)
& leq(X7,n3) )
| ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,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,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& ! [X4] :
( a_select2(s_try7_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f152,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(n0,X7)
& leq(X7,n3) )
| ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,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,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& ! [X4] :
( a_select2(s_try7_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f151]) ).
fof(f172,definition,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f173,definition,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f174,definition,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f175,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(n0,X7)
& leq(X7,n3) )
| sP6
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,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,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& ! [X4] :
( a_select2(s_try7_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(definition_folding,[],[f152,f174,f173,f172]) ).
fof(f209,plain,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f174]) ).
fof(f210,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP6 ),
inference(rectify,[],[f209]) ).
fof(f211,plain,
( ( init != a_select2(s_center7_init,sK34)
& leq(n0,sK34)
& leq(sK34,n2) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X0,sK34)],[f210]) ).
fof(f212,plain,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f173]) ).
fof(f213,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(n0,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP5 ),
inference(rectify,[],[f212]) ).
fof(f214,plain,
( ( init != a_select2(s_try7_init,sK35)
& leq(n0,sK35)
& leq(sK35,minus(n3,n1)) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f213]) ).
fof(f215,plain,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f172]) ).
fof(f216,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(n0,X1)
& leq(X1,n3) )
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP4 ),
inference(rectify,[],[f215]) ).
fof(f217,plain,
( ( init != a_select3(simplex7_init,sK37,sK36)
& leq(n0,sK37)
& leq(sK37,n3)
& leq(n0,sK36)
& leq(sK36,n2) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X0,sK36),skolemize(X1,sK37)],[f216]) ).
fof(f218,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(n0,X0)
& leq(X0,n3) )
| sP6
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,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,n3) )
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) )
& ! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f175]) ).
fof(f219,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| ( init != a_select2(s_values7_init,sK38)
& leq(n0,sK38)
& leq(sK38,n3) )
| sP6
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,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,n3) )
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) )
& ! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X0,sK38)],[f218]) ).
fof(f330,plain,
( leq(sK34,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f211]) ).
fof(f331,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f211]) ).
fof(f332,plain,
( init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f211]) ).
fof(f333,plain,
( leq(sK35,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f214]) ).
fof(f334,plain,
( leq(n0,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f214]) ).
fof(f335,plain,
( init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f214]) ).
fof(f336,plain,
( leq(sK36,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f337,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f338,plain,
( leq(sK37,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f339,plain,
( leq(n0,sK37)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f340,plain,
( init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f341,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f342,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f343,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f344,plain,
! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f345,plain,
! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) ),
inference(cnf_transformation,[],[f219]) ).
fof(f346,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f347,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,[],[f219]) ).
fof(f348,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f219]) ).
fof(f349,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f219]) ).
fof(f350,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f219]) ).
fof(f352,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f219]) ).
fof(f353,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f219]) ).
fof(f354,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f219]) ).
fof(f355,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f219]) ).
fof(f356,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f219]) ).
fof(f357,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f219]) ).
fof(f359,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f219]) ).
fof(f360,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f219]) ).
fof(f361,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f219]) ).
fof(f362,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f219]) ).
fof(f363,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f219]) ).
fof(f364,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f219]) ).
fof(f366,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f367,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f219]) ).
fof(f368,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f369,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f219]) ).
fof(f370,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f371,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f219]) ).
fof(f440,plain,
( s_best7_init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(definition_unfolding,[],[f332,f364]) ).
fof(f441,plain,
( s_best7_init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(definition_unfolding,[],[f335,f364]) ).
fof(f442,plain,
( s_best7_init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(definition_unfolding,[],[f340,f364]) ).
fof(f443,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f371,f364,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f444,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f370,f364,f364,f364,f364,f364,f364]) ).
fof(f445,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f369,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f446,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f368,f364,f364,f364,f364,f364]) ).
fof(f447,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f367,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f448,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f366,f364,f364,f364,f364,f364]) ).
fof(f450,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f363,f364]) ).
fof(f451,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f362,f364]) ).
fof(f452,plain,
! [X2,X1] :
( ~ leq(n0,X2)
| s_best7_init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(definition_unfolding,[],[f347,f364]) ).
fof(f453,plain,
! [X3] :
( ~ leq(n0,X3)
| s_best7_init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3) ),
inference(definition_unfolding,[],[f346,f364]) ).
fof(f454,plain,
! [X4] :
( ~ leq(n0,X4)
| s_best7_init = a_select2(s_center7_init,X4)
| ~ leq(X4,n2) ),
inference(definition_unfolding,[],[f345,f364]) ).
fof(f455,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| s_best7_init = a_select2(s_try7_init,X5) ),
inference(definition_unfolding,[],[f344,f364]) ).
fof(f456,plain,
( s_best7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f343,f364]) ).
fof(f457,plain,
( s_best7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f342,f364]) ).
fof(f458,plain,
( s_best7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f341,f364]) ).
fof(f467,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f468,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f467]) ).
fof(f469,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f470,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f469]) ).
fof(f471,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f472,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f473,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f445]) ).
fof(f474,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f473]) ).
fof(f475,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f476,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f475]) ).
fof(f477,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f478,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f477]) ).
fof(f480,plain,
( sP4
| leq(sK38,n3)
| sP6
| sP5 ),
inference(global_subsumption,[],[f470,f468,f450,f451,f361,f360,f359,f357,f356,f355,f354,f353,f352,f350,f349,f348,f456,f457,f458]) ).
fof(f482,plain,
( sP4
| leq(n0,sK38)
| sP6
| sP5 ),
inference(global_subsumption,[],[f474,f472,f450,f451,f361,f360,f359,f357,f356,f355,f354,f353,f352,f350,f349,f348,f456,f457,f458]) ).
fof(f484,plain,
( sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5 ),
inference(global_subsumption,[],[f478,f476,f450,f451,f361,f360,f359,f357,f356,f355,f354,f353,f352,f350,f349,f348,f456,f457,f458]) ).
fof(f489,definition,
( spl39_1
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).
fof(f490,plain,
( sP6
| ~ spl39_1 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( ~ sP6
| spl39_1 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f493,definition,
( spl39_2
<=> s_best7_init = a_select2(s_center7_init,sK34) ),
introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition]) ).
fof(f495,plain,
( s_best7_init != a_select2(s_center7_init,sK34)
| spl39_2 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f496,plain,
( ~ spl39_1
| ~ spl39_2 ),
inference(avatar_split_clause,[],[f440,f493,f489]) ).
fof(f498,definition,
( spl39_3
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition]) ).
fof(f499,plain,
( sP5
| ~ spl39_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f500,plain,
( ~ sP5
| spl39_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl39_4
<=> s_best7_init = a_select2(s_try7_init,sK35) ),
introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition]) ).
fof(f504,plain,
( s_best7_init != a_select2(s_try7_init,sK35)
| spl39_4 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( ~ spl39_3
| ~ spl39_4 ),
inference(avatar_split_clause,[],[f441,f502,f498]) ).
fof(f507,definition,
( spl39_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition]) ).
fof(f508,plain,
( sP4
| ~ spl39_5 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( ~ sP4
| spl39_5 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl39_6
<=> s_best7_init = a_select3(simplex7_init,sK37,sK36) ),
introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).
fof(f513,plain,
( s_best7_init != a_select3(simplex7_init,sK37,sK36)
| spl39_6 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f514,plain,
( ~ spl39_5
| ~ spl39_6 ),
inference(avatar_split_clause,[],[f442,f511,f507]) ).
fof(f548,plain,
( leq(sK38,n3)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f480,f509]) ).
fof(f549,plain,
( leq(sK38,n3)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f548,f491]) ).
fof(f550,plain,
( leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f549,f500]) ).
fof(f551,plain,
( leq(n0,sK38)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f482,f509]) ).
fof(f552,plain,
( leq(n0,sK38)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f551,f491]) ).
fof(f553,plain,
( leq(n0,sK38)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f552,f500]) ).
fof(f554,plain,
( s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f484,f509]) ).
fof(f555,plain,
( s_best7_init != a_select2(s_values7_init,sK38)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f554,f491]) ).
fof(f556,plain,
( s_best7_init != a_select2(s_values7_init,sK38)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f555,f500]) ).
fof(f573,plain,
( s_best7_init = a_select2(s_values7_init,sK38)
| ~ leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5 ),
inference(resolution,[],[f453,f553]) ).
fof(f574,plain,
( ~ leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f573,f556]) ).
fof(f579,plain,
( $false
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f574,f550]) ).
fof(f580,plain,
( spl39_1
| spl39_3
| spl39_5 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f867,plain,
( leq(n0,sK35)
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f334,f499]) ).
fof(f877,plain,
( leq(sK35,minus(n3,n1))
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f333,f499]) ).
fof(f878,plain,
( ~ leq(n0,sK35)
| s_best7_init = a_select2(s_try7_init,sK35)
| ~ spl39_3 ),
inference(resolution,[],[f877,f455]) ).
fof(f879,plain,
( s_best7_init = a_select2(s_try7_init,sK35)
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f878,f867]) ).
fof(f880,plain,
( $false
| ~ spl39_3
| spl39_4 ),
inference(forward_subsumption_resolution,[],[f879,f504]) ).
fof(f881,plain,
( ~ spl39_3
| spl39_4 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f1004,plain,
( leq(sK34,n2)
| ~ spl39_1 ),
inference(forward_subsumption_resolution,[],[f330,f490]) ).
fof(f1005,plain,
( leq(n0,sK34)
| ~ spl39_1 ),
inference(forward_subsumption_resolution,[],[f331,f490]) ).
fof(f1007,plain,
( s_best7_init = a_select2(s_center7_init,sK34)
| ~ leq(sK34,n2)
| ~ spl39_1 ),
inference(resolution,[],[f1005,f454]) ).
fof(f1009,plain,
( ~ leq(sK34,n2)
| ~ spl39_1
| spl39_2 ),
inference(forward_subsumption_resolution,[],[f1007,f495]) ).
fof(f1010,plain,
( $false
| ~ spl39_1
| spl39_2 ),
inference(forward_subsumption_resolution,[],[f1009,f1004]) ).
fof(f1011,plain,
( ~ spl39_1
| spl39_2 ),
inference(avatar_contradiction_clause,[],[f1010]) ).
fof(f1301,plain,
( leq(sK36,n2)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f336,f508]) ).
fof(f1302,plain,
( leq(n0,sK36)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f337,f508]) ).
fof(f1326,plain,
( leq(sK37,n3)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f338,f508]) ).
fof(f1327,plain,
( leq(n0,sK37)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f339,f508]) ).
fof(f1328,plain,
( ! [X0] :
( s_best7_init = a_select3(simplex7_init,sK37,X0)
| ~ leq(sK37,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
| ~ spl39_5 ),
inference(resolution,[],[f1327,f452]) ).
fof(f1339,plain,
( ! [X0] :
( ~ leq(n0,X0)
| s_best7_init = a_select3(simplex7_init,sK37,X0)
| ~ leq(X0,n2) )
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f1328,f1326]) ).
fof(f1368,plain,
( s_best7_init = a_select3(simplex7_init,sK37,sK36)
| ~ leq(sK36,n2)
| ~ spl39_5 ),
inference(resolution,[],[f1339,f1302]) ).
fof(f1370,plain,
( ~ leq(sK36,n2)
| ~ spl39_5
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1368,f513]) ).
fof(f1375,plain,
( $false
| ~ spl39_5
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1370,f1301]) ).
fof(f1376,plain,
( ~ spl39_5
| spl39_6 ),
inference(avatar_contradiction_clause,[],[f1375]) ).
cnf(s206,plain,
( ~ spl39_1
| ~ spl39_2 ),
inference(sat_conversion,[],[f496]) ).
cnf(s210,plain,
( ~ spl39_3
| ~ spl39_4 ),
inference(sat_conversion,[],[f505]) ).
cnf(s214,plain,
( ~ spl39_5
| ~ spl39_6 ),
inference(sat_conversion,[],[f514]) ).
cnf(s269,plain,
( spl39_1
| spl39_3
| spl39_5 ),
inference(sat_conversion,[],[f580]) ).
cnf(s572,plain,
( ~ spl39_3
| spl39_4 ),
inference(sat_conversion,[],[f881]) ).
cnf(s661,plain,
( ~ spl39_1
| spl39_2 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s818,plain,
( ~ spl39_5
| spl39_6 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s823,plain,
~ spl39_5,
inference(rat,[],[s214,s818]) ).
cnf(s824,plain,
~ spl39_3,
inference(rat,[],[s210,s572]) ).
cnf(s825,plain,
spl39_1,
inference(rat,[],[s269,s823,s824]) ).
cnf(s826,plain,
spl39_2,
inference(rat,[],[s661,s825]) ).
cnf(s827,plain,
$false,
inference(rat,[],[s206,s826,s825]) ).
fof(f1379,plain,
$false,
inference(avatar_sat_refutation,[],[s827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV026+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.28 % Computer : n019.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8046.5625MB
% 0.11/0.28 % OS : Linux 6.8.0-71-generic
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Mon Sep 28 09:43:18 UTC 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.29/0.34 Running first-order model finding
% 0.29/0.34 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.42 % (3886736)Will run a generic schedule for satisfiability detection.
% 0.34/0.42 % (3886743)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3593677018:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.42 % (3886742)% WARNING: option uhcvi not known.
% 0.34/0.42 % (3886745)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1098480878:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.42 % (3886746)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=727725920:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.42 % (3886747)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=603266762:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.42 % (3886744)dis+10_1_sil=32000:sp=arity:random_seed=3776109804:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.42 % (3886742)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4174610488:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.42 % (3886741)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2321400778_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.42 % (3886743) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3886736-3886743"...
% 0.34/0.42 % (3886743)...printing done.
% 0.34/0.42 % (3886743)Refutation found. Thanks to Tanya!
% 0.34/0.42 % SZS status Theorem for theBenchmark
% 0.34/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.42 % (3886743)------------------------------
% 0.34/0.42 % (3886743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.42 % (3886743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.42 % (3886743)CaDiCaL version: 2.1.3
% 0.34/0.42 % (3886743)Termination reason: Refutation
% 0.34/0.42 % (3886743)Time elapsed: 0.025 s
% 0.34/0.42 % (3886743)Peak memory usage: 13 MB
% 0.34/0.42 % (3886743)Instructions burned: 49 (million)
% 0.34/0.42 % (3886736)Success in time 0.068 s
% 0.34/0.42 % Vampire exiting
%------------------------------------------------------------------------------