%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV028+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 : n014.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 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 36
% Syntax : Number of formulae : 252 ( 45 unt; 35 def)
% Number of atoms : 1577 ( 361 equ)
% Maximal formula atoms : 62 ( 6 avg)
% Number of connectives : 2238 ( 913 ~;1003 |; 264 &)
% ( 32 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 36 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 58 !; 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,pv19)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,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,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& 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_0025) ).
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,pv19)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,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,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& 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(f143,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,pv19)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,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(f144,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,pv19)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,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,[],[f143]) ).
fof(f164,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(f165,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(f166,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(f167,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,pv19)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,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,[],[f144,f166,f165,f164]) ).
fof(f201,plain,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f166]) ).
fof(f202,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP6 ),
inference(rectify,[],[f201]) ).
fof(f203,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)],[f202]) ).
fof(f204,plain,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f165]) ).
fof(f205,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(n0,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP5 ),
inference(rectify,[],[f204]) ).
fof(f206,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)],[f205]) ).
fof(f207,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,[],[f164]) ).
fof(f208,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,[],[f207]) ).
fof(f209,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)],[f208]) ).
fof(f210,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,pv19)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,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,[],[f167]) ).
fof(f211,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,pv19)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,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)],[f210]) ).
fof(f322,plain,
( leq(sK34,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f203]) ).
fof(f323,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f203]) ).
fof(f324,plain,
( init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f203]) ).
fof(f325,plain,
( leq(sK35,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f206]) ).
fof(f326,plain,
( leq(n0,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f206]) ).
fof(f327,plain,
( init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f206]) ).
fof(f328,plain,
( leq(sK36,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f329,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f330,plain,
( leq(sK37,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f331,plain,
( leq(n0,sK37)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f332,plain,
( init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f333,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f334,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f335,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f336,plain,
! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f337,plain,
! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f338,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f339,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,[],[f211]) ).
fof(f340,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f211]) ).
fof(f342,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f211]) ).
fof(f343,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f211]) ).
fof(f344,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f211]) ).
fof(f345,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f211]) ).
fof(f347,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f211]) ).
fof(f348,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f211]) ).
fof(f349,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f211]) ).
fof(f350,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f211]) ).
fof(f351,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f211]) ).
fof(f352,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f211]) ).
fof(f354,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f355,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f211]) ).
fof(f356,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f357,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f211]) ).
fof(f358,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f359,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f211]) ).
fof(f420,plain,
( s_best7_init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(definition_unfolding,[],[f324,f352]) ).
fof(f421,plain,
( s_best7_init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(definition_unfolding,[],[f327,f352]) ).
fof(f422,plain,
( s_best7_init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(definition_unfolding,[],[f332,f352]) ).
fof(f423,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f359,f352,f352,f352,f352,f352,f352,f352,f352,f352]) ).
fof(f424,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f358,f352,f352,f352,f352,f352,f352]) ).
fof(f425,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f357,f352,f352,f352,f352,f352,f352,f352,f352]) ).
fof(f426,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f356,f352,f352,f352,f352,f352]) ).
fof(f427,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f355,f352,f352,f352,f352,f352,f352,f352,f352]) ).
fof(f428,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f354,f352,f352,f352,f352,f352]) ).
fof(f430,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f351,f352]) ).
fof(f431,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f350,f352]) ).
fof(f432,plain,
! [X2,X1] :
( ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X2,n3)
| ~ leq(X1,n2)
| s_best7_init = a_select3(simplex7_init,X2,X1) ),
inference(definition_unfolding,[],[f339,f352]) ).
fof(f433,plain,
! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n3)
| s_best7_init = a_select2(s_values7_init,X3) ),
inference(definition_unfolding,[],[f338,f352]) ).
fof(f434,plain,
! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n2)
| s_best7_init = a_select2(s_center7_init,X4) ),
inference(definition_unfolding,[],[f337,f352]) ).
fof(f435,plain,
! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1))
| s_best7_init = a_select2(s_try7_init,X5) ),
inference(definition_unfolding,[],[f336,f352]) ).
fof(f436,plain,
( s_best7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f335,f352]) ).
fof(f437,plain,
( s_best7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f334,f352]) ).
fof(f438,plain,
( s_best7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f333,f352]) ).
fof(f467,plain,
( s_best7_init != a_select2(s_center7_init,sK34)
| sP6 ),
inference(consistent_polarity_flipping,[],[f420]) ).
fof(f468,plain,
( leq(n0,sK34)
| sP6 ),
inference(consistent_polarity_flipping,[],[f323]) ).
fof(f469,plain,
( leq(sK34,n2)
| sP6 ),
inference(consistent_polarity_flipping,[],[f322]) ).
fof(f470,plain,
( s_best7_init != a_select3(simplex7_init,sK37,sK36)
| sP4 ),
inference(consistent_polarity_flipping,[],[f422]) ).
fof(f471,plain,
( leq(n0,sK37)
| sP4 ),
inference(consistent_polarity_flipping,[],[f331]) ).
fof(f472,plain,
( leq(sK37,n3)
| sP4 ),
inference(consistent_polarity_flipping,[],[f330]) ).
fof(f473,plain,
( leq(n0,sK36)
| sP4 ),
inference(consistent_polarity_flipping,[],[f329]) ).
fof(f474,plain,
( leq(sK36,n2)
| sP4 ),
inference(consistent_polarity_flipping,[],[f328]) ).
fof(f475,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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(consistent_polarity_flipping,[],[f423]) ).
fof(f476,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(consistent_polarity_flipping,[],[f424]) ).
fof(f477,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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(consistent_polarity_flipping,[],[f425]) ).
fof(f478,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| leq(n0,sK38)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(consistent_polarity_flipping,[],[f426]) ).
fof(f479,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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(consistent_polarity_flipping,[],[f427]) ).
fof(f480,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| leq(sK38,n3)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(consistent_polarity_flipping,[],[f428]) ).
fof(f481,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| leq(sK38,n3)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f480]) ).
fof(f482,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| leq(sK38,n3)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f481]) ).
fof(f483,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f479]) ).
fof(f484,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f483]) ).
fof(f485,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| leq(n0,sK38)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f478]) ).
fof(f486,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| leq(n0,sK38)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f485]) ).
fof(f487,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f477]) ).
fof(f488,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f487]) ).
fof(f489,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f476]) ).
fof(f490,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| ~ sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| ~ sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f491,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f475]) ).
fof(f492,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,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ 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,[],[f491]) ).
fof(f494,definition,
( spl39_1
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).
fof(f498,definition,
( spl39_2
<=> s_best7_init = pvar1402_init ),
introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition]) ).
fof(f501,plain,
( ~ spl39_1
| spl39_2 ),
inference(avatar_split_clause,[],[f438,f498,f494]) ).
fof(f503,definition,
( spl39_3
<=> s_best7_init = pvar1401_init ),
introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition]) ).
fof(f506,plain,
( ~ spl39_1
| spl39_3 ),
inference(avatar_split_clause,[],[f437,f503,f494]) ).
fof(f508,definition,
( spl39_4
<=> s_best7_init = pvar1400_init ),
introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition]) ).
fof(f511,plain,
( ~ spl39_1
| spl39_4 ),
inference(avatar_split_clause,[],[f436,f508,f494]) ).
fof(f513,definition,
( spl39_5
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition]) ).
fof(f517,definition,
( spl39_6
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).
fof(f521,definition,
( spl39_7
<=> leq(sK38,n3) ),
introduced(definition,[new_symbols(definition,[spl39_7])],[avatar_definition]) ).
fof(f523,plain,
( leq(sK38,n3)
| ~ spl39_7 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f525,definition,
( spl39_8
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl39_8])],[avatar_definition]) ).
fof(f529,definition,
( spl39_9
<=> leq(pv1376,n3) ),
introduced(definition,[new_symbols(definition,[spl39_9])],[avatar_definition]) ).
fof(f531,plain,
( ~ leq(pv1376,n3)
| spl39_9 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl39_10
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[spl39_10])],[avatar_definition]) ).
fof(f535,plain,
( ~ leq(s_worst7,n3)
| spl39_10 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f537,definition,
( spl39_11
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[spl39_11])],[avatar_definition]) ).
fof(f539,plain,
( ~ leq(s_sworst7,n3)
| spl39_11 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f541,definition,
( spl39_12
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[spl39_12])],[avatar_definition]) ).
fof(f543,plain,
( ~ leq(s_best7,n3)
| spl39_12 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f545,definition,
( spl39_13
<=> leq(n0,pv1376) ),
introduced(definition,[new_symbols(definition,[spl39_13])],[avatar_definition]) ).
fof(f547,plain,
( ~ leq(n0,pv1376)
| spl39_13 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f549,definition,
( spl39_14
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[spl39_14])],[avatar_definition]) ).
fof(f551,plain,
( ~ leq(n0,s_worst7)
| spl39_14 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f553,definition,
( spl39_15
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[spl39_15])],[avatar_definition]) ).
fof(f555,plain,
( ~ leq(n0,s_sworst7)
| spl39_15 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,definition,
( spl39_16
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[spl39_16])],[avatar_definition]) ).
fof(f559,plain,
( ~ leq(n0,s_best7)
| spl39_16 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f561,definition,
( spl39_17
<=> s_best7_init = s_worst7_init ),
introduced(definition,[new_symbols(definition,[spl39_17])],[avatar_definition]) ).
fof(f563,plain,
( s_best7_init != s_worst7_init
| spl39_17 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f565,definition,
( spl39_18
<=> s_best7_init = s_sworst7_init ),
introduced(definition,[new_symbols(definition,[spl39_18])],[avatar_definition]) ).
fof(f567,plain,
( s_best7_init != s_sworst7_init
| spl39_18 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f482,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f494]) ).
fof(f569,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f484,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f521,f517,f513,f508,f503,f498]) ).
fof(f571,definition,
( spl39_19
<=> leq(n0,sK38) ),
introduced(definition,[new_symbols(definition,[spl39_19])],[avatar_definition]) ).
fof(f574,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| spl39_19
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f486,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f571,f517,f513,f494]) ).
fof(f575,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| spl39_19
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f488,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f571,f517,f513,f508,f503,f498]) ).
fof(f577,definition,
( spl39_20
<=> s_best7_init = a_select2(s_values7_init,sK38) ),
introduced(definition,[new_symbols(definition,[spl39_20])],[avatar_definition]) ).
fof(f580,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| ~ spl39_20
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f490,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f577,f517,f513,f494]) ).
fof(f581,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| ~ spl39_20
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f492,f565,f561,f557,f553,f549,f545,f541,f537,f533,f529,f525,f577,f517,f513,f508,f503,f498]) ).
fof(f583,definition,
( spl39_21
<=> leq(sK36,n2) ),
introduced(definition,[new_symbols(definition,[spl39_21])],[avatar_definition]) ).
fof(f585,plain,
( leq(sK36,n2)
| ~ spl39_21 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,plain,
( spl39_8
| spl39_21 ),
inference(avatar_split_clause,[],[f474,f583,f525]) ).
fof(f588,definition,
( spl39_22
<=> leq(n0,sK36) ),
introduced(definition,[new_symbols(definition,[spl39_22])],[avatar_definition]) ).
fof(f591,plain,
( spl39_8
| spl39_22 ),
inference(avatar_split_clause,[],[f473,f588,f525]) ).
fof(f593,definition,
( spl39_23
<=> leq(sK37,n3) ),
introduced(definition,[new_symbols(definition,[spl39_23])],[avatar_definition]) ).
fof(f595,plain,
( leq(sK37,n3)
| ~ spl39_23 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
( spl39_8
| spl39_23 ),
inference(avatar_split_clause,[],[f472,f593,f525]) ).
fof(f598,definition,
( spl39_24
<=> leq(n0,sK37) ),
introduced(definition,[new_symbols(definition,[spl39_24])],[avatar_definition]) ).
fof(f601,plain,
( spl39_8
| spl39_24 ),
inference(avatar_split_clause,[],[f471,f598,f525]) ).
fof(f603,definition,
( spl39_25
<=> s_best7_init = a_select3(simplex7_init,sK37,sK36) ),
introduced(definition,[new_symbols(definition,[spl39_25])],[avatar_definition]) ).
fof(f606,plain,
( spl39_8
| ~ spl39_25 ),
inference(avatar_split_clause,[],[f470,f603,f525]) ).
fof(f608,definition,
( spl39_26
<=> leq(sK35,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl39_26])],[avatar_definition]) ).
fof(f610,plain,
( leq(sK35,minus(n3,n1))
| ~ spl39_26 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f611,plain,
( ~ spl39_5
| spl39_26 ),
inference(avatar_split_clause,[],[f325,f608,f513]) ).
fof(f613,definition,
( spl39_27
<=> leq(n0,sK35) ),
introduced(definition,[new_symbols(definition,[spl39_27])],[avatar_definition]) ).
fof(f616,plain,
( ~ spl39_5
| spl39_27 ),
inference(avatar_split_clause,[],[f326,f613,f513]) ).
fof(f618,definition,
( spl39_28
<=> s_best7_init = a_select2(s_try7_init,sK35) ),
introduced(definition,[new_symbols(definition,[spl39_28])],[avatar_definition]) ).
fof(f621,plain,
( ~ spl39_5
| ~ spl39_28 ),
inference(avatar_split_clause,[],[f421,f618,f513]) ).
fof(f623,definition,
( spl39_29
<=> leq(sK34,n2) ),
introduced(definition,[new_symbols(definition,[spl39_29])],[avatar_definition]) ).
fof(f625,plain,
( leq(sK34,n2)
| ~ spl39_29 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f626,plain,
( spl39_6
| spl39_29 ),
inference(avatar_split_clause,[],[f469,f623,f517]) ).
fof(f628,definition,
( spl39_30
<=> leq(n0,sK34) ),
introduced(definition,[new_symbols(definition,[spl39_30])],[avatar_definition]) ).
fof(f631,plain,
( spl39_6
| spl39_30 ),
inference(avatar_split_clause,[],[f468,f628,f517]) ).
fof(f633,definition,
( spl39_31
<=> s_best7_init = a_select2(s_center7_init,sK34) ),
introduced(definition,[new_symbols(definition,[spl39_31])],[avatar_definition]) ).
fof(f636,plain,
( spl39_6
| ~ spl39_31 ),
inference(avatar_split_clause,[],[f467,f633,f517]) ).
fof(f637,plain,
( $false
| spl39_9 ),
inference(resolution,[],[f531,f340]) ).
fof(f638,plain,
spl39_9,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f639,plain,
( $false
| spl39_10 ),
inference(resolution,[],[f535,f342]) ).
fof(f640,plain,
spl39_10,
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f641,plain,
( $false
| spl39_11 ),
inference(resolution,[],[f539,f343]) ).
fof(f642,plain,
spl39_11,
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f643,plain,
( $false
| spl39_12 ),
inference(resolution,[],[f543,f344]) ).
fof(f644,plain,
spl39_12,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f645,plain,
( $false
| spl39_13 ),
inference(resolution,[],[f547,f345]) ).
fof(f646,plain,
spl39_13,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f647,plain,
( $false
| spl39_14 ),
inference(resolution,[],[f551,f347]) ).
fof(f648,plain,
spl39_14,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f649,plain,
( $false
| spl39_15 ),
inference(resolution,[],[f555,f348]) ).
fof(f650,plain,
spl39_15,
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f651,plain,
( $false
| spl39_16 ),
inference(resolution,[],[f559,f349]) ).
fof(f652,plain,
spl39_16,
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f653,plain,
( s_best7_init != s_best7_init
| spl39_17 ),
inference(superposition,[],[f563,f431]) ).
fof(f654,plain,
( $false
| spl39_17 ),
inference(trivial_inequality_removal,[],[f653]) ).
fof(f655,plain,
spl39_17,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f656,plain,
( s_best7_init != s_best7_init
| spl39_18 ),
inference(superposition,[],[f567,f430]) ).
fof(f657,plain,
( $false
| spl39_18 ),
inference(trivial_inequality_removal,[],[f656]) ).
fof(f658,plain,
spl39_18,
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f663,plain,
( ~ leq(n0,sK38)
| s_best7_init = a_select2(s_values7_init,sK38)
| ~ spl39_7 ),
inference(resolution,[],[f433,f523]) ).
fof(f664,plain,
( spl39_20
| ~ spl39_19
| ~ spl39_7 ),
inference(avatar_split_clause,[],[f663,f521,f571,f577]) ).
fof(f796,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(n0,sK36)
| ~ leq(X0,n3)
| s_best7_init = a_select3(simplex7_init,X0,sK36) )
| ~ spl39_21 ),
inference(resolution,[],[f585,f432]) ).
fof(f834,definition,
( spl39_62
<=> ! [X0] :
( ~ leq(n0,X0)
| s_best7_init = a_select3(simplex7_init,X0,sK36)
| ~ leq(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[spl39_62])],[avatar_definition]) ).
fof(f835,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| s_best7_init = a_select3(simplex7_init,X0,sK36) )
| ~ spl39_62 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f836,plain,
( ~ spl39_22
| spl39_62
| ~ spl39_21 ),
inference(avatar_split_clause,[],[f796,f583,f834,f588]) ).
fof(f843,plain,
( ~ leq(n0,sK37)
| s_best7_init = a_select3(simplex7_init,sK37,sK36)
| ~ spl39_23
| ~ spl39_62 ),
inference(resolution,[],[f595,f835]) ).
fof(f865,plain,
( spl39_25
| ~ spl39_24
| ~ spl39_23
| ~ spl39_62 ),
inference(avatar_split_clause,[],[f843,f834,f593,f598,f603]) ).
fof(f869,plain,
( ~ leq(n0,sK34)
| s_best7_init = a_select2(s_center7_init,sK34)
| ~ spl39_29 ),
inference(resolution,[],[f625,f434]) ).
fof(f906,plain,
( spl39_31
| ~ spl39_30
| ~ spl39_29 ),
inference(avatar_split_clause,[],[f869,f623,f628,f633]) ).
fof(f1111,plain,
( ~ leq(n0,sK35)
| s_best7_init = a_select2(s_try7_init,sK35)
| ~ spl39_26 ),
inference(resolution,[],[f610,f435]) ).
fof(f1112,plain,
( spl39_28
| ~ spl39_27
| ~ spl39_26 ),
inference(avatar_split_clause,[],[f1111,f608,f613,f618]) ).
cnf(s1,plain,
( ~ spl39_1
| spl39_2 ),
inference(sat_conversion,[],[f501]) ).
cnf(s2,plain,
( ~ spl39_1
| spl39_3 ),
inference(sat_conversion,[],[f506]) ).
cnf(s3,plain,
( ~ spl39_1
| spl39_4 ),
inference(sat_conversion,[],[f511]) ).
cnf(s4,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(sat_conversion,[],[f568]) ).
cnf(s5,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| spl39_7
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(sat_conversion,[],[f569]) ).
cnf(s6,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| spl39_19 ),
inference(sat_conversion,[],[f574]) ).
cnf(s7,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| spl39_19 ),
inference(sat_conversion,[],[f575]) ).
cnf(s8,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| ~ spl39_20 ),
inference(sat_conversion,[],[f580]) ).
cnf(s9,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| ~ spl39_8
| ~ spl39_9
| ~ spl39_10
| ~ spl39_11
| ~ spl39_12
| ~ spl39_13
| ~ spl39_14
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| ~ spl39_20 ),
inference(sat_conversion,[],[f581]) ).
cnf(s10,plain,
( spl39_8
| spl39_21 ),
inference(sat_conversion,[],[f586]) ).
cnf(s11,plain,
( spl39_8
| spl39_22 ),
inference(sat_conversion,[],[f591]) ).
cnf(s12,plain,
( spl39_8
| spl39_23 ),
inference(sat_conversion,[],[f596]) ).
cnf(s13,plain,
( spl39_8
| spl39_24 ),
inference(sat_conversion,[],[f601]) ).
cnf(s14,plain,
( spl39_8
| ~ spl39_25 ),
inference(sat_conversion,[],[f606]) ).
cnf(s15,plain,
( ~ spl39_5
| spl39_26 ),
inference(sat_conversion,[],[f611]) ).
cnf(s16,plain,
( ~ spl39_5
| spl39_27 ),
inference(sat_conversion,[],[f616]) ).
cnf(s17,plain,
( ~ spl39_5
| ~ spl39_28 ),
inference(sat_conversion,[],[f621]) ).
cnf(s18,plain,
( spl39_6
| spl39_29 ),
inference(sat_conversion,[],[f626]) ).
cnf(s19,plain,
( spl39_6
| spl39_30 ),
inference(sat_conversion,[],[f631]) ).
cnf(s20,plain,
( spl39_6
| ~ spl39_31 ),
inference(sat_conversion,[],[f636]) ).
cnf(s21,plain,
spl39_9,
inference(sat_conversion,[],[f638]) ).
cnf(s22,plain,
spl39_10,
inference(sat_conversion,[],[f640]) ).
cnf(s23,plain,
spl39_11,
inference(sat_conversion,[],[f642]) ).
cnf(s24,plain,
spl39_12,
inference(sat_conversion,[],[f644]) ).
cnf(s25,plain,
spl39_13,
inference(sat_conversion,[],[f646]) ).
cnf(s26,plain,
spl39_14,
inference(sat_conversion,[],[f648]) ).
cnf(s27,plain,
spl39_15,
inference(sat_conversion,[],[f650]) ).
cnf(s28,plain,
spl39_16,
inference(sat_conversion,[],[f652]) ).
cnf(s29,plain,
spl39_17,
inference(sat_conversion,[],[f655]) ).
cnf(s30,plain,
spl39_18,
inference(sat_conversion,[],[f658]) ).
cnf(s31,plain,
( ~ spl39_7
| ~ spl39_19
| spl39_20 ),
inference(sat_conversion,[],[f664]) ).
cnf(s58,plain,
( ~ spl39_21
| ~ spl39_22
| spl39_62 ),
inference(sat_conversion,[],[f836]) ).
cnf(s62,plain,
( ~ spl39_23
| ~ spl39_24
| spl39_25
| ~ spl39_62 ),
inference(sat_conversion,[],[f865]) ).
cnf(s69,plain,
( ~ spl39_29
| ~ spl39_30
| spl39_31 ),
inference(sat_conversion,[],[f906]) ).
cnf(s94,plain,
( ~ spl39_26
| ~ spl39_27
| spl39_28 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s129,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| ~ spl39_8
| ~ spl39_20 ),
inference(rat,[],[s9,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21]) ).
cnf(s130,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| ~ spl39_8
| ~ spl39_20 ),
inference(rat,[],[s8,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21]) ).
cnf(s131,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| ~ spl39_8
| spl39_19 ),
inference(rat,[],[s7,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21]) ).
cnf(s132,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| ~ spl39_8
| spl39_19 ),
inference(rat,[],[s6,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21]) ).
cnf(s133,plain,
( ~ spl39_2
| ~ spl39_3
| ~ spl39_4
| spl39_5
| ~ spl39_6
| spl39_7
| ~ spl39_8 ),
inference(rat,[],[s5,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21]) ).
cnf(s134,plain,
( spl39_1
| spl39_5
| ~ spl39_6
| spl39_7
| ~ spl39_8 ),
inference(rat,[],[s4,s30,s29,s28,s27,s26,s25,s24,s23,s22,s21]) ).
cnf(s135,plain,
spl39_6,
inference(rat,[],[s69,s18,s19,s20]) ).
cnf(s136,plain,
spl39_8,
inference(rat,[],[s58,s62,s10,s11,s12,s13,s14]) ).
cnf(s137,plain,
( spl39_5
| spl39_1 ),
inference(rat,[],[s31,s134,s132,s130,s136,s135]) ).
cnf(s138,plain,
~ spl39_5,
inference(rat,[],[s94,s15,s16,s17]) ).
cnf(s139,plain,
spl39_1,
inference(rat,[],[s137,s138]) ).
cnf(s140,plain,
spl39_4,
inference(rat,[],[s3,s139]) ).
cnf(s141,plain,
spl39_3,
inference(rat,[],[s2,s139]) ).
cnf(s142,plain,
spl39_2,
inference(rat,[],[s1,s139]) ).
cnf(s143,plain,
~ spl39_20,
inference(rat,[],[s129,s136,s138,s135,s141,s140,s142]) ).
cnf(s144,plain,
spl39_19,
inference(rat,[],[s131,s136,s138,s135,s141,s140,s142]) ).
cnf(s145,plain,
spl39_7,
inference(rat,[],[s133,s136,s138,s135,s141,s140,s142]) ).
cnf(s146,plain,
$false,
inference(rat,[],[s31,s143,s144,s145]) ).
fof(f1113,plain,
$false,
inference(avatar_sat_refutation,[],[s146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV028+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:42:46 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (1670997)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1671008)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2622118805:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (1671003)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1671006)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=819396911:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (1671002)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2211416559_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (1671004)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3798078416:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (1671005)dis+10_1_sil=32000:sp=arity:random_seed=2668977712:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (1671007)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4104010755:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (1671003)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=116459049:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (1671008) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1670997-1671008"...
% 0.20/0.27 % (1671008)...printing done.
% 0.20/0.27 % (1671008)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (1671008)------------------------------
% 0.20/0.27 % (1671008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1671008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1671008)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1671008)Termination reason: Refutation
% 0.20/0.27 % (1671008)Time elapsed: 0.012 s
% 0.20/0.27 % (1671008)Peak memory usage: 13 MB
% 0.20/0.27 % (1671008)Instructions burned: 38 (million)
% 0.20/0.27 % (1670997)Success in time 0.037 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------