%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV038+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 : n007.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 01:20:03 PM UTC 2026
% Result : Theorem 0.38s 0.27s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 36
% Syntax : Number of formulae : 227 ( 42 unt; 34 def)
% Number of atoms : 1335 ( 311 equ)
% Maximal formula atoms : 59 ( 5 avg)
% Number of connectives : 1841 ( 733 ~; 839 |; 209 &)
% ( 30 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 36 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 25 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 47 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(f53,conjecture,
( ( 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,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
& ( n0 != pv1413
=> ( 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,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 ) ) ) )
& ( n0 = pv1413
=> true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0065) ).
fof(f54,negated_conjecture,
~ ( ( 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,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
& ( n0 != pv1413
=> ( 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,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 ) ) ) )
& ( n0 = pv1413
=> true ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f135,plain,
( ( init != init
| ( ( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,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) ) )
& n0 != pv1413 )
| ( ~ true
& n0 = pv1413 ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,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(f136,plain,
( ( init != init
| ( ( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,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) ) )
& n0 != pv1413 )
| ( ~ true
& n0 = pv1413 ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,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,[],[f135]) ).
fof(f156,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(f157,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(f158,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(f159,definition,
( ( ( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,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) ) )
& n0 != pv1413 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f160,plain,
( ( init != init
| sP7
| ( ~ true
& n0 = pv1413 ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,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,[],[f136,f159,f158,f157,f156]) ).
fof(f194,plain,
( ( ( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,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) ) )
& n0 != pv1413 )
| ~ sP7 ),
inference(nnf_transformation,[],[f159]) ).
fof(f195,plain,
( ( ( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,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) ) )
& n0 != pv1413 )
| ~ sP7 ),
inference(rectify,[],[f194]) ).
fof(f196,plain,
( ( ( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| ( init != a_select2(s_values7_init,sK35)
& leq(n0,sK35)
& leq(sK35,n3) )
| sP6
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& n0 != pv1413 )
| ~ sP7 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f195]) ).
fof(f197,plain,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f158]) ).
fof(f198,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP6 ),
inference(rectify,[],[f197]) ).
fof(f199,plain,
( ( init != a_select2(s_center7_init,sK36)
& leq(n0,sK36)
& leq(sK36,n2) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f198]) ).
fof(f200,plain,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f157]) ).
fof(f201,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(n0,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP5 ),
inference(rectify,[],[f200]) ).
fof(f202,plain,
( ( init != a_select2(s_try7_init,sK37)
& leq(n0,sK37)
& leq(sK37,minus(n3,n1)) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f201]) ).
fof(f203,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,[],[f156]) ).
fof(f204,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,[],[f203]) ).
fof(f205,plain,
( ( init != a_select3(simplex7_init,sK39,sK38)
& leq(n0,sK39)
& leq(sK39,n3)
& leq(n0,sK38)
& leq(sK38,n2) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X0,sK38),skolemize(X1,sK39)],[f204]) ).
fof(f315,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f318,plain,
( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f319,plain,
( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f320,plain,
( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f321,plain,
( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f322,plain,
( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f323,plain,
( init != init
| s_best7_init != init
| init != s_sworst7_init
| init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f324,plain,
( leq(sK36,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f199]) ).
fof(f325,plain,
( leq(n0,sK36)
| ~ sP6 ),
inference(cnf_transformation,[],[f199]) ).
fof(f326,plain,
( init != a_select2(s_center7_init,sK36)
| ~ sP6 ),
inference(cnf_transformation,[],[f199]) ).
fof(f327,plain,
( leq(sK37,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f202]) ).
fof(f328,plain,
( leq(n0,sK37)
| ~ sP5 ),
inference(cnf_transformation,[],[f202]) ).
fof(f329,plain,
( init != a_select2(s_try7_init,sK37)
| ~ sP5 ),
inference(cnf_transformation,[],[f202]) ).
fof(f330,plain,
( leq(sK38,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f205]) ).
fof(f331,plain,
( leq(n0,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f205]) ).
fof(f332,plain,
( leq(sK39,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f205]) ).
fof(f333,plain,
( leq(n0,sK39)
| ~ sP4 ),
inference(cnf_transformation,[],[f205]) ).
fof(f334,plain,
( init != a_select3(simplex7_init,sK39,sK38)
| ~ sP4 ),
inference(cnf_transformation,[],[f205]) ).
fof(f335,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f336,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f337,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f338,plain,
! [X4] :
( init = a_select2(s_try7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f339,plain,
! [X3] :
( init = a_select2(s_center7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f340,plain,
! [X2] :
( init = a_select2(s_values7_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f341,plain,
! [X0,X1] :
( init = a_select3(simplex7_init,X1,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f342,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f160]) ).
fof(f343,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f160]) ).
fof(f344,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f160]) ).
fof(f345,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f160]) ).
fof(f346,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f160]) ).
fof(f347,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f160]) ).
fof(f348,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f160]) ).
fof(f349,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f160]) ).
fof(f350,plain,
s_best7_init = init,
inference(cnf_transformation,[],[f160]) ).
fof(f352,plain,
( init != init
| sP7
| ~ true ),
inference(cnf_transformation,[],[f160]) ).
fof(f385,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f350,f349]) ).
fof(f407,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(definition_unfolding,[],[f323,f349,f349,f385,f349,f349,f349,f349,f349,f349,f349]) ).
fof(f408,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(definition_unfolding,[],[f322,f349,f349,f385,f349,f349,f349,f349]) ).
fof(f409,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(definition_unfolding,[],[f321,f349,f349,f385,f349,f349,f349,f349,f349,f349]) ).
fof(f410,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(definition_unfolding,[],[f320,f349,f349,f385,f349,f349,f349]) ).
fof(f411,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(definition_unfolding,[],[f319,f349,f349,f385,f349,f349,f349,f349,f349,f349]) ).
fof(f412,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(definition_unfolding,[],[f318,f349,f349,f385,f349,f349,f349]) ).
fof(f413,plain,
( s_sworst7_init != a_select2(s_center7_init,sK36)
| ~ sP6 ),
inference(definition_unfolding,[],[f326,f349]) ).
fof(f414,plain,
( s_sworst7_init != a_select2(s_try7_init,sK37)
| ~ sP5 ),
inference(definition_unfolding,[],[f329,f349]) ).
fof(f415,plain,
( s_sworst7_init != a_select3(simplex7_init,sK39,sK38)
| ~ sP4 ),
inference(definition_unfolding,[],[f334,f349]) ).
fof(f416,plain,
( s_sworst7_init != s_sworst7_init
| sP7
| ~ true ),
inference(definition_unfolding,[],[f352,f349,f349]) ).
fof(f418,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f348,f349]) ).
fof(f419,plain,
! [X0,X1] :
( ~ leq(n0,X1)
| s_sworst7_init = a_select3(simplex7_init,X1,X0)
| ~ leq(X1,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(definition_unfolding,[],[f341,f349]) ).
fof(f420,plain,
! [X2] :
( ~ leq(n0,X2)
| s_sworst7_init = a_select2(s_values7_init,X2)
| ~ leq(X2,n3) ),
inference(definition_unfolding,[],[f340,f349]) ).
fof(f421,plain,
! [X3] :
( ~ leq(n0,X3)
| s_sworst7_init = a_select2(s_center7_init,X3)
| ~ leq(X3,n2) ),
inference(definition_unfolding,[],[f339,f349]) ).
fof(f422,plain,
! [X4] :
( ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X4)
| s_sworst7_init = a_select2(s_try7_init,X4) ),
inference(definition_unfolding,[],[f338,f349]) ).
fof(f423,plain,
( s_sworst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f337,f349]) ).
fof(f424,plain,
( s_sworst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f336,f349]) ).
fof(f425,plain,
( s_sworst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f335,f349]) ).
fof(f435,plain,
( sP7
| ~ true ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f436,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f437,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(trivial_inequality_removal,[],[f436]) ).
fof(f438,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f411]) ).
fof(f439,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(sK35,n3)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(trivial_inequality_removal,[],[f438]) ).
fof(f440,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f410]) ).
fof(f441,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(trivial_inequality_removal,[],[f440]) ).
fof(f442,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f409]) ).
fof(f443,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| leq(n0,sK35)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(trivial_inequality_removal,[],[f442]) ).
fof(f444,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f408]) ).
fof(f445,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| gt(loopcounter,n1)
| ~ sP7 ),
inference(trivial_inequality_removal,[],[f444]) ).
fof(f446,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f447,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK35)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init
| ~ sP7 ),
inference(trivial_inequality_removal,[],[f446]) ).
fof(f449,definition,
( spl40_1
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).
fof(f453,definition,
( spl40_2
<=> s_sworst7_init = pvar1402_init ),
introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).
fof(f456,plain,
( ~ spl40_1
| spl40_2 ),
inference(avatar_split_clause,[],[f425,f453,f449]) ).
fof(f458,definition,
( spl40_3
<=> s_sworst7_init = pvar1401_init ),
introduced(definition,[new_symbols(definition,[spl40_3])],[avatar_definition]) ).
fof(f461,plain,
( ~ spl40_1
| spl40_3 ),
inference(avatar_split_clause,[],[f424,f458,f449]) ).
fof(f463,definition,
( spl40_4
<=> s_sworst7_init = pvar1400_init ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f466,plain,
( ~ spl40_1
| spl40_4 ),
inference(avatar_split_clause,[],[f423,f463,f449]) ).
fof(f472,definition,
( spl40_6
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl40_6])],[avatar_definition]) ).
fof(f477,definition,
( spl40_7
<=> true ),
introduced(definition,[new_symbols(definition,[spl40_7])],[avatar_definition]) ).
fof(f480,plain,
( ~ spl40_7
| spl40_6 ),
inference(avatar_split_clause,[],[f435,f472,f477]) ).
fof(f482,definition,
( spl40_8
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition]) ).
fof(f486,definition,
( spl40_9
<=> leq(sK38,n2) ),
introduced(definition,[new_symbols(definition,[spl40_9])],[avatar_definition]) ).
fof(f488,plain,
( leq(sK38,n2)
| ~ spl40_9 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f489,plain,
( ~ spl40_8
| spl40_9 ),
inference(avatar_split_clause,[],[f330,f486,f482]) ).
fof(f491,definition,
( spl40_10
<=> leq(n0,sK38) ),
introduced(definition,[new_symbols(definition,[spl40_10])],[avatar_definition]) ).
fof(f493,plain,
( leq(n0,sK38)
| ~ spl40_10 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f494,plain,
( ~ spl40_8
| spl40_10 ),
inference(avatar_split_clause,[],[f331,f491,f482]) ).
fof(f496,definition,
( spl40_11
<=> leq(sK39,n3) ),
introduced(definition,[new_symbols(definition,[spl40_11])],[avatar_definition]) ).
fof(f498,plain,
( leq(sK39,n3)
| ~ spl40_11 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,plain,
( ~ spl40_8
| spl40_11 ),
inference(avatar_split_clause,[],[f332,f496,f482]) ).
fof(f501,definition,
( spl40_12
<=> leq(n0,sK39) ),
introduced(definition,[new_symbols(definition,[spl40_12])],[avatar_definition]) ).
fof(f503,plain,
( leq(n0,sK39)
| ~ spl40_12 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f504,plain,
( ~ spl40_8
| spl40_12 ),
inference(avatar_split_clause,[],[f333,f501,f482]) ).
fof(f506,definition,
( spl40_13
<=> s_sworst7_init = a_select3(simplex7_init,sK39,sK38) ),
introduced(definition,[new_symbols(definition,[spl40_13])],[avatar_definition]) ).
fof(f508,plain,
( s_sworst7_init != a_select3(simplex7_init,sK39,sK38)
| spl40_13 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,plain,
( ~ spl40_8
| ~ spl40_13 ),
inference(avatar_split_clause,[],[f415,f506,f482]) ).
fof(f511,definition,
( spl40_14
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl40_14])],[avatar_definition]) ).
fof(f515,definition,
( spl40_15
<=> leq(sK37,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl40_15])],[avatar_definition]) ).
fof(f517,plain,
( leq(sK37,minus(n3,n1))
| ~ spl40_15 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,plain,
( ~ spl40_14
| spl40_15 ),
inference(avatar_split_clause,[],[f327,f515,f511]) ).
fof(f520,definition,
( spl40_16
<=> leq(n0,sK37) ),
introduced(definition,[new_symbols(definition,[spl40_16])],[avatar_definition]) ).
fof(f522,plain,
( leq(n0,sK37)
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f523,plain,
( ~ spl40_14
| spl40_16 ),
inference(avatar_split_clause,[],[f328,f520,f511]) ).
fof(f525,definition,
( spl40_17
<=> s_sworst7_init = a_select2(s_try7_init,sK37) ),
introduced(definition,[new_symbols(definition,[spl40_17])],[avatar_definition]) ).
fof(f528,plain,
( ~ spl40_14
| ~ spl40_17 ),
inference(avatar_split_clause,[],[f414,f525,f511]) ).
fof(f530,definition,
( spl40_18
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl40_18])],[avatar_definition]) ).
fof(f534,definition,
( spl40_19
<=> leq(sK36,n2) ),
introduced(definition,[new_symbols(definition,[spl40_19])],[avatar_definition]) ).
fof(f537,plain,
( ~ spl40_18
| spl40_19 ),
inference(avatar_split_clause,[],[f324,f534,f530]) ).
fof(f539,definition,
( spl40_20
<=> leq(n0,sK36) ),
introduced(definition,[new_symbols(definition,[spl40_20])],[avatar_definition]) ).
fof(f541,plain,
( leq(n0,sK36)
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f542,plain,
( ~ spl40_18
| spl40_20 ),
inference(avatar_split_clause,[],[f325,f539,f530]) ).
fof(f544,definition,
( spl40_21
<=> s_sworst7_init = a_select2(s_center7_init,sK36) ),
introduced(definition,[new_symbols(definition,[spl40_21])],[avatar_definition]) ).
fof(f546,plain,
( s_sworst7_init != a_select2(s_center7_init,sK36)
| spl40_21 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f547,plain,
( ~ spl40_18
| ~ spl40_21 ),
inference(avatar_split_clause,[],[f413,f544,f530]) ).
fof(f550,definition,
( spl40_22
<=> leq(sK35,n3) ),
introduced(definition,[new_symbols(definition,[spl40_22])],[avatar_definition]) ).
fof(f552,plain,
( leq(sK35,n3)
| ~ spl40_22 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f554,definition,
( spl40_23
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[spl40_23])],[avatar_definition]) ).
fof(f558,definition,
( spl40_24
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[spl40_24])],[avatar_definition]) ).
fof(f562,definition,
( spl40_25
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[spl40_25])],[avatar_definition]) ).
fof(f566,definition,
( spl40_26
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[spl40_26])],[avatar_definition]) ).
fof(f570,definition,
( spl40_27
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[spl40_27])],[avatar_definition]) ).
fof(f574,definition,
( spl40_28
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[spl40_28])],[avatar_definition]) ).
fof(f578,definition,
( spl40_29
<=> s_sworst7_init = s_worst7_init ),
introduced(definition,[new_symbols(definition,[spl40_29])],[avatar_definition]) ).
fof(f581,plain,
( ~ spl40_6
| spl40_1
| spl40_14
| spl40_18
| spl40_22
| spl40_8
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(avatar_split_clause,[],[f437,f578,f574,f570,f566,f562,f558,f554,f482,f550,f530,f511,f449,f472]) ).
fof(f582,plain,
( ~ spl40_6
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| spl40_14
| spl40_18
| spl40_22
| spl40_8
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(avatar_split_clause,[],[f439,f578,f574,f570,f566,f562,f558,f554,f482,f550,f530,f511,f463,f458,f453,f472]) ).
fof(f584,definition,
( spl40_30
<=> leq(n0,sK35) ),
introduced(definition,[new_symbols(definition,[spl40_30])],[avatar_definition]) ).
fof(f586,plain,
( leq(n0,sK35)
| ~ spl40_30 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( ~ spl40_6
| spl40_1
| spl40_14
| spl40_18
| spl40_30
| spl40_8
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(avatar_split_clause,[],[f441,f578,f574,f570,f566,f562,f558,f554,f482,f584,f530,f511,f449,f472]) ).
fof(f588,plain,
( ~ spl40_6
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| spl40_14
| spl40_18
| spl40_30
| spl40_8
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(avatar_split_clause,[],[f443,f578,f574,f570,f566,f562,f558,f554,f482,f584,f530,f511,f463,f458,f453,f472]) ).
fof(f590,definition,
( spl40_31
<=> s_sworst7_init = a_select2(s_values7_init,sK35) ),
introduced(definition,[new_symbols(definition,[spl40_31])],[avatar_definition]) ).
fof(f593,plain,
( ~ spl40_6
| spl40_1
| spl40_14
| spl40_18
| ~ spl40_31
| spl40_8
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(avatar_split_clause,[],[f445,f578,f574,f570,f566,f562,f558,f554,f482,f590,f530,f511,f449,f472]) ).
fof(f594,plain,
( ~ spl40_6
| ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| spl40_14
| spl40_18
| ~ spl40_31
| spl40_8
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(avatar_split_clause,[],[f447,f578,f574,f570,f566,f562,f558,f554,f482,f590,f530,f511,f463,f458,f453,f472]) ).
fof(f595,plain,
spl40_7,
inference(avatar_split_clause,[],[f315,f477]) ).
fof(f596,plain,
spl40_23,
inference(avatar_split_clause,[],[f342,f554]) ).
fof(f597,plain,
spl40_24,
inference(avatar_split_clause,[],[f343,f558]) ).
fof(f598,plain,
spl40_25,
inference(avatar_split_clause,[],[f344,f562]) ).
fof(f599,plain,
spl40_26,
inference(avatar_split_clause,[],[f345,f566]) ).
fof(f600,plain,
spl40_27,
inference(avatar_split_clause,[],[f346,f570]) ).
fof(f601,plain,
spl40_28,
inference(avatar_split_clause,[],[f347,f574]) ).
fof(f602,plain,
spl40_29,
inference(avatar_split_clause,[],[f418,f578]) ).
fof(f718,plain,
( ! [X0] :
( s_sworst7_init = a_select3(simplex7_init,sK39,X0)
| ~ leq(sK39,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
| ~ spl40_12 ),
inference(resolution,[],[f503,f419]) ).
fof(f731,plain,
( ! [X0] :
( ~ leq(n0,X0)
| s_sworst7_init = a_select3(simplex7_init,sK39,X0)
| ~ leq(X0,n2) )
| ~ spl40_11
| ~ spl40_12 ),
inference(forward_subsumption_resolution,[],[f718,f498]) ).
fof(f920,plain,
( s_sworst7_init = a_select3(simplex7_init,sK39,sK38)
| ~ leq(sK38,n2)
| ~ spl40_10
| ~ spl40_11
| ~ spl40_12 ),
inference(resolution,[],[f731,f493]) ).
fof(f922,plain,
( ~ leq(sK38,n2)
| ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| spl40_13 ),
inference(forward_subsumption_resolution,[],[f920,f508]) ).
fof(f925,plain,
( $false
| ~ spl40_9
| ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| spl40_13 ),
inference(forward_subsumption_resolution,[],[f922,f488]) ).
fof(f926,plain,
( ~ spl40_9
| ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| spl40_13 ),
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f1007,plain,
( ~ leq(n0,sK37)
| s_sworst7_init = a_select2(s_try7_init,sK37)
| ~ spl40_15 ),
inference(resolution,[],[f517,f422]) ).
fof(f1008,plain,
( s_sworst7_init = a_select2(s_try7_init,sK37)
| ~ spl40_15
| ~ spl40_16 ),
inference(forward_subsumption_resolution,[],[f1007,f522]) ).
fof(f1011,plain,
( spl40_17
| ~ spl40_15
| ~ spl40_16 ),
inference(avatar_split_clause,[],[f1008,f520,f515,f525]) ).
fof(f1014,plain,
( s_sworst7_init = a_select2(s_center7_init,sK36)
| ~ leq(sK36,n2)
| ~ spl40_20 ),
inference(resolution,[],[f541,f421]) ).
fof(f1025,plain,
( ~ leq(sK36,n2)
| ~ spl40_20
| spl40_21 ),
inference(forward_subsumption_resolution,[],[f1014,f546]) ).
fof(f1066,plain,
( ~ spl40_19
| ~ spl40_20
| spl40_21 ),
inference(avatar_split_clause,[],[f1025,f544,f539,f534]) ).
fof(f1069,plain,
( s_sworst7_init = a_select2(s_values7_init,sK35)
| ~ leq(sK35,n3)
| ~ spl40_30 ),
inference(resolution,[],[f586,f420]) ).
fof(f1110,plain,
( s_sworst7_init = a_select2(s_values7_init,sK35)
| ~ spl40_22
| ~ spl40_30 ),
inference(forward_subsumption_resolution,[],[f1069,f552]) ).
fof(f1112,plain,
( spl40_31
| ~ spl40_22
| ~ spl40_30 ),
inference(avatar_split_clause,[],[f1110,f584,f550,f590]) ).
cnf(s1,plain,
( ~ spl40_1
| spl40_2 ),
inference(sat_conversion,[],[f456]) ).
cnf(s2,plain,
( ~ spl40_1
| spl40_3 ),
inference(sat_conversion,[],[f461]) ).
cnf(s3,plain,
( ~ spl40_1
| spl40_4 ),
inference(sat_conversion,[],[f466]) ).
cnf(s5,plain,
( spl40_6
| ~ spl40_7 ),
inference(sat_conversion,[],[f480]) ).
cnf(s6,plain,
( ~ spl40_8
| spl40_9 ),
inference(sat_conversion,[],[f489]) ).
cnf(s7,plain,
( ~ spl40_8
| spl40_10 ),
inference(sat_conversion,[],[f494]) ).
cnf(s8,plain,
( ~ spl40_8
| spl40_11 ),
inference(sat_conversion,[],[f499]) ).
cnf(s9,plain,
( ~ spl40_8
| spl40_12 ),
inference(sat_conversion,[],[f504]) ).
cnf(s10,plain,
( ~ spl40_8
| ~ spl40_13 ),
inference(sat_conversion,[],[f509]) ).
cnf(s11,plain,
( ~ spl40_14
| spl40_15 ),
inference(sat_conversion,[],[f518]) ).
cnf(s12,plain,
( ~ spl40_14
| spl40_16 ),
inference(sat_conversion,[],[f523]) ).
cnf(s13,plain,
( ~ spl40_14
| ~ spl40_17 ),
inference(sat_conversion,[],[f528]) ).
cnf(s14,plain,
( ~ spl40_18
| spl40_19 ),
inference(sat_conversion,[],[f537]) ).
cnf(s15,plain,
( ~ spl40_18
| spl40_20 ),
inference(sat_conversion,[],[f542]) ).
cnf(s16,plain,
( ~ spl40_18
| ~ spl40_21 ),
inference(sat_conversion,[],[f547]) ).
cnf(s18,plain,
( spl40_1
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| spl40_22
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(sat_conversion,[],[f581]) ).
cnf(s19,plain,
( ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| spl40_22
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29 ),
inference(sat_conversion,[],[f582]) ).
cnf(s20,plain,
( spl40_1
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29
| spl40_30 ),
inference(sat_conversion,[],[f587]) ).
cnf(s21,plain,
( ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29
| spl40_30 ),
inference(sat_conversion,[],[f588]) ).
cnf(s22,plain,
( spl40_1
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29
| ~ spl40_31 ),
inference(sat_conversion,[],[f593]) ).
cnf(s23,plain,
( ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| ~ spl40_23
| ~ spl40_24
| ~ spl40_25
| ~ spl40_26
| ~ spl40_27
| ~ spl40_28
| ~ spl40_29
| ~ spl40_31 ),
inference(sat_conversion,[],[f594]) ).
cnf(s24,plain,
spl40_7,
inference(sat_conversion,[],[f595]) ).
cnf(s25,plain,
spl40_23,
inference(sat_conversion,[],[f596]) ).
cnf(s26,plain,
spl40_24,
inference(sat_conversion,[],[f597]) ).
cnf(s27,plain,
spl40_25,
inference(sat_conversion,[],[f598]) ).
cnf(s28,plain,
spl40_26,
inference(sat_conversion,[],[f599]) ).
cnf(s29,plain,
spl40_27,
inference(sat_conversion,[],[f600]) ).
cnf(s30,plain,
spl40_28,
inference(sat_conversion,[],[f601]) ).
cnf(s31,plain,
spl40_29,
inference(sat_conversion,[],[f602]) ).
cnf(s58,plain,
( ~ spl40_9
| ~ spl40_10
| ~ spl40_11
| ~ spl40_12
| spl40_13 ),
inference(sat_conversion,[],[f926]) ).
cnf(s70,plain,
( ~ spl40_15
| ~ spl40_16
| spl40_17 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s79,plain,
( ~ spl40_19
| ~ spl40_20
| spl40_21 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s86,plain,
( ~ spl40_22
| ~ spl40_30
| spl40_31 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s96,plain,
( ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| ~ spl40_31 ),
inference(rat,[],[s23,s31,s30,s29,s28,s27,s26,s25]) ).
cnf(s97,plain,
( spl40_1
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| ~ spl40_31 ),
inference(rat,[],[s22,s31,s30,s29,s28,s27,s26,s25]) ).
cnf(s98,plain,
( ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| spl40_30 ),
inference(rat,[],[s21,s31,s30,s29,s28,s27,s26,s25]) ).
cnf(s99,plain,
( spl40_1
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| spl40_30 ),
inference(rat,[],[s20,s31,s30,s29,s28,s27,s26,s25]) ).
cnf(s100,plain,
( ~ spl40_2
| ~ spl40_3
| ~ spl40_4
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| spl40_22 ),
inference(rat,[],[s19,s31,s30,s29,s28,s27,s26,s25]) ).
cnf(s101,plain,
( spl40_1
| ~ spl40_6
| spl40_8
| spl40_14
| spl40_18
| spl40_22 ),
inference(rat,[],[s18,s31,s30,s29,s28,s27,s26,s25]) ).
cnf(s102,plain,
spl40_6,
inference(rat,[],[s5,s24]) ).
cnf(s104,plain,
( spl40_18
| spl40_14
| spl40_8
| spl40_1 ),
inference(rat,[],[s86,s97,s99,s101,s102]) ).
cnf(s105,plain,
~ spl40_18,
inference(rat,[],[s79,s14,s15,s16]) ).
cnf(s106,plain,
~ spl40_14,
inference(rat,[],[s70,s11,s12,s13]) ).
cnf(s107,plain,
~ spl40_8,
inference(rat,[],[s58,s6,s7,s8,s9,s10]) ).
cnf(s108,plain,
spl40_1,
inference(rat,[],[s104,s106,s105,s107]) ).
cnf(s109,plain,
spl40_4,
inference(rat,[],[s3,s108]) ).
cnf(s110,plain,
spl40_3,
inference(rat,[],[s2,s108]) ).
cnf(s111,plain,
spl40_2,
inference(rat,[],[s1,s108]) ).
cnf(s112,plain,
~ spl40_31,
inference(rat,[],[s96,s109,s105,s106,s110,s102,s107,s111]) ).
cnf(s113,plain,
spl40_30,
inference(rat,[],[s98,s109,s105,s106,s110,s102,s107,s111]) ).
cnf(s114,plain,
spl40_22,
inference(rat,[],[s100,s109,s105,s106,s110,s102,s107,s111]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s86,s112,s113,s114]) ).
fof(f1113,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV038+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:42:40 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.38/0.27 % (2282266)Will run a generic schedule for satisfiability detection.
% 0.38/0.27 % (2282272)% WARNING: option uhcvi not known.
% 0.38/0.27 % (2282272)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2785392611:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.27 % (2282273)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3380119705:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.27 % (2282271)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2819288168_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.27 % (2282274)dis+10_1_sil=32000:sp=arity:random_seed=3588316454:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.27 % (2282276)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2606555782:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.27 % (2282277)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1726508490:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.27 % (2282275)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3452843396:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.27 % (2282274) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2282266-2282274"...
% 0.38/0.27 % (2282273) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2282266-2282273"...
% 0.38/0.27 % (2282274)...printing done.
% 0.38/0.27 % (2282274)Refutation found. Thanks to Tanya!
% 0.38/0.27 % SZS status Theorem for theBenchmark
% 0.38/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.27 % (2282274)------------------------------
% 0.38/0.27 % (2282274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.27 % (2282274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.27 % (2282274)CaDiCaL version: 2.1.3
% 0.38/0.27 % (2282274)Termination reason: Refutation
% 0.38/0.27 % (2282274)Time elapsed: 0.020 s
% 0.38/0.27 % (2282274)Peak memory usage: 13 MB
% 0.38/0.27 % (2282274)Instructions burned: 32 (million)
% 0.38/0.27 % (2282266)Success in time 0.06 s
% 0.38/0.27 % Vampire exiting
%------------------------------------------------------------------------------