%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV028+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:07:57 PM UTC 2026
% Result : Theorem 0.84s 0.94s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 4
% Syntax : Number of formulae : 247 ( 23 unt; 3 def)
% Number of atoms : 1978 ( 620 equ)
% Maximal formula atoms : 62 ( 8 avg)
% Number of connectives : 2841 (1110 ~;1441 |; 264 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-3 aty)
% Number of variables : 84 ( 60 !; 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/sandbox2/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(f94,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(f95,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,[],[f94]) ).
fof(f118,definition,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f119,definition,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f120,definition,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f121,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)
| sP0
| ? [X7] :
( init != a_select2(s_values7_init,X7)
& leq(n0,X7)
& leq(X7,n3) )
| sP2
| sP1
| ( ( 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,[],[f95,f120,f119,f118]) ).
fof(f122,plain,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f120]) ).
fof(f123,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP2 ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
( ( init != a_select2(s_center7_init,sK3)
& leq(n0,sK3)
& leq(sK3,n2) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f123]) ).
fof(f125,plain,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f119]) ).
fof(f126,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(n0,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP1 ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
( ( init != a_select2(s_try7_init,sK4)
& leq(n0,sK4)
& leq(sK4,minus(n3,n1)) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f126]) ).
fof(f128,plain,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f118]) ).
fof(f129,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(n0,X1)
& leq(X1,n3) )
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP0 ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
( ( init != a_select3(simplex7_init,sK6,sK5)
& leq(n0,sK6)
& leq(sK6,n3)
& leq(n0,sK5)
& leq(sK5,n2) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f129]) ).
fof(f131,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)
| sP0
| ? [X0] :
( init != a_select2(s_values7_init,X0)
& leq(n0,X0)
& leq(X0,n3) )
| sP2
| sP1
| ( ( 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,[],[f121]) ).
fof(f132,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)
| sP0
| ( init != a_select2(s_values7_init,sK7)
& leq(n0,sK7)
& leq(sK7,n3) )
| sP2
| sP1
| ( ( 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,[sK7]),skolemize(X0,sK7)],[f131]) ).
fof(f136,plain,
( leq(sK3,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f137,plain,
( leq(n0,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f138,plain,
( init != a_select2(s_center7_init,sK3)
| ~ sP2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f139,plain,
( leq(sK4,minus(n3,n1))
| ~ sP1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f140,plain,
( leq(n0,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f141,plain,
( init != a_select2(s_try7_init,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f142,plain,
( leq(sK5,n2)
| ~ sP0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f143,plain,
( leq(n0,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f144,plain,
( leq(sK6,n3)
| ~ sP0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f145,plain,
( leq(n0,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f146,plain,
( init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f147,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f148,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f149,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f150,plain,
! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f151,plain,
! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f152,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f153,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,[],[f132]) ).
fof(f154,plain,
leq(pv1376,n3),
inference(cnf_transformation,[],[f132]) ).
fof(f156,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f132]) ).
fof(f157,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f132]) ).
fof(f158,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f132]) ).
fof(f159,plain,
leq(n0,pv1376),
inference(cnf_transformation,[],[f132]) ).
fof(f161,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f132]) ).
fof(f162,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f132]) ).
fof(f163,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f132]) ).
fof(f164,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f132]) ).
fof(f165,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f132]) ).
fof(f166,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f132]) ).
fof(f168,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f169,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f132]) ).
fof(f170,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f171,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f132]) ).
fof(f172,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)
| sP0
| init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f173,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)
| sP0
| init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f132]) ).
fof(f234,plain,
( s_best7_init != a_select2(s_center7_init,sK3)
| ~ sP2 ),
inference(definition_unfolding,[],[f138,f166]) ).
fof(f235,plain,
( s_best7_init != a_select2(s_try7_init,sK4)
| ~ sP1 ),
inference(definition_unfolding,[],[f141,f166]) ).
fof(f236,plain,
( s_best7_init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(definition_unfolding,[],[f146,f166]) ).
fof(f237,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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f173,f166,f166,f166,f166,f166,f166,f166,f166,f166]) ).
fof(f238,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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f172,f166,f166,f166,f166,f166,f166]) ).
fof(f239,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f171,f166,f166,f166,f166,f166,f166,f166,f166]) ).
fof(f240,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f170,f166,f166,f166,f166,f166]) ).
fof(f241,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f169,f166,f166,f166,f166,f166,f166,f166,f166]) ).
fof(f242,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f168,f166,f166,f166,f166,f166]) ).
fof(f244,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f165,f166]) ).
fof(f245,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f164,f166]) ).
fof(f246,plain,
! [X2,X1] :
( s_best7_init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(definition_unfolding,[],[f153,f166]) ).
fof(f247,plain,
! [X3] :
( s_best7_init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) ),
inference(definition_unfolding,[],[f152,f166]) ).
fof(f248,plain,
! [X4] :
( s_best7_init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) ),
inference(definition_unfolding,[],[f151,f166]) ).
fof(f249,plain,
! [X5] :
( s_best7_init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) ),
inference(definition_unfolding,[],[f150,f166]) ).
fof(f250,plain,
( s_best7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f149,f166]) ).
fof(f251,plain,
( s_best7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f148,f166]) ).
fof(f252,plain,
( s_best7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f147,f166]) ).
fof(f257,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f258,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f257]) ).
fof(f259,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f260,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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f259]) ).
fof(f261,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f262,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f263,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f264,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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f263]) ).
fof(f265,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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f238]) ).
fof(f266,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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f265]) ).
fof(f267,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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f268,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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f267]) ).
fof(f269,plain,
s_sworst7_init = s_worst7_init,
inference(forward_demodulation,[],[f245,f244]) ).
fof(f270,plain,
( s_sworst7_init != a_select2(s_center7_init,sK3)
| ~ sP2 ),
inference(forward_demodulation,[],[f234,f244]) ).
fof(f271,plain,
( s_sworst7_init != a_select2(s_try7_init,sK4)
| ~ sP1 ),
inference(forward_demodulation,[],[f235,f244]) ).
fof(f272,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1400_init ),
inference(forward_demodulation,[],[f250,f244]) ).
fof(f273,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1401_init ),
inference(forward_demodulation,[],[f251,f244]) ).
fof(f274,plain,
( ~ gt(loopcounter,n1)
| s_sworst7_init = pvar1402_init ),
inference(forward_demodulation,[],[f252,f244]) ).
fof(f275,plain,
( s_sworst7_init != a_select3(simplex7_init,sK6,sK5)
| ~ sP0 ),
inference(forward_demodulation,[],[f236,f244]) ).
fof(f276,plain,
! [X3] :
( s_sworst7_init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) ),
inference(forward_demodulation,[],[f247,f244]) ).
fof(f277,plain,
! [X4] :
( s_sworst7_init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) ),
inference(forward_demodulation,[],[f248,f244]) ).
fof(f278,plain,
( s_sworst7_init != s_sworst7_init
| ~ sP2
| ~ leq(n0,sK3)
| ~ leq(sK3,n2) ),
inference(superposition,[],[f270,f277]) ).
fof(f279,plain,
( ~ leq(sK3,n2)
| ~ leq(n0,sK3)
| ~ sP2 ),
inference(trivial_inequality_removal,[],[f278]) ).
fof(f280,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| s_sworst7_init = a_select2(s_try7_init,X5) ),
inference(forward_demodulation,[],[f249,f244]) ).
fof(f281,plain,
! [X2,X1] :
( s_sworst7_init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(forward_demodulation,[],[f246,f244]) ).
fof(f282,plain,
( s_sworst7_init != s_sworst7_init
| ~ sP0
| ~ leq(n0,sK6)
| ~ leq(sK6,n3)
| ~ leq(n0,sK5)
| ~ leq(sK5,n2) ),
inference(superposition,[],[f275,f281]) ).
fof(f283,plain,
( ~ leq(sK6,n3)
| ~ leq(n0,sK6)
| ~ sP0
| ~ leq(n0,sK5)
| ~ leq(sK5,n2) ),
inference(trivial_inequality_removal,[],[f282]) ).
fof(f285,plain,
( 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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f258,f244]) ).
fof(f286,plain,
( s_best7_init != s_worst7_init
| ~ 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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f285,f163]) ).
fof(f287,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f286,f162]) ).
fof(f288,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f287,f161]) ).
fof(f289,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f288,f159]) ).
fof(f290,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f289,f158]) ).
fof(f291,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f290,f157]) ).
fof(f292,plain,
( s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f291,f156]) ).
fof(f293,plain,
( s_best7_init != s_worst7_init
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f292,f154]) ).
fof(f294,plain,
( s_best7_init != s_sworst7_init
| sP0
| leq(sK7,n3)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_demodulation,[],[f293,f269]) ).
fof(f295,plain,
( leq(sK7,n3)
| sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f294,f244]) ).
fof(f296,plain,
( 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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f262,f244]) ).
fof(f297,plain,
( s_best7_init != s_worst7_init
| ~ 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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f296,f163]) ).
fof(f298,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f297,f162]) ).
fof(f299,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f298,f161]) ).
fof(f300,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f299,f159]) ).
fof(f301,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f300,f158]) ).
fof(f302,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f301,f157]) ).
fof(f303,plain,
( s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f302,f156]) ).
fof(f304,plain,
( s_best7_init != s_worst7_init
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f303,f154]) ).
fof(f305,plain,
( s_best7_init != s_sworst7_init
| sP0
| leq(n0,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_demodulation,[],[f304,f269]) ).
fof(f306,plain,
( leq(n0,sK7)
| sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f305,f244]) ).
fof(f307,plain,
( ~ sP2
| ~ leq(n0,sK3)
| ~ sP2 ),
inference(resolution,[],[f136,f279]) ).
fof(f308,plain,
( ~ sP2
| ~ leq(n0,sK3) ),
inference(duplicate_literal_removal,[],[f307]) ).
fof(f309,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f308,f137]) ).
fof(f310,plain,
( ~ sP0
| ~ leq(n0,sK6)
| ~ sP0
| ~ leq(n0,sK5)
| ~ leq(sK5,n2) ),
inference(resolution,[],[f144,f283]) ).
fof(f311,plain,
( ~ sP0
| ~ leq(n0,sK6)
| ~ leq(n0,sK5)
| ~ leq(sK5,n2) ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f312,plain,
( ~ sP0
| ~ leq(n0,sK6)
| ~ leq(sK5,n2) ),
inference(forward_subsumption_resolution,[],[f311,f143]) ).
fof(f313,plain,
( ~ sP0
| ~ leq(n0,sK6) ),
inference(forward_subsumption_resolution,[],[f312,f142]) ).
fof(f314,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f313,f145]) ).
fof(f317,plain,
( 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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f266,f244]) ).
fof(f318,plain,
( s_best7_init != s_worst7_init
| ~ 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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f317,f163]) ).
fof(f319,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f318,f162]) ).
fof(f320,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f319,f161]) ).
fof(f321,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f320,f159]) ).
fof(f322,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f321,f158]) ).
fof(f323,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f322,f157]) ).
fof(f324,plain,
( s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f323,f156]) ).
fof(f325,plain,
( s_best7_init != s_worst7_init
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f324,f154]) ).
fof(f326,plain,
( s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f325,f314]) ).
fof(f327,plain,
( s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_values7_init,sK7)
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f326,f309]) ).
fof(f328,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != a_select2(s_values7_init,sK7)
| sP1
| gt(loopcounter,n1) ),
inference(forward_demodulation,[],[f327,f269]) ).
fof(f329,plain,
( s_best7_init != a_select2(s_values7_init,sK7)
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f328,f244]) ).
fof(f330,plain,
( s_sworst7_init != a_select2(s_values7_init,sK7)
| sP1
| gt(loopcounter,n1) ),
inference(forward_demodulation,[],[f329,f244]) ).
fof(f331,plain,
( s_sworst7_init != s_sworst7_init
| sP1
| gt(loopcounter,n1)
| ~ leq(n0,sK7)
| ~ leq(sK7,n3) ),
inference(superposition,[],[f330,f276]) ).
fof(f332,plain,
( gt(loopcounter,n1)
| sP1
| ~ leq(n0,sK7)
| ~ leq(sK7,n3) ),
inference(trivial_inequality_removal,[],[f331]) ).
fof(f333,plain,
( 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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f260,f244]) ).
fof(f334,plain,
( s_best7_init != s_worst7_init
| ~ 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)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f333,f163]) ).
fof(f335,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f334,f162]) ).
fof(f336,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f335,f161]) ).
fof(f337,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f336,f159]) ).
fof(f338,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f337,f158]) ).
fof(f339,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f338,f157]) ).
fof(f340,plain,
( s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f339,f156]) ).
fof(f341,plain,
( s_best7_init != s_worst7_init
| sP0
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f340,f154]) ).
fof(f342,plain,
( s_best7_init != s_worst7_init
| leq(sK7,n3)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f341,f314]) ).
fof(f343,plain,
( s_best7_init != s_worst7_init
| leq(sK7,n3)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f342,f309]) ).
fof(f344,plain,
( s_best7_init != s_sworst7_init
| leq(sK7,n3)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f343,f269]) ).
fof(f345,plain,
( leq(sK7,n3)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f344,f244]) ).
fof(f346,plain,
( s_sworst7_init != pvar1400_init
| leq(sK7,n3)
| sP1
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f345,f244]) ).
fof(f347,plain,
( s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| leq(sK7,n3)
| sP1
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f346,f244]) ).
fof(f348,plain,
( s_sworst7_init != pvar1402_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| leq(sK7,n3)
| sP1 ),
inference(forward_demodulation,[],[f347,f244]) ).
fof(f349,plain,
( ~ leq(sK7,n3)
| ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1402_init ),
inference(resolution,[],[f332,f274]) ).
fof(f350,plain,
( ~ leq(sK7,n3)
| ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1401_init ),
inference(resolution,[],[f332,f273]) ).
fof(f351,plain,
( sP1
| ~ leq(n0,sK7)
| ~ leq(sK7,n3)
| s_sworst7_init = pvar1400_init ),
inference(resolution,[],[f332,f272]) ).
fof(f352,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1402_init
| sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(resolution,[],[f349,f295]) ).
fof(f353,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1402_init
| sP0
| sP2
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f352]) ).
fof(f354,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1402_init
| sP0
| sP2 ),
inference(forward_subsumption_resolution,[],[f353,f274]) ).
fof(f355,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1402_init
| sP2 ),
inference(forward_subsumption_resolution,[],[f354,f314]) ).
fof(f356,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1402_init ),
inference(forward_subsumption_resolution,[],[f355,f309]) ).
fof(f357,plain,
( sP1
| s_sworst7_init = pvar1402_init
| sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(resolution,[],[f356,f306]) ).
fof(f358,plain,
( sP1
| s_sworst7_init = pvar1402_init
| sP0
| sP2
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f357]) ).
fof(f359,plain,
( sP1
| s_sworst7_init = pvar1402_init
| sP0
| sP2 ),
inference(forward_subsumption_resolution,[],[f358,f274]) ).
fof(f360,plain,
( sP1
| s_sworst7_init = pvar1402_init
| sP2 ),
inference(forward_subsumption_resolution,[],[f359,f314]) ).
fof(f361,plain,
( s_sworst7_init = pvar1402_init
| sP1 ),
inference(forward_subsumption_resolution,[],[f360,f309]) ).
fof(f362,plain,
( 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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f264,f244]) ).
fof(f363,plain,
( s_best7_init != s_worst7_init
| ~ 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)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f362,f163]) ).
fof(f364,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f363,f162]) ).
fof(f365,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f364,f161]) ).
fof(f366,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f365,f159]) ).
fof(f367,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f366,f158]) ).
fof(f368,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f367,f157]) ).
fof(f369,plain,
( s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f368,f156]) ).
fof(f370,plain,
( s_best7_init != s_worst7_init
| sP0
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f369,f154]) ).
fof(f371,plain,
( s_best7_init != s_worst7_init
| leq(n0,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f370,f314]) ).
fof(f372,plain,
( s_best7_init != s_worst7_init
| leq(n0,sK7)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f371,f309]) ).
fof(f373,plain,
( s_best7_init != s_sworst7_init
| leq(n0,sK7)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f372,f269]) ).
fof(f374,plain,
( leq(n0,sK7)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f373,f244]) ).
fof(f375,plain,
( s_sworst7_init != pvar1400_init
| leq(n0,sK7)
| sP1
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f374,f244]) ).
fof(f376,plain,
( s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| leq(n0,sK7)
| sP1
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f375,f244]) ).
fof(f377,plain,
( s_sworst7_init != pvar1402_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| leq(n0,sK7)
| sP1 ),
inference(forward_demodulation,[],[f376,f244]) ).
fof(f381,plain,
( s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| leq(n0,sK7)
| sP1 ),
inference(forward_subsumption_resolution,[],[f377,f361]) ).
fof(f384,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1401_init
| sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(resolution,[],[f350,f295]) ).
fof(f385,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1401_init
| sP0
| sP2
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f384]) ).
fof(f386,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1401_init
| sP0
| sP2 ),
inference(forward_subsumption_resolution,[],[f385,f273]) ).
fof(f387,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1401_init
| sP2 ),
inference(forward_subsumption_resolution,[],[f386,f314]) ).
fof(f388,plain,
( ~ leq(n0,sK7)
| sP1
| s_sworst7_init = pvar1401_init ),
inference(forward_subsumption_resolution,[],[f387,f309]) ).
fof(f389,plain,
( 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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f268,f244]) ).
fof(f390,plain,
( s_best7_init != s_worst7_init
| ~ 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)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f389,f163]) ).
fof(f391,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f390,f162]) ).
fof(f392,plain,
( s_best7_init != s_worst7_init
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f391,f161]) ).
fof(f393,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f392,f159]) ).
fof(f394,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f393,f158]) ).
fof(f395,plain,
( s_best7_init != s_worst7_init
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f394,f157]) ).
fof(f396,plain,
( s_best7_init != s_worst7_init
| ~ leq(pv1376,n3)
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f395,f156]) ).
fof(f397,plain,
( s_best7_init != s_worst7_init
| sP0
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f396,f154]) ).
fof(f398,plain,
( s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_values7_init,sK7)
| sP2
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f397,f314]) ).
fof(f399,plain,
( s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_values7_init,sK7)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f398,f309]) ).
fof(f400,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != a_select2(s_values7_init,sK7)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f399,f269]) ).
fof(f401,plain,
( s_best7_init != a_select2(s_values7_init,sK7)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_subsumption_resolution,[],[f400,f244]) ).
fof(f402,plain,
( s_sworst7_init != a_select2(s_values7_init,sK7)
| sP1
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f401,f244]) ).
fof(f403,plain,
( s_sworst7_init != pvar1400_init
| s_sworst7_init != a_select2(s_values7_init,sK7)
| sP1
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f402,f244]) ).
fof(f404,plain,
( s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| s_sworst7_init != a_select2(s_values7_init,sK7)
| sP1
| s_best7_init != pvar1402_init ),
inference(forward_demodulation,[],[f403,f244]) ).
fof(f405,plain,
( s_sworst7_init != pvar1402_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1400_init
| s_sworst7_init != a_select2(s_values7_init,sK7)
| sP1 ),
inference(forward_demodulation,[],[f404,f244]) ).
fof(f406,plain,
( s_sworst7_init != a_select2(s_values7_init,sK7)
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| sP1 ),
inference(forward_subsumption_resolution,[],[f405,f361]) ).
fof(f407,plain,
( sP1
| s_sworst7_init = pvar1401_init
| sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(resolution,[],[f388,f306]) ).
fof(f408,plain,
( sP1
| s_sworst7_init = pvar1401_init
| sP0
| sP2
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f409,plain,
( sP1
| s_sworst7_init = pvar1401_init
| sP0
| sP2 ),
inference(forward_subsumption_resolution,[],[f408,f273]) ).
fof(f410,plain,
( sP1
| s_sworst7_init = pvar1401_init
| sP2 ),
inference(forward_subsumption_resolution,[],[f409,f314]) ).
fof(f411,plain,
( s_sworst7_init = pvar1401_init
| sP1 ),
inference(forward_subsumption_resolution,[],[f410,f309]) ).
fof(f412,plain,
( s_sworst7_init != s_sworst7_init
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| sP1
| ~ leq(n0,sK7)
| ~ leq(sK7,n3) ),
inference(superposition,[],[f406,f276]) ).
fof(f413,plain,
( s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| sP1
| ~ leq(n0,sK7)
| ~ leq(sK7,n3) ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f414,plain,
( s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| sP1
| ~ leq(sK7,n3) ),
inference(forward_subsumption_resolution,[],[f413,f381]) ).
fof(f417,plain,
( pvar1401_init = pvar1402_init
| sP1
| sP1 ),
inference(superposition,[],[f361,f411]) ).
fof(f421,plain,
( pvar1401_init = pvar1402_init
| sP1 ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f427,plain,
( s_sworst7_init != pvar1400_init
| sP1
| ~ leq(sK7,n3) ),
inference(forward_subsumption_resolution,[],[f414,f411]) ).
fof(f428,plain,
( ~ sP1
| ~ leq(n0,sK4)
| s_sworst7_init = a_select2(s_try7_init,sK4) ),
inference(resolution,[],[f139,f280]) ).
fof(f429,plain,
( ~ sP1
| s_sworst7_init = a_select2(s_try7_init,sK4) ),
inference(forward_subsumption_resolution,[],[f428,f140]) ).
fof(f430,plain,
~ sP1,
inference(forward_subsumption_resolution,[],[f429,f271]) ).
fof(f438,plain,
( s_sworst7_init != pvar1400_init
| ~ leq(sK7,n3) ),
inference(forward_subsumption_resolution,[],[f427,f430]) ).
fof(f439,plain,
( pvar1400_init != pvar1401_init
| ~ leq(sK7,n3)
| sP1 ),
inference(superposition,[],[f438,f411]) ).
fof(f442,plain,
( pvar1400_init != pvar1401_init
| ~ leq(sK7,n3) ),
inference(forward_subsumption_resolution,[],[f439,f430]) ).
fof(f449,plain,
( ~ leq(n0,sK7)
| ~ leq(sK7,n3)
| s_sworst7_init = pvar1400_init ),
inference(forward_subsumption_resolution,[],[f351,f430]) ).
fof(f450,plain,
( ~ leq(sK7,n3)
| ~ leq(n0,sK7) ),
inference(forward_subsumption_resolution,[],[f449,f438]) ).
fof(f455,plain,
( ~ leq(n0,sK7)
| sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(resolution,[],[f450,f295]) ).
fof(f457,plain,
( sP0
| sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f455,f306]) ).
fof(f458,plain,
( sP2
| sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f457,f314]) ).
fof(f459,plain,
( sP1
| gt(loopcounter,n1) ),
inference(forward_subsumption_resolution,[],[f458,f309]) ).
fof(f460,plain,
gt(loopcounter,n1),
inference(forward_subsumption_resolution,[],[f459,f430]) ).
fof(f462,plain,
s_sworst7_init = pvar1401_init,
inference(resolution,[],[f460,f273]) ).
fof(f463,plain,
s_sworst7_init = pvar1400_init,
inference(resolution,[],[f460,f272]) ).
fof(f490,plain,
( pvar1401_init != pvar1402_init
| pvar1401_init != pvar1401_init
| pvar1400_init != pvar1401_init
| leq(sK7,n3)
| sP1 ),
inference(superposition,[],[f348,f462]) ).
fof(f496,plain,
( pvar1401_init != pvar1402_init
| pvar1400_init != pvar1401_init
| leq(sK7,n3)
| sP1 ),
inference(trivial_inequality_removal,[],[f490]) ).
fof(f497,plain,
( pvar1401_init != pvar1402_init
| pvar1400_init != pvar1401_init
| sP1 ),
inference(forward_subsumption_resolution,[],[f496,f442]) ).
fof(f498,plain,
( pvar1400_init != pvar1401_init
| sP1 ),
inference(forward_subsumption_resolution,[],[f497,f421]) ).
fof(f499,plain,
pvar1400_init != pvar1401_init,
inference(forward_subsumption_resolution,[],[f498,f430]) ).
fof(f500,plain,
pvar1400_init = pvar1401_init,
inference(superposition,[],[f463,f462]) ).
fof(f546,plain,
$false,
inference(forward_subsumption_resolution,[],[f500,f499]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:42:40 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/0.94 % (3852109)Detected formulas, will run a generic FOF schedule.
% 0.84/0.94 % (3852118)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=172833793:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.84/0.94 % (3852118)First to succeed.
% 0.84/0.94 % (3852118)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3852109"
% 0.84/0.94 % (3852115)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3949354717:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.84/0.94 % (3852114)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2934259698:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.84/0.94 % (3852116)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=360967532:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.84/0.94 % (3852117)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=801072288:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.84/0.94 % (3852120)dis-21_1_sil=8000:lcm=predicate:random_seed=4103174915:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.84/0.94 % (3852119)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3308177569:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.84/0.94 % (3852120)Also succeeded, but the first one will report.
% 0.84/0.94 % (3852117)Instruction limit reached!
% 0.84/0.94 % (3852117)------------------------------
% 0.84/0.94 % (3852117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.84/0.94 % (3852117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.94 % (3852117)CaDiCaL version: 2.1.3
% 0.84/0.94 % (3852117)Termination reason: Instruction limit
% 0.84/0.94 % (3852117)Termination phase: Saturation
% 0.84/0.94 % (3852117)Time elapsed: 0.061 s
% 0.84/0.94 % (3852117)Peak memory usage: 89 MB
% 0.84/0.94 % (3852117)Instructions burned: 109 (million)
% 0.84/0.94 % (3852119)Instruction limit reached!
% 0.84/0.94 % (3852119)------------------------------
% 0.84/0.94 % (3852119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.84/0.94 % (3852119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.94 % (3852119)CaDiCaL version: 2.1.3
% 0.84/0.94 % (3852119)Termination reason: Instruction limit
% 0.84/0.94 % (3852119)Termination phase: Saturation
% 0.84/0.94 % (3852119)Time elapsed: 0.094 s
% 0.84/0.94 % (3852119)Peak memory usage: 90 MB
% 0.84/0.94 % (3852119)Instructions burned: 139 (million)
% 0.84/0.94 % (3852118)Refutation found. Thanks to Tanya!
% 0.84/0.94 % SZS status Theorem for theBenchmark
% 0.84/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/1.13 % (3852118)------------------------------
% 2.49/1.13 % (3852118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.13 % (3852118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.13 % (3852118)CaDiCaL version: 2.1.3
% 2.49/1.13 % (3852118)Termination reason: Refutation
% 2.49/1.13 % (3852118)Time elapsed: 0.008 s
% 2.49/1.13 % (3852118)Peak memory usage: 88 MB
% 2.49/1.13 % (3852118)Instructions burned: 24 (million)
% 2.49/1.13 % (3852118)------------------------------
% 2.49/1.13 % (3852118)------------------------------
% 2.49/1.13 % (3852109)Success in time 0.274 s
% 2.49/1.13 % Vampire exiting
%------------------------------------------------------------------------------