%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV034+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:20:02 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 153 ( 19 unt; 9 def)
% Number of atoms : 1106 ( 302 equ)
% Maximal formula atoms : 59 ( 7 avg)
% Number of connectives : 1531 ( 578 ~; 678 |; 243 &)
% ( 6 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 26 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 57 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
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(n0,pv19)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n3) )
=> a_select2(s_values7_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n2) )
=> a_select2(s_center7_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n3,n1)) )
=> a_select2(s_try7_init,X4) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv19)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [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_0049) ).
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(n0,pv19)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> a_select3(simplex7_init,X1,X0) = init ) )
& ! [X2] :
( ( leq(n0,X2)
& leq(X2,n3) )
=> a_select2(s_values7_init,X2) = init )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n2) )
=> a_select2(s_center7_init,X3) = init )
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,minus(n3,n1)) )
=> a_select2(s_try7_init,X4) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv19)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n2) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n3) )
=> a_select3(simplex7_init,X6,X5) = init ) )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,n3) )
=> a_select2(s_values7_init,X7) = init )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,n2) )
=> a_select2(s_center7_init,X8) = init )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,minus(n3,n1)) )
=> a_select2(s_try7_init,X9) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f143,plain,
( ( init != init
| 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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ? [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) ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& ! [X4] :
( a_select2(s_try7_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f144,plain,
( ( init != init
| 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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ? [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) ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& ! [X4] :
( a_select2(s_try7_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(flattening,[],[f143]) ).
fof(f164,definition,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f165,definition,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f166,definition,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f167,plain,
( ( init != init
| 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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| 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) ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X0] :
( ! [X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(n0,X1)
| ~ leq(X1,n3) )
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
& ! [X2] :
( a_select2(s_values7_init,X2) = init
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
& ! [X3] :
( a_select2(s_center7_init,X3) = init
| ~ leq(n0,X3)
| ~ leq(X3,n2) )
& ! [X4] :
( a_select2(s_try7_init,X4) = init
| ~ leq(n0,X4)
| ~ leq(X4,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(definition_folding,[],[f144,f166,f165,f164]) ).
fof(f201,plain,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f166]) ).
fof(f202,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP6 ),
inference(rectify,[],[f201]) ).
fof(f203,plain,
( ( init != a_select2(s_center7_init,sK34)
& leq(n0,sK34)
& leq(sK34,n2) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X0,sK34)],[f202]) ).
fof(f204,plain,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f165]) ).
fof(f205,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(n0,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP5 ),
inference(rectify,[],[f204]) ).
fof(f206,plain,
( ( init != a_select2(s_try7_init,sK35)
& leq(n0,sK35)
& leq(sK35,minus(n3,n1)) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f205]) ).
fof(f207,plain,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f164]) ).
fof(f208,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(n0,X1)
& leq(X1,n3) )
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP4 ),
inference(rectify,[],[f207]) ).
fof(f209,plain,
( ( init != a_select3(simplex7_init,sK37,sK36)
& leq(n0,sK37)
& leq(sK37,n3)
& leq(n0,sK36)
& leq(sK36,n2) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X0,sK36),skolemize(X1,sK37)],[f208]) ).
fof(f210,plain,
( ( init != init
| 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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| 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) ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) )
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) )
& ! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(rectify,[],[f167]) ).
fof(f211,plain,
( ( init != init
| 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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| ( init != a_select2(s_values7_init,sK38)
& leq(n0,sK38)
& leq(sK38,n3) )
| sP6
| sP5
| ( ( init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init )
& gt(loopcounter,n1) ) )
& 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(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& ! [X1] :
( ! [X2] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3) )
| ~ leq(n0,X1)
| ~ leq(X1,n2) )
& ! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) )
& ! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) )
& ! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) )
& ( ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init )
| ~ gt(loopcounter,n1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X0,sK38)],[f210]) ).
fof(f322,plain,
( leq(sK34,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f203]) ).
fof(f323,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f203]) ).
fof(f324,plain,
( init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f203]) ).
fof(f325,plain,
( leq(sK35,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f206]) ).
fof(f326,plain,
( leq(n0,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f206]) ).
fof(f327,plain,
( init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f206]) ).
fof(f328,plain,
( leq(sK36,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f329,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f330,plain,
( leq(sK37,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f331,plain,
( leq(n0,sK37)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f332,plain,
( init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f209]) ).
fof(f333,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f334,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f335,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f336,plain,
! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f337,plain,
! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f338,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f339,plain,
! [X2,X1] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(cnf_transformation,[],[f211]) ).
fof(f340,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f211]) ).
fof(f341,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f211]) ).
fof(f342,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f211]) ).
fof(f343,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f211]) ).
fof(f344,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f211]) ).
fof(f345,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f211]) ).
fof(f346,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f211]) ).
fof(f347,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f211]) ).
fof(f348,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f211]) ).
fof(f349,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f211]) ).
fof(f350,plain,
s_best7_init = init,
inference(cnf_transformation,[],[f211]) ).
fof(f351,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f352,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f211]) ).
fof(f353,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f354,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f211]) ).
fof(f355,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f356,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f211]) ).
fof(f396,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f350,f349]) ).
fof(f418,plain,
( s_sworst7_init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(definition_unfolding,[],[f324,f349]) ).
fof(f419,plain,
( s_sworst7_init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(definition_unfolding,[],[f327,f349]) ).
fof(f420,plain,
( s_sworst7_init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(definition_unfolding,[],[f332,f349]) ).
fof(f421,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(definition_unfolding,[],[f356,f349,f349,f396,f349,f349,f349,f349,f349,f349,f349]) ).
fof(f422,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f355,f349,f349,f396,f349,f349,f349,f349]) ).
fof(f423,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(definition_unfolding,[],[f354,f349,f349,f396,f349,f349,f349,f349,f349,f349]) ).
fof(f424,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f353,f349,f349,f396,f349,f349,f349]) ).
fof(f425,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(definition_unfolding,[],[f352,f349,f349,f396,f349,f349,f349,f349,f349,f349]) ).
fof(f426,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f351,f349,f349,f396,f349,f349,f349]) ).
fof(f427,plain,
s_sworst7_init = s_worst7_init,
inference(definition_unfolding,[],[f348,f349]) ).
fof(f428,plain,
! [X2,X1] :
( ~ leq(n0,X2)
| s_sworst7_init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(definition_unfolding,[],[f339,f349]) ).
fof(f429,plain,
! [X3] :
( ~ leq(n0,X3)
| s_sworst7_init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3) ),
inference(definition_unfolding,[],[f338,f349]) ).
fof(f430,plain,
! [X4] :
( ~ leq(n0,X4)
| s_sworst7_init = a_select2(s_center7_init,X4)
| ~ leq(X4,n2) ),
inference(definition_unfolding,[],[f337,f349]) ).
fof(f431,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| s_sworst7_init = a_select2(s_try7_init,X5) ),
inference(definition_unfolding,[],[f336,f349]) ).
fof(f432,plain,
( s_sworst7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f335,f349]) ).
fof(f433,plain,
( s_sworst7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f334,f349]) ).
fof(f434,plain,
( s_sworst7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f333,f349]) ).
fof(f443,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f426]) ).
fof(f444,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f443]) ).
fof(f445,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f425]) ).
fof(f446,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f445]) ).
fof(f447,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f448,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f447]) ).
fof(f449,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f450,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f449]) ).
fof(f451,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f452,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f453,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(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f421]) ).
fof(f454,plain,
( s_sworst7_init != s_worst7_init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| sP4
| s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_sworst7_init != pvar1400_init
| s_sworst7_init != pvar1401_init
| s_sworst7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f453]) ).
fof(f456,plain,
( sP4
| leq(sK38,n3)
| sP6
| sP5 ),
inference(global_subsumption,[],[f446,f444,f427,f347,f346,f345,f344,f343,f342,f341,f340,f432,f433,f434]) ).
fof(f458,plain,
( sP4
| leq(n0,sK38)
| sP6
| sP5 ),
inference(global_subsumption,[],[f450,f448,f427,f347,f346,f345,f344,f343,f342,f341,f340,f432,f433,f434]) ).
fof(f460,plain,
( sP4
| s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5 ),
inference(global_subsumption,[],[f454,f452,f427,f347,f346,f345,f344,f343,f342,f341,f340,f432,f433,f434]) ).
fof(f465,definition,
( spl39_1
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).
fof(f466,plain,
( sP6
| ~ spl39_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f467,plain,
( ~ sP6
| spl39_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl39_2
<=> s_sworst7_init = a_select2(s_center7_init,sK34) ),
introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition]) ).
fof(f471,plain,
( s_sworst7_init != a_select2(s_center7_init,sK34)
| spl39_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,plain,
( ~ spl39_1
| ~ spl39_2 ),
inference(avatar_split_clause,[],[f418,f469,f465]) ).
fof(f474,definition,
( spl39_3
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition]) ).
fof(f475,plain,
( sP5
| ~ spl39_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( ~ sP5
| spl39_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f478,definition,
( spl39_4
<=> s_sworst7_init = a_select2(s_try7_init,sK35) ),
introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition]) ).
fof(f480,plain,
( s_sworst7_init != a_select2(s_try7_init,sK35)
| spl39_4 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f481,plain,
( ~ spl39_3
| ~ spl39_4 ),
inference(avatar_split_clause,[],[f419,f478,f474]) ).
fof(f483,definition,
( spl39_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition]) ).
fof(f484,plain,
( sP4
| ~ spl39_5 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f485,plain,
( ~ sP4
| spl39_5 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f487,definition,
( spl39_6
<=> s_sworst7_init = a_select3(simplex7_init,sK37,sK36) ),
introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).
fof(f489,plain,
( s_sworst7_init != a_select3(simplex7_init,sK37,sK36)
| spl39_6 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f490,plain,
( ~ spl39_5
| ~ spl39_6 ),
inference(avatar_split_clause,[],[f420,f487,f483]) ).
fof(f524,plain,
( leq(sK38,n3)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f456,f485]) ).
fof(f525,plain,
( leq(sK38,n3)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f524,f467]) ).
fof(f526,plain,
( leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f525,f476]) ).
fof(f527,plain,
( leq(n0,sK38)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f458,f485]) ).
fof(f528,plain,
( leq(n0,sK38)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f527,f467]) ).
fof(f529,plain,
( leq(n0,sK38)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f528,f476]) ).
fof(f530,plain,
( s_sworst7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f460,f485]) ).
fof(f531,plain,
( s_sworst7_init != a_select2(s_values7_init,sK38)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f530,f467]) ).
fof(f532,plain,
( s_sworst7_init != a_select2(s_values7_init,sK38)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f531,f476]) ).
fof(f546,plain,
( s_sworst7_init = a_select2(s_values7_init,sK38)
| ~ leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5 ),
inference(resolution,[],[f429,f529]) ).
fof(f547,plain,
( ~ leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f546,f532]) ).
fof(f551,plain,
( $false
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f547,f526]) ).
fof(f552,plain,
( spl39_1
| spl39_3
| spl39_5 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f789,plain,
( leq(n0,sK35)
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f326,f475]) ).
fof(f799,plain,
( leq(sK35,minus(n3,n1))
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f325,f475]) ).
fof(f800,plain,
( ~ leq(n0,sK35)
| s_sworst7_init = a_select2(s_try7_init,sK35)
| ~ spl39_3 ),
inference(resolution,[],[f799,f431]) ).
fof(f801,plain,
( s_sworst7_init = a_select2(s_try7_init,sK35)
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f800,f789]) ).
fof(f802,plain,
( $false
| ~ spl39_3
| spl39_4 ),
inference(forward_subsumption_resolution,[],[f801,f480]) ).
fof(f803,plain,
( ~ spl39_3
| spl39_4 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f890,plain,
( leq(sK34,n2)
| ~ spl39_1 ),
inference(forward_subsumption_resolution,[],[f322,f466]) ).
fof(f891,plain,
( leq(n0,sK34)
| ~ spl39_1 ),
inference(forward_subsumption_resolution,[],[f323,f466]) ).
fof(f893,plain,
( s_sworst7_init = a_select2(s_center7_init,sK34)
| ~ leq(sK34,n2)
| ~ spl39_1 ),
inference(resolution,[],[f891,f430]) ).
fof(f895,plain,
( ~ leq(sK34,n2)
| ~ spl39_1
| spl39_2 ),
inference(forward_subsumption_resolution,[],[f893,f471]) ).
fof(f896,plain,
( $false
| ~ spl39_1
| spl39_2 ),
inference(forward_subsumption_resolution,[],[f895,f890]) ).
fof(f897,plain,
( ~ spl39_1
| spl39_2 ),
inference(avatar_contradiction_clause,[],[f896]) ).
fof(f1101,plain,
( leq(sK36,n2)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f328,f484]) ).
fof(f1102,plain,
( leq(n0,sK36)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f329,f484]) ).
fof(f1125,plain,
( leq(sK37,n3)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f330,f484]) ).
fof(f1126,plain,
( leq(n0,sK37)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f331,f484]) ).
fof(f1127,plain,
( ! [X0] :
( s_sworst7_init = a_select3(simplex7_init,sK37,X0)
| ~ leq(sK37,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
| ~ spl39_5 ),
inference(resolution,[],[f1126,f428]) ).
fof(f1137,plain,
( ! [X0] :
( ~ leq(n0,X0)
| s_sworst7_init = a_select3(simplex7_init,sK37,X0)
| ~ leq(X0,n2) )
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f1127,f1125]) ).
fof(f1162,plain,
( s_sworst7_init = a_select3(simplex7_init,sK37,sK36)
| ~ leq(sK36,n2)
| ~ spl39_5 ),
inference(resolution,[],[f1137,f1102]) ).
fof(f1164,plain,
( ~ leq(sK36,n2)
| ~ spl39_5
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1162,f489]) ).
fof(f1169,plain,
( $false
| ~ spl39_5
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f1164,f1101]) ).
fof(f1170,plain,
( ~ spl39_5
| spl39_6 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
cnf(s191,plain,
( ~ spl39_1
| ~ spl39_2 ),
inference(sat_conversion,[],[f472]) ).
cnf(s195,plain,
( ~ spl39_3
| ~ spl39_4 ),
inference(sat_conversion,[],[f481]) ).
cnf(s199,plain,
( ~ spl39_5
| ~ spl39_6 ),
inference(sat_conversion,[],[f490]) ).
cnf(s245,plain,
( spl39_1
| spl39_3
| spl39_5 ),
inference(sat_conversion,[],[f552]) ).
cnf(s496,plain,
( ~ spl39_3
| spl39_4 ),
inference(sat_conversion,[],[f803]) ).
cnf(s565,plain,
( ~ spl39_1
| spl39_2 ),
inference(sat_conversion,[],[f897]) ).
cnf(s693,plain,
( ~ spl39_5
| spl39_6 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s698,plain,
~ spl39_5,
inference(rat,[],[s199,s693]) ).
cnf(s699,plain,
~ spl39_3,
inference(rat,[],[s195,s496]) ).
cnf(s700,plain,
spl39_1,
inference(rat,[],[s245,s698,s699]) ).
cnf(s701,plain,
spl39_2,
inference(rat,[],[s565,s700]) ).
cnf(s702,plain,
$false,
inference(rat,[],[s191,s701,s700]) ).
fof(f1173,plain,
$false,
inference(avatar_sat_refutation,[],[s702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV034+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.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 09:43:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.28 % (1059694)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (1059701)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2052974426:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (1059700)% WARNING: option uhcvi not known.
% 0.19/0.28 % (1059699)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3659744647_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (1059700)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=544931588:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (1059704)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=656660065:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (1059702)dis+10_1_sil=32000:sp=arity:random_seed=4029194288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (1059703)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2072224731:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (1059705)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=460140756:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (1059701) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1059694-1059701"...
% 0.19/0.28 % (1059701)...printing done.
% 0.19/0.28 % (1059701)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (1059701)------------------------------
% 0.19/0.29 % (1059701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1059701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1059701)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1059701)Termination reason: Refutation
% 0.19/0.29 % (1059701)Time elapsed: 0.015 s
% 0.19/0.29 % (1059701)Peak memory usage: 13 MB
% 0.19/0.29 % (1059701)Instructions burned: 41 (million)
% 0.19/0.29 % (1059694)Success in time 0.048 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------