%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV024+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 : 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 01:20:00 PM UTC 2026
% Result : Theorem 0.19s 0.32s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 236 ( 60 unt; 15 def)
% Number of atoms : 1592 ( 476 equ)
% Maximal formula atoms : 73 ( 6 avg)
% Number of connectives : 2235 ( 879 ~;1009 |; 307 &)
% ( 13 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 30 con; 0-3 aty)
% Number of variables : 110 ( 0 sgn 86 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',gt_succ) ).
fof(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
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,pv7)
& leq(n0,pv8)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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
& a_select2(s_try7_init,n0) = init
& a_select2(s_try7_init,n1) = init
& a_select2(s_try7_init,n2) = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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_0009) ).
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,pv7)
& leq(n0,pv8)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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
& a_select2(s_try7_init,n0) = init
& a_select2(s_try7_init,n1) = init
& a_select2(s_try7_init,n2) = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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(f74,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f75,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f81,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f86,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f99,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f115,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f151,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,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) ) )
& 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,pv7)
& leq(n0,pv8)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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(f152,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,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) ) )
& 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,pv7)
& leq(n0,pv8)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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,[],[f151]) ).
fof(f172,definition,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f173,definition,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f174,definition,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f175,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,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) ) )
& 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,pv7)
& leq(n0,pv8)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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,[],[f152,f174,f173,f172]) ).
fof(f176,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f209,plain,
( ? [X8] :
( init != a_select2(s_center7_init,X8)
& leq(n0,X8)
& leq(X8,n2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f174]) ).
fof(f210,plain,
( ? [X0] :
( init != a_select2(s_center7_init,X0)
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP6 ),
inference(rectify,[],[f209]) ).
fof(f211,plain,
( ( init != a_select2(s_center7_init,sK34)
& leq(n0,sK34)
& leq(sK34,n2) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X0,sK34)],[f210]) ).
fof(f212,plain,
( ? [X9] :
( init != a_select2(s_try7_init,X9)
& leq(n0,X9)
& leq(X9,minus(n3,n1)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f173]) ).
fof(f213,plain,
( ? [X0] :
( init != a_select2(s_try7_init,X0)
& leq(n0,X0)
& leq(X0,minus(n3,n1)) )
| ~ sP5 ),
inference(rectify,[],[f212]) ).
fof(f214,plain,
( ( init != a_select2(s_try7_init,sK35)
& leq(n0,sK35)
& leq(sK35,minus(n3,n1)) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X0,sK35)],[f213]) ).
fof(f215,plain,
( ? [X5] :
( ? [X6] :
( init != a_select3(simplex7_init,X6,X5)
& leq(n0,X6)
& leq(X6,n3) )
& leq(n0,X5)
& leq(X5,n2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f172]) ).
fof(f216,plain,
( ? [X0] :
( ? [X1] :
( init != a_select3(simplex7_init,X1,X0)
& leq(n0,X1)
& leq(X1,n3) )
& leq(n0,X0)
& leq(X0,n2) )
| ~ sP4 ),
inference(rectify,[],[f215]) ).
fof(f217,plain,
( ( init != a_select3(simplex7_init,sK37,sK36)
& leq(n0,sK37)
& leq(sK37,n3)
& leq(n0,sK36)
& leq(sK36,n2) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X0,sK36),skolemize(X1,sK37)],[f216]) ).
fof(f218,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,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) ) )
& 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,pv7)
& leq(n0,pv8)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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,[],[f175]) ).
fof(f219,plain,
( ( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,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) ) )
& 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,pv7)
& leq(n0,pv8)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv7,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,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)],[f218]) ).
fof(f223,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f228,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f229,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f300,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f301,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f310,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f330,plain,
( leq(sK34,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f211]) ).
fof(f331,plain,
( leq(n0,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f211]) ).
fof(f332,plain,
( init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(cnf_transformation,[],[f211]) ).
fof(f333,plain,
( leq(sK35,minus(n3,n1))
| ~ sP5 ),
inference(cnf_transformation,[],[f214]) ).
fof(f334,plain,
( leq(n0,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f214]) ).
fof(f335,plain,
( init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(cnf_transformation,[],[f214]) ).
fof(f336,plain,
( leq(sK36,n2)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f337,plain,
( leq(n0,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f338,plain,
( leq(sK37,n3)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f339,plain,
( leq(n0,sK37)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f340,plain,
( init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(cnf_transformation,[],[f217]) ).
fof(f341,plain,
( init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f342,plain,
( init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f343,plain,
( init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f344,plain,
! [X5] :
( init = a_select2(s_try7_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,minus(n3,n1)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f345,plain,
! [X4] :
( init = a_select2(s_center7_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n2) ),
inference(cnf_transformation,[],[f219]) ).
fof(f346,plain,
! [X3] :
( init = a_select2(s_values7_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f347,plain,
! [X2,X1] :
( init = a_select3(simplex7_init,X2,X1)
| ~ leq(n0,X2)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(cnf_transformation,[],[f219]) ).
fof(f348,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[],[f219]) ).
fof(f349,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[],[f219]) ).
fof(f351,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[],[f219]) ).
fof(f352,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[],[f219]) ).
fof(f353,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[],[f219]) ).
fof(f354,plain,
leq(s_best7,n3),
inference(cnf_transformation,[],[f219]) ).
fof(f355,plain,
leq(n0,pv20),
inference(cnf_transformation,[],[f219]) ).
fof(f356,plain,
leq(n0,pv19),
inference(cnf_transformation,[],[f219]) ).
fof(f358,plain,
leq(n0,pv7),
inference(cnf_transformation,[],[f219]) ).
fof(f359,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[],[f219]) ).
fof(f360,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[],[f219]) ).
fof(f361,plain,
leq(n0,s_best7),
inference(cnf_transformation,[],[f219]) ).
fof(f362,plain,
init = s_worst7_init,
inference(cnf_transformation,[],[f219]) ).
fof(f363,plain,
init = s_sworst7_init,
inference(cnf_transformation,[],[f219]) ).
fof(f364,plain,
init = s_best7_init,
inference(cnf_transformation,[],[f219]) ).
fof(f366,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f367,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f219]) ).
fof(f368,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f369,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f219]) ).
fof(f370,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f371,plain,
( init != init
| init != s_best7_init
| init != s_sworst7_init
| init != s_worst7_init
| init != a_select2(s_try7_init,n0)
| init != a_select2(s_try7_init,n1)
| init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| init != pvar1400_init
| init != pvar1401_init
| init != pvar1402_init ),
inference(cnf_transformation,[],[f219]) ).
fof(f391,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f74]) ).
fof(f392,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f75]) ).
fof(f398,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f81]) ).
fof(f403,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f86]) ).
fof(f416,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f99]) ).
fof(f419,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f228,f310]) ).
fof(f421,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f229,f300]) ).
fof(f426,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f301,f300]) ).
fof(f440,plain,
( s_best7_init != a_select2(s_center7_init,sK34)
| ~ sP6 ),
inference(definition_unfolding,[],[f332,f364]) ).
fof(f441,plain,
( s_best7_init != a_select2(s_try7_init,sK35)
| ~ sP5 ),
inference(definition_unfolding,[],[f335,f364]) ).
fof(f442,plain,
( s_best7_init != a_select3(simplex7_init,sK37,sK36)
| ~ sP4 ),
inference(definition_unfolding,[],[f340,f364]) ).
fof(f443,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f371,f364,f364,f364,f364,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f444,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f370,f364,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f445,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f369,f364,f364,f364,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f446,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f368,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f447,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(definition_unfolding,[],[f367,f364,f364,f364,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f448,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f366,f364,f364,f364,f364,f364,f364,f364,f364]) ).
fof(f450,plain,
s_best7_init = s_sworst7_init,
inference(definition_unfolding,[],[f363,f364]) ).
fof(f451,plain,
s_best7_init = s_worst7_init,
inference(definition_unfolding,[],[f362,f364]) ).
fof(f452,plain,
! [X2,X1] :
( ~ leq(n0,X2)
| s_best7_init = a_select3(simplex7_init,X2,X1)
| ~ leq(X2,n3)
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(definition_unfolding,[],[f347,f364]) ).
fof(f453,plain,
! [X3] :
( ~ leq(n0,X3)
| s_best7_init = a_select2(s_values7_init,X3)
| ~ leq(X3,n3) ),
inference(definition_unfolding,[],[f346,f364]) ).
fof(f454,plain,
! [X4] :
( ~ leq(n0,X4)
| s_best7_init = a_select2(s_center7_init,X4)
| ~ leq(X4,n2) ),
inference(definition_unfolding,[],[f345,f364]) ).
fof(f455,plain,
! [X5] :
( ~ leq(X5,minus(n3,n1))
| ~ leq(n0,X5)
| s_best7_init = a_select2(s_try7_init,X5) ),
inference(definition_unfolding,[],[f344,f364]) ).
fof(f456,plain,
( s_best7_init = pvar1400_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f343,f364]) ).
fof(f457,plain,
( s_best7_init = pvar1401_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f342,f364]) ).
fof(f458,plain,
( s_best7_init = pvar1402_init
| ~ gt(loopcounter,n1) ),
inference(definition_unfolding,[],[f341,f364]) ).
fof(f461,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f416,f300]) ).
fof(f467,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f468,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f467]) ).
fof(f469,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f470,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(sK38,n3)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f469]) ).
fof(f471,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f472,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f473,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f445]) ).
fof(f474,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| leq(n0,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f473]) ).
fof(f475,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f476,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| gt(loopcounter,n1) ),
inference(trivial_inequality_removal,[],[f475]) ).
fof(f477,plain,
( s_best7_init != s_best7_init
| s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f478,plain,
( s_best7_init != s_sworst7_init
| s_best7_init != s_worst7_init
| s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv7,minus(n410,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| s_best7_init != pvar1400_init
| s_best7_init != pvar1401_init
| s_best7_init != pvar1402_init ),
inference(trivial_inequality_removal,[],[f477]) ).
fof(f480,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| sP4
| leq(sK38,n3)
| sP6
| sP5 ),
inference(global_subsumption,[],[f470,f468,f450,f451,f361,f360,f359,f358,f356,f355,f354,f353,f352,f351,f349,f348,f456,f457,f458]) ).
fof(f482,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| sP4
| leq(n0,sK38)
| sP6
| sP5 ),
inference(global_subsumption,[],[f474,f472,f450,f451,f361,f360,f359,f358,f356,f355,f354,f353,f352,f351,f349,f348,f456,f457,f458]) ).
fof(f484,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| sP4
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5 ),
inference(global_subsumption,[],[f478,f476,f450,f451,f361,f360,f359,f358,f356,f355,f354,f353,f352,f351,f349,f348,f456,f457,f458]) ).
fof(f486,definition,
( spl39_1
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition]) ).
fof(f487,plain,
( sP6
| ~ spl39_1 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f488,plain,
( ~ sP6
| spl39_1 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f490,definition,
( spl39_2
<=> s_best7_init = a_select2(s_center7_init,sK34) ),
introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition]) ).
fof(f492,plain,
( s_best7_init != a_select2(s_center7_init,sK34)
| spl39_2 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
( ~ spl39_1
| ~ spl39_2 ),
inference(avatar_split_clause,[],[f440,f490,f486]) ).
fof(f495,definition,
( spl39_3
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition]) ).
fof(f496,plain,
( sP5
| ~ spl39_3 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f497,plain,
( ~ sP5
| spl39_3 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f499,definition,
( spl39_4
<=> s_best7_init = a_select2(s_try7_init,sK35) ),
introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition]) ).
fof(f501,plain,
( s_best7_init != a_select2(s_try7_init,sK35)
| spl39_4 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f502,plain,
( ~ spl39_3
| ~ spl39_4 ),
inference(avatar_split_clause,[],[f441,f499,f495]) ).
fof(f504,definition,
( spl39_5
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition]) ).
fof(f505,plain,
( sP4
| ~ spl39_5 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f506,plain,
( ~ sP4
| spl39_5 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f508,definition,
( spl39_6
<=> s_best7_init = a_select3(simplex7_init,sK37,sK36) ),
introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition]) ).
fof(f510,plain,
( s_best7_init != a_select3(simplex7_init,sK37,sK36)
| spl39_6 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f511,plain,
( ~ spl39_5
| ~ spl39_6 ),
inference(avatar_split_clause,[],[f442,f508,f504]) ).
fof(f700,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| leq(sK38,n3)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f480,f506]) ).
fof(f702,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| s_best7_init != a_select2(s_values7_init,sK38)
| sP6
| sP5
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f484,f506]) ).
fof(f706,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| leq(sK38,n3)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f700,f488]) ).
fof(f708,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| s_best7_init != a_select2(s_values7_init,sK38)
| sP5
| spl39_1
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f702,f488]) ).
fof(f712,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f706,f497]) ).
fof(f714,plain,
( s_best7_init != a_select2(s_try7_init,n0)
| s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| s_best7_init != a_select2(s_values7_init,sK38)
| spl39_1
| spl39_3
| spl39_5 ),
inference(forward_subsumption_resolution,[],[f708,f497]) ).
fof(f722,definition,
( spl39_25
<=> s_best7_init = a_select2(s_values7_init,sK38) ),
introduced(definition,[new_symbols(definition,[spl39_25])],[avatar_definition]) ).
fof(f724,plain,
( s_best7_init != a_select2(s_values7_init,sK38)
| spl39_25 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f726,definition,
( spl39_26
<=> s_best7_init = a_select2(s_try7_init,n2) ),
introduced(definition,[new_symbols(definition,[spl39_26])],[avatar_definition]) ).
fof(f728,plain,
( s_best7_init != a_select2(s_try7_init,n2)
| spl39_26 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f730,definition,
( spl39_27
<=> s_best7_init = a_select2(s_try7_init,n1) ),
introduced(definition,[new_symbols(definition,[spl39_27])],[avatar_definition]) ).
fof(f732,plain,
( s_best7_init != a_select2(s_try7_init,n1)
| spl39_27 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f734,definition,
( spl39_28
<=> s_best7_init = a_select2(s_try7_init,n0) ),
introduced(definition,[new_symbols(definition,[spl39_28])],[avatar_definition]) ).
fof(f735,plain,
( s_best7_init = a_select2(s_try7_init,n0)
| ~ spl39_28 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f737,plain,
( ~ spl39_25
| ~ spl39_26
| ~ spl39_27
| ~ spl39_28
| spl39_1
| spl39_3
| spl39_5 ),
inference(avatar_split_clause,[],[f714,f504,f495,f486,f734,f730,f726,f722]) ).
fof(f788,definition,
( spl39_40
<=> leq(n0,minus(n3,n1)) ),
introduced(definition,[new_symbols(definition,[spl39_40])],[avatar_definition]) ).
fof(f789,plain,
( leq(n0,minus(n3,n1))
| ~ spl39_40 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( ~ leq(n0,minus(n3,n1))
| spl39_40 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f793,definition,
( spl39_41
<=> leq(sK38,n3) ),
introduced(definition,[new_symbols(definition,[spl39_41])],[avatar_definition]) ).
fof(f795,plain,
( leq(sK38,n3)
| ~ spl39_41 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f796,plain,
( spl39_41
| ~ spl39_26
| ~ spl39_27
| ~ spl39_28
| spl39_1
| spl39_3
| spl39_5 ),
inference(avatar_split_clause,[],[f712,f504,f495,f486,f734,f730,f726,f793]) ).
fof(f805,plain,
! [X0] : leq(X0,plus(X0,n1)),
inference(resolution,[],[f225,f421]) ).
fof(f807,plain,
leq(n0,n2),
inference(resolution,[],[f225,f391]) ).
fof(f1018,plain,
! [X0] : leq(X0,plus(n1,X0)),
inference(superposition,[],[f805,f426]) ).
fof(f1139,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ gt(n3,X0)
| s_best7_init = a_select2(s_try7_init,X0) ),
inference(resolution,[],[f419,f455]) ).
fof(f1140,plain,
( ~ gt(n3,n0)
| spl39_40 ),
inference(resolution,[],[f419,f790]) ).
fof(f1150,plain,
( $false
| spl39_40 ),
inference(forward_subsumption_resolution,[],[f1140,f392]) ).
fof(f1151,plain,
spl39_40,
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1156,plain,
( ~ leq(n0,n0)
| s_best7_init = a_select2(s_try7_init,n0)
| ~ spl39_40 ),
inference(resolution,[],[f789,f455]) ).
fof(f1157,plain,
( s_best7_init = a_select2(s_try7_init,n0)
| ~ spl39_40 ),
inference(forward_subsumption_resolution,[],[f1156,f223]) ).
fof(f1158,plain,
( spl39_28
| ~ spl39_40 ),
inference(avatar_split_clause,[],[f1157,f788,f734]) ).
fof(f1166,plain,
( ~ gt(n3,plus(n1,n0))
| s_best7_init = a_select2(s_try7_init,plus(n1,n0)) ),
inference(resolution,[],[f1139,f1018]) ).
fof(f1167,plain,
( ~ gt(n3,n2)
| s_best7_init = a_select2(s_try7_init,n2) ),
inference(resolution,[],[f1139,f807]) ).
fof(f1182,plain,
( ~ gt(n3,plus(n0,n1))
| s_best7_init = a_select2(s_try7_init,plus(n1,n0)) ),
inference(forward_demodulation,[],[f1166,f426]) ).
fof(f1185,plain,
( ~ gt(n3,n1)
| s_best7_init = a_select2(s_try7_init,plus(n1,n0)) ),
inference(forward_demodulation,[],[f1182,f461]) ).
fof(f1189,plain,
s_best7_init = a_select2(s_try7_init,plus(n1,n0)),
inference(forward_subsumption_resolution,[],[f1185,f398]) ).
fof(f1191,plain,
s_best7_init = a_select2(s_try7_init,plus(n0,n1)),
inference(forward_demodulation,[],[f1189,f426]) ).
fof(f1194,plain,
s_best7_init = a_select2(s_try7_init,n1),
inference(forward_demodulation,[],[f1191,f461]) ).
fof(f1195,plain,
( $false
| spl39_27 ),
inference(forward_subsumption_resolution,[],[f1194,f732]) ).
fof(f1196,plain,
spl39_27,
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1200,plain,
( s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| sP4
| leq(n0,sK38)
| sP6
| sP5
| ~ spl39_28 ),
inference(forward_subsumption_resolution,[],[f482,f735]) ).
fof(f1474,plain,
( leq(sK34,n2)
| ~ spl39_1 ),
inference(forward_subsumption_resolution,[],[f330,f487]) ).
fof(f1475,plain,
( leq(n0,sK34)
| ~ spl39_1 ),
inference(forward_subsumption_resolution,[],[f331,f487]) ).
fof(f1478,plain,
( s_best7_init = a_select2(s_center7_init,sK34)
| ~ leq(sK34,n2)
| ~ spl39_1 ),
inference(resolution,[],[f1475,f454]) ).
fof(f1480,plain,
( ~ leq(sK34,n2)
| ~ spl39_1
| spl39_2 ),
inference(forward_subsumption_resolution,[],[f1478,f492]) ).
fof(f1481,plain,
( $false
| ~ spl39_1
| spl39_2 ),
inference(forward_subsumption_resolution,[],[f1480,f1474]) ).
fof(f1482,plain,
( ~ spl39_1
| spl39_2 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1483,plain,
s_best7_init = a_select2(s_try7_init,n2),
inference(forward_subsumption_resolution,[],[f1167,f403]) ).
fof(f1485,plain,
( s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| leq(n0,sK38)
| sP6
| sP5
| spl39_5
| ~ spl39_28 ),
inference(forward_subsumption_resolution,[],[f1200,f506]) ).
fof(f1491,plain,
( s_best7_init != a_select2(s_try7_init,n1)
| s_best7_init != a_select2(s_try7_init,n2)
| leq(n0,sK38)
| sP6
| spl39_3
| spl39_5
| ~ spl39_28 ),
inference(forward_subsumption_resolution,[],[f1485,f497]) ).
fof(f1497,plain,
( leq(n0,sK38)
| sP6
| spl39_3
| spl39_5
| ~ spl39_28 ),
inference(global_subsumption,[],[f1491,f1483,f1194]) ).
fof(f1505,plain,
( $false
| spl39_26 ),
inference(global_subsumption,[],[f728,f1483]) ).
fof(f1506,plain,
spl39_26,
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1529,plain,
( leq(n0,sK38)
| spl39_1
| spl39_3
| spl39_5
| ~ spl39_28 ),
inference(forward_subsumption_resolution,[],[f1497,f488]) ).
fof(f1533,plain,
( s_best7_init = a_select2(s_values7_init,sK38)
| ~ leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5
| ~ spl39_28 ),
inference(resolution,[],[f1529,f453]) ).
fof(f1534,plain,
( ~ leq(sK38,n3)
| spl39_1
| spl39_3
| spl39_5
| spl39_25
| ~ spl39_28 ),
inference(forward_subsumption_resolution,[],[f1533,f724]) ).
fof(f1535,plain,
( $false
| spl39_1
| spl39_3
| spl39_5
| spl39_25
| ~ spl39_28
| ~ spl39_41 ),
inference(forward_subsumption_resolution,[],[f1534,f795]) ).
fof(f1536,plain,
( spl39_1
| spl39_3
| spl39_5
| spl39_25
| ~ spl39_28
| ~ spl39_41 ),
inference(avatar_contradiction_clause,[],[f1535]) ).
fof(f1781,plain,
( leq(n0,sK35)
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f334,f496]) ).
fof(f1821,plain,
( leq(sK35,minus(n3,n1))
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f333,f496]) ).
fof(f1822,plain,
( ~ leq(n0,sK35)
| s_best7_init = a_select2(s_try7_init,sK35)
| ~ spl39_3 ),
inference(resolution,[],[f1821,f455]) ).
fof(f1823,plain,
( s_best7_init = a_select2(s_try7_init,sK35)
| ~ spl39_3 ),
inference(forward_subsumption_resolution,[],[f1822,f1781]) ).
fof(f1824,plain,
( $false
| ~ spl39_3
| spl39_4 ),
inference(forward_subsumption_resolution,[],[f1823,f501]) ).
fof(f1825,plain,
( ~ spl39_3
| spl39_4 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f2289,plain,
( leq(sK36,n2)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f336,f505]) ).
fof(f2290,plain,
( leq(n0,sK36)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f337,f505]) ).
fof(f2326,plain,
( leq(sK37,n3)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f338,f505]) ).
fof(f2327,plain,
( leq(n0,sK37)
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f339,f505]) ).
fof(f2328,plain,
( ! [X0] :
( s_best7_init = a_select3(simplex7_init,sK37,X0)
| ~ leq(sK37,n3)
| ~ leq(n0,X0)
| ~ leq(X0,n2) )
| ~ spl39_5 ),
inference(resolution,[],[f2327,f452]) ).
fof(f2345,plain,
( ! [X0] :
( ~ leq(n0,X0)
| s_best7_init = a_select3(simplex7_init,sK37,X0)
| ~ leq(X0,n2) )
| ~ spl39_5 ),
inference(forward_subsumption_resolution,[],[f2328,f2326]) ).
fof(f2387,plain,
( s_best7_init = a_select3(simplex7_init,sK37,sK36)
| ~ leq(sK36,n2)
| ~ spl39_5 ),
inference(resolution,[],[f2345,f2290]) ).
fof(f2389,plain,
( ~ leq(sK36,n2)
| ~ spl39_5
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f2387,f510]) ).
fof(f2395,plain,
( $false
| ~ spl39_5
| spl39_6 ),
inference(forward_subsumption_resolution,[],[f2389,f2289]) ).
fof(f2396,plain,
( ~ spl39_5
| spl39_6 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
cnf(s203,plain,
( ~ spl39_1
| ~ spl39_2 ),
inference(sat_conversion,[],[f493]) ).
cnf(s207,plain,
( ~ spl39_3
| ~ spl39_4 ),
inference(sat_conversion,[],[f502]) ).
cnf(s211,plain,
( ~ spl39_5
| ~ spl39_6 ),
inference(sat_conversion,[],[f511]) ).
cnf(s359,plain,
( spl39_1
| spl39_3
| spl39_5
| ~ spl39_25
| ~ spl39_26
| ~ spl39_27
| ~ spl39_28 ),
inference(sat_conversion,[],[f737]) ).
cnf(s390,plain,
( spl39_1
| spl39_3
| spl39_5
| ~ spl39_26
| ~ spl39_27
| ~ spl39_28
| spl39_41 ),
inference(sat_conversion,[],[f796]) ).
cnf(s708,plain,
spl39_40,
inference(sat_conversion,[],[f1151]) ).
cnf(s718,plain,
( spl39_28
| ~ spl39_40 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s737,plain,
spl39_27,
inference(sat_conversion,[],[f1196]) ).
cnf(s903,plain,
( ~ spl39_1
| spl39_2 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s940,plain,
spl39_26,
inference(sat_conversion,[],[f1506]) ).
cnf(s965,plain,
( spl39_1
| spl39_3
| spl39_5
| spl39_25
| ~ spl39_28
| ~ spl39_41 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s1132,plain,
( ~ spl39_3
| spl39_4 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s1339,plain,
( ~ spl39_5
| spl39_6 ),
inference(sat_conversion,[],[f2396]) ).
cnf(s1345,plain,
spl39_28,
inference(rat,[],[s718,s708]) ).
cnf(s1349,plain,
( spl39_1
| spl39_3
| spl39_5
| spl39_41 ),
inference(rat,[],[s390,s1345,s737,s940]) ).
cnf(s1352,plain,
( spl39_1
| spl39_3
| spl39_5
| ~ spl39_25 ),
inference(rat,[],[s359,s1345,s737,s940]) ).
cnf(s1353,plain,
( spl39_5
| spl39_3
| spl39_1 ),
inference(rat,[],[s965,s1352,s1349,s1345]) ).
cnf(s1354,plain,
~ spl39_5,
inference(rat,[],[s211,s1339]) ).
cnf(s1355,plain,
~ spl39_3,
inference(rat,[],[s207,s1132]) ).
cnf(s1356,plain,
spl39_1,
inference(rat,[],[s1353,s1354,s1355]) ).
cnf(s1357,plain,
spl39_2,
inference(rat,[],[s903,s1356]) ).
cnf(s1358,plain,
$false,
inference(rat,[],[s203,s1357,s1356]) ).
fof(f2403,plain,
$false,
inference(avatar_sat_refutation,[],[s1358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV024+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n006.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:42:55 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.32 % (3852546)Will run a generic schedule for satisfiability detection.
% 0.19/0.32 % (3852556)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4123997130:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32 % (3852552)% WARNING: option uhcvi not known.
% 0.19/0.32 % (3852551)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3978688908_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32 % (3852552)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1101275419:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32 % (3852555)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3162574386:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32 % (3852553)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3170562704:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32 % (3852554)dis+10_1_sil=32000:sp=arity:random_seed=2316111582:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32 % (3852557)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2988510591:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32 % (3852556)Instruction limit reached!
% 0.19/0.32 % (3852556)------------------------------
% 0.19/0.32 % (3852556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (3852556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (3852556)CaDiCaL version: 2.1.3
% 0.19/0.32 % (3852556)Termination reason: Instruction limit
% 0.19/0.32 % (3852556)Termination phase: Saturation
% 0.19/0.32 % (3852556)Time elapsed: 0.036 s
% 0.19/0.32 % (3852556)Peak memory usage: 13 MB
% 0.19/0.32 % (3852556)Instructions burned: 133 (million)
% 0.19/0.32 % (3852565)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2559585368:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.32 % TRYING [1]
% 0.19/0.32 % TRYING [1]
% 0.19/0.32 % TRYING [2]
% 0.19/0.32 % (3852553) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3852546-3852553"...
% 0.19/0.32 % TRYING [2]
% 0.19/0.32 % (3852554)Instruction limit reached!
% 0.19/0.32 % (3852554)------------------------------
% 0.19/0.32 % (3852554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (3852554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (3852554)CaDiCaL version: 2.1.3
% 0.19/0.32 % (3852554)Termination reason: Instruction limit
% 0.19/0.32 % (3852554)Termination phase: Saturation
% 0.19/0.32 % (3852554)Time elapsed: 0.056 s
% 0.19/0.32 % (3852554)Peak memory usage: 13 MB
% 0.19/0.32 % (3852554)Instructions burned: 103 (million)
% 0.19/0.32 % TRYING [3]
% 0.19/0.32 % (3852553)...printing done.
% 0.19/0.32 % (3852553)Refutation found. Thanks to Tanya!
% 0.19/0.32 % SZS status Theorem for theBenchmark
% 0.19/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.33 % (3852553)------------------------------
% 0.19/0.33 % (3852553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.33 % (3852553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.33 % (3852553)CaDiCaL version: 2.1.3
% 0.19/0.33 % (3852553)Termination reason: Refutation
% 0.19/0.33 % (3852553)Time elapsed: 0.059 s
% 0.19/0.33 % (3852553)Peak memory usage: 14 MB
% 0.19/0.33 % (3852553)Instructions burned: 99 (million)
% 0.19/0.33 % (3852546)Success in time 0.095 s
% 0.19/0.33 % Vampire exiting
%------------------------------------------------------------------------------