TPTP Problem File: SWV402+1.p
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%------------------------------------------------------------------------------
% File : SWV402+1 : TPTP v8.2.0. Released v3.3.0.
% Domain : Software Verification
% Problem : Priority queue checker: tmp_not_check_03_3 base
% Version : [dNP05] axioms.
% English :
% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% Source : [Pis06]
% Names : cpq_l038 [Pis06]
% Status : Theorem
% Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.04 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.0, 0.08 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.05 v3.3.0
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 37 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 6 ~; 3 |; 6 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
%----Include the axioms about priority queues and checked priority queues
include('Axioms/SWV007+0.ax').
include('Axioms/SWV007+2.ax').
%------------------------------------------------------------------------------
%----goal: fof(l35_li3839, lemma, (! [U,V,W,X] : ((pair_in_list(U,V,W) &
%---- strictly_less_than(W,X)) => pair_in_list(update_slb(U,X),V,X)))).
%----tmp_not_check_03_3::base (conjecture)
fof(l38_co,conjecture,
! [U,V,W,X] :
( ( pair_in_list(create_slb,V,W)
& strictly_less_than(W,X) )
=> pair_in_list(update_slb(create_slb,X),V,X) ) ).
%------------------------------------------------------------------------------