TPTP Problem File: SWC278+1.p
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%--------------------------------------------------------------------------
% File : SWC278+1 : TPTP v9.0.0. Released v2.4.0.
% Domain : Software Creation
% Problem : cond_pst_sorted2_x_pst_equal1
% Version : [Wei00] axioms.
% English : Find components in a software library that match a given target
% specification given in first-order logic. The components are
% specified in first-order logic as well. The problem represents
% a test of one library module specification against a target
% specification.
% Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% Source : [Wei00]
% Names : cond_pst_sorted2_x_pst_equal1 [Wei00]
% Status : Theorem
% Rating : 1.00 v2.6.0, 0.83 v2.4.0
% Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% Number of atoms : 415 ( 76 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 349 ( 30 ~; 14 |; 44 &)
% ( 26 <=>; 235 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 215 ( 198 !; 17 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%--------------------------------------------------------------------------
%----Include list specification axioms
include('Axioms/SWC001+0.ax').
%--------------------------------------------------------------------------
fof(co1,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| ? [Y] :
( ssItem(Y)
& ? [Z] :
( ssItem(Z)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& Y != Z
& app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) = W ) ) ) )
| ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X4,cons(X3,nil)),X5) != U
| ! [X6] :
( ssItem(X6)
=> ( ( ~ memberP(X4,X6)
| leq(X6,X3) )
& ( ~ memberP(X5,X6)
| leq(X3,X6) ) ) ) ) ) ) ) ) ) ) ) ) ).
%--------------------------------------------------------------------------