TPTP Problem File: SWC155+1.p
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%--------------------------------------------------------------------------
% File : SWC155+1 : TPTP v9.0.0. Released v2.4.0.
% Domain : Software Creation
% Problem : cond_pst_cyc_sorted_x_pst_sorted2
% 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_cyc_sorted_x_pst_sorted2 [Wei00]
% Status : Theorem
% Rating : 0.85 v9.0.0, 0.83 v8.2.0, 0.89 v8.1.0, 0.83 v7.5.0, 0.88 v7.4.0, 0.77 v7.3.0, 0.79 v7.1.0, 0.74 v7.0.0, 0.80 v6.4.0, 0.81 v6.3.0, 0.75 v6.2.0, 0.88 v6.1.0, 0.90 v6.0.0, 0.91 v5.5.0, 0.89 v5.3.0, 0.93 v5.2.0, 0.85 v5.1.0, 0.90 v5.0.0, 0.92 v4.1.0, 0.96 v3.7.0, 0.95 v3.3.0, 0.93 v3.2.0, 1.00 v2.6.0, 0.83 v2.4.0
% Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% Number of atoms : 421 ( 75 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 356 ( 31 ~; 15 |; 47 &)
% ( 26 <=>; 237 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 6 ( 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 : 217 ( 200 !; 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] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& app(app(Z,cons(Y,nil)),X1) = W
& ? [X2] :
( ssItem(X2)
& ( ( ~ leq(Y,X2)
& memberP(X1,X2) )
| ( ~ leq(X2,Y)
& memberP(Z,X2) ) ) ) ) ) )
| ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(app(X5,cons(X3,nil)),X6),cons(X4,nil)),X7) != U
| ~ leq(X4,X3)
| ( ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X6,X8)
| ( leq(X3,X8)
& leq(X8,X4) ) ) )
& leq(X3,X4) ) ) ) ) ) ) ) ) ) ) ) ) ).
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