TPTP Problem File: SWC213-1.p

View Solutions - Solve Problem

%--------------------------------------------------------------------------
% File     : SWC213-1 : TPTP v8.2.0. Released v2.4.0.
% Domain   : Software Creation
% Problem  : cond_pst_not_nil_ne_x_run_eq_max2
% 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   : [TPTP]
% Names    :

% Status   : Unsatisfiable
% Rating   : 0.15 v8.2.0, 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.22 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.18 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.25 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.25 v2.6.0, 0.11 v2.4.0
% Syntax   : Number of clauses     :  200 (  66 unt;  33 nHn; 157 RR)
%            Number of literals    :  628 ( 107 equ; 410 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
%            Number of functors    :   55 (  55 usr;   9 con; 0-2 aty)
%            Number of variables   :  332 (  49 sgn)
% SPC      : CNF_UNS_RFO_SEQ_NHN

% Comments : Created by CNF conversion from SWC213+1
%--------------------------------------------------------------------------
%----Include list specification axioms
include('Axioms/SWC001-0.ax').
%--------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
    ssList(sk1) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2) ).

cnf(co1_3,negated_conjecture,
    ssList(sk3) ).

cnf(co1_4,negated_conjecture,
    ssList(sk4) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4 ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3 ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil) ).

cnf(co1_8,negated_conjecture,
    ssList(sk5) ).

cnf(co1_9,negated_conjecture,
    ssList(sk6) ).

cnf(co1_10,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4 ).

cnf(co1_11,negated_conjecture,
    equalelemsP(sk3) ).

cnf(co1_12,negated_conjecture,
    ( ~ ssItem(A)
    | ~ ssList(B)
    | app(B,cons(A,nil)) != sk5
    | ~ ssList(C)
    | app(cons(A,nil),C) != sk3 ) ).

cnf(co1_13,negated_conjecture,
    ( ~ ssItem(A)
    | ~ ssList(B)
    | app(cons(A,nil),B) != sk6
    | ~ ssList(C)
    | app(C,cons(A,nil)) != sk3 ) ).

cnf(co1_14,negated_conjecture,
    ~ neq(sk1,nil) ).

cnf(co1_15,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ) ).

%--------------------------------------------------------------------------