============================== Prover9 ===============================
Prover9 (32) version June-2006B, June 2006.
Process 30404 was started by zalta on mally,
Fri Sep 11 17:16:00 2009
The command was "prover9.orig".
============================== end of head ===========================

============================== INPUT =================================
set(auto2).
    % set(auto2) -> set(auto).
    % set(auto) -> set(auto_inference).
    % set(auto_inference) -> set(predicate_elim).
    % set(auto_inference) -> assign(eq_defs, unfold).
    % set(auto) -> set(auto_limits).
    % set(auto_limits) -> assign(max_weight, 100).
    % set(auto_limits) -> assign(sos_limit, 10000).
    % set(auto2) -> set(fof_reduction).
    % set(auto2) -> assign(new_constants, 1).
    % set(auto2) -> assign(fold_denial_max, 3).
    % set(auto2) -> assign(max_weight, 200).
    % set(auto2) -> assign(nest_penalty, 1).
    % set(auto2) -> assign(skolem_penalty, 3).
    % set(auto2) -> assign(sk_constant_weight, 0).
    % set(auto2) -> assign(prop_atom_weight, 5).
    % set(auto2) -> set(sort_initial_sos).
    % set(auto2) -> assign(sos_limit, -1).
    % set(auto2) -> assign(lrs_ticks, 3000).
    % set(auto2) -> assign(max_megs, 400).
    % set(auto2) -> assign(stats, some).
    % set(auto2) -> clear(echo_input).
    % set(auto2) -> set(quiet).
    % set(auto2) -> clear(print_subproblems).
    % set(auto2) -> clear(print_initial_clauses).
    % set(auto2) -> clear(print_given).
clear(fof_reduction).

% formulas(sos).  % not echoed (10 formulas)

============================== end of input ==========================

============================== PROCESS INITIAL CLAUSES ===============
% Assigned IDs to 19 clauses.

Term ordering decisions:

============================== end of process initial clauses ========

============================== CLAUSES FOR SEARCH ====================

============================== end of clauses for search =============

============================== SEARCH ================================

% Starting search at 0.00 seconds.

============================== PROOF =================================

% Proof 1 at 0.00 (+ 0.00) seconds.
% Length of proof is 30.
% Level of proof is 7.
% Maximum clause weight is 16.
% Given clauses 20.

2 Proposition(c1).  [clausify].
3 PossiblyTrue(c1).  [clausify].
4 - World(x) | - TrueIn(c1,x).  [clausify].
5 - WorldAt(x,y) | Object(x).  [clausify].
7 - PossiblyTrue(x) | Point(f2(x)).  [clausify].
9 World(x) | - WorldAt(x,W).  [clausify].
11 - Point(x) | ActualAt(f1(x),x).  [clausify].
12 - PossiblyTrue(x) | True(x,f2(x)).  [clausify].
15 TrueIn(x,y) | - TrueInAt(x,y,W).  [clausify].
16 - Object(x) | - Point(y) | - WorldAt(x,y) | - Point(z) | WorldAt(x,z).  [clausify].
17 - Object(x) | - Proposition(y) | - Point(z) | - TrueInAt(y,x,z) | - Point(u) | TrueInAt(y,x,u).  [clausify].
19 - Object(x) | - Point(y) | - WorldAt(x,y) | - ActualAt(x,y) | - Proposition(z) | TrueInAt(z,x,y) | - True(z,y).  [clausify].
20 - Object(x) | - Point(y) | - TrueInAt(c1,x,y) | - Point(z) | TrueInAt(c1,x,z).  [resolve(17,b,2,a)].
22 - Object(x) | - Point(y) | - WorldAt(x,y) | - ActualAt(x,y) | TrueInAt(c1,x,y) | - True(c1,y).  [resolve(19,e,2,a)].
27 - WorldAt(x,W) | - TrueIn(c1,x).  [resolve(9,a,4,a)].
31 - Point(x) | - WorldAt(y,x) | - ActualAt(y,x) | TrueInAt(c1,y,x) | - True(c1,x) | - WorldAt(y,z).  [resolve(22,a,5,b)].
33 - Point(x) | - WorldAt(f1(x),x) | TrueInAt(c1,f1(x),x) | - True(c1,x) | - WorldAt(f1(x),y) | - Point(x).  [resolve(31,c,11,b)].
35 Point(W).  [clausify].
37 - Point(x) | WorldAt(f1(x),x).  [clausify].
38 Point(f2(c1)).  [resolve(7,a,3,a)].
39 True(c1,f2(c1)).  [resolve(12,a,3,a)].
42 - Point(x) | - WorldAt(y,x) | - Point(z) | WorldAt(y,z) | - WorldAt(y,u).  [resolve(16,a,5,b)].
43 - Point(x) | - TrueInAt(c1,y,x) | - Point(z) | TrueInAt(c1,y,z) | - WorldAt(y,u).  [resolve(20,a,5,b)].
45 - Point(x) | - WorldAt(f1(x),x) | TrueInAt(c1,f1(x),x) | - True(c1,x) | - WorldAt(f1(x),y).  [copy(33),merge(f)].
46 - WorldAt(x,W) | - TrueInAt(c1,x,W).  [resolve(27,b,15,a)].
48 WorldAt(f1(f2(c1)),f2(c1)).  [ur(37,a,38,a)].
57 TrueInAt(c1,f1(f2(c1)),f2(c1)).  [ur(45,a,38,a,b,48,a,d,39,a,e,48,a)].
58 WorldAt(f1(f2(c1)),W).  [ur(42,a,38,a,b,48,a,c,35,a,e,48,a)].
59 TrueInAt(c1,f1(f2(c1)),W).  [ur(43,a,38,a,b,57,a,c,35,a,e,48,a)].
60 $F.  [resolve(58,a,46,a),unit_del(a,59)].

============================== end of proof ==========================

============================== STATISTICS ============================

Given=20. Generated=64. Kept=25. proofs=1.
Usable=20. Sos=4. Demods=0. Denials=0. Limbo=0, Disabled=35. Hints=0.
Megabytes=0.05.
User_CPU=0.00, System_CPU=0.00, Wall_clock=0.

============================== end of statistics =====================

============================== end of search =========================

THEOREM PROVED

Exiting with 1 proof.

Process 30404 exit (max_proofs) Fri Sep 11 17:16:00 2009
