File: 3b.direct

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============================== directproof ===========================
Prover9 (32) version Dec-2007, Dec 2007.
Process 9270 was started by mccune on cleo,
Tue Jan 22 11:28:26 2008
The command was "prover9 -f bw.in".
============================== end of head ===========================

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

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

% -------- Comments from original proof --------
% Proof 1 at 5.51 (+ 0.02) seconds: fixed_point_combinator.
% Length of proof is 13.
% Level of proof is 6.
% Maximum clause weight is 60.
% Given clauses 117.

1 a = b.  [assumption].
2 f(c,g(h(g(a),d))) != g(h(g(b),d)).  [assumption].
3 f(c,x) = x.  [assumption].
6 f(c,g(h(g(y),z))) = g(h(g(y),z)).  [instantiate(3,[[x:g(h(g(y),z))]])].
7 f(c,g(h(g(a),x))) = g(h(g(b),x)).  [para(1(a,2),6(a,1,2,1,1,1))].
8 $F.  [resolve(7,a,2,a)].

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