%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:13:02 PM UTC 2026
% Result : Unsatisfiable 24.11s 3.44s
% Output : CNFRefutation 24.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_yqfERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
inference(cnf,[status(esa)],[prove_yqf]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2)))),
inference(cnf,[status(esa)],[yqj]) ).
cnf(l2,plain,
is_a_theorem(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l46,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l48,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l49,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l50,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b))),equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l51,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b))),equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b))),equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l52,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l53,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l54,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l59,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l60,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l65,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l68,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l67,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l56,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l62,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l57,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b))),equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(b,equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l63,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l78,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l73,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l66,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l72,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l70,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l64,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l93,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l76,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l77,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l71,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l79,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l69,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),b),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(c,b),b)),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(b,equivalent(a,c)),equivalent(a,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l83,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l92,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),a),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l80,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a)),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l85,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))),equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,c),a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l84,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(a,equivalent(c,b)),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(a,equivalent(c,b))),equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(a,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4,l46,l47,l5,l6,l7,l10,l8,l13,l9,l48,l49,l50,l51,l52,l53,l54,l55,l59,l60,l65,l68,l67,l56,l62,l57,l63,l78,l73,l66,l72,l70,l64,l93,l76,l77,l71,l79,l69,l83,l92,l80,l85,l84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 4 14:25:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 8
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.37 % launching worker at depth: 10
% 0.10/0.37 % launching worker at depth: 11
% 0.14/0.39 % launching worker at depth: 12
% 3.44/0.87 % launching worker at depth: 13
% 24.11/3.44 % SZS status Theorem for theBenchmark
% 24.11/3.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------