%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 192.83s 24.59s
% Output : CNFRefutation 192.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ec_5ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))),
inference(cnf,[status(esa)],[prove_ec_5]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))),
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(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l20,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
inference(cnf,[status(esa)],[yql]) ).
cnf(l26,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),a))))
| is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),a),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l34,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l22,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l28,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l29,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l36,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),a),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),a),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l30,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(b,c)),a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l51,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l54,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l50,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),a),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l56,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l52,plain,
( ~ is_a_theorem(equivalent(equivalent(a,a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l57,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,c)),a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c)))),equivalent(equivalent(a,a),equivalent(equivalent(a,equivalent(b,c)),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l53,plain,
is_a_theorem(equivalent(equivalent(a,a),equivalent(equivalent(equivalent(b,c),a),equivalent(a,equivalent(b,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l18,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(a,equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l31,plain,
( ~ is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l32,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l33,plain,
is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l20,l5,l24,l26,l6,l25,l15,l7,l14,l2,l19,l34,l22,l21,l28,l29,l36,l30,l23,l27,l51,l54,l50,l56,l52,l57,l55,l53,l18,l31,l32,l33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 5 03:00:27 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % launching worker at depth: 1
% 0.03/0.30 % launching worker at depth: 7
% 0.03/0.30 % launching worker at depth: 3
% 0.03/0.30 % launching worker at depth: 4
% 0.03/0.30 % launching worker at depth: 5
% 0.03/0.30 % launching worker at depth: 6
% 0.03/0.30 % launching worker at depth: 2
% 0.03/0.30 % launching worker at depth: 8
% 0.03/0.30 % launching worker at depth: 9
% 0.03/0.30 % launching worker at depth: 10
% 0.03/0.30 % launching worker at depth: 11
% 0.03/0.31 % launching worker at depth: 12
% 1.26/0.47 % launching worker at depth: 13
% 192.83/24.59 % SZS status Theorem for theBenchmark
% 192.83/24.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------