%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL102-1 : 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 : n013.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 12:13:10 PM UTC 2026
% Result : Unsatisfiable 12.30s 2.01s
% Output : CNFRefutation 12.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_p_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(cnf,[status(esa)],[prove_p_1]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(instantiation,[status(thm)],[4]) ).
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(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))
| ~ is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
inference(cnf,[status(esa)],[q_1]) ).
cnf(l2,plain,
is_a_theorem(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(cnf,[status(esa)],[q_2]) ).
cnf(l4,plain,
is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l25,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l26,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l27,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l29,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(cnf,[status(esa)],[lg_2]) ).
cnf(l28,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l33,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l39,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l30,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l38,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l32,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l40,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l41,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l31,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l37,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(a,b)),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(e,a),equivalent(e,b)),equivalent(equivalent(e,a),equivalent(equivalent(a,e),c))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4,l5,l24,l25,l26,l27,l29,l28,l33,l39,l30,l38,l32,l36,l40,l41,l31,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 17:51:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % launching worker at depth: 1
% 0.08/0.35 % launching worker at depth: 6
% 0.08/0.35 % launching worker at depth: 3
% 0.08/0.35 % launching worker at depth: 4
% 0.08/0.35 % launching worker at depth: 5
% 0.08/0.35 % launching worker at depth: 7
% 0.08/0.35 % launching worker at depth: 8
% 0.08/0.35 % launching worker at depth: 2
% 0.08/0.35 % launching worker at depth: 9
% 0.08/0.35 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 7.52/1.39 % launching worker at depth: 12
% 12.30/2.01 % SZS status Theorem for theBenchmark
% 12.30/2.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------