%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL130-1 : 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 : n010.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 12:13:14 PM UTC 2026
% Result : Unsatisfiable 1.07s 0.60s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_lg_2ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(cnf,[status(esa)],[prove_lg_2]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
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(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))
| is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X0)),
inference(cnf,[status(esa)],[p_4]) ).
cnf(l14,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))
| is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_7,X2_7),equivalent(equivalent(X1_7,X3_7),equivalent(X2_7,X3_7)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l35,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l44,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l37,plain,
is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l48,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l34,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l49,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),equivalent(equivalent(X1_49,X2_49),equivalent(equivalent(X1_49,X3_49),equivalent(X2_49,X3_49)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l50,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l53,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l54,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l58,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l59,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(X1_4,X2_4),equivalent(equivalent(X1_4,X3_4),equivalent(X2_4,X3_4)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(X1_55,X2_55),equivalent(equivalent(X1_55,X3_55),equivalent(X2_55,X3_55)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l6,l14,l2,l7,l15,l4,l35,l36,l44,l47,l37,l48,l34,l49,l50,l53,l54,l58,l55,l59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL130-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 18:00:09 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.13/0.36 % launching worker at depth: 12
% 0.13/0.41 % launching worker at depth: 13
% 1.07/0.60 % SZS status Theorem for theBenchmark
% 1.07/0.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------