%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL008-1 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:13:01 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ec_4ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
inference(cnf,[status(esa)],[prove_ec_4]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))) ),
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(l2,plain,
is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l22,plain,
( ~ is_a_theorem(equivalent(equivalent(b,b),equivalent(equivalent(a,b),equivalent(b,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),equivalent(equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l26,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b))),equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))
| is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l28,plain,
( ~ is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,X1_31),equivalent(b,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,X1_31),equivalent(b,b))),equivalent(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b))),equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b))),equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l32,plain,
is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,X1_31),equivalent(b,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l29,plain,
( ~ is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l16,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l30,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
is_a_theorem(equivalent(equivalent(b,b),equivalent(equivalent(a,b),equivalent(b,a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l33,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(b,X1_31),equivalent(b,b))),equivalent(equivalent(equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(equivalent(b,X1_31),equivalent(b,b))),equivalent(equivalent(b,X1_31),equivalent(equivalent(b,b),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l31,plain,
is_a_theorem(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l18,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)),equivalent(equivalent(equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31)),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(a,b),equivalent(b,a))),equivalent(equivalent(equivalent(b,X1_31),equivalent(equivalent(X2_31,X1_31),equivalent(b,X2_31))),equivalent(b,X1_31)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l21,l23,l5,l7,l22,l6,l8,l10,l26,l20,l28,l14,l15,l19,l32,l29,l17,l16,l30,l27,l33,l31,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL008-1 : 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
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 22:43:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 8
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.37 % launching worker at depth: 10
% 0.10/0.37 % launching worker at depth: 11
% 0.10/0.38 % launching worker at depth: 12
% 0.10/0.42 % SZS status Theorem for theBenchmark
% 0.10/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------