%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 53.25s 7.14s
% Output : CNFRefutation 53.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ec_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
inference(cnf,[status(esa)],[prove_ec_1]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
inference(instantiation,[status(thm)],[3]) ).
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(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(cnf,[status(esa)],[ec_4]) ).
cnf(l5,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
inference(cnf,[status(esa)],[ec_5]) ).
cnf(l6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l20,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l26,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l27,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l22,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l25,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l24,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l4,l6,l2,l19,l7,l18,l20,l26,l21,l27,l23,l22,l25,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n028.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 11:22:44 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % launching worker at depth: 1
% 0.07/0.35 % launching worker at depth: 2
% 0.07/0.35 % launching worker at depth: 3
% 0.07/0.35 % launching worker at depth: 4
% 0.07/0.35 % launching worker at depth: 5
% 0.07/0.35 % launching worker at depth: 6
% 0.07/0.35 % launching worker at depth: 7
% 0.07/0.35 % launching worker at depth: 8
% 0.07/0.35 % launching worker at depth: 9
% 0.07/0.36 % launching worker at depth: 10
% 0.07/0.37 % launching worker at depth: 11
% 2.39/0.68 % launching worker at depth: 12
% 53.25/7.14 % SZS status Theorem for theBenchmark
% 53.25/7.14 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------