%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL118-1 : 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 : 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 12:13:13 PM UTC 2026
% Result : Unsatisfiable 1.04s 0.57s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_yqmERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
inference(cnf,[status(esa)],[prove_yqm]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,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,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))
| is_a_theorem(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l34,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))),
inference(cnf,[status(esa)],[wo]) ).
cnf(l51,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l35,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))
| is_a_theorem(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l39,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l36,plain,
is_a_theorem(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l50,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l59,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l58,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(b,equivalent(a,equivalent(c,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))),equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l16,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))),equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l34,l51,l35,l39,l36,l50,l5,l7,l6,l4,l59,l58,l15,l17,l14,l18,l16,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL118-1 : 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
% 0.08/0.34 % Computer : n028.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 15:19:29 UTC 2026
% 0.08/0.34 % 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: 2
% 0.08/0.35 % launching worker at depth: 8
% 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: 9
% 0.08/0.35 % launching worker at depth: 10
% 0.08/0.35 % launching worker at depth: 11
% 0.08/0.36 % launching worker at depth: 12
% 0.13/0.39 % launching worker at depth: 13
% 1.04/0.57 % SZS status Theorem for theBenchmark
% 1.04/0.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------