%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL077-1 : 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 : n029.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 12:13:07 PM UTC 2026
% Result : Unsatisfiable 185.56s 23.72s
% Output : CNFRefutation 185.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_39ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(cnf,[status(esa)],[prove_cn_39]) ).
cnf(l0,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(X1_2,not(not(a)))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))
| is_a_theorem(implies(not(not(a)),a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[cn_18]) ).
cnf(l2,plain,
is_a_theorem(implies(not(not(a)),implies(X1_2,not(not(a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))))
| is_a_theorem(implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a))))
| ~ is_a_theorem(implies(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))))
| is_a_theorem(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(not(not(implies(X1_2,not(not(a))))),not(not(a)))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(not(not(implies(X1_2,not(not(a))))),not(not(a)))),implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a))))))))
| is_a_theorem(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)))))
| is_a_theorem(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
is_a_theorem(implies(not(not(a)),implies(not(not(implies(X1_2,not(not(a))))),not(not(a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
( ~ is_a_theorem(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))))
| ~ is_a_theorem(implies(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))),implies(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))))))
| is_a_theorem(implies(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf,[status(esa)],[cn_35]) ).
cnf(l24,plain,
is_a_theorem(implies(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))),implies(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l22,plain,
( ~ is_a_theorem(implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))))
| ~ is_a_theorem(implies(implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))))))
| is_a_theorem(implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l29,plain,
is_a_theorem(implies(implies(not(not(a)),implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(X1_2,not(not(a))),a))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a))))))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a))))))),implies(implies(not(not(a)),implies(not(not(implies(X1_2,not(not(a))))),not(not(a)))),implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))))))
| is_a_theorem(implies(implies(not(not(a)),implies(not(not(implies(X1_2,not(not(a))))),not(not(a)))),implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
is_a_theorem(implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l13,plain,
is_a_theorem(implies(implies(not(not(a)),implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a))))))),implies(implies(not(not(a)),implies(not(not(implies(X1_2,not(not(a))))),not(not(a)))),implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a))))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l23,plain,
is_a_theorem(implies(implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a))),implies(implies(not(not(a)),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(implies(not(not(a)),implies(implies(X1_2,not(not(a))),a)),implies(implies(not(not(a)),implies(X1_2,not(not(a)))),implies(not(not(a)),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l28,plain,
( ~ is_a_theorem(implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a)))
| ~ is_a_theorem(implies(implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a)),implies(not(not(a)),implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a)))))
| is_a_theorem(implies(not(not(a)),implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l33,plain,
is_a_theorem(implies(implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a)),implies(not(not(a)),implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf,[status(esa)],[cn_49]) ).
cnf(l32,plain,
is_a_theorem(implies(implies(not(a),not(implies(X1_2,not(not(a))))),implies(implies(X1_2,not(not(a))),a))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l12,plain,
( ~ is_a_theorem(implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a)))))))
| ~ is_a_theorem(implies(implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a)))))))))
| is_a_theorem(implies(not(not(a)),implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
is_a_theorem(implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l17,plain,
is_a_theorem(implies(implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a)))))),implies(not(not(a)),implies(implies(not(not(implies(X1_2,not(not(a))))),not(not(a))),implies(not(a),not(implies(X1_2,not(not(a))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l4,l21,l7,l20,l24,l22,l29,l6,l25,l13,l23,l28,l33,l32,l12,l16,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL077-1 : 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
% 0.09/0.36 % Computer : n029.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 16:29:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % launching worker at depth: 1
% 0.09/0.37 % launching worker at depth: 6
% 0.09/0.37 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 4
% 0.09/0.37 % launching worker at depth: 5
% 0.09/0.37 % launching worker at depth: 2
% 0.09/0.37 % launching worker at depth: 7
% 0.09/0.37 % launching worker at depth: 8
% 0.09/0.37 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: 10
% 0.09/0.37 % launching worker at depth: 11
% 0.09/0.40 % launching worker at depth: 12
% 16.19/2.50 % launching worker at depth: 13
% 185.56/23.72 % SZS status Theorem for theBenchmark
% 185.56/23.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------