%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL076-3 : 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 : n014.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 31.87s 4.47s
% Output : CNFRefutation 31.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_40ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(cnf,[status(esa)],[prove_cn_40]) ).
cnf(l0,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(cnf,[status(esa)],[transitivity]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(a,implies(not(not(not(a))),a)))
| ~ is_a_theorem(implies(implies(not(not(not(a))),a),not(not(a))))
| is_a_theorem(implies(a,not(not(a)))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(not(not(not(a))),a),implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))))
| ~ is_a_theorem(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(a))))
| is_a_theorem(implies(implies(not(not(not(a))),a),not(not(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(l5,plain,
( ~ is_a_theorem(implies(X0_6,implies(X1_6,X0_6)))
| ~ is_a_theorem(implies(implies(X0_6,implies(X1_6,X0_6)),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(a)))))
| is_a_theorem(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[cn_18]) ).
cnf(l6,plain,
is_a_theorem(implies(X0_6,implies(X1_6,X0_6))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
is_a_theorem(implies(a,implies(not(not(not(a))),a))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ is_a_theorem(implies(implies(X0_6,implies(X1_6,X0_6)),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))
| ~ is_a_theorem(implies(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(a)))))
| is_a_theorem(implies(implies(X0_6,implies(X1_6,X0_6)),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(a))))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l8,plain,
( ~ is_a_theorem(implies(implies(X0_6,implies(X1_6,X0_6)),implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))
| ~ is_a_theorem(implies(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))
| is_a_theorem(implies(implies(X0_6,implies(X1_6,X0_6)),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l12,plain,
is_a_theorem(implies(implies(X0_6,implies(X1_6,X0_6)),implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(not(not(not(a))),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))))
| ~ is_a_theorem(implies(implies(not(not(not(a))),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))),implies(implies(not(not(not(a))),a),implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))))
| is_a_theorem(implies(implies(not(not(not(a))),a),implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
( ~ is_a_theorem(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))),not(not(a)))))
| ~ is_a_theorem(implies(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))),not(not(a)))),implies(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(a))))))
| is_a_theorem(implies(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(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(l11,plain,
is_a_theorem(implies(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))),not(not(a)))),implies(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(not(a)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf,[status(esa)],[cn_49]) ).
cnf(l10,plain,
is_a_theorem(implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))),not(not(a))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
is_a_theorem(implies(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))),implies(implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
is_a_theorem(implies(implies(not(not(not(a))),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))),implies(implies(not(not(not(a))),a),implies(not(not(not(a))),not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l23,plain,
( ~ is_a_theorem(implies(not(not(not(a))),implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))))))
| ~ is_a_theorem(implies(implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))))
| is_a_theorem(implies(not(not(not(a))),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l24,plain,
( ~ is_a_theorem(implies(implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),implies(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(a))))
| ~ is_a_theorem(implies(implies(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(a)),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))))
| is_a_theorem(implies(implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l26,plain,
is_a_theorem(implies(implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),implies(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(a)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l25,plain,
( ~ is_a_theorem(implies(not(not(not(a))),implies(not(not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),not(not(not(a))))))
| ~ is_a_theorem(implies(implies(not(not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),not(not(not(a)))),implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6)))))))))
| is_a_theorem(implies(not(not(not(a))),implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l27,plain,
is_a_theorem(implies(implies(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))),not(a)),implies(a,not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l28,plain,
is_a_theorem(implies(implies(not(not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),not(not(not(a)))),implies(not(not(a)),not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l29,plain,
is_a_theorem(implies(not(not(not(a))),implies(not(not(not(not(implies(X1_12,implies(X0_6,implies(X1_6,X0_6))))))),not(not(not(a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l6,l2,l7,l8,l12,l4,l9,l11,l10,l13,l20,l23,l24,l26,l25,l27,l28,l29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 23:08:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 0.90/0.56 % launching worker at depth: 12
% 31.87/4.47 % SZS status Theorem for theBenchmark
% 31.87/4.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------