%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL110-1 : 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 : n031.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 12:13:11 PM UTC 2026
% Result : Unsatisfiable 48.50s 6.52s
% Output : CNFRefutation 48.50s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_mv_24ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(cnf,[status(esa)],[prove_mv_24]) ).
cnf(l0,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(instantiation,[status(thm)],[5]) ).
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(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a))
| ~ is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(not(not(a)),a)))
| is_a_theorem(implies(not(not(a)),a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a)))
| ~ is_a_theorem(implies(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a)),implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(not(not(a)),a))))
| is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(not(not(a)),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a)))
| ~ is_a_theorem(implies(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a)),implies(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a)),implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(not(not(a)),a)))))
| is_a_theorem(implies(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a)),implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(not(not(a)),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf,[status(esa)],[mv_2]) ).
cnf(l7,plain,
is_a_theorem(implies(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a)),implies(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a)),implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(not(not(a)),a))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
( ~ is_a_theorem(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))))))
| ~ is_a_theorem(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))))),implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a))))
| is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a))
| ~ is_a_theorem(implies(implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a),implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a)))
| is_a_theorem(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
is_a_theorem(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))))),implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a),implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a)))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a)))),implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a))))
| is_a_theorem(implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
( ~ is_a_theorem(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a)))
| ~ is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a)),implies(implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a),implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a))))
| is_a_theorem(implies(implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a),implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
is_a_theorem(implies(implies(not(not(a)),implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a)))),implies(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),a),implies(not(not(a)),a)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf,[status(esa)],[mv_5]) ).
cnf(l11,plain,
is_a_theorem(implies(implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))),implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[mv_1]) ).
cnf(l12,plain,
is_a_theorem(implies(not(not(a)),implies(not(not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),not(not(a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l26,plain,
is_a_theorem(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l27,plain,
is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a)),implies(implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a),implies(implies(not(a),not(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))),a)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l19,plain,
( ~ is_a_theorem(implies(implies(a,implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))))
| ~ is_a_theorem(implies(implies(implies(a,implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a)))
| is_a_theorem(implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
( ~ is_a_theorem(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))
| ~ is_a_theorem(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),implies(implies(a,implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))))
| is_a_theorem(implies(implies(a,implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(cnf,[status(esa)],[mv_3]) ).
cnf(l20,plain,
is_a_theorem(implies(implies(implies(a,implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),a),a))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l23,plain,
is_a_theorem(implies(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22)),implies(implies(a,implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l22,plain,
is_a_theorem(implies(implies(not(X0_22),not(X1_22)),implies(X1_22,X0_22))),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l7,l6,l2,l10,l4,l18,l13,l11,l12,l26,l27,l19,l21,l20,l23,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL110-1 : 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
% 0.09/0.38 % Computer : n031.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 5 21:42:40 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % launching worker at depth: 1
% 0.09/0.38 % launching worker at depth: 8
% 0.09/0.38 % launching worker at depth: 3
% 0.09/0.38 % launching worker at depth: 2
% 0.09/0.38 % launching worker at depth: 4
% 0.09/0.38 % launching worker at depth: 5
% 0.09/0.38 % launching worker at depth: 6
% 0.09/0.38 % launching worker at depth: 7
% 0.09/0.38 % launching worker at depth: 9
% 0.09/0.39 % launching worker at depth: 10
% 0.09/0.39 % launching worker at depth: 11
% 0.98/0.50 % launching worker at depth: 12
% 48.50/6.52 % SZS status Theorem for theBenchmark
% 48.50/6.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------