%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL072-1 : 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 : n013.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 2.78s 0.74s
% Output : CNFRefutation 2.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_3ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(implies(a,implies(not(a),b))),
inference(cnf,[status(esa)],[prove_cn_3]) ).
cnf(l0,plain,
~ is_a_theorem(implies(a,implies(not(a),b))),
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(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))))
| ~ is_a_theorem(implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b))))
| is_a_theorem(implies(a,implies(not(a),b))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b)))))
| is_a_theorem(implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(not(a),b),implies(a,implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b))))))
| is_a_theorem(implies(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
( ~ is_a_theorem(implies(implies(implies(X0_14,a),implies(not(a),b)),implies(a,implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_14,a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),b),implies(a,implies(not(a),b)))))
| is_a_theorem(implies(implies(not(a),b),implies(a,implies(not(a),b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(cnf,[status(esa)],[cn_19]) ).
cnf(l4,plain,
is_a_theorem(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
is_a_theorem(implies(implies(implies(implies(X0_14,a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),b),implies(a,implies(not(a),b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
is_a_theorem(implies(implies(implies(X0_14,a),implies(not(a),b)),implies(a,implies(not(a),b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ is_a_theorem(implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)))))
| is_a_theorem(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
( ~ is_a_theorem(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(not(not(a)),implies(a,implies(not(a),b)))))
| ~ is_a_theorem(implies(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(not(not(a)),implies(a,implies(not(a),b)))),implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b)))))))
| is_a_theorem(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
inference(cnf,[status(esa)],[cn_60]) ).
cnf(l16,plain,
is_a_theorem(implies(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(not(not(a)),implies(a,implies(not(a),b)))),implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(implies(implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(a,implies(not(a),b))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(cnf,[status(esa)],[cn_37]) ).
cnf(l20,plain,
is_a_theorem(implies(implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))),implies(not(a),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l17,plain,
is_a_theorem(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(not(not(a)),implies(a,implies(not(a),b))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l18,plain,
( ~ is_a_theorem(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)))
| ~ is_a_theorem(implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)))))
| is_a_theorem(implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
is_a_theorem(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(not(implies(X0_21,not(a))),implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(not(implies(X0_21,not(a))),implies(not(a),b))),implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))))))
| is_a_theorem(implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l31,plain,
is_a_theorem(implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(not(implies(X0_21,not(a))),implies(not(a),b)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l30,plain,
is_a_theorem(implies(implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(not(implies(X0_21,not(a))),implies(not(a),b))),implies(implies(implies(implies(X0_21,not(a)),b),implies(not(a),b)),implies(implies(a,implies(not(a),b)),implies(implies(implies(X0_21,not(a)),a),implies(not(a),b)))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l13,l4,l15,l14,l2,l12,l16,l20,l17,l18,l21,l19,l31,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL072-1 : 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
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 10:03:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 % launching worker at depth: 1
% 0.14/0.36 % launching worker at depth: 7
% 0.14/0.36 % launching worker at depth: 2
% 0.14/0.36 % launching worker at depth: 3
% 0.14/0.36 % launching worker at depth: 5
% 0.14/0.36 % launching worker at depth: 8
% 0.14/0.36 % launching worker at depth: 6
% 0.14/0.36 % launching worker at depth: 4
% 0.14/0.36 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 0.14/0.36 % launching worker at depth: 11
% 0.14/0.39 % launching worker at depth: 12
% 2.78/0.74 % SZS status Theorem for theBenchmark
% 2.78/0.74 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------