%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL045-1 : 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 : n009.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 12:13:05 PM UTC 2026
% Result : Unsatisfiable 3.53s 0.82s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_46ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(6,plain,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
inference(cnf,[status(esa)],[prove_cn_46]) ).
cnf(l0,plain,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
inference(instantiation,[status(thm)],[6]) ).
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(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))))
| ~ is_a_theorem(implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(a,b),implies(not(b),not(a)))))
| is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(not(a),implies(not(b),not(a))))
| ~ is_a_theorem(implies(implies(not(a),implies(not(b),not(a))),implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(a,b),implies(not(b),not(a))))))
| is_a_theorem(implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(a,b),implies(not(b),not(a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[cn_18]) ).
cnf(l4,plain,
is_a_theorem(implies(not(a),implies(not(b),not(a)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ is_a_theorem(implies(implies(a,b),implies(a,implies(not(b),not(a)))))
| ~ is_a_theorem(implies(implies(implies(a,b),implies(a,implies(not(b),not(a)))),implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a))))))
| is_a_theorem(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(not(a),implies(not(b),not(a))),implies(implies(a,b),implies(not(b),not(a))))))
| ~ is_a_theorem(implies(implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(not(a),implies(not(b),not(a))),implies(implies(a,b),implies(not(b),not(a))))),implies(implies(not(a),implies(not(b),not(a))),implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(a,b),implies(not(b),not(a)))))))
| is_a_theorem(implies(implies(not(a),implies(not(b),not(a))),implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(a,b),implies(not(b),not(a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(cnf,[status(esa)],[cn_21]) ).
cnf(l6,plain,
is_a_theorem(implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(not(a),implies(not(b),not(a))),implies(implies(a,b),implies(not(b),not(a)))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l7,plain,
is_a_theorem(implies(implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(not(a),implies(not(b),not(a))),implies(implies(a,b),implies(not(b),not(a))))),implies(implies(not(a),implies(not(b),not(a))),implies(implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(a,b),implies(not(b),not(a))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l10,plain,
( ~ is_a_theorem(implies(implies(a,implies(not(b),not(a))),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))))
| ~ is_a_theorem(implies(implies(implies(a,implies(not(b),not(a))),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(implies(a,b),implies(a,implies(not(b),not(a)))),implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))))))
| is_a_theorem(implies(implies(implies(a,b),implies(a,implies(not(b),not(a)))),implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(cnf,[status(esa)],[cn_22]) ).
cnf(l11,plain,
is_a_theorem(implies(implies(implies(a,implies(not(b),not(a))),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a)))),implies(implies(implies(a,b),implies(a,implies(not(b),not(a)))),implies(implies(a,b),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a))))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l13,plain,
( ~ is_a_theorem(implies(b,implies(not(b),not(a))))
| ~ is_a_theorem(implies(implies(b,implies(not(b),not(a))),implies(implies(a,b),implies(a,implies(not(b),not(a))))))
| is_a_theorem(implies(implies(a,b),implies(a,implies(not(b),not(a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
is_a_theorem(implies(implies(b,implies(not(b),not(a))),implies(implies(a,b),implies(a,implies(not(b),not(a)))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf,[status(esa)],[cn_3]) ).
cnf(l15,plain,
is_a_theorem(implies(b,implies(not(b),not(a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(cnf,[status(esa)],[cn_54]) ).
cnf(l12,plain,
is_a_theorem(implies(implies(a,implies(not(b),not(a))),implies(implies(not(a),implies(not(b),not(a))),implies(not(b),not(a))))),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l2,l5,l6,l7,l10,l11,l13,l14,l15,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL045-1 : 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 : n009.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 : Sat Sep 5 03:40:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % launching worker at depth: 1
% 0.09/0.36 % launching worker at depth: 6
% 0.09/0.36 % launching worker at depth: 3
% 0.09/0.36 % launching worker at depth: 4
% 0.09/0.36 % launching worker at depth: 5
% 0.09/0.36 % launching worker at depth: 8
% 0.09/0.36 % launching worker at depth: 7
% 0.09/0.36 % launching worker at depth: 2
% 0.09/0.36 % launching worker at depth: 9
% 0.09/0.36 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 3.53/0.82 % SZS status Theorem for theBenchmark
% 3.53/0.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------