%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL064-2 : 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 : n012.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 12:13:06 PM UTC 2026
% Result : Unsatisfiable 22.37s 3.14s
% Output : CNFRefutation 22.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf,[status(esa)],[prove_cn_1]) ).
cnf(l0,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(instantiation,[status(thm)],[3]) ).
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(b,c),implies(a,b))))
| ~ is_a_theorem(implies(implies(implies(a,b),implies(implies(b,c),implies(a,b))),implies(implies(a,b),implies(implies(b,c),implies(a,c)))))
| is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))
| ~ is_a_theorem(implies(implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(a,b),implies(implies(b,c),implies(a,b))),implies(implies(a,b),implies(implies(b,c),implies(a,c))))))
| is_a_theorem(implies(implies(implies(a,b),implies(implies(b,c),implies(a,b))),implies(implies(a,b),implies(implies(b,c),implies(a,c))))) ),
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(l5,plain,
is_a_theorem(implies(implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(a,b),implies(implies(b,c),implies(a,b))),implies(implies(a,b),implies(implies(b,c),implies(a,c)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[cn_18]) ).
cnf(l2,plain,
is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c))))
| ~ is_a_theorem(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))
| is_a_theorem(implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ is_a_theorem(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))))
| ~ is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))))
| is_a_theorem(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l53,plain,
( ~ is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))))
| is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ is_a_theorem(implies(implies(b,c),implies(a,implies(b,c))))
| ~ is_a_theorem(implies(implies(implies(b,c),implies(a,implies(b,c))),implies(implies(b,c),implies(implies(a,b),implies(a,c)))))
| is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l55,plain,
( ~ is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))),implies(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))))))
| is_a_theorem(implies(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l57,plain,
is_a_theorem(implies(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))),implies(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l52,plain,
( ~ is_a_theorem(implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))))
| is_a_theorem(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
is_a_theorem(implies(implies(b,c),implies(a,implies(b,c)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l54,plain,
( ~ is_a_theorem(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))
| ~ is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))))
| is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l60,plain,
is_a_theorem(implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l12,plain,
( ~ is_a_theorem(implies(implies(b,c),implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))))
| ~ is_a_theorem(implies(implies(implies(b,c),implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),implies(implies(implies(b,c),implies(a,implies(b,c))),implies(implies(b,c),implies(implies(a,b),implies(a,c))))))
| is_a_theorem(implies(implies(implies(b,c),implies(a,implies(b,c))),implies(implies(b,c),implies(implies(a,b),implies(a,c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l56,plain,
is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l58,plain,
is_a_theorem(implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))),implies(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l61,plain,
is_a_theorem(implies(implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))),implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))),implies(implies(a,b),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
( ~ is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))
| ~ is_a_theorem(implies(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))),implies(implies(b,c),implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))))
| is_a_theorem(implies(implies(b,c),implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l59,plain,
is_a_theorem(implies(implies(implies(b,c),implies(implies(a,b),implies(a,c))),implies(implies(implies(b,c),implies(a,b)),implies(implies(b,c),implies(a,c))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l15,plain,
is_a_theorem(implies(implies(implies(b,c),implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),implies(implies(implies(b,c),implies(a,implies(b,c))),implies(implies(b,c),implies(implies(a,b),implies(a,c)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l33,plain,
is_a_theorem(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l32,plain,
is_a_theorem(implies(implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c))),implies(implies(b,c),implies(implies(a,implies(b,c)),implies(implies(a,b),implies(a,c)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2,l4,l6,l53,l8,l55,l57,l52,l9,l54,l60,l12,l56,l58,l61,l27,l59,l15,l33,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Fri Sep 4 22:26:42 UTC 2026
% 0.04/0.29 % CPUTime :
% 0.04/0.29 % launching worker at depth: 1
% 0.04/0.29 % launching worker at depth: 6
% 0.04/0.29 % launching worker at depth: 2
% 0.04/0.29 % launching worker at depth: 3
% 0.04/0.29 % launching worker at depth: 5
% 0.04/0.29 % launching worker at depth: 7
% 0.04/0.29 % launching worker at depth: 4
% 0.04/0.29 % launching worker at depth: 8
% 0.04/0.29 % launching worker at depth: 9
% 0.04/0.29 % launching worker at depth: 10
% 0.04/0.30 % launching worker at depth: 11
% 0.04/0.32 % launching worker at depth: 12
% 9.50/1.56 % launching worker at depth: 13
% 22.37/3.14 % SZS status Theorem for theBenchmark
% 22.37/3.14 % SZS output start CNFRefutation
% See solution above
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