%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 12:13:43 PM UTC 2026
% Result : Unsatisfiable 136.39s 17.65s
% Output : CNFRefutation 136.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_63ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(implies(x,implies(y,y))),
inference(cnf,[status(esa)],[prove_cn_63]) ).
cnf(l0,plain,
~ is_a_theorem(implies(x,implies(y,y))),
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(implies(not(implies(y,y)),implies(y,y)),implies(y,y)))
| ~ is_a_theorem(implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y))))
| is_a_theorem(implies(x,implies(y,y))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf,[status(esa)],[cn_2]) ).
cnf(l2,plain,
is_a_theorem(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))))
| ~ is_a_theorem(implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))))
| is_a_theorem(implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(y,y))
| ~ is_a_theorem(implies(implies(y,y),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))))
| is_a_theorem(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(x,implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))))
| ~ is_a_theorem(implies(implies(implies(x,implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))),implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y))))))
| is_a_theorem(implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf,[status(esa)],[cn_1]) ).
cnf(l21,plain,
is_a_theorem(implies(implies(x,implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
( ~ is_a_theorem(implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(x,implies(not(implies(y,y)),implies(y,y)))))
| ~ is_a_theorem(implies(implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(x,implies(not(implies(y,y)),implies(y,y)))),implies(implies(implies(x,implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))),implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))))))
| is_a_theorem(implies(implies(implies(x,implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))),implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
( ~ is_a_theorem(implies(x,implies(not(x),implies(y,y))))
| ~ is_a_theorem(implies(implies(x,implies(not(x),implies(y,y))),implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(x,implies(not(implies(y,y)),implies(y,y))))))
| is_a_theorem(implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(x,implies(not(implies(y,y)),implies(y,y))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( ~ is_a_theorem(implies(implies(not(y),y),y))
| ~ is_a_theorem(implies(implies(implies(not(y),y),y),implies(y,y)))
| is_a_theorem(implies(y,y)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l26,plain,
is_a_theorem(implies(implies(x,implies(not(x),implies(y,y))),implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(x,implies(not(implies(y,y)),implies(y,y)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf,[status(esa)],[cn_3]) ).
cnf(l28,plain,
is_a_theorem(implies(x,implies(not(x),implies(y,y)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l24,plain,
is_a_theorem(implies(implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(x,implies(not(implies(y,y)),implies(y,y)))),implies(implies(implies(x,implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y)))),implies(implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))),implies(implies(implies(not(implies(y,y)),implies(y,y)),implies(y,y)),implies(x,implies(y,y))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
( ~ is_a_theorem(implies(y,implies(not(y),y)))
| ~ is_a_theorem(implies(implies(y,implies(not(y),y)),implies(implies(implies(not(y),y),y),implies(y,y))))
| is_a_theorem(implies(implies(implies(not(y),y),y),implies(y,y))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
is_a_theorem(implies(implies(not(y),y),y)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l11,plain,
is_a_theorem(implies(implies(y,implies(not(y),y)),implies(implies(implies(not(y),y),y),implies(y,y)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
( ~ is_a_theorem(implies(implies(not(implies(y,y)),not(x)),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))))
| ~ is_a_theorem(implies(implies(implies(not(implies(y,y)),not(x)),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))),implies(implies(y,y),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))))))
| is_a_theorem(implies(implies(y,y),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
is_a_theorem(implies(implies(not(implies(y,y)),not(x)),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
is_a_theorem(implies(y,implies(not(y),y))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l15,plain,
( ~ is_a_theorem(implies(implies(y,y),implies(not(implies(y,y)),not(x))))
| ~ is_a_theorem(implies(implies(implies(y,y),implies(not(implies(y,y)),not(x))),implies(implies(implies(not(implies(y,y)),not(x)),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))),implies(implies(y,y),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))))))
| is_a_theorem(implies(implies(implies(not(implies(y,y)),not(x)),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))),implies(implies(y,y),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
is_a_theorem(implies(implies(y,y),implies(not(implies(y,y)),not(x)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l16,plain,
is_a_theorem(implies(implies(implies(y,y),implies(not(implies(y,y)),not(x))),implies(implies(implies(not(implies(y,y)),not(x)),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y)))),implies(implies(y,y),implies(implies(not(x),implies(y,y)),implies(not(implies(y,y)),implies(y,y))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l21,l20,l25,l7,l26,l28,l24,l9,l8,l11,l6,l14,l10,l15,l17,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n029.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 18:44:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 7
% 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: 6
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.13/0.45 % launching worker at depth: 12
% 118.35/15.38 % launching worker at depth: 13
% 136.39/17.65 % SZS status Theorem for theBenchmark
% 136.39/17.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------