%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% 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 12:13:39 PM UTC 2026
% Result : Unsatisfiable 3.56s 0.83s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_11ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
inference(cnf,[status(esa)],[prove_cn_11]) ).
cnf(l0,plain,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),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(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))
| ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))
| is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),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(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(not(implies(implies(not(y),y),y)),x))
| ~ is_a_theorem(implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))))
| is_a_theorem(implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(implies(not(y),y),y))
| ~ is_a_theorem(implies(implies(implies(not(y),y),y),implies(not(implies(implies(not(y),y),y)),x)))
| is_a_theorem(implies(not(implies(implies(not(y),y),y)),x)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))))
| ~ is_a_theorem(implies(implies(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))))
| is_a_theorem(implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf,[status(esa)],[cn_3]) ).
cnf(l6,plain,
is_a_theorem(implies(implies(implies(not(y),y),y),implies(not(implies(implies(not(y),y),y)),x))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l7,plain,
is_a_theorem(implies(implies(not(y),y),y)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l12,plain,
( ~ is_a_theorem(implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))))
| ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),implies(implies(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))))))
| is_a_theorem(implies(implies(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),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(l13,plain,
is_a_theorem(implies(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l16,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),implies(implies(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l17,plain,
is_a_theorem(implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l12,l13,l16,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n031.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 21:55:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % launching worker at depth: 1
% 0.09/0.35 % launching worker at depth: 7
% 0.09/0.35 % launching worker at depth: 3
% 0.09/0.35 % launching worker at depth: 4
% 0.09/0.35 % launching worker at depth: 5
% 0.09/0.35 % launching worker at depth: 6
% 0.09/0.35 % launching worker at depth: 2
% 0.09/0.35 % launching worker at depth: 8
% 0.09/0.36 % launching worker at depth: 9
% 0.09/0.36 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 1.13/0.50 % launching worker at depth: 12
% 3.56/0.83 % SZS status Theorem for theBenchmark
% 3.56/0.83 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------