%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL010-1 : 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 : n005.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 12:13:02 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_yqlERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
inference(cnf,[status(esa)],[prove_yql]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
inference(cnf,[status(esa)],[yqf]) ).
cnf(l2,plain,
is_a_theorem(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l20,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l21,plain,
is_a_theorem(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l11,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b)))),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(c,X2_21),equivalent(X2_21,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l13,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(c,b),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(c,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l20,l21,l5,l7,l6,l8,l16,l14,l10,l12,l11,l9,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL010-1 : 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
% 0.11/0.35 % Computer : n005.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sat Sep 5 12:40:05 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 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: 4
% 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: 8
% 0.13/0.36 % launching worker at depth: 2
% 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
% 0.13/0.36 % launching worker at depth: 12
% 0.13/0.42 % launching worker at depth: 13
% 0.13/0.47 % SZS status Theorem for theBenchmark
% 0.13/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------