%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL356-1 : 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 : n018.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 12:13:38 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.36s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_05ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),
inference(cnf,[status(esa)],[prove_cn_05]) ).
cnf(l0,plain,
~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),
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(u,y),implies(implies(y,z),implies(u,z))))
| ~ is_a_theorem(implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))))
| is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))) ),
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(l2,plain,
is_a_theorem(implies(implies(u,y),implies(implies(y,z),implies(u,z)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z)))))))
| is_a_theorem(implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z)))))
| ~ is_a_theorem(implies(implies(implies(x,implies(y,z)),implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z)))),implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z)))))))
| is_a_theorem(implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z))))))
| ~ is_a_theorem(implies(implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z))))),implies(implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
is_a_theorem(implies(implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z))))),implies(implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
is_a_theorem(implies(implies(implies(x,implies(y,z)),implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z)))),implies(implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))),implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
is_a_theorem(implies(implies(implies(u,y),implies(implies(y,z),implies(u,z))),implies(implies(implies(implies(y,z),implies(u,z)),implies(x,implies(u,z))),implies(implies(u,y),implies(x,implies(u,z)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l7,l9,l6,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL356-1 : 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 : n018.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 09:19:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % launching worker at depth: 1
% 0.10/0.36 % launching worker at depth: 3
% 0.10/0.36 % launching worker at depth: 7
% 0.10/0.36 % launching worker at depth: 8
% 0.10/0.36 % launching worker at depth: 5
% 0.10/0.36 % launching worker at depth: 6
% 0.10/0.36 % launching worker at depth: 2
% 0.10/0.36 % launching worker at depth: 4
% 0.10/0.36 % launching worker at depth: 9
% 0.10/0.36 % launching worker at depth: 10
% 0.10/0.36 % SZS status Theorem for theBenchmark
% 0.10/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------