%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL358-1 : 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 : 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 12:13:38 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.33s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_cn_07ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
inference(cnf,[status(esa)],[prove_cn_07]) ).
cnf(l0,plain,
~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
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(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))))
| ~ is_a_theorem(implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))
| is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))) ),
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(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))
| ~ is_a_theorem(implies(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))))
| is_a_theorem(implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))))
| is_a_theorem(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( ~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u)))))
| ~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),u)),implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u)))),implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u)))),implies(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))))
| is_a_theorem(implies(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
( ~ is_a_theorem(implies(implies(y,v),implies(implies(v,z),implies(y,z))))
| ~ is_a_theorem(implies(implies(implies(y,v),implies(implies(v,z),implies(y,z))),implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))))))
| is_a_theorem(implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
is_a_theorem(implies(implies(implies(y,v),implies(implies(v,z),implies(y,z))),implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
( ~ is_a_theorem(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))
| ~ is_a_theorem(implies(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
is_a_theorem(implies(implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u)))),implies(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(implies(v,z),implies(y,z)),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
is_a_theorem(implies(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
is_a_theorem(implies(implies(y,v),implies(implies(v,z),implies(y,z)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
is_a_theorem(implies(implies(implies(x,implies(implies(y,z),u)),implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u)))),implies(implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))),implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l11,plain,
is_a_theorem(implies(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u))),implies(implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))),implies(implies(y,v),implies(x,implies(implies(v,z),u)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(implies(implies(y,z),u),implies(implies(v,z),u)),implies(x,implies(implies(v,z),u))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l7,l5,l13,l15,l6,l12,l10,l14,l9,l11,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL358-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 % Computer : n012.cluster.edu
% 0.02/0.28 % Model : x86_64 x86_64
% 0.02/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.28 % Memory : 8046.5625MB
% 0.02/0.28 % OS : Linux 6.8.0-71-generic
% 0.02/0.28 % CPULimit : 300
% 0.02/0.28 % WCLimit : 300
% 0.02/0.28 % DateTime : Sat Sep 5 02:54:12 UTC 2026
% 0.02/0.28 % CPUTime :
% 0.02/0.29 % launching worker at depth: 1
% 0.02/0.29 % launching worker at depth: 6
% 0.02/0.29 % launching worker at depth: 2
% 0.02/0.29 % launching worker at depth: 4
% 0.02/0.29 % launching worker at depth: 5
% 0.02/0.29 % launching worker at depth: 7
% 0.02/0.29 % launching worker at depth: 3
% 0.02/0.29 % launching worker at depth: 8
% 0.02/0.29 % launching worker at depth: 9
% 0.02/0.29 % launching worker at depth: 10
% 0.02/0.29 % launching worker at depth: 11
% 0.02/0.33 % SZS status Theorem for theBenchmark
% 0.02/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------