%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 12:13:31 PM UTC 2026
% Result : Unsatisfiable 39.01s 5.24s
% Output : CNFRefutation 39.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_xhnERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
inference(cnf,[status(esa)],[prove_xhn]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
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(equivalent(z,x),z),x))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))
| is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))),equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))))
| is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
inference(cnf,[status(esa)],[yql]) ).
cnf(l6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(z,x),z),x)))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),z),x)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))),equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l35,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(z,x),z),x))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(z,x),z),x))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l53,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l34,plain,
( ~ is_a_theorem(equivalent(equivalent(z,x),equivalent(z,x)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63)))))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l54,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l56,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l59,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l58,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l57,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l50,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(z,x),z),x)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(z,x),z),x)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l52,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(z,x),z),x))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)))))
| is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l51,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l55,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l62,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
( ~ is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x)))))
| is_a_theorem(equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x))))
| is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l28,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l22,plain,
is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l39,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))))))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
( ~ is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))),equivalent(equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l63,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l44,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l46,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l45,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l25,plain,
is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))),equivalent(equivalent(equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,x),equivalent(equivalent(equivalent(z,x),z),x)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l24,plain,
is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(x,x)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l43,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
( ~ is_a_theorem(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))),equivalent(equivalent(z,x),equivalent(z,x))))
| is_a_theorem(equivalent(equivalent(z,x),equivalent(z,x))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l48,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(X2_63,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),X2_63))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l41,plain,
is_a_theorem(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l37,plain,
( ~ is_a_theorem(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))),equivalent(equivalent(z,x),equivalent(z,x)))))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))),equivalent(equivalent(z,x),equivalent(z,x)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l40,plain,
is_a_theorem(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l38,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(X2_41,x),equivalent(z,X2_41))),equivalent(equivalent(z,x),equivalent(z,x))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l6,l2,l7,l35,l53,l34,l54,l56,l59,l58,l57,l50,l52,l4,l51,l55,l62,l20,l23,l28,l22,l39,l21,l63,l44,l46,l45,l27,l25,l24,l43,l36,l48,l41,l37,l40,l47,l38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Sat Sep 5 21:48:57 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % launching worker at depth: 1
% 0.02/0.30 % launching worker at depth: 4
% 0.02/0.30 % launching worker at depth: 3
% 0.02/0.30 % launching worker at depth: 8
% 0.02/0.30 % launching worker at depth: 2
% 0.02/0.30 % launching worker at depth: 5
% 0.02/0.30 % launching worker at depth: 6
% 0.02/0.30 % launching worker at depth: 7
% 0.02/0.30 % launching worker at depth: 9
% 0.02/0.30 % launching worker at depth: 10
% 0.02/0.30 % launching worker at depth: 11
% 0.02/0.30 % launching worker at depth: 12
% 0.36/0.40 % launching worker at depth: 13
% 39.01/5.24 % SZS status Theorem for theBenchmark
% 39.01/5.24 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------