%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL023-1 : 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 : n029.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 12:13:03 PM UTC 2026
% Result : Unsatisfiable 82.55s 10.82s
% Output : CNFRefutation 82.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ec_2ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
inference(cnf,[status(esa)],[prove_ec_2]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),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(equivalent(a,b),c),equivalent(equivalent(b,c),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))) ),
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(l5,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l20,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l34,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l22,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))),equivalent(equivalent(b,c),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l35,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l38,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l46,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l48,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l39,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l37,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l31,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l28,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))),equivalent(equivalent(b,c),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))),equivalent(equivalent(b,c),equivalent(b,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l30,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29))),equivalent(equivalent(b,c),equivalent(b,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l51,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l29,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_29,c),equivalent(b,X2_29)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l61,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l60,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(X2_36,c),equivalent(equivalent(a,b),X2_36))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l54,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l58,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l56,plain,
( ~ is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l59,plain,
is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l57,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l4,l20,l2,l34,l22,l35,l38,l36,l46,l48,l39,l37,l31,l28,l30,l51,l29,l61,l60,l47,l54,l58,l56,l59,l57,l55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL023-1 : 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
% 0.08/0.36 % Computer : n029.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 18:43:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % launching worker at depth: 1
% 0.08/0.37 % launching worker at depth: 8
% 0.08/0.37 % launching worker at depth: 2
% 0.08/0.37 % launching worker at depth: 3
% 0.08/0.37 % launching worker at depth: 4
% 0.08/0.37 % launching worker at depth: 5
% 0.08/0.37 % launching worker at depth: 6
% 0.08/0.37 % launching worker at depth: 7
% 0.08/0.37 % launching worker at depth: 9
% 0.08/0.37 % launching worker at depth: 10
% 0.08/0.37 % launching worker at depth: 11
% 0.08/0.38 % launching worker at depth: 12
% 2.60/0.71 % launching worker at depth: 13
% 82.55/10.82 % SZS status Theorem for theBenchmark
% 82.55/10.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------