%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL022-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 108.43s 14.20s
% Output : CNFRefutation 109.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ec_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
inference(cnf,[status(esa)],[prove_ec_1]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(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(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(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(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l34,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l37,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(a,b)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l38,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l40,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a))),equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l43,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(a,c),equivalent(b,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,c),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a))),equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a))),equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l41,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(b,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l22,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l45,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(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l47,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l24,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l46,plain,
is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l48,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,c),equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(b,a))),equivalent(equivalent(b,c),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l25,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l44,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(a,c),equivalent(b,a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l20,plain,
( ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))),equivalent(equivalent(a,b),equivalent(a,b))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(a,b))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l31,plain,
is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l28,plain,
( ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))),equivalent(equivalent(a,b),equivalent(a,b)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))),equivalent(equivalent(a,b),equivalent(a,b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l30,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29))),equivalent(equivalent(a,b),equivalent(a,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l29,plain,
is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(X2_29,b),equivalent(a,X2_29)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l26,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))),equivalent(equivalent(equivalent(c,a),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l39,plain,
( ~ is_a_theorem(equivalent(equivalent(b,a),equivalent(equivalent(c,a),equivalent(b,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l50,plain,
is_a_theorem(equivalent(equivalent(b,a),equivalent(equivalent(c,a),equivalent(b,c)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l51,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(b,c))),equivalent(equivalent(b,a),equivalent(equivalent(b,c),equivalent(a,b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l35,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))),equivalent(equivalent(b,c),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l56,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l58,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))),equivalent(equivalent(b,c),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))),equivalent(equivalent(b,c),equivalent(b,c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l59,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l61,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(X2_56,c),equivalent(b,X2_56))),equivalent(equivalent(b,c),equivalent(b,c))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2,l34,l37,l4,l38,l21,l40,l36,l43,l41,l22,l45,l47,l24,l46,l48,l25,l44,l20,l31,l28,l30,l29,l26,l23,l27,l39,l50,l51,l35,l56,l58,l59,l61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL022-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n003.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Fri Sep 4 23:31:50 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.46 % launching worker at depth: 1
% 0.20/0.46 % launching worker at depth: 2
% 0.20/0.46 % launching worker at depth: 3
% 0.20/0.46 % launching worker at depth: 5
% 0.20/0.46 % launching worker at depth: 4
% 0.20/0.46 % launching worker at depth: 6
% 0.20/0.46 % launching worker at depth: 7
% 0.20/0.46 % launching worker at depth: 8
% 0.20/0.46 % launching worker at depth: 9
% 0.20/0.46 % launching worker at depth: 10
% 0.20/0.46 % launching worker at depth: 11
% 0.20/0.48 % launching worker at depth: 12
% 2.81/0.88 % launching worker at depth: 13
% 108.43/14.20 % SZS status Theorem for theBenchmark
% 108.43/14.20 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------