%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL106-1 : 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 : n009.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 12:13:11 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_q_2ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
inference(cnf,[status(esa)],[prove_q_2]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
inference(instantiation,[status(thm)],[3]) ).
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,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))),equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(c,b)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(cnf,[status(esa)],[q_4]) ).
cnf(l3,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))),equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l22,plain,
( ~ is_a_theorem(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(c,b))),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
inference(cnf,[status(esa)],[q_1]) ).
cnf(l26,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(c,b)),equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(a,b))),equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l25,plain,
is_a_theorem(equivalent(equivalent(c,b),equivalent(equivalent(a,c),equivalent(equivalent(c,a),equivalent(c,b))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l18,l3,l22,l24,l26,l19,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL106-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 13:29:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.38 % launching worker at depth: 2
% 0.11/0.38 % launching worker at depth: 8
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 0.15/0.38 % launching worker at depth: 11
% 0.15/0.39 % launching worker at depth: 12
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------