%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL096-1 : 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 : n002.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 12:13:09 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_lg_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
inference(cnf,[status(esa)],[prove_lg_1]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
inference(instantiation,[status(thm)],[4]) ).
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(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
inference(cnf,[status(esa)],[lg_3]) ).
cnf(l11,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a)))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a)))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))),
inference(cnf,[status(esa)],[lg_4]) ).
cnf(l15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a)))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,X2_11)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a)))),c),c)),
inference(instantiation,[status(thm)],[2]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c)),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c)),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c)),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l8,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c)),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(cnf,[status(esa)],[lg_2]) ).
cnf(l4,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,X2_11),a),equivalent(equivalent(b,X2_11),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l11,l10,l15,l3,l14,l5,l9,l8,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-1 : 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
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 15:25:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 8
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.37 % launching worker at depth: 10
% 0.10/0.38 % launching worker at depth: 11
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------