%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL082-1 : 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 : n026.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 12:13:08 PM UTC 2026
% Result : Unsatisfiable 4.18s 1.02s
% Output : CNFRefutation 4.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ic_2ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(implies(a,implies(b,a))),
inference(cnf,[status(esa)],[prove_ic_2]) ).
cnf(l0,plain,
~ is_a_theorem(implies(a,implies(b,a))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))))
| is_a_theorem(implies(a,implies(b,a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))))
| is_a_theorem(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
inference(cnf,[status(esa)],[ic_JLukasiewicz]) ).
cnf(l2,plain,
is_a_theorem(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(implies(implies(X0_55,X1_55),X2_55),implies(implies(X2_55,X0_55),implies(X3_55,X0_55))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_55,X1_55),X2_55),implies(implies(X2_55,X0_55),implies(X3_55,X0_55))),implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55)))))
| is_a_theorem(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l54,plain,
is_a_theorem(implies(implies(implies(implies(X0_55,X1_55),X2_55),implies(implies(X2_55,X0_55),implies(X3_55,X0_55))),implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
is_a_theorem(implies(implies(implies(X0_55,X1_55),X2_55),implies(implies(X2_55,X0_55),implies(X3_55,X0_55)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))))))
| is_a_theorem(implies(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ is_a_theorem(implies(implies(implies(a,implies(b,a)),implies(b,a)),implies(implies(implies(b,a),a),implies(b,a))))
| ~ is_a_theorem(implies(implies(implies(implies(a,implies(b,a)),implies(b,a)),implies(implies(implies(b,a),a),implies(b,a))),implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))))))
| is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l38,plain,
is_a_theorem(implies(implies(implies(a,implies(b,a)),implies(b,a)),implies(implies(implies(b,a),a),implies(b,a)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l39,plain,
is_a_theorem(implies(implies(implies(implies(a,implies(b,a)),implies(b,a)),implies(implies(implies(b,a),a),implies(b,a))),implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(X2_55,X0_55),implies(X3_55,X0_55)),implies(X0_55,X1_55)),implies(X3_54,implies(X0_55,X1_55))),implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
( ~ is_a_theorem(implies(implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
is_a_theorem(implies(implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l13,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(b,a),a)),implies(implies(implies(b,a),X1_9),implies(implies(b,a),a))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(b,a),a)),implies(implies(implies(b,a),X1_9),implies(implies(b,a),a))),implies(implies(implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))))))
| is_a_theorem(implies(implies(implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
( ~ is_a_theorem(implies(implies(implies(implies(b,a),a),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(b,a),a)),implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(b,a),a)),implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(b,a),a)),implies(implies(implies(b,a),X1_9),implies(implies(b,a),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(b,a),a)),implies(implies(implies(b,a),X1_9),implies(implies(b,a),a))),implies(implies(implies(implies(implies(b,a),X1_9),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))),implies(implies(implies(implies(implies(implies(X0_2,X1_2),X2_2),implies(implies(X2_2,X0_2),implies(X3_2,X0_2))),implies(a,implies(b,a))),X1_10),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
is_a_theorem(implies(implies(implies(implies(b,a),a),implies(implies(b,a),a)),implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4,l54,l55,l5,l6,l38,l39,l7,l10,l8,l9,l13,l14,l18,l15,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL082-1 : 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
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 16:34:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % launching worker at depth: 1
% 0.10/0.38 % launching worker at depth: 6
% 0.10/0.38 % launching worker at depth: 8
% 0.10/0.38 % launching worker at depth: 3
% 0.10/0.38 % launching worker at depth: 5
% 0.10/0.38 % launching worker at depth: 4
% 0.10/0.38 % launching worker at depth: 7
% 0.10/0.38 % launching worker at depth: 2
% 0.10/0.38 % launching worker at depth: 9
% 0.10/0.38 % launching worker at depth: 10
% 0.10/0.38 % launching worker at depth: 11
% 0.10/0.39 % launching worker at depth: 12
% 0.10/0.46 % launching worker at depth: 13
% 4.18/1.02 % SZS status Theorem for theBenchmark
% 4.18/1.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------