%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL086-1 : 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 : n001.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 113.30s 14.61s
% Output : CNFRefutation 113.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ic_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(implies(a,a)),
inference(cnf,[status(esa)],[prove_ic_1]) ).
cnf(l0,plain,
~ is_a_theorem(implies(a,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),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))
| is_a_theorem(implies(a,a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(cnf,[status(esa)],[ic_JLukasiewicz_4]) ).
cnf(l2,plain,
is_a_theorem(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),a),implies(a,a)))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))
| is_a_theorem(implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(implies(implies(X0_71,X1_71),implies(X2_71,X3_71)),implies(X4_71,implies(implies(X3_71,X0_71),implies(X2_71,X0_71)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_71,X1_71),implies(X2_71,X3_71)),implies(X4_71,implies(implies(X3_71,X0_71),implies(X2_71,X0_71)))),implies(implies(implies(a,a),a),implies(a,a))))
| is_a_theorem(implies(implies(implies(a,a),a),implies(a,a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))
| is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
is_a_theorem(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l71,plain,
is_a_theorem(implies(implies(implies(X0_71,X1_71),implies(X2_71,X3_71)),implies(X4_71,implies(implies(X3_71,X0_71),implies(X2_71,X0_71))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l70,plain,
( ~ is_a_theorem(implies(implies(a,a),implies(a,implies(a,a))))
| ~ is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(X0_71,X1_71),implies(X2_71,X3_71)),implies(X4_71,implies(implies(X3_71,X0_71),implies(X2_71,X0_71)))),implies(implies(implies(a,a),a),implies(a,a)))))
| is_a_theorem(implies(implies(implies(implies(X0_71,X1_71),implies(X2_71,X3_71)),implies(X4_71,implies(implies(X3_71,X0_71),implies(X2_71,X0_71)))),implies(implies(implies(a,a),a),implies(a,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l74,plain,
is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(X0_71,X1_71),implies(X2_71,X3_71)),implies(X4_71,implies(implies(X3_71,X0_71),implies(X2_71,X0_71)))),implies(implies(implies(a,a),a),implies(a,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))
| is_a_theorem(implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l84,plain,
( ~ is_a_theorem(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))))
| ~ is_a_theorem(implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a)))))
| is_a_theorem(implies(implies(a,a),implies(a,implies(a,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ is_a_theorem(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))
| is_a_theorem(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))))
| is_a_theorem(implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l86,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143))),implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143)))))))
| is_a_theorem(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l37,plain,
( ~ is_a_theorem(implies(implies(implies(X0_45,X1_45),implies(X2_45,X3_45)),implies(X4_45,implies(implies(X3_45,X0_45),implies(X2_45,X0_45)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_45,X1_45),implies(X2_45,X3_45)),implies(X4_45,implies(implies(X3_45,X0_45),implies(X2_45,X0_45)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))))
| is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))))
| is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l131,plain,
is_a_theorem(implies(implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143))),implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l87,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a))))))
| is_a_theorem(implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a))),implies(implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))))
| is_a_theorem(implies(implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
is_a_theorem(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a))),implies(implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l45,plain,
is_a_theorem(implies(implies(implies(X0_45,X1_45),implies(X2_45,X3_45)),implies(X4_45,implies(implies(X3_45,X0_45),implies(X2_45,X0_45))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l12,plain,
( ~ is_a_theorem(implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55)))))
| ~ is_a_theorem(implies(implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a)))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l38,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))))),implies(implies(implies(implies(X0_45,X1_45),implies(X2_45,X3_45)),implies(X4_45,implies(implies(X3_45,X0_45),implies(X2_45,X0_45)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))))))
| is_a_theorem(implies(implies(implies(implies(X0_45,X1_45),implies(X2_45,X3_45)),implies(X4_45,implies(implies(X3_45,X0_45),implies(X2_45,X0_45)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28))),implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19)))))
| is_a_theorem(implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l44,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))))),implies(implies(implies(implies(X0_45,X1_45),implies(X2_45,X3_45)),implies(X4_45,implies(implies(X3_45,X0_45),implies(X2_45,X0_45)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l50,plain,
( ~ is_a_theorem(implies(implies(implies(X0_55,X1_55),implies(X2_55,X3_55)),implies(X4_55,implies(implies(X3_55,X0_55),implies(X2_55,X0_55)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_55,X1_55),implies(X2_55,X3_55)),implies(X4_55,implies(implies(X3_55,X0_55),implies(X2_55,X0_55)))),implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55))))))
| is_a_theorem(implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
( ~ is_a_theorem(implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32)))))
| ~ is_a_theorem(implies(implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32)))),implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28)))))
| is_a_theorem(implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
( ~ is_a_theorem(implies(implies(implies(X0_19,X1_19),implies(X2_19,X3_19)),implies(X2_21,implies(implies(X3_19,X0_19),implies(X2_19,X0_19)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_19,X1_19),implies(X2_19,X3_19)),implies(X2_21,implies(implies(X3_19,X0_19),implies(X2_19,X0_19)))),implies(implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28))),implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19))))))
| is_a_theorem(implies(implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28))),implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l51,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a))))))
| is_a_theorem(implies(implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l53,plain,
is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l54,plain,
is_a_theorem(implies(implies(implies(implies(X0_55,X1_55),implies(X2_55,X3_55)),implies(X4_55,implies(implies(X3_55,X0_55),implies(X2_55,X0_55)))),implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
is_a_theorem(implies(implies(implies(X0_55,X1_55),implies(X2_55,X3_55)),implies(X4_55,implies(implies(X3_55,X0_55),implies(X2_55,X0_55))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l130,plain,
( ~ is_a_theorem(implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139)))))
| ~ is_a_theorem(implies(implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139)))),implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143)))))
| is_a_theorem(implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l39,plain,
is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a)))),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(implies(implies(X0_9,X1_9),implies(X2_9,X3_9)),implies(X4_9,implies(implies(X3_9,X0_9),implies(X2_9,X0_9)))),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
( ~ is_a_theorem(implies(implies(implies(X0_28,X1_28),implies(X2_28,X3_28)),implies(X4_28,implies(implies(X3_28,X0_28),implies(X2_28,X0_28)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_28,X1_28),implies(X2_28,X3_28)),implies(X4_28,implies(implies(X3_28,X0_28),implies(X2_28,X0_28)))),implies(implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32)))),implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28))))))
| is_a_theorem(implies(implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32)))),implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l29,plain,
is_a_theorem(implies(implies(implies(implies(X0_28,X1_28),implies(X2_28,X3_28)),implies(X4_28,implies(implies(X3_28,X0_28),implies(X2_28,X0_28)))),implies(implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32)))),implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l90,plain,
( ~ is_a_theorem(implies(implies(implies(X0_98,X1_98),implies(X2_98,X3_98)),implies(X4_98,implies(implies(X3_98,X0_98),implies(X2_98,X0_98)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_98,X1_98),implies(X2_98,X3_98)),implies(X4_98,implies(implies(X3_98,X0_98),implies(X2_98,X0_98)))),implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))))
| is_a_theorem(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l28,plain,
is_a_theorem(implies(implies(implies(X0_28,X1_28),implies(X2_28,X3_28)),implies(X4_28,implies(implies(X3_28,X0_28),implies(X2_28,X0_28))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l19,plain,
is_a_theorem(implies(implies(implies(X0_19,X1_19),implies(X2_19,X3_19)),implies(X2_21,implies(implies(X3_19,X0_19),implies(X2_19,X0_19))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l138,plain,
( ~ is_a_theorem(implies(implies(implies(X0_139,X1_139),implies(X2_139,X3_139)),implies(X2_142,implies(implies(X3_139,X0_139),implies(X2_139,X0_139)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_139,X1_139),implies(X2_139,X3_139)),implies(X2_142,implies(implies(X3_139,X0_139),implies(X2_139,X0_139)))),implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139))))))
| is_a_theorem(implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l139,plain,
is_a_theorem(implies(implies(implies(X0_139,X1_139),implies(X2_139,X3_139)),implies(X2_142,implies(implies(X3_139,X0_139),implies(X2_139,X0_139))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l142,plain,
is_a_theorem(implies(implies(implies(implies(X0_139,X1_139),implies(X2_139,X3_139)),implies(X2_142,implies(implies(X3_139,X0_139),implies(X2_139,X0_139)))),implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l99,plain,
( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,X3_101)),implies(implies(a,a),implies(implies(X3_101,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,X3_101)),implies(implies(a,a),implies(implies(X3_101,a),implies(a,a)))),implies(implies(implies(implies(X0_98,X1_98),implies(X2_98,X3_98)),implies(X4_98,implies(implies(X3_98,X0_98),implies(X2_98,X0_98)))),implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))))
| is_a_theorem(implies(implies(implies(implies(X0_98,X1_98),implies(X2_98,X3_98)),implies(X4_98,implies(implies(X3_98,X0_98),implies(X2_98,X0_98)))),implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l52,plain,
is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(implies(a,a),a))),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))))),implies(implies(X4_54,implies(implies(implies(implies(X3_55,X0_55),implies(X2_55,X0_55)),implies(X0_55,X1_55)),implies(X4_55,implies(X0_55,X1_55)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(X0_6,X1_6),implies(X2_6,X3_6)),implies(X4_6,implies(implies(X3_6,X0_6),implies(X2_6,X0_6)))),implies(implies(a,a),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l21,plain,
is_a_theorem(implies(implies(implies(implies(X0_19,X1_19),implies(X2_19,X3_19)),implies(X2_21,implies(implies(X3_19,X0_19),implies(X2_19,X0_19)))),implies(implies(implies(implies(implies(X3_28,X0_28),implies(X2_28,X0_28)),implies(X0_28,X1_28)),implies(X4_28,implies(X0_28,X1_28))),implies(implies(implies(implies(X3_19,X0_19),implies(X2_19,X0_19)),implies(X0_19,X1_19)),implies(X2_21,implies(X0_19,X1_19)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l98,plain,
is_a_theorem(implies(implies(implies(X0_98,X1_98),implies(X2_98,X3_98)),implies(X4_98,implies(implies(X3_98,X0_98),implies(X2_98,X0_98))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l101,plain,
is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,X3_101)),implies(implies(a,a),implies(implies(X3_101,a),implies(a,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l89,plain,
( ~ is_a_theorem(implies(implies(implies(X0_91,X1_91),implies(X2_91,X3_91)),implies(X4_91,implies(implies(X3_91,X0_91),implies(X2_91,X0_91)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_91,X1_91),implies(X2_91,X3_91)),implies(X4_91,implies(implies(X3_91,X0_91),implies(X2_91,X0_91)))),implies(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a)))))))
| is_a_theorem(implies(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l26,plain,
( ~ is_a_theorem(implies(implies(implies(X0_32,X1_32),implies(X2_32,X3_32)),implies(X4_32,implies(implies(X3_32,X0_32),implies(X2_32,X0_32)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_32,X1_32),implies(X2_32,X3_32)),implies(X4_32,implies(implies(X3_32,X0_32),implies(X2_32,X0_32)))),implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32))))))
| is_a_theorem(implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l33,plain,
is_a_theorem(implies(implies(implies(implies(X0_32,X1_32),implies(X2_32,X3_32)),implies(X4_32,implies(implies(X3_32,X0_32),implies(X2_32,X0_32)))),implies(X4_33,implies(implies(implies(implies(X3_32,X0_32),implies(X2_32,X0_32)),implies(X0_32,X1_32)),implies(X4_32,implies(X0_32,X1_32)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l140,plain,
( ~ is_a_theorem(implies(implies(implies(X0_143,X1_143),implies(X2_143,X3_143)),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_143,X1_143),implies(X2_143,X3_143)),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143)))),implies(implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139)))),implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143))))))
| is_a_theorem(implies(implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139)))),implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l91,plain,
is_a_theorem(implies(implies(implies(X0_91,X1_91),implies(X2_91,X3_91)),implies(X4_91,implies(implies(X3_91,X0_91),implies(X2_91,X0_91))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l100,plain,
is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,X3_101)),implies(implies(a,a),implies(implies(X3_101,a),implies(a,a)))),implies(implies(implies(implies(X0_98,X1_98),implies(X2_98,X3_98)),implies(X4_98,implies(implies(X3_98,X0_98),implies(X2_98,X0_98)))),implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l32,plain,
is_a_theorem(implies(implies(implies(X0_32,X1_32),implies(X2_32,X3_32)),implies(X4_32,implies(implies(X3_32,X0_32),implies(X2_32,X0_32))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l141,plain,
is_a_theorem(implies(implies(implies(implies(X0_143,X1_143),implies(X2_143,X3_143)),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143)))),implies(implies(X4_142,implies(implies(implies(implies(X3_139,X0_139),implies(X2_139,X0_139)),implies(X0_139,X1_139)),implies(X2_142,implies(X0_139,X1_139)))),implies(implies(implies(implies(X3_143,X0_143),implies(X2_143,X0_143)),implies(X0_143,X1_143)),implies(X4_143,implies(X0_143,X1_143)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l143,plain,
is_a_theorem(implies(implies(implies(X0_143,X1_143),implies(X2_143,X3_143)),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l94,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(X3_101,a))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(X3_101,a))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(X0_91,X1_91),implies(X2_91,X3_91)),implies(X4_91,implies(implies(X3_91,X0_91),implies(X2_91,X0_91)))),implies(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a))))))))
| is_a_theorem(implies(implies(implies(implies(X0_91,X1_91),implies(X2_91,X3_91)),implies(X4_91,implies(implies(X3_91,X0_91),implies(X2_91,X0_91)))),implies(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l97,plain,
is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(X3_101,a))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(X0_91,X1_91),implies(X2_91,X3_91)),implies(X4_91,implies(implies(X3_91,X0_91),implies(X2_91,X0_91)))),implies(implies(implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(a,a),implies(a,implies(a,a)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l96,plain,
is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(X3_101,a))),implies(implies(X4_131,implies(implies(implies(X0_143,X1_143),implies(implies(X3_143,X0_143),implies(X2_143,X0_143))),implies(X4_143,implies(implies(X3_143,X0_143),implies(X2_143,X0_143))))),implies(implies(implies(X3_101,a),implies(a,a)),implies(a,implies(a,a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l71,l70,l74,l7,l84,l8,l13,l36,l86,l37,l10,l131,l87,l11,l9,l14,l45,l12,l38,l15,l44,l50,l23,l18,l51,l53,l54,l55,l130,l39,l27,l29,l90,l28,l19,l138,l139,l142,l99,l52,l21,l98,l101,l89,l26,l33,l140,l91,l100,l32,l141,l143,l94,l97,l96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL086-1 : 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 : n001.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 07:10:16 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: 4
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 5
% 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: 3
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.37 % launching worker at depth: 10
% 0.14/0.37 % launching worker at depth: 11
% 0.14/0.37 % launching worker at depth: 12
% 0.14/0.38 % launching worker at depth: 13
% 0.14/0.44 % launching worker at depth: 14
% 38.47/5.22 % launching worker at depth: 15
% 113.30/14.61 % SZS status Theorem for theBenchmark
% 113.30/14.61 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------