%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL088-1 : 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 : n013.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 193.20s 24.98s
% Output : CNFRefutation 193.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ic_3ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf,[status(esa)],[prove_ic_3]) ).
cnf(l0,plain,
~ is_a_theorem(implies(implies(implies(a,b),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(implies(implies(a,b),a),a)))
| is_a_theorem(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a))))
| is_a_theorem(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))
| ~ is_a_theorem(implies(implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l74,plain,
is_a_theorem(implies(implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l10,plain,
( ~ is_a_theorem(implies(implies(implies(X0_15,X1_15),implies(X2_15,X3_15)),implies(X4_15,implies(implies(X3_15,X0_15),implies(X2_15,X0_15)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_15,X1_15),implies(X2_15,X3_15)),implies(X4_15,implies(implies(X3_15,X0_15),implies(X2_15,X0_15)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),a),a),a))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),a),a),a))),implies(implies(implies(implies(X0_15,X1_15),implies(X2_15,X3_15)),implies(X4_15,implies(implies(X3_15,X0_15),implies(X2_15,X0_15)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))))
| is_a_theorem(implies(implies(implies(implies(X0_15,X1_15),implies(X2_15,X3_15)),implies(X4_15,implies(implies(X3_15,X0_15),implies(X2_15,X0_15)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ is_a_theorem(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))))
| ~ is_a_theorem(implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))
| is_a_theorem(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
is_a_theorem(implies(implies(implies(X0_15,X1_15),implies(X2_15,X3_15)),implies(X4_15,implies(implies(X3_15,X0_15),implies(X2_15,X0_15))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l84,plain,
( ~ is_a_theorem(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))))
| is_a_theorem(implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66))),implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66)))))))
| is_a_theorem(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l57,plain,
( ~ is_a_theorem(implies(implies(implies(X0_61,X1_61),implies(X2_61,X3_61)),implies(X4_61,implies(implies(X3_61,X0_61),implies(X2_61,X0_61)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_61,X1_61),implies(X2_61,X3_61)),implies(X4_61,implies(implies(X3_61,X0_61),implies(X2_61,X0_61)))),implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66)))))
| is_a_theorem(implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l86,plain,
is_a_theorem(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l61,plain,
is_a_theorem(implies(implies(implies(X0_61,X1_61),implies(X2_61,X3_61)),implies(X4_61,implies(implies(X3_61,X0_61),implies(X2_61,X0_61))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),a),a),a))),implies(implies(implies(implies(X0_15,X1_15),implies(X2_15,X3_15)),implies(X4_15,implies(implies(X3_15,X0_15),implies(X2_15,X0_15)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))))),
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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),a),a),a)))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),a),a),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l87,plain,
( ~ is_a_theorem(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))))
| is_a_theorem(implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l64,plain,
( ~ is_a_theorem(implies(implies(implies(X0_66,X1_66),implies(X2_66,X3_66)),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_66,X1_66),implies(X2_66,X3_66)),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66)))),implies(implies(implies(implies(X0_61,X1_61),implies(X2_61,X3_61)),implies(X4_61,implies(implies(X3_61,X0_61),implies(X2_61,X0_61)))),implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66))))))
| is_a_theorem(implies(implies(implies(implies(X0_61,X1_61),implies(X2_61,X3_61)),implies(X4_61,implies(implies(X3_61,X0_61),implies(X2_61,X0_61)))),implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66))))) ),
inference(instantiation,[status(thm)],[0]) ).
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(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(l66,plain,
is_a_theorem(implies(implies(implies(X0_66,X1_66),implies(X2_66,X3_66)),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l90,plain,
is_a_theorem(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))),
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(l13,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))))
| is_a_theorem(implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l51,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),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(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,b),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(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),a),a),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l53,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),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(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l52,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,b),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(implies(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))),implies(implies(implies(implies(a,b),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,b),a),a),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l56,plain,
is_a_theorem(implies(implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66))),implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))))),
inference(instantiation,[status(thm)],[1]) ).
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(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l65,plain,
is_a_theorem(implies(implies(implies(implies(X0_66,X1_66),implies(X2_66,X3_66)),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66)))),implies(implies(implies(implies(X0_61,X1_61),implies(X2_61,X3_61)),implies(X4_61,implies(implies(X3_61,X0_61),implies(X2_61,X0_61)))),implies(implies(implies(implies(X3_66,X0_66),implies(X2_66,X0_66)),implies(X0_66,X1_66)),implies(X2_65,implies(X0_66,X1_66)))))),
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(l38,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(a,b),a),a))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(a,b),a),a))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),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(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l44,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(a,b),a),a))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),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(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),a),a))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l39,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),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(implies(a,b),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(implies(a,b),a),a))),implies(implies(X4_56,implies(implies(implies(X0_66,X1_66),implies(implies(X3_66,X0_66),implies(X2_66,X0_66))),implies(X2_65,implies(implies(X3_66,X0_66),implies(X2_66,X0_66))))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),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(implies(implies(a,b),a),a),a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l89,plain,
( ~ is_a_theorem(implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95)))))
| ~ is_a_theorem(implies(implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95)))),implies(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))))))
| is_a_theorem(implies(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l94,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))))),implies(implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95)))),implies(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))))))
| is_a_theorem(implies(implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95)))),implies(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l91,plain,
( ~ is_a_theorem(implies(implies(implies(X0_95,X1_95),implies(X2_95,X3_95)),implies(X4_95,implies(implies(X3_95,X0_95),implies(X2_95,X0_95)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_95,X1_95),implies(X2_95,X3_95)),implies(X4_95,implies(implies(X3_95,X0_95),implies(X2_95,X0_95)))),implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95))))))
| is_a_theorem(implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l93,plain,
is_a_theorem(implies(implies(implies(implies(X0_95,X1_95),implies(X2_95,X3_95)),implies(X4_95,implies(implies(X3_95,X0_95),implies(X2_95,X0_95)))),implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l95,plain,
is_a_theorem(implies(implies(implies(X0_95,X1_95),implies(X2_95,X3_95)),implies(X4_95,implies(implies(X3_95,X0_95),implies(X2_95,X0_95))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l96,plain,
is_a_theorem(implies(implies(implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l97,plain,
is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))))),implies(implies(X4_93,implies(implies(implies(implies(X3_95,X0_95),implies(X2_95,X0_95)),implies(X0_95,X1_95)),implies(X4_95,implies(X0_95,X1_95)))),implies(implies(implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(X0_86,X1_86),implies(X2_86,X3_86)),implies(X4_86,implies(implies(X3_86,X0_86),implies(X2_86,X0_86)))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),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,l10,l11,l8,l15,l84,l9,l57,l86,l61,l14,l12,l87,l64,l50,l54,l66,l90,l55,l13,l51,l36,l53,l52,l56,l37,l65,l45,l38,l44,l39,l89,l94,l91,l93,l95,l96,l97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL088-1 : 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
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 22:32:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % launching worker at depth: 1
% 0.09/0.37 % launching worker at depth: 6
% 0.09/0.37 % launching worker at depth: 2
% 0.09/0.37 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 8
% 0.09/0.37 % launching worker at depth: 4
% 0.09/0.37 % launching worker at depth: 7
% 0.09/0.37 % launching worker at depth: 5
% 0.09/0.37 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: 10
% 0.09/0.37 % launching worker at depth: 11
% 0.09/0.37 % launching worker at depth: 12
% 0.09/0.37 % launching worker at depth: 13
% 0.83/0.50 % launching worker at depth: 14
% 58.94/7.89 % launching worker at depth: 15
% 193.20/24.98 % SZS status Theorem for theBenchmark
% 193.20/24.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------