%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL087-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 39.98s 5.45s
% Output : CNFRefutation 39.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ic_2ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(implies(a,implies(b,a))),
inference(cnf,[status(esa)],[prove_ic_2]) ).
cnf(l0,plain,
~ is_a_theorem(implies(a,implies(b,a))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(implies(implies(X0_2,X1_2),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,implies(b,a))))
| is_a_theorem(implies(a,implies(b,a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,implies(b,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,implies(b,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
( ~ is_a_theorem(implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72)))))
| ~ is_a_theorem(implies(implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72)))),implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,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,implies(b,a))))))
| is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a))),implies(implies(implies(implies(X0_2,X1_2),implies(X2_2,X3_2)),implies(X4_2,implies(implies(X3_2,X0_2),implies(X2_2,X0_2)))),implies(a,implies(b,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l7,plain,
( ~ is_a_theorem(implies(implies(implies(a,implies(b,a)),implies(b,implies(b,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(b,a),a),implies(b,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,implies(b,a)),implies(b,implies(b,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(b,a),a),implies(b,a)))),implies(implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72)))),implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,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,implies(b,a)))))))
| is_a_theorem(implies(implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72)))),implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,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,implies(b,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(l10,plain,
is_a_theorem(implies(implies(implies(implies(a,implies(b,a)),implies(b,implies(b,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(b,a),a),implies(b,a)))),implies(implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72)))),implies(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,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,implies(b,a))))))),
inference(instantiation,[status(thm)],[1]) ).
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(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(b,a),a),implies(b,a)),implies(a,implies(b,a)))))
| is_a_theorem(implies(implies(implies(implies(b,a),a),implies(b,a)),implies(a,implies(b,a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
( ~ is_a_theorem(implies(implies(implies(X0_72,X1_72),implies(X2_72,X3_72)),implies(X2_88,implies(implies(X3_72,X0_72),implies(X2_72,X0_72)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_72,X1_72),implies(X2_72,X3_72)),implies(X2_88,implies(implies(X3_72,X0_72),implies(X2_72,X0_72)))),implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72))))))
| is_a_theorem(implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l72,plain,
is_a_theorem(implies(implies(implies(X0_72,X1_72),implies(X2_72,X3_72)),implies(X2_88,implies(implies(X3_72,X0_72),implies(X2_72,X0_72))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l70,plain,
( ~ is_a_theorem(implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))))
| ~ is_a_theorem(implies(implies(implies(implies(b,a),a),implies(a,implies(implies(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(b,a),a),implies(b,a)),implies(a,implies(b,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(b,a),a),implies(b,a)),implies(a,implies(b,a))))) ),
inference(instantiation,[status(thm)],[0]) ).
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(implies(b,a),a),implies(a,implies(implies(b,a),a)))))
| is_a_theorem(implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a)))) ),
inference(instantiation,[status(thm)],[0]) ).
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(l8,plain,
is_a_theorem(implies(implies(implies(a,implies(b,a)),implies(b,implies(b,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(b,a),a),implies(b,a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l88,plain,
is_a_theorem(implies(implies(implies(implies(X0_72,X1_72),implies(X2_72,X3_72)),implies(X2_88,implies(implies(X3_72,X0_72),implies(X2_72,X0_72)))),implies(X4_88,implies(implies(implies(implies(X3_72,X0_72),implies(X2_72,X0_72)),implies(X0_72,X1_72)),implies(X2_88,implies(X0_72,X1_72)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l87,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a)))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(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(implies(b,a),a),implies(a,implies(implies(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(implies(b,a),a),implies(a,implies(implies(b,a),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l74,plain,
is_a_theorem(implies(implies(implies(implies(b,a),a),implies(a,implies(implies(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(b,a),a),implies(b,a)),implies(a,implies(b,a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l90,plain,
( ~ is_a_theorem(implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103)))))
| ~ is_a_theorem(implies(implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103)))),implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))))))
| is_a_theorem(implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))))) ),
inference(instantiation,[status(thm)],[0]) ).
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(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(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(implies(b,a),a),implies(a,implies(implies(b,a),a)))))))
| is_a_theorem(implies(implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(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(implies(b,a),a),implies(a,implies(implies(b,a),a)))))) ),
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(l94,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))),implies(a,implies(X3_101,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(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))),implies(a,implies(X3_101,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(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,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(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(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(implies(b,a),a),implies(a,implies(implies(b,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(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(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(implies(b,a),a),implies(a,implies(implies(b,a),a))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l99,plain,
( ~ is_a_theorem(implies(implies(implies(a,implies(implies(b,a),a)),implies(implies(b,a),X3_101)),implies(implies(implies(b,a),a),implies(implies(X3_101,a),implies(implies(b,a),a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(b,a),a)),implies(implies(b,a),X3_101)),implies(implies(implies(b,a),a),implies(implies(X3_101,a),implies(implies(b,a),a)))),implies(implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103)))),implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a)))))))
| is_a_theorem(implies(implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103)))),implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l98,plain,
( ~ is_a_theorem(implies(implies(implies(X0_103,X1_103),implies(X2_103,X3_103)),implies(X4_103,implies(implies(X3_103,X0_103),implies(X2_103,X0_103)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_103,X1_103),implies(X2_103,X3_103)),implies(X4_103,implies(implies(X3_103,X0_103),implies(X2_103,X0_103)))),implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103))))))
| is_a_theorem(implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l96,plain,
is_a_theorem(implies(implies(implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))),implies(a,implies(X3_101,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(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a)))))),
inference(instantiation,[status(thm)],[1]) ).
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(l102,plain,
is_a_theorem(implies(implies(implies(implies(X0_103,X1_103),implies(X2_103,X3_103)),implies(X4_103,implies(implies(X3_103,X0_103),implies(X2_103,X0_103)))),implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l97,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))),implies(a,implies(X3_101,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(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,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(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(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(implies(b,a),a),implies(a,implies(implies(b,a),a)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l101,plain,
is_a_theorem(implies(implies(implies(a,implies(implies(b,a),a)),implies(implies(b,a),X3_101)),implies(implies(implies(b,a),a),implies(implies(X3_101,a),implies(implies(b,a),a))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l103,plain,
is_a_theorem(implies(implies(implies(X0_103,X1_103),implies(X2_103,X3_103)),implies(X4_103,implies(implies(X3_103,X0_103),implies(X2_103,X0_103))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l100,plain,
is_a_theorem(implies(implies(implies(implies(a,implies(implies(b,a),a)),implies(implies(b,a),X3_101)),implies(implies(implies(b,a),a),implies(implies(X3_101,a),implies(implies(b,a),a)))),implies(implies(X4_102,implies(implies(implies(implies(X3_103,X0_103),implies(X2_103,X0_103)),implies(X0_103,X1_103)),implies(X4_103,implies(X0_103,X1_103)))),implies(implies(implies(implies(X3_101,a),implies(implies(b,a),a)),implies(a,implies(implies(b,a),a))),implies(implies(implies(b,a),a),implies(a,implies(implies(b,a),a))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l7,l10,l2,l4,l6,l72,l70,l84,l71,l8,l88,l87,l74,l90,l89,l86,l94,l99,l98,l96,l91,l102,l97,l101,l103,l100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL087-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.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 03:31:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 4
% 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: 8
% 0.10/0.37 % launching worker at depth: 9
% 0.10/0.37 % launching worker at depth: 10
% 0.10/0.38 % launching worker at depth: 11
% 0.10/0.38 % launching worker at depth: 12
% 0.10/0.39 % launching worker at depth: 13
% 10.52/1.71 % launching worker at depth: 14
% 39.98/5.45 % SZS status Theorem for theBenchmark
% 39.98/5.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------