%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n016.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 01:03:08 PM UTC 2026
% Result : Unsatisfiable 8.82s 1.55s
% Output : Proof 8.82s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3)]) ).
cnf(g1,plain,
is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g2,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))))
| is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g3,plain,
is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g4,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))
| is_a_theorem(implies(implies(implies(a,b),a),a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g5,plain,
( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
| ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
| is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g6,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))))
| is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g7,plain,
is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g8,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,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(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))
| is_a_theorem(implies(a,implies(implies(a,a),implies(a,implies(a,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g9,plain,
is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g10,plain,
is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g11,plain,
( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
| ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,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(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g12,plain,
( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))))
| is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g13,plain,
is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g14,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a)))))
| is_a_theorem(implies(a,implies(implies(a,a),implies(a,a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g15,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a))))))
| is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g16,plain,
is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),implies(a,a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g17,plain,
( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
| ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))
| is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g18,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(a,implies(implies(implies(a,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(a,a))),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))
| is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g19,plain,
is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g20,plain,
( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
| ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a)))))))
| is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g21,plain,
( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a))))))))
| is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g22,plain,
is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,a)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g23,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))
| is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g24,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g25,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(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(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))))
| is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g26,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(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(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g27,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))))))
| is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g28,plain,
( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,b),a),a),a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g29,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,b),a),a),a))))))
| is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,b),a),a),a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g30,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g31,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,b),a),a),a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g32,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,b),a),a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g33,plain,
( ~ is_a_theorem(implies(a,implies(implies(a,a),implies(a,implies(a,a)))))
| ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(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(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g34,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))))
| is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g35,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g36,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),a),a),a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g37,plain,
( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
| ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g38,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),a),a),a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))))))
| is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g39,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),a),a),a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(implies(a,b),a),a),implies(implies(implies(implies(a,b),a),a),a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(a,b),a),a))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g40,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g41,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),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,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g42,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(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(implies(a,b),a),a),a),implies(implies(implies(a,b),a),a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g43,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(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g44,plain,
( ~ is_a_theorem(implies(a,implies(implies(a,a),implies(a,a))))
| ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,a))),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(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g45,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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))))
| is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g46,plain,
( ~ is_a_theorem(implies(a,implies(implies(a,a),implies(a,a))))
| ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,a))),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(a,implies(implies(a,a),implies(a,a))),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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g47,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(a,implies(implies(a,a),implies(a,a))),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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))))),implies(implies(a,implies(implies(a,a),implies(a,a))),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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))))))
| is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,a))),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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g48,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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
cnf(g49,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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,implies(a,b)),implies(implies(implies(a,b),a),implies(a,b))))),implies(implies(a,implies(implies(a,a),implies(a,a))),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(a,implies(implies(a,a),implies(a,a))),implies(implies(a,b),implies(implies(implies(a,b),a),implies(implies(implies(a,b),a),a)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 22:36:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 8.82/1.55 % symbols: 6
% 8.82/1.55 % clauses: 3
% 8.82/1.55 % start clauses: 1
% 8.82/1.55 % iterative deepening steps: 2546
% 8.82/1.55 % maximum path limit: 11
% 8.82/1.55 % literal attempts: 127748
% 8.82/1.55 % depth failures: 14658
% 8.82/1.55 % regularity failures: 57
% 8.82/1.55 % tautology failures: 1
% 8.82/1.55 % reductions: 0
% 8.82/1.55 % extensions: 125246
% 8.82/1.55 % SAT variables: 110244
% 8.82/1.55 % SAT clauses: 119718
% 8.82/1.55 % WalkSAT solutions: 119710
% 8.82/1.55 % CDCL solutions: 4
% 8.82/1.55 % SZS status Unsatisfiable for theBenchmark
% 8.82/1.55 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------