%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL104-1 : 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 01:03:10 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1)]) ).
cnf(g1,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g4,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4)]) ).
cnf(g5,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3)]) ).
cnf(g6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3)]) ).
cnf(g7,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g9,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4)]) ).
cnf(g10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g11,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3)]) ).
cnf(g12,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4)]) ).
cnf(g13,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g15,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g16,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4)]) ).
cnf(g17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3)]) ).
cnf(g18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g19,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4)]) ).
cnf(g20,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3)]) ).
cnf(g21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g22,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3)]) ).
cnf(g23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : satcop --statistics %s
% 0.09/0.34 % Computer : n016.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 01:51:28 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.12/0.40 % symbols: 8
% 0.12/0.40 % clauses: 4
% 0.12/0.40 % start clauses: 1
% 0.12/0.40 % iterative deepening steps: 979
% 0.12/0.40 % maximum path limit: 8
% 0.12/0.40 % literal attempts: 17358
% 0.12/0.40 % depth failures: 2503
% 0.12/0.40 % regularity failures: 218
% 0.12/0.40 % tautology failures: 181
% 0.12/0.40 % reductions: 0
% 0.12/0.40 % extensions: 16392
% 0.12/0.40 % SAT variables: 12014
% 0.12/0.40 % SAT clauses: 12377
% 0.12/0.40 % WalkSAT solutions: 12374
% 0.12/0.40 % CDCL solutions: 0
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.40 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------