%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n011.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 01:03:01 PM UTC 2026
% Result : Unsatisfiable 85.02s 11.24s
% Output : Proof 85.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1)]) ).
cnf(g1,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,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,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g4,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g5,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
cnf(g6,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g7,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g9,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))) ),
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(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g12,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g13,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
cnf(g14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g16,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g18,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g19,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g20,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))) ),
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),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
cnf(g23,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g24,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
cnf(g25,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
cnf(g26,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g27,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g28,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g29,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g30,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g31,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
cnf(g32,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g33,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g34,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g35,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g36,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
cnf(g37,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g38,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).
cnf(g39,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : satcop --statistics %s
% 0.10/0.36 % Computer : n011.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 : Sat Sep 5 11:19:58 UTC 2026
% 0.13/0.36 % CPUTime :
% 85.02/11.24 % symbols: 7
% 85.02/11.24 % clauses: 4
% 85.02/11.24 % start clauses: 1
% 85.02/11.24 % iterative deepening steps: 4374
% 85.02/11.24 % maximum path limit: 59
% 85.02/11.24 % literal attempts: 252335
% 85.02/11.24 % depth failures: 4981
% 85.02/11.24 % regularity failures: 4749
% 85.02/11.24 % tautology failures: 327
% 85.02/11.24 % reductions: 0
% 85.02/11.24 % extensions: 248114
% 85.02/11.24 % SAT variables: 298561
% 85.02/11.24 % SAT clauses: 311977
% 85.02/11.24 % WalkSAT solutions: 311975
% 85.02/11.24 % CDCL solutions: 0
% 85.02/11.24 % SZS status Unsatisfiable for theBenchmark
% 85.02/11.24 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------