%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n003.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 6.67s 1.29s
% Output : Proof 6.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yqf)]) ).
cnf(g1,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g2,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(c,b),equivalent(c,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g3,plain,
is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g4,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(c,b),equivalent(c,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,b),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,b),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,b),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,b),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g8,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g9,plain,
( ~ is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g11,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g12,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g13,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g16,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))) ),
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(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g19,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),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(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,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),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g24,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(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,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c))))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g25,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,c),equivalent(a,c)))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
cnf(g26,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(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,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(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(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,c),equivalent(a,c)))),equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yqj)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 14:25:49 UTC 2026
% 0.11/0.36 % CPUTime :
% 6.67/1.29 % symbols: 7
% 6.67/1.29 % clauses: 3
% 6.67/1.29 % start clauses: 1
% 6.67/1.29 % iterative deepening steps: 2648
% 6.67/1.29 % maximum path limit: 13
% 6.67/1.29 % literal attempts: 100954
% 6.67/1.29 % depth failures: 11553
% 6.67/1.29 % regularity failures: 236
% 6.67/1.29 % tautology failures: 92
% 6.67/1.29 % reductions: 0
% 6.67/1.29 % extensions: 98982
% 6.67/1.29 % SAT variables: 125040
% 6.67/1.29 % SAT clauses: 127574
% 6.67/1.29 % WalkSAT solutions: 127573
% 6.67/1.29 % CDCL solutions: 0
% 6.67/1.29 % SZS status Unsatisfiable for theBenchmark
% 6.67/1.29 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------