%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL118-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n009.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 01:03:12 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yqm)]) ).
cnf(g1,plain,
( ~ is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g2,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g3,plain,
is_a_theorem(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g4,plain,
( ~ is_a_theorem(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b)))))
| is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))) ),
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(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g7,plain,
is_a_theorem(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g8,plain,
( ~ is_a_theorem(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g9,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g10,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g11,plain,
( ~ is_a_theorem(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g12,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g13,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))))),equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g14,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(a,b)),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))),equivalent(equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,b),equivalent(a,b)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g15,plain,
( ~ is_a_theorem(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))
| is_a_theorem(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g16,plain,
( ~ is_a_theorem(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g17,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c)))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g18,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g19,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),equivalent(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))),equivalent(equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))),equivalent(equivalent(b,equivalent(a,equivalent(c,b))),equivalent(equivalent(c,a),equivalent(equivalent(c,equivalent(c,c)),equivalent(c,equivalent(c,c))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g20,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))))
| is_a_theorem(equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g21,plain,
is_a_theorem(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
cnf(g22,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(c,b)),equivalent(b,equivalent(c,a))),equivalent(equivalent(c,a),equivalent(b,equivalent(a,equivalent(c,b)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',wo)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL118-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : satcop --statistics %s
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 15:16:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.39 % symbols: 7
% 0.12/0.39 % clauses: 3
% 0.12/0.39 % start clauses: 1
% 0.12/0.39 % iterative deepening steps: 474
% 0.12/0.39 % maximum path limit: 11
% 0.12/0.39 % literal attempts: 9634
% 0.12/0.39 % depth failures: 1265
% 0.12/0.39 % regularity failures: 355
% 0.12/0.39 % tautology failures: 10
% 0.12/0.39 % reductions: 0
% 0.12/0.39 % extensions: 9166
% 0.12/0.39 % SAT variables: 7343
% 0.12/0.39 % SAT clauses: 7796
% 0.12/0.39 % WalkSAT solutions: 7793
% 0.12/0.39 % CDCL solutions: 0
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------