%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL120-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n004.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 0.11s 0.49s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xgj)]) ).
cnf(g1,plain,
( ~ is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)),equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))
| is_a_theorem(equivalent(a,equivalent(equivalent(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(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)),equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
cnf(g3,plain,
( ~ is_a_theorem(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))))
| is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g4,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
cnf(g5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),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(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
cnf(g7,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g9,plain,
is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
cnf(g10,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
cnf(g11,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g12,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
cnf(g13,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g14,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
cnf(g15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qyf)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL120-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.11/0.36 % Computer : n004.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 20:42:14 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.49 % symbols: 7
% 0.11/0.49 % clauses: 3
% 0.11/0.49 % start clauses: 1
% 0.11/0.49 % iterative deepening steps: 1243
% 0.11/0.49 % maximum path limit: 8
% 0.11/0.49 % literal attempts: 34734
% 0.11/0.49 % depth failures: 5328
% 0.11/0.49 % regularity failures: 288
% 0.11/0.49 % tautology failures: 91
% 0.11/0.49 % reductions: 0
% 0.11/0.49 % extensions: 33501
% 0.11/0.49 % SAT variables: 23026
% 0.11/0.49 % SAT clauses: 23973
% 0.11/0.49 % WalkSAT solutions: 23969
% 0.11/0.49 % CDCL solutions: 0
% 0.11/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.49 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------