%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n002.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 01:03:02 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2)]) ).
cnf(g1,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g3,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g4,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g5,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))),equivalent(equivalent(b,c),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g6,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))),equivalent(equivalent(b,c),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))),equivalent(equivalent(b,c),equivalent(b,c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g7,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(c,c),equivalent(b,c))),equivalent(equivalent(b,c),equivalent(b,c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g8,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g9,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g11,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g12,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,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),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g15,plain,
( ~ is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g16,plain,
is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g17,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g19,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g20,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.11/0.36 % Computer : n002.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
% 0.11/0.37 % DateTime : Sat Sep 5 18:44:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % symbols: 7
% 0.11/0.39 % clauses: 3
% 0.11/0.39 % start clauses: 1
% 0.11/0.39 % iterative deepening steps: 459
% 0.11/0.39 % maximum path limit: 6
% 0.11/0.39 % literal attempts: 7958
% 0.11/0.39 % depth failures: 1385
% 0.11/0.39 % regularity failures: 19
% 0.11/0.39 % tautology failures: 124
% 0.11/0.39 % reductions: 0
% 0.11/0.39 % extensions: 7520
% 0.11/0.39 % SAT variables: 6968
% 0.11/0.39 % SAT clauses: 7071
% 0.11/0.39 % WalkSAT solutions: 7070
% 0.11/0.39 % CDCL solutions: 0
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.39 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------