%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n029.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 01:03:32 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xhn)]) ).
cnf(g1,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x))))
| is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g2,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g3,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g4,plain,
( ~ is_a_theorem(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))),equivalent(equivalent(z,x),equivalent(z,x))))
| is_a_theorem(equivalent(equivalent(z,x),equivalent(z,x))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g5,plain,
is_a_theorem(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g6,plain,
( ~ is_a_theorem(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))),equivalent(equivalent(z,x),equivalent(z,x)))))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))),equivalent(equivalent(z,x),equivalent(z,x)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g7,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),equivalent(z,z))),equivalent(equivalent(z,x),equivalent(z,x))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),z),x))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))
| is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g9,plain,
( ~ is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))))
| is_a_theorem(equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g11,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),equivalent(equivalent(equivalent(z,x),z),x)),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g12,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g13,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g14,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),z),x))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(z,x),equivalent(equivalent(equivalent(z,x),z),z)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g16,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(z,x),z),x)))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),z),x)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g17,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(z,x),z),x))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(z,x),z),x))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g19,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g20,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g21,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))),equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g22,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g23,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g24,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))),equivalent(equivalent(equivalent(z,x),x),equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g25,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(z,x),z),x)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(z,x),z),x)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g26,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),x),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(z,x),z),x))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g27,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g28,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g29,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g30,plain,
( ~ is_a_theorem(equivalent(equivalent(z,x),equivalent(z,x)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z)))))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g31,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))))))
| is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g32,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).
cnf(g33,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)))),equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(z,x),equivalent(equivalent(z,x),z)),equivalent(equivalent(z,equivalent(z,x)),equivalent(equivalent(equivalent(z,x),z),z))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
cnf(g34,plain,
is_a_theorem(equivalent(equivalent(equivalent(z,x),equivalent(z,x)),equivalent(equivalent(equivalent(equivalent(z,x),z),equivalent(z,x)),equivalent(equivalent(z,x),equivalent(equivalent(z,x),z))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.10/0.36 % Computer : n029.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 21:50:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.40 % symbols: 7
% 0.10/0.40 % clauses: 3
% 0.10/0.40 % start clauses: 1
% 0.10/0.40 % iterative deepening steps: 459
% 0.10/0.40 % maximum path limit: 7
% 0.10/0.40 % literal attempts: 8309
% 0.10/0.40 % depth failures: 1391
% 0.10/0.40 % regularity failures: 22
% 0.10/0.40 % tautology failures: 141
% 0.10/0.40 % reductions: 0
% 0.10/0.40 % extensions: 7867
% 0.10/0.40 % SAT variables: 8444
% 0.10/0.40 % SAT clauses: 8586
% 0.10/0.40 % WalkSAT solutions: 8582
% 0.10/0.40 % CDCL solutions: 0
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.40 % SZS output start ListOfCNF for theBenchmark
% See solution above
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