%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : COL037-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:41:13 EDT 2022
% Result : Unsatisfiable 5.61s 1.11s
% Output : Proof 5.61s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point)]) ).
cnf(g1,plain,
( ~ sPE(apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))
| ~ sPE(apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))))
| sPE(apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
sPE(apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g3,plain,
( ~ sPE(apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))
| ~ sPE(apply(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))
| sPE(apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
sPE(apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition)]) ).
cnf(g5,plain,
( ~ sPE(apply(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))
| ~ sPE(apply(apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))
| sPE(apply(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
sPE(apply(apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),apply(apply(apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition)]) ).
cnf(g7,plain,
( ~ sPE(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))
| ~ sPE(apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))
| sPE(apply(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))
| ~ sPE(apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))
| sPE(apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(apply(b,apply(c,apply(apply(s,apply(c,c)),b))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))
| ~ sPE(apply(apply(apply(b,apply(c,apply(apply(s,apply(c,c)),b))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))
| sPE(apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(apply(apply(apply(b,apply(c,apply(apply(s,apply(c,c)),b))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g11,plain,
sPE(apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(apply(apply(b,apply(c,apply(apply(s,apply(c,c)),b))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition)]) ).
cnf(g12,plain,
( ~ sPE(apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))
| ~ sPE(apply(apply(apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))
| sPE(apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition)]) ).
cnf(g14,plain,
sPE(apply(apply(apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition)]) ).
cnf(g15,plain,
( ~ sPE(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,c),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))))
| ~ sPE(apply(apply(apply(c,c),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))
| sPE(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
sPE(apply(apply(apply(s,apply(c,c)),b),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(apply(apply(c,c),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition)]) ).
cnf(g17,plain,
sPE(apply(apply(apply(c,c),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))))))),apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),apply(apply(c,apply(b,f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),f(apply(apply(c,apply(apply(s,apply(c,c)),b)),apply(apply(apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b)))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))),apply(c,apply(s,apply(c,apply(b,apply(c,apply(apply(s,apply(c,c)),b))))))))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 07:36:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.61/1.11 % symbols: 7
% 5.61/1.11 % clauses: 9
% 5.61/1.11 % start clauses: 1
% 5.61/1.11 % iterative deepening steps: 1224
% 5.61/1.11 % maximum path limit: 7
% 5.61/1.11 % literal attempts: 300250
% 5.61/1.11 % depth failures: 141031
% 5.61/1.11 % regularity failures: 27242
% 5.61/1.11 % tautology failures: 32731
% 5.61/1.11 % reductions: 0
% 5.61/1.11 % extensions: 299425
% 5.61/1.11 % SAT variables: 193094
% 5.61/1.11 % SAT clauses: 233859
% 5.61/1.11 % WalkSAT solutions: 233859
% 5.61/1.11 % CDCL solutions: 0
% 5.61/1.11 % SZS status Unsatisfiable for theBenchmark
% 5.61/1.11 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------