TSTP Solution File: COL079-2 by SATCoP---0.1

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : COL079-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n019.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 00:41:23 EDT 2022

% Result   : Unsatisfiable 94.66s 12.26s
% Output   : Proof 94.66s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC2a)]) ).

cnf(g1,plain,
    ( ~ sPE(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))
    | sPE(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2)]) ).

cnf(g2,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))
    | sPE(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2)]) ).

cnf(g3,plain,
    sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(apply(abstraction,apply(abstraction,b)),k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction)]) ).

cnf(g4,plain,
    sPE(b,b),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    sPE(apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction)]) ).

cnf(g6,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))
    | sPE(apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(apply(abstraction,apply(abstraction,b)),k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))
    | ~ sPE(apply(apply(apply(abstraction,apply(abstraction,b)),k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))
    | sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    sPE(apply(apply(apply(abstraction,apply(abstraction,b)),k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction)]) ).

cnf(g9,plain,
    sPE(apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction)]) ).

cnf(g10,plain,
    ( ~ sPE(apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))))
    | sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    sPE(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition)]) ).

cnf(g12,plain,
    ( ~ sPE(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))
    | sPE(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))))
    | ~ sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))
    | sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))
    | sPE(apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))
    | ~ sPE(apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))
    | sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))))
    | sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(apply(abstraction,b),k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    sPE(apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition)]) ).

cnf(g18,plain,
    ( ~ sPE(apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))
    | ~ sPE(apply(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))))
    | sPE(apply(apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))
    | sPE(apply(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))
    | ~ sPE(apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))
    | sPE(apply(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(k(apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))))
    | sPE(apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))),apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ sPE(b,b)
    | ~ sPE(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))
    | sPE(apply(b,k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))),apply(b,k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g23,plain,
    ( ~ sPE(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))),apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))
    | sPE(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),k(apply(k(n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))))),apply(n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)),n(apply(apply(abstraction,apply(abstraction,apply(abstraction,b))),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b))),apply(apply(abstraction,b),n(apply(abstraction,apply(abstraction,apply(abstraction,b))),apply(abstraction,b)))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : COL079-2 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue May 31 14:20:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 94.66/12.26  % symbols: 7
% 94.66/12.26  % clauses: 10
% 94.66/12.26  % start clauses: 1
% 94.66/12.26  % iterative deepening steps: 1912
% 94.66/12.26  % maximum path limit: 9
% 94.66/12.26  % literal attempts: 1342915
% 94.66/12.26  % depth failures: 783524
% 94.66/12.26  % regularity failures: 149838
% 94.66/12.26  % tautology failures: 112020
% 94.66/12.26  % reductions: 0
% 94.66/12.26  % extensions: 1342796
% 94.66/12.26  % SAT variables: 763233
% 94.66/12.26  % SAT clauses: 877126
% 94.66/12.26  % WalkSAT solutions: 877122
% 94.66/12.26  % CDCL solutions: 0
% 94.66/12.26  % SZS status Unsatisfiable for theBenchmark
% 94.66/12.26  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------