TSTP Solution File: COL057-1 by SATCoP---0.1

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:41:17 EDT 2022

% Result   : Unsatisfiable 2.46s 0.69s
% Output   : Proof 2.46s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    ~ sPE(apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))),apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point)]) ).

cnf(g2,plain,
    ( ~ sPE(apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))))
    | ~ sPE(apply(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),apply(f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))),apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))))
    | sPE(apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))),apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    sPE(apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition)]) ).

cnf(g4,plain,
    ( ~ sPE(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))
    | ~ sPE(apply(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))
    | sPE(apply(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),apply(f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))),apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))
    | ~ sPE(f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))
    | sPE(apply(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ sPE(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),apply(apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))
    | ~ sPE(apply(apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))
    | sPE(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(apply(apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(apply(apply(b,apply(s,apply(apply(b,apply(i,i)),i))),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))
    | ~ sPE(apply(apply(apply(b,apply(s,apply(apply(b,apply(i,i)),i))),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))
    | sPE(apply(apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    sPE(apply(apply(apply(b,apply(s,apply(apply(b,apply(i,i)),i))),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g9,plain,
    sPE(apply(apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(apply(apply(b,apply(s,apply(apply(b,apply(i,i)),i))),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition)]) ).

cnf(g10,plain,
    ( ~ sPE(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i))
    | ~ sPE(apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))
    | sPE(apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))),apply(apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    sPE(apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition)]) ).

cnf(g12,plain,
    sPE(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(apply(s,apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),i)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition)]) ).

cnf(g13,plain,
    sPE(f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(i,i),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))))
    | ~ sPE(apply(apply(i,i),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))
    | sPE(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    sPE(apply(apply(apply(b,apply(i,i)),i),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(apply(i,i),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).

cnf(g16,plain,
    ( ~ sPE(apply(apply(i,i),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),apply(i,apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))))
    | ~ sPE(apply(i,apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))
    | sPE(apply(apply(i,i),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(apply(i,apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))
    | ~ sPE(apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))
    | sPE(apply(i,apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    sPE(apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition)]) ).

cnf(g19,plain,
    sPE(apply(i,apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition)]) ).

cnf(g20,plain,
    ( ~ sPE(apply(i,i),i)
    | ~ sPE(apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))
    | sPE(apply(apply(i,i),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),apply(i,apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    sPE(apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i))))))))),apply(i,f(apply(apply(s,apply(apply(b,apply(i,i)),i)),apply(apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))),apply(i,apply(apply(apply(c,s),i),apply(b,apply(s,apply(apply(b,apply(i,i)),i)))))))))),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14  % Command  : satcop --statistics %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Tue May 31 09:38:55 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 2.46/0.69  % symbols: 8
% 2.46/0.69  % clauses: 10
% 2.46/0.69  % start clauses: 1
% 2.46/0.69  % iterative deepening steps: 1300
% 2.46/0.69  % maximum path limit: 6
% 2.46/0.69  % literal attempts: 231604
% 2.46/0.69  % depth failures: 104229
% 2.46/0.69  % regularity failures: 22506
% 2.46/0.69  % tautology failures: 20491
% 2.46/0.69  % reductions: 0
% 2.46/0.69  % extensions: 230641
% 2.46/0.69  % SAT variables: 103092
% 2.46/0.69  % SAT clauses: 136931
% 2.46/0.69  % WalkSAT solutions: 136930
% 2.46/0.69  % CDCL solutions: 0
% 2.46/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.46/0.69  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------