%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 : Sun Jul 17 13:52:02 EDT 2022

% Result   : Unsatisfiable 0.71s 0.90s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p_1,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    input ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(equivalent(X2,X3))
    | ~ is_a_theorem(X2)
    | is_a_theorem(X3) ),
    input ).

cnf(lg_2,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5,X7),equivalent(X5,X6)),equivalent(X7,X6)),X4),X4)),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X15,X12),equivalent(X15,X14)),equivalent(X12,X14)),X13))
    | is_a_theorem(X13) ),
    inference(resolution,status(thm),[lg_2,condensed_detachment]) ).

cnf(p_4,axiom,
    is_a_theorem(equivalent(X9,equivalent(equivalent(equivalent(equivalent(X11,X10),equivalent(X11,X8)),equivalent(X10,X8)),X9))),
    input ).

cnf(c2,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X23,X25),equivalent(X23,X24)),equivalent(X25,X24)),equivalent(equivalent(equivalent(X22,X21),equivalent(X22,X20)),equivalent(X21,X20)))),
    inference(resolution,status(thm),[c0,p_4]) ).

cnf(c5,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X27,X26),equivalent(X27,X28)),equivalent(X26,X28))),
    inference(resolution,status(thm),[c2,c0]) ).

cnf(c9,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X30,X31),equivalent(X30,X29)))
    | is_a_theorem(equivalent(X31,X29)) ),
    inference(resolution,status(thm),[c5,condensed_detachment]) ).

cnf(c1,plain,
    ( ~ is_a_theorem(X16)
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X17,X19),equivalent(X17,X18)),equivalent(X19,X18)),X16)) ),
    inference(resolution,status(thm),[p_4,condensed_detachment]) ).

cnf(c11,plain,
    is_a_theorem(equivalent(equivalent(X32,X33),equivalent(X32,X33))),
    inference(resolution,status(thm),[c9,c2]) ).

cnf(c13,plain,
    is_a_theorem(equivalent(X34,X34)),
    inference(resolution,status(thm),[c11,c9]) ).

cnf(c19,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X70,X69),equivalent(X70,X68)),equivalent(X69,X68)),equivalent(X67,X67))),
    inference(resolution,status(thm),[c13,c1]) ).

cnf(c29,plain,
    is_a_theorem(equivalent(equivalent(X72,X73),equivalent(equivalent(X74,X72),equivalent(X74,X73)))),
    inference(resolution,status(thm),[c19,c9]) ).

cnf(c33,plain,
    is_a_theorem(equivalent(equivalent(X112,equivalent(equivalent(X114,X113),equivalent(X114,X111))),equivalent(X112,equivalent(X113,X111)))),
    inference(resolution,status(thm),[c29,c0]) ).

cnf(c57,plain,
    ( ~ is_a_theorem(equivalent(X155,equivalent(equivalent(X157,X156),equivalent(X157,X158))))
    | is_a_theorem(equivalent(X155,equivalent(X156,X158))) ),
    inference(resolution,status(thm),[c33,condensed_detachment]) ).

cnf(c3,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X41,X39),equivalent(X41,X36)),equivalent(X39,X36)),equivalent(X35,equivalent(equivalent(equivalent(equivalent(X37,X40),equivalent(X37,X38)),equivalent(X40,X38)),X35)))),
    inference(resolution,status(thm),[c1,p_4]) ).

cnf(c21,plain,
    is_a_theorem(equivalent(equivalent(X175,X173),equivalent(equivalent(equivalent(equivalent(X170,X174),equivalent(X170,X171)),equivalent(X174,X171)),equivalent(equivalent(X172,X175),equivalent(X172,X173))))),
    inference(resolution,status(thm),[c3,c9]) ).

cnf(c104,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X671,X673),X670),equivalent(equivalent(X672,X673),equivalent(equivalent(X671,X672),X670)))),
    inference(resolution,status(thm),[c21,c57]) ).

cnf(c571,plain,
    $false,
    inference(resolution,status(thm),[c104,prove_p_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 23:36:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.71/0.90  # Version:  1.3
% 0.71/0.90  # SZS status Unsatisfiable
% 0.71/0.90  # SZS output start CNFRefutation
% See solution above
% 0.71/0.90  
% 0.71/0.90  # Initial clauses    : 4
% 0.71/0.90  # Processed clauses  : 68
% 0.71/0.90  # Factors computed   : 0
% 0.71/0.90  # Resolvents computed: 583
% 0.71/0.90  # Tautologies deleted: 2
% 0.71/0.90  # Forward subsumed   : 140
% 0.71/0.90  # Backward subsumed  : 1
% 0.71/0.90  # -------- CPU Time ---------
% 0.71/0.90  # User time          : 0.544 s
% 0.71/0.90  # System time        : 0.009 s
% 0.71/0.90  # Total time         : 0.553 s
%------------------------------------------------------------------------------