%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 13:53:26 EDT 2022

% Result   : Unsatisfiable 4.73s 4.94s
% Output   : Refutation 4.73s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_xhn,negated_conjecture,
    ~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
    input ).

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

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

cnf(c0,plain,
    ( ~ is_a_theorem(equivalent(X9,X7))
    | is_a_theorem(equivalent(equivalent(X8,X7),equivalent(X9,X8))) ),
    inference(resolution,status(thm),[yql,condensed_detachment]) ).

cnf(c1,plain,
    is_a_theorem(equivalent(equivalent(X11,equivalent(equivalent(X12,X10),equivalent(X13,X12))),equivalent(equivalent(X13,X10),X11))),
    inference(resolution,status(thm),[c0,yql]) ).

cnf(c2,plain,
    ( ~ is_a_theorem(equivalent(X17,equivalent(equivalent(X15,X14),equivalent(X16,X15))))
    | is_a_theorem(equivalent(equivalent(X16,X14),X17)) ),
    inference(resolution,status(thm),[c1,condensed_detachment]) ).

cnf(c5,plain,
    is_a_theorem(equivalent(equivalent(X19,X18),equivalent(X19,X18))),
    inference(resolution,status(thm),[c2,yql]) ).

cnf(c7,plain,
    is_a_theorem(equivalent(equivalent(X23,equivalent(X22,X24)),equivalent(equivalent(X22,X24),X23))),
    inference(resolution,status(thm),[c5,c0]) ).

cnf(c11,plain,
    is_a_theorem(equivalent(equivalent(X38,X40),equivalent(equivalent(X38,X39),equivalent(X39,X40)))),
    inference(resolution,status(thm),[c7,c2]) ).

cnf(c9,plain,
    ( ~ is_a_theorem(equivalent(X29,equivalent(X30,X28)))
    | is_a_theorem(equivalent(equivalent(X30,X28),X29)) ),
    inference(resolution,status(thm),[c7,condensed_detachment]) ).

cnf(c14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X82,X81),equivalent(X83,X82)),equivalent(X83,X81))),
    inference(resolution,status(thm),[c9,yql]) ).

cnf(c60,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X123,X124),equivalent(X125,X123)))
    | is_a_theorem(equivalent(X125,X124)) ),
    inference(resolution,status(thm),[c14,condensed_detachment]) ).

cnf(c122,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X145,X144),X145),X144)),
    inference(resolution,status(thm),[c60,c11]) ).

cnf(c12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X72,X71),X73),equivalent(X73,equivalent(equivalent(X70,X71),equivalent(X72,X70))))),
    inference(resolution,status(thm),[c9,c1]) ).

cnf(c56,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X292,X294),X295))
    | is_a_theorem(equivalent(X295,equivalent(equivalent(X293,X294),equivalent(X292,X293)))) ),
    inference(resolution,status(thm),[c12,condensed_detachment]) ).

cnf(c549,plain,
    is_a_theorem(equivalent(X2686,equivalent(equivalent(X2687,X2688),equivalent(equivalent(X2688,X2686),X2687)))),
    inference(resolution,status(thm),[c56,c122]) ).

cnf(c7296,plain,
    $false,
    inference(resolution,status(thm),[c549,prove_xhn]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n003.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 16:41:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.73/4.94  # Version:  1.3
% 4.73/4.94  # SZS status Unsatisfiable
% 4.73/4.94  # SZS output start CNFRefutation
% See solution above
% 4.73/4.94  
% 4.73/4.94  # Initial clauses    : 3
% 4.73/4.94  # Processed clauses  : 306
% 4.73/4.94  # Factors computed   : 0
% 4.73/4.94  # Resolvents computed: 7303
% 4.73/4.94  # Tautologies deleted: 2
% 4.73/4.94  # Forward subsumed   : 787
% 4.73/4.94  # Backward subsumed  : 11
% 4.73/4.94  # -------- CPU Time ---------
% 4.73/4.94  # User time          : 4.552 s
% 4.73/4.94  # System time        : 0.036 s
% 4.73/4.94  # Total time         : 4.588 s
%------------------------------------------------------------------------------