%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL118-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 13:52:12 EDT 2022

% Result   : Unsatisfiable 1.54s 1.70s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

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

cnf(c3,plain,
    ( ~ is_a_theorem(equivalent(X16,X17))
    | is_a_theorem(equivalent(X18,equivalent(X17,equivalent(X16,X18)))) ),
    inference(resolution,status(thm),[c1,condensed_detachment]) ).

cnf(c4,plain,
    is_a_theorem(equivalent(X20,equivalent(equivalent(X22,equivalent(X21,equivalent(X19,X22))),equivalent(equivalent(X19,X21),X20)))),
    inference(resolution,status(thm),[c3,c1]) ).

cnf(c6,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X28,X29),X30),equivalent(equivalent(X27,equivalent(X29,equivalent(X28,X27))),X30))),
    inference(resolution,status(thm),[c4,c0]) ).

cnf(c14,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X54,X52),X53))
    | is_a_theorem(equivalent(equivalent(X55,equivalent(X52,equivalent(X54,X55))),X53)) ),
    inference(resolution,status(thm),[c6,condensed_detachment]) ).

cnf(c35,plain,
    is_a_theorem(equivalent(equivalent(X92,equivalent(X94,equivalent(X93,X92))),equivalent(X95,equivalent(X94,equivalent(X93,X95))))),
    inference(resolution,status(thm),[c14,c1]) ).

cnf(c89,plain,
    ( ~ is_a_theorem(equivalent(X165,equivalent(X166,equivalent(X164,X165))))
    | is_a_theorem(equivalent(X167,equivalent(X166,equivalent(X164,X167)))) ),
    inference(resolution,status(thm),[c35,condensed_detachment]) ).

cnf(c222,plain,
    is_a_theorem(equivalent(X168,equivalent(X169,equivalent(X169,X168)))),
    inference(resolution,status(thm),[c89,c1]) ).

cnf(c236,plain,
    is_a_theorem(equivalent(equivalent(X183,X184),equivalent(X183,X184))),
    inference(resolution,status(thm),[c222,c0]) ).

cnf(c261,plain,
    is_a_theorem(equivalent(equivalent(X228,equivalent(X229,equivalent(X230,X228))),equivalent(X230,X229))),
    inference(resolution,status(thm),[c236,c14]) ).

cnf(c343,plain,
    ( ~ is_a_theorem(equivalent(X296,equivalent(X297,equivalent(X295,X296))))
    | is_a_theorem(equivalent(X295,X297)) ),
    inference(resolution,status(thm),[c261,condensed_detachment]) ).

cnf(c5,plain,
    is_a_theorem(equivalent(X25,equivalent(equivalent(X24,equivalent(X26,X23)),equivalent(equivalent(X23,equivalent(X26,X24)),X25)))),
    inference(resolution,status(thm),[c3,wo]) ).

cnf(c11,plain,
    ( ~ is_a_theorem(X46)
    | is_a_theorem(equivalent(equivalent(X45,equivalent(X44,X47)),equivalent(equivalent(X47,equivalent(X44,X45)),X46))) ),
    inference(resolution,status(thm),[c5,condensed_detachment]) ).

cnf(c28,plain,
    is_a_theorem(equivalent(equivalent(X329,equivalent(X325,X328)),equivalent(equivalent(X328,equivalent(X325,X329)),equivalent(equivalent(X324,X326),equivalent(X327,equivalent(X326,equivalent(X324,X327))))))),
    inference(resolution,status(thm),[c11,c1]) ).

cnf(c680,plain,
    is_a_theorem(equivalent(equivalent(X629,X630),equivalent(equivalent(X629,X631),equivalent(X630,X631)))),
    inference(resolution,status(thm),[c28,c343]) ).

cnf(c1421,plain,
    is_a_theorem(equivalent(equivalent(X1161,X1162),equivalent(equivalent(X1163,X1162),equivalent(X1163,X1161)))),
    inference(resolution,status(thm),[c680,c0]) ).

cnf(c2968,plain,
    $false,
    inference(resolution,status(thm),[c1421,prove_yqm]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL118-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul  3 05:46:45 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.54/1.70  # Version:  1.3
% 1.54/1.70  # SZS status Unsatisfiable
% 1.54/1.70  # SZS output start CNFRefutation
% See solution above
% 1.54/1.70  
% 1.54/1.70  # Initial clauses    : 3
% 1.54/1.70  # Processed clauses  : 156
% 1.54/1.70  # Factors computed   : 0
% 1.54/1.70  # Resolvents computed: 2988
% 1.54/1.70  # Tautologies deleted: 3
% 1.54/1.70  # Forward subsumed   : 220
% 1.54/1.70  # Backward subsumed  : 12
% 1.54/1.70  # -------- CPU Time ---------
% 1.54/1.70  # User time          : 1.324 s
% 1.54/1.70  # System time        : 0.020 s
% 1.54/1.70  # Total time         : 1.344 s
%------------------------------------------------------------------------------