%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 0.60s 0.86s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_lg_4,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    input ).

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

cnf(lg_3,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X7),equivalent(X4,X8)),X6),equivalent(equivalent(X7,X8),X6)),X5),X5)),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X13),equivalent(X11,X9)),X12),equivalent(equivalent(X13,X9),X12)),X10))
    | is_a_theorem(X10) ),
    inference(resolution,status(thm),[lg_3,condensed_detachment]) ).

cnf(c1,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X17,X14),X15),equivalent(equivalent(X16,X14),equivalent(equivalent(X17,X16),X15)))),
    inference(resolution,status(thm),[c0,lg_3]) ).

cnf(c2,plain,
    is_a_theorem(equivalent(equivalent(X22,X26),equivalent(equivalent(equivalent(equivalent(X25,X23),equivalent(X25,X24)),X22),equivalent(equivalent(X23,X24),X26)))),
    inference(resolution,status(thm),[c1,c0]) ).

cnf(c8,plain,
    ( ~ is_a_theorem(equivalent(X34,X33))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X35,X36),equivalent(X35,X32)),X34),equivalent(equivalent(X36,X32),X33))) ),
    inference(resolution,status(thm),[c2,condensed_detachment]) ).

cnf(c12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X122,X125),equivalent(X122,X123)),equivalent(equivalent(equivalent(equivalent(equivalent(X121,X127),equivalent(X121,X120)),X124),equivalent(equivalent(X127,X120),X124)),X126)),equivalent(equivalent(X125,X123),X126))),
    inference(resolution,status(thm),[c8,lg_3]) ).

cnf(c7,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X82,X83),equivalent(X82,X78)),equivalent(equivalent(equivalent(X81,X79),equivalent(X81,X80)),X84)),equivalent(equivalent(X83,X78),equivalent(equivalent(X79,X80),X84)))),
    inference(resolution,status(thm),[c2,c0]) ).

cnf(c56,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X283,X288),equivalent(X283,X284)),equivalent(equivalent(equivalent(X286,X289),equivalent(X286,X287)),X285)))
    | is_a_theorem(equivalent(equivalent(X288,X284),equivalent(equivalent(X289,X287),X285))) ),
    inference(resolution,status(thm),[c7,condensed_detachment]) ).

cnf(c484,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X406,X403),equivalent(X406,X405)),X404),equivalent(equivalent(X403,X405),X407)),X408),equivalent(equivalent(X404,X407),X408))),
    inference(resolution,status(thm),[c56,c12]) ).

cnf(c805,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X412,X411),X413),X410),equivalent(equivalent(equivalent(X412,X409),X413),equivalent(equivalent(X411,X409),X410)))),
    inference(resolution,status(thm),[c484,c0]) ).

cnf(c836,plain,
    $false,
    inference(resolution,status(thm),[c805,prove_lg_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n029.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 : Mon Jul  4 21:08:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.60/0.86  # Version:  1.3
% 0.60/0.86  # SZS status Unsatisfiable
% 0.60/0.86  # SZS output start CNFRefutation
% See solution above
% 0.60/0.86  
% 0.60/0.86  # Initial clauses    : 3
% 0.60/0.86  # Processed clauses  : 62
% 0.60/0.86  # Factors computed   : 0
% 0.60/0.86  # Resolvents computed: 859
% 0.60/0.86  # Tautologies deleted: 0
% 0.60/0.86  # Forward subsumed   : 10
% 0.60/0.86  # Backward subsumed  : 0
% 0.60/0.86  # -------- CPU Time ---------
% 0.60/0.86  # User time          : 0.496 s
% 0.60/0.86  # System time        : 0.019 s
% 0.60/0.86  # Total time         : 0.515 s
%------------------------------------------------------------------------------