%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL007-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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 13:51:25 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ec_2,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
    input ).

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

cnf(ec_4,axiom,
    is_a_theorem(equivalent(equivalent(X4,X5),equivalent(X5,X4))),
    input ).

cnf(c0,plain,
    ( ~ is_a_theorem(equivalent(X6,X7))
    | is_a_theorem(equivalent(X7,X6)) ),
    inference(resolution,status(thm),[ec_4,condensed_detachment]) ).

cnf(ec_5,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(X11,X12),X10),equivalent(X11,equivalent(X12,X10)))),
    input ).

cnf(c3,plain,
    is_a_theorem(equivalent(equivalent(X24,equivalent(X26,X25)),equivalent(equivalent(X24,X26),X25))),
    inference(resolution,status(thm),[ec_5,c0]) ).

cnf(c20,plain,
    $false,
    inference(resolution,status(thm),[c3,prove_ec_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 03:01:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.51  # Version:  1.3
% 0.19/0.51  # SZS status Unsatisfiable
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  
% 0.19/0.51  # Initial clauses    : 4
% 0.19/0.51  # Processed clauses  : 10
% 0.19/0.51  # Factors computed   : 0
% 0.19/0.51  # Resolvents computed: 21
% 0.19/0.51  # Tautologies deleted: 0
% 0.19/0.51  # Forward subsumed   : 2
% 0.19/0.51  # Backward subsumed  : 0
% 0.19/0.51  # -------- CPU Time ---------
% 0.19/0.51  # User time          : 0.163 s
% 0.19/0.51  # System time        : 0.012 s
% 0.19/0.51  # Total time         : 0.175 s
%------------------------------------------------------------------------------