%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 13:51:27 EDT 2022

% Result   : Unsatisfiable 0.39s 0.55s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

cnf(c1,plain,
    is_a_theorem(equivalent(equivalent(X11,equivalent(equivalent(X12,equivalent(equivalent(X10,equivalent(X12,X14)),equivalent(X14,X10))),X13)),equivalent(X13,X11))),
    inference(resolution,status(thm),[c0,xgf]) ).

cnf(c2,plain,
    ( ~ is_a_theorem(equivalent(X17,equivalent(equivalent(X18,equivalent(equivalent(X16,equivalent(X18,X15)),equivalent(X15,X16))),X19)))
    | is_a_theorem(equivalent(X19,X17)) ),
    inference(resolution,status(thm),[c1,condensed_detachment]) ).

cnf(c4,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X21,X22),X20),equivalent(X22,equivalent(X20,X21)))),
    inference(resolution,status(thm),[c2,xgf]) ).

cnf(c6,plain,
    $false,
    inference(resolution,status(thm),[c4,prove_um]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL013-1 : 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 : n019.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 : Sun Jul  3 21:13:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/0.55  # Version:  1.3
% 0.39/0.55  # SZS status Unsatisfiable
% 0.39/0.55  # SZS output start CNFRefutation
% See solution above
% 0.39/0.55  
% 0.39/0.55  # Initial clauses    : 3
% 0.39/0.55  # Processed clauses  : 7
% 0.39/0.55  # Factors computed   : 0
% 0.39/0.55  # Resolvents computed: 10
% 0.39/0.55  # Tautologies deleted: 0
% 0.39/0.55  # Forward subsumed   : 0
% 0.39/0.55  # Backward subsumed  : 0
% 0.39/0.55  # -------- CPU Time ---------
% 0.39/0.55  # User time          : 0.187 s
% 0.39/0.55  # System time        : 0.019 s
% 0.39/0.55  # Total time         : 0.206 s
%------------------------------------------------------------------------------