%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN978+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 : Thu Jul 21 11:32:17 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ( a
      & b )
   => ( a
    <=> b ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(assume_negation,status(cth),[prove_this]) ).

fof(c1,negated_conjecture,
    ( a
    & b
    & ( ~ a
      | ~ b )
    & ( a
      | b ) ),
    inference(fof_nnf,status(thm),[c0]) ).

cnf(c2,negated_conjecture,
    a,
    inference(split_conjunct,status(thm),[c1]) ).

cnf(c3,negated_conjecture,
    b,
    inference(split_conjunct,status(thm),[c1]) ).

cnf(c4,negated_conjecture,
    ( ~ a
    | ~ b ),
    inference(split_conjunct,status(thm),[c1]) ).

cnf(c6,plain,
    ~ a,
    inference(resolution,status(thm),[c4,c3]) ).

cnf(c7,plain,
    $false,
    inference(resolution,status(thm),[c6,c2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN978+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 23:36:15 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.50  # Version:  1.3
% 0.18/0.50  # SZS status Theorem
% 0.18/0.50  # SZS output start CNFRefutation
% See solution above
% 0.18/0.50  
% 0.18/0.50  # Initial clauses    : 4
% 0.18/0.50  # Processed clauses  : 4
% 0.18/0.50  # Factors computed   : 0
% 0.18/0.50  # Resolvents computed: 2
% 0.18/0.50  # Tautologies deleted: 0
% 0.18/0.50  # Forward subsumed   : 0
% 0.18/0.50  # Backward subsumed  : 1
% 0.18/0.50  # -------- CPU Time ---------
% 0.18/0.50  # User time          : 0.147 s
% 0.18/0.50  # System time        : 0.020 s
% 0.18/0.50  # Total time         : 0.167 s
%------------------------------------------------------------------------------