%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 11:24:45 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(pel13,conjecture,
    ( ( p
      | ( q
        & r ) )
  <=> ( ( p
        | q )
      & ( p
        | r ) ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ( ( p
        | ( q
          & r ) )
    <=> ( ( p
          | q )
        & ( p
          | r ) ) ),
    inference(assume_negation,status(cth),[pel13]) ).

fof(c1,negated_conjecture,
    ( ( ( ~ p
        & ( ~ q
          | ~ r ) )
      | ( ~ p
        & ~ q )
      | ( ~ p
        & ~ r ) )
    & ( p
      | ( q
        & r )
      | ( ( p
          | q )
        & ( p
          | r ) ) ) ),
    inference(fof_nnf,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ( ( ~ p
      | ~ p
      | ~ p )
    & ( ~ p
      | ~ p
      | ~ r )
    & ( ~ p
      | ~ q
      | ~ p )
    & ( ~ p
      | ~ q
      | ~ r )
    & ( ~ q
      | ~ r
      | ~ p
      | ~ p )
    & ( ~ q
      | ~ r
      | ~ p
      | ~ r )
    & ( ~ q
      | ~ r
      | ~ q
      | ~ p )
    & ( ~ q
      | ~ r
      | ~ q
      | ~ r )
    & ( p
      | q
      | p
      | q )
    & ( p
      | q
      | p
      | r )
    & ( p
      | r
      | p
      | q )
    & ( p
      | r
      | p
      | r ) ),
    inference(distribute,status(thm),[c1]) ).

cnf(c11,negated_conjecture,
    ( p
    | q
    | p
    | q ),
    inference(split_conjunct,status(thm),[c2]) ).

cnf(c15,plain,
    ( p
    | q ),
    inference(factor,status(thm),[c11]) ).

cnf(c3,negated_conjecture,
    ( ~ p
    | ~ p
    | ~ p ),
    inference(split_conjunct,status(thm),[c2]) ).

cnf(c22,plain,
    ( q
    | ~ p ),
    inference(resolution,status(thm),[c15,c3]) ).

cnf(c23,plain,
    q,
    inference(resolution,status(thm),[c22,c15]) ).

cnf(c14,negated_conjecture,
    ( p
    | r
    | p
    | r ),
    inference(split_conjunct,status(thm),[c2]) ).

cnf(c24,plain,
    ( p
    | r ),
    inference(factor,status(thm),[c14]) ).

cnf(c37,plain,
    ( r
    | ~ p ),
    inference(resolution,status(thm),[c24,c3]) ).

cnf(c41,plain,
    r,
    inference(resolution,status(thm),[c37,c24]) ).

cnf(c10,negated_conjecture,
    ( ~ q
    | ~ r
    | ~ q
    | ~ r ),
    inference(split_conjunct,status(thm),[c2]) ).

cnf(c43,plain,
    ( ~ q
    | ~ r ),
    inference(resolution,status(thm),[c41,c10]) ).

cnf(c45,plain,
    ~ q,
    inference(resolution,status(thm),[c43,c41]) ).

cnf(c46,plain,
    $false,
    inference(resolution,status(thm),[c45,c23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n019.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 : Mon Jul 11 20:27:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.51  # Version:  1.3
% 0.18/0.51  # SZS status Theorem
% 0.18/0.51  # SZS output start CNFRefutation
% See solution above
% 0.18/0.52  
% 0.18/0.52  # Initial clauses    : 12
% 0.18/0.52  # Processed clauses  : 16
% 0.18/0.52  # Factors computed   : 4
% 0.18/0.52  # Resolvents computed: 28
% 0.18/0.52  # Tautologies deleted: 5
% 0.18/0.52  # Forward subsumed   : 7
% 0.18/0.52  # Backward subsumed  : 12
% 0.18/0.52  # -------- CPU Time ---------
% 0.18/0.52  # User time          : 0.165 s
% 0.18/0.52  # System time        : 0.017 s
% 0.18/0.52  # Total time         : 0.182 s
%------------------------------------------------------------------------------