%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 11:27:07 EDT 2022

% Result   : Theorem 0.38s 0.55s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_9_2,conjecture,
    ? [X] :
    ! [Y] :
      ( ( ( big_f(X,X)
         => big_f(Y,Y) )
       => ( big_f(X,Y)
          & big_g(X) ) )
     => big_g(Y) ),
    input ).

fof(c0,negated_conjecture,
    ~ ? [X] :
      ! [Y] :
        ( ( ( big_f(X,X)
           => big_f(Y,Y) )
         => ( big_f(X,Y)
            & big_g(X) ) )
       => big_g(Y) ),
    inference(assume_negation,status(cth),[church_46_9_2]) ).

fof(c1,negated_conjecture,
    ! [X] :
    ? [Y] :
      ( ( ( big_f(X,X)
          & ~ big_f(Y,Y) )
        | ( big_f(X,Y)
          & big_g(X) ) )
      & ~ big_g(Y) ),
    inference(fof_nnf,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ! [X2] :
    ? [X3] :
      ( ( ( big_f(X2,X2)
          & ~ big_f(X3,X3) )
        | ( big_f(X2,X3)
          & big_g(X2) ) )
      & ~ big_g(X3) ),
    inference(variable_rename,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ! [X2] :
      ( ( ( big_f(X2,X2)
          & ~ big_f(skolem0001(X2),skolem0001(X2)) )
        | ( big_f(X2,skolem0001(X2))
          & big_g(X2) ) )
      & ~ big_g(skolem0001(X2)) ),
    inference(skolemize,status(esa),[c2]) ).

fof(c4,negated_conjecture,
    ! [X2] :
      ( ( big_f(X2,X2)
        | big_f(X2,skolem0001(X2)) )
      & ( big_f(X2,X2)
        | big_g(X2) )
      & ( ~ big_f(skolem0001(X2),skolem0001(X2))
        | big_f(X2,skolem0001(X2)) )
      & ( ~ big_f(skolem0001(X2),skolem0001(X2))
        | big_g(X2) )
      & ~ big_g(skolem0001(X2)) ),
    inference(distribute,status(thm),[c3]) ).

cnf(c9,negated_conjecture,
    ~ big_g(skolem0001(X4)),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c6,negated_conjecture,
    ( big_f(X5,X5)
    | big_g(X5) ),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c10,plain,
    big_f(skolem0001(X6),skolem0001(X6)),
    inference(resolution,status(thm),[c6,c9]) ).

cnf(c8,negated_conjecture,
    ( ~ big_f(skolem0001(X8),skolem0001(X8))
    | big_g(X8) ),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c12,plain,
    big_g(X10),
    inference(resolution,status(thm),[c8,c10]) ).

cnf(c17,plain,
    $false,
    inference(resolution,status(thm),[c12,c9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon Jul 11 18:18:10 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.38/0.55  # Version:  1.3
% 0.38/0.55  # SZS status Theorem
% 0.38/0.55  # SZS output start CNFRefutation
% See solution above
% 0.38/0.55  
% 0.38/0.55  # Initial clauses    : 5
% 0.38/0.55  # Processed clauses  : 7
% 0.38/0.55  # Factors computed   : 0
% 0.38/0.55  # Resolvents computed: 8
% 0.38/0.55  # Tautologies deleted: 0
% 0.38/0.55  # Forward subsumed   : 0
% 0.38/0.55  # Backward subsumed  : 2
% 0.38/0.55  # -------- CPU Time ---------
% 0.38/0.55  # User time          : 0.182 s
% 0.38/0.55  # System time        : 0.013 s
% 0.38/0.55  # Total time         : 0.195 s
%------------------------------------------------------------------------------