%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 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 11:27:24 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_17_2,conjecture,
    ! [X1,X2] :
    ? [Y1,Y2] :
    ! [Z1,Z2] :
      ( big_f(X2,Z1)
     => ( big_f(Y1,Z2)
       => ( ( big_f(Y1,Z1)
            & big_f(Y2,Z1) )
          | ( big_f(X2,Z2)
            & big_f(Y2,Z2) ) ) ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ! [X1,X2] :
      ? [Y1,Y2] :
      ! [Z1,Z2] :
        ( big_f(X2,Z1)
       => ( big_f(Y1,Z2)
         => ( ( big_f(Y1,Z1)
              & big_f(Y2,Z1) )
            | ( big_f(X2,Z2)
              & big_f(Y2,Z2) ) ) ) ),
    inference(assume_negation,status(cth),[church_46_17_2]) ).

fof(c1,negated_conjecture,
    ~ ! [X2] :
      ? [Y1,Y2] :
      ! [Z1,Z2] :
        ( big_f(X2,Z1)
       => ( big_f(Y1,Z2)
         => ( ( big_f(Y1,Z1)
              & big_f(Y2,Z1) )
            | ( big_f(X2,Z2)
              & big_f(Y2,Z2) ) ) ) ),
    inference(fof_simplification,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ? [X2] :
    ! [Y1,Y2] :
    ? [Z1,Z2] :
      ( big_f(X2,Z1)
      & big_f(Y1,Z2)
      & ( ~ big_f(Y1,Z1)
        | ~ big_f(Y2,Z1) )
      & ( ~ big_f(X2,Z2)
        | ~ big_f(Y2,Z2) ) ),
    inference(fof_nnf,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ? [X2] :
    ! [Y1,Y2] :
    ? [Z1] :
      ( big_f(X2,Z1)
      & ? [Z2] :
          ( big_f(Y1,Z2)
          & ( ~ big_f(Y1,Z1)
            | ~ big_f(Y2,Z1) )
          & ( ~ big_f(X2,Z2)
            | ~ big_f(Y2,Z2) ) ) ),
    inference(shift_quantors,status(thm),[c2]) ).

fof(c4,negated_conjecture,
    ? [X2] :
    ! [X3,X4] :
    ? [X5] :
      ( big_f(X2,X5)
      & ? [X6] :
          ( big_f(X3,X6)
          & ( ~ big_f(X3,X5)
            | ~ big_f(X4,X5) )
          & ( ~ big_f(X2,X6)
            | ~ big_f(X4,X6) ) ) ),
    inference(variable_rename,status(thm),[c3]) ).

fof(c5,negated_conjecture,
    ! [X3,X4] :
      ( big_f(skolem0001,skolem0002(X3,X4))
      & big_f(X3,skolem0003(X3,X4))
      & ( ~ big_f(X3,skolem0002(X3,X4))
        | ~ big_f(X4,skolem0002(X3,X4)) )
      & ( ~ big_f(skolem0001,skolem0003(X3,X4))
        | ~ big_f(X4,skolem0003(X3,X4)) ) ),
    inference(skolemize,status(esa),[c4]) ).

cnf(c6,negated_conjecture,
    big_f(skolem0001,skolem0002(X9,X10)),
    inference(split_conjunct,status(thm),[c5]) ).

cnf(c8,negated_conjecture,
    ( ~ big_f(X11,skolem0002(X11,X12))
    | ~ big_f(X12,skolem0002(X11,X12)) ),
    inference(split_conjunct,status(thm),[c5]) ).

cnf(c10,plain,
    ~ big_f(X13,skolem0002(X13,skolem0001)),
    inference(resolution,status(thm),[c8,c6]) ).

cnf(c11,plain,
    $false,
    inference(resolution,status(thm),[c10,c6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 01:17:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.52  # Version:  1.3
% 0.20/0.52  # SZS status Theorem
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  
% 0.20/0.52  # Initial clauses    : 4
% 0.20/0.52  # Processed clauses  : 4
% 0.20/0.52  # Factors computed   : 0
% 0.20/0.52  # Resolvents computed: 2
% 0.20/0.52  # Tautologies deleted: 0
% 0.20/0.52  # Forward subsumed   : 0
% 0.20/0.52  # Backward subsumed  : 0
% 0.20/0.52  # -------- CPU Time ---------
% 0.20/0.52  # User time          : 0.156 s
% 0.20/0.52  # System time        : 0.013 s
% 0.20/0.52  # Total time         : 0.169 s
%------------------------------------------------------------------------------