%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN336+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 11:27:15 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(church_46_15_1,conjecture,
    ! [X] :
    ? [Y1,Y2] :
    ! [Z] :
      ( big_f(X,Z)
     => ( big_f(Y1,Z)
       => ( big_f(Y2,Z)
         => ( big_f(Y1,X)
           => big_f(Z,Y2) ) ) ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ! [X] :
      ? [Y1,Y2] :
      ! [Z] :
        ( big_f(X,Z)
       => ( big_f(Y1,Z)
         => ( big_f(Y2,Z)
           => ( big_f(Y1,X)
             => big_f(Z,Y2) ) ) ) ),
    inference(assume_negation,status(cth),[church_46_15_1]) ).

fof(c1,negated_conjecture,
    ? [X] :
    ! [Y1,Y2] :
    ? [Z] :
      ( big_f(X,Z)
      & big_f(Y1,Z)
      & big_f(Y2,Z)
      & big_f(Y1,X)
      & ~ big_f(Z,Y2) ),
    inference(fof_nnf,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ? [X2] :
    ! [X3,X4] :
    ? [X5] :
      ( big_f(X2,X5)
      & big_f(X3,X5)
      & big_f(X4,X5)
      & big_f(X3,X2)
      & ~ big_f(X5,X4) ),
    inference(variable_rename,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ! [X3,X4] :
      ( big_f(skolem0001,skolem0002(X3,X4))
      & big_f(X3,skolem0002(X3,X4))
      & big_f(X4,skolem0002(X3,X4))
      & big_f(X3,skolem0001)
      & ~ big_f(skolem0002(X3,X4),X4) ),
    inference(skolemize,status(esa),[c2]) ).

cnf(c7,negated_conjecture,
    big_f(X6,skolem0001),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c8,negated_conjecture,
    ~ big_f(skolem0002(X11,X12),X12),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c9,plain,
    $false,
    inference(resolution,status(thm),[c8,c7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN336+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 : n017.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 22:23:49 EDT 2022
% 0.12/0.33  % 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    : 5
% 0.18/0.50  # Processed clauses  : 4
% 0.18/0.50  # Factors computed   : 0
% 0.18/0.50  # Resolvents computed: 1
% 0.18/0.50  # Tautologies deleted: 0
% 0.18/0.50  # Forward subsumed   : 0
% 0.18/0.50  # Backward subsumed  : 0
% 0.18/0.50  # -------- CPU Time ---------
% 0.18/0.50  # User time          : 0.154 s
% 0.18/0.50  # System time        : 0.011 s
% 0.18/0.50  # Total time         : 0.165 s
%------------------------------------------------------------------------------