%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN326+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 11:27:08 EDT 2022

% Result   : Theorem 0.38s 0.58s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_12_1,conjecture,
    ? [X] :
    ! [Y,Z] :
      ( ( ( big_f(Y,Z)
         => ( big_g(Y)
           => big_h(X) ) )
       => big_f(X,X) )
     => ( ( ( big_f(Z,X)
           => big_g(X) )
         => big_h(Z) )
       => ( big_f(X,Y)
         => big_f(Z,Z) ) ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ? [X] :
      ! [Y,Z] :
        ( ( ( big_f(Y,Z)
           => ( big_g(Y)
             => big_h(X) ) )
         => big_f(X,X) )
       => ( ( ( big_f(Z,X)
             => big_g(X) )
           => big_h(Z) )
         => ( big_f(X,Y)
           => big_f(Z,Z) ) ) ),
    inference(assume_negation,status(cth),[church_46_12_1]) ).

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

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

fof(c3,negated_conjecture,
    ! [X2] :
      ( ( ( big_f(skolem0001(X2),skolem0002(X2))
          & big_g(skolem0001(X2))
          & ~ big_h(X2) )
        | big_f(X2,X2) )
      & ( ( big_f(skolem0002(X2),X2)
          & ~ big_g(X2) )
        | big_h(skolem0002(X2)) )
      & big_f(X2,skolem0001(X2))
      & ~ big_f(skolem0002(X2),skolem0002(X2)) ),
    inference(skolemize,status(esa),[c2]) ).

fof(c4,negated_conjecture,
    ! [X2] :
      ( ( big_f(skolem0001(X2),skolem0002(X2))
        | big_f(X2,X2) )
      & ( big_g(skolem0001(X2))
        | big_f(X2,X2) )
      & ( ~ big_h(X2)
        | big_f(X2,X2) )
      & ( big_f(skolem0002(X2),X2)
        | big_h(skolem0002(X2)) )
      & ( ~ big_g(X2)
        | big_h(skolem0002(X2)) )
      & big_f(X2,skolem0001(X2))
      & ~ big_f(skolem0002(X2),skolem0002(X2)) ),
    inference(distribute,status(thm),[c3]) ).

cnf(c11,negated_conjecture,
    ~ big_f(skolem0002(X8),skolem0002(X8)),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c7,negated_conjecture,
    ( ~ big_h(X6)
    | big_f(X6,X6) ),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c9,negated_conjecture,
    ( ~ big_g(X7)
    | big_h(skolem0002(X7)) ),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c6,negated_conjecture,
    ( big_g(skolem0001(X9))
    | big_f(X9,X9) ),
    inference(split_conjunct,status(thm),[c4]) ).

cnf(c13,plain,
    big_g(skolem0001(skolem0002(X11))),
    inference(resolution,status(thm),[c6,c11]) ).

cnf(c15,plain,
    big_h(skolem0002(skolem0001(skolem0002(X12)))),
    inference(resolution,status(thm),[c13,c9]) ).

cnf(c16,plain,
    big_f(skolem0002(skolem0001(skolem0002(X19))),skolem0002(skolem0001(skolem0002(X19)))),
    inference(resolution,status(thm),[c15,c7]) ).

cnf(c21,plain,
    $false,
    inference(resolution,status(thm),[c16,c11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36  % Computer : n010.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Tue Jul 12 08:43:15 EDT 2022
% 0.16/0.36  % CPUTime  : 
% 0.38/0.58  # Version:  1.3
% 0.38/0.58  # SZS status Theorem
% 0.38/0.58  # SZS output start CNFRefutation
% See solution above
% 0.38/0.58  
% 0.38/0.58  # Initial clauses    : 7
% 0.38/0.58  # Processed clauses  : 14
% 0.38/0.58  # Factors computed   : 0
% 0.38/0.58  # Resolvents computed: 10
% 0.38/0.58  # Tautologies deleted: 0
% 0.38/0.58  # Forward subsumed   : 1
% 0.38/0.58  # Backward subsumed  : 2
% 0.38/0.58  # -------- CPU Time ---------
% 0.38/0.58  # User time          : 0.199 s
% 0.38/0.58  # System time        : 0.013 s
% 0.38/0.58  # Total time         : 0.212 s
%------------------------------------------------------------------------------