%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 11:27:12 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_14_3,conjecture,
    ? [X,Y] :
    ! [Z] :
      ( big_f(X,Z)
     => ( big_f(Y,Z)
       => ( ( big_f(X,Y)
          <=> big_f(Z,Z) )
         => ( ( big_f(Y,X)
              | big_f(Z,Z) )
           => ( big_f(Z,X)
              | big_f(Z,Y) ) ) ) ) ),
    input ).

fof(c0,negated_conjecture,
    ~ ? [X,Y] :
      ! [Z] :
        ( big_f(X,Z)
       => ( big_f(Y,Z)
         => ( ( big_f(X,Y)
            <=> big_f(Z,Z) )
           => ( ( big_f(Y,X)
                | big_f(Z,Z) )
             => ( big_f(Z,X)
                | big_f(Z,Y) ) ) ) ) ),
    inference(assume_negation,status(cth),[church_46_14_3]) ).

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

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

fof(c3,negated_conjecture,
    ! [X2,X3] :
      ( big_f(X2,skolem0001(X2,X3))
      & big_f(X3,skolem0001(X2,X3))
      & ( ~ big_f(X2,X3)
        | big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
      & ( ~ big_f(skolem0001(X2,X3),skolem0001(X2,X3))
        | big_f(X2,X3) )
      & ( big_f(X3,X2)
        | big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
      & ~ big_f(skolem0001(X2,X3),X2)
      & ~ big_f(skolem0001(X2,X3),X3) ),
    inference(skolemize,status(esa),[c2]) ).

cnf(c9,negated_conjecture,
    ~ big_f(skolem0001(X9,X10),X9),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c7,negated_conjecture,
    ( ~ big_f(skolem0001(X15,X16),skolem0001(X15,X16))
    | big_f(X15,X16) ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c8,negated_conjecture,
    ( big_f(X18,X17)
    | big_f(skolem0001(X17,X18),skolem0001(X17,X18)) ),
    inference(split_conjunct,status(thm),[c3]) ).

cnf(c17,plain,
    ( big_f(X19,X20)
    | big_f(X20,X19) ),
    inference(resolution,status(thm),[c8,c7]) ).

cnf(c19,plain,
    big_f(X21,X21),
    inference(factor,status(thm),[c17]) ).

cnf(c28,plain,
    big_f(X23,X22),
    inference(resolution,status(thm),[c19,c7]) ).

cnf(c29,plain,
    $false,
    inference(resolution,status(thm),[c28,c9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN331+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 : n007.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 19:40:48 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    : 7
% 0.18/0.50  # Processed clauses  : 10
% 0.18/0.50  # Factors computed   : 1
% 0.18/0.50  # Resolvents computed: 19
% 0.18/0.50  # Tautologies deleted: 0
% 0.18/0.50  # Forward subsumed   : 0
% 0.18/0.50  # Backward subsumed  : 7
% 0.18/0.50  # -------- CPU Time ---------
% 0.18/0.50  # User time          : 0.163 s
% 0.18/0.50  # System time        : 0.008 s
% 0.18/0.50  # Total time         : 0.171 s
%------------------------------------------------------------------------------