%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWC203+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Tue Jul 19 21:48:23 EDT 2022

% Result   : Theorem 17.29s 17.50s
% Output   : Refutation 17.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ssList(X)
                 => ( V != X
                    | U != W
                    | X != W
                    | ~ neq(V,nil)
                    | neq(U,nil) ) ) ) ) ),
    input ).

fof(c23,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( V != X
                      | U != W
                      | X != W
                      | ~ neq(V,nil)
                      | neq(U,nil) ) ) ) ) ),
    inference(assume_negation,status(cth),[co1]) ).

fof(c24,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( V != X
                      | U != W
                      | X != W
                      | ~ neq(V,nil)
                      | neq(U,nil) ) ) ) ) ),
    inference(fof_simplification,status(thm),[c23]) ).

fof(c25,negated_conjecture,
    ? [U] :
      ( ssList(U)
      & ? [V] :
          ( ssList(V)
          & ? [W] :
              ( ssList(W)
              & ? [X] :
                  ( ssList(X)
                  & V = X
                  & U = W
                  & X = W
                  & neq(V,nil)
                  & ~ neq(U,nil) ) ) ) ),
    inference(fof_nnf,status(thm),[c24]) ).

fof(c26,negated_conjecture,
    ? [X2] :
      ( ssList(X2)
      & ? [X3] :
          ( ssList(X3)
          & ? [X4] :
              ( ssList(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & X3 = X5
                  & X2 = X4
                  & X5 = X4
                  & neq(X3,nil)
                  & ~ neq(X2,nil) ) ) ) ),
    inference(variable_rename,status(thm),[c25]) ).

fof(c27,negated_conjecture,
    ( ssList(skolem0001)
    & ssList(skolem0002)
    & ssList(skolem0003)
    & ssList(skolem0004)
    & skolem0002 = skolem0004
    & skolem0001 = skolem0003
    & skolem0004 = skolem0003
    & neq(skolem0002,nil)
    & ~ neq(skolem0001,nil) ),
    inference(skolemize,status(esa),[c26]) ).

cnf(c36,negated_conjecture,
    ~ neq(skolem0001,nil),
    inference(split_conjunct,status(thm),[c27]) ).

cnf(c32,negated_conjecture,
    skolem0002 = skolem0004,
    inference(split_conjunct,status(thm),[c27]) ).

cnf(transitivity,axiom,
    ( X255 != X253
    | X253 != X254
    | X255 = X254 ),
    eq_axiom ).

cnf(c34,negated_conjecture,
    skolem0004 = skolem0003,
    inference(split_conjunct,status(thm),[c27]) ).

cnf(c517,plain,
    ( X380 != skolem0004
    | X380 = skolem0003 ),
    inference(resolution,status(thm),[c34,transitivity]) ).

cnf(c715,plain,
    skolem0002 = skolem0003,
    inference(resolution,status(thm),[c517,c32]) ).

cnf(symmetry,axiom,
    ( X252 != X251
    | X251 = X252 ),
    eq_axiom ).

cnf(c33,negated_conjecture,
    skolem0001 = skolem0003,
    inference(split_conjunct,status(thm),[c27]) ).

cnf(c513,plain,
    skolem0003 = skolem0001,
    inference(resolution,status(thm),[c33,symmetry]) ).

cnf(c529,plain,
    ( X396 != skolem0003
    | X396 = skolem0001 ),
    inference(resolution,status(thm),[c513,transitivity]) ).

cnf(c777,plain,
    skolem0002 = skolem0001,
    inference(resolution,status(thm),[c529,c715]) ).

cnf(reflexivity,axiom,
    X250 = X250,
    eq_axiom ).

cnf(c35,negated_conjecture,
    neq(skolem0002,nil),
    inference(split_conjunct,status(thm),[c27]) ).

cnf(c5,plain,
    ( X278 != X277
    | X276 != X275
    | ~ neq(X278,X276)
    | neq(X277,X275) ),
    eq_axiom ).

cnf(c562,plain,
    ( skolem0002 != X732
    | nil != X733
    | neq(X732,X733) ),
    inference(resolution,status(thm),[c5,c35]) ).

cnf(c22025,plain,
    ( skolem0002 != X859
    | neq(X859,nil) ),
    inference(resolution,status(thm),[c562,reflexivity]) ).

cnf(c40345,plain,
    neq(skolem0001,nil),
    inference(resolution,status(thm),[c22025,c777]) ).

cnf(c40357,plain,
    $false,
    inference(resolution,status(thm),[c40345,c36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC203+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 17:10:03 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 17.29/17.50  # Version:  1.3
% 17.29/17.50  # SZS status Theorem
% 17.29/17.50  # SZS output start CNFRefutation
% See solution above
% 17.29/17.50  
% 17.29/17.50  # Initial clauses    : 225
% 17.29/17.50  # Processed clauses  : 1220
% 17.29/17.50  # Factors computed   : 0
% 17.29/17.50  # Resolvents computed: 39853
% 17.29/17.50  # Tautologies deleted: 15
% 17.29/17.50  # Forward subsumed   : 771
% 17.29/17.50  # Backward subsumed  : 0
% 17.29/17.50  # -------- CPU Time ---------
% 17.29/17.50  # User time          : 17.040 s
% 17.29/17.50  # System time        : 0.083 s
% 17.29/17.50  # Total time         : 17.123 s
%------------------------------------------------------------------------------