%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWC146+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 21:48:05 EDT 2022

% Result   : Theorem 4.12s 4.30s
% Output   : Refutation 4.12s
% 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
                    | ~ neq(V,nil)
                    | neq(X,nil)
                    | singletonP(V) ) ) ) ) ),
    input ).

fof(c23,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( V != X
                      | U != W
                      | ~ neq(V,nil)
                      | neq(X,nil)
                      | singletonP(V) ) ) ) ) ),
    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
                      | ~ neq(V,nil)
                      | neq(X,nil)
                      | singletonP(V) ) ) ) ) ),
    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
                  & neq(V,nil)
                  & ~ neq(X,nil)
                  & ~ singletonP(V) ) ) ) ),
    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
                  & neq(X3,nil)
                  & ~ neq(X5,nil)
                  & ~ singletonP(X3) ) ) ) ),
    inference(variable_rename,status(thm),[c25]) ).

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

cnf(c35,negated_conjecture,
    ~ neq(skolem0004,nil),
    inference(split_conjunct,status(thm),[c27]) ).

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

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

cnf(c34,negated_conjecture,
    neq(skolem0002,nil),
    inference(split_conjunct,status(thm),[c27]) ).

cnf(c5,plain,
    ( X276 != X278
    | X279 != X277
    | ~ neq(X276,X279)
    | neq(X278,X277) ),
    eq_axiom ).

cnf(c553,plain,
    ( skolem0002 != X721
    | nil != X720
    | neq(X721,X720) ),
    inference(resolution,status(thm),[c5,c34]) ).

cnf(c19702,plain,
    ( skolem0002 != X722
    | neq(X722,nil) ),
    inference(resolution,status(thm),[c553,reflexivity]) ).

cnf(c19706,plain,
    neq(skolem0004,nil),
    inference(resolution,status(thm),[c19702,c32]) ).

cnf(c19710,plain,
    $false,
    inference(resolution,status(thm),[c19706,c35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWC146+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n029.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 : Sun Jun 12 07:20:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 4.12/4.30  # Version:  1.3
% 4.12/4.30  # SZS status Theorem
% 4.12/4.30  # SZS output start CNFRefutation
% See solution above
% 4.12/4.30  
% 4.12/4.30  # Initial clauses    : 225
% 4.12/4.30  # Processed clauses  : 816
% 4.12/4.30  # Factors computed   : 0
% 4.12/4.30  # Resolvents computed: 19205
% 4.12/4.30  # Tautologies deleted: 13
% 4.12/4.30  # Forward subsumed   : 247
% 4.12/4.30  # Backward subsumed  : 0
% 4.12/4.30  # -------- CPU Time ---------
% 4.12/4.30  # User time          : 3.922 s
% 4.12/4.30  # System time        : 0.042 s
% 4.12/4.30  # Total time         : 3.964 s
%------------------------------------------------------------------------------