%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWC035+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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  : 300s
% DateTime : Thu May  9 17:43:07 EDT 2024

% Result   : Theorem 0.80s 0.98s
% Output   : Refutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :   66 (  45 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   65 (  19   ~;  14   |;  24   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   24 (   0 sgn   8   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ssList(X)
                 => ( nil != V
                    | V != X
                    | U != W
                    | X != W
                    | nil = U ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

fof(c24,negated_conjecture,
    ? [U] :
      ( ssList(U)
      & ? [V] :
          ( ssList(V)
          & ? [W] :
              ( ssList(W)
              & ? [X] :
                  ( ssList(X)
                  & nil = V
                  & V = X
                  & U = W
                  & X = W
                  & nil != U ) ) ) ),
    inference(fof_nnf,[status(thm)],[c23]) ).

fof(c25,negated_conjecture,
    ? [X2] :
      ( ssList(X2)
      & ? [X3] :
          ( ssList(X3)
          & ? [X4] :
              ( ssList(X4)
              & ? [X5] :
                  ( ssList(X5)
                  & nil = X3
                  & X3 = X5
                  & X2 = X4
                  & X5 = X4
                  & nil != X2 ) ) ) ),
    inference(variable_rename,[status(thm)],[c24]) ).

fof(c26,negated_conjecture,
    ( ssList(skolem0001)
    & ssList(skolem0002)
    & ssList(skolem0003)
    & ssList(skolem0004)
    & nil = skolem0002
    & skolem0002 = skolem0004
    & skolem0001 = skolem0003
    & skolem0004 = skolem0003
    & nil != skolem0001 ),
    inference(skolemize,[status(esa)],[c25]) ).

cnf(c35,negated_conjecture,
    nil != skolem0001,
    inference(split_conjunct,[status(thm)],[c26]) ).

cnf(c31,negated_conjecture,
    nil = skolem0002,
    inference(split_conjunct,[status(thm)],[c26]) ).

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

cnf(c32,negated_conjecture,
    skolem0002 = skolem0004,
    inference(split_conjunct,[status(thm)],[c26]) ).

cnf(c514,plain,
    ( X403 != skolem0002
    | X403 = skolem0004 ),
    inference(resolution,[status(thm)],[c32,transitivity]) ).

cnf(c811,plain,
    nil = skolem0004,
    inference(resolution,[status(thm)],[c514,c31]) ).

cnf(c34,negated_conjecture,
    skolem0004 = skolem0003,
    inference(split_conjunct,[status(thm)],[c26]) ).

cnf(c526,plain,
    ( X412 != skolem0004
    | X412 = skolem0003 ),
    inference(resolution,[status(thm)],[c34,transitivity]) ).

cnf(c878,plain,
    nil = skolem0003,
    inference(resolution,[status(thm)],[c526,c811]) ).

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

cnf(c33,negated_conjecture,
    skolem0001 = skolem0003,
    inference(split_conjunct,[status(thm)],[c26]) ).

cnf(c516,plain,
    skolem0003 = skolem0001,
    inference(resolution,[status(thm)],[c33,symmetry]) ).

cnf(c547,plain,
    ( X443 != skolem0003
    | X443 = skolem0001 ),
    inference(resolution,[status(thm)],[c516,transitivity]) ).

cnf(c1120,plain,
    nil = skolem0001,
    inference(resolution,[status(thm)],[c547,c878]) ).

cnf(c1138,plain,
    $false,
    inference(resolution,[status(thm)],[c1120,c35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWC035+1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May  9 03:18:53 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.80/0.98  % Version:  1.5
% 0.80/0.98  % SZS status Theorem
% 0.80/0.98  % SZS output start CNFRefutation
% See solution above
% 0.80/0.98  
% 0.80/0.98  % Initial clauses    : 225
% 0.80/0.98  % Processed clauses  : 259
% 0.80/0.98  % Factors computed   : 13
% 0.80/0.98  % Resolvents computed: 630
% 0.80/0.98  % Tautologies deleted: 14
% 0.80/0.98  % Forward subsumed   : 114
% 0.80/0.98  % Backward subsumed  : 35
% 0.80/0.98  % -------- CPU Time ---------
% 0.80/0.98  % User time          : 0.585 s
% 0.80/0.98  % System time        : 0.010 s
% 0.80/0.98  % Total time         : 0.595 s
%------------------------------------------------------------------------------