%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWC036+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 0.77s 0.95s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   70 (  49 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   73 (  22   ~;  17   |;  26   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   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   :   23 (   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
                    | nil = U
                    | ( nil != W
                      & nil = X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/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
                      | nil = U
                      | ( nil != W
                        & nil = X ) ) ) ) ) ),
    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
                  & nil != U
                  & ( nil = W
                    | nil != X ) ) ) ) ),
    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
                  & nil != X2
                  & ( nil = X4
                    | nil != X5 ) ) ) ) ),
    inference(variable_rename,[status(thm)],[c24]) ).

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

cnf(c34,negated_conjecture,
    nil != skolem0001,
    inference(split_conjunct,[status(thm)],[c26]) ).

cnf(c35,negated_conjecture,
    ( nil = skolem0003
    | nil != skolem0004 ),
    inference(split_conjunct,[status(thm)],[c26]) ).

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

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

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

cnf(c515,plain,
    ( X385 != skolem0002
    | X385 = skolem0004 ),
    inference(resolution,[status(thm)],[c32,transitivity]) ).

cnf(c745,plain,
    nil = skolem0004,
    inference(resolution,[status(thm)],[c515,c31]) ).

cnf(c748,plain,
    nil = skolem0003,
    inference(resolution,[status(thm)],[c745,c35]) ).

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

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

cnf(c517,plain,
    skolem0003 = skolem0001,
    inference(resolution,[status(thm)],[c33,symmetry]) ).

cnf(c534,plain,
    ( X434 != skolem0003
    | X434 = skolem0001 ),
    inference(resolution,[status(thm)],[c517,transitivity]) ).

cnf(c977,plain,
    nil = skolem0001,
    inference(resolution,[status(thm)],[c534,c748]) ).

cnf(c1035,plain,
    $false,
    inference(resolution,[status(thm)],[c977,c34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC036+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  9 02:50:38 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.77/0.95  % Version:  1.5
% 0.77/0.95  % SZS status Theorem
% 0.77/0.95  % SZS output start CNFRefutation
% See solution above
% 0.77/0.95  
% 0.77/0.95  % Initial clauses    : 225
% 0.77/0.95  % Processed clauses  : 258
% 0.77/0.95  % Factors computed   : 12
% 0.77/0.95  % Resolvents computed: 521
% 0.77/0.95  % Tautologies deleted: 14
% 0.77/0.95  % Forward subsumed   : 104
% 0.77/0.95  % Backward subsumed  : 43
% 0.77/0.95  % -------- CPU Time ---------
% 0.77/0.95  % User time          : 0.592 s
% 0.77/0.95  % System time        : 0.017 s
% 0.77/0.95  % Total time         : 0.609 s
%------------------------------------------------------------------------------