TSTP Solution File: SWV392+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 17:44:53 EDT 2024

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   26 (   5 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  11   ~;   2   |;   9   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   16 (   1 sgn   9   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax20,axiom,
    ! [U] : ~ contains_slb(create_slb,U),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax20) ).

fof(c60,plain,
    ! [U] : ~ contains_slb(create_slb,U),
    inference(fof_simplification,[status(thm)],[ax20]) ).

fof(c61,plain,
    ! [X48] : ~ contains_slb(create_slb,X48),
    inference(variable_rename,[status(thm)],[c60]) ).

cnf(c62,plain,
    ~ contains_slb(create_slb,X65),
    inference(split_conjunct,[status(thm)],[c61]) ).

fof(l28_co,conjecture,
    ! [U,V] :
      ( pair_in_list(create_slb,U,V)
     => ! [W] :
          ( contains_slb(create_slb,W)
         => ( pair_in_list(remove_slb(create_slb,W),U,V)
            | U = W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_co) ).

fof(c10,negated_conjecture,
    ~ ! [U,V] :
        ( pair_in_list(create_slb,U,V)
       => ! [W] :
            ( contains_slb(create_slb,W)
           => ( pair_in_list(remove_slb(create_slb,W),U,V)
              | U = W ) ) ),
    inference(assume_negation,[status(cth)],[l28_co]) ).

fof(c11,negated_conjecture,
    ? [U,V] :
      ( pair_in_list(create_slb,U,V)
      & ? [W] :
          ( contains_slb(create_slb,W)
          & ~ pair_in_list(remove_slb(create_slb,W),U,V)
          & U != W ) ),
    inference(fof_nnf,[status(thm)],[c10]) ).

fof(c12,negated_conjecture,
    ? [X2,X3] :
      ( pair_in_list(create_slb,X2,X3)
      & ? [X4] :
          ( contains_slb(create_slb,X4)
          & ~ pair_in_list(remove_slb(create_slb,X4),X2,X3)
          & X2 != X4 ) ),
    inference(variable_rename,[status(thm)],[c11]) ).

fof(c13,negated_conjecture,
    ( pair_in_list(create_slb,skolem0001,skolem0002)
    & contains_slb(create_slb,skolem0003)
    & ~ pair_in_list(remove_slb(create_slb,skolem0003),skolem0001,skolem0002)
    & skolem0001 != skolem0003 ),
    inference(skolemize,[status(esa)],[c12]) ).

cnf(c15,negated_conjecture,
    contains_slb(create_slb,skolem0003),
    inference(split_conjunct,[status(thm)],[c13]) ).

cnf(c86,plain,
    $false,
    inference(resolution,[status(thm)],[c15,c62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n019.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  : 300
% 0.14/0.35  % DateTime : Thu May  9 06:32:38 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.20/0.57  % Version:  1.5
% 0.20/0.57  % SZS status Theorem
% 0.20/0.57  % SZS output start CNFRefutation
% See solution above
% 0.20/0.57  
% 0.20/0.57  % Initial clauses    : 42
% 0.20/0.57  % Processed clauses  : 7
% 0.20/0.57  % Factors computed   : 0
% 0.20/0.57  % Resolvents computed: 2
% 0.20/0.57  % Tautologies deleted: 0
% 0.20/0.57  % Forward subsumed   : 1
% 0.20/0.57  % Backward subsumed  : 0
% 0.20/0.57  % -------- CPU Time ---------
% 0.20/0.57  % User time          : 0.192 s
% 0.20/0.57  % System time        : 0.017 s
% 0.20/0.57  % Total time         : 0.209 s
%------------------------------------------------------------------------------