TSTP Solution File: SEU306+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU306+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 : Tue Apr 30 20:41:53 EDT 2024

% Result   : Theorem 0.20s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   18 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   7   ~;   2   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (   5   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f76,axiom,
    ! [A] :
      ( one_sorted_str(A)
     => cast_as_carrier_subset(A) = the_carrier(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f318,conjecture,
    ! [A] :
      ( one_sorted_str(A)
     => cast_as_carrier_subset(A) = the_carrier(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f319,negated_conjecture,
    ~ ! [A] :
        ( one_sorted_str(A)
       => cast_as_carrier_subset(A) = the_carrier(A) ),
    inference(negated_conjecture,[status(cth)],[f318]) ).

fof(f867,plain,
    ! [A] :
      ( ~ one_sorted_str(A)
      | cast_as_carrier_subset(A) = the_carrier(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f76]) ).

fof(f868,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(cnf_transformation,[status(esa)],[f867]) ).

fof(f1876,plain,
    ? [A] :
      ( one_sorted_str(A)
      & cast_as_carrier_subset(A) != the_carrier(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f319]) ).

fof(f1877,plain,
    ( one_sorted_str(sk0_249)
    & cast_as_carrier_subset(sk0_249) != the_carrier(sk0_249) ),
    inference(skolemization,[status(esa)],[f1876]) ).

fof(f1878,plain,
    one_sorted_str(sk0_249),
    inference(cnf_transformation,[status(esa)],[f1877]) ).

fof(f1879,plain,
    cast_as_carrier_subset(sk0_249) != the_carrier(sk0_249),
    inference(cnf_transformation,[status(esa)],[f1877]) ).

fof(f2966,plain,
    ~ one_sorted_str(sk0_249),
    inference(resolution,[status(thm)],[f868,f1879]) ).

fof(f2967,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2966,f1878]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU306+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.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 : Mon Apr 29 20:24:25 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.40  % Drodi V3.6.0
% 0.20/0.43  % Refutation found
% 0.20/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43  % Elapsed time: 0.079185 seconds
% 0.20/0.43  % CPU time: 0.150893 seconds
% 0.20/0.43  % Total memory used: 36.244 MB
% 0.20/0.43  % Net memory used: 35.914 MB
%------------------------------------------------------------------------------