TSTP Solution File: CSR103+7 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR103+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 20:15:10 EDT 2024

% Result   : Theorem 13.14s 3.06s
% Output   : CNFRefutation 13.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   24 (  11 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   24 (  11   ~;   7   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  16   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11954,axiom,
    ! [V__AMOUNT,V__UNIT] :
      ( ( s__instance(V__UNIT,s__UnitOfMeasure)
        & V__AMOUNT = s__MeasureFn("1",s__SquareUnitFn(V__UNIT)) )
    <=> V__AMOUNT = times(s__MeasureFn("1",V__UNIT),s__MeasureFn("1",V__UNIT)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55587,conjecture,
    ? [X__s__Entity] :
    ! [V_X] : s__instance(V_X,X__s__Entity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55588,negated_conjecture,
    ~ ? [X__s__Entity] :
      ! [V_X] : s__instance(V_X,X__s__Entity),
    inference(negated_conjecture,[status(cth)],[f55587]) ).

fof(f70532,plain,
    ! [V__AMOUNT,V__UNIT] :
      ( ( ~ s__instance(V__UNIT,s__UnitOfMeasure)
        | V__AMOUNT != s__MeasureFn("1",s__SquareUnitFn(V__UNIT))
        | V__AMOUNT = times(s__MeasureFn("1",V__UNIT),s__MeasureFn("1",V__UNIT)) )
      & ( ( s__instance(V__UNIT,s__UnitOfMeasure)
          & V__AMOUNT = s__MeasureFn("1",s__SquareUnitFn(V__UNIT)) )
        | V__AMOUNT != times(s__MeasureFn("1",V__UNIT),s__MeasureFn("1",V__UNIT)) ) ),
    inference(NNF_transformation,[status(esa)],[f11954]) ).

fof(f70533,plain,
    ( ! [V__AMOUNT,V__UNIT] :
        ( ~ s__instance(V__UNIT,s__UnitOfMeasure)
        | V__AMOUNT != s__MeasureFn("1",s__SquareUnitFn(V__UNIT))
        | V__AMOUNT = times(s__MeasureFn("1",V__UNIT),s__MeasureFn("1",V__UNIT)) )
    & ! [V__AMOUNT,V__UNIT] :
        ( ( s__instance(V__UNIT,s__UnitOfMeasure)
          & V__AMOUNT = s__MeasureFn("1",s__SquareUnitFn(V__UNIT)) )
        | V__AMOUNT != times(s__MeasureFn("1",V__UNIT),s__MeasureFn("1",V__UNIT)) ) ),
    inference(miniscoping,[status(esa)],[f70532]) ).

fof(f70535,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__UnitOfMeasure)
      | X1 != times(s__MeasureFn("1",X0),s__MeasureFn("1",X0)) ),
    inference(cnf_transformation,[status(esa)],[f70533]) ).

fof(f156899,plain,
    ! [X__s__Entity] :
    ? [V_X] : ~ s__instance(V_X,X__s__Entity),
    inference(pre_NNF_transformation,[status(esa)],[f55588]) ).

fof(f156900,plain,
    ! [X__s__Entity] : ~ s__instance(sk0_6542(X__s__Entity),X__s__Entity),
    inference(skolemization,[status(esa)],[f156899]) ).

fof(f156901,plain,
    ! [X0] : ~ s__instance(sk0_6542(X0),X0),
    inference(cnf_transformation,[status(esa)],[f156900]) ).

fof(f160257,plain,
    ! [X0] : s__instance(X0,s__UnitOfMeasure),
    inference(destructive_equality_resolution,[status(esa)],[f70535]) ).

fof(f167661,plain,
    $false,
    inference(resolution,[status(thm)],[f160257,f156901]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : CSR103+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n016.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue Apr 30 00:30:10 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 1.28/1.47  % Drodi V3.6.0
% 13.14/3.06  % Refutation found
% 13.14/3.06  % SZS status Theorem for theBenchmark: Theorem is valid
% 13.14/3.06  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.78/3.16  % Elapsed time: 2.840210 seconds
% 13.78/3.16  % CPU time: 11.015095 seconds
% 13.78/3.16  % Total memory used: 3.848 GB
% 13.78/3.16  % Net memory used: 3.821 GB
%------------------------------------------------------------------------------