TSTP Solution File: RNG050+1 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 17:38:17 EDT 2024

% Result   : Theorem 5.82s 6.07s
% Output   : Refutation 5.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   67 (  30 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   67 (  30   ~;  27   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( aDimensionOf0(xs) != sz00
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
   => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(c13,negated_conjecture,
    ~ ( ( aDimensionOf0(xs) != sz00
       => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c14,negated_conjecture,
    ( ( aDimensionOf0(xs) = sz00
      | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
    & ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(fof_nnf,[status(thm)],[c13]) ).

cnf(c16,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(split_conjunct,[status(thm)],[c14]) ).

cnf(reflexivity,axiom,
    X66 = X66,
    theory(equality) ).

fof(mSZeroSc,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).

cnf(c126,plain,
    aScalar0(sz0z00),
    inference(split_conjunct,[status(thm)],[mSZeroSc]) ).

fof(mLERef,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => sdtlseqdt0(W0,W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).

fof(c78,plain,
    ! [W0] :
      ( ~ aScalar0(W0)
      | sdtlseqdt0(W0,W0) ),
    inference(fof_nnf,[status(thm)],[mLERef]) ).

fof(c79,plain,
    ! [X39] :
      ( ~ aScalar0(X39)
      | sdtlseqdt0(X39,X39) ),
    inference(variable_rename,[status(thm)],[c78]) ).

cnf(c80,plain,
    ( ~ aScalar0(X67)
    | sdtlseqdt0(X67,X67) ),
    inference(split_conjunct,[status(thm)],[c79]) ).

cnf(c151,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(resolution,[status(thm)],[c80,c126]) ).

cnf(c11,axiom,
    ( X128 != X130
    | X129 != X131
    | ~ sdtlseqdt0(X128,X129)
    | sdtlseqdt0(X130,X131) ),
    theory(equality) ).

cnf(c291,plain,
    ( sz0z00 != X278
    | sz0z00 != X277
    | sdtlseqdt0(X278,X277) ),
    inference(resolution,[status(thm)],[c11,c151]) ).

cnf(symmetry,axiom,
    ( X69 != X68
    | X68 = X69 ),
    theory(equality) ).

fof(m__1542,plain,
    aVector0(xs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).

cnf(c20,plain,
    aVector0(xs),
    inference(split_conjunct,[status(thm)],[m__1542]) ).

cnf(c15,negated_conjecture,
    ( aDimensionOf0(xs) = sz00
    | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(split_conjunct,[status(thm)],[c14]) ).

cnf(c333,plain,
    aDimensionOf0(xs) = sz00,
    inference(resolution,[status(thm)],[c15,c16]) ).

fof(mDefSPZ,axiom,
    ! [W0,W1] :
      ( ( aVector0(W0)
        & aVector0(W1) )
     => ( ( aDimensionOf0(W0) = aDimensionOf0(W1)
          & aDimensionOf0(W1) = sz00 )
       => sdtasasdt0(W0,W1) = sz0z00 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).

fof(c24,plain,
    ! [W0,W1] :
      ( ~ aVector0(W0)
      | ~ aVector0(W1)
      | aDimensionOf0(W0) != aDimensionOf0(W1)
      | aDimensionOf0(W1) != sz00
      | sdtasasdt0(W0,W1) = sz0z00 ),
    inference(fof_nnf,[status(thm)],[mDefSPZ]) ).

fof(c25,plain,
    ! [X5,X6] :
      ( ~ aVector0(X5)
      | ~ aVector0(X6)
      | aDimensionOf0(X5) != aDimensionOf0(X6)
      | aDimensionOf0(X6) != sz00
      | sdtasasdt0(X5,X6) = sz0z00 ),
    inference(variable_rename,[status(thm)],[c24]) ).

cnf(c26,plain,
    ( ~ aVector0(X143)
    | ~ aVector0(X142)
    | aDimensionOf0(X143) != aDimensionOf0(X142)
    | aDimensionOf0(X142) != sz00
    | sdtasasdt0(X143,X142) = sz0z00 ),
    inference(split_conjunct,[status(thm)],[c25]) ).

cnf(c401,plain,
    ( ~ aVector0(X420)
    | aDimensionOf0(X420) != sz00
    | sdtasasdt0(X420,X420) = sz0z00 ),
    inference(resolution,[status(thm)],[c26,reflexivity]) ).

cnf(c15405,plain,
    ( ~ aVector0(xs)
    | sdtasasdt0(xs,xs) = sz0z00 ),
    inference(resolution,[status(thm)],[c401,c333]) ).

cnf(c17687,plain,
    sdtasasdt0(xs,xs) = sz0z00,
    inference(resolution,[status(thm)],[c15405,c20]) ).

cnf(c17742,plain,
    sz0z00 = sdtasasdt0(xs,xs),
    inference(resolution,[status(thm)],[c17687,symmetry]) ).

cnf(c17795,plain,
    ( sz0z00 != X474
    | sdtlseqdt0(X474,sdtasasdt0(xs,xs)) ),
    inference(resolution,[status(thm)],[c17742,c291]) ).

cnf(c19731,plain,
    sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(resolution,[status(thm)],[c17795,reflexivity]) ).

cnf(c19755,plain,
    $false,
    inference(resolution,[status(thm)],[c19731,c16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n005.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 : Wed May  8 21:25:23 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 5.82/6.07  % Version:  1.5
% 5.82/6.07  % SZS status Theorem
% 5.82/6.07  % SZS output start CNFRefutation
% See solution above
% 5.82/6.07  
% 5.82/6.07  % Initial clauses    : 75
% 5.82/6.07  % Processed clauses  : 713
% 5.82/6.07  % Factors computed   : 35
% 5.82/6.07  % Resolvents computed: 19571
% 5.82/6.07  % Tautologies deleted: 6
% 5.82/6.07  % Forward subsumed   : 297
% 5.82/6.07  % Backward subsumed  : 7
% 5.82/6.07  % -------- CPU Time ---------
% 5.82/6.07  % User time          : 5.638 s
% 5.82/6.07  % System time        : 0.054 s
% 5.82/6.07  % Total time         : 5.692 s
%------------------------------------------------------------------------------