TSTP Solution File: NUM434+3 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM434+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 17:35:47 EDT 2024

% Result   : Theorem 0.39s 0.62s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   29 (  12 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   28 (  11   ~;   3   |;  14   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn   2   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1003,plain,
    ( sdtasdt0(xp,xq) != sz00
    & ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) )
    & aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1003) ).

fof(c10,plain,
    ( sdtasdt0(xp,xq) != sz00
    & ? [X3] :
        ( aInteger0(X3)
        & sdtasdt0(sdtasdt0(xp,xq),X3) = sdtpldt0(xa,smndt0(xb)) )
    & aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
    inference(variable_rename,[status(thm)],[m__1003]) ).

fof(c11,plain,
    ( sdtasdt0(xp,xq) != sz00
    & aInteger0(skolem0001)
    & sdtasdt0(sdtasdt0(xp,xq),skolem0001) = sdtpldt0(xa,smndt0(xb))
    & aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
    inference(skolemize,[status(esa)],[c10]) ).

cnf(c13,plain,
    aInteger0(skolem0001),
    inference(split_conjunct,[status(thm)],[c11]) ).

fof(m__,conjecture,
    ? [W0] :
      ( aInteger0(W0)
      & sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(c6,negated_conjecture,
    ~ ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c7,negated_conjecture,
    ! [W0] :
      ( ~ aInteger0(W0)
      | sdtasdt0(sdtasdt0(xp,xq),W0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(fof_nnf,[status(thm)],[c6]) ).

fof(c8,negated_conjecture,
    ! [X2] :
      ( ~ aInteger0(X2)
      | sdtasdt0(sdtasdt0(xp,xq),X2) != sdtpldt0(xa,smndt0(xb)) ),
    inference(variable_rename,[status(thm)],[c7]) ).

cnf(c9,negated_conjecture,
    ( ~ aInteger0(X84)
    | sdtasdt0(sdtasdt0(xp,xq),X84) != sdtpldt0(xa,smndt0(xb)) ),
    inference(split_conjunct,[status(thm)],[c8]) ).

cnf(c14,plain,
    sdtasdt0(sdtasdt0(xp,xq),skolem0001) = sdtpldt0(xa,smndt0(xb)),
    inference(split_conjunct,[status(thm)],[c11]) ).

cnf(c227,plain,
    ~ aInteger0(skolem0001),
    inference(resolution,[status(thm)],[c14,c9]) ).

cnf(c232,plain,
    $false,
    inference(resolution,[status(thm)],[c227,c13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM434+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 16:07:23 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.39/0.62  % Version:  1.5
% 0.39/0.62  % SZS status Theorem
% 0.39/0.62  % SZS output start CNFRefutation
% See solution above
% 0.39/0.62  
% 0.39/0.62  % Initial clauses    : 54
% 0.39/0.62  % Processed clauses  : 56
% 0.39/0.62  % Factors computed   : 3
% 0.39/0.62  % Resolvents computed: 124
% 0.39/0.62  % Tautologies deleted: 3
% 0.39/0.62  % Forward subsumed   : 2
% 0.39/0.62  % Backward subsumed  : 0
% 0.39/0.62  % -------- CPU Time ---------
% 0.39/0.62  % User time          : 0.249 s
% 0.39/0.62  % System time        : 0.015 s
% 0.39/0.62  % Total time         : 0.264 s
%------------------------------------------------------------------------------