%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM472+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n008.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 Aug 31 10:37:49 EDT 2023

% Result   : Theorem 0.19s 0.59s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   29 (   3 unt;  19 typ;   0 def)
%            Number of atoms       :   22 (   8 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   20 (   8   ~;   5   |;   7   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  10   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn;   1   !;   2   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    aNaturalNumber0: $i > $o ).

tff(decl_23,type,
    sz00: $i ).

tff(decl_24,type,
    sz10: $i ).

tff(decl_25,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(decl_26,type,
    sdtasdt0: ( $i * $i ) > $i ).

tff(decl_27,type,
    sdtlseqdt0: ( $i * $i ) > $o ).

tff(decl_28,type,
    sdtmndt0: ( $i * $i ) > $i ).

tff(decl_29,type,
    iLess0: ( $i * $i ) > $o ).

tff(decl_30,type,
    doDivides0: ( $i * $i ) > $o ).

tff(decl_31,type,
    sdtsldt0: ( $i * $i ) > $i ).

tff(decl_32,type,
    xl: $i ).

tff(decl_33,type,
    xm: $i ).

tff(decl_34,type,
    xn: $i ).

tff(decl_35,type,
    xp: $i ).

tff(decl_36,type,
    xq: $i ).

tff(decl_37,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_38,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_39,type,
    esk3_0: $i ).

tff(decl_40,type,
    esk4_0: $i ).

fof(m__,conjecture,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(xm,X1) = sdtpldt0(xm,xn) )
    | sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__1379,hypothesis,
    ( aNaturalNumber0(xq)
    & sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    & xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).

fof(m__1324,hypothesis,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).

fof(c_0_3,negated_conjecture,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & sdtpldt0(xm,X1) = sdtpldt0(xm,xn) )
      | sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,negated_conjecture,
    ! [X75] :
      ( ( ~ aNaturalNumber0(X75)
        | sdtpldt0(xm,X75) != sdtpldt0(xm,xn) )
      & ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ aNaturalNumber0(X1)
    | sdtpldt0(xm,X1) != sdtpldt0(xm,xn) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

cnf(c_0_7,negated_conjecture,
    ( sdtpldt0(xm,X1) != sdtasdt0(xl,xq)
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_6]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM472+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n008.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   : Fri Aug 25 16:33:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.57  start to proof: theBenchmark
% 0.19/0.59  % Version  : CSE_E---1.5
% 0.19/0.59  % Problem  : theBenchmark.p
% 0.19/0.59  % Proof found
% 0.19/0.59  % SZS status Theorem for theBenchmark.p
% 0.19/0.59  % SZS output start Proof
% See solution above
% 0.19/0.59  % Total time : 0.007000 s
% 0.19/0.59  % SZS output end Proof
% 0.19/0.59  % Total time : 0.010000 s
%------------------------------------------------------------------------------