%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n014.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 10:37:45 EDT 2023

% Result   : Theorem 0.19s 0.54s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   28 (   7 unt;  10 typ;   0 def)
%            Number of atoms       :   40 (  16 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   38 (  16   ~;  13   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   6   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn;   4   !;   0   ?;   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,
    xm: $i ).

tff(decl_30,type,
    xn: $i ).

tff(decl_31,type,
    esk1_2: ( $i * $i ) > $i ).

fof(m__,conjecture,
    ( xm != sz00
   => sdtlseqdt0(sz10,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mLENTr,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( X1 = sz00
        | X1 = sz10
        | ( sz10 != X1
          & sdtlseqdt0(sz10,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).

fof(m__987,hypothesis,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).

fof(mLERefl,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).

fof(mSortsC_01,axiom,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(c_0_5,negated_conjecture,
    ~ ( xm != sz00
     => sdtlseqdt0(sz10,xm) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,negated_conjecture,
    ( xm != sz00
    & ~ sdtlseqdt0(sz10,xm) ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

fof(c_0_7,plain,
    ! [X55] :
      ( ( sz10 != X55
        | X55 = sz00
        | X55 = sz10
        | ~ aNaturalNumber0(X55) )
      & ( sdtlseqdt0(sz10,X55)
        | X55 = sz00
        | X55 = sz10
        | ~ aNaturalNumber0(X55) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLENTr])])]) ).

cnf(c_0_8,negated_conjecture,
    ~ sdtlseqdt0(sz10,xm),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( sdtlseqdt0(sz10,X1)
    | X1 = sz00
    | X1 = sz10
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__987]) ).

cnf(c_0_11,negated_conjecture,
    xm != sz00,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    xm = sz10,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]) ).

fof(c_0_13,plain,
    ! [X41] :
      ( ~ aNaturalNumber0(X41)
      | sdtlseqdt0(X41,X41) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERefl])]) ).

cnf(c_0_14,negated_conjecture,
    ~ sdtlseqdt0(sz10,sz10),
    inference(rw,[status(thm)],[c_0_8,c_0_12]) ).

cnf(c_0_15,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    aNaturalNumber0(sz10),
    inference(split_conjunct,[status(thm)],[mSortsC_01]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n014.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   : Fri Aug 25 08:57:48 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  start to proof: theBenchmark
% 0.19/0.54  % Version  : CSE_E---1.5
% 0.19/0.54  % Problem  : theBenchmark.p
% 0.19/0.54  % Proof found
% 0.19/0.54  % SZS status Theorem for theBenchmark.p
% 0.19/0.54  % SZS output start Proof
% See solution above
% 0.19/0.54  % Total time : 0.011000 s
% 0.19/0.54  % SZS output end Proof
% 0.19/0.54  % Total time : 0.015000 s
%------------------------------------------------------------------------------