%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ITP001+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 03:10:04 EDT 2023

% Result   : Theorem 0.20s 0.56s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   16 (   4 unt;  12 typ;   0 def)
%            Number of atoms       :    4 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (   9   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    bool: $i ).

tff(decl_23,type,
    ne: $i > $o ).

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

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

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

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

tff(decl_28,type,
    p: $i > $o ).

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

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

tff(decl_31,type,
    c_2Ebool_2ET: $i ).

tff(decl_32,type,
    c_2Emin_2E_3D: $i > $i ).

tff(decl_33,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

fof(conj_thm_2Ebool_2ETRUTH,conjecture,
    $true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2ETRUTH) ).

fof(c_0_1,negated_conjecture,
    ~ $true,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_thm_2Ebool_2ETRUTH])]) ).

cnf(c_0_2,negated_conjecture,
    $false,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_3,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[c_0_2]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP001+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n009.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   : Sun Aug 27 12:10:50 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.55  start to proof: theBenchmark
% 0.20/0.56  % Version  : CSE_E---1.5
% 0.20/0.56  % Problem  : theBenchmark.p
% 0.20/0.56  % Proof found
% 0.20/0.56  % SZS status Theorem for theBenchmark.p
% 0.20/0.56  % SZS output start Proof
% See solution above
% 0.20/0.56  % Total time : 0.004000 s
% 0.20/0.56  % SZS output end Proof
% 0.20/0.56  % Total time : 0.007000 s
%------------------------------------------------------------------------------