%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : RNG074+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 : 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 13:48:56 EDT 2023

% Result   : Theorem 0.50s 0.57s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   42 (   9 unt;  33 typ;   0 def)
%            Number of atoms       :    9 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  15   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  18 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    szszuzczcdt0: $i > $i ).

tff(decl_25,type,
    iLess0: ( $i * $i ) > $o ).

tff(decl_26,type,
    aScalar0: $i > $o ).

tff(decl_27,type,
    sz0z00: $i ).

tff(decl_28,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(decl_29,type,
    sdtasdt0: ( $i * $i ) > $i ).

tff(decl_30,type,
    smndt0: $i > $i ).

tff(decl_31,type,
    sdtlseqdt0: ( $i * $i ) > $o ).

tff(decl_32,type,
    aVector0: $i > $o ).

tff(decl_33,type,
    aDimensionOf0: $i > $i ).

tff(decl_34,type,
    sdtlbdtrb0: ( $i * $i ) > $i ).

tff(decl_35,type,
    sziznziztdt0: $i > $i ).

tff(decl_36,type,
    sdtasasdt0: ( $i * $i ) > $i ).

tff(decl_37,type,
    xs: $i ).

tff(decl_38,type,
    xt: $i ).

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

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

tff(decl_41,type,
    xA: $i ).

tff(decl_42,type,
    xB: $i ).

tff(decl_43,type,
    xC: $i ).

tff(decl_44,type,
    xD: $i ).

tff(decl_45,type,
    xE: $i ).

tff(decl_46,type,
    xF: $i ).

tff(decl_47,type,
    xG: $i ).

tff(decl_48,type,
    xH: $i ).

tff(decl_49,type,
    xR: $i ).

tff(decl_50,type,
    xP: $i ).

tff(decl_51,type,
    xS: $i ).

tff(decl_52,type,
    xN: $i ).

tff(decl_53,type,
    esk1_1: $i > $i ).

tff(decl_54,type,
    esk2_2: ( $i * $i ) > $i ).

fof(m__2590,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).

fof(m__2679,hypothesis,
    sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2679) ).

fof(m__2610,hypothesis,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2610) ).

fof(c_0_3,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(fof_simplification,[status(thm)],[m__2590]) ).

cnf(c_0_4,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,hypothesis,
    sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
    inference(split_conjunct,[status(thm)],[m__2679]) ).

cnf(c_0_6,hypothesis,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(split_conjunct,[status(thm)],[m__2610]) ).

cnf(c_0_7,hypothesis,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_5]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Aug 27 02:01:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.55  start to proof: theBenchmark
% 0.50/0.57  % Version  : CSE_E---1.5
% 0.50/0.57  % Problem  : theBenchmark.p
% 0.50/0.57  % Proof found
% 0.50/0.57  % SZS status Theorem for theBenchmark.p
% 0.50/0.57  % SZS output start Proof
% See solution above
% 0.50/0.57  % Total time : 0.011000 s
% 0.50/0.57  % SZS output end Proof
% 0.50/0.57  % Total time : 0.014000 s
%------------------------------------------------------------------------------