TSTP Solution File: NUM530+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM530+1 : 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 : n012.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 10:38:28 EDT 2023

% Result   : Theorem 0.22s 0.61s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   25 (   6 unt;  19 typ;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  13   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 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,
    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,
    isPrime0: $i > $o ).

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

tff(decl_34,type,
    xm: $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_1: $i > $i ).

tff(decl_40,type,
    esk4_1: $i > $i ).

fof(m__3161,hypothesis,
    ~ isPrime0(xp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3161) ).

fof(m__3025,hypothesis,
    isPrime0(xp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).

fof(c_0_2,hypothesis,
    ~ isPrime0(xp),
    inference(fof_simplification,[status(thm)],[m__3161]) ).

cnf(c_0_3,hypothesis,
    isPrime0(xp),
    inference(split_conjunct,[status(thm)],[m__3025]) ).

cnf(c_0_4,hypothesis,
    ~ isPrime0(xp),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_3,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM530+1 : 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 : n012.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
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Fri Aug 25 09:59:26 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.22/0.59  start to proof: theBenchmark
% 0.22/0.61  % Version  : CSE_E---1.5
% 0.22/0.61  % Problem  : theBenchmark.p
% 0.22/0.61  % Proof found
% 0.22/0.61  % SZS status Theorem for theBenchmark.p
% 0.22/0.61  % SZS output start Proof
% See solution above
% 0.22/0.61  % Total time : 0.010000 s
% 0.22/0.61  % SZS output end Proof
% 0.22/0.61  % Total time : 0.014000 s
%------------------------------------------------------------------------------