TSTP Solution File: ITP012^4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP012^4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IweLYEJM37 true

% Computer : n022.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 05:21:07 EDT 2023

% Result   : Theorem 49.19s 7.12s
% Output   : Refutation 49.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   35 (  13 unt;   7 typ;   0 def)
%            Number of atoms       :   52 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  174 (  15   ~;  13   |;   2   &; 135   @)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   35 (   0   ^;  35   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Einteger_2Eint_type,type,
    mono_2Etyop_2Einteger_2Eint: $tType ).

thf(mono_2Ec_2Einteger_2Eint__divides_type,type,
    mono_2Ec_2Einteger_2Eint__divides: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).

thf(sk__2_type,type,
    sk__2: mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Einteger_2Eint__sub_type,type,
    mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(mono_2Ec_2Einteger_2Eint__neg_type,type,
    mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(sk__3_type,type,
    sk__3: mono_2Etyop_2Einteger_2Eint ).

thf(sk__1_type,type,
    sk__1: mono_2Etyop_2Einteger_2Eint ).

thf(thm_2Einteger_2EINT__DIVIDES__LSUB,axiom,
    ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
     => ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ V1q @ V2r ) )
      <=> ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) ).

thf(zip_derived_cl75,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
      ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
      | ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X2 ) )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__LSUB]) ).

thf(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
    ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
     => ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ V2r @ V1q ) )
      <=> ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint,V2r: mono_2Etyop_2Einteger_2Eint] :
        ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q )
       => ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__sub @ V2r @ V1q ) )
        <=> ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).

thf(zip_derived_cl78,plain,
    ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__3 )
    | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ ( mono_2Ec_2Einteger_2Eint__sub @ sk__3 @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    ( ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__3 )
    | ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ ( mono_2Ec_2Einteger_2Eint__sub @ sk__3 @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Einteger_2EINT__SUB__SUB,axiom,
    ! [V0x: mono_2Etyop_2Einteger_2Eint,V1y: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ ( mono_2Ec_2Einteger_2Eint__sub @ V0x @ V1y ) @ V0x )
      = ( mono_2Ec_2Einteger_2Eint__neg @ V1y ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X0 ) @ X1 )
      = ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__SUB__SUB]) ).

thf(zip_derived_cl79,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Einteger_2EINT__DIVIDES__TRANS,axiom,
    ! [V0x: mono_2Etyop_2Einteger_2Eint,V1y: mono_2Etyop_2Einteger_2Eint,V2z: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Einteger_2Eint__divides @ V0x @ V1y )
        & ( mono_2Ec_2Einteger_2Eint__divides @ V1y @ V2z ) )
     => ( mono_2Ec_2Einteger_2Eint__divides @ V0x @ V2z ) ) ).

thf(zip_derived_cl60,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
      ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ X1 @ X2 )
      | ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__TRANS]) ).

thf(zip_derived_cl1434,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ X0 )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl60]) ).

thf(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
    ! [V0p: mono_2Etyop_2Einteger_2Eint,V1q: mono_2Etyop_2Einteger_2Eint] :
      ( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ V0p ) @ V1q )
      <=> ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) )
      & ( ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ ( mono_2Ec_2Einteger_2Eint__neg @ V1q ) )
      <=> ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V1q ) ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).

thf(thm_2Einteger_2EINT__DIVIDES__REFL,axiom,
    ! [V0x: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides @ V0x @ V0x ) ).

thf(zip_derived_cl59,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X0 ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__REFL]) ).

thf(zip_derived_cl90,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl59]) ).

thf(zip_derived_cl1472,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__2 ),
    inference('sup+',[status(thm)],[zip_derived_cl1434,zip_derived_cl90]) ).

thf(zip_derived_cl1510,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ ( mono_2Ec_2Einteger_2Eint__sub @ ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ sk__2 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl1472]) ).

thf(zip_derived_cl76,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
      ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
      | ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__LSUB]) ).

thf(zip_derived_cl3316,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ X0 )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1510,zip_derived_cl76]) ).

thf(zip_derived_cl3813,plain,
    ( ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__3 )
    | ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl3316]) ).

thf(zip_derived_cl3848,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl3813]) ).

thf(zip_derived_cl3868,plain,
    ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ ( mono_2Ec_2Einteger_2Eint__sub @ sk__3 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl3848]) ).

thf(zip_derived_cl3877,plain,
    ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__2 )
    | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl3868]) ).

thf(zip_derived_cl79_001,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3848_002,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk__1 @ sk__3,
    inference(simplify,[status(thm)],[zip_derived_cl3813]) ).

thf(zip_derived_cl3879,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3877,zip_derived_cl79,zip_derived_cl3848]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : ITP012^4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IweLYEJM37 true
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun Aug 27 11:19:25 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.32  % Python version: Python 3.6.8
% 0.12/0.33  % Running in HO mode
% 0.19/0.56  % Total configuration time : 828
% 0.19/0.56  % Estimated wc time : 1656
% 0.19/0.56  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.63  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.66  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.66  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.66  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.67  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 49.19/7.12  % Solved by lams/40_c_ic.sh.
% 49.19/7.12  % done 604 iterations in 6.390s
% 49.19/7.12  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 49.19/7.12  % SZS output start Refutation
% See solution above
% 49.19/7.12  
% 49.19/7.12  
% 49.19/7.12  % Terminating...
% 50.55/7.29  % Runner terminated.
% 50.55/7.30  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------