TSTP Solution File: ITP012^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP012^1 : 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.CBG4ZglqxM true

% Computer : n007.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 05:21:05 EDT 2023

% Result   : Theorem 0.63s 0.92s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   35 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   51 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  183 (  19   ~;  15   |;   1   &; 140   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

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

thf(sk__1_type,type,
    sk__1: mono_2Etyop_2Einteger_2Eint ).

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

thf(mono_2Ec_2Einteger_2Eint__add_type,type,
    mono_2Ec_2Einteger_2Eint__add: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).

thf(sk__type,type,
    sk_: mono_2Etyop_2Einteger_2Eint ).

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(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_cl7,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).

thf(thm_2Einteger_2EINT__DIVIDES__RADD,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__add @ V2r @ V1q ) )
      <=> ( mono_2Ec_2Einteger_2Eint__divides @ V0p @ V2r ) ) ) ).

thf(zip_derived_cl5,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__add @ X2 @ X1 ) )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__RADD]) ).

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_cl12,plain,
    ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 )
    | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__sub @ sk__2 @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Einteger_2Eint__sub,axiom,
    ! [V0x: mono_2Etyop_2Einteger_2Eint,V1y: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ V0x @ V1y )
      = ( mono_2Ec_2Einteger_2Eint__add @ V0x @ ( mono_2Ec_2Einteger_2Eint__neg @ V1y ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 )
      = ( mono_2Ec_2Einteger_2Eint__add @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2Eint__sub]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 )
    | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__add @ sk__2 @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl4]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) )
      | ~ ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).

thf(zip_derived_cl11,plain,
    ( ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 )
    | ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__sub @ sk__2 @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
      ( ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 )
      = ( mono_2Ec_2Einteger_2Eint__add @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2Eint__sub]) ).

thf(zip_derived_cl47,plain,
    ( ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 )
    | ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__add @ sk__2 @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).

thf(zip_derived_cl6,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__add @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[thm_2Einteger_2EINT__DIVIDES__RADD]) ).

thf(zip_derived_cl48,plain,
    ( ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 )
    | ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 )
    | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl6]) ).

thf(zip_derived_cl54,plain,
    ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__1 ) )
    | ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl59,plain,
    ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__1 )
    | ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl54]) ).

thf(zip_derived_cl13,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl13]) ).

thf(zip_derived_cl66,plain,
    ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__add @ sk__2 @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl62]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2 )
    | ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl66]) ).

thf(zip_derived_cl62_003,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl13]) ).

thf(zip_derived_cl69,plain,
    ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ ( mono_2Ec_2Einteger_2Eint__neg @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl62]) ).

thf(zip_derived_cl71,plain,
    ~ ( mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__1 ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl69]) ).

thf(zip_derived_cl13_004,plain,
    mono_2Ec_2Einteger_2Eint__divides @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP012^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CBG4ZglqxM true
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 12:15:42 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.60/0.71  % Total configuration time : 828
% 0.60/0.72  % Estimated wc time : 1656
% 0.60/0.72  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.84  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.84  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.85  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.85  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.85  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.85  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.85  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.86  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.63/0.90  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.63/0.92  % Solved by lams/40_c_ic.sh.
% 0.63/0.92  % done 26 iterations in 0.039s
% 0.63/0.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/0.92  % SZS output start Refutation
% See solution above
% 0.63/0.92  
% 0.63/0.92  
% 0.63/0.92  % Terminating...
% 2.45/1.03  % Runner terminated.
% 2.45/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------