TSTP Solution File: NUM854+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ir2mft8ois true

% Computer : n010.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 12:44:32 EDT 2023

% Result   : Theorem 1.29s 0.78s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   33 (  11 unt;   7 typ;   0 def)
%            Number of atoms       :   43 (  16 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  135 (  14   ~;  15   |;   0   &; 104   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   29 (   0   ^;  29   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd509_type,type,
    vd509: $i ).

thf('#_fresh_sk1_type',type,
    '#_fresh_sk1': $i > $i > $i ).

thf(vd511_type,type,
    vd511: $i ).

thf(vd508_type,type,
    vd508: $i ).

thf(vmul_type,type,
    vmul: $i > $i > $i ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf(less_type,type,
    less: $i > $i > $o ).

thf('holds(conjunct1(314), 510, 0)',axiom,
    greater @ vd508 @ vd509 ).

thf(zip_derived_cl2,plain,
    greater @ vd508 @ vd509,
    inference(cnf,[status(esa)],[holds(conjunct1(314),510,0)]) ).

thf('ass(cond(goal(130), 0), 0)',axiom,
    ! [Vd203: $i,Vd204: $i] :
      ( ( less @ Vd203 @ Vd204 )
      | ( greater @ Vd203 @ Vd204 )
      | ( Vd203 = Vd204 ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( greater @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),0)]) ).

thf('holds(conjunct1(315), 514, 0)',conjecture,
    greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ),
    inference('cnf.neg',[status(esa)],[holds(conjunct1(315),514,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( greater @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    ( ( ( vmul @ vd508 @ vd511 )
      = ( vmul @ vd509 @ vd511 ) )
    | ( less @ ( vmul @ vd508 @ vd511 ) @ ( vmul @ vd509 @ vd511 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).

thf('ass(cond(conjunct2(conjunct2(307)), 0), 0)',axiom,
    ! [Vd496: $i,Vd497: $i,Vd498: $i] :
      ( ( less @ ( vmul @ Vd496 @ Vd497 ) @ ( vmul @ Vd498 @ Vd497 ) )
     => ( less @ Vd496 @ Vd498 ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( less @ ( vmul @ X0 @ X2 ) @ ( vmul @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(conjunct2(conjunct2(307)),0),0)]) ).

thf(zip_derived_cl131,plain,
    ( ( ( vmul @ vd508 @ vd511 )
      = ( vmul @ vd509 @ vd511 ) )
    | ( less @ vd508 @ vd509 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl3]) ).

thf('ass(cond(conjunct1(conjunct2(307)), 0), 0)',axiom,
    ! [Vd491: $i,Vd492: $i,Vd493: $i] :
      ( ( ( vmul @ Vd491 @ Vd492 )
        = ( vmul @ Vd493 @ Vd492 ) )
     => ( Vd491 = Vd493 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( ( vmul @ X1 @ X2 )
       != ( vmul @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(conjunct1(conjunct2(307)),0),0)]) ).

thf(zip_derived_cl69,plain,
    ! [X1: $i,X2: $i] :
      ( ( '#_fresh_sk1' @ X2 @ ( vmul @ X1 @ X2 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl150,plain,
    ( ( ( '#_fresh_sk1' @ vd511 @ ( vmul @ vd508 @ vd511 ) )
      = vd509 )
    | ( less @ vd508 @ vd509 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl69]) ).

thf(zip_derived_cl69_001,plain,
    ! [X1: $i,X2: $i] :
      ( ( '#_fresh_sk1' @ X2 @ ( vmul @ X1 @ X2 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl152,plain,
    ( ( vd508 = vd509 )
    | ( less @ vd508 @ vd509 ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl69]) ).

thf('ass(cond(goal(130), 0), 2)',axiom,
    ! [Vd203: $i,Vd204: $i] :
      ( ~ ( less @ Vd203 @ Vd204 )
      | ~ ( greater @ Vd203 @ Vd204 ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).

thf(zip_derived_cl180,plain,
    ( ( vd508 = vd509 )
    | ~ ( greater @ vd508 @ vd509 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl20]) ).

thf(zip_derived_cl2_002,plain,
    greater @ vd508 @ vd509,
    inference(cnf,[status(esa)],[holds(conjunct1(314),510,0)]) ).

thf(zip_derived_cl183,plain,
    vd508 = vd509,
    inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl2]) ).

thf('ass(cond(goal(130), 0), 3)',axiom,
    ! [Vd203: $i,Vd204: $i] :
      ( ~ ( greater @ Vd203 @ Vd204 )
      | ( Vd203 != Vd204 ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),3)]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ~ ( greater @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl201,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl183,zip_derived_cl30]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ir2mft8ois true
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri Aug 25 13:57:05 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.19/0.59  % Total configuration time : 435
% 0.19/0.59  % Estimated wc time : 1092
% 0.19/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.29/0.78  % Solved by fo/fo5.sh.
% 1.29/0.78  % done 72 iterations in 0.046s
% 1.29/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.78  % SZS output start Refutation
% See solution above
% 1.29/0.78  
% 1.29/0.78  
% 1.29/0.78  % Terminating...
% 1.44/0.91  % Runner terminated.
% 1.44/0.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------