TSTP Solution File: NUM852+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM852+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.7CMCuCgiL5 true

% Computer : n005.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 12:44:31 EDT 2023

% Result   : Theorem 1.28s 0.81s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   30 (  18 unt;   7 typ;   0 def)
%            Number of atoms       :   28 (  11 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  155 (   6   ~;   3   |;   0   &; 144   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   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   :   28 (   0   ^;  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd480_type,type,
    vd480: $i ).

thf(vplus_type,type,
    vplus: $i > $i > $i ).

thf(vd469_type,type,
    vd469: $i ).

thf(vskolem9_type,type,
    vskolem9: $i > $i > $i ).

thf(vd481_type,type,
    vd481: $i ).

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

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

thf('holds(conseq_conjunct1(conseq(304)), 483, 0)',axiom,
    greater @ vd481 @ vd480 ).

thf(zip_derived_cl1,plain,
    greater @ vd481 @ vd480,
    inference(cnf,[status(esa)],[holds(conseq_conjunct1(conseq(304)),483,0)]) ).

thf('ass(cond(302, 0), 0)',axiom,
    ! [Vd470: $i,Vd471: $i] :
      ( ( greater @ Vd470 @ Vd471 )
     => ( greater @ ( vplus @ ( vmul @ Vd471 @ vd469 ) @ ( vmul @ ( vskolem9 @ Vd470 @ Vd471 ) @ vd469 ) ) @ ( vmul @ Vd471 @ vd469 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ ( vplus @ ( vmul @ X0 @ vd469 ) @ ( vmul @ ( vskolem9 @ X1 @ X0 ) @ vd469 ) ) @ ( vmul @ X0 @ vd469 ) )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(302,0),0)]) ).

thf('ass(cond(270, 0), 0)',axiom,
    ! [Vd418: $i,Vd419: $i] :
      ( ( vmul @ Vd418 @ Vd419 )
      = ( vmul @ Vd419 @ Vd418 ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X1 @ X0 )
      = ( vmul @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( greater @ ( vplus @ ( vmul @ X0 @ vd469 ) @ ( vmul @ vd469 @ ( vskolem9 @ X1 @ X0 ) ) ) @ ( vmul @ X0 @ vd469 ) )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).

thf(zip_derived_cl106,plain,
    greater @ ( vplus @ ( vmul @ vd480 @ vd469 ) @ ( vmul @ vd469 @ ( vskolem9 @ vd481 @ vd480 ) ) ) @ ( vmul @ vd480 @ vd469 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl23]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X1 @ X0 )
      = ( vmul @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).

thf('ass(cond(281, 0), 0)',axiom,
    ! [Vd432: $i,Vd433: $i,Vd434: $i] :
      ( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
      = ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( vmul @ X0 @ ( vplus @ X1 @ X2 ) )
      = ( vplus @ ( vmul @ X0 @ X1 ) @ ( vmul @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(281,0),0)]) ).

thf(zip_derived_cl1_002,plain,
    greater @ vd481 @ vd480,
    inference(cnf,[status(esa)],[holds(conseq_conjunct1(conseq(304)),483,0)]) ).

thf('ass(cond(302, 0), 3)',axiom,
    ! [Vd470: $i,Vd471: $i] :
      ( ( greater @ Vd470 @ Vd471 )
     => ( Vd470
        = ( vplus @ Vd471 @ ( vskolem9 @ Vd470 @ Vd471 ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( vplus @ X0 @ ( vskolem9 @ X1 @ X0 ) ) )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(302,0),3)]) ).

thf(zip_derived_cl25,plain,
    ( vd481
    = ( vplus @ vd480 @ ( vskolem9 @ vd481 @ vd480 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl10_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X1 @ X0 )
      = ( vmul @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).

thf(zip_derived_cl10_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X1 @ X0 )
      = ( vmul @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).

thf('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)',conjecture,
    greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ),
    inference('cnf.neg',[status(esa)],[holds(conseq_conjunct1(conseq_conjunct2(conseq(304))),484,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd480 @ vd469 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X1 @ X0 )
      = ( vmul @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).

thf(zip_derived_cl22,plain,
    ~ ( greater @ ( vmul @ vd481 @ vd469 ) @ ( vmul @ vd469 @ vd480 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl10]) ).

thf(zip_derived_cl111,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl10,zip_derived_cl9,zip_derived_cl25,zip_derived_cl10,zip_derived_cl10,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7CMCuCgiL5 true
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 10:26:08 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.81  % Solved by fo/fo13.sh.
% 1.28/0.81  % done 29 iterations in 0.029s
% 1.28/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.81  % SZS output start Refutation
% See solution above
% 1.28/0.81  
% 1.28/0.81  
% 1.28/0.81  % Terminating...
% 1.49/0.88  % Runner terminated.
% 1.49/0.90  % Zipperpin 1.5 exiting
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