TSTP Solution File: NUM853+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM853+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.kv7kiVYwCO true

% Computer : n032.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 0.14s 0.65s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   28 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   36 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  116 (  16   ~;  12   |;   0   &;  86   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd487_type,type,
    vd487: $i ).

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

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

thf(vd488_type,type,
    vd488: $i ).

thf(vd486_type,type,
    vd486: $i ).

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

thf('holds(antec(307), 489, 0)',axiom,
    greater @ ( vmul @ vd486 @ vd487 ) @ ( vmul @ vd488 @ vd487 ) ).

thf(zip_derived_cl1,plain,
    greater @ ( vmul @ vd486 @ vd487 ) @ ( vmul @ vd488 @ vd487 ),
    inference(cnf,[status(esa)],[holds(antec(307),489,0)]) ).

thf(zip_derived_cl1_001,plain,
    greater @ ( vmul @ vd486 @ vd487 ) @ ( vmul @ vd488 @ vd487 ),
    inference(cnf,[status(esa)],[holds(antec(307),489,0)]) ).

thf('ass(cond(299, 0), 0)',axiom,
    ! [Vd456: $i,Vd465: $i,Vd466: $i] :
      ( ( less @ Vd465 @ Vd466 )
     => ( less @ ( vmul @ Vd465 @ Vd456 ) @ ( vmul @ Vd466 @ Vd456 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ ( vmul @ X0 @ X1 ) @ ( vmul @ X2 @ X1 ) )
      | ~ ( less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ass(cond(299,0),0)]) ).

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_cl94,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X2 @ X1 )
      | ~ ( greater @ ( vmul @ X2 @ X0 ) @ ( vmul @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl20]) ).

thf(zip_derived_cl440,plain,
    ~ ( less @ vd486 @ vd488 ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl94]) ).

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(zip_derived_cl456,plain,
    ( ( vd486 = vd488 )
    | ( greater @ vd486 @ vd488 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl18]) ).

thf('holds(conseq(307), 490, 0)',conjecture,
    greater @ vd486 @ vd488 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( greater @ vd486 @ vd488 ),
    inference('cnf.neg',[status(esa)],[holds(conseq(307),490,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( greater @ vd486 @ vd488 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl459,plain,
    vd486 = vd488,
    inference(clc,[status(thm)],[zip_derived_cl456,zip_derived_cl0]) ).

thf('ass(cond(140, 0), 0)',axiom,
    ! [Vd208: $i,Vd209: $i] :
      ( ( greater @ Vd208 @ Vd209 )
     => ( less @ Vd209 @ Vd208 ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(140,0),0)]) ).

thf(zip_derived_cl20_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ~ ( greater @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl20]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ~ ( greater @ X0 @ X0 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl106]) ).

thf(zip_derived_cl461,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl459,zip_derived_cl114]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kv7kiVYwCO true
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Fri Aug 25 16:56:13 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Running portfolio for 300 s
% 0.09/0.29  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29  % Number of cores: 8
% 0.09/0.29  % Python version: Python 3.6.8
% 0.09/0.30  % Running in FO mode
% 0.14/0.52  % Total configuration time : 435
% 0.14/0.52  % Estimated wc time : 1092
% 0.14/0.52  % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.57  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.57  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.57  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.58  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.58  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.59  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.59  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.65  % Solved by fo/fo3_bce.sh.
% 0.14/0.65  % BCE start: 41
% 0.14/0.65  % BCE eliminated: 4
% 0.14/0.65  % PE start: 37
% 0.14/0.65  logic: eq
% 0.14/0.65  % PE eliminated: 0
% 0.14/0.65  % done 99 iterations in 0.058s
% 0.14/0.65  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.14/0.65  % SZS output start Refutation
% See solution above
% 0.14/0.65  
% 0.14/0.65  
% 0.14/0.65  % Terminating...
% 0.14/0.72  % Runner terminated.
% 0.14/0.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------