TSTP Solution File: NUM840+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM840+1 : 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.hy4v3hDZDL true

% Computer : n019.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 12:44:25 EDT 2023

% Result   : Theorem 0.21s 0.73s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   26 (  11 unt;   6 typ;   0 def)
%            Number of atoms       :   31 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   97 (  14   ~;  10   |;   0   &;  72   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 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   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd330_type,type,
    vd330: $i ).

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

thf(vd329_type,type,
    vd329: $i ).

thf(vd328_type,type,
    vd328: $i ).

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

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

thf('holds(antec(conjunct2(conjunct2(204))), 335, 0)',axiom,
    less @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ) ).

thf(zip_derived_cl1,plain,
    less @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ),
    inference(cnf,[status(esa)],[holds(antec(conjunct2(conjunct2(204))),335,0)]) ).

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

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ( greater @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),0)]) ).

thf('ass(cond(goal(193), 0), 2)',axiom,
    ! [Vd301: $i,Vd302: $i,Vd303: $i] :
      ( ( greater @ Vd301 @ Vd302 )
     => ( greater @ ( vplus @ Vd301 @ Vd303 ) @ ( vplus @ Vd302 @ Vd303 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ X0 @ X1 )
      | ( greater @ ( vplus @ X0 @ X2 ) @ ( vplus @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(193),0),2)]) ).

thf(zip_derived_cl1_001,plain,
    less @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ),
    inference(cnf,[status(esa)],[holds(antec(conjunct2(conjunct2(204))),335,0)]) ).

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

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).

thf(zip_derived_cl160,plain,
    ~ ( greater @ ( vplus @ vd328 @ vd330 ) @ ( vplus @ vd329 @ vd330 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl24]) ).

thf(zip_derived_cl163,plain,
    ~ ( greater @ vd328 @ vd329 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl160]) ).

thf(zip_derived_cl201,plain,
    ( ( vd328 = vd329 )
    | ( less @ vd328 @ vd329 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl163]) ).

thf('holds(conseq(conjunct2(conjunct2(204))), 336, 0)',conjecture,
    less @ vd328 @ vd329 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( less @ vd328 @ vd329 ),
    inference('cnf.neg',[status(esa)],[holds(conseq(conjunct2(conjunct2(204))),336,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( less @ vd328 @ vd329 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    vd328 = vd329,
    inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl0]) ).

thf('ass(cond(goal(130), 0), 1)',axiom,
    ! [Vd203: $i,Vd204: $i] :
      ( ~ ( less @ Vd203 @ Vd204 )
      | ( Vd203 != Vd204 ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),1)]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl206,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl204,zip_derived_cl155]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM840+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hy4v3hDZDL true
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 14:12:58 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % Solved by fo/fo6_bce.sh.
% 0.21/0.73  % BCE start: 47
% 0.21/0.73  % BCE eliminated: 0
% 0.21/0.73  % PE start: 47
% 0.21/0.73  logic: eq
% 0.21/0.73  % PE eliminated: 2
% 0.21/0.73  % done 58 iterations in 0.023s
% 0.21/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.73  % SZS output start Refutation
% See solution above
% 0.21/0.73  
% 0.21/0.73  
% 0.21/0.73  % Terminating...
% 1.28/0.83  % Runner terminated.
% 1.44/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------