TSTP Solution File: NUM841+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM841+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.D3PCRFViCk true

% Computer : n014.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 1.17s 0.84s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   41 (  20 unt;   7 typ;   0 def)
%            Number of atoms       :   53 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  224 (  15   ~;  16   |;   1   &; 190   @)
%                                         (   0 <=>;   2  =>;   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     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd345_type,type,
    vd345: $i ).

thf(vd347_type,type,
    vd347: $i ).

thf(vd348_type,type,
    vd348: $i ).

thf(vd344_type,type,
    vd344: $i ).

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

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

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

thf('holds(213, 351, 1)',axiom,
    greater @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd348 @ vd345 ) ).

thf(zip_derived_cl2,plain,
    greater @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd348 @ vd345 ),
    inference(cnf,[status(esa)],[holds(213,351,1)]) ).

thf('holds(213, 351, 2)',axiom,
    ( ( vplus @ vd348 @ vd345 )
    = ( vplus @ vd345 @ vd348 ) ) ).

thf(zip_derived_cl1,plain,
    ( ( vplus @ vd348 @ vd345 )
    = ( vplus @ vd345 @ vd348 ) ),
    inference(cnf,[status(esa)],[holds(213,351,2)]) ).

thf(zip_derived_cl172,plain,
    greater @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd345 @ vd348 ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl172_001,plain,
    greater @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd345 @ vd348 ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

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

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(140,0),0)]) ).

thf(zip_derived_cl262,plain,
    less @ ( vplus @ vd345 @ vd348 ) @ ( vplus @ vd347 @ vd345 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl172,zip_derived_cl27]) ).

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

thf(zip_derived_cl28,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(214, 352, 0)',conjecture,
    greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ),
    inference('cnf.neg',[status(esa)],[holds(214,352,0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ( ( vplus @ vd344 @ vd347 )
      = ( vplus @ vd345 @ vd348 ) )
    | ( less @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl0]) ).

thf('ass(cond(168, 0), 0)',axiom,
    ! [Vd262: $i,Vd263: $i,Vd265: $i] :
      ( ( ( less @ Vd263 @ Vd265 )
        & ( less @ Vd262 @ Vd263 ) )
     => ( less @ Vd262 @ Vd265 ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X2 )
      | ( less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ass(cond(168,0),0)]) ).

thf(zip_derived_cl626,plain,
    ! [X0: $i] :
      ( ( ( vplus @ vd344 @ vd347 )
        = ( vplus @ vd345 @ vd348 ) )
      | ~ ( less @ ( vplus @ vd345 @ vd348 ) @ X0 )
      | ( less @ ( vplus @ vd344 @ vd347 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl17]) ).

thf(zip_derived_cl637,plain,
    ( ( ( vplus @ vd344 @ vd347 )
      = ( vplus @ vd345 @ vd348 ) )
    | ( less @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd347 @ vd345 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl262,zip_derived_cl626]) ).

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

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).

thf(zip_derived_cl668,plain,
    ( ( ( vplus @ vd344 @ vd347 )
      = ( vplus @ vd345 @ vd348 ) )
    | ~ ( greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd347 @ vd345 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl30]) ).

thf('holds(212, 350, 0)',axiom,
    greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd347 ) ).

thf(zip_derived_cl4,plain,
    greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd347 ),
    inference(cnf,[status(esa)],[holds(212,350,0)]) ).

thf('holds(213, 351, 0)',axiom,
    ( ( vplus @ vd345 @ vd347 )
    = ( vplus @ vd347 @ vd345 ) ) ).

thf(zip_derived_cl3,plain,
    ( ( vplus @ vd345 @ vd347 )
    = ( vplus @ vd347 @ vd345 ) ),
    inference(cnf,[status(esa)],[holds(213,351,0)]) ).

thf(zip_derived_cl174,plain,
    greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd347 @ vd345 ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl669,plain,
    ( ( vplus @ vd344 @ vd347 )
    = ( vplus @ vd345 @ vd348 ) ),
    inference(demod,[status(thm)],[zip_derived_cl668,zip_derived_cl174]) ).

thf(zip_derived_cl174_002,plain,
    greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd347 @ vd345 ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl27_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( greater @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(140,0),0)]) ).

thf(zip_derived_cl261,plain,
    less @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd344 @ vd347 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl27]) ).

thf(zip_derived_cl30_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( greater @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).

thf(zip_derived_cl625,plain,
    ~ ( greater @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd344 @ vd347 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl30]) ).

thf(zip_derived_cl671,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl669,zip_derived_cl625]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.D3PCRFViCk true
% 0.15/0.36  % Computer : n014.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 : Fri Aug 25 17:27:03 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
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.17/0.84  % Solved by fo/fo6_bce.sh.
% 1.17/0.84  % BCE start: 53
% 1.17/0.84  % BCE eliminated: 0
% 1.17/0.84  % PE start: 53
% 1.17/0.84  logic: eq
% 1.17/0.84  % PE eliminated: 2
% 1.17/0.84  % done 139 iterations in 0.102s
% 1.17/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.17/0.84  % SZS output start Refutation
% See solution above
% 1.17/0.84  
% 1.17/0.84  
% 1.17/0.84  % Terminating...
% 1.56/0.92  % Runner terminated.
% 1.56/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------