TSTP Solution File: PUZ100^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ100^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hZJ1Q5O7EJ true

% Computer : n026.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 13:31:09 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   10 (   3 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   30 (   1   ~;   0   |;   3   &;  20   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   6   ^;  11   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(s_type,type,
    s: $i > $i ).

thf(cCKB_E2_type,type,
    cCKB_E2: $i > $i > $o ).

thf(cCKB_E2_def,axiom,
    ( cCKB_E2
    = ( ^ [Xx: $i,Xy: $i] :
        ! [Xp: $i > $o] :
          ( ( ( Xp @ Xx )
            & ! [Xu: $i] :
                ( ( Xp @ Xu )
               => ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
         => ( Xp @ Xy ) ) ) ) ).

thf('0',plain,
    ( cCKB_E2
    = ( ^ [Xx: $i,Xy: $i] :
        ! [Xp: $i > $o] :
          ( ( ( Xp @ Xx )
            & ! [Xu: $i] :
                ( ( Xp @ Xu )
               => ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
         => ( Xp @ Xy ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cCKB_E2_def]) ).

thf('1',plain,
    ( cCKB_E2
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i > $o] :
          ( ( ( X4 @ V_1 )
            & ! [X6: $i] :
                ( ( X4 @ X6 )
               => ( X4 @ ( s @ ( s @ X6 ) ) ) ) )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(cCKB_L32000,conjecture,
    ! [Xx: $i] : ( cCKB_E2 @ Xx @ Xx ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i > $o] : $true ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i > $o] : $true,
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    $false,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ100^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hZJ1Q5O7EJ true
% 0.14/0.35  % Computer : n026.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 : Sat Aug 26 22:51:03 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.21/0.69  % Total configuration time : 828
% 0.21/0.69  % Estimated wc time : 1656
% 0.21/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78  % Solved by lams/40_c_ic.sh.
% 0.21/0.78  % done 0 iterations in 0.006s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 1.48/0.87  % Runner terminated.
% 1.48/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------