TSTP Solution File: NUM707^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM707^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gGGmqNQbBc 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 12:43:38 EDT 2023

% Result   : Theorem 0.99s 0.76s
% Output   : Refutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   13 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :    7 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   44 (   3   ~;   0   |;   0   &;  41   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(ts_type,type,
    ts: nat > nat > nat ).

thf(y_type,type,
    y: nat ).

thf(suc_type,type,
    suc: nat > nat ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(x_type,type,
    x: nat ).

thf(satz28f,conjecture,
    ( ( pl @ ( ts @ x @ y ) @ x )
    = ( ts @ x @ ( suc @ y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( pl @ ( ts @ x @ y ) @ x )
   != ( ts @ x @ ( suc @ y ) ) ),
    inference('cnf.neg',[status(esa)],[satz28f]) ).

thf(zip_derived_cl1,plain,
    ( ( pl @ ( ts @ x @ y ) @ x )
   != ( ts @ x @ ( suc @ y ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz28b,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( ts @ Xx @ ( suc @ Xy ) )
      = ( pl @ ( ts @ Xx @ Xy ) @ Xx ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: nat,X1: nat] :
      ( ( ts @ X0 @ ( suc @ X1 ) )
      = ( pl @ ( ts @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[satz28b]) ).

thf(zip_derived_cl2,plain,
    ( ( ts @ x @ ( suc @ y ) )
   != ( ts @ x @ ( suc @ y ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM707^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gGGmqNQbBc true
% 0.15/0.35  % Computer : n005.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri Aug 25 09:28:38 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.21/0.64  % Total configuration time : 828
% 0.21/0.64  % Estimated wc time : 1656
% 0.21/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.99/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.99/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.99/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.99/0.76  % Solved by lams/40_c.s.sh.
% 0.99/0.76  % done 1 iterations in 0.005s
% 0.99/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.99/0.76  % SZS output start Refutation
% See solution above
% 0.99/0.76  
% 0.99/0.76  
% 0.99/0.76  % Terminating...
% 1.48/0.86  % Runner terminated.
% 1.48/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------