TSTP Solution File: SWV151+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sfWcKJ1gmZ true

% Computer : n029.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 : Fri Sep  1 00:08:04 EDT 2023

% Result   : Theorem 0.56s 0.78s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   29 (  10 unt;  12 typ;   0 def)
%            Number of atoms       :   28 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   83 (   9   ~;   4   |;   3   &;  63   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(q_type,type,
    q: $i ).

thf(tptp_minus_1_type,type,
    tptp_minus_1: $i ).

thf(a_select3_type,type,
    a_select3: $i > $i > $i > $i ).

thf(sum_type,type,
    sum: $i > $i > $i > $i ).

thf(n1_type,type,
    n1: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(gt_type,type,
    gt: $i > $i > $o ).

thf(tptp_sum_index_type,type,
    tptp_sum_index: $i ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(n0_type,type,
    n0: $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(n4_type,type,
    n4: $i ).

thf(succ_tptp_minus_1,axiom,
    ( ( succ @ tptp_minus_1 )
    = n0 ) ).

thf(zip_derived_cl87,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(leq_succ_gt_equiv,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( gt @ ( succ @ Y ) @ X ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ ( succ @ X0 ) @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).

thf(irreflexivity_gt,axiom,
    ! [X: $i] :
      ~ ( gt @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl1027,plain,
    ! [X0: $i] :
      ~ ( leq @ ( succ @ X0 ) @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).

thf(zip_derived_cl1036,plain,
    ~ ( leq @ n0 @ tptp_minus_1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl1027]) ).

thf(cl5_nebula_norm_0001,conjecture,
    ! [A: $i] :
      ( ( ( leq @ n0 @ A )
        & ( leq @ A @ tptp_minus_1 ) )
     => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
        = n1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( leq @ n0 @ A )
          & ( leq @ A @ tptp_minus_1 ) )
       => ( ( sum @ n0 @ n4 @ ( a_select3 @ q @ A @ tptp_sum_index ) )
          = n1 ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_norm_0001]) ).

thf(zip_derived_cl120,plain,
    leq @ sk__27 @ tptp_minus_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    leq @ n0 @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(transitivity_leq,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ Z ) )
     => ( leq @ X @ Z ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_leq]) ).

thf(zip_derived_cl952,plain,
    ! [X0: $i] :
      ( ~ ( leq @ sk__27 @ X0 )
      | ( leq @ n0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl4]) ).

thf(zip_derived_cl971,plain,
    leq @ n0 @ tptp_minus_1,
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl952]) ).

thf(zip_derived_cl1037,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1036,zip_derived_cl971]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sfWcKJ1gmZ true
% 0.13/0.34  % Computer : n029.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 : Tue Aug 29 07:07:26 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78  % Solved by fo/fo6_bce.sh.
% 0.56/0.78  % BCE start: 154
% 0.56/0.78  % BCE eliminated: 1
% 0.56/0.78  % PE start: 153
% 0.56/0.78  logic: eq
% 0.56/0.78  % PE eliminated: 13
% 0.56/0.78  % done 46 iterations in 0.068s
% 0.56/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.78  % SZS output start Refutation
% See solution above
% 0.56/0.78  
% 0.56/0.78  
% 0.56/0.78  % Terminating...
% 1.76/0.84  % Runner terminated.
% 1.76/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------