TSTP Solution File: SEU494^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU494^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rd1kt6h9vr true

% Computer : n006.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 19:13:18 EDT 2023

% Result   : Theorem 1.26s 0.80s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   47 (  21 unt;  10 typ;   0 def)
%            Number of atoms       :   72 (  12 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  232 (  23   ~;  17   |;  14   &; 161   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   46 (  46   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   66 (  18   ^;  48   !;   0   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(so_type,type,
    so: ( $i > $i > $o ) > $o ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(inv_type,type,
    inv: ( $i > $i > $o ) > $i > $i > $o ).

thf(trans_type,type,
    trans: ( $i > $i > $o ) > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(asymm_type,type,
    asymm: ( $i > $i > $o ) > $o ).

thf(sk__8_type,type,
    sk__8: $i > $i > $o ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(strict_order,axiom,
    ( so
    = ( ^ [R: $i > $i > $o] :
          ( ( asymm @ R )
          & ( trans @ R ) ) ) ) ).

thf(transitive,axiom,
    ( trans
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i,Z: $i] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ Z ) )
         => ( R @ X @ Z ) ) ) ) ).

thf('0',plain,
    ( trans
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i,Z: $i] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ Z ) )
         => ( R @ X @ Z ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[transitive]) ).

thf('1',plain,
    ( trans
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i,X8: $i] :
          ( ( ( V_1 @ X4 @ X6 )
            & ( V_1 @ X6 @ X8 ) )
         => ( V_1 @ X4 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(asymmetric,axiom,
    ( asymm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ~ ( R @ Y @ X ) ) ) ) ).

thf('2',plain,
    ( asymm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ~ ( R @ Y @ X ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[asymmetric]) ).

thf('3',plain,
    ( asymm
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( V_1 @ X4 @ X6 )
         => ~ ( V_1 @ X6 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf('4',plain,
    ( so
    = ( ^ [R: $i > $i > $o] :
          ( ( asymm @ R )
          & ( trans @ R ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[strict_order,'1','3']) ).

thf('5',plain,
    ( so
    = ( ^ [V_1: $i > $i > $o] :
          ( ( asymm @ V_1 )
          & ( trans @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(inverse,axiom,
    ( inv
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ) ).

thf('6',plain,
    ( inv
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ),
    inference(simplify_rw_rule,[status(thm)],[inverse]) ).

thf('7',plain,
    ( inv
    = ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] : ( V_1 @ V_3 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(inverse_of_strict_order_is_strict_order,conjecture,
    ! [R: $i > $i > $o] :
      ( ( so @ R )
     => ( so @ ( inv @ R ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o] :
      ( ( ! [X6: $i,X8: $i] :
            ( ( X4 @ X6 @ X8 )
           => ~ ( X4 @ X8 @ X6 ) )
        & ! [X10: $i,X12: $i,X14: $i] :
            ( ( ( X4 @ X10 @ X12 )
              & ( X4 @ X12 @ X14 ) )
           => ( X4 @ X10 @ X14 ) ) )
     => ( ! [X16: $i,X18: $i] :
            ( ( X4 @ X18 @ X16 )
           => ~ ( X4 @ X16 @ X18 ) )
        & ! [X20: $i,X22: $i,X24: $i] :
            ( ( ( X4 @ X22 @ X20 )
              & ( X4 @ X24 @ X22 ) )
           => ( X4 @ X24 @ X20 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o] :
        ( ( ! [X6: $i,X8: $i] :
              ( ( X4 @ X6 @ X8 )
             => ~ ( X4 @ X8 @ X6 ) )
          & ! [X10: $i,X12: $i,X14: $i] :
              ( ( ( X4 @ X10 @ X12 )
                & ( X4 @ X12 @ X14 ) )
             => ( X4 @ X10 @ X14 ) ) )
       => ( ! [X16: $i,X18: $i] :
              ( ( X4 @ X18 @ X16 )
             => ~ ( X4 @ X16 @ X18 ) )
          & ! [X20: $i,X22: $i,X24: $i] :
              ( ( ( X4 @ X22 @ X20 )
                & ( X4 @ X24 @ X22 ) )
             => ( X4 @ X24 @ X20 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( sk__8 @ sk__9 @ sk__10 )
    | ( sk__8 @ sk__13 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__8 @ sk__10 @ sk__9 )
    | ( sk__8 @ sk__12 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ( ( sk__8 @ sk__10 @ sk__9 )
    | ( sk__8 @ sk__13 @ sk__12 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( sk__8 @ X2 @ X3 )
      | ~ ( sk__8 @ X3 @ X4 )
      | ( sk__8 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( sk__8 @ sk__10 @ sk__9 )
      | ( sk__8 @ sk__13 @ X0 )
      | ~ ( sk__8 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl30,plain,
    ( ( sk__8 @ sk__10 @ sk__9 )
    | ( sk__8 @ sk__13 @ sk__11 )
    | ( sk__8 @ sk__10 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl18]) ).

thf(zip_derived_cl34,plain,
    ( ( sk__8 @ sk__13 @ sk__11 )
    | ( sk__8 @ sk__10 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl7,plain,
    ( ( sk__8 @ sk__10 @ sk__9 )
    | ~ ( sk__8 @ sk__13 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl36,plain,
    sk__8 @ sk__10 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl7]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__8 @ X0 @ X1 )
      | ~ ( sk__8 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl38,plain,
    ~ ( sk__8 @ sk__9 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).

thf(zip_derived_cl43,plain,
    sk__8 @ sk__13 @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl38]) ).

thf(zip_derived_cl1_001,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( sk__8 @ X2 @ X3 )
      | ~ ( sk__8 @ X3 @ X4 )
      | ( sk__8 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( sk__8 @ sk__13 @ X0 )
      | ~ ( sk__8 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ( sk__8 @ sk__9 @ sk__10 )
    | ~ ( sk__8 @ sk__13 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl38_002,plain,
    ~ ( sk__8 @ sk__9 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).

thf(zip_derived_cl44,plain,
    ~ ( sk__8 @ sk__13 @ sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl38]) ).

thf(zip_derived_cl69,plain,
    ~ ( sk__8 @ sk__12 @ sk__11 ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl44]) ).

thf(zip_derived_cl2,plain,
    ( ( sk__8 @ sk__9 @ sk__10 )
    | ( sk__8 @ sk__12 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl38_003,plain,
    ~ ( sk__8 @ sk__9 @ sk__10 ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl0]) ).

thf(zip_derived_cl42,plain,
    sk__8 @ sk__12 @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl38]) ).

thf(zip_derived_cl77,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU494^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rd1kt6h9vr true
% 0.17/0.34  % Computer : n006.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Aug 23 18:49:38 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 1.26/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.26/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.26/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.26/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.26/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.26/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.26/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.26/0.80  % Solved by lams/40_c.s.sh.
% 1.26/0.80  % done 46 iterations in 0.025s
% 1.26/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.80  % SZS output start Refutation
% See solution above
% 1.26/0.80  
% 1.26/0.80  
% 1.26/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.26/0.80  % Terminating...
% 1.45/0.86  % Runner terminated.
% 1.45/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------