TSTP Solution File: SEU465^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU465^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zVdUCxfx1K true

% Computer : n011.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 19:13:12 EDT 2023

% Result   : Theorem 0.58s 0.82s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   51 (  17 unt;  11 typ;   0 def)
%            Number of atoms       :   74 (   6 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  290 (  25   ~;  27   |;  16   &; 202   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   66 (   9   ^;  57   !;   0   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i > $i > $o ).

thf(subrel_type,type,
    subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

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

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

thf(sk__14_type,type,
    sk__14: $i ).

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

thf(sk__15_type,type,
    sk__15: $i ).

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

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

thf(sk__16_type,type,
    sk__16: $i ).

thf(sk__17_type,type,
    sk__17: $i ).

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(subrel,axiom,
    ( subrel
    = ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ( S @ X @ Y ) ) ) ) ).

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

thf('3',plain,
    ( subrel
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( V_1 @ X4 @ X6 )
         => ( V_2 @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(transitive_closure_is_transitive5,conjecture,
    ! [R: $i > $i > $o,X: $i,Y: $i,S: $i > $i > $o] :
      ( ( ( trans @ S )
        & ( subrel @ R @ S )
        & ( ( ( trans @ S )
            & ( subrel @ R @ S ) )
         => ( S @ X @ Y ) ) )
     => ( S @ X @ Y ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o,X6: $i,X8: $i,X10: $i > $i > $o] :
      ( ( ! [X12: $i,X14: $i,X16: $i] :
            ( ( ( X10 @ X12 @ X14 )
              & ( X10 @ X14 @ X16 ) )
           => ( X10 @ X12 @ X16 ) )
        & ! [X18: $i,X20: $i] :
            ( ( X4 @ X18 @ X20 )
           => ( X10 @ X18 @ X20 ) )
        & ( ( ! [X22: $i,X24: $i,X26: $i] :
                ( ( ( X10 @ X22 @ X24 )
                  & ( X10 @ X24 @ X26 ) )
               => ( X10 @ X22 @ X26 ) )
            & ! [X28: $i,X30: $i] :
                ( ( X4 @ X28 @ X30 )
               => ( X10 @ X28 @ X30 ) ) )
         => ( X10 @ X6 @ X8 ) ) )
     => ( X10 @ X6 @ X8 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o,X6: $i,X8: $i,X10: $i > $i > $o] :
        ( ( ! [X12: $i,X14: $i,X16: $i] :
              ( ( ( X10 @ X12 @ X14 )
                & ( X10 @ X14 @ X16 ) )
             => ( X10 @ X12 @ X16 ) )
          & ! [X18: $i,X20: $i] :
              ( ( X4 @ X18 @ X20 )
             => ( X10 @ X18 @ X20 ) )
          & ( ( ! [X22: $i,X24: $i,X26: $i] :
                  ( ( ( X10 @ X22 @ X24 )
                    & ( X10 @ X24 @ X26 ) )
                 => ( X10 @ X22 @ X26 ) )
              & ! [X28: $i,X30: $i] :
                  ( ( X4 @ X28 @ X30 )
                 => ( X10 @ X28 @ X30 ) ) )
           => ( X10 @ X6 @ X8 ) ) )
       => ( X10 @ X6 @ X8 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__12 @ sk__10 @ sk__11 )
    | ~ ( sk__12 @ sk__13 @ sk__14 )
    | ~ ( sk__12 @ sk__15 @ sk__17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ~ ( sk__12 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( sk__12 @ sk__13 @ sk__14 )
    | ~ ( sk__12 @ sk__15 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i] :
      ( ( sk__12 @ X3 @ X4 )
      | ~ ( sk__9 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ( ( sk__12 @ sk__10 @ sk__11 )
    | ( sk__9 @ sk__13 @ sk__14 )
    | ~ ( sk__12 @ sk__15 @ sk__17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8_001,plain,
    ~ ( sk__12 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ( ( sk__9 @ sk__13 @ sk__14 )
    | ~ ( sk__12 @ sk__15 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ( ( sk__12 @ sk__13 @ sk__14 )
    | ~ ( sk__12 @ sk__15 @ sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).

thf(zip_derived_cl33,plain,
    ~ ( sk__12 @ sk__15 @ sk__17 ),
    inference(clc,[status(thm)],[zip_derived_cl32,zip_derived_cl12]) ).

thf(zip_derived_cl7,plain,
    ( ( sk__12 @ sk__10 @ sk__11 )
    | ~ ( sk__12 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__15 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8_002,plain,
    ~ ( sk__12 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( sk__12 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__15 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).

thf(zip_derived_cl1_003,plain,
    ! [X3: $i,X4: $i] :
      ( ( sk__12 @ X3 @ X4 )
      | ~ ( sk__9 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ( ( sk__12 @ sk__10 @ sk__11 )
    | ( sk__9 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__15 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8_004,plain,
    ~ ( sk__12 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ( ( sk__9 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__15 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ( ( sk__12 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__15 @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).

thf(zip_derived_cl39,plain,
    sk__12 @ sk__15 @ sk__16,
    inference(clc,[status(thm)],[zip_derived_cl38,zip_derived_cl13]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( sk__12 @ X0 @ X1 )
      | ~ ( sk__12 @ X1 @ X2 )
      | ( sk__12 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ( sk__12 @ sk__15 @ X0 )
      | ~ ( sk__12 @ sk__16 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ( ( sk__12 @ sk__10 @ sk__11 )
    | ~ ( sk__12 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__16 @ sk__17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8_005,plain,
    ~ ( sk__12 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( sk__12 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__16 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).

thf(zip_derived_cl1_006,plain,
    ! [X3: $i,X4: $i] :
      ( ( sk__12 @ X3 @ X4 )
      | ~ ( sk__9 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ( ( sk__12 @ sk__10 @ sk__11 )
    | ( sk__9 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__16 @ sk__17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8_007,plain,
    ~ ( sk__12 @ sk__10 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ( ( sk__9 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__16 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ( ( sk__12 @ sk__13 @ sk__14 )
    | ( sk__12 @ sk__16 @ sk__17 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).

thf(zip_derived_cl35,plain,
    sk__12 @ sk__16 @ sk__17,
    inference(clc,[status(thm)],[zip_derived_cl34,zip_derived_cl14]) ).

thf(zip_derived_cl42,plain,
    sk__12 @ sk__15 @ sk__17,
    inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl35]) ).

thf(zip_derived_cl46,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU465^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zVdUCxfx1K true
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 13:42:37 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.82  % Solved by lams/40_c.s.sh.
% 0.58/0.82  % done 26 iterations in 0.023s
% 0.58/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.82  % SZS output start Refutation
% See solution above
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  % Terminating...
% 0.62/0.87  % Runner terminated.
% 0.62/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------