TSTP Solution File: SWC403+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC403+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ofcc3YU85A true

% Computer : n021.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 21:31:21 EDT 2023

% Result   : Theorem 21.55s 3.65s
% Output   : Refutation 21.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   60 (  24 unt;  14 typ;   0 def)
%            Number of atoms       :  137 (  11 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  404 (  62   ~;  62   |;  10   &; 251   @)
%                                         (   2 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :   42 (   0   ^;  38   !;   4   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

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

thf(app_type,type,
    app: $i > $i > $i ).

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

thf(sk__4_type,type,
    sk__4: $i > $i > $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(strictorderedP_type,type,
    strictorderedP: $i > $o ).

thf(sk__5_type,type,
    sk__5: $i > $i > $i ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(segmentP_type,type,
    segmentP: $i > $i > $o ).

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

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

thf(ax36,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ( ( memberP @ ( app @ V @ W ) @ U )
              <=> ( ( memberP @ V @ U )
                  | ( memberP @ W @ U ) ) ) ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X1 @ X2 )
      | ( memberP @ ( app @ X0 @ X1 ) @ X2 )
      | ~ ( ssList @ X1 )
      | ~ ( ssItem @ X2 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(ax26,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ssList @ ( app @ U @ V ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( ssList @ ( app @ X1 @ X0 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax26]) ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ~ ( segmentP @ X @ W )
                    | ~ ( strictorderedP @ W )
                    | ? [Y: $i] :
                        ( ( strictorderedP @ Y )
                        & ( segmentP @ Y @ W )
                        & ( segmentP @ X @ Y )
                        & ( neq @ W @ Y )
                        & ( ssList @ Y ) )
                    | ! [Z: $i] :
                        ( ( ssItem @ Z )
                       => ( ~ ( memberP @ U @ Z )
                          | ( memberP @ V @ Z ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ~ ( segmentP @ X @ W )
                      | ~ ( strictorderedP @ W )
                      | ? [Y: $i] :
                          ( ( strictorderedP @ Y )
                          & ( segmentP @ Y @ W )
                          & ( segmentP @ X @ Y )
                          & ( neq @ W @ Y )
                          & ( ssList @ Y ) )
                      | ! [Z: $i] :
                          ( ( ssItem @ Z )
                         => ( ~ ( memberP @ U @ Z )
                            | ( memberP @ V @ Z ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl92,plain,
    segmentP @ sk__17 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,plain,
    sk__15 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl90,plain,
    sk__14 = sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl111,plain,
    segmentP @ sk__15 @ sk__14,
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl93,zip_derived_cl90]) ).

thf(ax7,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( segmentP @ U @ V )
          <=> ? [W: $i] :
                ( ? [X: $i] :
                    ( ( ( app @ ( app @ W @ V ) @ X )
                      = U )
                    & ( ssList @ X ) )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ( app @ ( app @ ( sk__4 @ X0 @ X1 ) @ X0 ) @ ( sk__5 @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl26772,plain,
    ( ~ ( ssList @ sk__15 )
    | ( ( app @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) @ ( sk__5 @ sk__14 @ sk__15 ) )
      = sk__15 )
    | ~ ( ssList @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl10]) ).

thf(zip_derived_cl94,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93_001,plain,
    sk__15 = sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    ssList @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl84,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26787,plain,
    ( ( app @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) @ ( sk__5 @ sk__14 @ sk__15 ) )
    = sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl26772,zip_derived_cl106,zip_derived_cl84]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( memberP @ X0 @ X1 )
      | ( memberP @ ( app @ X0 @ X2 ) @ X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssItem @ X1 ) ),
    inference(cnf,[status(esa)],[ax36]) ).

thf(zip_derived_cl32556,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__15 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( ssList @ ( sk__5 @ sk__14 @ sk__15 ) )
      | ~ ( memberP @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) @ X0 )
      | ~ ( ssList @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26787,zip_derived_cl40]) ).

thf(zip_derived_cl111_002,plain,
    segmentP @ sk__15 @ sk__14,
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl93,zip_derived_cl90]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ssList @ ( sk__5 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl200,plain,
    ( ~ ( ssList @ sk__15 )
    | ( ssList @ ( sk__5 @ sk__14 @ sk__15 ) )
    | ~ ( ssList @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl9]) ).

thf(zip_derived_cl106_003,plain,
    ssList @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl84_004,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    ssList @ ( sk__5 @ sk__14 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl106,zip_derived_cl84]) ).

thf(zip_derived_cl32573,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__15 @ X0 )
      | ~ ( ssItem @ X0 )
      | ~ ( memberP @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) @ X0 )
      | ~ ( ssList @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl32556,zip_derived_cl204]) ).

thf(zip_derived_cl33467,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ ( sk__4 @ sk__14 @ sk__15 ) )
      | ~ ( ssList @ sk__14 )
      | ~ ( memberP @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) @ X0 )
      | ~ ( ssItem @ X0 )
      | ( memberP @ sk__15 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl32573]) ).

thf(zip_derived_cl111_005,plain,
    segmentP @ sk__15 @ sk__14,
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl93,zip_derived_cl90]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( segmentP @ X1 @ X0 )
      | ( ssList @ ( sk__4 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl211,plain,
    ( ~ ( ssList @ sk__15 )
    | ( ssList @ ( sk__4 @ sk__14 @ sk__15 ) )
    | ~ ( ssList @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl11]) ).

thf(zip_derived_cl106_006,plain,
    ssList @ sk__15,
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl93]) ).

thf(zip_derived_cl84_007,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ssList @ ( sk__4 @ sk__14 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl106,zip_derived_cl84]) ).

thf(zip_derived_cl84_008,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33468,plain,
    ! [X0: $i] :
      ( ~ ( memberP @ ( app @ ( sk__4 @ sk__14 @ sk__15 ) @ sk__14 ) @ X0 )
      | ~ ( ssItem @ X0 )
      | ( memberP @ sk__15 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl33467,zip_derived_cl215,zip_derived_cl84]) ).

thf(zip_derived_cl33470,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( ssList @ sk__14 )
      | ~ ( memberP @ sk__14 @ X0 )
      | ~ ( ssList @ ( sk__4 @ sk__14 @ sk__15 ) )
      | ( memberP @ sk__15 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl33468]) ).

thf(zip_derived_cl84_009,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215_010,plain,
    ssList @ ( sk__4 @ sk__14 @ sk__15 ),
    inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl106,zip_derived_cl84]) ).

thf(zip_derived_cl33474,plain,
    ! [X0: $i] :
      ( ~ ( ssItem @ X0 )
      | ~ ( memberP @ sk__14 @ X0 )
      | ( memberP @ sk__15 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl33470,zip_derived_cl84,zip_derived_cl215]) ).

thf(zip_derived_cl33475,plain,
    ! [X0: $i] :
      ( ( memberP @ sk__15 @ X0 )
      | ~ ( memberP @ sk__14 @ X0 )
      | ~ ( ssItem @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl33474]) ).

thf(zip_derived_cl86,plain,
    ~ ( memberP @ sk__15 @ sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33496,plain,
    ( ~ ( ssItem @ sk__18 )
    | ~ ( memberP @ sk__14 @ sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33475,zip_derived_cl86]) ).

thf(zip_derived_cl88,plain,
    ssItem @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    memberP @ sk__14 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33515,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl33496,zip_derived_cl88,zip_derived_cl87]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC403+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ofcc3YU85A true
% 0.13/0.34  % Computer : n021.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 : Mon Aug 28 14:57:28 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.92/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.92/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.92/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.92/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.92/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.92/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 21.55/3.65  % Solved by fo/fo7.sh.
% 21.55/3.65  % done 3896 iterations in 2.906s
% 21.55/3.65  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.55/3.65  % SZS output start Refutation
% See solution above
% 21.55/3.65  
% 21.55/3.65  
% 21.55/3.65  % Terminating...
% 21.55/3.75  % Runner terminated.
% 21.55/3.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------