TSTP Solution File: SWC372+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC372+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.mLVzvuSIi3 true

% Computer : n023.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 21:31:07 EDT 2023

% Result   : Theorem 0.57s 0.82s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   39 (  14 unt;  13 typ;   0 def)
%            Number of atoms       :   96 (  30 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  231 (  42   ~;  40   |;  16   &; 119   @)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  29   !;  10   ?;  39   :)

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

thf(sk__50_type,type,
    sk__50: $i ).

thf(nil_type,type,
    nil: $i ).

thf(lt_type,type,
    lt: $i > $i > $o ).

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

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

thf(sk__51_type,type,
    sk__51: $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(sk__47_type,type,
    sk__47: $i ).

thf(sk__48_type,type,
    sk__48: $i ).

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

thf(cons_type,type,
    cons: $i > $i > $i ).

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

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ! [Y: $i] :
                        ( ( ssList @ Y )
                       => ( ( ( app @ W @ Y )
                           != X )
                          | ~ ( strictorderedP @ W )
                          | ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ? [X2: $i] :
                                      ( ? [X3: $i] :
                                          ( ( lt @ X2 @ Z )
                                          & ( ( app @ X3 @ ( cons @ X2 @ nil ) )
                                            = W )
                                          & ( ssList @ X3 ) )
                                      & ( ssItem @ X2 ) )
                                  & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                    = Y )
                                  & ( ssList @ X1 ) )
                              & ( ssItem @ Z ) ) ) )
                    | ( segmentP @ V @ U )
                    | ( ( nil != X )
                      & ( nil = W ) ) ) ) ) ) ) ).

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 )
                      | ! [Y: $i] :
                          ( ( ssList @ Y )
                         => ( ( ( app @ W @ Y )
                             != X )
                            | ~ ( strictorderedP @ W )
                            | ? [Z: $i] :
                                ( ? [X1: $i] :
                                    ( ? [X2: $i] :
                                        ( ? [X3: $i] :
                                            ( ( lt @ X2 @ Z )
                                            & ( ( app @ X3 @ ( cons @ X2 @ nil ) )
                                              = W )
                                            & ( ssList @ X3 ) )
                                        & ( ssItem @ X2 ) )
                                    & ( ( app @ ( cons @ Z @ nil ) @ X1 )
                                      = Y )
                                    & ( ssList @ X1 ) )
                                & ( ssItem @ Z ) ) ) )
                      | ( segmentP @ V @ U )
                      | ( ( nil != X )
                        & ( nil = W ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl196,plain,
    ( ( app @ sk__49 @ sk__51 )
    = sk__50 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1512,plain,
    ( ( app @ sk__47 @ sk__51 )
    = sk__48 ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl193,zip_derived_cl199]) ).

thf(ax28,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ nil @ U )
        = U ) ) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i] :
      ( ( ( app @ nil @ X0 )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax28]) ).

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_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X1 )
      | ( ( app @ ( app @ X3 @ X0 ) @ X1 )
       != X2 )
      | ~ ( ssList @ X3 )
      | ( segmentP @ X2 @ X0 )
      | ~ ( ssList @ X2 ) ),
    inference(cnf,[status(esa)],[ax7]) ).

thf(zip_derived_cl1616,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ nil )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl21]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl83,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl1626,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X2 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ( segmentP @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1616,zip_derived_cl83]) ).

thf(zip_derived_cl1627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X1 )
      | ( segmentP @ X1 @ X0 )
      | ( ( app @ X0 @ X2 )
       != X1 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1626]) ).

thf(zip_derived_cl1636,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ( sk__48 != X0 )
      | ~ ( ssList @ sk__51 )
      | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1512,zip_derived_cl1627]) ).

thf(zip_derived_cl195,plain,
    ssList @ sk__51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1644,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ( segmentP @ X0 @ sk__47 )
      | ( sk__48 != X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1636,zip_derived_cl195,zip_derived_cl190]) ).

thf(zip_derived_cl192,plain,
    ~ ( segmentP @ sk__48 @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1655,plain,
    ( ( sk__48 != sk__48 )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1644,zip_derived_cl192]) ).

thf(zip_derived_cl200,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl199_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1511,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl199]) ).

thf(zip_derived_cl1657,plain,
    sk__48 != sk__48,
    inference(demod,[status(thm)],[zip_derived_cl1655,zip_derived_cl1511]) ).

thf(zip_derived_cl1658,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1657]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC372+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mLVzvuSIi3 true
% 0.13/0.34  % Computer : n023.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 15:02:40 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
% 0.42/0.62  % Total configuration time : 435
% 0.42/0.62  % Estimated wc time : 1092
% 0.42/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.82  % Solved by fo/fo6_bce.sh.
% 0.57/0.82  % BCE start: 202
% 0.57/0.82  % BCE eliminated: 6
% 0.57/0.82  % PE start: 196
% 0.57/0.82  logic: eq
% 0.57/0.82  % PE eliminated: 6
% 0.57/0.82  % done 77 iterations in 0.102s
% 0.57/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.82  % SZS output start Refutation
% See solution above
% 0.57/0.82  
% 0.57/0.82  
% 0.57/0.82  % Terminating...
% 1.56/0.96  % Runner terminated.
% 1.56/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------