TSTP Solution File: SWC207+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC207+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PL9lbXdc0o true

% Computer : n003.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 21:29:53 EDT 2023

% Result   : Theorem 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   45 (  18 unt;  12 typ;   0 def)
%            Number of atoms       :   89 (  36 equ;   0 cnn)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  179 (  42   ~;  33   |;   8   &;  81   @)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  20   !;   2   ?;  22   :)

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

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

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

thf(sk__19_type,type,
    sk__19: $i ).

thf(sk__20_type,type,
    sk__20: $i ).

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

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

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

thf(sk__21_type,type,
    sk__21: $i ).

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

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

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

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

thf(zip_derived_cl98,plain,
    ( ( ( cons @ sk__21 @ nil )
      = sk__19 )
    | ( nil = sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl91,plain,
    ~ ( neq @ sk__17 @ nil ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl752,plain,
    ( ~ ( ssList @ sk__17 )
    | ( sk__17 = nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl26,zip_derived_cl91]) ).

thf(zip_derived_cl89,plain,
    ssList @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl28,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl768,plain,
    sk__17 = nil,
    inference(demod,[status(thm)],[zip_derived_cl752,zip_derived_cl89,zip_derived_cl28]) ).

thf(zip_derived_cl770,plain,
    nil = sk__19,
    inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl768]) ).

thf(zip_derived_cl102,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl774,plain,
    ( ( ( cons @ sk__21 @ nil )
      = nil )
    | ( nil = sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl770,zip_derived_cl102]) ).

thf(zip_derived_cl92,plain,
    neq @ sk__18 @ nil,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl754,plain,
    ( ~ ( ssList @ sk__18 )
    | ( sk__18 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl92,zip_derived_cl25]) ).

thf(zip_derived_cl762,plain,
    ( ( sk__18 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl754]) ).

thf(zip_derived_cl28_001,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl763,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl762,zip_derived_cl28]) ).

thf(zip_derived_cl775,plain,
    ( ( cons @ sk__21 @ nil )
    = nil ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl774,zip_derived_cl763]) ).

thf(ax18,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssItem @ V )
         => ( ( cons @ V @ U )
           != U ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssItem @ X0 )
      | ( ( cons @ X0 @ X1 )
       != X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax18]) ).

thf(zip_derived_cl776,plain,
    ( ( nil != nil )
    | ~ ( ssList @ nil )
    | ~ ( ssItem @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl775,zip_derived_cl29]) ).

thf(zip_derived_cl28_002,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl100,plain,
    ( ( ssItem @ sk__21 )
    | ( nil = sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_003,plain,
    sk__18 = sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl764,plain,
    ( ( ssItem @ sk__21 )
    | ( nil = sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl102]) ).

thf(zip_derived_cl763_004,plain,
    sk__18 != nil,
    inference(demod,[status(thm)],[zip_derived_cl762,zip_derived_cl28]) ).

thf(zip_derived_cl765,plain,
    ssItem @ sk__21,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl764,zip_derived_cl763]) ).

thf(zip_derived_cl778,plain,
    nil != nil,
    inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl28,zip_derived_cl765]) ).

thf(zip_derived_cl779,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl778]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC207+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PL9lbXdc0o true
% 0.13/0.34  % Computer : n003.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 15:05:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.54/0.65  % Total configuration time : 435
% 0.54/0.65  % Estimated wc time : 1092
% 0.54/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80  % Solved by fo/fo3_bce.sh.
% 0.57/0.80  % BCE start: 105
% 0.57/0.80  % BCE eliminated: 2
% 0.57/0.80  % PE start: 103
% 0.57/0.80  logic: eq
% 0.57/0.80  % PE eliminated: 1
% 0.57/0.80  % done 33 iterations in 0.039s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% See solution above
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 0.59/0.87  % Runner terminated.
% 1.68/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------