TSTP Solution File: SWC105+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC105+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.EKIL7IhU0t true

% Computer : n013.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 21:29:12 EDT 2023

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   50 (  19 unt;   8 typ;   0 def)
%            Number of atoms       :  112 (  57 equ;   0 cnn)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  206 (  55   ~;  51   |;   6   &;  81   @)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

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

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

thf(rearsegP_type,type,
    rearsegP: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

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

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

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

thf(ax52,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( rearsegP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( rearsegP @ nil @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax52]) ).

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

thf(zip_derived_cl47,plain,
    ( ( nil = sk__7 )
    | ( rearsegP @ sk__8 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_001,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl353,plain,
    ( ( nil = sk__5 )
    | ( rearsegP @ sk__6 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl43,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl44,plain,
    ( ( nil = sk__8 )
    | ( neq @ sk__7 @ nil ) ),
    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_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl326,plain,
    ( ( nil = sk__8 )
    | ~ ( ssList @ sk__7 )
    | ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl8]) ).

thf(zip_derived_cl350,plain,
    ( ( nil = sk__8 )
    | ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl326]) ).

thf(zip_derived_cl48_002,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_003,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl11,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl351,plain,
    ( ( nil = sk__6 )
    | ( sk__5 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl48,zip_derived_cl43,zip_derived_cl11]) ).

thf(zip_derived_cl41,plain,
    ( ( nil != sk__5 )
    | ( neq @ sk__6 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl318,plain,
    ( ( nil != sk__5 )
    | ~ ( ssList @ sk__6 )
    | ( sk__6 != nil )
    | ~ ( ssList @ nil ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl8]) ).

thf(zip_derived_cl344,plain,
    ( ( nil != sk__5 )
    | ( sk__6 != nil )
    | ~ ( ssList @ nil ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl318]) ).

thf(zip_derived_cl11_005,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl345,plain,
    ( ( nil != sk__5 )
    | ( sk__6 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl11]) ).

thf(zip_derived_cl352,plain,
    sk__5 != nil,
    inference(clc,[status(thm)],[zip_derived_cl351,zip_derived_cl345]) ).

thf(zip_derived_cl354,plain,
    rearsegP @ sk__6 @ sk__5,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl353,zip_derived_cl352]) ).

thf(zip_derived_cl44_006,plain,
    ( ( nil = sk__8 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ( ( nil = sk__6 )
    | ~ ( neq @ sk__5 @ nil )
    | ~ ( rearsegP @ sk__6 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl329,plain,
    ( ( sk__7 != sk__5 )
    | ( nil != nil )
    | ( nil = sk__8 )
    | ~ ( rearsegP @ sk__6 @ sk__5 )
    | ( nil = sk__6 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl44,zip_derived_cl40]) ).

thf(zip_derived_cl449,plain,
    ( ( nil = sk__6 )
    | ~ ( rearsegP @ sk__6 @ sk__5 )
    | ( nil = sk__8 )
    | ( sk__7 != sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl329]) ).

thf(zip_derived_cl354_007,plain,
    rearsegP @ sk__6 @ sk__5,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl353,zip_derived_cl352]) ).

thf(zip_derived_cl48_008,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_009,plain,
    sk__5 = sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl450,plain,
    ( ( nil = sk__6 )
    | ( nil = sk__6 )
    | ( sk__5 != sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl354,zip_derived_cl48,zip_derived_cl43]) ).

thf(zip_derived_cl451,plain,
    nil = sk__6,
    inference(simplify,[status(thm)],[zip_derived_cl450]) ).

thf(zip_derived_cl454,plain,
    rearsegP @ nil @ sk__5,
    inference(demod,[status(thm)],[zip_derived_cl354,zip_derived_cl451]) ).

thf(zip_derived_cl462,plain,
    ( ~ ( ssList @ sk__5 )
    | ( nil = sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl454]) ).

thf(zip_derived_cl37,plain,
    ssList @ sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl463,plain,
    nil = sk__5,
    inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl37]) ).

thf(zip_derived_cl352_010,plain,
    sk__5 != nil,
    inference(clc,[status(thm)],[zip_derived_cl351,zip_derived_cl345]) ).

thf(zip_derived_cl464,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl463,zip_derived_cl352]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC105+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EKIL7IhU0t true
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 16:35:02 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.52/0.65  % Total configuration time : 435
% 0.52/0.65  % Estimated wc time : 1092
% 0.52/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76  % Solved by fo/fo3_bce.sh.
% 0.56/0.76  % BCE start: 51
% 0.56/0.76  % BCE eliminated: 0
% 0.56/0.76  % PE start: 51
% 0.56/0.76  logic: eq
% 0.56/0.76  % PE eliminated: -4
% 0.56/0.76  % done 50 iterations in 0.027s
% 0.56/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.76  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 1.75/0.85  % Runner terminated.
% 1.79/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------