TSTP Solution File: SWC059+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC059+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.grFp3HqgED true

% Computer : n025.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 21:28:51 EDT 2023

% Result   : Theorem 1.14s 0.78s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   56 (  23 unt;   8 typ;   0 def)
%            Number of atoms       :  121 (  42 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  254 (  59   ~;  49   |;  12   &; 122   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   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   :   20 (   0   ^;  18   !;   2   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nil_type,type,
    nil: $i ).

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

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

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

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

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

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

thf(sk__6_type,type,
    sk__6: $i ).

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

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(ax55,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( segmentP @ U @ U ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i] :
      ( ( segmentP @ X0 @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax55]) ).

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

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

thf(zip_derived_cl46,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ( segmentP @ sk__9 @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_001,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl393,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( segmentP @ sk__7 @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl48,zip_derived_cl48,zip_derived_cl44]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( nil = sk__7 )
      | ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ( ( nil != sk__6 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( neq @ X1 @ X0 )
      | ( X1 != X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl334,plain,
    ( ( nil != sk__6 )
    | ~ ( ssList @ sk__7 )
    | ( sk__7 != nil )
    | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl9]) ).

thf(zip_derived_cl49,plain,
    ssList @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_002,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl48]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl12,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl337,plain,
    ( ( nil != sk__6 )
    | ( sk__7 != nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl314,zip_derived_cl12]) ).

thf(zip_derived_cl47,plain,
    ( ( nil = sk__8 )
    | ( nil != sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_003,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl311,plain,
    ( ( nil = sk__6 )
    | ( nil != sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl44]) ).

thf(zip_derived_cl48_004,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl312,plain,
    ( ( nil = sk__6 )
    | ( nil != sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl48]) ).

thf(zip_derived_cl341,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl337,zip_derived_cl312]) ).

thf(zip_derived_cl477,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ sk__6 @ X0 )
      | ~ ( segmentP @ sk__7 @ X0 )
      | ~ ( neq @ X0 @ nil )
      | ~ ( ssList @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl41,zip_derived_cl341]) ).

thf(zip_derived_cl483,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ~ ( ssList @ sk__6 )
    | ~ ( neq @ sk__6 @ nil )
    | ~ ( segmentP @ sk__6 @ sk__6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl477]) ).

thf(zip_derived_cl38,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    ( ( nil = sk__7 )
    | ( neq @ sk__7 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( neq @ sk__9 @ nil )
    | ( neq @ sk__8 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48_005,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44_006,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ( neq @ sk__6 @ nil ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl48,zip_derived_cl44]) ).

thf(zip_derived_cl348,plain,
    ( ( nil = sk__7 )
    | ( neq @ sk__6 @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl343]) ).

thf(zip_derived_cl341_007,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl337,zip_derived_cl312]) ).

thf(zip_derived_cl351,plain,
    neq @ sk__6 @ nil,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl348,zip_derived_cl341]) ).

thf(zip_derived_cl486,plain,
    ( ~ ( neq @ sk__7 @ nil )
    | ~ ( segmentP @ sk__6 @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl483,zip_derived_cl38,zip_derived_cl351]) ).

thf(zip_derived_cl504,plain,
    ( ~ ( ssList @ sk__6 )
    | ~ ( neq @ sk__7 @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl486]) ).

thf(zip_derived_cl38_008,plain,
    ssList @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl505,plain,
    ~ ( neq @ sk__7 @ nil ),
    inference(demod,[status(thm)],[zip_derived_cl504,zip_derived_cl38]) ).

thf(zip_derived_cl511,plain,
    ( ~ ( ssList @ sk__7 )
    | ( sk__7 = nil )
    | ~ ( ssList @ nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl505]) ).

thf(zip_derived_cl314_009,plain,
    ssList @ sk__7,
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl48]) ).

thf(zip_derived_cl12_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl513,plain,
    sk__7 = nil,
    inference(demod,[status(thm)],[zip_derived_cl511,zip_derived_cl314,zip_derived_cl12]) ).

thf(zip_derived_cl341_011,plain,
    sk__7 != nil,
    inference(clc,[status(thm)],[zip_derived_cl337,zip_derived_cl312]) ).

thf(zip_derived_cl514,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl513,zip_derived_cl341]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.grFp3HqgED true
% 0.12/0.34  % Computer : n025.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 16:57:54 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.78  % Solved by fo/fo3_bce.sh.
% 1.14/0.78  % BCE start: 51
% 1.14/0.78  % BCE eliminated: 0
% 1.14/0.78  % PE start: 51
% 1.14/0.78  logic: eq
% 1.14/0.78  % PE eliminated: 0
% 1.14/0.78  % done 69 iterations in 0.039s
% 1.14/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.14/0.78  % SZS output start Refutation
% See solution above
% 1.14/0.79  
% 1.14/0.79  
% 1.14/0.79  % Terminating...
% 1.14/0.84  % Runner terminated.
% 1.14/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------