TSTP Solution File: SWC008+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC008+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.Nlrlp7wfMM true

% Computer : n007.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 21:28:27 EDT 2023

% Result   : Theorem 0.56s 0.85s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   51 (  19 unt;  12 typ;   0 def)
%            Number of atoms       :  115 (  33 equ;   0 cnn)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  302 (  57   ~;  47   |;  17   &; 169   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   40 (   0   ^;  31   !;   9   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frontsegP_type,type,
    frontsegP: $i > $i > $o ).

thf(sk__12_type,type,
    sk__12: $i ).

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

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(equalelemsP_type,type,
    equalelemsP: $i > $o ).

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

thf(sk__11_type,type,
    sk__11: $i ).

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

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

thf(sk__2_type,type,
    sk__2: $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 )
                    | ~ ( frontsegP @ X @ W )
                    | ~ ( equalelemsP @ W )
                    | ? [Y: $i] :
                        ( ? [Z: $i] :
                            ( ? [X1: $i] :
                                ( ( ( app @ Y @ X1 )
                                  = U )
                                & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                  = V )
                                & ( ssList @ X1 ) )
                            & ( ssList @ Z ) )
                        & ( ssList @ Y ) )
                    | ? [X2: $i] :
                        ( ( equalelemsP @ X2 )
                        & ( segmentP @ X2 @ W )
                        & ( frontsegP @ X @ X2 )
                        & ( neq @ W @ X2 )
                        & ( ssList @ X2 ) ) ) ) ) ) ) ).

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 )
                      | ~ ( frontsegP @ X @ W )
                      | ~ ( equalelemsP @ W )
                      | ? [Y: $i] :
                          ( ? [Z: $i] :
                              ( ? [X1: $i] :
                                  ( ( ( app @ Y @ X1 )
                                    = U )
                                  & ( ( app @ ( app @ Y @ Z ) @ X1 )
                                    = V )
                                  & ( ssList @ X1 ) )
                              & ( ssList @ Z ) )
                          & ( ssList @ Y ) )
                      | ? [X2: $i] :
                          ( ( equalelemsP @ X2 )
                          & ( segmentP @ X2 @ W )
                          & ( frontsegP @ X @ X2 )
                          & ( neq @ W @ X2 )
                          & ( ssList @ X2 ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl66,plain,
    frontsegP @ sk__14 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    sk__11 = sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75,plain,
    frontsegP @ sk__12 @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl67,zip_derived_cl64]) ).

thf(ax5,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( frontsegP @ U @ V )
          <=> ? [W: $i] :
                ( ( ( app @ V @ W )
                  = U )
                & ( ssList @ W ) ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( ( app @ X0 @ ( sk__2 @ X0 @ X1 ) )
        = X1 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl592,plain,
    ( ~ ( ssList @ sk__12 )
    | ( ( app @ sk__11 @ ( sk__2 @ sk__11 @ sk__12 ) )
      = sk__12 )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl5]) ).

thf(zip_derived_cl68,plain,
    ssList @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67_001,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74,plain,
    ssList @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).

thf(zip_derived_cl60,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl603,plain,
    ( ( app @ sk__11 @ ( sk__2 @ sk__11 @ sk__12 ) )
    = sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl592,zip_derived_cl74,zip_derived_cl60]) ).

thf(ax84,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( app @ U @ nil )
        = U ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl59_002,plain,
    ! [X0: $i] :
      ( ( ( app @ X0 @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax84]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( ssList @ X0 )
      | ( ( app @ X1 @ X2 )
       != sk__11 )
      | ( ( app @ ( app @ X1 @ X0 ) @ X2 )
       != sk__12 )
      | ~ ( ssList @ X2 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != sk__11 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ nil )
      | ( ( app @ ( app @ X0 @ X1 ) @ nil )
       != sk__12 )
      | ~ ( ssList @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl62]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl22,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != sk__11 )
      | ~ ( ssList @ X0 )
      | ~ ( ssList @ X0 )
      | ( ( app @ ( app @ X0 @ X1 ) @ nil )
       != sk__12 )
      | ~ ( ssList @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl22]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X1 )
      | ( ( app @ ( app @ X0 @ X1 ) @ nil )
       != sk__12 )
      | ~ ( ssList @ X0 )
      | ( X0 != sk__11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl87]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ sk__11 )
      | ( ( app @ ( app @ sk__11 @ X0 ) @ nil )
       != sk__12 )
      | ~ ( ssList @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl60_003,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( ( app @ ( app @ sk__11 @ X0 ) @ nil )
       != sk__12 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl60]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i] :
      ( ( ( app @ sk__11 @ X0 )
       != sk__12 )
      | ~ ( ssList @ ( app @ sk__11 @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl92]) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i] :
      ( ( ( app @ sk__11 @ X0 )
       != sk__12 )
      | ~ ( ssList @ sk__12 )
      | ~ ( ssList @ X0 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl131]) ).

thf(zip_derived_cl74_004,plain,
    ssList @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).

thf(zip_derived_cl137,plain,
    ! [X0: $i] :
      ( ( ( app @ sk__11 @ X0 )
       != sk__12 )
      | ~ ( ssList @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl74]) ).

thf(zip_derived_cl677,plain,
    ( ( sk__12 != sk__12 )
    | ~ ( ssList @ ( sk__2 @ sk__11 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl137]) ).

thf(zip_derived_cl75_005,plain,
    frontsegP @ sk__12 @ sk__11,
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl67,zip_derived_cl64]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( frontsegP @ X1 @ X0 )
      | ( ssList @ ( sk__2 @ X0 @ X1 ) )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl150,plain,
    ( ~ ( ssList @ sk__12 )
    | ( ssList @ ( sk__2 @ sk__11 @ sk__12 ) )
    | ~ ( ssList @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl6]) ).

thf(zip_derived_cl74_006,plain,
    ssList @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).

thf(zip_derived_cl60_007,plain,
    ssList @ sk__11,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154,plain,
    ssList @ ( sk__2 @ sk__11 @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl74,zip_derived_cl60]) ).

thf(zip_derived_cl695,plain,
    sk__12 != sk__12,
    inference(demod,[status(thm)],[zip_derived_cl677,zip_derived_cl154]) ).

thf(zip_derived_cl696,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl695]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC008+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.Nlrlp7wfMM true
% 0.13/0.34  % Computer : n007.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 16:10:58 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
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.66  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.85  % Solved by fo/fo7.sh.
% 0.56/0.85  % done 183 iterations in 0.085s
% 0.56/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.85  % SZS output start Refutation
% See solution above
% 0.56/0.85  
% 0.56/0.85  
% 0.56/0.85  % Terminating...
% 1.82/0.94  % Runner terminated.
% 1.82/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------