TSTP Solution File: SWC332+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC332+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.PvjGoOfGsR true

% Computer : n031.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 21:30:49 EDT 2023

% Result   : Theorem 1.06s 0.81s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   66 (  28 unt;  13 typ;   0 def)
%            Number of atoms       :  111 (  20 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  234 (  48   ~;  31   |;   5   &; 128   @)
%                                         (   3 <=>;  13  =>;   6  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  21   !;   1   ?;  22   :)

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

thf(sk__4_type,type,
    sk__4: $i > $i ).

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

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

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

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

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

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

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

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

thf(singletonP_type,type,
    singletonP: $i > $o ).

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

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

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

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 )
                      | ~ ( segmentP @ X @ W )
                      | ( ~ ( singletonP @ W )
                        & ( neq @ X @ nil ) )
                      | ( ( segmentP @ V @ U )
                        & ( equalelemsP @ U ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

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

thf(zip_derived_cl199,plain,
    ( ~ ( equalelemsP @ sk__47 )
   <= ~ ( equalelemsP @ sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf(zip_derived_cl195,plain,
    segmentP @ sk__50 @ sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196,plain,
    sk__48 = 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_cl237,plain,
    segmentP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl196,zip_derived_cl193]) ).

thf(zip_derived_cl200,plain,
    ( ~ ( segmentP @ sk__48 @ sk__47 )
   <= ~ ( segmentP @ sk__48 @ sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf('0',plain,
    segmentP @ sk__48 @ sk__47,
    inference('s_sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl200]) ).

thf('1',plain,
    ( ~ ( equalelemsP @ sk__47 )
    | ~ ( segmentP @ sk__48 @ sk__47 ) ),
    inference(split,[status(esa)],[zip_derived_cl192]) ).

thf('2',plain,
    ~ ( equalelemsP @ sk__47 ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl240,plain,
    ~ ( equalelemsP @ sk__47 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl199,'2']) ).

thf(zip_derived_cl237_001,plain,
    segmentP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl196,zip_derived_cl193]) ).

thf(zip_derived_cl196_002,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    ( ( singletonP @ sk__49 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl201,plain,
    ( ~ ( neq @ sk__50 @ nil )
   <= ~ ( neq @ sk__50 @ nil ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(zip_derived_cl204,plain,
    ( ~ ( neq @ sk__48 @ nil )
   <= ~ ( neq @ sk__50 @ nil ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl201]) ).

thf(zip_derived_cl202,plain,
    ( ( singletonP @ sk__49 )
   <= ( singletonP @ sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf(ax4,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( singletonP @ U )
      <=> ? [V: $i] :
            ( ( ( cons @ V @ nil )
              = U )
            & ( ssItem @ V ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( singletonP @ X0 )
      | ( ( cons @ ( sk__4 @ X0 ) @ nil )
        = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(ax73,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ( equalelemsP @ ( cons @ U @ nil ) ) ) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i] :
      ( ( equalelemsP @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax73]) ).

thf(zip_derived_cl323,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( singletonP @ X0 )
      | ( equalelemsP @ X0 )
      | ~ ( ssItem @ ( sk__4 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl161]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( singletonP @ X0 )
      | ( ssItem @ ( sk__4 @ X0 ) )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl353,plain,
    ! [X0: $i] :
      ( ( equalelemsP @ X0 )
      | ~ ( singletonP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl323,zip_derived_cl10]) ).

thf(zip_derived_cl357,plain,
    ( ( ( equalelemsP @ sk__49 )
      | ~ ( ssList @ sk__49 ) )
   <= ( singletonP @ sk__49 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl353]) ).

thf(zip_derived_cl193_003,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl240_004,plain,
    ~ ( equalelemsP @ sk__47 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl199,'2']) ).

thf(zip_derived_cl193_005,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf('3',plain,
    ~ ( singletonP @ sk__49 ),
    inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl193,zip_derived_cl240,zip_derived_cl193,zip_derived_cl190]) ).

thf('4',plain,
    ( ~ ( neq @ sk__50 @ nil )
    | ( singletonP @ sk__49 ) ),
    inference(split,[status(esa)],[zip_derived_cl194]) ).

thf('5',plain,
    ~ ( neq @ sk__50 @ nil ),
    inference('sat_resolution*',[status(thm)],['3','4']) ).

thf(zip_derived_cl364,plain,
    ~ ( neq @ sk__48 @ nil ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl204,'5']) ).

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

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl409,plain,
    ( ~ ( ssList @ nil )
    | ( sk__48 = nil )
    | ~ ( ssList @ sk__48 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl81]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl197,plain,
    ssList @ sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl196_006,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl233,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl410,plain,
    sk__48 = nil,
    inference(demod,[status(thm)],[zip_derived_cl409,zip_derived_cl83,zip_derived_cl233]) ).

thf(zip_derived_cl415,plain,
    segmentP @ nil @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl410]) ).

thf(ax58,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ( ( segmentP @ nil @ U )
      <=> ( nil = U ) ) ) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i] :
      ( ~ ( segmentP @ nil @ X0 )
      | ( nil = X0 )
      | ~ ( ssList @ X0 ) ),
    inference(cnf,[status(esa)],[ax58]) ).

thf(zip_derived_cl437,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl138]) ).

thf(zip_derived_cl190_007,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl438,plain,
    nil = sk__47,
    inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl190]) ).

thf(ax74,axiom,
    equalelemsP @ nil ).

thf(zip_derived_cl162,plain,
    equalelemsP @ nil,
    inference(cnf,[status(esa)],[ax74]) ).

thf(zip_derived_cl441,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl438,zip_derived_cl162]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC332+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.PvjGoOfGsR true
% 0.12/0.34  % Computer : n031.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 17:45:55 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.06/0.81  % Solved by fo/fo1_av.sh.
% 1.06/0.81  % done 143 iterations in 0.075s
% 1.06/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.06/0.81  % SZS output start Refutation
% See solution above
% 1.40/0.81  
% 1.40/0.81  
% 1.40/0.81  % Terminating...
% 1.59/0.85  % Runner terminated.
% 1.59/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------