TSTP Solution File: SWC277+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC277+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.EEXQ0VuyHv true

% Computer : n008.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 21:30:25 EDT 2023

% Result   : Theorem 1.46s 0.83s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   54 (  22 unt;  13 typ;   0 def)
%            Number of atoms       :   92 (  23 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  173 (  31   ~;  32   |;   3   &;  91   @)
%                                         (   3 <=>;  13  =>;   0  <=;   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(totalorderedP_type,type,
    totalorderedP: $i > $o ).

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

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 )
                    | ( totalorderedP @ U )
                    | ( ~ ( singletonP @ W )
                      & ( neq @ X @ nil ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl192,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl1521,plain,
    segmentP @ sk__48 @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl196,zip_derived_cl193]) ).

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_cl194,plain,
    ( ( singletonP @ sk__49 )
    | ~ ( neq @ sk__50 @ nil ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1458,plain,
    ( ~ ( ssList @ sk__50 )
    | ( sk__50 = nil )
    | ~ ( ssList @ nil )
    | ( singletonP @ sk__49 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl194]) ).

thf(zip_derived_cl196_001,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(zip_derived_cl1520,plain,
    ssList @ sk__48,
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl196]) ).

thf(zip_derived_cl196_003,plain,
    sk__48 = sk__50,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

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

thf(zip_derived_cl193_004,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1535,plain,
    ( ( sk__48 = nil )
    | ( singletonP @ sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1458,zip_derived_cl196,zip_derived_cl1520,zip_derived_cl196,zip_derived_cl83,zip_derived_cl193]) ).

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(ax65,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ( totalorderedP @ ( cons @ U @ nil ) ) ) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i] :
      ( ( totalorderedP @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax65]) ).

thf(zip_derived_cl1566,plain,
    ! [X0: $i] :
      ( ~ ( ssList @ X0 )
      | ~ ( singletonP @ X0 )
      | ( totalorderedP @ X0 )
      | ~ ( ssItem @ ( sk__4 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl145]) ).

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

thf(zip_derived_cl1646,plain,
    ! [X0: $i] :
      ( ( totalorderedP @ X0 )
      | ~ ( singletonP @ X0 )
      | ~ ( ssList @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1566,zip_derived_cl10]) ).

thf(zip_derived_cl1650,plain,
    ( ( sk__48 = nil )
    | ( totalorderedP @ sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1535,zip_derived_cl1646]) ).

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

thf(zip_derived_cl1652,plain,
    ( ( sk__48 = nil )
    | ( totalorderedP @ sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1650,zip_derived_cl190]) ).

thf(zip_derived_cl192_005,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1655,plain,
    sk__48 = nil,
    inference(clc,[status(thm)],[zip_derived_cl1652,zip_derived_cl192]) ).

thf(zip_derived_cl1658,plain,
    segmentP @ nil @ sk__47,
    inference(demod,[status(thm)],[zip_derived_cl1521,zip_derived_cl1655]) ).

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_cl1677,plain,
    ( ( nil = sk__47 )
    | ~ ( ssList @ sk__47 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1658,zip_derived_cl138]) ).

thf(zip_derived_cl190_006,plain,
    ssList @ sk__47,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1678,plain,
    nil = sk__47,
    inference(demod,[status(thm)],[zip_derived_cl1677,zip_derived_cl190]) ).

thf(ax66,axiom,
    totalorderedP @ nil ).

thf(zip_derived_cl146,plain,
    totalorderedP @ nil,
    inference(cnf,[status(esa)],[ax66]) ).

thf(zip_derived_cl1680,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl1678,zip_derived_cl146]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC277+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EEXQ0VuyHv true
% 0.16/0.35  % Computer : n008.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Aug 28 17:50:02 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.16/0.35  % Running portfolio for 300 s
% 0.16/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.36  % Python version: Python 3.6.8
% 0.16/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.46/0.83  % Solved by fo/fo6_bce.sh.
% 1.46/0.83  % BCE start: 199
% 1.46/0.83  % BCE eliminated: 4
% 1.46/0.83  % PE start: 195
% 1.46/0.83  logic: eq
% 1.46/0.83  % PE eliminated: 6
% 1.46/0.83  % done 88 iterations in 0.100s
% 1.46/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.46/0.83  % SZS output start Refutation
% See solution above
% 1.46/0.83  
% 1.46/0.83  
% 1.46/0.83  % Terminating...
% 2.01/0.95  % Runner terminated.
% 2.01/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------