TSTP Solution File: SWC257+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC257+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.rFZkhizytn true

% Computer : n020.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 21:30:17 EDT 2023

% Result   : Theorem 1.23s 0.80s
% Output   : Refutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (   9 unt;  10 typ;   0 def)
%            Number of atoms       :   58 (  24 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  114 (  24   ~;  24   |;   8   &;  51   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  12   !;   2   ?;  14   :)

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

thf(totalorderedP_type,type,
    totalorderedP: $i > $o ).

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

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

thf(sk__51_type,type,
    sk__51: $i ).

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

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

thf(leq_type,type,
    leq: $i > $i > $o ).

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

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( ( nil != W )
                      | ( nil != X ) )
                    & ! [Y: $i] :
                        ( ? [Z: $i] :
                            ( ( leq @ Y @ Z )
                            & ( memberP @ X @ Z )
                            & ( Y != Z )
                            & ( ssItem @ Z ) )
                        | ~ ( memberP @ X @ Y )
                        | ( ( cons @ Y @ nil )
                         != W )
                        | ~ ( ssItem @ Y ) ) )
                  | ( totalorderedP @ U )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( ( nil != W )
                        | ( nil != X ) )
                      & ! [Y: $i] :
                          ( ? [Z: $i] :
                              ( ( leq @ Y @ Z )
                              & ( memberP @ X @ Z )
                              & ( Y != Z )
                              & ( ssItem @ Z ) )
                          | ~ ( memberP @ X @ Y )
                          | ( ( cons @ Y @ nil )
                           != W )
                          | ~ ( ssItem @ Y ) ) )
                    | ( totalorderedP @ U )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

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

thf(zip_derived_cl196,plain,
    ( ( nil = sk__49 )
    | ( ( cons @ sk__51 @ nil )
      = sk__49 ) ),
    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_cl193_001,plain,
    sk__47 = sk__49,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1523,plain,
    ( ( nil = sk__47 )
    | ( ( cons @ sk__51 @ nil )
      = sk__47 ) ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl193,zip_derived_cl193]) ).

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_cl1543,plain,
    ( ( nil = sk__47 )
    | ( totalorderedP @ sk__47 )
    | ~ ( ssItem @ sk__51 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl145]) ).

thf(zip_derived_cl192_002,plain,
    ~ ( totalorderedP @ sk__47 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1566,plain,
    ( ~ ( ssItem @ sk__51 )
    | ( nil = sk__47 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1543,zip_derived_cl192]) ).

thf(zip_derived_cl197,plain,
    ( ( nil = sk__49 )
    | ( ssItem @ sk__51 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl1517,plain,
    ( ( nil = sk__47 )
    | ( ssItem @ sk__51 ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl193]) ).

thf(zip_derived_cl1567,plain,
    nil = sk__47,
    inference(clc,[status(thm)],[zip_derived_cl1566,zip_derived_cl1517]) ).

thf(ax66,axiom,
    totalorderedP @ nil ).

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

thf(zip_derived_cl1569,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl1567,zip_derived_cl146]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC257+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rFZkhizytn true
% 0.13/0.34  % Computer : n020.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 16:33:58 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
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.23/0.80  % Solved by fo/fo6_bce.sh.
% 1.23/0.80  % BCE start: 205
% 1.23/0.80  % BCE eliminated: 6
% 1.23/0.80  % PE start: 199
% 1.23/0.80  logic: eq
% 1.23/0.80  % PE eliminated: 6
% 1.23/0.80  % done 40 iterations in 0.079s
% 1.23/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.23/0.80  % SZS output start Refutation
% See solution above
% 1.23/0.80  
% 1.23/0.80  
% 1.23/0.80  % Terminating...
% 1.23/0.84  % Runner terminated.
% 1.23/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------