TSTP Solution File: SWC258+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC258+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.r8y5eeWuEv true

% Computer : n006.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 21:30:18 EDT 2023

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% 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 :  110 (  20   ~;  20   |;   8   &;  51   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 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__17_type,type,
    sk__17: $i ).

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

thf(sk__19_type,type,
    sk__19: $i ).

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

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

thf(sk__21_type,type,
    sk__21: $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] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ( totalorderedP @ U )
                    | ( ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ( ( ( cons @ Y @ nil )
                             != W )
                            | ~ ( memberP @ X @ Y )
                            | ? [Z: $i] :
                                ( ( leq @ Z @ Y )
                                & ( memberP @ X @ Z )
                                & ( Y != Z )
                                & ( ssItem @ Z ) ) ) )
                      & ( ( nil != X )
                        | ( nil != W ) ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl87,plain,
    ~ ( totalorderedP @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ( ( ( cons @ sk__21 @ nil )
      = sk__19 )
    | ( nil = sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88_001,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl713,plain,
    ( ( ( cons @ sk__21 @ nil )
      = sk__17 )
    | ( nil = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl88,zip_derived_cl88]) ).

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

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( totalorderedP @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax65]) ).

thf(zip_derived_cl721,plain,
    ( ( totalorderedP @ sk__17 )
    | ( nil = sk__17 )
    | ~ ( ssItem @ sk__21 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl713,zip_derived_cl51]) ).

thf(zip_derived_cl87_002,plain,
    ~ ( totalorderedP @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl730,plain,
    ( ~ ( ssItem @ sk__21 )
    | ( nil = sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl721,zip_derived_cl87]) ).

thf(zip_derived_cl96,plain,
    ( ( ssItem @ sk__21 )
    | ( nil = sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88_003,plain,
    sk__17 = sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl703,plain,
    ( ( ssItem @ sk__21 )
    | ( nil = sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl88]) ).

thf(zip_derived_cl731,plain,
    nil = sk__17,
    inference(clc,[status(thm)],[zip_derived_cl730,zip_derived_cl703]) ).

thf(ax66,axiom,
    totalorderedP @ nil ).

thf(zip_derived_cl52,plain,
    totalorderedP @ nil,
    inference(cnf,[status(esa)],[ax66]) ).

thf(zip_derived_cl733,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl731,zip_derived_cl52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWC258+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r8y5eeWuEv true
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 16:52:51 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.67  % Total configuration time : 435
% 0.21/0.67  % Estimated wc time : 1092
% 0.21/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.81  % Solved by fo/fo3_bce.sh.
% 0.60/0.81  % BCE start: 100
% 0.60/0.81  % BCE eliminated: 2
% 0.60/0.81  % PE start: 98
% 0.60/0.81  logic: eq
% 0.60/0.81  % PE eliminated: 0
% 0.60/0.81  % done 35 iterations in 0.036s
% 0.60/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.81  % SZS output start Refutation
% See solution above
% 0.60/0.81  
% 0.60/0.81  
% 0.60/0.81  % Terminating...
% 0.60/0.87  % Runner terminated.
% 0.60/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------