TSTP Solution File: CSR153^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR153^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JvlF9lMXb6 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 : Wed Aug 30 22:08:18 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   17 (  16 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   57 (  19   ~;   9   |;   5   &;  24   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   6   ^;  13   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lBill_THFTYPE_i_type,type,
    lBill_THFTYPE_i: $i ).

thf(lSue_THFTYPE_i_type,type,
    lSue_THFTYPE_i: $i ).

thf(lBob_THFTYPE_i_type,type,
    lBob_THFTYPE_i: $i ).

thf(con,conjecture,
    ? [R: $i > $i > $o] :
      ( ~ ! [X: $i,Y: $i] : ( R @ X @ Y )
      & ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
      & ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [R: $i > $i > $o] :
        ( ~ ! [X: $i,Y: $i] : ( R @ X @ Y )
        & ( R @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
        & ( R @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i] :
      ( ( X0 @ X1 @ X2 )
      | ~ ( X0 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
      | ~ ( X0 @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
        @ X1
        @ X0 )
      | ~ ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
          @ lSue_THFTYPE_i
          @ lBob_THFTYPE_i )
      | ~ ( ^ [Y0: $i,Y1: $i] : ( Y0 != Y1 )
          @ lBob_THFTYPE_i
          @ lBill_THFTYPE_i ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ( lSue_THFTYPE_i != lBob_THFTYPE_i )
      | ( lBob_THFTYPE_i != lBill_THFTYPE_i ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ( lSue_THFTYPE_i = lBob_THFTYPE_i )
      | ( lBob_THFTYPE_i = lBill_THFTYPE_i ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl116,plain,
    ( ( lBob_THFTYPE_i = lBill_THFTYPE_i )
    | ( lSue_THFTYPE_i = lBob_THFTYPE_i ) ),
    inference(simplify,[status(thm)],[zip_derived_cl115]) ).

thf(ax_002,axiom,
    ( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
    & ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ) ).

thf(zip_derived_cl6,plain,
    lSue_THFTYPE_i != lBob_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_002]) ).

thf(ax_004,axiom,
    lBob_THFTYPE_i != lBill_THFTYPE_i ).

thf(zip_derived_cl11,plain,
    lBob_THFTYPE_i != lBill_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_004]) ).

thf(zip_derived_cl120,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl116,zip_derived_cl6,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR153^1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JvlF9lMXb6 true
% 0.13/0.34  % Computer : n031.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 08:00:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73  % Solved by lams/40_c.s.sh.
% 0.20/0.73  % done 12 iterations in 0.028s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% See solution above
% 0.20/0.74  
% 0.20/0.74  
% 0.20/0.74  % Terminating...
% 1.59/0.85  % Runner terminated.
% 1.59/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------