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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR153^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tE9V8jLG2F true

% Computer : n018.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 Oct  2 04:32:30 PM UTC 2025

% Result   : Theorem 1.09s 0.74s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (  17 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  24   ~;   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   :   20 (   6   ^;  12   !;   2   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lBob_THFTYPE_i_type,type,
    lBob_THFTYPE_i: $i ).

thf(lBill_THFTYPE_i_type,type,
    lBill_THFTYPE_i: $i ).

thf(lSue_THFTYPE_i_type,type,
    lSue_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_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( ^ [Y0: $i,Y1: $i] : ( X0 != Y1 )
        @ X1
        @ X0 )
      | ~ ( ^ [Y0: $i,Y1: $i] : ( X0 != Y1 )
          @ lSue_THFTYPE_i
          @ lBob_THFTYPE_i )
      | ~ ( ^ [Y0: $i,Y1: $i] : ( X0 != Y1 )
          @ lBob_THFTYPE_i
          @ lBill_THFTYPE_i ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] :
      ( ( X0 != X0 )
      | ~ ( ( X0 != lBob_THFTYPE_i ) )
      | ~ ( ( X0 != lBill_THFTYPE_i ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ~ ( ( X0 != lBob_THFTYPE_i ) )
      | ~ ( ( X0 != lBill_THFTYPE_i ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i] :
      ( ( X0 = lBob_THFTYPE_i )
      | ( X0 = lBill_THFTYPE_i ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl78]) ).

thf(ax_020,axiom,
    ( ( lSue_THFTYPE_i != lBob_THFTYPE_i )
    & ( lSue_THFTYPE_i != lBill_THFTYPE_i ) ) ).

thf(zip_derived_cl3,plain,
    lSue_THFTYPE_i != lBill_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_020]) ).

thf(zip_derived_cl196,plain,
    ( ( lBill_THFTYPE_i != lBill_THFTYPE_i )
    | ( lSue_THFTYPE_i = lBob_THFTYPE_i ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl3]) ).

thf(zip_derived_cl220,plain,
    lSue_THFTYPE_i = lBob_THFTYPE_i,
    inference(simplify,[status(thm)],[zip_derived_cl196]) ).

thf(zip_derived_cl2,plain,
    lSue_THFTYPE_i != lBob_THFTYPE_i,
    inference(cnf,[status(esa)],[ax_020]) ).

thf(zip_derived_cl221,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl220,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : CSR153^2 : TPTP v9.2.0. Released v4.1.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tE9V8jLG2F true
% 0.11/0.34  % Computer : n018.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Wed Oct  1 14:45:53 EDT 2025
% 0.11/0.34  % CPUTime  : 
% 0.11/0.34  % Running portfolio for 300 s
% 0.11/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.34  % Running in HO mode
% 0.17/0.57  % Total configuration time : 828
% 0.17/0.57  % Estimated wc time : 1656
% 0.17/0.57  % Estimated cpu time (8 cpus) : 207.0
% 0.91/0.63  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.91/0.63  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.91/0.64  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.91/0.65  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.91/0.65  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.91/0.66  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.91/0.68  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.91/0.68  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.09/0.74  % Solved by lams/40_c_ic.sh.
% 1.09/0.74  % done 17 iterations in 0.056s
% 1.09/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.09/0.74  % SZS output start Refutation
% See solution above
% 1.09/0.74  
% 1.09/0.74  
% 1.09/0.74  % Terminating...
% 1.09/0.78  % Runner terminated.
% 1.09/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------