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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP216^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J45pBSyi6D true

% Computer : n029.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 : Sat Feb 28 09:48:06 AM UTC 2026

% Result   : Theorem 7.67s 1.54s
% Output   : Refutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   36 (   7   ~;   2   |;   0   &;  26   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option3216581401566546698it_nat_type,type,
    option3216581401566546698it_nat: $tType ).

thf(heap_T6362127782908069795rray_a_type,type,
    heap_T6362127782908069795rray_a: $tType ).

thf(list_a_type,type,
    list_a: $tType ).

thf(heap_e7401611519738050253t_unit_type,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(array_of_list_a_type,type,
    array_of_list_a: list_a > heap_T6362127782908069795rray_a ).

thf(h_type,type,
    h: heap_e7401611519738050253t_unit ).

thf(heap_T5591663578999710211rray_a_type,type,
    heap_T5591663578999710211rray_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > option3216581401566546698it_nat ).

thf(none_P2587165478634041381it_nat_type,type,
    none_P2587165478634041381it_nat: option3216581401566546698it_nat ).

thf(xs_type,type,
    xs: list_a ).

thf(heap_T6932021131025641745rray_a_type,type,
    heap_T6932021131025641745rray_a: heap_T6362127782908069795rray_a > heap_e7401611519738050253t_unit > $o ).

thf(conj_0,conjecture,
    ( ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h )
   != none_P2587165478634041381it_nat ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h )
    = none_P2587165478634041381it_nat ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl138,plain,
    ( ( heap_T5591663578999710211rray_a @ ( array_of_list_a @ xs ) @ h )
    = none_P2587165478634041381it_nat ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_12_success__def,axiom,
    ! [F2: heap_T6362127782908069795rray_a,H: heap_e7401611519738050253t_unit] :
      ( ( heap_T6932021131025641745rray_a @ F2 @ H )
    <=> ( ( heap_T5591663578999710211rray_a @ F2 @ H )
       != none_P2587165478634041381it_nat ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: heap_T6362127782908069795rray_a,X1: heap_e7401611519738050253t_unit] :
      ( ( ( heap_T5591663578999710211rray_a @ X0 @ X1 )
       != none_P2587165478634041381it_nat )
      | ~ ( heap_T6932021131025641745rray_a @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_12_success__def]) ).

thf(zip_derived_cl331,plain,
    ( ( none_P2587165478634041381it_nat != none_P2587165478634041381it_nat )
    | ~ ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ xs ) @ h ) ),
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl2]) ).

thf(fact_45_success__of__listI,axiom,
    ! [Xs: list_a,H3: heap_e7401611519738050253t_unit] : ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ Xs ) @ H3 ) ).

thf(zip_derived_cl4,plain,
    ! [X0: list_a,X1: heap_e7401611519738050253t_unit] : ( heap_T6932021131025641745rray_a @ ( array_of_list_a @ X0 ) @ X1 ),
    inference(cnf,[status(esa)],[fact_45_success__of__listI]) ).

thf(zip_derived_cl333,plain,
    none_P2587165478634041381it_nat != none_P2587165478634041381it_nat,
    inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl4]) ).

thf(zip_derived_cl334,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl333]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ITP216^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J45pBSyi6D true
% 0.12/0.31  % Computer : n029.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Thu Feb 26 04:55:59 EST 2026
% 0.12/0.31  % CPUTime  : 
% 0.12/0.31  % Running portfolio for 300 s
% 0.12/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.31  % Number of cores: 8
% 0.12/0.31  % Python version: Python 3.6.8
% 0.12/0.31  % Running in HO mode
% 0.44/0.61  % Total configuration time : 828
% 0.44/0.61  % Estimated wc time : 1656
% 0.44/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.46/0.68  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.46/0.69  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 7.67/1.52  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 7.67/1.54  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 7.67/1.54  % Solved by lams/40_c.s.sh.
% 7.67/1.54  % done 25 iterations in 0.838s
% 7.67/1.54  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.67/1.54  % SZS output start Refutation
% See solution above
% 7.67/1.54  
% 7.67/1.54  
% 7.67/1.54  % Terminating...
% 3.96/1.63  % Runner terminated.
% 3.96/1.64  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------