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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP125^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.91oYMWNj0h true

% Computer : n025.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 04:38:54 PM UTC 2025

% Result   : Theorem 36.34s 5.18s
% Output   : Refutation 36.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (   4 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   69 (   4   ~;   0   |;   2   &;  53   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   6 con; 0-3 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   16 (  10   ^;   6   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(prefix1027212443list_a_type,type,
    prefix1027212443list_a: $tType ).

thf(trace_1367752404list_a_type,type,
    trace_1367752404list_a: $tType ).

thf(formula_a_type,type,
    formula_a: $tType ).

thf(ord_less_eq_nat_type,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(sigma_type,type,
    sigma: trace_1367752404list_a ).

thf(ord_less_nat_type,type,
    ord_less_nat: nat > nat > $o ).

thf(plen_P694648887list_a_type,type,
    plen_P694648887list_a: prefix1027212443list_a > nat ).

thf(k_type,type,
    k: nat ).

thf(pi_type,type,
    pi: prefix1027212443list_a ).

thf(monito1457594016ress_a_type,type,
    monito1457594016ress_a: trace_1367752404list_a > formula_a > nat > nat ).

thf(phi_1_type,type,
    phi_1: formula_a ).

thf(conj_0,conjecture,
    ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl283,plain,
    ~ ( ord_less_nat @ k @ ( plen_P694648887list_a @ pi ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062,axiom,
    ord_less_nat @ k @ ( monito1457594016ress_a @ sigma @ phi_1 @ ( plen_P694648887list_a @ pi ) ) ).

thf(zip_derived_cl0,plain,
    ord_less_nat @ k @ ( monito1457594016ress_a @ sigma @ phi_1 @ ( plen_P694648887list_a @ pi ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062k_A_060_AMonitor__Mirabelle__prbptmgypa_Oprogress_A_092_060sigma_062_A_092_060phi_0621_A_Iplen_A_092_060pi_062_J_092_060close_062]) ).

thf(fact_20_progress__le,axiom,
    ! [Sigma: trace_1367752404list_a,Phi: formula_a,J: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ Sigma @ Phi @ J ) @ J ) ).

thf(zip_derived_cl20,plain,
    ( !!
    @ ^ [Y0: trace_1367752404list_a] :
        ( !!
        @ ^ [Y1: formula_a] :
            ( !!
            @ ^ [Y2: nat] : ( ord_less_eq_nat @ ( monito1457594016ress_a @ Y0 @ Y1 @ Y2 ) @ Y2 ) ) ) ),
    inference(cnf,[status(esa)],[fact_20_progress__le]) ).

thf(fact_140_dual__order_Ostrict__trans,axiom,
    ! [B: nat,A: nat,C2: nat] :
      ( ( ord_less_nat @ B @ A )
     => ( ( ord_less_nat @ C2 @ B )
       => ( ord_less_nat @ C2 @ A ) ) ) ).

thf(zip_derived_cl140,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( !!
            @ ^ [Y2: nat] :
                ( ( ord_less_nat @ Y0 @ Y1 )
               => ( ( ord_less_nat @ Y2 @ Y0 )
                 => ( ord_less_nat @ Y2 @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_140_dual__order_Ostrict__trans]) ).

thf(fact_56_dual__order_Ostrict__iff__order,axiom,
    ( ord_less_nat
    = ( ^ [B2: nat,A2: nat] :
          ( ( A2 != B2 )
          & ( ord_less_eq_nat @ B2 @ A2 ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ( ord_less_nat
    = ( ^ [Y0: nat,Y1: nat] :
          ( ( Y1 != Y0 )
          & ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_56_dual__order_Ostrict__iff__order]) ).

thf(zip_derived_cl3802,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl283,zip_derived_cl0,zip_derived_cl20,zip_derived_cl140,zip_derived_cl56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ITP125^1 : TPTP v9.2.0. Released v7.5.0.
% 0.04/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.91oYMWNj0h true
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:34:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.53/0.66  % Total configuration time : 828
% 0.53/0.66  % Estimated wc time : 1656
% 0.53/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.55/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 36.34/5.18  % Solved by lams/15_e_short1.sh.
% 36.34/5.18  % done 155 iterations in 4.421s
% 36.34/5.18  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.34/5.18  % SZS output start Refutation
% See solution above
% 36.34/5.18  
% 36.34/5.18  
% 36.34/5.18  % Terminating...
% 36.34/5.29  % Runner terminated.
% 36.34/5.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------