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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP183^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iS3IiHtuJ7 true

% Computer : n016.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 04:39:05 PM UTC 2025

% Result   : Theorem 4.58s 1.18s
% Output   : Refutation 4.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  210 (   7   ~;   4   |;   0   &; 176   @)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-2 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   32 (  10   ^;  22   !;   0   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pi_type,type,
    pi: $tType ).

thf(name_type,type,
    name: $tType ).

thf(late_residual_type,type,
    late_residual: $tType ).

thf(late_freeRes_type,type,
    late_freeRes: $tType ).

thf(alpha_type,type,
    alpha: late_freeRes ).

thf(x_type,type,
    x: name ).

thf(late_transitions_type,type,
    late_transitions: pi > late_residual > $o ).

thf(fresh_1641682979reeRes_type,type,
    fresh_1641682979reeRes: name > late_freeRes > $o ).

thf(res_type,type,
    res: name > pi > pi ).

thf(p_type,type,
    p: pi ).

thf(late_FreeR_type,type,
    late_FreeR: late_freeRes > pi > late_residual ).

thf(q_type,type,
    q: pi ).

thf(sum_type,type,
    sum: pi > pi > pi ).

thf(q2_type,type,
    q2: pi ).

thf(conj_0,conjecture,
    late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl313,plain,
    ~ ( late_transitions @ ( res @ x @ ( sum @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ q2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_13_ResF,axiom,
    ! [P: pi,Alpha: late_freeRes,P3: pi,Y2: name] :
      ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P3 ) )
     => ( ( fresh_1641682979reeRes @ Y2 @ Alpha )
       => ( late_transitions @ ( res @ Y2 @ P ) @ ( late_FreeR @ Alpha @ ( res @ Y2 @ P3 ) ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ( !!
    @ ^ [Y0: pi] :
        ( !!
        @ ^ [Y1: late_freeRes] :
            ( !!
            @ ^ [Y2: pi] :
                ( !!
                @ ^ [Y3: name] :
                    ( ( late_transitions @ Y0 @ ( late_FreeR @ Y1 @ Y2 ) )
                   => ( ( fresh_1641682979reeRes @ Y3 @ Y1 )
                     => ( late_transitions @ ( res @ Y3 @ Y0 ) @ ( late_FreeR @ Y1 @ ( res @ Y3 @ Y2 ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_13_ResF]) ).

thf(zip_derived_cl884,plain,
    ! [X2: pi] :
      ( !!
      @ ^ [Y0: late_freeRes] :
          ( !!
          @ ^ [Y1: pi] :
              ( !!
              @ ^ [Y2: name] :
                  ( ( late_transitions @ X2 @ ( late_FreeR @ Y0 @ Y1 ) )
                 => ( ( fresh_1641682979reeRes @ Y2 @ Y0 )
                   => ( late_transitions @ ( res @ Y2 @ X2 ) @ ( late_FreeR @ Y0 @ ( res @ Y2 @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl885,plain,
    ! [X2: pi,X4: late_freeRes] :
      ( !!
      @ ^ [Y0: pi] :
          ( !!
          @ ^ [Y1: name] :
              ( ( late_transitions @ X2 @ ( late_FreeR @ X4 @ Y0 ) )
             => ( ( fresh_1641682979reeRes @ Y1 @ X4 )
               => ( late_transitions @ ( res @ Y1 @ X2 ) @ ( late_FreeR @ X4 @ ( res @ Y1 @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl884]) ).

thf(zip_derived_cl886,plain,
    ! [X2: pi,X4: late_freeRes,X6: pi] :
      ( !!
      @ ^ [Y0: name] :
          ( ( late_transitions @ X2 @ ( late_FreeR @ X4 @ X6 ) )
         => ( ( fresh_1641682979reeRes @ Y0 @ X4 )
           => ( late_transitions @ ( res @ Y0 @ X2 ) @ ( late_FreeR @ X4 @ ( res @ Y0 @ X6 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl885]) ).

thf(zip_derived_cl887,plain,
    ! [X2: pi,X4: late_freeRes,X6: pi,X8: name] :
      ( ( late_transitions @ X2 @ ( late_FreeR @ X4 @ X6 ) )
     => ( ( fresh_1641682979reeRes @ X8 @ X4 )
       => ( late_transitions @ ( res @ X8 @ X2 ) @ ( late_FreeR @ X4 @ ( res @ X8 @ X6 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl886]) ).

thf(zip_derived_cl888,plain,
    ! [X2: pi,X4: late_freeRes,X6: pi,X8: name] :
      ( ~ ( late_transitions @ X2 @ ( late_FreeR @ X4 @ X6 ) )
      | ( ( fresh_1641682979reeRes @ X8 @ X4 )
       => ( late_transitions @ ( res @ X8 @ X2 ) @ ( late_FreeR @ X4 @ ( res @ X8 @ X6 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl887]) ).

thf(zip_derived_cl889,plain,
    ! [X2: pi,X4: late_freeRes,X6: pi,X8: name] :
      ( ~ ( fresh_1641682979reeRes @ X8 @ X4 )
      | ( late_transitions @ ( res @ X8 @ X2 ) @ ( late_FreeR @ X4 @ ( res @ X8 @ X6 ) ) )
      | ~ ( late_transitions @ X2 @ ( late_FreeR @ X4 @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl888]) ).

thf(zip_derived_cl896,plain,
    ( ~ ( late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) )
    | ~ ( fresh_1641682979reeRes @ x @ alpha ) ),
    inference('sup+',[status(thm)],[zip_derived_cl313,zip_derived_cl889]) ).

thf(fact_2__092_060open_062P_A_092_060oplus_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AQ_H_092_060close_062,axiom,
    late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ) ).

thf(zip_derived_cl2,plain,
    late_transitions @ ( sum @ p @ q ) @ ( late_FreeR @ alpha @ q2 ),
    inference(cnf,[status(esa)],[fact_2__092_060open_062P_A_092_060oplus_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AQ_H_092_060close_062]) ).

thf(fact_0_cRes_Ohyps_I2_J,axiom,
    fresh_1641682979reeRes @ x @ alpha ).

thf(zip_derived_cl0,plain,
    fresh_1641682979reeRes @ x @ alpha,
    inference(cnf,[status(esa)],[fact_0_cRes_Ohyps_I2_J]) ).

thf(zip_derived_cl909,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl896,zip_derived_cl2,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP183^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iS3IiHtuJ7 true
% 0.13/0.34  % Computer : n016.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 : Wed Oct  1 15:27:38 EDT 2025
% 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
% 0.13/0.35  % Running in HO mode
% 0.57/0.68  % Total configuration time : 828
% 0.57/0.68  % Estimated wc time : 1656
% 0.57/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.88  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 4.58/1.18  % Solved by lams/35_full_unif4.sh.
% 4.58/1.18  % done 116 iterations in 0.393s
% 4.58/1.18  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.58/1.18  % SZS output start Refutation
% See solution above
% 4.58/1.18  
% 4.58/1.18  
% 4.58/1.18  % Terminating...
% 5.06/1.28  % Runner terminated.
% 5.06/1.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------