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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM683^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZvOAknUnt2 true

% Computer : n007.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 04:47:58 PM UTC 2025

% Result   : Theorem 0.35s 0.84s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   59 (   3   ~;   1   |;   0   &;  54   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

thf(more_type,type,
    more: nat > nat > $o ).

thf(y_type,type,
    y: nat ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf(satz20d,conjecture,
    more @ x @ y ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( more @ x @ y ),
    inference('cnf.neg',[status(esa)],[satz20d]) ).

thf(zip_derived_cl3,plain,
    ~ ( more @ x @ y ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m,axiom,
    more @ ( pl @ z @ x ) @ ( pl @ z @ y ) ).

thf(zip_derived_cl0,plain,
    more @ ( pl @ z @ x ) @ ( pl @ z @ y ),
    inference(cnf,[status(esa)],[m]) ).

thf(satz6,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( pl @ Xx @ Xy )
      = ( pl @ Xy @ Xx ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X1 @ X0 )
      = ( pl @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz6]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ X1 @ X0 )
      = ( pl @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz6]) ).

thf(zip_derived_cl4,plain,
    more @ ( pl @ x @ z ) @ ( pl @ y @ z ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl2,zip_derived_cl2]) ).

thf(satz20a,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ( more @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xz ) )
     => ( more @ Xx @ Xy ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( more @ X0 @ X1 )
      | ~ ( more @ ( pl @ X0 @ X2 ) @ ( pl @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz20a]) ).

thf(zip_derived_cl9,plain,
    more @ x @ y,
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19  % Problem  : NUM683^1 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.20  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZvOAknUnt2 true
% 0.13/0.44  % Computer : n007.cluster.edu
% 0.13/0.44  % Model    : x86_64 x86_64
% 0.13/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.44  % Memory   : 8042.1875MB
% 0.13/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.44  % CPULimit : 300
% 0.13/0.44  % WCLimit  : 300
% 0.13/0.44  % DateTime : Wed Oct  1 16:42:08 EDT 2025
% 0.13/0.44  % CPUTime  : 
% 0.13/0.44  % Running portfolio for 300 s
% 0.13/0.44  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44  % Number of cores: 8
% 0.13/0.44  % Python version: Python 3.6.8
% 0.13/0.45  % Running in HO mode
% 0.34/0.74  % Total configuration time : 828
% 0.34/0.74  % Estimated wc time : 1656
% 0.34/0.74  % Estimated cpu time (8 cpus) : 207.0
% 0.35/0.81  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.35/0.82  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.35/0.83  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.35/0.83  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.35/0.83  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.35/0.83  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.35/0.83  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.35/0.84  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.35/0.84  % Solved by lams/40_c.s.sh.
% 0.35/0.84  % done 4 iterations in 0.009s
% 0.35/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.35/0.84  % SZS output start Refutation
% See solution above
% 0.35/0.84  
% 0.35/0.84  
% 0.35/0.84  % Terminating...
% 1.63/0.94  % Runner terminated.
% 1.63/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------