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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW344+1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iLUQXvegzC true

% Computer : n020.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 05:02:39 PM UTC 2025

% Result   : Theorem 3.34s 1.38s
% Output   : Refutation 3.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  133 (  19   ~;  12   |;   0   &;  98   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-4 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_c_type,type,
    v_c: $i ).

thf(v_Z_type,type,
    v_Z: $i ).

thf(v_s_H_type,type,
    v_s_H: $i ).

thf(v_s1_type,type,
    v_s1: $i ).

thf(v_Q_type,type,
    v_Q: $i > $i > $o ).

thf(v_d_type,type,
    v_d: $i ).

thf(v_n_type,type,
    v_n: $i ).

thf(v_s_type,type,
    v_s: $i ).

thf(c_Natural_Oevaln_type,type,
    c_Natural_Oevaln: $i > $i > $i > $i > $o ).

thf(v_P_type,type,
    v_P: $i > $i > $o ).

thf(v_R_type,type,
    v_R: $i > $i > $o ).

thf(conj_5,axiom,
    c_Natural_Oevaln @ v_d @ v_s1 @ v_n @ v_s_H ).

thf(zip_derived_cl66,plain,
    c_Natural_Oevaln @ v_d @ v_s1 @ v_n @ v_s_H,
    inference(cnf,[status(esa)],[conj_5]) ).

thf(conj_3,axiom,
    v_P @ v_Z @ v_s ).

thf(zip_derived_cl64,plain,
    v_P @ v_Z @ v_s,
    inference(cnf,[status(esa)],[conj_3]) ).

thf(conj_1,axiom,
    ! [B_Z: $i,B_s: $i] :
      ( ( v_P @ B_Z @ B_s )
     => ! [B_s_H: $i] :
          ( ( c_Natural_Oevaln @ v_c @ B_s @ v_n @ B_s_H )
         => ( v_Q @ B_Z @ B_s_H ) ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( c_Natural_Oevaln @ v_c @ X0 @ v_n @ X1 )
      | ( v_Q @ X2 @ X1 )
      | ~ ( v_P @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl396,plain,
    ! [X0: $i] :
      ( ( v_Q @ v_Z @ X0 )
      | ~ ( c_Natural_Oevaln @ v_c @ v_s @ v_n @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl64,zip_derived_cl62]) ).

thf(conj_2,axiom,
    ! [B_Z: $i,B_s: $i] :
      ( ( v_Q @ B_Z @ B_s )
     => ! [B_s_H: $i] :
          ( ( c_Natural_Oevaln @ v_d @ B_s @ v_n @ B_s_H )
         => ( v_R @ B_Z @ B_s_H ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( c_Natural_Oevaln @ v_d @ X0 @ v_n @ X1 )
      | ( v_R @ X2 @ X1 )
      | ~ ( v_Q @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(conj_6,conjecture,
    v_R @ v_Z @ v_s_H ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( v_R @ v_Z @ v_s_H ),
    inference('cnf.neg',[status(esa)],[conj_6]) ).

thf(zip_derived_cl67,plain,
    ~ ( v_R @ v_Z @ v_s_H ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl397,plain,
    ! [X0: $i] :
      ( ~ ( v_Q @ v_Z @ X0 )
      | ~ ( c_Natural_Oevaln @ v_d @ X0 @ v_n @ v_s_H ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl63,zip_derived_cl67]) ).

thf(zip_derived_cl400,plain,
    ! [X0: $i,X1: $i] :
      ( ( v_Z != v_Z )
      | ( X0 != X1 )
      | ~ ( c_Natural_Oevaln @ v_c @ v_s @ v_n @ X0 )
      | ~ ( c_Natural_Oevaln @ v_d @ X1 @ v_n @ v_s_H ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl396,zip_derived_cl397]) ).

thf(zip_derived_cl432,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( c_Natural_Oevaln @ v_d @ X1 @ v_n @ v_s_H )
      | ~ ( c_Natural_Oevaln @ v_c @ v_s @ v_n @ X0 )
      | ( X0 != X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl400]) ).

thf(zip_derived_cl433,plain,
    ! [X0: $i] :
      ( ~ ( c_Natural_Oevaln @ v_c @ v_s @ v_n @ X0 )
      | ~ ( c_Natural_Oevaln @ v_d @ X0 @ v_n @ v_s_H ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl432]) ).

thf(zip_derived_cl440,plain,
    ~ ( c_Natural_Oevaln @ v_c @ v_s @ v_n @ v_s1 ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl433]) ).

thf(conj_4,axiom,
    c_Natural_Oevaln @ v_c @ v_s @ v_n @ v_s1 ).

thf(zip_derived_cl65,plain,
    c_Natural_Oevaln @ v_c @ v_s @ v_n @ v_s1,
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl441,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW344+1 : TPTP v9.2.0. Released v5.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iLUQXvegzC true
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 12:07:38 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.68  % Total configuration time : 435
% 0.57/0.68  % Estimated wc time : 1092
% 0.57/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.82  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.85  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.86  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 3.34/1.38  % Solved by fo/fo3_bce.sh.
% 3.34/1.38  % BCE start: 68
% 3.34/1.38  % BCE eliminated: 0
% 3.34/1.38  % PE start: 68
% 3.34/1.38  logic: eq
% 3.34/1.38  % PE eliminated: 8
% 3.34/1.38  % done 7 iterations in 0.549s
% 3.34/1.38  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.34/1.38  % SZS output start Refutation
% See solution above
% 3.34/1.38  
% 3.34/1.38  
% 3.34/1.38  % Terminating...
% 4.01/1.57  % Runner terminated.
% 4.01/1.57  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------