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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO383^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UpRiAZsogo true

% Computer : n015.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 05:07:21 PM UTC 2025

% Result   : Theorem 0.58s 0.79s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   19 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  249 (  42   ~;  31   |;  14   &; 162   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   66 (   0   ^;  66   !;   0   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(d_type,type,
    d: $i ).

thf(cQ_2_type,type,
    cQ_2: $i > $i > $i > $o ).

thf(cP_1_type,type,
    cP_1: $i > $i > $o ).

thf(b_type,type,
    b: $i ).

thf(a_type,type,
    a: $i ).

thf(c_type,type,
    c: $i ).

thf(cQ_1_type,type,
    cQ_1: $i > $i > $i > $o ).

thf(f_type,type,
    f: $i > $i ).

thf(cTHM409_1,conjecture,
    ~ ( ( cQ_1 @ a @ b @ c )
      & ( cP_1 @ a @ a )
      & ( cP_1 @ b @ b )
      & ( cP_1 @ c @ c )
      & ! [Xx: $i] : ( cP_1 @ d @ Xx )
      & ! [Xx: $i,Xy: $i] :
          ( ( cP_1 @ ( f @ Xx ) @ Xy )
          | ~ ( cP_1 @ Xx @ Xy ) )
      & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
          ( ( cQ_2 @ Xu @ Xv @ Xw )
          | ~ ( cP_1 @ ( f @ Xz ) @ Xw )
          | ~ ( cP_1 @ ( f @ Xy ) @ Xv )
          | ~ ( cP_1 @ ( f @ Xx ) @ Xu )
          | ~ ( cQ_1 @ Xx @ Xy @ Xz ) )
      & ! [Xx: $i,Xy: $i,Xz: $i] :
          ~ ( cQ_2 @ Xx @ Xy @ Xz ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( cQ_1 @ a @ b @ c )
    & ( cP_1 @ a @ a )
    & ( cP_1 @ b @ b )
    & ( cP_1 @ c @ c )
    & ! [Xx: $i] : ( cP_1 @ d @ Xx )
    & ! [Xx: $i,Xy: $i] :
        ( ( cP_1 @ ( f @ Xx ) @ Xy )
        | ~ ( cP_1 @ Xx @ Xy ) )
    & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
        ( ( cQ_2 @ Xu @ Xv @ Xw )
        | ~ ( cP_1 @ ( f @ Xz ) @ Xw )
        | ~ ( cP_1 @ ( f @ Xy ) @ Xv )
        | ~ ( cP_1 @ ( f @ Xx ) @ Xu )
        | ~ ( cQ_1 @ Xx @ Xy @ Xz ) )
    & ! [Xx: $i,Xy: $i,Xz: $i] :
        ~ ( cQ_2 @ Xx @ Xy @ Xz ) ),
    inference('cnf.neg',[status(esa)],[cTHM409_1]) ).

thf(zip_derived_cl5,plain,
    cP_1 @ b @ b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    cP_1 @ c @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    cP_1 @ a @ a,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X9: $i,X10: $i] :
      ( ( cP_1 @ ( f @ X9 ) @ X10 )
      | ~ ( cP_1 @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    cQ_1 @ a @ b @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_001,plain,
    ! [X9: $i,X10: $i] :
      ( ( cP_1 @ ( f @ X9 ) @ X10 )
      | ~ ( cP_1 @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_002,plain,
    ! [X9: $i,X10: $i] :
      ( ( cP_1 @ ( f @ X9 ) @ X10 )
      | ~ ( cP_1 @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( cP_1 @ ( f @ X3 ) @ X4 )
      | ~ ( cP_1 @ ( f @ X5 ) @ X6 )
      | ~ ( cQ_1 @ X5 @ X3 @ X7 )
      | ~ ( cP_1 @ ( f @ X7 ) @ X8 )
      | ( cQ_2 @ X6 @ X4 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ~ ( cQ_2 @ X0 @ X1 @ X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( cP_1 @ ( f @ X7 ) @ X8 )
      | ~ ( cQ_1 @ X5 @ X3 @ X7 )
      | ~ ( cP_1 @ ( f @ X5 ) @ X6 )
      | ~ ( cP_1 @ ( f @ X3 ) @ X4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_1 @ X1 @ X0 )
      | ~ ( cP_1 @ ( f @ X3 ) @ X2 )
      | ~ ( cP_1 @ ( f @ X5 ) @ X4 )
      | ~ ( cQ_1 @ X5 @ X3 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_1 @ X1 @ X0 )
      | ~ ( cQ_1 @ X3 @ X1 @ X2 )
      | ~ ( cP_1 @ ( f @ X3 ) @ X4 )
      | ~ ( cP_1 @ X2 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cP_1 @ c @ X0 )
      | ~ ( cP_1 @ ( f @ a ) @ X1 )
      | ~ ( cP_1 @ b @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl19]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cP_1 @ a @ X0 )
      | ~ ( cP_1 @ b @ X1 )
      | ~ ( cP_1 @ c @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl29]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP_1 @ c @ X0 )
      | ~ ( cP_1 @ b @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl31]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ~ ( cP_1 @ b @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl33]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl35]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO383^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UpRiAZsogo true
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 18:09:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.55/0.67  % Total configuration time : 828
% 0.55/0.67  % Estimated wc time : 1656
% 0.55/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.79  % Solved by lams/40_c_ic.sh.
% 0.58/0.79  % done 29 iterations in 0.021s
% 0.58/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.79  % SZS output start Refutation
% See solution above
% 0.58/0.79  
% 0.58/0.79  
% 0.58/0.79  % Terminating...
% 0.62/0.87  % Runner terminated.
% 0.62/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------